TSTP Solution File: SYN485+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 04:35:04 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  505 (   1 unt;   0 def)
%            Number of atoms       : 6037 (   0 equ)
%            Maximal formula atoms :  732 (  11 avg)
%            Number of connectives : 8167 (2635   ~;3764   |;1170   &)
%                                         ( 122 <=>; 476  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  112 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  847 ( 847   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1862,plain,
    $false,
    inference(avatar_sat_refutation,[],[f259,f268,f291,f300,f305,f351,f355,f369,f386,f391,f404,f414,f418,f419,f420,f437,f445,f447,f449,f458,f467,f481,f484,f489,f493,f494,f504,f505,f506,f507,f512,f560,f565,f570,f576,f581,f586,f592,f597,f602,f608,f613,f618,f624,f629,f634,f640,f645,f650,f656,f661,f666,f688,f693,f698,f720,f725,f730,f736,f741,f746,f747,f816,f821,f826,f832,f837,f842,f848,f853,f858,f864,f869,f874,f880,f885,f890,f901,f906,f928,f933,f938,f944,f949,f954,f960,f970,f976,f981,f986,f987,f992,f997,f1002,f1008,f1013,f1018,f1053,f1062,f1072,f1089,f1100,f1101,f1109,f1110,f1112,f1120,f1122,f1130,f1159,f1177,f1178,f1213,f1221,f1248,f1257,f1258,f1266,f1276,f1290,f1295,f1297,f1299,f1301,f1305,f1324,f1367,f1368,f1378,f1384,f1403,f1411,f1420,f1445,f1596,f1597,f1601,f1672,f1673,f1715,f1724,f1734,f1753,f1793,f1808,f1812,f1821,f1823,f1851,f1861]) ).

fof(f1861,plain,
    ( ~ spl0_72
    | ~ spl0_74
    | ~ spl0_18
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1859,f1343,f325,f599,f589]) ).

fof(f589,plain,
    ( spl0_72
  <=> c3_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f599,plain,
    ( spl0_74
  <=> c0_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f325,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1343,plain,
    ( spl0_170
  <=> c1_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1859,plain,
    ( ~ c0_1(a2069)
    | ~ c3_1(a2069)
    | ~ spl0_18
    | ~ spl0_170 ),
    inference(resolution,[],[f1345,f326]) ).

fof(f326,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f1345,plain,
    ( c1_1(a2069)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1343]) ).

fof(f1851,plain,
    ( ~ spl0_146
    | spl0_144
    | ~ spl0_24
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1836,f978,f349,f973,f983]) ).

fof(f983,plain,
    ( spl0_146
  <=> c0_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f973,plain,
    ( spl0_144
  <=> c3_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f349,plain,
    ( spl0_24
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f978,plain,
    ( spl0_145
  <=> c2_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1836,plain,
    ( c3_1(a2071)
    | ~ c0_1(a2071)
    | ~ spl0_24
    | ~ spl0_145 ),
    inference(resolution,[],[f350,f980]) ).

fof(f980,plain,
    ( c2_1(a2071)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f350,plain,
    ( ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1823,plain,
    ( spl0_138
    | spl0_166
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1766,f951,f498,f1254,f941]) ).

fof(f941,plain,
    ( spl0_138
  <=> c2_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1254,plain,
    ( spl0_166
  <=> c0_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f498,plain,
    ( spl0_55
  <=> ! [X84] :
        ( ~ c1_1(X84)
        | c0_1(X84)
        | c2_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f951,plain,
    ( spl0_140
  <=> c1_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1766,plain,
    ( c0_1(a2074)
    | c2_1(a2074)
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(resolution,[],[f499,f953]) ).

fof(f953,plain,
    ( c1_1(a2074)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f499,plain,
    ( ! [X84] :
        ( ~ c1_1(X84)
        | c0_1(X84)
        | c2_1(X84) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f1821,plain,
    ( spl0_163
    | spl0_126
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1694,f887,f486,f877,f1190]) ).

fof(f1190,plain,
    ( spl0_163
  <=> c3_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f877,plain,
    ( spl0_126
  <=> c0_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f486,plain,
    ( spl0_53
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f887,plain,
    ( spl0_128
  <=> c1_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1694,plain,
    ( c0_1(a2082)
    | c3_1(a2082)
    | ~ spl0_53
    | ~ spl0_128 ),
    inference(resolution,[],[f487,f889]) ).

fof(f889,plain,
    ( c1_1(a2082)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f487,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1812,plain,
    ( spl0_75
    | spl0_76
    | ~ spl0_53
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1700,f615,f486,f610,f605]) ).

fof(f605,plain,
    ( spl0_75
  <=> c3_1(a2172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f610,plain,
    ( spl0_76
  <=> c0_1(a2172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f615,plain,
    ( spl0_77
  <=> c1_1(a2172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1700,plain,
    ( c0_1(a2172)
    | c3_1(a2172)
    | ~ spl0_53
    | ~ spl0_77 ),
    inference(resolution,[],[f487,f617]) ).

fof(f617,plain,
    ( c1_1(a2172)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f1808,plain,
    ( ~ spl0_139
    | spl0_138
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1796,f951,f371,f941,f946]) ).

fof(f946,plain,
    ( spl0_139
  <=> c3_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f371,plain,
    ( spl0_29
  <=> ! [X10] :
        ( ~ c3_1(X10)
        | c2_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1796,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(resolution,[],[f372,f953]) ).

fof(f372,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c3_1(X10) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1793,plain,
    ( spl0_164
    | spl0_141
    | ~ spl0_57
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1781,f967,f509,f957,f1204]) ).

fof(f1204,plain,
    ( spl0_164
  <=> c2_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f957,plain,
    ( spl0_141
  <=> c3_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f509,plain,
    ( spl0_57
  <=> ! [X91] :
        ( c3_1(X91)
        | c0_1(X91)
        | c2_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f967,plain,
    ( spl0_143
  <=> c0_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1781,plain,
    ( c3_1(a2072)
    | c2_1(a2072)
    | ~ spl0_57
    | spl0_143 ),
    inference(resolution,[],[f510,f969]) ).

fof(f969,plain,
    ( ~ c0_1(a2072)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f510,plain,
    ( ! [X91] :
        ( c0_1(X91)
        | c3_1(X91)
        | c2_1(X91) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1753,plain,
    ( ~ spl0_66
    | ~ spl0_68
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1751,f562,f333,f567,f557]) ).

fof(f557,plain,
    ( spl0_66
  <=> c2_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f567,plain,
    ( spl0_68
  <=> c0_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f333,plain,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f562,plain,
    ( spl0_67
  <=> c1_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1751,plain,
    ( ~ c0_1(a2075)
    | ~ c2_1(a2075)
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(resolution,[],[f564,f334]) ).

fof(f334,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f564,plain,
    ( c1_1(a2075)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f1734,plain,
    ( ~ spl0_139
    | spl0_138
    | ~ spl0_22
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1733,f1254,f341,f941,f946]) ).

fof(f341,plain,
    ( spl0_22
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1733,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_22
    | ~ spl0_166 ),
    inference(resolution,[],[f1255,f342]) ).

fof(f342,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f1255,plain,
    ( c0_1(a2074)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1724,plain,
    ( ~ spl0_124
    | spl0_123
    | ~ spl0_32
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1718,f871,f383,f861,f866]) ).

fof(f866,plain,
    ( spl0_124
  <=> c3_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f861,plain,
    ( spl0_123
  <=> c1_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f383,plain,
    ( spl0_32
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c1_1(X14)
        | ~ c2_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f871,plain,
    ( spl0_125
  <=> c2_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1718,plain,
    ( c1_1(a2084)
    | ~ c3_1(a2084)
    | ~ spl0_32
    | ~ spl0_125 ),
    inference(resolution,[],[f873,f384]) ).

fof(f384,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | c1_1(X14)
        | ~ c3_1(X14) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f873,plain,
    ( c2_1(a2084)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f1715,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_55
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1706,f823,f498,f818,f813]) ).

fof(f813,plain,
    ( spl0_114
  <=> c2_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f818,plain,
    ( spl0_115
  <=> c0_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f823,plain,
    ( spl0_116
  <=> c1_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1706,plain,
    ( c0_1(a2095)
    | c2_1(a2095)
    | ~ spl0_55
    | ~ spl0_116 ),
    inference(resolution,[],[f499,f825]) ).

fof(f825,plain,
    ( c1_1(a2095)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f1673,plain,
    ( spl0_138
    | spl0_166
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1660,f946,f491,f1254,f941]) ).

fof(f491,plain,
    ( spl0_54
  <=> ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c2_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1660,plain,
    ( c0_1(a2074)
    | c2_1(a2074)
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(resolution,[],[f492,f948]) ).

fof(f948,plain,
    ( c3_1(a2074)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f492,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c2_1(X75) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1672,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_54
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1659,f1015,f491,f1010,f1005]) ).

fof(f1005,plain,
    ( spl0_150
  <=> c2_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1010,plain,
    ( spl0_151
  <=> c0_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1015,plain,
    ( spl0_152
  <=> c3_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1659,plain,
    ( c0_1(a2068)
    | c2_1(a2068)
    | ~ spl0_54
    | ~ spl0_152 ),
    inference(resolution,[],[f492,f1017]) ).

fof(f1017,plain,
    ( c3_1(a2068)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1601,plain,
    ( ~ spl0_72
    | spl0_170
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1600,f594,f383,f1343,f589]) ).

fof(f594,plain,
    ( spl0_73
  <=> c2_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1600,plain,
    ( c1_1(a2069)
    | ~ c3_1(a2069)
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(resolution,[],[f596,f384]) ).

fof(f596,plain,
    ( c2_1(a2069)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1597,plain,
    ( ~ spl0_82
    | ~ spl0_83
    | ~ spl0_39
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1546,f1041,f416,f647,f642]) ).

fof(f642,plain,
    ( spl0_82
  <=> c3_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f647,plain,
    ( spl0_83
  <=> c0_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f416,plain,
    ( spl0_39
  <=> ! [X27] :
        ( ~ c3_1(X27)
        | ~ c0_1(X27)
        | ~ c2_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1041,plain,
    ( spl0_155
  <=> c2_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1546,plain,
    ( ~ c0_1(a2149)
    | ~ c3_1(a2149)
    | ~ spl0_39
    | ~ spl0_155 ),
    inference(resolution,[],[f1043,f417]) ).

fof(f417,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | ~ c0_1(X27)
        | ~ c3_1(X27) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f1043,plain,
    ( c2_1(a2149)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1596,plain,
    ( ~ spl0_82
    | spl0_81
    | ~ spl0_32
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1547,f1041,f383,f637,f642]) ).

fof(f637,plain,
    ( spl0_81
  <=> c1_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1547,plain,
    ( c1_1(a2149)
    | ~ c3_1(a2149)
    | ~ spl0_32
    | ~ spl0_155 ),
    inference(resolution,[],[f1043,f384]) ).

fof(f1445,plain,
    ( ~ spl0_173
    | spl0_75
    | ~ spl0_28
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1442,f615,f367,f605,f1408]) ).

fof(f1408,plain,
    ( spl0_173
  <=> c2_1(a2172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f367,plain,
    ( spl0_28
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1442,plain,
    ( c3_1(a2172)
    | ~ c2_1(a2172)
    | ~ spl0_28
    | ~ spl0_77 ),
    inference(resolution,[],[f368,f617]) ).

fof(f368,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c2_1(X8) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1420,plain,
    ( ~ spl0_145
    | ~ spl0_146
    | ~ spl0_20
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1419,f1364,f333,f983,f978]) ).

fof(f1364,plain,
    ( spl0_171
  <=> c1_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1419,plain,
    ( ~ c0_1(a2071)
    | ~ c2_1(a2071)
    | ~ spl0_20
    | ~ spl0_171 ),
    inference(resolution,[],[f1366,f334]) ).

fof(f1366,plain,
    ( c1_1(a2071)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1364]) ).

fof(f1411,plain,
    ( spl0_75
    | spl0_173
    | ~ spl0_35
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1404,f615,f398,f1408,f605]) ).

fof(f398,plain,
    ( spl0_35
  <=> ! [X21] :
        ( ~ c1_1(X21)
        | c2_1(X21)
        | c3_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1404,plain,
    ( c2_1(a2172)
    | c3_1(a2172)
    | ~ spl0_35
    | ~ spl0_77 ),
    inference(resolution,[],[f617,f399]) ).

fof(f399,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | c2_1(X21)
        | c3_1(X21) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1403,plain,
    ( ~ spl0_149
    | spl0_147
    | ~ spl0_25
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1401,f1106,f353,f989,f999]) ).

fof(f999,plain,
    ( spl0_149
  <=> c0_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f989,plain,
    ( spl0_147
  <=> c2_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f353,plain,
    ( spl0_25
  <=> ! [X5] :
        ( ~ c1_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1106,plain,
    ( spl0_160
  <=> c1_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1401,plain,
    ( c2_1(a2070)
    | ~ c0_1(a2070)
    | ~ spl0_25
    | ~ spl0_160 ),
    inference(resolution,[],[f1108,f354]) ).

fof(f354,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f1108,plain,
    ( c1_1(a2070)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1384,plain,
    ( ~ spl0_69
    | ~ spl0_71
    | ~ spl0_18
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1381,f578,f325,f583,f573]) ).

fof(f573,plain,
    ( spl0_69
  <=> c3_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f583,plain,
    ( spl0_71
  <=> c0_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f578,plain,
    ( spl0_70
  <=> c1_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1381,plain,
    ( ~ c0_1(a2073)
    | ~ c3_1(a2073)
    | ~ spl0_18
    | ~ spl0_70 ),
    inference(resolution,[],[f580,f326]) ).

fof(f580,plain,
    ( c1_1(a2073)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1378,plain,
    ( spl0_120
    | spl0_168
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1348,f855,f474,f1292,f845]) ).

fof(f845,plain,
    ( spl0_120
  <=> c3_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1292,plain,
    ( spl0_168
  <=> c0_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f474,plain,
    ( spl0_51
  <=> ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f855,plain,
    ( spl0_122
  <=> c2_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1348,plain,
    ( c0_1(a2087)
    | c3_1(a2087)
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(resolution,[],[f857,f475]) ).

fof(f475,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f857,plain,
    ( c2_1(a2087)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f1368,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_37
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1357,f1292,f407,f850,f845]) ).

fof(f850,plain,
    ( spl0_121
  <=> c1_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f407,plain,
    ( spl0_37
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | c3_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1357,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ spl0_37
    | ~ spl0_168 ),
    inference(resolution,[],[f408,f1294]) ).

fof(f1294,plain,
    ( c0_1(a2087)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1292]) ).

fof(f408,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c1_1(X25)
        | c3_1(X25) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1367,plain,
    ( spl0_144
    | spl0_171
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1354,f983,f407,f1364,f973]) ).

fof(f1354,plain,
    ( c1_1(a2071)
    | c3_1(a2071)
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(resolution,[],[f408,f985]) ).

fof(f985,plain,
    ( c0_1(a2071)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1324,plain,
    ( spl0_141
    | spl0_143
    | ~ spl0_51
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1322,f1204,f474,f967,f957]) ).

fof(f1322,plain,
    ( c0_1(a2072)
    | c3_1(a2072)
    | ~ spl0_51
    | ~ spl0_164 ),
    inference(resolution,[],[f1206,f475]) ).

fof(f1206,plain,
    ( c2_1(a2072)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1305,plain,
    ( ~ spl0_79
    | ~ spl0_154
    | ~ spl0_20
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1117,f631,f333,f1033,f626]) ).

fof(f626,plain,
    ( spl0_79
  <=> c2_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1033,plain,
    ( spl0_154
  <=> c0_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f631,plain,
    ( spl0_80
  <=> c1_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1117,plain,
    ( ~ c0_1(a2160)
    | ~ c2_1(a2160)
    | ~ spl0_20
    | ~ spl0_80 ),
    inference(resolution,[],[f334,f633]) ).

fof(f633,plain,
    ( c1_1(a2160)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f1301,plain,
    ( ~ spl0_82
    | spl0_155
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1056,f647,f341,f1041,f642]) ).

fof(f1056,plain,
    ( c2_1(a2149)
    | ~ c3_1(a2149)
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(resolution,[],[f342,f649]) ).

fof(f649,plain,
    ( c0_1(a2149)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f1299,plain,
    ( ~ spl0_163
    | spl0_126
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1214,f882,f439,f877,f1190]) ).

fof(f439,plain,
    ( spl0_44
  <=> ! [X42] :
        ( ~ c3_1(X42)
        | c0_1(X42)
        | ~ c2_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f882,plain,
    ( spl0_127
  <=> c2_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1214,plain,
    ( c0_1(a2082)
    | ~ c3_1(a2082)
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(resolution,[],[f440,f884]) ).

fof(f884,plain,
    ( c2_1(a2082)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f440,plain,
    ( ! [X42] :
        ( ~ c2_1(X42)
        | c0_1(X42)
        | ~ c3_1(X42) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1297,plain,
    ( spl0_78
    | spl0_154
    | ~ spl0_51
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1287,f626,f474,f1033,f621]) ).

fof(f621,plain,
    ( spl0_78
  <=> c3_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1287,plain,
    ( c0_1(a2160)
    | c3_1(a2160)
    | ~ spl0_51
    | ~ spl0_79 ),
    inference(resolution,[],[f475,f628]) ).

fof(f628,plain,
    ( c2_1(a2160)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1295,plain,
    ( spl0_120
    | spl0_168
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1284,f855,f474,f1292,f845]) ).

fof(f1284,plain,
    ( c0_1(a2087)
    | c3_1(a2087)
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(resolution,[],[f475,f857]) ).

fof(f1290,plain,
    ( spl0_163
    | spl0_126
    | ~ spl0_51
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1283,f882,f474,f877,f1190]) ).

fof(f1283,plain,
    ( c0_1(a2082)
    | c3_1(a2082)
    | ~ spl0_51
    | ~ spl0_127 ),
    inference(resolution,[],[f475,f884]) ).

fof(f1276,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_49
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1270,f855,f465,f850,f845]) ).

fof(f465,plain,
    ( spl0_49
  <=> ! [X57] :
        ( ~ c2_1(X57)
        | c1_1(X57)
        | c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1270,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ spl0_49
    | ~ spl0_122 ),
    inference(resolution,[],[f466,f857]) ).

fof(f466,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c1_1(X57)
        | c3_1(X57) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f1266,plain,
    ( ~ spl0_127
    | spl0_126
    | ~ spl0_48
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1261,f887,f462,f877,f882]) ).

fof(f462,plain,
    ( spl0_48
  <=> ! [X58] :
        ( ~ c2_1(X58)
        | c0_1(X58)
        | ~ c1_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1261,plain,
    ( c0_1(a2082)
    | ~ c2_1(a2082)
    | ~ spl0_48
    | ~ spl0_128 ),
    inference(resolution,[],[f463,f889]) ).

fof(f463,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | c0_1(X58)
        | ~ c2_1(X58) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1258,plain,
    ( ~ spl0_139
    | ~ spl0_166
    | ~ spl0_18
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1250,f951,f325,f1254,f946]) ).

fof(f1250,plain,
    ( ~ c0_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_18
    | ~ spl0_140 ),
    inference(resolution,[],[f953,f326]) ).

fof(f1257,plain,
    ( ~ spl0_166
    | spl0_138
    | ~ spl0_25
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1249,f951,f353,f941,f1254]) ).

fof(f1249,plain,
    ( c2_1(a2074)
    | ~ c0_1(a2074)
    | ~ spl0_25
    | ~ spl0_140 ),
    inference(resolution,[],[f953,f354]) ).

fof(f1248,plain,
    ( ~ spl0_136
    | spl0_135
    | ~ spl0_46
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1242,f935,f451,f925,f930]) ).

fof(f930,plain,
    ( spl0_136
  <=> c3_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f925,plain,
    ( spl0_135
  <=> c0_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f451,plain,
    ( spl0_46
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c1_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f935,plain,
    ( spl0_137
  <=> c1_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1242,plain,
    ( c0_1(a2076)
    | ~ c3_1(a2076)
    | ~ spl0_46
    | ~ spl0_137 ),
    inference(resolution,[],[f452,f937]) ).

fof(f937,plain,
    ( c1_1(a2076)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f452,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | c0_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1221,plain,
    ( ~ spl0_85
    | spl0_84
    | ~ spl0_44
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1217,f663,f439,f653,f658]) ).

fof(f658,plain,
    ( spl0_85
  <=> c3_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f653,plain,
    ( spl0_84
  <=> c0_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f663,plain,
    ( spl0_86
  <=> c2_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1217,plain,
    ( c0_1(a2140)
    | ~ c3_1(a2140)
    | ~ spl0_44
    | ~ spl0_86 ),
    inference(resolution,[],[f440,f665]) ).

fof(f665,plain,
    ( c2_1(a2140)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f1213,plain,
    ( spl0_91
    | spl0_90
    | ~ spl0_43
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1201,f695,f435,f685,f690]) ).

fof(f690,plain,
    ( spl0_91
  <=> c2_1(a2130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f685,plain,
    ( spl0_90
  <=> c3_1(a2130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f435,plain,
    ( spl0_43
  <=> ! [X41] :
        ( c3_1(X41)
        | c1_1(X41)
        | c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f695,plain,
    ( spl0_92
  <=> c1_1(a2130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1201,plain,
    ( c3_1(a2130)
    | c2_1(a2130)
    | ~ spl0_43
    | spl0_92 ),
    inference(resolution,[],[f436,f697]) ).

fof(f697,plain,
    ( ~ c1_1(a2130)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f436,plain,
    ( ! [X41] :
        ( c1_1(X41)
        | c3_1(X41)
        | c2_1(X41) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1178,plain,
    ( ~ spl0_72
    | ~ spl0_74
    | ~ spl0_39
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1175,f594,f416,f599,f589]) ).

fof(f1175,plain,
    ( ~ c0_1(a2069)
    | ~ c3_1(a2069)
    | ~ spl0_39
    | ~ spl0_73 ),
    inference(resolution,[],[f417,f596]) ).

fof(f1177,plain,
    ( ~ spl0_156
    | ~ spl0_101
    | ~ spl0_39
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1172,f738,f416,f743,f1050]) ).

fof(f1050,plain,
    ( spl0_156
  <=> c3_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f743,plain,
    ( spl0_101
  <=> c0_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f738,plain,
    ( spl0_100
  <=> c2_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1172,plain,
    ( ~ c0_1(a2110)
    | ~ c3_1(a2110)
    | ~ spl0_39
    | ~ spl0_100 ),
    inference(resolution,[],[f417,f740]) ).

fof(f740,plain,
    ( c2_1(a2110)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f1159,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_35
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1153,f727,f398,f722,f717]) ).

fof(f717,plain,
    ( spl0_96
  <=> c3_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f722,plain,
    ( spl0_97
  <=> c2_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f727,plain,
    ( spl0_98
  <=> c1_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1153,plain,
    ( c2_1(a2116)
    | c3_1(a2116)
    | ~ spl0_35
    | ~ spl0_98 ),
    inference(resolution,[],[f399,f729]) ).

fof(f729,plain,
    ( c1_1(a2116)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1130,plain,
    ( ~ spl0_79
    | spl0_78
    | ~ spl0_28
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1128,f631,f367,f621,f626]) ).

fof(f1128,plain,
    ( c3_1(a2160)
    | ~ c2_1(a2160)
    | ~ spl0_28
    | ~ spl0_80 ),
    inference(resolution,[],[f368,f633]) ).

fof(f1122,plain,
    ( ~ spl0_157
    | ~ spl0_71
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1118,f578,f333,f583,f1059]) ).

fof(f1059,plain,
    ( spl0_157
  <=> c2_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1118,plain,
    ( ~ c0_1(a2073)
    | ~ c2_1(a2073)
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(resolution,[],[f334,f580]) ).

fof(f1120,plain,
    ( ~ spl0_158
    | ~ spl0_131
    | ~ spl0_20
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1114,f898,f333,f903,f1069]) ).

fof(f1069,plain,
    ( spl0_158
  <=> c2_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f903,plain,
    ( spl0_131
  <=> c0_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f898,plain,
    ( spl0_130
  <=> c1_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1114,plain,
    ( ~ c0_1(a2079)
    | ~ c2_1(a2079)
    | ~ spl0_20
    | ~ spl0_130 ),
    inference(resolution,[],[f334,f900]) ).

fof(f900,plain,
    ( c1_1(a2079)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f1112,plain,
    ( ~ spl0_156
    | spl0_99
    | ~ spl0_33
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1092,f743,f389,f733,f1050]) ).

fof(f733,plain,
    ( spl0_99
  <=> c1_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f389,plain,
    ( spl0_33
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1092,plain,
    ( c1_1(a2110)
    | ~ c3_1(a2110)
    | ~ spl0_33
    | ~ spl0_101 ),
    inference(resolution,[],[f390,f745]) ).

fof(f745,plain,
    ( c0_1(a2110)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f390,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f1110,plain,
    ( ~ spl0_148
    | spl0_147
    | ~ spl0_22
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1104,f999,f341,f989,f994]) ).

fof(f994,plain,
    ( spl0_148
  <=> c3_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1104,plain,
    ( c2_1(a2070)
    | ~ c3_1(a2070)
    | ~ spl0_22
    | ~ spl0_149 ),
    inference(resolution,[],[f1001,f342]) ).

fof(f1001,plain,
    ( c0_1(a2070)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1109,plain,
    ( ~ spl0_148
    | spl0_160
    | ~ spl0_33
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1103,f999,f389,f1106,f994]) ).

fof(f1103,plain,
    ( c1_1(a2070)
    | ~ c3_1(a2070)
    | ~ spl0_33
    | ~ spl0_149 ),
    inference(resolution,[],[f1001,f390]) ).

fof(f1101,plain,
    ( spl0_156
    | spl0_99
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1097,f743,f407,f733,f1050]) ).

fof(f1097,plain,
    ( c1_1(a2110)
    | c3_1(a2110)
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(resolution,[],[f408,f745]) ).

fof(f1100,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1096,f839,f407,f834,f829]) ).

fof(f829,plain,
    ( spl0_117
  <=> c3_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f834,plain,
    ( spl0_118
  <=> c1_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f839,plain,
    ( spl0_119
  <=> c0_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1096,plain,
    ( c1_1(a2093)
    | c3_1(a2093)
    | ~ spl0_37
    | ~ spl0_119 ),
    inference(resolution,[],[f408,f841]) ).

fof(f841,plain,
    ( c0_1(a2093)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f1089,plain,
    ( ~ spl0_156
    | spl0_99
    | ~ spl0_32
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1085,f738,f383,f733,f1050]) ).

fof(f1085,plain,
    ( c1_1(a2110)
    | ~ c3_1(a2110)
    | ~ spl0_32
    | ~ spl0_100 ),
    inference(resolution,[],[f384,f740]) ).

fof(f1072,plain,
    ( ~ spl0_131
    | spl0_158
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1063,f898,f353,f1069,f903]) ).

fof(f1063,plain,
    ( c2_1(a2079)
    | ~ c0_1(a2079)
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(resolution,[],[f354,f900]) ).

fof(f1062,plain,
    ( ~ spl0_69
    | spl0_157
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1057,f583,f341,f1059,f573]) ).

fof(f1057,plain,
    ( c2_1(a2073)
    | ~ c3_1(a2073)
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(resolution,[],[f342,f585]) ).

fof(f585,plain,
    ( c0_1(a2073)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1053,plain,
    ( ~ spl0_101
    | spl0_156
    | ~ spl0_24
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1047,f738,f349,f1050,f743]) ).

fof(f1047,plain,
    ( c3_1(a2110)
    | ~ c0_1(a2110)
    | ~ spl0_24
    | ~ spl0_100 ),
    inference(resolution,[],[f350,f740]) ).

fof(f1018,plain,
    ( ~ spl0_45
    | spl0_152 ),
    inference(avatar_split_clause,[],[f8,f1015,f442]) ).

fof(f442,plain,
    ( spl0_45
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f8,plain,
    ( c3_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X21] :
          ( ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c1_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X108] :
          ( ~ c2_1(X108)
          | c3_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X21] :
          ( ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c1_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X108] :
          ( ~ c2_1(X108)
          | c3_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c0_1(X2)
            | c2_1(X2) ) ) )
    & ( hskp4
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c0_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp22
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp12
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp5
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp11
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp20
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp3
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp8
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp17
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp3
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp26
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp8
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp16
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp26
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp26
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c1_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp16
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c3_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp27
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp0
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp15
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp11
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp14
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c0_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp10
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp11
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp1
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp8
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp4
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp10
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp4
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp9
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c0_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp9
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp2
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c1_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp7
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp6
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c0_1(X100)
            | c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp29
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c0_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp4
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c3_1(X108)
            | c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp27
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp0
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c2_1(X116)
            | c1_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | c2_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( hskp3
          | hskp5
          | hskp29 )
        & ( hskp18
          | hskp5
          | hskp6 )
        & ( hskp5
          | hskp24
          | hskp23 )
        & ( hskp1
          | hskp23
          | hskp17 )
        & ( hskp2
          | hskp17 )
        & ( hskp15
          | hskp23
          | hskp7 )
        & ( hskp5
          | hskp23
          | hskp27 )
        & ( hskp22
          | hskp17
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp4
          | hskp7
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp16
          | hskp7
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c0_1(X2)
                | c2_1(X2) ) ) )
        & ( hskp4
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp22
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp20
          | hskp17
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp16
          | hskp21
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp12
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp11
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp15
          | hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp20
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp3
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp10
          | hskp11
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp5
          | hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp17
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp19
          | hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp8
          | hskp1
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp3
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp26
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp18
          | hskp26
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp8
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp16
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp26
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp1
          | hskp17
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp0
          | hskp11
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp29
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp26
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp16
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp27
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp0
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp11
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp13
          | hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp10
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp11
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp1
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp8
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp7
          | hskp27
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp4
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp9
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp9
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp2
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp4
          | hskp5
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp7
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp6
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp29
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp5
          | hskp28
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c3_1(X108)
                | c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp3
          | hskp2
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp1
          | hskp26
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp0
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c2_1(X116)
                | c1_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | c2_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ( c3_1(a2077)
            & c2_1(a2077)
            & c1_1(a2077)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2073)
            & c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a2069)
            & c2_1(a2069)
            & c0_1(a2069)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2172)
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2160)
            & c2_1(a2160)
            & c1_1(a2160)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2149)
            & c3_1(a2149)
            & c0_1(a2149)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2136)
            & c1_1(a2136)
            & c0_1(a2136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2130)
            & ~ c2_1(a2130)
            & ~ c1_1(a2130)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2122)
            & ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & ~ c2_1(a2116)
            & c1_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2110)
            & c2_1(a2110)
            & c0_1(a2110)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a2104)
            & ~ c0_1(a2104)
            & c3_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2099)
            & ~ c2_1(a2099)
            & c0_1(a2099)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2097)
            & ~ c1_1(a2097)
            & ~ c0_1(a2097)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a2096)
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & c1_1(a2095)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2087)
            & ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2084)
            & c3_1(a2084)
            & c2_1(a2084)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2082)
            & c2_1(a2082)
            & c1_1(a2082)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2079)
            & c1_1(a2079)
            & c0_1(a2079)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & c0_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2076)
            & c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2074)
            & c3_1(a2074)
            & c1_1(a2074)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2072)
            & ~ c1_1(a2072)
            & ~ c0_1(a2072)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2071)
            & c2_1(a2071)
            & c0_1(a2071)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( hskp3
          | hskp5
          | hskp29 )
        & ( hskp18
          | hskp5
          | hskp6 )
        & ( hskp5
          | hskp24
          | hskp23 )
        & ( hskp1
          | hskp23
          | hskp17 )
        & ( hskp2
          | hskp17 )
        & ( hskp15
          | hskp23
          | hskp7 )
        & ( hskp5
          | hskp23
          | hskp27 )
        & ( hskp22
          | hskp17
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) ) )
        & ( hskp4
          | hskp7
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp16
          | hskp7
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c0_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp22
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp20
          | hskp17
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp16
          | hskp21
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp12
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp11
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp15
          | hskp7
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp10
          | hskp11
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp5
          | hskp26
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp17
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp19
          | hskp11
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp8
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp3
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp18
          | hskp26
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp8
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp16
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp26
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp17
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp0
          | hskp11
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp29
          | hskp27
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp26
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp16
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp27
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp0
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp11
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp13
          | hskp12
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp1
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp7
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp10
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp8
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp4
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp7
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp29
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp5
          | hskp28
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp26
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [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)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2077)
            & c2_1(a2077)
            & c1_1(a2077)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2073)
            & c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a2069)
            & c2_1(a2069)
            & c0_1(a2069)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2172)
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2160)
            & c2_1(a2160)
            & c1_1(a2160)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2149)
            & c3_1(a2149)
            & c0_1(a2149)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2136)
            & c1_1(a2136)
            & c0_1(a2136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2130)
            & ~ c2_1(a2130)
            & ~ c1_1(a2130)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2122)
            & ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & ~ c2_1(a2116)
            & c1_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2110)
            & c2_1(a2110)
            & c0_1(a2110)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a2104)
            & ~ c0_1(a2104)
            & c3_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2099)
            & ~ c2_1(a2099)
            & c0_1(a2099)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2097)
            & ~ c1_1(a2097)
            & ~ c0_1(a2097)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a2096)
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & c1_1(a2095)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2087)
            & ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2084)
            & c3_1(a2084)
            & c2_1(a2084)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2082)
            & c2_1(a2082)
            & c1_1(a2082)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2079)
            & c1_1(a2079)
            & c0_1(a2079)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & c0_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2076)
            & c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2074)
            & c3_1(a2074)
            & c1_1(a2074)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2072)
            & ~ c1_1(a2072)
            & ~ c0_1(a2072)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2071)
            & c2_1(a2071)
            & c0_1(a2071)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp18
        | hskp25
        | hskp12 )
      & ( hskp10
        | hskp12
        | hskp24 )
      & ( hskp3
        | hskp5
        | hskp29 )
      & ( hskp18
        | hskp5
        | hskp6 )
      & ( hskp5
        | hskp24
        | hskp23 )
      & ( hskp1
        | hskp23
        | hskp17 )
      & ( hskp2
        | hskp17 )
      & ( hskp15
        | hskp23
        | hskp7 )
      & ( hskp5
        | hskp23
        | hskp27 )
      & ( hskp22
        | hskp17
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) ) )
      & ( hskp4
        | hskp7
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp16
        | hskp7
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c0_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp22
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp20
        | hskp17
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp16
        | hskp21
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp12
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp5
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp11
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp15
        | hskp7
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp20
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp3
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp10
        | hskp11
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp5
        | hskp26
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp17
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp19
        | hskp11
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp8
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp3
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp26
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp18
        | hskp26
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp8
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp16
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp26
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp17
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp0
        | hskp11
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp29
        | hskp27
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp26
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp16
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp27
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp0
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | hskp28
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp15
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp11
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp13
        | hskp12
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp11
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp1
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp7
        | hskp27
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp10
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp9
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c0_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp9
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp2
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp8
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c3_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp4
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c3_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp7
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c3_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp29
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c0_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp5
        | hskp28
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c3_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp27
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp26
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [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)
              | c2_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2077)
          & c2_1(a2077)
          & c1_1(a2077)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2075)
          & c1_1(a2075)
          & c0_1(a2075)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a2073)
          & c1_1(a2073)
          & c0_1(a2073)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a2069)
          & c2_1(a2069)
          & c0_1(a2069)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a2172)
          & ~ c0_1(a2172)
          & c1_1(a2172)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a2160)
          & c2_1(a2160)
          & c1_1(a2160)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a2149)
          & c3_1(a2149)
          & c0_1(a2149)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a2140)
          & c3_1(a2140)
          & c2_1(a2140)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a2136)
          & c1_1(a2136)
          & c0_1(a2136)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a2130)
          & ~ c2_1(a2130)
          & ~ c1_1(a2130)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2122)
          & ~ c0_1(a2122)
          & c2_1(a2122)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2116)
          & ~ c2_1(a2116)
          & c1_1(a2116)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2110)
          & c2_1(a2110)
          & c0_1(a2110)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a2104)
          & ~ c0_1(a2104)
          & c3_1(a2104)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a2099)
          & ~ c2_1(a2099)
          & c0_1(a2099)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a2097)
          & ~ c1_1(a2097)
          & ~ c0_1(a2097)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a2096)
          & ~ c0_1(a2096)
          & c2_1(a2096)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a2095)
          & ~ c0_1(a2095)
          & c1_1(a2095)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a2093)
          & ~ c1_1(a2093)
          & c0_1(a2093)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2087)
          & ~ c1_1(a2087)
          & c2_1(a2087)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2084)
          & c3_1(a2084)
          & c2_1(a2084)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a2082)
          & c2_1(a2082)
          & c1_1(a2082)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a2079)
          & c1_1(a2079)
          & c0_1(a2079)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a2078)
          & ~ c1_1(a2078)
          & c0_1(a2078)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a2076)
          & c3_1(a2076)
          & c1_1(a2076)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a2074)
          & c3_1(a2074)
          & c1_1(a2074)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2072)
          & ~ c1_1(a2072)
          & ~ c0_1(a2072)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2071)
          & c2_1(a2071)
          & c0_1(a2071)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2070)
          & c3_1(a2070)
          & c0_1(a2070)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2068)
          & ~ c0_1(a2068)
          & c3_1(a2068)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.7eHXfCvLTv/Vampire---4.8_14333',co1) ).

fof(f1013,plain,
    ( ~ spl0_45
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f9,f1010,f442]) ).

fof(f9,plain,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_45
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f10,f1005,f442]) ).

fof(f10,plain,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_12
    | spl0_149 ),
    inference(avatar_split_clause,[],[f12,f999,f297]) ).

fof(f297,plain,
    ( spl0_12
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f12,plain,
    ( c0_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_12
    | spl0_148 ),
    inference(avatar_split_clause,[],[f13,f994,f297]) ).

fof(f13,plain,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( ~ spl0_12
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f14,f989,f297]) ).

fof(f14,plain,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f987,plain,
    ( ~ spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f15,f321,f302]) ).

fof(f302,plain,
    ( spl0_13
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f321,plain,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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

fof(f986,plain,
    ( ~ spl0_13
    | spl0_146 ),
    inference(avatar_split_clause,[],[f16,f983,f302]) ).

fof(f16,plain,
    ( c0_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f981,plain,
    ( ~ spl0_13
    | spl0_145 ),
    inference(avatar_split_clause,[],[f17,f978,f302]) ).

fof(f17,plain,
    ( c2_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_13
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f18,f973,f302]) ).

fof(f18,plain,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_8
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f20,f967,f278]) ).

fof(f278,plain,
    ( spl0_8
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f20,plain,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f960,plain,
    ( ~ spl0_8
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f22,f957,f278]) ).

fof(f22,plain,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_21
    | spl0_140 ),
    inference(avatar_split_clause,[],[f24,f951,f336]) ).

fof(f336,plain,
    ( spl0_21
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f24,plain,
    ( c1_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_21
    | spl0_139 ),
    inference(avatar_split_clause,[],[f25,f946,f336]) ).

fof(f25,plain,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_21
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f26,f941,f336]) ).

fof(f26,plain,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_7
    | spl0_137 ),
    inference(avatar_split_clause,[],[f28,f935,f274]) ).

fof(f274,plain,
    ( spl0_7
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f28,plain,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_7
    | spl0_136 ),
    inference(avatar_split_clause,[],[f29,f930,f274]) ).

fof(f29,plain,
    ( c3_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_7
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f30,f925,f274]) ).

fof(f30,plain,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_14
    | spl0_131 ),
    inference(avatar_split_clause,[],[f36,f903,f307]) ).

fof(f307,plain,
    ( spl0_14
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f36,plain,
    ( c0_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_14
    | spl0_130 ),
    inference(avatar_split_clause,[],[f37,f898,f307]) ).

fof(f37,plain,
    ( c1_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_36
    | spl0_128 ),
    inference(avatar_split_clause,[],[f40,f887,f401]) ).

fof(f401,plain,
    ( spl0_36
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f40,plain,
    ( c1_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_36
    | spl0_127 ),
    inference(avatar_split_clause,[],[f41,f882,f401]) ).

fof(f41,plain,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_36
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f42,f877,f401]) ).

fof(f42,plain,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_56
    | spl0_125 ),
    inference(avatar_split_clause,[],[f44,f871,f501]) ).

fof(f501,plain,
    ( spl0_56
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f44,plain,
    ( c2_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_56
    | spl0_124 ),
    inference(avatar_split_clause,[],[f45,f866,f501]) ).

fof(f45,plain,
    ( c3_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_56
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f46,f861,f501]) ).

fof(f46,plain,
    ( ~ c1_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_5
    | spl0_122 ),
    inference(avatar_split_clause,[],[f48,f855,f265]) ).

fof(f265,plain,
    ( spl0_5
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f48,plain,
    ( c2_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_5
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f49,f850,f265]) ).

fof(f49,plain,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_5
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f50,f845,f265]) ).

fof(f50,plain,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_31
    | spl0_119 ),
    inference(avatar_split_clause,[],[f52,f839,f378]) ).

fof(f378,plain,
    ( spl0_31
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f52,plain,
    ( c0_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_31
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f53,f834,f378]) ).

fof(f53,plain,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_31
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f54,f829,f378]) ).

fof(f54,plain,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_1
    | spl0_116 ),
    inference(avatar_split_clause,[],[f56,f823,f248]) ).

fof(f248,plain,
    ( spl0_1
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f56,plain,
    ( c1_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_1
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f57,f818,f248]) ).

fof(f57,plain,
    ( ~ c0_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_1
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f58,f813,f248]) ).

fof(f58,plain,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl0_11
    | spl0_17 ),
    inference(avatar_split_clause,[],[f75,f321,f293]) ).

fof(f293,plain,
    ( spl0_11
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f75,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_11
    | spl0_101 ),
    inference(avatar_split_clause,[],[f76,f743,f293]) ).

fof(f76,plain,
    ( c0_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_11
    | spl0_100 ),
    inference(avatar_split_clause,[],[f77,f738,f293]) ).

fof(f77,plain,
    ( c2_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f78,f733,f293]) ).

fof(f78,plain,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_3
    | spl0_98 ),
    inference(avatar_split_clause,[],[f80,f727,f256]) ).

fof(f256,plain,
    ( spl0_3
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f80,plain,
    ( c1_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_3
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f81,f722,f256]) ).

fof(f81,plain,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_3
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f82,f717,f256]) ).

fof(f82,plain,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_26
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f88,f695,f357]) ).

fof(f357,plain,
    ( spl0_26
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f88,plain,
    ( ~ c1_1(a2130)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( ~ spl0_26
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f89,f690,f357]) ).

fof(f89,plain,
    ( ~ c2_1(a2130)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f688,plain,
    ( ~ spl0_26
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f90,f685,f357]) ).

fof(f90,plain,
    ( ~ c3_1(a2130)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_19
    | spl0_86 ),
    inference(avatar_split_clause,[],[f96,f663,f328]) ).

fof(f328,plain,
    ( spl0_19
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f96,plain,
    ( c2_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_19
    | spl0_85 ),
    inference(avatar_split_clause,[],[f97,f658,f328]) ).

fof(f97,plain,
    ( c3_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_19
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f98,f653,f328]) ).

fof(f98,plain,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_10
    | spl0_83 ),
    inference(avatar_split_clause,[],[f100,f647,f288]) ).

fof(f288,plain,
    ( spl0_10
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f100,plain,
    ( c0_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_10
    | spl0_82 ),
    inference(avatar_split_clause,[],[f101,f642,f288]) ).

fof(f101,plain,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( ~ spl0_10
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f102,f637,f288]) ).

fof(f102,plain,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_4
    | spl0_80 ),
    inference(avatar_split_clause,[],[f104,f631,f261]) ).

fof(f261,plain,
    ( spl0_4
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f104,plain,
    ( c1_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f629,plain,
    ( ~ spl0_4
    | spl0_79 ),
    inference(avatar_split_clause,[],[f105,f626,f261]) ).

fof(f105,plain,
    ( c2_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f624,plain,
    ( ~ spl0_4
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f106,f621,f261]) ).

fof(f106,plain,
    ( ~ c3_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_2
    | spl0_77 ),
    inference(avatar_split_clause,[],[f108,f615,f252]) ).

fof(f252,plain,
    ( spl0_2
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f108,plain,
    ( c1_1(a2172)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_2
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f109,f610,f252]) ).

fof(f109,plain,
    ( ~ c0_1(a2172)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_2
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f110,f605,f252]) ).

fof(f110,plain,
    ( ~ c3_1(a2172)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_34
    | spl0_74 ),
    inference(avatar_split_clause,[],[f112,f599,f393]) ).

fof(f393,plain,
    ( spl0_34
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f112,plain,
    ( c0_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_34
    | spl0_73 ),
    inference(avatar_split_clause,[],[f113,f594,f393]) ).

fof(f113,plain,
    ( c2_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_34
    | spl0_72 ),
    inference(avatar_split_clause,[],[f114,f589,f393]) ).

fof(f114,plain,
    ( c3_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_16
    | spl0_71 ),
    inference(avatar_split_clause,[],[f116,f583,f316]) ).

fof(f316,plain,
    ( spl0_16
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f116,plain,
    ( c0_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f117,f578,f316]) ).

fof(f117,plain,
    ( c1_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f118,f573,f316]) ).

fof(f118,plain,
    ( c3_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_47
    | spl0_68 ),
    inference(avatar_split_clause,[],[f120,f567,f455]) ).

fof(f455,plain,
    ( spl0_47
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f120,plain,
    ( c0_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_47
    | spl0_67 ),
    inference(avatar_split_clause,[],[f121,f562,f455]) ).

fof(f121,plain,
    ( c1_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( ~ spl0_47
    | spl0_66 ),
    inference(avatar_split_clause,[],[f122,f557,f455]) ).

fof(f122,plain,
    ( c2_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_57
    | spl0_49
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f212,f371,f321,f465,f509]) ).

fof(f212,plain,
    ! [X94,X92,X93] :
      ( ~ c3_1(X92)
      | ~ c1_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | c3_1(X93)
      | c1_1(X93)
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X94,X92,X93] :
      ( ~ c3_1(X92)
      | ~ c1_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | c3_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_55
    | ~ spl0_17
    | spl0_49
    | spl0_36 ),
    inference(avatar_split_clause,[],[f213,f401,f465,f321,f498]) ).

fof(f213,plain,
    ! [X90,X89] :
      ( hskp8
      | ~ c2_1(X89)
      | c3_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X90,X89] :
      ( hskp8
      | ~ c2_1(X89)
      | c3_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( spl0_55
    | ~ spl0_17
    | spl0_33
    | spl0_13 ),
    inference(avatar_split_clause,[],[f214,f302,f389,f321,f498]) ).

fof(f214,plain,
    ! [X88,X87] :
      ( hskp2
      | ~ c3_1(X87)
      | ~ c0_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c2_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X88,X87] :
      ( hskp2
      | ~ c3_1(X87)
      | ~ c0_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c2_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( spl0_55
    | ~ spl0_17
    | spl0_25
    | spl0_56 ),
    inference(avatar_split_clause,[],[f215,f501,f353,f321,f498]) ).

fof(f215,plain,
    ! [X86,X85] :
      ( hskp9
      | ~ c1_1(X85)
      | ~ c0_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c2_1(X86)
      | c0_1(X86) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X86,X85] :
      ( hskp9
      | ~ c1_1(X85)
      | ~ c0_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_55
    | ~ spl0_17
    | spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f216,f501,f341,f321,f498]) ).

fof(f216,plain,
    ! [X83,X84] :
      ( hskp9
      | ~ c3_1(X83)
      | ~ c0_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X83,X84] :
      ( hskp9
      | ~ c3_1(X83)
      | ~ c0_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_54
    | ~ spl0_17
    | spl0_39
    | spl0_5 ),
    inference(avatar_split_clause,[],[f219,f265,f416,f321,f491]) ).

fof(f219,plain,
    ! [X76,X77] :
      ( hskp10
      | ~ c3_1(X76)
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X76,X77] :
      ( hskp10
      | ~ c3_1(X76)
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( ~ spl0_17
    | spl0_54
    | spl0_16
    | spl0_14 ),
    inference(avatar_split_clause,[],[f148,f307,f316,f491,f321]) ).

fof(f148,plain,
    ! [X75] :
      ( hskp7
      | hskp27
      | ~ c3_1(X75)
      | c2_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_53
    | ~ spl0_17
    | spl0_39
    | spl0_21 ),
    inference(avatar_split_clause,[],[f220,f336,f416,f321,f486]) ).

fof(f220,plain,
    ! [X73,X74] :
      ( hskp4
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c3_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X73,X74] :
      ( hskp4
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_51
    | ~ spl0_17
    | spl0_48
    | spl0_12 ),
    inference(avatar_split_clause,[],[f222,f297,f462,f321,f474]) ).

fof(f222,plain,
    ! [X70,X69] :
      ( hskp1
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c3_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X70,X69] :
      ( hskp1
      | ~ c2_1(X69)
      | ~ c1_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c3_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_51
    | spl0_22
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f225,f371,f321,f341,f474]) ).

fof(f225,plain,
    ! [X62,X63,X64] :
      ( ~ c3_1(X62)
      | ~ c1_1(X62)
      | c2_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ c2_1(X64)
      | c3_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X62,X63,X64] :
      ( ~ c3_1(X62)
      | ~ c1_1(X62)
      | c2_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | c3_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( spl0_48
    | ~ spl0_17
    | spl0_49
    | spl0_31 ),
    inference(avatar_split_clause,[],[f227,f378,f465,f321,f462]) ).

fof(f227,plain,
    ! [X58,X57] :
      ( hskp11
      | ~ c2_1(X57)
      | c3_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X58,X57] :
      ( hskp11
      | ~ c2_1(X57)
      | c3_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_17
    | spl0_46
    | spl0_47
    | spl0_21 ),
    inference(avatar_split_clause,[],[f160,f336,f455,f451,f321]) ).

fof(f160,plain,
    ! [X51] :
      ( hskp4
      | hskp28
      | ~ c3_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_44
    | ~ spl0_17
    | spl0_32
    | spl0_16 ),
    inference(avatar_split_clause,[],[f230,f316,f383,f321,f439]) ).

fof(f230,plain,
    ! [X48,X49] :
      ( hskp27
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X48,X49] :
      ( hskp27
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( spl0_44
    | ~ spl0_17
    | spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f232,f393,f333,f321,f439]) ).

fof(f232,plain,
    ! [X44,X45] :
      ( hskp26
      | ~ c2_1(X44)
      | ~ c1_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c0_1(X45) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X44,X45] :
      ( hskp26
      | ~ c2_1(X44)
      | ~ c1_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( ~ spl0_17
    | spl0_44
    | spl0_31
    | spl0_45 ),
    inference(avatar_split_clause,[],[f166,f442,f378,f439,f321]) ).

fof(f166,plain,
    ! [X42] :
      ( hskp0
      | hskp11
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_17
    | spl0_43
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f167,f297,f293,f435,f321]) ).

fof(f167,plain,
    ! [X41] :
      ( hskp1
      | hskp17
      | c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( spl0_37
    | ~ spl0_17
    | spl0_32
    | spl0_34 ),
    inference(avatar_split_clause,[],[f236,f393,f383,f321,f407]) ).

fof(f236,plain,
    ! [X32,X33] :
      ( hskp26
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X32,X33] :
      ( hskp26
      | ~ c3_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_37
    | ~ spl0_17
    | spl0_29
    | spl0_8 ),
    inference(avatar_split_clause,[],[f237,f278,f371,f321,f407]) ).

fof(f237,plain,
    ! [X31,X30] :
      ( hskp3
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X31,X30] :
      ( hskp3
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( spl0_37
    | spl0_18
    | ~ spl0_17
    | spl0_39 ),
    inference(avatar_split_clause,[],[f238,f416,f321,f325,f407]) ).

fof(f238,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c3_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( ~ spl0_17
    | spl0_37
    | spl0_12
    | spl0_36 ),
    inference(avatar_split_clause,[],[f175,f401,f297,f407,f321]) ).

fof(f175,plain,
    ! [X26] :
      ( hskp8
      | hskp1
      | ~ c0_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_33
    | ~ spl0_17
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f240,f401,f398,f321,f389]) ).

fof(f240,plain,
    ! [X21,X22] :
      ( hskp8
      | ~ c1_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X21,X22] :
      ( hskp8
      | ~ c1_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_31
    | spl0_5 ),
    inference(avatar_split_clause,[],[f180,f265,f378,f389,f321]) ).

fof(f180,plain,
    ! [X19] :
      ( hskp10
      | hskp11
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_32
    | ~ spl0_17
    | spl0_20
    | spl0_26 ),
    inference(avatar_split_clause,[],[f242,f357,f333,f321,f383]) ).

fof(f242,plain,
    ! [X16,X15] :
      ( hskp20
      | ~ c2_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | c1_1(X16) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X16,X15] :
      ( hskp20
      | ~ c2_1(X15)
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( spl0_25
    | ~ spl0_17
    | spl0_28
    | spl0_1 ),
    inference(avatar_split_clause,[],[f245,f248,f367,f321,f353]) ).

fof(f245,plain,
    ! [X8,X9] :
      ( hskp12
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X8,X9] :
      ( hskp12
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( ~ spl0_17
    | spl0_25
    | spl0_19 ),
    inference(avatar_split_clause,[],[f189,f328,f353,f321]) ).

fof(f189,plain,
    ! [X5] :
      ( hskp22
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f351,plain,
    ( spl0_22
    | ~ spl0_17
    | spl0_24
    | spl0_21 ),
    inference(avatar_split_clause,[],[f246,f336,f349,f321,f341]) ).

fof(f246,plain,
    ! [X3,X4] :
      ( hskp4
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X4)
      | ~ c0_1(X4)
      | c2_1(X4) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X3,X4] :
      ( hskp4
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X4)
      | ~ c0_1(X4)
      | c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f305,plain,
    ( spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f196,f302,f293]) ).

fof(f196,plain,
    ( hskp2
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_11
    | spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f197,f297,f288,f293]) ).

fof(f197,plain,
    ( hskp1
    | hskp23
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( spl0_10
    | spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f198,f274,f261,f288]) ).

fof(f198,plain,
    ( hskp5
    | hskp24
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f268,plain,
    ( spl0_4
    | spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f201,f265,f248,f261]) ).

fof(f201,plain,
    ( hskp10
    | hskp12
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f259,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f202,f256,f252,f248]) ).

fof(f202,plain,
    ( hskp18
    | hskp25
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:43:48 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.7eHXfCvLTv/Vampire---4.8_14333
% 0.54/0.76  % (14683)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.76  % (14675)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.76  % (14679)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76  % (14677)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.76  % (14680)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.76  % (14678)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (14681)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.76  % (14682)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.78  % (14679)Instruction limit reached!
% 0.60/0.78  % (14679)------------------------------
% 0.60/0.78  % (14679)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (14679)Termination reason: Unknown
% 0.60/0.78  % (14679)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (14679)Memory used [KB]: 2235
% 0.60/0.78  % (14679)Time elapsed: 0.020 s
% 0.60/0.78  % (14679)Instructions burned: 33 (million)
% 0.60/0.78  % (14679)------------------------------
% 0.60/0.78  % (14679)------------------------------
% 0.60/0.78  % (14683)Instruction limit reached!
% 0.60/0.78  % (14683)------------------------------
% 0.60/0.78  % (14683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (14683)Termination reason: Unknown
% 0.60/0.78  % (14683)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (14683)Memory used [KB]: 2368
% 0.60/0.78  % (14683)Time elapsed: 0.021 s
% 0.60/0.78  % (14683)Instructions burned: 56 (million)
% 0.60/0.78  % (14683)------------------------------
% 0.60/0.78  % (14683)------------------------------
% 0.60/0.78  % (14680)Instruction limit reached!
% 0.60/0.78  % (14680)------------------------------
% 0.60/0.78  % (14680)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (14680)Termination reason: Unknown
% 0.60/0.78  % (14680)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (14680)Memory used [KB]: 2103
% 0.60/0.78  % (14680)Time elapsed: 0.021 s
% 0.60/0.78  % (14680)Instructions burned: 34 (million)
% 0.60/0.78  % (14680)------------------------------
% 0.60/0.78  % (14680)------------------------------
% 0.60/0.78  % (14675)Instruction limit reached!
% 0.60/0.78  % (14675)------------------------------
% 0.60/0.78  % (14675)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (14675)Termination reason: Unknown
% 0.60/0.78  % (14675)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (14675)Memory used [KB]: 2074
% 0.60/0.78  % (14675)Time elapsed: 0.022 s
% 0.60/0.78  % (14675)Instructions burned: 35 (million)
% 0.60/0.78  % (14675)------------------------------
% 0.60/0.78  % (14675)------------------------------
% 0.60/0.78  % (14677)First to succeed.
% 0.60/0.78  % (14703)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.78  % (14702)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.78  % (14704)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.78  % (14706)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.78  % (14681)Instruction limit reached!
% 0.60/0.78  % (14681)------------------------------
% 0.60/0.78  % (14681)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (14681)Termination reason: Unknown
% 0.60/0.78  % (14681)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (14681)Memory used [KB]: 2285
% 0.60/0.78  % (14681)Time elapsed: 0.028 s
% 0.60/0.78  % (14681)Instructions burned: 46 (million)
% 0.60/0.78  % (14681)------------------------------
% 0.60/0.78  % (14681)------------------------------
% 0.60/0.79  % (14709)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.79  % (14677)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (14677)------------------------------
% 0.60/0.80  % (14677)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (14677)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (14677)Memory used [KB]: 1898
% 0.60/0.80  % (14677)Time elapsed: 0.033 s
% 0.60/0.80  % (14677)Instructions burned: 59 (million)
% 0.60/0.80  % (14677)------------------------------
% 0.60/0.80  % (14677)------------------------------
% 0.60/0.80  % (14584)Success in time 0.424 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------