TSTP Solution File: SYN499+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN499+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n016.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 Aug 31 19:27:19 EDT 2022

% Result   : Theorem 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  103
% Syntax   : Number of formulae    :  433 (   1 unt;   0 def)
%            Number of atoms       : 6893 (   0 equ)
%            Maximal formula atoms :  775 (  15 avg)
%            Number of connectives : 9439 (2979   ~;4429   |;1421   &)
%                                         ( 102 <=>; 508  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  120 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  139 ( 138 usr; 135 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1024 (1024   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2433,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f283,f297,f305,f315,f324,f350,f355,f360,f383,f387,f403,f412,f416,f420,f425,f430,f439,f444,f455,f464,f469,f504,f508,f518,f562,f590,f619,f624,f640,f645,f662,f676,f681,f682,f693,f703,f707,f712,f714,f747,f757,f768,f769,f770,f782,f787,f792,f796,f806,f812,f824,f830,f843,f860,f870,f871,f879,f884,f890,f891,f898,f903,f919,f925,f930,f938,f945,f951,f956,f960,f966,f972,f978,f983,f993,f999,f1009,f1010,f1015,f1016,f1026,f1027,f1033,f1034,f1039,f1044,f1123,f1150,f1165,f1170,f1194,f1284,f1346,f1387,f1539,f1560,f1561,f1595,f1618,f1653,f1661,f1696,f1702,f1704,f1740,f1754,f1788,f1812,f1845,f1902,f1912,f1913,f1967,f2009,f2030,f2040,f2090,f2096,f2130,f2148,f2225,f2243,f2271,f2315,f2329,f2383,f2385,f2424,f2426]) ).

fof(f2426,plain,
    ( spl0_83
    | spl0_70
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2403,f881,f437,f555,f621]) ).

fof(f621,plain,
    ( spl0_83
  <=> c1_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f555,plain,
    ( spl0_70
  <=> c0_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f437,plain,
    ( spl0_44
  <=> ! [X82] :
        ( c0_1(X82)
        | c1_1(X82)
        | ~ c2_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f881,plain,
    ( spl0_129
  <=> c2_1(a123) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2403,plain,
    ( c0_1(a123)
    | c1_1(a123)
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(resolution,[],[f438,f883]) ).

fof(f883,plain,
    ( c2_1(a123)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f438,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | c1_1(X82)
        | c0_1(X82) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f2424,plain,
    ( spl0_158
    | spl0_143
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f2407,f466,f437,f969,f1059]) ).

fof(f1059,plain,
    ( spl0_158
  <=> c0_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f969,plain,
    ( spl0_143
  <=> c1_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f466,plain,
    ( spl0_50
  <=> c2_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2407,plain,
    ( c1_1(a143)
    | c0_1(a143)
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(resolution,[],[f438,f468]) ).

fof(f468,plain,
    ( c2_1(a143)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f2385,plain,
    ( ~ spl0_50
    | spl0_143
    | ~ spl0_115
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2372,f1059,f804,f969,f466]) ).

fof(f804,plain,
    ( spl0_115
  <=> ! [X124] :
        ( ~ c2_1(X124)
        | ~ c0_1(X124)
        | c1_1(X124) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2372,plain,
    ( c1_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_115
    | ~ spl0_158 ),
    inference(resolution,[],[f805,f1061]) ).

fof(f1061,plain,
    ( c0_1(a143)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f805,plain,
    ( ! [X124] :
        ( ~ c0_1(X124)
        | c1_1(X124)
        | ~ c2_1(X124) )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f2383,plain,
    ( ~ spl0_176
    | spl0_137
    | ~ spl0_113
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2371,f804,f789,f927,f1411]) ).

fof(f1411,plain,
    ( spl0_176
  <=> c2_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f927,plain,
    ( spl0_137
  <=> c1_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f789,plain,
    ( spl0_113
  <=> c0_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2371,plain,
    ( c1_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_113
    | ~ spl0_115 ),
    inference(resolution,[],[f805,f791]) ).

fof(f791,plain,
    ( c0_1(a142)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f2329,plain,
    ( spl0_150
    | spl0_41
    | ~ spl0_4
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2328,f2027,f262,f422,f1006]) ).

fof(f1006,plain,
    ( spl0_150
  <=> c1_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f422,plain,
    ( spl0_41
  <=> c2_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f262,plain,
    ( spl0_4
  <=> ! [X89] :
        ( ~ c0_1(X89)
        | c2_1(X89)
        | c1_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2027,plain,
    ( spl0_183
  <=> c0_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2328,plain,
    ( c2_1(a141)
    | c1_1(a141)
    | ~ spl0_4
    | ~ spl0_183 ),
    inference(resolution,[],[f2029,f263]) ).

fof(f263,plain,
    ( ! [X89] :
        ( ~ c0_1(X89)
        | c1_1(X89)
        | c2_1(X89) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f2029,plain,
    ( c0_1(a141)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f2027]) ).

fof(f2315,plain,
    ( spl0_61
    | spl0_49
    | ~ spl0_4
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2314,f1666,f262,f461,f515]) ).

fof(f515,plain,
    ( spl0_61
  <=> c1_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f461,plain,
    ( spl0_49
  <=> c2_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1666,plain,
    ( spl0_180
  <=> c0_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f2314,plain,
    ( c2_1(a160)
    | c1_1(a160)
    | ~ spl0_4
    | ~ spl0_180 ),
    inference(resolution,[],[f1668,f263]) ).

fof(f1668,plain,
    ( c0_1(a160)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1666]) ).

fof(f2271,plain,
    ( spl0_176
    | spl0_137
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2251,f789,f262,f927,f1411]) ).

fof(f2251,plain,
    ( c1_1(a142)
    | c2_1(a142)
    | ~ spl0_4
    | ~ spl0_113 ),
    inference(resolution,[],[f263,f791]) ).

fof(f2243,plain,
    ( spl0_127
    | spl0_132
    | ~ spl0_74
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2242,f1036,f573,f900,f867]) ).

fof(f867,plain,
    ( spl0_127
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f900,plain,
    ( spl0_132
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f573,plain,
    ( spl0_74
  <=> ! [X90] :
        ( ~ c2_1(X90)
        | c0_1(X90)
        | c3_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1036,plain,
    ( spl0_155
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2242,plain,
    ( c3_1(a134)
    | c0_1(a134)
    | ~ spl0_74
    | ~ spl0_155 ),
    inference(resolution,[],[f1038,f574]) ).

fof(f574,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | c3_1(X90)
        | c0_1(X90) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f1038,plain,
    ( c2_1(a134)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f2225,plain,
    ( spl0_153
    | ~ spl0_46
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2203,f827,f705,f448,f1023]) ).

fof(f1023,plain,
    ( spl0_153
  <=> c0_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f448,plain,
    ( spl0_46
  <=> c2_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f705,plain,
    ( spl0_98
  <=> ! [X66] :
        ( ~ c3_1(X66)
        | ~ c2_1(X66)
        | c0_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f827,plain,
    ( spl0_119
  <=> c3_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2203,plain,
    ( ~ c2_1(a153)
    | c0_1(a153)
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(resolution,[],[f706,f829]) ).

fof(f829,plain,
    ( c3_1(a153)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f706,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | ~ c2_1(X66)
        | c0_1(X66) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f2148,plain,
    ( ~ spl0_46
    | spl0_153
    | ~ spl0_80
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2137,f1049,f605,f1023,f448]) ).

fof(f605,plain,
    ( spl0_80
  <=> ! [X115] :
        ( ~ c1_1(X115)
        | ~ c2_1(X115)
        | c0_1(X115) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1049,plain,
    ( spl0_157
  <=> c1_1(a153) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2137,plain,
    ( c0_1(a153)
    | ~ c2_1(a153)
    | ~ spl0_80
    | ~ spl0_157 ),
    inference(resolution,[],[f606,f1050]) ).

fof(f1050,plain,
    ( c1_1(a153)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f606,plain,
    ( ! [X115] :
        ( ~ c1_1(X115)
        | ~ c2_1(X115)
        | c0_1(X115) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f2130,plain,
    ( spl0_36
    | spl0_168
    | ~ spl0_73
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2101,f935,f570,f1196,f400]) ).

fof(f400,plain,
    ( spl0_36
  <=> c2_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1196,plain,
    ( spl0_168
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f570,plain,
    ( spl0_73
  <=> ! [X91] :
        ( c2_1(X91)
        | c1_1(X91)
        | ~ c3_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f935,plain,
    ( spl0_138
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2101,plain,
    ( c1_1(a132)
    | c2_1(a132)
    | ~ spl0_73
    | ~ spl0_138 ),
    inference(resolution,[],[f571,f937]) ).

fof(f937,plain,
    ( c3_1(a132)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f571,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | c2_1(X91) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f2096,plain,
    ( ~ spl0_176
    | spl0_137
    | ~ spl0_79
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2069,f1012,f601,f927,f1411]) ).

fof(f601,plain,
    ( spl0_79
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | ~ c2_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1012,plain,
    ( spl0_151
  <=> c3_1(a142) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2069,plain,
    ( c1_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_79
    | ~ spl0_151 ),
    inference(resolution,[],[f602,f1014]) ).

fof(f1014,plain,
    ( c3_1(a142)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f602,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | ~ c2_1(X70)
        | c1_1(X70) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f2090,plain,
    ( ~ spl0_50
    | spl0_143
    | ~ spl0_79
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2070,f616,f601,f969,f466]) ).

fof(f616,plain,
    ( spl0_82
  <=> c3_1(a143) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2070,plain,
    ( c1_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_79
    | ~ spl0_82 ),
    inference(resolution,[],[f602,f618]) ).

fof(f618,plain,
    ( c3_1(a143)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f2040,plain,
    ( spl0_141
    | spl0_106
    | ~ spl0_59
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2022,f980,f506,f744,f953]) ).

fof(f953,plain,
    ( spl0_141
  <=> c2_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f744,plain,
    ( spl0_106
  <=> c0_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f506,plain,
    ( spl0_59
  <=> ! [X56] :
        ( c0_1(X56)
        | c3_1(X56)
        | c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f980,plain,
    ( spl0_145
  <=> c3_1(a182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2022,plain,
    ( c0_1(a182)
    | c2_1(a182)
    | ~ spl0_59
    | spl0_145 ),
    inference(resolution,[],[f507,f982]) ).

fof(f982,plain,
    ( ~ c3_1(a182)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f507,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | c2_1(X56)
        | c0_1(X56) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f2030,plain,
    ( spl0_41
    | spl0_183
    | spl0_30
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f2017,f506,f376,f2027,f422]) ).

fof(f376,plain,
    ( spl0_30
  <=> c3_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2017,plain,
    ( c0_1(a141)
    | c2_1(a141)
    | spl0_30
    | ~ spl0_59 ),
    inference(resolution,[],[f507,f378]) ).

fof(f378,plain,
    ( ~ c3_1(a141)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f2009,plain,
    ( spl0_176
    | ~ spl0_113
    | ~ spl0_40
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2008,f1012,f418,f789,f1411]) ).

fof(f418,plain,
    ( spl0_40
  <=> ! [X87] :
        ( ~ c3_1(X87)
        | c2_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2008,plain,
    ( ~ c0_1(a142)
    | c2_1(a142)
    | ~ spl0_40
    | ~ spl0_151 ),
    inference(resolution,[],[f1014,f419]) ).

fof(f419,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | c2_1(X87)
        | ~ c0_1(X87) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f1967,plain,
    ( spl0_97
    | ~ spl0_164
    | ~ spl0_40
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1955,f922,f418,f1154,f700]) ).

fof(f700,plain,
    ( spl0_97
  <=> c2_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1154,plain,
    ( spl0_164
  <=> c0_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f922,plain,
    ( spl0_136
  <=> c3_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1955,plain,
    ( ~ c0_1(a164)
    | c2_1(a164)
    | ~ spl0_40
    | ~ spl0_136 ),
    inference(resolution,[],[f419,f924]) ).

fof(f924,plain,
    ( c3_1(a164)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f1913,plain,
    ( spl0_112
    | spl0_87
    | ~ spl0_14
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1892,f975,f307,f642,f784]) ).

fof(f784,plain,
    ( spl0_112
  <=> c2_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f642,plain,
    ( spl0_87
  <=> c0_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f307,plain,
    ( spl0_14
  <=> ! [X77] :
        ( c2_1(X77)
        | c0_1(X77)
        | ~ c1_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f975,plain,
    ( spl0_144
  <=> c1_1(a155) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1892,plain,
    ( c0_1(a155)
    | c2_1(a155)
    | ~ spl0_14
    | ~ spl0_144 ),
    inference(resolution,[],[f308,f977]) ).

fof(f977,plain,
    ( c1_1(a155)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f308,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | c2_1(X77)
        | c0_1(X77) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f1912,plain,
    ( spl0_25
    | spl0_36
    | ~ spl0_14
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1888,f1196,f307,f400,f352]) ).

fof(f352,plain,
    ( spl0_25
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1888,plain,
    ( c2_1(a132)
    | c0_1(a132)
    | ~ spl0_14
    | ~ spl0_168 ),
    inference(resolution,[],[f308,f1197]) ).

fof(f1197,plain,
    ( c1_1(a132)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1902,plain,
    ( spl0_97
    | spl0_164
    | ~ spl0_14
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1894,f587,f307,f1154,f700]) ).

fof(f587,plain,
    ( spl0_77
  <=> c1_1(a164) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1894,plain,
    ( c0_1(a164)
    | c2_1(a164)
    | ~ spl0_14
    | ~ spl0_77 ),
    inference(resolution,[],[f308,f589]) ).

fof(f589,plain,
    ( c1_1(a164)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f1845,plain,
    ( spl0_143
    | spl0_158
    | ~ spl0_15
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1843,f616,f310,f1059,f969]) ).

fof(f310,plain,
    ( spl0_15
  <=> ! [X79] :
        ( c0_1(X79)
        | c1_1(X79)
        | ~ c3_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1843,plain,
    ( c0_1(a143)
    | c1_1(a143)
    | ~ spl0_15
    | ~ spl0_82 ),
    inference(resolution,[],[f618,f311]) ).

fof(f311,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | c0_1(X79)
        | c1_1(X79) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1812,plain,
    ( spl0_49
    | spl0_61
    | ~ spl0_73
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1798,f779,f570,f515,f461]) ).

fof(f779,plain,
    ( spl0_111
  <=> c3_1(a160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1798,plain,
    ( c1_1(a160)
    | c2_1(a160)
    | ~ spl0_73
    | ~ spl0_111 ),
    inference(resolution,[],[f571,f781]) ).

fof(f781,plain,
    ( c3_1(a160)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f1788,plain,
    ( ~ spl0_164
    | ~ spl0_77
    | ~ spl0_69
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1773,f922,f551,f587,f1154]) ).

fof(f551,plain,
    ( spl0_69
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | ~ c1_1(X14)
        | ~ c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1773,plain,
    ( ~ c1_1(a164)
    | ~ c0_1(a164)
    | ~ spl0_69
    | ~ spl0_136 ),
    inference(resolution,[],[f552,f924]) ).

fof(f552,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | ~ c1_1(X14)
        | ~ c0_1(X14) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f1754,plain,
    ( spl0_164
    | spl0_97
    | ~ spl0_34
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1752,f922,f393,f700,f1154]) ).

fof(f393,plain,
    ( spl0_34
  <=> ! [X41] :
        ( c2_1(X41)
        | ~ c3_1(X41)
        | c0_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1752,plain,
    ( c2_1(a164)
    | c0_1(a164)
    | ~ spl0_34
    | ~ spl0_136 ),
    inference(resolution,[],[f924,f394]) ).

fof(f394,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c2_1(X41)
        | c0_1(X41) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1740,plain,
    ( spl0_143
    | ~ spl0_158
    | ~ spl0_67
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1719,f616,f542,f1059,f969]) ).

fof(f542,plain,
    ( spl0_67
  <=> ! [X99] :
        ( ~ c3_1(X99)
        | c1_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1719,plain,
    ( ~ c0_1(a143)
    | c1_1(a143)
    | ~ spl0_67
    | ~ spl0_82 ),
    inference(resolution,[],[f543,f618]) ).

fof(f543,plain,
    ( ! [X99] :
        ( ~ c3_1(X99)
        | ~ c0_1(X99)
        | c1_1(X99) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f1704,plain,
    ( spl0_180
    | spl0_61
    | ~ spl0_15
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1687,f779,f310,f515,f1666]) ).

fof(f1687,plain,
    ( c1_1(a160)
    | c0_1(a160)
    | ~ spl0_15
    | ~ spl0_111 ),
    inference(resolution,[],[f311,f781]) ).

fof(f1702,plain,
    ( spl0_153
    | spl0_157
    | ~ spl0_15
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1684,f827,f310,f1049,f1023]) ).

fof(f1684,plain,
    ( c1_1(a153)
    | c0_1(a153)
    | ~ spl0_15
    | ~ spl0_119 ),
    inference(resolution,[],[f311,f829]) ).

fof(f1696,plain,
    ( spl0_25
    | spl0_168
    | ~ spl0_15
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1680,f935,f310,f1196,f352]) ).

fof(f1680,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | ~ spl0_15
    | ~ spl0_138 ),
    inference(resolution,[],[f311,f937]) ).

fof(f1661,plain,
    ( ~ spl0_38
    | spl0_163
    | ~ spl0_66
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1643,f754,f539,f1143,f409]) ).

fof(f409,plain,
    ( spl0_38
  <=> c0_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1143,plain,
    ( spl0_163
  <=> c2_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f539,plain,
    ( spl0_66
  <=> ! [X98] :
        ( ~ c1_1(X98)
        | ~ c0_1(X98)
        | c2_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f754,plain,
    ( spl0_108
  <=> c1_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1643,plain,
    ( c2_1(a128)
    | ~ c0_1(a128)
    | ~ spl0_66
    | ~ spl0_108 ),
    inference(resolution,[],[f540,f756]) ).

fof(f756,plain,
    ( c1_1(a128)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f540,plain,
    ( ! [X98] :
        ( ~ c1_1(X98)
        | c2_1(X98)
        | ~ c0_1(X98) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f1653,plain,
    ( ~ spl0_122
    | spl0_125
    | ~ spl0_45
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1645,f539,f441,f857,f840]) ).

fof(f840,plain,
    ( spl0_122
  <=> c0_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f857,plain,
    ( spl0_125
  <=> c2_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f441,plain,
    ( spl0_45
  <=> c1_1(a138) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1645,plain,
    ( c2_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_45
    | ~ spl0_66 ),
    inference(resolution,[],[f540,f443]) ).

fof(f443,plain,
    ( c1_1(a138)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1618,plain,
    ( spl0_36
    | spl0_25
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1604,f935,f393,f352,f400]) ).

fof(f1604,plain,
    ( c0_1(a132)
    | c2_1(a132)
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(resolution,[],[f394,f937]) ).

fof(f1595,plain,
    ( spl0_58
    | ~ spl0_163
    | ~ spl0_16
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1594,f754,f313,f1143,f501]) ).

fof(f501,plain,
    ( spl0_58
  <=> c3_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f313,plain,
    ( spl0_16
  <=> ! [X78] :
        ( ~ c1_1(X78)
        | c3_1(X78)
        | ~ c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1594,plain,
    ( ~ c2_1(a128)
    | c3_1(a128)
    | ~ spl0_16
    | ~ spl0_108 ),
    inference(resolution,[],[f756,f314]) ).

fof(f314,plain,
    ( ! [X78] :
        ( ~ c1_1(X78)
        | c3_1(X78)
        | ~ c2_1(X78) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1561,plain,
    ( ~ spl0_42
    | ~ spl0_17
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1558,f1174,f480,f317,f427]) ).

fof(f427,plain,
    ( spl0_42
  <=> c0_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f317,plain,
    ( spl0_17
  <=> c2_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f480,plain,
    ( spl0_53
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | ~ c2_1(X18)
        | ~ c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1174,plain,
    ( spl0_166
  <=> c3_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1558,plain,
    ( ~ c2_1(a136)
    | ~ c0_1(a136)
    | ~ spl0_53
    | ~ spl0_166 ),
    inference(resolution,[],[f1176,f481]) ).

fof(f481,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | ~ c0_1(X18)
        | ~ c2_1(X18) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1176,plain,
    ( c3_1(a136)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1560,plain,
    ( ~ spl0_26
    | ~ spl0_17
    | ~ spl0_13
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1559,f1174,f303,f317,f357]) ).

fof(f357,plain,
    ( spl0_26
  <=> c1_1(a136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f303,plain,
    ( spl0_13
  <=> ! [X15] :
        ( ~ c3_1(X15)
        | ~ c2_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1559,plain,
    ( ~ c2_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_13
    | ~ spl0_166 ),
    inference(resolution,[],[f1176,f304]) ).

fof(f304,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | ~ c1_1(X15)
        | ~ c2_1(X15) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f1539,plain,
    ( spl0_36
    | ~ spl0_168
    | ~ spl0_32
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1521,f935,f385,f1196,f400]) ).

fof(f385,plain,
    ( spl0_32
  <=> ! [X120] :
        ( ~ c1_1(X120)
        | c2_1(X120)
        | ~ c3_1(X120) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1521,plain,
    ( ~ c1_1(a132)
    | c2_1(a132)
    | ~ spl0_32
    | ~ spl0_138 ),
    inference(resolution,[],[f386,f937]) ).

fof(f386,plain,
    ( ! [X120] :
        ( ~ c3_1(X120)
        | ~ c1_1(X120)
        | c2_1(X120) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1387,plain,
    ( ~ spl0_17
    | spl0_166
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1384,f357,f313,f1174,f317]) ).

fof(f1384,plain,
    ( c3_1(a136)
    | ~ c2_1(a136)
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(resolution,[],[f314,f359]) ).

fof(f359,plain,
    ( c1_1(a136)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1346,plain,
    ( ~ spl0_156
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1345,f990,f303,f290,f1041]) ).

fof(f1041,plain,
    ( spl0_156
  <=> c1_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f290,plain,
    ( spl0_10
  <=> c2_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f990,plain,
    ( spl0_147
  <=> c3_1(a133) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1345,plain,
    ( ~ c2_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_13
    | ~ spl0_147 ),
    inference(resolution,[],[f992,f304]) ).

fof(f992,plain,
    ( c3_1(a133)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1284,plain,
    ( ~ spl0_50
    | ~ spl0_158
    | ~ spl0_53
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1280,f616,f480,f1059,f466]) ).

fof(f1280,plain,
    ( ~ c0_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_53
    | ~ spl0_82 ),
    inference(resolution,[],[f481,f618]) ).

fof(f1194,plain,
    ( ~ spl0_157
    | ~ spl0_46
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1190,f827,f303,f448,f1049]) ).

fof(f1190,plain,
    ( ~ c2_1(a153)
    | ~ c1_1(a153)
    | ~ spl0_13
    | ~ spl0_119 ),
    inference(resolution,[],[f304,f829]) ).

fof(f1170,plain,
    ( spl0_97
    | ~ spl0_77
    | ~ spl0_32
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1168,f922,f385,f587,f700]) ).

fof(f1168,plain,
    ( ~ c1_1(a164)
    | c2_1(a164)
    | ~ spl0_32
    | ~ spl0_136 ),
    inference(resolution,[],[f924,f386]) ).

fof(f1165,plain,
    ( spl0_99
    | spl0_95
    | ~ spl0_4
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1159,f887,f262,f690,f709]) ).

fof(f709,plain,
    ( spl0_99
  <=> c2_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f690,plain,
    ( spl0_95
  <=> c1_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f887,plain,
    ( spl0_130
  <=> c0_1(a176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1159,plain,
    ( c1_1(a176)
    | c2_1(a176)
    | ~ spl0_4
    | ~ spl0_130 ),
    inference(resolution,[],[f889,f263]) ).

fof(f889,plain,
    ( c0_1(a176)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f1150,plain,
    ( ~ spl0_38
    | spl0_58
    | ~ spl0_24
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1148,f754,f348,f501,f409]) ).

fof(f348,plain,
    ( spl0_24
  <=> ! [X84] :
        ( c3_1(X84)
        | ~ c1_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1148,plain,
    ( c3_1(a128)
    | ~ c0_1(a128)
    | ~ spl0_24
    | ~ spl0_108 ),
    inference(resolution,[],[f756,f349]) ).

fof(f349,plain,
    ( ! [X84] :
        ( ~ c1_1(X84)
        | c3_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1123,plain,
    ( spl0_8
    | spl0_93
    | ~ spl0_39
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1122,f916,f414,f678,f280]) ).

fof(f280,plain,
    ( spl0_8
  <=> c3_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f678,plain,
    ( spl0_93
  <=> c2_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f414,plain,
    ( spl0_39
  <=> ! [X97] :
        ( c3_1(X97)
        | ~ c1_1(X97)
        | c2_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f916,plain,
    ( spl0_135
  <=> c1_1(a127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1122,plain,
    ( c2_1(a127)
    | c3_1(a127)
    | ~ spl0_39
    | ~ spl0_135 ),
    inference(resolution,[],[f415,f918]) ).

fof(f918,plain,
    ( c1_1(a127)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f415,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c3_1(X97)
        | c2_1(X97) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1044,plain,
    ( ~ spl0_11
    | spl0_156 ),
    inference(avatar_split_clause,[],[f179,f1041,f294]) ).

fof(f294,plain,
    ( spl0_11
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f179,plain,
    ( c1_1(a133)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp0
      | hskp7
      | ! [X0] :
          ( ~ c0_1(X0)
          | ~ ndr1_0
          | ~ c3_1(X0)
          | c1_1(X0) ) )
    & ( ~ hskp23
      | ( ~ c1_1(a179)
        & ~ c3_1(a179)
        & c2_1(a179)
        & ndr1_0 ) )
    & ( hskp23
      | ! [X1] :
          ( ~ c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0
          | ~ c1_1(X1) )
      | hskp14 )
    & ( ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c1_1(X3)
          | c3_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp8
      | ! [X5] :
          ( c0_1(X5)
          | ~ c3_1(X5)
          | c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( ~ c1_1(a130)
        & ~ c3_1(a130)
        & ndr1_0
        & ~ c0_1(a130) ) )
    & ( ! [X6] :
          ( c3_1(X6)
          | ~ c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X7] :
          ( c3_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0
          | ~ c1_1(X7) )
      | hskp19
      | hskp27 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp14
      | ! [X8] :
          ( c0_1(X8)
          | ~ ndr1_0
          | c2_1(X8)
          | ~ c3_1(X8) )
      | hskp7 )
    & ( ( c0_1(a225)
        & ndr1_0
        & c2_1(a225)
        & ~ c3_1(a225) )
      | ~ hskp26 )
    & ( ! [X9] :
          ( c3_1(X9)
          | ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9) )
      | hskp22 )
    & ( ! [X10] :
          ( c2_1(X10)
          | ~ ndr1_0
          | ~ c3_1(X10)
          | c1_1(X10) )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ ndr1_0
          | c3_1(X11)
          | c2_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | ~ c3_1(X12)
          | ~ c0_1(X12) ) )
    & ( hskp29
      | ! [X13] :
          ( c2_1(X13)
          | c0_1(X13)
          | ~ ndr1_0
          | c3_1(X13) )
      | hskp7 )
    & ( hskp10
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ ndr1_0
          | ~ c0_1(X14)
          | ~ c1_1(X14) )
      | hskp22 )
    & ( ~ hskp7
      | ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & ndr1_0
        & c3_1(a132) ) )
    & ( hskp3
      | hskp13
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ c1_1(X15) ) )
    & ( ~ hskp28
      | ( c1_1(a133)
        & c2_1(a133)
        & ndr1_0
        & c3_1(a133) ) )
    & ( ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) )
      | ~ hskp13 )
    & ( ! [X16] :
          ( ~ c1_1(X16)
          | c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0
          | ~ c1_1(X17) )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X19] :
          ( ~ c1_1(X19)
          | c2_1(X19)
          | ~ ndr1_0
          | c3_1(X19) )
      | ! [X20] :
          ( c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c2_1(X21)
          | c1_1(X21)
          | ~ c0_1(X21) )
      | ! [X22] :
          ( c2_1(X22)
          | c0_1(X22)
          | ~ ndr1_0
          | ~ c1_1(X22) )
      | hskp13 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c1_1(X24)
          | c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ ndr1_0
          | c1_1(X25)
          | c2_1(X25) ) )
    & ( ( ~ c0_1(a189)
        & c3_1(a189)
        & ~ c1_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ndr1_0
        & ~ c1_1(a147)
        & ~ c3_1(a147)
        & c0_1(a147) )
      | ~ hskp14 )
    & ( ! [X26] :
          ( ~ c1_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0
          | c3_1(X26) )
      | ! [X27] :
          ( c1_1(X27)
          | c3_1(X27)
          | ~ ndr1_0
          | c2_1(X27) )
      | hskp12 )
    & ( hskp8
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28) )
      | hskp9 )
    & ( ~ hskp21
      | ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 ) )
    & ( ! [X29] :
          ( c2_1(X29)
          | ~ c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( hskp27
      | ! [X30] :
          ( c1_1(X30)
          | c0_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | ~ c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c2_1(X32)
          | ~ ndr1_0
          | ~ c3_1(X32)
          | c0_1(X32) )
      | hskp14
      | ! [X33] :
          ( c0_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0
          | c3_1(X33) ) )
    & ( hskp30
      | ! [X34] :
          ( c3_1(X34)
          | c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp20
      | hskp6
      | hskp21 )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0
          | c2_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | c0_1(X36)
          | c3_1(X36) )
      | ! [X37] :
          ( c2_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c3_1(X38)
          | ~ ndr1_0
          | ~ c1_1(X38)
          | c2_1(X38) )
      | ! [X39] :
          ( c2_1(X39)
          | c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a164)
        & c1_1(a164)
        & ~ c2_1(a164) ) )
    & ( hskp12
      | ! [X40] :
          ( c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0
          | ~ c2_1(X40) )
      | ! [X41] :
          ( ~ c3_1(X41)
          | c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0
          | ~ c1_1(X42) )
      | hskp24
      | hskp7 )
    & ( hskp16
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141) ) )
    & ( hskp20
      | hskp26
      | hskp15 )
    & ( hskp1
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0
          | c2_1(X44) )
      | hskp3 )
    & ( ! [X45] :
          ( ~ c1_1(X45)
          | ~ ndr1_0
          | ~ c0_1(X45)
          | ~ c3_1(X45) )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0
          | c1_1(X46) )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ ndr1_0
          | ~ c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp14
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48) )
      | hskp25 )
    & ( hskp18
      | hskp10
      | ! [X49] :
          ( ~ c1_1(X49)
          | ~ ndr1_0
          | ~ c0_1(X49)
          | c2_1(X49) ) )
    & ( ! [X50] :
          ( c1_1(X50)
          | c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | c2_1(X51)
          | c1_1(X51) )
      | ! [X52] :
          ( ~ c2_1(X52)
          | c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ~ c1_1(a123)
        & ndr1_0
        & ~ c0_1(a123)
        & c2_1(a123) ) )
    & ( hskp27
      | ! [X53] :
          ( ~ c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0
          | c0_1(X53) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | ~ c2_1(X54)
          | c3_1(X54) ) )
    & ( ! [X55] :
          ( ~ c0_1(X55)
          | ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c2_1(X55) )
      | ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | c2_1(X56)
          | c3_1(X56) )
      | hskp8 )
    & ( hskp2
      | hskp19
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c0_1(X57) ) )
    & ( ~ hskp22
      | ( c0_1(a176)
        & ndr1_0
        & ~ c2_1(a176)
        & ~ c1_1(a176) ) )
    & ( ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | c1_1(X58) )
      | hskp3
      | hskp15 )
    & ( hskp17
      | hskp0
      | ! [X59] :
          ( c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0
          | ~ c1_1(X59) ) )
    & ( hskp21
      | hskp6
      | ! [X60] :
          ( ~ ndr1_0
          | c1_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c2_1(a136)
        & c1_1(a136)
        & c0_1(a136) ) )
    & ( ! [X61] :
          ( ~ c0_1(X61)
          | c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | c0_1(X62)
          | c1_1(X62) )
      | hskp7 )
    & ( hskp9
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | c2_1(X63) )
      | hskp22 )
    & ( hskp5
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0
          | ~ c1_1(X64) )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | c0_1(X66) )
      | hskp18 )
    & ( ( c1_1(a128)
        & ndr1_0
        & ~ c3_1(a128)
        & c0_1(a128) )
      | ~ hskp4 )
    & ( ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c1_1(X68)
          | ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68) )
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69) ) )
    & ( hskp23
      | ! [X70] :
          ( ~ c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0
          | ~ c2_1(X70) )
      | hskp8 )
    & ( ~ hskp18
      | ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 ) )
    & ( hskp12
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ndr1_0
        & ~ c3_1(a134)
        & c2_1(a134)
        & ~ c0_1(a134) )
      | ~ hskp8 )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( hskp29
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | c0_1(X72)
          | ~ c3_1(X72) )
      | hskp7 )
    & ( ( ~ c2_1(a155)
        & ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155) )
      | ~ hskp17 )
    & ( ( ndr1_0
        & ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182) )
      | ~ hskp24 )
    & ( hskp6
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73) )
      | ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a168)
        & ndr1_0
        & ~ c0_1(a168)
        & c1_1(a168) )
      | ~ hskp20 )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75) )
      | hskp6
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ ndr1_0
          | c0_1(X76)
          | c1_1(X76) ) )
    & ( ! [X77] :
          ( c0_1(X77)
          | c2_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | ~ ndr1_0
          | ~ c3_1(X79)
          | c0_1(X79) ) )
    & ( hskp12
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80) )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0
          | c0_1(X81) ) )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ ndr1_0
          | c0_1(X82)
          | ~ c2_1(X82) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | c0_1(X83)
          | c2_1(X83) )
      | hskp4 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ ndr1_0
          | c3_1(X84)
          | ~ c1_1(X84) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | c0_1(X85)
          | c2_1(X85) )
      | hskp28 )
    & ( ! [X86] :
          ( c2_1(X86)
          | ~ c3_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ ndr1_0
          | ~ c0_1(X87)
          | ~ c3_1(X87) )
      | ! [X88] :
          ( ~ ndr1_0
          | c0_1(X88)
          | c2_1(X88)
          | ~ c1_1(X88) ) )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c2_1(X89)
          | c1_1(X89)
          | ~ c0_1(X89) )
      | hskp19
      | hskp17 )
    & ( ( c3_1(a122)
        & ndr1_0
        & c2_1(a122)
        & c0_1(a122) )
      | ~ hskp27 )
    & ( ! [X90] :
          ( c0_1(X90)
          | c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ ndr1_0
          | c2_1(X91)
          | c1_1(X91)
          | ~ c3_1(X91) )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0
          | ~ c0_1(X92) ) )
    & ( hskp27
      | hskp15
      | hskp3 )
    & ( hskp8
      | hskp2
      | hskp19 )
    & ( hskp30
      | hskp6
      | hskp9 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0
          | c3_1(X93) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | ~ c0_1(X94) )
      | hskp9 )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( hskp6
      | ! [X95] :
          ( ~ c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0
          | ~ c0_1(X95) )
      | hskp25 )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c3_1(a124)
        & c1_1(a124)
        & c2_1(a124) ) )
    & ( ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) )
      | ~ hskp16 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | c0_1(X96)
          | c2_1(X96) )
      | ! [X97] :
          ( ~ c1_1(X97)
          | ~ ndr1_0
          | c3_1(X97)
          | c2_1(X97) )
      | hskp29 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c0_1(X98)
          | c2_1(X98)
          | ~ c1_1(X98) )
      | hskp7
      | ! [X99] :
          ( ~ c0_1(X99)
          | c1_1(X99)
          | ~ ndr1_0
          | ~ c3_1(X99) ) )
    & ( ~ hskp2
      | ( c2_1(a125)
        & ~ c0_1(a125)
        & ndr1_0
        & c1_1(a125) ) )
    & ( ( ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0
        & ~ c2_1(a131) )
      | ~ hskp6 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c3_1(X100) )
      | ! [X101] :
          ( c0_1(X101)
          | c1_1(X101)
          | ~ ndr1_0
          | c2_1(X101) )
      | ! [X102] :
          ( ~ ndr1_0
          | c3_1(X102)
          | c0_1(X102)
          | c1_1(X102) ) )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ ndr1_0
          | ~ c1_1(X103)
          | c0_1(X103) )
      | ! [X104] :
          ( ~ ndr1_0
          | c3_1(X104)
          | c2_1(X104)
          | ~ c0_1(X104) )
      | ! [X105] :
          ( c2_1(X105)
          | ~ ndr1_0
          | c1_1(X105)
          | c0_1(X105) ) )
    & ( ! [X106] :
          ( c0_1(X106)
          | c2_1(X106)
          | ~ ndr1_0
          | ~ c1_1(X106) )
      | ! [X107] :
          ( ~ ndr1_0
          | c2_1(X107)
          | c0_1(X107)
          | ~ c3_1(X107) )
      | ! [X108] :
          ( ~ ndr1_0
          | c0_1(X108)
          | c2_1(X108)
          | c1_1(X108) ) )
    & ( ! [X109] :
          ( ~ ndr1_0
          | c0_1(X109)
          | ~ c1_1(X109)
          | c3_1(X109) )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0
          | ~ c2_1(X110) )
      | hskp16 )
    & ( hskp1
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c1_1(X112)
          | c3_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X113] :
          ( ~ ndr1_0
          | c0_1(X113)
          | c2_1(X113)
          | c1_1(X113) ) )
    & ( hskp13
      | hskp12
      | hskp19 )
    & ( ! [X114] :
          ( ~ ndr1_0
          | c3_1(X114)
          | c2_1(X114)
          | c0_1(X114) )
      | hskp7
      | hskp9 )
    & ( ( c2_1(a153)
        & ~ c0_1(a153)
        & c3_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ! [X115] :
          ( ~ c2_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0
          | c0_1(X115) )
      | ! [X116] :
          ( c3_1(X116)
          | ~ c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0
          | ~ c2_1(X117) ) )
    & ( hskp22
      | hskp7
      | ! [X118] :
          ( ~ c2_1(X118)
          | ~ ndr1_0
          | ~ c3_1(X118)
          | c1_1(X118) ) )
    & ( hskp28
      | ! [X119] :
          ( ~ ndr1_0
          | c0_1(X119)
          | c2_1(X119)
          | ~ c1_1(X119) )
      | hskp3 )
    & ( ! [X120] :
          ( c2_1(X120)
          | ~ ndr1_0
          | ~ c1_1(X120)
          | ~ c3_1(X120) )
      | hskp17
      | hskp13 )
    & ( hskp11
      | hskp10
      | ! [X121] :
          ( c2_1(X121)
          | ~ ndr1_0
          | c0_1(X121)
          | c3_1(X121) ) )
    & ( ! [X122] :
          ( ~ ndr1_0
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ c1_1(X122) )
      | ! [X123] :
          ( ~ c2_1(X123)
          | ~ ndr1_0
          | c1_1(X123)
          | c0_1(X123) )
      | ! [X124] :
          ( c1_1(X124)
          | ~ ndr1_0
          | ~ c0_1(X124)
          | ~ c2_1(X124) ) )
    & ( hskp15
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c3_1(X125)
          | c0_1(X125)
          | c2_1(X125) )
      | hskp10 )
    & ( ! [X126] :
          ( ~ c3_1(X126)
          | ~ ndr1_0
          | c2_1(X126)
          | ~ c1_1(X126) )
      | hskp15
      | hskp13 )
    & ( ( ndr1_0
        & ~ c2_1(a127)
        & c1_1(a127)
        & ~ c3_1(a127) )
      | ~ hskp3 )
    & ( ~ hskp30
      | ( c0_1(a167)
        & c1_1(a167)
        & c3_1(a167)
        & ndr1_0 ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp0
      | hskp7
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ ndr1_0
          | ~ c3_1(X102)
          | c1_1(X102) ) )
    & ( ~ hskp23
      | ( ~ c1_1(a179)
        & ~ c3_1(a179)
        & c2_1(a179)
        & ndr1_0 ) )
    & ( hskp23
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0
          | ~ c1_1(X58) )
      | hskp14 )
    & ( ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c1_1(X6)
          | c3_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp8
      | ! [X1] :
          ( c0_1(X1)
          | ~ c3_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 ) )
    & ( ~ hskp5
      | ( ~ c1_1(a130)
        & ~ c3_1(a130)
        & ndr1_0
        & ~ c0_1(a130) ) )
    & ( ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X23] :
          ( c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23) )
      | hskp19
      | hskp27 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp14
      | ! [X80] :
          ( c0_1(X80)
          | ~ ndr1_0
          | c2_1(X80)
          | ~ c3_1(X80) )
      | hskp7 )
    & ( ( c0_1(a225)
        & ndr1_0
        & c2_1(a225)
        & ~ c3_1(a225) )
      | ~ hskp26 )
    & ( ! [X46] :
          ( c3_1(X46)
          | ~ ndr1_0
          | ~ c2_1(X46)
          | ~ c1_1(X46) )
      | hskp22 )
    & ( ! [X30] :
          ( c2_1(X30)
          | ~ ndr1_0
          | ~ c3_1(X30)
          | c1_1(X30) )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ c0_1(X28) ) )
    & ( hskp29
      | ! [X56] :
          ( c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0
          | c3_1(X56) )
      | hskp7 )
    & ( hskp10
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ ndr1_0
          | ~ c0_1(X2)
          | ~ c1_1(X2) )
      | hskp22 )
    & ( ~ hskp7
      | ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & ndr1_0
        & c3_1(a132) ) )
    & ( hskp3
      | hskp13
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ c1_1(X75) ) )
    & ( ~ hskp28
      | ( c1_1(a133)
        & c2_1(a133)
        & ndr1_0
        & c3_1(a133) ) )
    & ( ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) )
      | ~ hskp13 )
    & ( ! [X111] :
          ( ~ c1_1(X111)
          | c0_1(X111)
          | c3_1(X111)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c3_1(X113)
          | ~ ndr1_0
          | ~ c1_1(X113) )
      | ! [X112] :
          ( ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X67] :
          ( ~ c1_1(X67)
          | c2_1(X67)
          | ~ ndr1_0
          | c3_1(X67) )
      | ! [X68] :
          ( c0_1(X68)
          | c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ ndr1_0
          | c2_1(X88)
          | c1_1(X88)
          | ~ c0_1(X88) )
      | ! [X89] :
          ( c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0
          | ~ c1_1(X89) )
      | hskp13 )
    & ( ! [X104] :
          ( c0_1(X104)
          | c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ ndr1_0
          | c1_1(X103)
          | c2_1(X103) ) )
    & ( ( ~ c0_1(a189)
        & c3_1(a189)
        & ~ c1_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ndr1_0
        & ~ c1_1(a147)
        & ~ c3_1(a147)
        & c0_1(a147) )
      | ~ hskp14 )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0
          | c3_1(X64) )
      | ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ ndr1_0
          | c2_1(X65) )
      | hskp12 )
    & ( hskp8
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31) )
      | hskp9 )
    & ( ~ hskp21
      | ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 ) )
    & ( ! [X45] :
          ( c2_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( hskp27
      | ! [X97] :
          ( c1_1(X97)
          | c0_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c0_1(X98)
          | ~ c2_1(X98)
          | c3_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c2_1(X48)
          | ~ ndr1_0
          | ~ c3_1(X48)
          | c0_1(X48) )
      | hskp14
      | ! [X47] :
          ( c0_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0
          | c3_1(X47) ) )
    & ( hskp30
      | ! [X79] :
          ( c3_1(X79)
          | c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp20
      | hskp6
      | hskp21 )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c0_1(X77)
          | c3_1(X77) )
      | ! [X76] :
          ( c2_1(X76)
          | c3_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c3_1(X16)
          | ~ ndr1_0
          | ~ c1_1(X16)
          | c2_1(X16) )
      | ! [X15] :
          ( c2_1(X15)
          | c1_1(X15)
          | c0_1(X15)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a164)
        & c1_1(a164)
        & ~ c2_1(a164) ) )
    & ( hskp12
      | ! [X70] :
          ( c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0
          | ~ c2_1(X70) )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0
          | ~ c1_1(X18) )
      | hskp24
      | hskp7 )
    & ( hskp16
      | ! [X9] :
          ( c3_1(X9)
          | c2_1(X9)
          | c1_1(X9)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141) ) )
    & ( hskp20
      | hskp26
      | hskp15 )
    & ( hskp1
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0
          | c2_1(X57) )
      | hskp3 )
    & ( ! [X84] :
          ( ~ c1_1(X84)
          | ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c3_1(X84) )
      | ! [X83] :
          ( ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0
          | c1_1(X83) )
      | ! [X85] :
          ( ~ c3_1(X85)
          | ~ ndr1_0
          | ~ c2_1(X85)
          | c0_1(X85) ) )
    & ( hskp14
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c1_1(X59)
          | ~ c0_1(X59) )
      | hskp25 )
    & ( hskp18
      | hskp10
      | ! [X54] :
          ( ~ c1_1(X54)
          | ~ ndr1_0
          | ~ c0_1(X54)
          | c2_1(X54) ) )
    & ( ! [X123] :
          ( c1_1(X123)
          | c0_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c3_1(X124)
          | c2_1(X124)
          | c1_1(X124) )
      | ! [X122] :
          ( ~ c2_1(X122)
          | c1_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ~ c1_1(a123)
        & ndr1_0
        & ~ c0_1(a123)
        & c2_1(a123) ) )
    & ( hskp27
      | ! [X82] :
          ( ~ c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0
          | c0_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | c3_1(X81) ) )
    & ( ! [X74] :
          ( ~ c0_1(X74)
          | ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | c0_1(X73)
          | c2_1(X73)
          | c3_1(X73) )
      | hskp8 )
    & ( hskp2
      | hskp19
      | ! [X119] :
          ( ~ c1_1(X119)
          | ~ ndr1_0
          | ~ c3_1(X119)
          | ~ c0_1(X119) ) )
    & ( ~ hskp22
      | ( c0_1(a176)
        & ndr1_0
        & ~ c2_1(a176)
        & ~ c1_1(a176) ) )
    & ( ! [X114] :
          ( ~ ndr1_0
          | ~ c0_1(X114)
          | ~ c3_1(X114)
          | c1_1(X114) )
      | hskp3
      | hskp15 )
    & ( hskp17
      | hskp0
      | ! [X44] :
          ( c0_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0
          | ~ c1_1(X44) ) )
    & ( hskp21
      | hskp6
      | ! [X27] :
          ( ~ ndr1_0
          | c1_1(X27)
          | ~ c0_1(X27)
          | ~ c3_1(X27) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c2_1(a136)
        & c1_1(a136)
        & c0_1(a136) ) )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | c0_1(X106)
          | c1_1(X106) )
      | hskp7 )
    & ( hskp9
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87) )
      | hskp22 )
    & ( hskp5
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0
          | ~ c1_1(X10) )
      | ! [X11] :
          ( ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | c0_1(X17) )
      | hskp18 )
    & ( ( c1_1(a128)
        & ndr1_0
        & ~ c3_1(a128)
        & c0_1(a128) )
      | ~ hskp4 )
    & ( ! [X117] :
          ( ~ c1_1(X117)
          | c3_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c1_1(X116)
          | ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c2_1(X116) )
      | ! [X115] :
          ( ~ c3_1(X115)
          | ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c0_1(X115) ) )
    & ( hskp23
      | ! [X55] :
          ( ~ c3_1(X55)
          | c1_1(X55)
          | ~ ndr1_0
          | ~ c2_1(X55) )
      | hskp8 )
    & ( ~ hskp18
      | ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 ) )
    & ( hskp12
      | ! [X86] :
          ( ~ c0_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ndr1_0
        & ~ c3_1(a134)
        & c2_1(a134)
        & ~ c0_1(a134) )
      | ~ hskp8 )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( hskp29
      | ! [X0] :
          ( ~ ndr1_0
          | ~ c2_1(X0)
          | c0_1(X0)
          | ~ c3_1(X0) )
      | hskp7 )
    & ( ( ~ c2_1(a155)
        & ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155) )
      | ~ hskp17 )
    & ( ( ndr1_0
        & ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182) )
      | ~ hskp24 )
    & ( hskp6
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c0_1(X25) )
      | ! [X26] :
          ( c1_1(X26)
          | c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a168)
        & ndr1_0
        & ~ c0_1(a168)
        & c1_1(a168) )
      | ~ hskp20 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95) )
      | hskp6
      | ! [X96] :
          ( ~ c3_1(X96)
          | ~ ndr1_0
          | c0_1(X96)
          | c1_1(X96) ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | ~ ndr1_0
          | ~ c3_1(X3)
          | c0_1(X3) ) )
    & ( hskp12
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100) )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0
          | c0_1(X99) ) )
    & ( ! [X53] :
          ( c1_1(X53)
          | ~ ndr1_0
          | c0_1(X53)
          | ~ c2_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c0_1(X52)
          | c2_1(X52) )
      | hskp4 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ ndr1_0
          | c3_1(X120)
          | ~ c1_1(X120) )
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c1_1(X121)
          | c0_1(X121)
          | c2_1(X121) )
      | hskp28 )
    & ( ! [X34] :
          ( c2_1(X34)
          | ~ c3_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ ndr1_0
          | ~ c0_1(X32)
          | ~ c3_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | c2_1(X24)
          | c1_1(X24)
          | ~ c0_1(X24) )
      | hskp19
      | hskp17 )
    & ( ( c3_1(a122)
        & ndr1_0
        & c2_1(a122)
        & c0_1(a122) )
      | ~ hskp27 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ ndr1_0
          | c2_1(X40)
          | c1_1(X40)
          | ~ c3_1(X40) )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0
          | ~ c0_1(X38) ) )
    & ( hskp27
      | hskp15
      | hskp3 )
    & ( hskp8
      | hskp2
      | hskp19 )
    & ( hskp30
      | hskp6
      | hskp9 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0
          | c3_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90) )
      | hskp9 )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( hskp6
      | ! [X60] :
          ( ~ c3_1(X60)
          | c2_1(X60)
          | ~ ndr1_0
          | ~ c0_1(X60) )
      | hskp25 )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c3_1(a124)
        & c1_1(a124)
        & c2_1(a124) ) )
    & ( ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) )
      | ~ hskp16 )
    & ( ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | c0_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ ndr1_0
          | c3_1(X71)
          | c2_1(X71) )
      | hskp29 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c2_1(X61)
          | ~ c1_1(X61) )
      | hskp7
      | ! [X62] :
          ( ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0
          | ~ c3_1(X62) ) )
    & ( ~ hskp2
      | ( c2_1(a125)
        & ~ c0_1(a125)
        & ndr1_0
        & c1_1(a125) ) )
    & ( ( ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0
        & ~ c2_1(a131) )
      | ~ hskp6 )
    & ( ! [X42] :
          ( c2_1(X42)
          | ~ ndr1_0
          | ~ c1_1(X42)
          | ~ c3_1(X42) )
      | ! [X43] :
          ( c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0
          | c2_1(X43) )
      | ! [X41] :
          ( ~ ndr1_0
          | c3_1(X41)
          | c0_1(X41)
          | c1_1(X41) ) )
    & ( ! [X35] :
          ( c2_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | c0_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | c3_1(X36)
          | c2_1(X36)
          | ~ c0_1(X36) )
      | ! [X37] :
          ( c2_1(X37)
          | ~ ndr1_0
          | c1_1(X37)
          | c0_1(X37) ) )
    & ( ! [X94] :
          ( c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0
          | ~ c1_1(X94) )
      | ! [X92] :
          ( ~ ndr1_0
          | c2_1(X92)
          | c0_1(X92)
          | ~ c3_1(X92) )
      | ! [X93] :
          ( ~ ndr1_0
          | c0_1(X93)
          | c2_1(X93)
          | c1_1(X93) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21) )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0
          | ~ c2_1(X22) )
      | hskp16 )
    & ( hskp1
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( ~ c1_1(X126)
          | c3_1(X126)
          | ~ c0_1(X126)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp13
      | hskp12
      | hskp19 )
    & ( ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c2_1(X13)
          | c0_1(X13) )
      | hskp7
      | hskp9 )
    & ( ( c2_1(a153)
        & ~ c0_1(a153)
        & c3_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0
          | c0_1(X50) )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0
          | ~ c2_1(X49) ) )
    & ( hskp22
      | hskp7
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ ndr1_0
          | ~ c3_1(X20)
          | c1_1(X20) ) )
    & ( hskp28
      | ! [X118] :
          ( ~ ndr1_0
          | c0_1(X118)
          | c2_1(X118)
          | ~ c1_1(X118) )
      | hskp3 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c3_1(X101) )
      | hskp17
      | hskp13 )
    & ( hskp11
      | hskp10
      | ! [X14] :
          ( c2_1(X14)
          | ~ ndr1_0
          | c0_1(X14)
          | c3_1(X14) ) )
    & ( ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ c1_1(X110) )
      | ! [X108] :
          ( ~ c2_1(X108)
          | ~ ndr1_0
          | c1_1(X108)
          | c0_1(X108) )
      | ! [X109] :
          ( c1_1(X109)
          | ~ ndr1_0
          | ~ c0_1(X109)
          | ~ c2_1(X109) ) )
    & ( hskp15
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c0_1(X19)
          | c2_1(X19) )
      | hskp10 )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ ndr1_0
          | c2_1(X66)
          | ~ c1_1(X66) )
      | hskp15
      | hskp13 )
    & ( ( ndr1_0
        & ~ c2_1(a127)
        & c1_1(a127)
        & ~ c3_1(a127) )
      | ~ hskp3 )
    & ( ~ hskp30
      | ( c0_1(a167)
        & c1_1(a167)
        & c3_1(a167)
        & ndr1_0 ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp7
      | ! [X102] :
          ( c1_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( ~ c3_1(a168)
        & ndr1_0
        & ~ c0_1(a168)
        & c1_1(a168) )
      | ~ hskp20 )
    & ( hskp19
      | hskp2
      | ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X13] :
          ( c0_1(X13)
          | c2_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp27
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c2_1(X81)
          | c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c2_1(X73)
          | c0_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ~ hskp21
      | ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 ) )
    & ( hskp8
      | hskp2
      | hskp19 )
    & ( hskp22
      | ! [X46] :
          ( ~ c1_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | ~ c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( ! [X69] :
          ( c2_1(X69)
          | c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp12
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c3_1(a134)
        & c2_1(a134)
        & ~ c0_1(a134) )
      | ~ hskp8 )
    & ( ! [X97] :
          ( c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 )
      | hskp27
      | ! [X98] :
          ( ~ c2_1(X98)
          | c0_1(X98)
          | c3_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c1_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c0_1(X43)
          | c2_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp23
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c3_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a225)
        & ndr1_0
        & c2_1(a225)
        & ~ c3_1(a225) )
      | ~ hskp26 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp29
      | ! [X56] :
          ( c0_1(X56)
          | c2_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141) ) )
    & ( ~ hskp7
      | ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & ndr1_0
        & c3_1(a132) ) )
    & ( hskp16
      | hskp2
      | ! [X9] :
          ( c3_1(X9)
          | c2_1(X9)
          | c1_1(X9)
          | ~ ndr1_0 ) )
    & ( ~ hskp30
      | ( c0_1(a167)
        & c1_1(a167)
        & c3_1(a167)
        & ndr1_0 ) )
    & ( hskp30
      | hskp6
      | hskp9 )
    & ( hskp3
      | hskp28
      | ! [X118] :
          ( c0_1(X118)
          | ~ c1_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c3_1(X39)
          | c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c0_1(X25)
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp6
      | ! [X26] :
          ( c2_1(X26)
          | ~ c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | hskp4
      | ! [X52] :
          ( ~ c1_1(X52)
          | c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( ~ c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | c1_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a153)
        & ~ c0_1(a153)
        & c3_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ndr1_0
        & ~ c1_1(a147)
        & ~ c3_1(a147)
        & c0_1(a147) )
      | ~ hskp14 )
    & ( ! [X76] :
          ( c3_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( c2_1(a125)
        & ~ c0_1(a125)
        & ndr1_0
        & c1_1(a125) ) )
    & ( ! [X24] :
          ( ~ c0_1(X24)
          | c1_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | hskp17
      | hskp19 )
    & ( ( ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0
        & ~ c2_1(a131) )
      | ~ hskp6 )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X80] :
          ( c0_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) )
      | ~ hskp13 )
    & ( ! [X21] :
          ( c3_1(X21)
          | ~ c1_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) )
      | ~ hskp16 )
    & ( ! [X106] :
          ( c0_1(X106)
          | ~ c3_1(X106)
          | c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c0_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp10
      | hskp18
      | ! [X54] :
          ( ~ c1_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp26
      | hskp15 )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c3_1(a124)
        & c1_1(a124)
        & c2_1(a124) ) )
    & ( ! [X122] :
          ( ~ c3_1(X122)
          | c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c1_1(X124)
          | ~ c3_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c3_1(X123)
          | c0_1(X123)
          | c1_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c3_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ( ~ c2_1(a155)
        & ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155) )
      | ~ hskp17 )
    & ( ~ hskp28
      | ( c1_1(a133)
        & c2_1(a133)
        & ndr1_0
        & c3_1(a133) ) )
    & ( ( ~ c0_1(a189)
        & c3_1(a189)
        & ~ c1_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ~ hskp5
      | ( ~ c1_1(a130)
        & ~ c3_1(a130)
        & ndr1_0
        & ~ c0_1(a130) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c2_1(a136)
        & c1_1(a136)
        & c0_1(a136) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( hskp10
      | hskp15
      | ! [X19] :
          ( c2_1(X19)
          | c0_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp6
      | hskp21
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c3_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c0_1(X100)
          | ~ c1_1(X100)
          | c2_1(X100)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c1_1(X35)
          | c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c3_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c1_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp25
      | hskp14 )
    & ( hskp13
      | hskp12
      | hskp19 )
    & ( ( c1_1(a128)
        & ndr1_0
        & ~ c3_1(a128)
        & c0_1(a128) )
      | ~ hskp4 )
    & ( ! [X0] :
          ( ~ c2_1(X0)
          | ~ c3_1(X0)
          | c0_1(X0)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( hskp3
      | hskp1
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ~ c1_1(a123)
        & ndr1_0
        & ~ c0_1(a123)
        & c2_1(a123) ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 ) )
    & ( ~ hskp18
      | ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( hskp27
      | ! [X23] :
          ( ~ c2_1(X23)
          | c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X94] :
          ( c2_1(X94)
          | ~ c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c0_1(X92)
          | c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c2_1(X93)
          | c0_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c1_1(X63)
          | c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ~ hskp23
      | ( ~ c1_1(a179)
        & ~ c3_1(a179)
        & c2_1(a179)
        & ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X121] :
          ( c2_1(X121)
          | ~ c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c0_1(X120)
          | c3_1(X120)
          | ~ c1_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( c1_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c0_1(X108)
          | ~ c2_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a127)
        & c1_1(a127)
        & ~ c3_1(a127) )
      | ~ hskp3 )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | c0_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp0
      | hskp18 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X60] :
          ( c2_1(X60)
          | ~ c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ~ hskp22
      | ( c0_1(a176)
        & ndr1_0
        & ~ c2_1(a176)
        & ~ c1_1(a176) ) )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c3_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | hskp29
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X2] :
          ( ~ c0_1(X2)
          | ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | hskp22
      | hskp10 )
    & ( hskp6
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X14] :
          ( c2_1(X14)
          | c3_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X44] :
          ( ~ c3_1(X44)
          | c0_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp0
      | hskp17 )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | ~ c1_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | hskp7
      | hskp24 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c3_1(X116)
          | c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( ~ c3_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp7
      | hskp22 )
    & ( ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c3_1(X126)
          | ~ c1_1(X126)
          | ~ c0_1(X126)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X47] :
          ( c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 )
      | hskp14
      | ! [X48] :
          ( c2_1(X48)
          | c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp14
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp24
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | c1_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( hskp9
      | hskp22
      | ! [X87] :
          ( ~ c0_1(X87)
          | c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c1_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp24
      | hskp15 )
    & ( ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | c0_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( c3_1(a122)
        & ndr1_0
        & c2_1(a122)
        & c0_1(a122) )
      | ~ hskp27 )
    & ( ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( hskp13
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c3_1(X16)
          | c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp20
      | hskp6
      | hskp21 )
    & ( hskp27
      | hskp15
      | hskp3 )
    & ( ( ndr1_0
        & ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182) )
      | ~ hskp24 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ! [X90] :
          ( ~ c1_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a164)
        & c1_1(a164)
        & ~ c2_1(a164) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp7
      | ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c0_1(X102)
            | ~ c3_1(X102) ) )
      | hskp0 )
    & ( ( ~ c3_1(a168)
        & ndr1_0
        & ~ c0_1(a168)
        & c1_1(a168) )
      | ~ hskp20 )
    & ( hskp19
      | hskp2
      | ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c1_1(X119)
            | ~ c3_1(X119) ) ) )
    & ( hskp7
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c2_1(X13)
            | c3_1(X13) ) )
      | hskp9 )
    & ( hskp27
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c2_1(X81)
            | c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c2_1(X30)
            | ~ c3_1(X30) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c0_1(X73)
            | c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | ~ c2_1(X74)
            | ~ c3_1(X74) ) )
      | hskp8 )
    & ( ~ hskp21
      | ( ~ c1_1(a170)
        & c2_1(a170)
        & c0_1(a170)
        & ndr1_0 ) )
    & ( hskp8
      | hskp2
      | hskp19 )
    & ( hskp22
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c2_1(X79) ) )
      | hskp30
      | hskp20 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c0_1(X104)
            | ~ c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c1_1(X105)
            | c0_1(X105) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c0_1(X103)
            | c1_1(X103) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c1_1(X75)
            | ~ c3_1(X75) ) )
      | hskp3
      | hskp13 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | c0_1(X69)
            | ~ c3_1(X69) ) )
      | hskp12
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | ~ c2_1(X70)
            | c3_1(X70) ) ) )
    & ( ( ndr1_0
        & ~ c3_1(a134)
        & c2_1(a134)
        & ~ c0_1(a134) )
      | ~ hskp8 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) )
      | hskp27
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | c0_1(X98)
            | c3_1(X98) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c0_1(X43)
            | c2_1(X43) ) ) )
    & ( hskp8
      | hskp23
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c3_1(X55)
            | c1_1(X55) ) ) )
    & ( ( c0_1(a225)
        & ndr1_0
        & c2_1(a225)
        & ~ c3_1(a225) )
      | ~ hskp26 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c3_1(X49) ) ) )
    & ( hskp7
      | hskp29
      | ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c2_1(X56)
            | c3_1(X56) ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a141)
        & ~ c2_1(a141)
        & ~ c1_1(a141) ) )
    & ( ~ hskp7
      | ( ~ c2_1(a132)
        & ~ c0_1(a132)
        & ndr1_0
        & c3_1(a132) ) )
    & ( hskp16
      | hskp2
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c2_1(X9)
            | c1_1(X9) ) ) )
    & ( ~ hskp30
      | ( c0_1(a167)
        & c1_1(a167)
        & c3_1(a167)
        & ndr1_0 ) )
    & ( hskp30
      | hskp6
      | hskp9 )
    & ( hskp3
      | hskp28
      | ! [X118] :
          ( ndr1_0
         => ( c0_1(X118)
            | ~ c1_1(X118)
            | c2_1(X118) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c0_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c3_1(X40)
            | c2_1(X40) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c3_1(X25)
            | ~ c2_1(X25) ) )
      | hskp6
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c3_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c1_1(X53)
            | c0_1(X53) ) )
      | hskp4
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c0_1(X52)
            | c2_1(X52) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | c3_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ( c2_1(a153)
        & ~ c0_1(a153)
        & c3_1(a153)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ndr1_0
        & ~ c1_1(a147)
        & ~ c3_1(a147)
        & c0_1(a147) )
      | ~ hskp14 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | ~ c1_1(X76)
            | c2_1(X76) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) ) )
    & ( ~ hskp2
      | ( c2_1(a125)
        & ~ c0_1(a125)
        & ndr1_0
        & c1_1(a125) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c1_1(X24)
            | c2_1(X24) ) )
      | hskp17
      | hskp19 )
    & ( ( ~ c1_1(a131)
        & ~ c0_1(a131)
        & ndr1_0
        & ~ c2_1(a131) )
      | ~ hskp6 )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c0_1(X85)
            | ~ c2_1(X85) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c0_1(X84)
            | ~ c1_1(X84) ) ) )
    & ( hskp7
      | ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | hskp14 )
    & ( ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) )
      | ~ hskp13 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | ~ c1_1(X21)
            | c0_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c1_1(X22)
            | ~ c3_1(X22) ) )
      | hskp16 )
    & ( ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) )
      | ~ hskp16 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c0_1(X106)
            | ~ c3_1(X106)
            | c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | ~ c1_1(X107)
            | c2_1(X107) ) )
      | hskp7 )
    & ( hskp10
      | hskp18
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | ~ c0_1(X54)
            | c2_1(X54) ) ) )
    & ( hskp20
      | hskp26
      | hskp15 )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c3_1(a124)
        & c1_1(a124)
        & c2_1(a124) ) )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | c1_1(X122)
            | ~ c2_1(X122) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c1_1(X124)
            | ~ c3_1(X124)
            | c2_1(X124) ) )
      | ! [X123] :
          ( ndr1_0
         => ( ~ c3_1(X123)
            | c0_1(X123)
            | c1_1(X123) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c1_1(X8)
            | c3_1(X8) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | ~ c1_1(X6)
            | ~ c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c3_1(X7)
            | ~ c1_1(X7) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c0_1(X89)
            | c2_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c2_1(X88)
            | ~ c0_1(X88) ) )
      | hskp13 )
    & ( ( ~ c2_1(a155)
        & ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155) )
      | ~ hskp17 )
    & ( ~ hskp28
      | ( c1_1(a133)
        & c2_1(a133)
        & ndr1_0
        & c3_1(a133) ) )
    & ( ( ~ c0_1(a189)
        & c3_1(a189)
        & ~ c1_1(a189)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ~ hskp5
      | ( ~ c1_1(a130)
        & ~ c3_1(a130)
        & ndr1_0
        & ~ c0_1(a130) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c2_1(a136)
        & c1_1(a136)
        & c0_1(a136) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( hskp10
      | hskp15
      | ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | c0_1(X19)
            | ~ c3_1(X19) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | ~ c0_1(X61)
            | ~ c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | c1_1(X62) ) )
      | hskp7 )
    & ( hskp6
      | hskp21
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c3_1(X99)
            | c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c0_1(X100)
            | ~ c1_1(X100)
            | c2_1(X100) ) )
      | hskp12 )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | ~ c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) )
      | hskp5 )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c3_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c0_1(X35)
            | c2_1(X35) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c1_1(X37)
            | c2_1(X37) ) ) )
    & ( hskp13
      | hskp15
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c3_1(X66)
            | c2_1(X66) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | ~ c0_1(X59)
            | ~ c2_1(X59) ) )
      | hskp25
      | hskp14 )
    & ( hskp13
      | hskp12
      | hskp19 )
    & ( ( c1_1(a128)
        & ndr1_0
        & ~ c3_1(a128)
        & c0_1(a128) )
      | ~ hskp4 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c3_1(X0)
            | c0_1(X0) ) )
      | hskp29
      | hskp7 )
    & ( hskp3
      | hskp1
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c0_1(X57)
            | c2_1(X57) ) ) )
    & ( ~ hskp0
      | ( ~ c1_1(a123)
        & ndr1_0
        & ~ c0_1(a123)
        & c2_1(a123) ) )
    & ( hskp12
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c0_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | c3_1(X65)
            | c1_1(X65) ) ) )
    & ( ~ hskp18
      | ( ~ c2_1(a160)
        & ~ c1_1(a160)
        & c3_1(a160)
        & ndr1_0 ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( hskp27
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | c3_1(X23)
            | ~ c1_1(X23) ) )
      | hskp19 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | ~ c1_1(X94)
            | c0_1(X94) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c0_1(X92)
            | c2_1(X92)
            | ~ c3_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c0_1(X93)
            | c1_1(X93) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c0_1(X63)
            | c2_1(X63) ) )
      | hskp1
      | hskp2 )
    & ( ~ hskp23
      | ( ~ c1_1(a179)
        & ~ c3_1(a179)
        & c2_1(a179)
        & ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c3_1(X1) ) ) )
    & ( hskp28
      | ! [X121] :
          ( ndr1_0
         => ( c2_1(X121)
            | ~ c1_1(X121)
            | c0_1(X121) ) )
      | ! [X120] :
          ( ndr1_0
         => ( ~ c0_1(X120)
            | c3_1(X120)
            | ~ c1_1(X120) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( c1_1(X109)
            | ~ c0_1(X109)
            | ~ c2_1(X109) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c0_1(X108)
            | ~ c2_1(X108)
            | c1_1(X108) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | ~ c2_1(X110)
            | ~ c3_1(X110) ) ) )
    & ( ( ndr1_0
        & ~ c2_1(a127)
        & c1_1(a127)
        & ~ c3_1(a127) )
      | ~ hskp3 )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | c0_1(X17)
            | ~ c2_1(X17) ) )
      | hskp0
      | hskp18 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | ~ c1_1(X111)
            | c0_1(X111) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c1_1(X113)
            | ~ c2_1(X113) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c2_1(X112)
            | ~ c0_1(X112) ) ) )
    & ( hskp25
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c3_1(X60)
            | ~ c0_1(X60) ) )
      | hskp6 )
    & ( ~ hskp22
      | ( c0_1(a176)
        & ndr1_0
        & ~ c2_1(a176)
        & ~ c1_1(a176) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | ~ c3_1(X72)
            | c2_1(X72) ) )
      | hskp29
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c1_1(X71)
            | c3_1(X71) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | ~ c3_1(X2)
            | ~ c1_1(X2) ) )
      | hskp22
      | hskp10 )
    & ( hskp6
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c0_1(X95)
            | c1_1(X95) ) ) )
    & ( hskp10
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | c3_1(X14)
            | c0_1(X14) ) )
      | hskp11 )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c0_1(X44)
            | ~ c1_1(X44) ) )
      | hskp0
      | hskp17 )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | ~ c1_1(X18)
            | c3_1(X18) ) )
      | hskp7
      | hskp24 )
    & ( ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c1_1(X115)
            | ~ c3_1(X115) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c2_1(X117)
            | ~ c1_1(X117) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c1_1(X116)
            | ~ c2_1(X116) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | hskp7
      | hskp22 )
    & ( ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) )
      | ! [X126] :
          ( ndr1_0
         => ( c3_1(X126)
            | ~ c1_1(X126)
            | ~ c0_1(X126) ) )
      | hskp1 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) )
      | hskp14
      | ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | c0_1(X48)
            | ~ c3_1(X48) ) ) )
    & ( hskp23
      | hskp14
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c3_1(X58) ) ) )
    & ( hskp17
      | hskp24
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | c1_1(X114)
            | ~ c0_1(X114) ) )
      | hskp3
      | hskp15 )
    & ( hskp9
      | hskp22
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | c2_1(X87)
            | ~ c1_1(X87) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c2_1(X12)
            | c3_1(X12) ) )
      | hskp24
      | hskp15 )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c0_1(X68)
            | c1_1(X68) ) )
      | hskp3 )
    & ( ( c3_1(a122)
        & ndr1_0
        & c2_1(a122)
        & c0_1(a122) )
      | ~ hskp27 )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c1_1(X31)
            | ~ c2_1(X31) ) )
      | hskp8
      | hskp9 )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) )
      | hskp11
      | hskp12 )
    & ( hskp13
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c3_1(X101)
            | c2_1(X101) ) )
      | hskp17 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c0_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c0_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | c0_1(X33)
            | ~ c1_1(X33) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | c2_1(X16)
            | ~ c1_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c2_1(X15) ) )
      | hskp0 )
    & ( hskp20
      | hskp6
      | hskp21 )
    & ( hskp27
      | hskp15
      | hskp3 )
    & ( ( ndr1_0
        & ~ c3_1(a182)
        & ~ c2_1(a182)
        & ~ c0_1(a182) )
      | ~ hskp24 )
    & ( ( ~ c3_1(a140)
        & ~ c2_1(a140)
        & c0_1(a140)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c0_1(X90)
            | c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | ~ c1_1(X91) ) )
      | hskp9 )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a164)
        & c1_1(a164)
        & ~ c2_1(a164) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp7
          | ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | hskp0 )
        & ( ( ~ c3_1(a168)
            & ndr1_0
            & ~ c0_1(a168)
            & c1_1(a168) )
          | ~ hskp20 )
        & ( hskp19
          | hskp2
          | ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c1_1(X119)
                | ~ c3_1(X119) ) ) )
        & ( hskp7
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | c3_1(X13) ) )
          | hskp9 )
        & ( hskp27
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c2_1(X81)
                | c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | ~ c3_1(X30) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c0_1(X73)
                | c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp8 )
        & ( ~ hskp21
          | ( ~ c1_1(a170)
            & c2_1(a170)
            & c0_1(a170)
            & ndr1_0 ) )
        & ( hskp8
          | hskp2
          | hskp19 )
        & ( hskp22
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | hskp30
          | hskp20 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c0_1(X104)
                | ~ c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c1_1(X105)
                | c0_1(X105) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c0_1(X103)
                | c1_1(X103) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) )
          | hskp3
          | hskp13 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c0_1(X69)
                | ~ c3_1(X69) ) )
          | hskp12
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c2_1(X70)
                | c3_1(X70) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a134)
            & c2_1(a134)
            & ~ c0_1(a134) )
          | ~ hskp8 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) )
          | hskp27
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c0_1(X98)
                | c3_1(X98) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c0_1(X43)
                | c2_1(X43) ) ) )
        & ( hskp8
          | hskp23
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c3_1(X55)
                | c1_1(X55) ) ) )
        & ( ( c0_1(a225)
            & ndr1_0
            & c2_1(a225)
            & ~ c3_1(a225) )
          | ~ hskp26 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) ) )
        & ( hskp7
          | hskp29
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c2_1(X56)
                | c3_1(X56) ) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c3_1(a141)
            & ~ c2_1(a141)
            & ~ c1_1(a141) ) )
        & ( ~ hskp7
          | ( ~ c2_1(a132)
            & ~ c0_1(a132)
            & ndr1_0
            & c3_1(a132) ) )
        & ( hskp16
          | hskp2
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) ) )
        & ( ~ hskp30
          | ( c0_1(a167)
            & c1_1(a167)
            & c3_1(a167)
            & ndr1_0 ) )
        & ( hskp30
          | hskp6
          | hskp9 )
        & ( hskp3
          | hskp28
          | ! [X118] :
              ( ndr1_0
             => ( c0_1(X118)
                | ~ c1_1(X118)
                | c2_1(X118) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c0_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c3_1(X40)
                | c2_1(X40) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c3_1(X25)
                | ~ c2_1(X25) ) )
          | hskp6
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c3_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c1_1(X53)
                | c0_1(X53) ) )
          | hskp4
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c0_1(X52)
                | c2_1(X52) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ( c2_1(a153)
            & ~ c0_1(a153)
            & c3_1(a153)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ndr1_0
            & ~ c1_1(a147)
            & ~ c3_1(a147)
            & c0_1(a147) )
          | ~ hskp14 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) ) )
        & ( ~ hskp2
          | ( c2_1(a125)
            & ~ c0_1(a125)
            & ndr1_0
            & c1_1(a125) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c1_1(X24)
                | c2_1(X24) ) )
          | hskp17
          | hskp19 )
        & ( ( ~ c1_1(a131)
            & ~ c0_1(a131)
            & ndr1_0
            & ~ c2_1(a131) )
          | ~ hskp6 )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) ) )
        & ( hskp7
          | ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp14 )
        & ( ( ndr1_0
            & c2_1(a143)
            & c3_1(a143)
            & ~ c1_1(a143) )
          | ~ hskp13 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | ~ c3_1(X22) ) )
          | hskp16 )
        & ( ( ndr1_0
            & c1_1(a154)
            & c3_1(a154)
            & ~ c0_1(a154) )
          | ~ hskp16 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c0_1(X106)
                | ~ c3_1(X106)
                | c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) )
          | hskp7 )
        & ( hskp10
          | hskp18
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) ) )
        & ( hskp20
          | hskp26
          | hskp15 )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c3_1(a124)
            & c1_1(a124)
            & c2_1(a124) ) )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | c1_1(X122)
                | ~ c2_1(X122) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c1_1(X124)
                | ~ c3_1(X124)
                | c2_1(X124) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | c0_1(X123)
                | c1_1(X123) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | c3_1(X8) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c3_1(X7)
                | ~ c1_1(X7) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c0_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c0_1(X88) ) )
          | hskp13 )
        & ( ( ~ c2_1(a155)
            & ndr1_0
            & c1_1(a155)
            & ~ c0_1(a155) )
          | ~ hskp17 )
        & ( ~ hskp28
          | ( c1_1(a133)
            & c2_1(a133)
            & ndr1_0
            & c3_1(a133) ) )
        & ( ( ~ c0_1(a189)
            & c3_1(a189)
            & ~ c1_1(a189)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ~ hskp5
          | ( ~ c1_1(a130)
            & ~ c3_1(a130)
            & ndr1_0
            & ~ c0_1(a130) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c2_1(a136)
            & c1_1(a136)
            & c0_1(a136) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a142)
            & c3_1(a142)
            & ~ c1_1(a142) ) )
        & ( hskp10
          | hskp15
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c0_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c0_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | hskp7 )
        & ( hskp6
          | hskp21
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c3_1(X99)
                | c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c0_1(X100)
                | ~ c1_1(X100)
                | c2_1(X100) ) )
          | hskp12 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) )
          | hskp5 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c0_1(X35)
                | c2_1(X35) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c1_1(X37)
                | c2_1(X37) ) ) )
        & ( hskp13
          | hskp15
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c3_1(X66)
                | c2_1(X66) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c0_1(X59)
                | ~ c2_1(X59) ) )
          | hskp25
          | hskp14 )
        & ( hskp13
          | hskp12
          | hskp19 )
        & ( ( c1_1(a128)
            & ndr1_0
            & ~ c3_1(a128)
            & c0_1(a128) )
          | ~ hskp4 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c3_1(X0)
                | c0_1(X0) ) )
          | hskp29
          | hskp7 )
        & ( hskp3
          | hskp1
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | c2_1(X57) ) ) )
        & ( ~ hskp0
          | ( ~ c1_1(a123)
            & ndr1_0
            & ~ c0_1(a123)
            & c2_1(a123) ) )
        & ( hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( ~ hskp18
          | ( ~ c2_1(a160)
            & ~ c1_1(a160)
            & c3_1(a160)
            & ndr1_0 ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a138)
            & c1_1(a138)
            & ~ c2_1(a138) ) )
        & ( hskp27
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c3_1(X23)
                | ~ c1_1(X23) ) )
          | hskp19 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | ~ c1_1(X94)
                | c0_1(X94) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c0_1(X92)
                | c2_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c0_1(X93)
                | c1_1(X93) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c0_1(X63)
                | c2_1(X63) ) )
          | hskp1
          | hskp2 )
        & ( ~ hskp23
          | ( ~ c1_1(a179)
            & ~ c3_1(a179)
            & c2_1(a179)
            & ndr1_0 ) )
        & ( hskp8
          | hskp28
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c3_1(X1) ) ) )
        & ( hskp28
          | ! [X121] :
              ( ndr1_0
             => ( c2_1(X121)
                | ~ c1_1(X121)
                | c0_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | c3_1(X120)
                | ~ c1_1(X120) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( c1_1(X109)
                | ~ c0_1(X109)
                | ~ c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c0_1(X108)
                | ~ c2_1(X108)
                | c1_1(X108) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c2_1(X110)
                | ~ c3_1(X110) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a127)
            & c1_1(a127)
            & ~ c3_1(a127) )
          | ~ hskp3 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c0_1(X17)
                | ~ c2_1(X17) ) )
          | hskp0
          | hskp18 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c1_1(X111)
                | c0_1(X111) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c1_1(X113)
                | ~ c2_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp25
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c3_1(X60)
                | ~ c0_1(X60) ) )
          | hskp6 )
        & ( ~ hskp22
          | ( c0_1(a176)
            & ndr1_0
            & ~ c2_1(a176)
            & ~ c1_1(a176) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c3_1(X72)
                | c2_1(X72) ) )
          | hskp29
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c3_1(X2)
                | ~ c1_1(X2) ) )
          | hskp22
          | hskp10 )
        & ( hskp6
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp10
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c3_1(X14)
                | c0_1(X14) ) )
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c0_1(X44)
                | ~ c1_1(X44) ) )
          | hskp0
          | hskp17 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c1_1(X18)
                | c3_1(X18) ) )
          | hskp7
          | hskp24 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c2_1(X117)
                | ~ c1_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c1_1(X116)
                | ~ c2_1(X116) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp7
          | hskp22 )
        & ( ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) )
          | ! [X126] :
              ( ndr1_0
             => ( c3_1(X126)
                | ~ c1_1(X126)
                | ~ c0_1(X126) ) )
          | hskp1 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) )
          | hskp14
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c0_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( hskp23
          | hskp14
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c3_1(X58) ) ) )
        & ( hskp17
          | hskp24
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | c1_1(X114)
                | ~ c0_1(X114) ) )
          | hskp3
          | hskp15 )
        & ( hskp9
          | hskp22
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c2_1(X87)
                | ~ c1_1(X87) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) )
          | hskp24
          | hskp15 )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c0_1(X68)
                | c1_1(X68) ) )
          | hskp3 )
        & ( ( c3_1(a122)
            & ndr1_0
            & c2_1(a122)
            & c0_1(a122) )
          | ~ hskp27 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | ~ c2_1(X31) ) )
          | hskp8
          | hskp9 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) )
          | hskp11
          | hskp12 )
        & ( hskp13
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c3_1(X101)
                | c2_1(X101) ) )
          | hskp17 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c0_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c0_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c0_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c2_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c2_1(X15) ) )
          | hskp0 )
        & ( hskp20
          | hskp6
          | hskp21 )
        & ( hskp27
          | hskp15
          | hskp3 )
        & ( ( ndr1_0
            & ~ c3_1(a182)
            & ~ c2_1(a182)
            & ~ c0_1(a182) )
          | ~ hskp24 )
        & ( ( ~ c3_1(a140)
            & ~ c2_1(a140)
            & c0_1(a140)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | ~ c1_1(X91) ) )
          | hskp9 )
        & ( ~ hskp19
          | ( ndr1_0
            & c3_1(a164)
            & c1_1(a164)
            & ~ c2_1(a164) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp29
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp28
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c1_1(X37)
                | c0_1(X37) ) )
          | hskp8 )
        & ( hskp22
          | hskp10
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c0_1(X123)
                | ~ c1_1(X123) ) ) )
        & ( ( c1_1(a128)
            & ndr1_0
            & ~ c3_1(a128)
            & c0_1(a128) )
          | ~ hskp4 )
        & ( ~ hskp2
          | ( c2_1(a125)
            & ~ c0_1(a125)
            & ndr1_0
            & c1_1(a125) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c0_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c3_1(X29) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c3_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( ~ hskp0
          | ( ~ c1_1(a123)
            & ndr1_0
            & ~ c0_1(a123)
            & c2_1(a123) ) )
        & ( ( c0_1(a225)
            & ndr1_0
            & c2_1(a225)
            & ~ c3_1(a225) )
          | ~ hskp26 )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c1_1(X86)
                | c3_1(X86) ) )
          | hskp16 )
        & ( ( c3_1(a122)
            & ndr1_0
            & c2_1(a122)
            & c0_1(a122) )
          | ~ hskp27 )
        & ( ~ hskp7
          | ( ~ c2_1(a132)
            & ~ c0_1(a132)
            & ndr1_0
            & c3_1(a132) ) )
        & ( ( ~ c3_1(a140)
            & ~ c2_1(a140)
            & c0_1(a140)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | hskp5
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c0_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a138)
            & c1_1(a138)
            & ~ c2_1(a138) ) )
        & ( hskp24
          | hskp15
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) )
          | hskp9
          | hskp7 )
        & ( hskp8
          | hskp2
          | hskp19 )
        & ( hskp11
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | hskp10 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) )
          | hskp0
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | ~ c1_1(X12) ) ) )
        & ( hskp0
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c0_1(X83)
                | ~ c3_1(X83) ) )
          | hskp18 )
        & ( hskp24
          | ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) )
          | hskp7 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c3_1(X63)
                | c0_1(X63) ) )
          | hskp15
          | hskp10 )
        & ( ~ hskp5
          | ( ~ c1_1(a130)
            & ~ c3_1(a130)
            & ndr1_0
            & ~ c0_1(a130) ) )
        & ( ( ndr1_0
            & ~ c3_1(a182)
            & ~ c2_1(a182)
            & ~ c0_1(a182) )
          | ~ hskp24 )
        & ( hskp7
          | hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | ~ c2_1(X102) ) ) )
        & ( hskp16
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c3_1(X68)
                | ~ c2_1(X68) ) ) )
        & ( hskp27
          | hskp19
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c3_1(X119)
                | ~ c2_1(X119) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | c2_1(X87) ) )
          | hskp19
          | hskp17 )
        & ( hskp6
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c3_1(X91)
                | c2_1(X91) ) ) )
        & ( ( ndr1_0
            & ~ c3_1(a134)
            & c2_1(a134)
            & ~ c0_1(a134) )
          | ~ hskp8 )
        & ( ( ~ c0_1(a189)
            & c3_1(a189)
            & ~ c1_1(a189)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | hskp6
          | hskp21 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c2_1(X88) ) ) )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c2_1(X125)
                | ~ c1_1(X125)
                | ~ c3_1(X125) ) )
          | hskp9
          | hskp8 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c2_1(X45) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp20
          | hskp6
          | hskp21 )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c3_1(a141)
            & ~ c2_1(a141)
            & ~ c1_1(a141) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c2_1(X8)
                | c3_1(X8) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | c1_1(X6) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c0_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c2_1(X0)
                | c1_1(X0) ) ) )
        & ( hskp17
          | ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c3_1(X78)
                | ~ c1_1(X78) ) )
          | hskp0 )
        & ( hskp17
          | hskp24
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c3_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp30
          | hskp6
          | hskp9 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | c3_1(X120)
                | ~ c2_1(X120) ) )
          | hskp22 )
        & ( ~ hskp21
          | ( ~ c1_1(a170)
            & c2_1(a170)
            & c0_1(a170)
            & ndr1_0 ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c0_1(X54)
                | c3_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp14 )
        & ( ( ndr1_0
            & ~ c1_1(a147)
            & ~ c3_1(a147)
            & c0_1(a147) )
          | ~ hskp14 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c2_1(X75)
                | c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp13
          | hskp12
          | hskp19 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c0_1(X19)
                | c2_1(X19) ) )
          | hskp4
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c0_1(X18)
                | c1_1(X18) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | c2_1(X111) ) )
          | hskp18
          | hskp10 )
        & ( hskp23
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp8 )
        & ( ( c2_1(a153)
            & ~ c0_1(a153)
            & c3_1(a153)
            & ndr1_0 )
          | ~ hskp15 )
        & ( hskp29
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c0_1(X40)
                | c2_1(X40) ) )
          | hskp7 )
        & ( hskp1
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c3_1(X112)
                | c2_1(X112) ) )
          | hskp3 )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a142)
            & c3_1(a142)
            & ~ c1_1(a142) ) )
        & ( hskp14
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | c3_1(X121) ) )
          | hskp23 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c0_1(X122)
                | ~ c1_1(X122) ) )
          | hskp14
          | hskp25 )
        & ( hskp25
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c3_1(X113) ) )
          | hskp6 )
        & ( ( ndr1_0
            & c1_1(a154)
            & c3_1(a154)
            & ~ c0_1(a154) )
          | ~ hskp16 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c1_1(X94)
                | ~ c3_1(X94) ) )
          | hskp7 )
        & ( hskp1
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | hskp2 )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) )
          | hskp12 )
        & ( ( ndr1_0
            & c2_1(a143)
            & c3_1(a143)
            & ~ c1_1(a143) )
          | ~ hskp13 )
        & ( hskp13
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | c2_1(X116) ) )
          | hskp15 )
        & ( ~ hskp29
          | ( ndr1_0
            & c2_1(a136)
            & c1_1(a136)
            & c0_1(a136) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c2_1(X17)
                | c3_1(X17) ) )
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c0_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp12 )
        & ( hskp29
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c1_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) ) )
        & ( hskp8
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c0_1(X39) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a127)
            & c1_1(a127)
            & ~ c3_1(a127) )
          | ~ hskp3 )
        & ( hskp3
          | ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c3_1(X126)
                | ~ c2_1(X126) ) )
          | hskp13 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | hskp20
          | hskp30 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | c2_1(X62) ) )
          | hskp14
          | hskp7 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c0_1(X23)
                | ~ c2_1(X23) ) )
          | hskp27 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c3_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | c0_1(X79) ) ) )
        & ( ( ~ c2_1(a155)
            & ndr1_0
            & c1_1(a155)
            & ~ c0_1(a155) )
          | ~ hskp17 )
        & ( hskp11
          | hskp12
          | ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | c3_1(X117)
                | ~ c1_1(X117) ) ) )
        & ( hskp9
          | hskp22
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | c1_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c0_1(X48)
                | ~ c1_1(X48) ) )
          | hskp13 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | hskp9
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | ~ c1_1(X4)
                | c0_1(X4) ) ) )
        & ( ~ hskp28
          | ( c1_1(a133)
            & c2_1(a133)
            & ndr1_0
            & c3_1(a133) ) )
        & ( ~ hskp23
          | ( ~ c1_1(a179)
            & ~ c3_1(a179)
            & c2_1(a179)
            & ndr1_0 ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c1_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c3_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c0_1(X10) ) )
          | hskp27 )
        & ( ( ~ c1_1(a131)
            & ~ c0_1(a131)
            & ndr1_0
            & ~ c2_1(a131) )
          | ~ hskp6 )
        & ( ~ hskp30
          | ( c0_1(a167)
            & c1_1(a167)
            & c3_1(a167)
            & ndr1_0 ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c3_1(X47)
                | c2_1(X47) ) )
          | hskp12
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c1_1(X46) ) ) )
        & ( hskp20
          | hskp26
          | hskp15 )
        & ( hskp17
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | c2_1(X114)
                | ~ c1_1(X114) ) )
          | hskp13 )
        & ( hskp7
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | ~ c0_1(X98) ) )
          | hskp0 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c0_1(X57)
                | c1_1(X57) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp7
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c0_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c2_1(X20)
                | c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | ~ c2_1(X65) ) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c3_1(a164)
            & c1_1(a164)
            & ~ c2_1(a164) ) )
        & ( ( ~ c3_1(a168)
            & ndr1_0
            & ~ c0_1(a168)
            & c1_1(a168) )
          | ~ hskp20 )
        & ( ~ hskp18
          | ( ~ c2_1(a160)
            & ~ c1_1(a160)
            & c3_1(a160)
            & ndr1_0 ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c3_1(X97)
                | c1_1(X97) ) )
          | hskp3
          | hskp15 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c3_1(X100) ) ) )
        & ( ~ hskp22
          | ( c0_1(a176)
            & ndr1_0
            & ~ c2_1(a176)
            & ~ c1_1(a176) ) )
        & ( hskp28
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | hskp3 )
        & ( hskp2
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c0_1(X124)
                | ~ c3_1(X124) ) )
          | hskp19 )
        & ( hskp27
          | hskp15
          | hskp3 )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c3_1(a124)
            & c1_1(a124)
            & c2_1(a124) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) )
          | hskp28
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c0_1(X50)
                | ~ c1_1(X50) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c2_1(X31)
                | ~ c3_1(X31) ) ) )
        & ( hskp1
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp29
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp28
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c1_1(X37)
              | c0_1(X37) ) )
        | hskp8 )
      & ( hskp22
        | hskp10
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c0_1(X123)
              | ~ c1_1(X123) ) ) )
      & ( ( c1_1(a128)
          & ndr1_0
          & ~ c3_1(a128)
          & c0_1(a128) )
        | ~ hskp4 )
      & ( ~ hskp2
        | ( c2_1(a125)
          & ~ c0_1(a125)
          & ndr1_0
          & c1_1(a125) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c0_1(X27)
              | c1_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c0_1(X28)
              | c2_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | c3_1(X29) ) ) )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c3_1(X108)
              | ~ c1_1(X108) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( ~ hskp0
        | ( ~ c1_1(a123)
          & ndr1_0
          & ~ c0_1(a123)
          & c2_1(a123) ) )
      & ( ( c0_1(a225)
          & ndr1_0
          & c2_1(a225)
          & ~ c3_1(a225) )
        | ~ hskp26 )
      & ( hskp2
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c1_1(X86)
              | c3_1(X86) ) )
        | hskp16 )
      & ( ( c3_1(a122)
          & ndr1_0
          & c2_1(a122)
          & c0_1(a122) )
        | ~ hskp27 )
      & ( ~ hskp7
        | ( ~ c2_1(a132)
          & ~ c0_1(a132)
          & ndr1_0
          & c3_1(a132) ) )
      & ( ( ~ c3_1(a140)
          & ~ c2_1(a140)
          & c0_1(a140)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | hskp5
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c0_1(X25)
              | ~ c2_1(X25) ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a138)
          & c1_1(a138)
          & ~ c2_1(a138) ) )
      & ( hskp24
        | hskp15
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) )
        | hskp9
        | hskp7 )
      & ( hskp8
        | hskp2
        | hskp19 )
      & ( hskp11
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | hskp10 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | c2_1(X11)
              | c0_1(X11) ) )
        | hskp0
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | ~ c1_1(X12) ) ) )
      & ( hskp0
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | c0_1(X83)
              | ~ c3_1(X83) ) )
        | hskp18 )
      & ( hskp24
        | ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) )
        | hskp7 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | ~ c3_1(X63)
              | c0_1(X63) ) )
        | hskp15
        | hskp10 )
      & ( ~ hskp5
        | ( ~ c1_1(a130)
          & ~ c3_1(a130)
          & ndr1_0
          & ~ c0_1(a130) ) )
      & ( ( ndr1_0
          & ~ c3_1(a182)
          & ~ c2_1(a182)
          & ~ c0_1(a182) )
        | ~ hskp24 )
      & ( hskp7
        | hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | c1_1(X102)
              | ~ c2_1(X102) ) ) )
      & ( hskp16
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c3_1(X68)
              | ~ c2_1(X68) ) ) )
      & ( hskp27
        | hskp19
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | c3_1(X119)
              | ~ c2_1(X119) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | c2_1(X87) ) )
        | hskp19
        | hskp17 )
      & ( hskp6
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c3_1(X91)
              | c2_1(X91) ) ) )
      & ( ( ndr1_0
          & ~ c3_1(a134)
          & c2_1(a134)
          & ~ c0_1(a134) )
        | ~ hskp8 )
      & ( ( ~ c0_1(a189)
          & c3_1(a189)
          & ~ c1_1(a189)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) )
        | hskp6
        | hskp21 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c1_1(X88)
              | c2_1(X88) ) ) )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c2_1(X125)
              | ~ c1_1(X125)
              | ~ c3_1(X125) ) )
        | hskp9
        | hskp8 )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c0_1(X45)
              | c2_1(X45) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp20
        | hskp6
        | hskp21 )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c3_1(a141)
          & ~ c2_1(a141)
          & ~ c1_1(a141) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | c2_1(X8)
              | c3_1(X8) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | c1_1(X6) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c1_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c0_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | c2_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c2_1(X0)
              | c1_1(X0) ) ) )
      & ( hskp17
        | ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c3_1(X78)
              | ~ c1_1(X78) ) )
        | hskp0 )
      & ( hskp17
        | hskp24
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c3_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp30
        | hskp6
        | hskp9 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | c3_1(X120)
              | ~ c2_1(X120) ) )
        | hskp22 )
      & ( ~ hskp21
        | ( ~ c1_1(a170)
          & c2_1(a170)
          & c0_1(a170)
          & ndr1_0 ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c0_1(X54)
              | c3_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp14 )
      & ( ( ndr1_0
          & ~ c1_1(a147)
          & ~ c3_1(a147)
          & c0_1(a147) )
        | ~ hskp14 )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c2_1(X75)
              | c0_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp13
        | hskp12
        | hskp19 )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c0_1(X19)
              | c2_1(X19) ) )
        | hskp4
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c0_1(X18)
              | c1_1(X18) ) ) )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | c2_1(X111) ) )
        | hskp18
        | hskp10 )
      & ( hskp23
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp8 )
      & ( ( c2_1(a153)
          & ~ c0_1(a153)
          & c3_1(a153)
          & ndr1_0 )
        | ~ hskp15 )
      & ( hskp29
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c0_1(X40)
              | c2_1(X40) ) )
        | hskp7 )
      & ( hskp1
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c3_1(X112)
              | c2_1(X112) ) )
        | hskp3 )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a142)
          & c3_1(a142)
          & ~ c1_1(a142) ) )
      & ( hskp14
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | c3_1(X121) ) )
        | hskp23 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c2_1(X122)
              | ~ c0_1(X122)
              | ~ c1_1(X122) ) )
        | hskp14
        | hskp25 )
      & ( hskp25
        | ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c3_1(X113) ) )
        | hskp6 )
      & ( ( ndr1_0
          & c1_1(a154)
          & c3_1(a154)
          & ~ c0_1(a154) )
        | ~ hskp16 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c1_1(X94)
              | ~ c3_1(X94) ) )
        | hskp7 )
      & ( hskp1
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | hskp2 )
      & ( ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) )
        | hskp12 )
      & ( ( ndr1_0
          & c2_1(a143)
          & c3_1(a143)
          & ~ c1_1(a143) )
        | ~ hskp13 )
      & ( hskp13
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | c2_1(X116) ) )
        | hskp15 )
      & ( ~ hskp29
        | ( ndr1_0
          & c2_1(a136)
          & c1_1(a136)
          & c0_1(a136) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c2_1(X17)
              | c3_1(X17) ) )
        | hskp3
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | c0_1(X16)
              | c3_1(X16) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | ~ c2_1(X61) ) )
        | hskp12 )
      & ( hskp29
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c1_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) ) )
      & ( hskp8
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | ~ c0_1(X39) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a127)
          & c1_1(a127)
          & ~ c3_1(a127) )
        | ~ hskp3 )
      & ( hskp3
        | ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c3_1(X126)
              | ~ c2_1(X126) ) )
        | hskp13 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c1_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c0_1(X72) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) )
        | hskp20
        | hskp30 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c3_1(X62)
              | c2_1(X62) ) )
        | hskp14
        | hskp7 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | ~ c2_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c0_1(X23)
              | ~ c2_1(X23) ) )
        | hskp27 )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c3_1(X81)
              | ~ c1_1(X81) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c3_1(X79)
              | c0_1(X79) ) ) )
      & ( ( ~ c2_1(a155)
          & ndr1_0
          & c1_1(a155)
          & ~ c0_1(a155) )
        | ~ hskp17 )
      & ( hskp11
        | hskp12
        | ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | c3_1(X117)
              | ~ c1_1(X117) ) ) )
      & ( hskp9
        | hskp22
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c2_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | c1_1(X49)
              | ~ c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | c0_1(X48)
              | ~ c1_1(X48) ) )
        | hskp13 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | hskp9
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | ~ c1_1(X4)
              | c0_1(X4) ) ) )
      & ( ~ hskp28
        | ( c1_1(a133)
          & c2_1(a133)
          & ndr1_0
          & c3_1(a133) ) )
      & ( ~ hskp23
        | ( ~ c1_1(a179)
          & ~ c3_1(a179)
          & c2_1(a179)
          & ndr1_0 ) )
      & ( hskp6
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c1_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c3_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c2_1(X9)
              | c1_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c3_1(X10)
              | c0_1(X10) ) )
        | hskp27 )
      & ( ( ~ c1_1(a131)
          & ~ c0_1(a131)
          & ndr1_0
          & ~ c2_1(a131) )
        | ~ hskp6 )
      & ( ~ hskp30
        | ( c0_1(a167)
          & c1_1(a167)
          & c3_1(a167)
          & ndr1_0 ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c3_1(X47)
              | c2_1(X47) ) )
        | hskp12
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c1_1(X46) ) ) )
      & ( hskp20
        | hskp26
        | hskp15 )
      & ( hskp17
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | c2_1(X114)
              | ~ c1_1(X114) ) )
        | hskp13 )
      & ( hskp7
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | c1_1(X98)
              | ~ c0_1(X98) ) )
        | hskp0 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c0_1(X57)
              | c1_1(X57) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp7
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c0_1(X35)
              | c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | ~ c0_1(X36) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c2_1(X20)
              | c0_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c0_1(X21)
              | c1_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | c3_1(X65)
              | ~ c2_1(X65) ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c3_1(a164)
          & c1_1(a164)
          & ~ c2_1(a164) ) )
      & ( ( ~ c3_1(a168)
          & ndr1_0
          & ~ c0_1(a168)
          & c1_1(a168) )
        | ~ hskp20 )
      & ( ~ hskp18
        | ( ~ c2_1(a160)
          & ~ c1_1(a160)
          & c3_1(a160)
          & ndr1_0 ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c3_1(X97)
              | c1_1(X97) ) )
        | hskp3
        | hskp15 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | ~ c1_1(X100)
              | c3_1(X100) ) ) )
      & ( ~ hskp22
        | ( c0_1(a176)
          & ndr1_0
          & ~ c2_1(a176)
          & ~ c1_1(a176) ) )
      & ( hskp28
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | c2_1(X52) ) )
        | hskp3 )
      & ( hskp2
        | ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c0_1(X124)
              | ~ c3_1(X124) ) )
        | hskp19 )
      & ( hskp27
        | hskp15
        | hskp3 )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c3_1(a124)
          & c1_1(a124)
          & c2_1(a124) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) )
        | hskp28
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c0_1(X50)
              | ~ c1_1(X50) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c2_1(X31)
              | ~ c3_1(X31) ) ) )
      & ( hskp1
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c3_1(X14) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1039,plain,
    ( spl0_155
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f94,f331,f1036]) ).

fof(f331,plain,
    ( spl0_20
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f94,plain,
    ( ~ hskp8
    | c2_1(a134) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1034,plain,
    ( spl0_1
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f24,f452,f250]) ).

fof(f250,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f452,plain,
    ( spl0_47
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f24,plain,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1033,plain,
    ( spl0_4
    | ~ spl0_1
    | spl0_69
    | spl0_98 ),
    inference(avatar_split_clause,[],[f212,f705,f551,f250,f262]) ).

fof(f212,plain,
    ! [X46,X47,X45] :
      ( ~ c3_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | ~ c1_1(X45)
      | ~ c0_1(X46)
      | ~ c0_1(X45)
      | c1_1(X46)
      | c0_1(X47)
      | c2_1(X46) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X46,X47,X45] :
      ( ~ c2_1(X47)
      | ~ c0_1(X46)
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | c2_1(X46)
      | ~ c0_1(X45)
      | c0_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X47)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1027,plain,
    ( spl0_1
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f191,f739,f250]) ).

fof(f739,plain,
    ( spl0_105
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f191,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1026,plain,
    ( ~ spl0_153
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f26,f452,f1023]) ).

fof(f26,plain,
    ( ~ hskp15
    | ~ c0_1(a153) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1016,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_67
    | spl0_47 ),
    inference(avatar_split_clause,[],[f118,f452,f542,f276,f250]) ).

fof(f276,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f118,plain,
    ! [X58] :
      ( hskp15
      | c1_1(X58)
      | hskp3
      | ~ c0_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1015,plain,
    ( spl0_151
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f56,f389,f1012]) ).

fof(f389,plain,
    ( spl0_33
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f56,plain,
    ( ~ hskp12
    | c3_1(a142) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1010,plain,
    ( ~ spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f77,f250,f340]) ).

fof(f340,plain,
    ( spl0_22
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f77,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1009,plain,
    ( ~ spl0_150
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f136,f380,f1006]) ).

fof(f380,plain,
    ( spl0_31
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f136,plain,
    ( ~ hskp11
    | ~ c1_1(a141) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f999,plain,
    ( ~ spl0_1
    | spl0_73
    | spl0_40
    | spl0_39 ),
    inference(avatar_split_clause,[],[f213,f414,f418,f570,f250]) ).

fof(f213,plain,
    ! [X10,X11,X12] :
      ( c3_1(X11)
      | ~ c3_1(X12)
      | ~ c3_1(X10)
      | c2_1(X12)
      | c2_1(X10)
      | c2_1(X11)
      | c1_1(X10)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X10,X11,X12] :
      ( c2_1(X11)
      | c1_1(X10)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c3_1(X12)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | c2_1(X12)
      | ~ ndr1_0
      | c3_1(X11)
      | c2_1(X10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f993,plain,
    ( ~ spl0_11
    | spl0_147 ),
    inference(avatar_split_clause,[],[f176,f990,f294]) ).

fof(f176,plain,
    ( c3_1(a133)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f983,plain,
    ( ~ spl0_60
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f82,f980,f510]) ).

fof(f510,plain,
    ( spl0_60
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f82,plain,
    ( ~ c3_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f978,plain,
    ( spl0_144
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f85,f258,f975]) ).

fof(f258,plain,
    ( spl0_3
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f85,plain,
    ( ~ hskp17
    | c1_1(a155) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f972,plain,
    ( ~ spl0_143
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f172,f299,f969]) ).

fof(f299,plain,
    ( spl0_12
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f172,plain,
    ( ~ hskp13
    | ~ c1_1(a143) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f966,plain,
    ( spl0_68
    | spl0_6
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f22,f250,f601,f271,f547]) ).

fof(f547,plain,
    ( spl0_68
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f271,plain,
    ( spl0_6
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f22,plain,
    ! [X118] :
      ( ~ ndr1_0
      | c1_1(X118)
      | hskp7
      | ~ c3_1(X118)
      | ~ c2_1(X118)
      | hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f960,plain,
    ( spl0_18
    | ~ spl0_1
    | spl0_6
    | spl0_98 ),
    inference(avatar_split_clause,[],[f88,f705,f271,f250,f321]) ).

fof(f321,plain,
    ( spl0_18
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f88,plain,
    ! [X72] :
      ( c0_1(X72)
      | hskp7
      | ~ c2_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X72)
      | hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f956,plain,
    ( ~ spl0_60
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f81,f953,f510]) ).

fof(f81,plain,
    ( ~ c2_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f951,plain,
    ( ~ spl0_1
    | spl0_33
    | spl0_34
    | spl0_14 ),
    inference(avatar_split_clause,[],[f219,f307,f393,f389,f250]) ).

fof(f219,plain,
    ! [X80,X81] :
      ( c2_1(X80)
      | c0_1(X80)
      | c0_1(X81)
      | ~ c1_1(X80)
      | ~ c3_1(X81)
      | c2_1(X81)
      | hskp12
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f72,plain,
    ! [X80,X81] :
      ( ~ ndr1_0
      | hskp12
      | c0_1(X80)
      | ~ c1_1(X80)
      | ~ c3_1(X81)
      | c0_1(X81)
      | c2_1(X80)
      | ~ ndr1_0
      | c2_1(X81) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f945,plain,
    ( ~ spl0_1
    | spl0_47
    | spl0_32
    | spl0_12 ),
    inference(avatar_split_clause,[],[f16,f299,f385,f452,f250]) ).

fof(f16,plain,
    ! [X126] :
      ( hskp13
      | ~ c3_1(X126)
      | c2_1(X126)
      | hskp15
      | ~ c1_1(X126)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f938,plain,
    ( ~ spl0_6
    | spl0_138 ),
    inference(avatar_split_clause,[],[f181,f935,f271]) ).

fof(f181,plain,
    ( c3_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f930,plain,
    ( ~ spl0_137
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f55,f389,f927]) ).

fof(f55,plain,
    ( ~ hskp12
    | ~ c1_1(a142) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f925,plain,
    ( spl0_136
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f145,f254,f922]) ).

fof(f254,plain,
    ( spl0_2
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f145,plain,
    ( ~ hskp19
    | c3_1(a164) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f919,plain,
    ( spl0_135
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f13,f276,f916]) ).

fof(f13,plain,
    ( ~ hskp3
    | c1_1(a127) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f903,plain,
    ( ~ spl0_132
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f95,f331,f900]) ).

fof(f95,plain,
    ( ~ hskp8
    | ~ c3_1(a134) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f898,plain,
    ( spl0_6
    | spl0_59
    | ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f28,f326,f250,f506,f271]) ).

fof(f326,plain,
    ( spl0_19
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f28,plain,
    ! [X114] :
      ( hskp9
      | ~ ndr1_0
      | c3_1(X114)
      | hskp7
      | c0_1(X114)
      | c2_1(X114) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f891,plain,
    ( spl0_3
    | spl0_60
    | ~ spl0_1
    | spl0_32 ),
    inference(avatar_split_clause,[],[f153,f385,f250,f510,f258]) ).

fof(f153,plain,
    ! [X29] :
      ( ~ c3_1(X29)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c1_1(X29)
      | hskp24
      | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f890,plain,
    ( ~ spl0_68
    | spl0_130 ),
    inference(avatar_split_clause,[],[f122,f887,f547]) ).

fof(f122,plain,
    ( c0_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f884,plain,
    ( spl0_129
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f126,f559,f881]) ).

fof(f559,plain,
    ( spl0_71
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f126,plain,
    ( ~ hskp0
    | c2_1(a123) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f879,plain,
    ( ~ spl0_1
    | spl0_74
    | spl0_39
    | spl0_32 ),
    inference(avatar_split_clause,[],[f222,f385,f414,f573,f250]) ).

fof(f222,plain,
    ! [X36,X37,X35] :
      ( c2_1(X35)
      | c2_1(X37)
      | ~ c3_1(X35)
      | c3_1(X36)
      | ~ c1_1(X35)
      | c3_1(X37)
      | ~ c2_1(X36)
      | c0_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X36,X37,X35] :
      ( ~ ndr1_0
      | ~ c1_1(X37)
      | ~ c3_1(X35)
      | c0_1(X36)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X37)
      | ~ c2_1(X36)
      | ~ c1_1(X35)
      | c3_1(X36)
      | c3_1(X37) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f871,plain,
    ( spl0_80
    | ~ spl0_1
    | spl0_4
    | spl0_34 ),
    inference(avatar_split_clause,[],[f223,f393,f262,f250,f605]) ).

fof(f223,plain,
    ! [X24,X25,X23] :
      ( c2_1(X23)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | c0_1(X23)
      | c0_1(X24)
      | ~ c3_1(X23)
      | ~ c2_1(X24)
      | ~ c1_1(X24)
      | c2_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X24,X25,X23] :
      ( ~ c1_1(X24)
      | ~ ndr1_0
      | c2_1(X23)
      | c0_1(X23)
      | c1_1(X25)
      | c0_1(X24)
      | c2_1(X25)
      | ~ c3_1(X23)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f870,plain,
    ( ~ spl0_20
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f93,f867,f331]) ).

fof(f93,plain,
    ( ~ c0_1(a134)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( ~ spl0_19
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f89,f857,f326]) ).

fof(f89,plain,
    ( ~ c2_1(a138)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f843,plain,
    ( spl0_122
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f91,f326,f840]) ).

fof(f91,plain,
    ( ~ hskp9
    | c0_1(a138) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f830,plain,
    ( ~ spl0_47
    | spl0_119 ),
    inference(avatar_split_clause,[],[f25,f827,f452]) ).

fof(f25,plain,
    ( c3_1(a153)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f824,plain,
    ( spl0_47
    | spl0_39
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f250,f510,f414,f452]) ).

fof(f199,plain,
    ! [X6] :
      ( ~ ndr1_0
      | hskp24
      | c2_1(X6)
      | c3_1(X6)
      | ~ c1_1(X6)
      | hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f812,plain,
    ( ~ spl0_1
    | spl0_31
    | spl0_33
    | spl0_24 ),
    inference(avatar_split_clause,[],[f97,f348,f389,f380,f250]) ).

fof(f97,plain,
    ! [X71] :
      ( ~ c0_1(X71)
      | ~ c1_1(X71)
      | c3_1(X71)
      | hskp12
      | hskp11
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f806,plain,
    ( ~ spl0_1
    | spl0_115
    | spl0_44
    | spl0_13 ),
    inference(avatar_split_clause,[],[f226,f303,f437,f804,f250]) ).

fof(f226,plain,
    ! [X124,X122,X123] :
      ( ~ c2_1(X122)
      | c0_1(X123)
      | ~ c2_1(X124)
      | c1_1(X124)
      | ~ c3_1(X122)
      | ~ c0_1(X124)
      | ~ ndr1_0
      | c1_1(X123)
      | ~ c1_1(X122)
      | ~ c2_1(X123) ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ! [X124,X122,X123] :
      ( c1_1(X124)
      | ~ c2_1(X124)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X122)
      | ~ c3_1(X122)
      | c0_1(X123)
      | ~ c2_1(X122)
      | c1_1(X123)
      | ~ c2_1(X123)
      | ~ c0_1(X124)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f796,plain,
    ( ~ spl0_1
    | spl0_68
    | spl0_16 ),
    inference(avatar_split_clause,[],[f188,f313,f547,f250]) ).

fof(f188,plain,
    ! [X9] :
      ( ~ c2_1(X9)
      | hskp22
      | c3_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f792,plain,
    ( ~ spl0_33
    | spl0_113 ),
    inference(avatar_split_clause,[],[f57,f789,f389]) ).

fof(f57,plain,
    ( c0_1(a142)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f787,plain,
    ( ~ spl0_112
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f87,f258,f784]) ).

fof(f87,plain,
    ( ~ hskp17
    | ~ c2_1(a155) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f782,plain,
    ( ~ spl0_48
    | spl0_111 ),
    inference(avatar_split_clause,[],[f99,f779,f457]) ).

fof(f457,plain,
    ( spl0_48
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f99,plain,
    ( c3_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f770,plain,
    ( spl0_105
    | spl0_47
    | spl0_22 ),
    inference(avatar_split_clause,[],[f135,f340,f452,f739]) ).

fof(f135,plain,
    ( hskp20
    | hskp15
    | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f769,plain,
    ( spl0_12
    | spl0_2
    | spl0_33 ),
    inference(avatar_split_clause,[],[f29,f389,f254,f299]) ).

fof(f29,plain,
    ( hskp12
    | hskp19
    | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f768,plain,
    ( spl0_73
    | spl0_15
    | ~ spl0_1
    | spl0_79 ),
    inference(avatar_split_clause,[],[f227,f601,f250,f310,f570]) ).

fof(f227,plain,
    ! [X50,X51,X52] :
      ( ~ c3_1(X52)
      | ~ ndr1_0
      | c1_1(X50)
      | ~ c3_1(X50)
      | c0_1(X50)
      | ~ c2_1(X52)
      | c2_1(X51)
      | c1_1(X51)
      | ~ c3_1(X51)
      | c1_1(X52) ),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f130,plain,
    ! [X50,X51,X52] :
      ( ~ c3_1(X52)
      | c1_1(X50)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X50)
      | c1_1(X52)
      | c2_1(X51)
      | ~ c3_1(X50)
      | c1_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f757,plain,
    ( ~ spl0_37
    | spl0_108 ),
    inference(avatar_split_clause,[],[f107,f754,f405]) ).

fof(f405,plain,
    ( spl0_37
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f107,plain,
    ( c1_1(a128)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f747,plain,
    ( ~ spl0_60
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f80,f744,f510]) ).

fof(f80,plain,
    ( ~ c0_1(a182)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f714,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_7
    | spl0_14 ),
    inference(avatar_split_clause,[],[f21,f307,f276,f294,f250]) ).

fof(f21,plain,
    ! [X119] :
      ( ~ c1_1(X119)
      | c2_1(X119)
      | hskp3
      | hskp28
      | c0_1(X119)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f712,plain,
    ( ~ spl0_68
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f120,f709,f547]) ).

fof(f120,plain,
    ( ~ c2_1(a176)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f707,plain,
    ( spl0_48
    | ~ spl0_1
    | spl0_98
    | spl0_71 ),
    inference(avatar_split_clause,[],[f108,f559,f705,f250,f457]) ).

fof(f108,plain,
    ! [X66] :
      ( hskp0
      | ~ c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0
      | hskp18
      | ~ c2_1(X66) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f703,plain,
    ( ~ spl0_97
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f143,f254,f700]) ).

fof(f143,plain,
    ( ~ hskp19
    | ~ c2_1(a164) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( ~ spl0_95
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f119,f547,f690]) ).

fof(f119,plain,
    ( ~ hskp22
    | ~ c1_1(a176) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f682,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f146,f254,f250]) ).

fof(f146,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f681,plain,
    ( ~ spl0_93
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f14,f276,f678]) ).

fof(f14,plain,
    ( ~ hskp3
    | ~ c2_1(a127) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f676,plain,
    ( ~ spl0_1
    | spl0_15
    | spl0_6
    | spl0_66 ),
    inference(avatar_split_clause,[],[f233,f539,f271,f310,f250]) ).

fof(f233,plain,
    ! [X62,X61] :
      ( ~ c0_1(X61)
      | ~ c1_1(X61)
      | hskp7
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c0_1(X62)
      | c2_1(X61)
      | c1_1(X62) ),
    inference(duplicate_literal_removal,[],[f111]) ).

fof(f111,plain,
    ! [X62,X61] :
      ( c1_1(X62)
      | c2_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | hskp7
      | c0_1(X62) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f662,plain,
    ( ~ spl0_1
    | spl0_71
    | spl0_67
    | spl0_6 ),
    inference(avatar_split_clause,[],[f211,f271,f542,f559,f250]) ).

fof(f211,plain,
    ! [X0] :
      ( hskp7
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0)
      | hskp0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f645,plain,
    ( ~ spl0_87
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f84,f258,f642]) ).

fof(f84,plain,
    ( ~ hskp17
    | ~ c0_1(a155) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f640,plain,
    ( spl0_12
    | ~ spl0_1
    | spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f235,f307,f262,f250,f299]) ).

fof(f235,plain,
    ! [X21,X22] :
      ( ~ c1_1(X22)
      | ~ c0_1(X21)
      | c1_1(X21)
      | c2_1(X22)
      | ~ ndr1_0
      | c0_1(X22)
      | c2_1(X21)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X21,X22] :
      ( hskp13
      | ~ c0_1(X21)
      | ~ ndr1_0
      | c1_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | ~ c1_1(X22)
      | c2_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f624,plain,
    ( ~ spl0_71
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f129,f621,f559]) ).

fof(f129,plain,
    ( ~ c1_1(a123)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f619,plain,
    ( ~ spl0_12
    | spl0_82 ),
    inference(avatar_split_clause,[],[f173,f616,f299]) ).

fof(f173,plain,
    ( c3_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f590,plain,
    ( ~ spl0_2
    | spl0_77 ),
    inference(avatar_split_clause,[],[f144,f587,f254]) ).

fof(f144,plain,
    ( c1_1(a164)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f562,plain,
    ( ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f127,f559,f555]) ).

fof(f127,plain,
    ( ~ hskp0
    | ~ c0_1(a123) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f518,plain,
    ( ~ spl0_61
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f100,f457,f515]) ).

fof(f100,plain,
    ( ~ hskp18
    | ~ c1_1(a160) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f508,plain,
    ( ~ spl0_1
    | spl0_20
    | spl0_59
    | spl0_53 ),
    inference(avatar_split_clause,[],[f240,f480,f506,f331,f250]) ).

fof(f240,plain,
    ! [X56,X55] :
      ( ~ c3_1(X55)
      | c0_1(X56)
      | ~ c0_1(X55)
      | c2_1(X56)
      | c3_1(X56)
      | ~ c2_1(X55)
      | hskp8
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f124]) ).

fof(f124,plain,
    ! [X56,X55] :
      ( ~ c2_1(X55)
      | ~ c3_1(X55)
      | c0_1(X56)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ ndr1_0
      | c3_1(X56)
      | ~ c0_1(X55)
      | hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f504,plain,
    ( ~ spl0_58
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f105,f405,f501]) ).

fof(f105,plain,
    ( ~ hskp4
    | ~ c3_1(a128) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f469,plain,
    ( ~ spl0_12
    | spl0_50 ),
    inference(avatar_split_clause,[],[f174,f466,f299]) ).

fof(f174,plain,
    ( c2_1(a143)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f464,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f101,f461,f457]) ).

fof(f101,plain,
    ( ~ c2_1(a160)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f455,plain,
    ( spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f27,f452,f448]) ).

fof(f27,plain,
    ( ~ hskp15
    | c2_1(a153) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f444,plain,
    ( spl0_45
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f326,f441]) ).

fof(f90,plain,
    ( ~ hskp9
    | c1_1(a138) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f439,plain,
    ( ~ spl0_1
    | spl0_14
    | spl0_44
    | spl0_37 ),
    inference(avatar_split_clause,[],[f243,f405,f437,f307,f250]) ).

fof(f243,plain,
    ! [X82,X83] :
      ( hskp4
      | c0_1(X82)
      | c0_1(X83)
      | ~ c2_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83) ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f71,plain,
    ! [X82,X83] :
      ( c2_1(X83)
      | c1_1(X82)
      | hskp4
      | ~ ndr1_0
      | c0_1(X82)
      | ~ ndr1_0
      | c0_1(X83)
      | ~ c1_1(X83)
      | ~ c2_1(X82) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f430,plain,
    ( spl0_42
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f112,f321,f427]) ).

fof(f112,plain,
    ( ~ hskp29
    | c0_1(a136) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f425,plain,
    ( ~ spl0_41
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f137,f380,f422]) ).

fof(f137,plain,
    ( ~ hskp11
    | ~ c2_1(a141) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f420,plain,
    ( ~ spl0_1
    | spl0_40
    | spl0_34
    | spl0_14 ),
    inference(avatar_split_clause,[],[f244,f307,f393,f418,f250]) ).

fof(f244,plain,
    ! [X88,X86,X87] :
      ( ~ c1_1(X88)
      | c2_1(X86)
      | ~ c3_1(X87)
      | c0_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c0_1(X87)
      | c2_1(X88)
      | c0_1(X88)
      | c2_1(X87) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f69,plain,
    ! [X88,X86,X87] :
      ( ~ c1_1(X88)
      | ~ c0_1(X87)
      | ~ c3_1(X87)
      | c2_1(X86)
      | c0_1(X88)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X87)
      | c2_1(X88)
      | ~ c3_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f416,plain,
    ( ~ spl0_1
    | spl0_18
    | spl0_34
    | spl0_39 ),
    inference(avatar_split_clause,[],[f245,f414,f393,f321,f250]) ).

fof(f245,plain,
    ! [X96,X97] :
      ( c3_1(X97)
      | c2_1(X96)
      | hskp29
      | c2_1(X97)
      | ~ ndr1_0
      | c0_1(X96)
      | ~ c3_1(X96)
      | ~ c1_1(X97) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f45,plain,
    ! [X96,X97] :
      ( ~ ndr1_0
      | hskp29
      | c0_1(X96)
      | c2_1(X97)
      | ~ ndr1_0
      | ~ c1_1(X97)
      | c3_1(X97)
      | ~ c3_1(X96)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f412,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f104,f409,f405]) ).

fof(f104,plain,
    ( c0_1(a128)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f403,plain,
    ( ~ spl0_36
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f184,f271,f400]) ).

fof(f184,plain,
    ( ~ hskp7
    | ~ c2_1(a132) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f387,plain,
    ( spl0_12
    | spl0_3
    | ~ spl0_1
    | spl0_32 ),
    inference(avatar_split_clause,[],[f20,f385,f250,f258,f299]) ).

fof(f20,plain,
    ! [X120] :
      ( ~ c1_1(X120)
      | ~ ndr1_0
      | hskp17
      | ~ c3_1(X120)
      | hskp13
      | c2_1(X120) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f383,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f138,f380,f376]) ).

fof(f138,plain,
    ( ~ hskp11
    | ~ c3_1(a141) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f360,plain,
    ( ~ spl0_18
    | spl0_26 ),
    inference(avatar_split_clause,[],[f113,f357,f321]) ).

fof(f113,plain,
    ( c1_1(a136)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f355,plain,
    ( ~ spl0_6
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f183,f352,f271]) ).

fof(f183,plain,
    ( ~ c0_1(a132)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f350,plain,
    ( spl0_24
    | spl0_14
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f247,f250,f294,f307,f348]) ).

fof(f247,plain,
    ! [X84,X85] :
      ( ~ ndr1_0
      | hskp28
      | c0_1(X85)
      | ~ c1_1(X85)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | c2_1(X85) ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f70,plain,
    ! [X84,X85] :
      ( ~ c0_1(X84)
      | c0_1(X85)
      | c2_1(X85)
      | c3_1(X84)
      | ~ ndr1_0
      | ~ c1_1(X85)
      | hskp28
      | ~ c1_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f324,plain,
    ( spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f114,f321,f317]) ).

fof(f114,plain,
    ( ~ hskp29
    | c2_1(a136) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f315,plain,
    ( spl0_14
    | spl0_15
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f248,f250,f313,f310,f307]) ).

fof(f248,plain,
    ! [X78,X79,X77] :
      ( ~ ndr1_0
      | ~ c1_1(X78)
      | c0_1(X79)
      | c2_1(X77)
      | ~ c2_1(X78)
      | ~ c1_1(X77)
      | c3_1(X78)
      | ~ c3_1(X79)
      | c1_1(X79)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f73,plain,
    ! [X78,X79,X77] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X78)
      | ~ c1_1(X77)
      | c2_1(X77)
      | c0_1(X79)
      | ~ c2_1(X78)
      | c0_1(X77)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c3_1(X78)
      | c1_1(X79) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f305,plain,
    ( spl0_12
    | ~ spl0_1
    | spl0_7
    | spl0_13 ),
    inference(avatar_split_clause,[],[f180,f303,f276,f250,f299]) ).

fof(f180,plain,
    ! [X15] :
      ( ~ c3_1(X15)
      | ~ c1_1(X15)
      | hskp3
      | ~ c2_1(X15)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f297,plain,
    ( spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f178,f294,f290]) ).

fof(f178,plain,
    ( ~ hskp28
    | c2_1(a133) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f283,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f12,f280,f276]) ).

fof(f12,plain,
    ( ~ c3_1(a127)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f264,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f68,f262,f258,f254,f250]) ).

fof(f68,plain,
    ! [X89] :
      ( ~ c0_1(X89)
      | c1_1(X89)
      | hskp17
      | hskp19
      | c2_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN499+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:27:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (552)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (577)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50  % (576)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50  % (565)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (552)Instruction limit reached!
% 0.20/0.50  % (552)------------------------------
% 0.20/0.50  % (552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (557)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (565)Instruction limit reached!
% 0.20/0.50  % (565)------------------------------
% 0.20/0.50  % (565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (552)Termination reason: Unknown
% 0.20/0.51  % (552)Termination phase: shuffling
% 0.20/0.51  
% 0.20/0.51  % (552)Memory used [KB]: 1663
% 0.20/0.51  % (552)Time elapsed: 0.004 s
% 0.20/0.51  % (552)Instructions burned: 3 (million)
% 0.20/0.51  % (552)------------------------------
% 0.20/0.51  % (552)------------------------------
% 0.20/0.51  % (565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (565)Termination reason: Unknown
% 0.20/0.51  % (565)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (565)Memory used [KB]: 6396
% 0.20/0.51  % (565)Time elapsed: 0.008 s
% 0.20/0.51  % (565)Instructions burned: 7 (million)
% 0.20/0.51  % (565)------------------------------
% 0.20/0.51  % (565)------------------------------
% 0.20/0.51  % (564)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (564)Instruction limit reached!
% 0.20/0.51  % (564)------------------------------
% 0.20/0.51  % (564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (564)Termination reason: Unknown
% 0.20/0.51  % (564)Termination phase: Preprocessing 3
% 0.20/0.51  
% 0.20/0.51  % (564)Memory used [KB]: 1791
% 0.20/0.51  % (564)Time elapsed: 0.004 s
% 0.20/0.51  % (564)Instructions burned: 4 (million)
% 0.20/0.51  % (564)------------------------------
% 0.20/0.51  % (564)------------------------------
% 0.20/0.51  % (554)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (562)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52  % (553)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (555)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (551)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (582)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (556)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (581)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (551)Instruction limit reached!
% 0.20/0.53  % (551)------------------------------
% 0.20/0.53  % (551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (551)Termination reason: Unknown
% 0.20/0.53  % (551)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (551)Memory used [KB]: 6780
% 0.20/0.53  % (551)Time elapsed: 0.008 s
% 0.20/0.53  % (551)Instructions burned: 13 (million)
% 0.20/0.53  % (551)------------------------------
% 0.20/0.53  % (551)------------------------------
% 0.20/0.53  % (576)First to succeed.
% 0.20/0.54  % (573)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54  % (575)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (563)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (554)Instruction limit reached!
% 0.20/0.54  % (554)------------------------------
% 0.20/0.54  % (554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (554)Termination reason: Unknown
% 0.20/0.54  % (554)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (554)Memory used [KB]: 6908
% 0.20/0.54  % (554)Time elapsed: 0.135 s
% 0.20/0.54  % (554)Instructions burned: 14 (million)
% 0.20/0.54  % (554)------------------------------
% 0.20/0.54  % (554)------------------------------
% 0.20/0.54  % (583)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (574)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54  % (573)Instruction limit reached!
% 0.20/0.54  % (573)------------------------------
% 0.20/0.54  % (573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (573)Termination reason: Unknown
% 0.20/0.54  % (573)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (573)Memory used [KB]: 6780
% 0.20/0.54  % (573)Time elapsed: 0.006 s
% 0.20/0.54  % (573)Instructions burned: 11 (million)
% 0.20/0.54  % (573)------------------------------
% 0.20/0.54  % (573)------------------------------
% 0.20/0.54  % (562)Instruction limit reached!
% 0.20/0.54  % (562)------------------------------
% 0.20/0.54  % (562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (562)Termination reason: Unknown
% 0.20/0.54  % (562)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (562)Memory used [KB]: 2046
% 0.20/0.54  % (562)Time elapsed: 0.010 s
% 0.20/0.54  % (562)Instructions burned: 16 (million)
% 0.20/0.54  % (562)------------------------------
% 0.20/0.54  % (562)------------------------------
% 0.20/0.54  % (578)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (559)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54  % (580)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (579)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.55  % (560)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.55  % (577)Instruction limit reached!
% 0.20/0.55  % (577)------------------------------
% 0.20/0.55  % (577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (577)Termination reason: Unknown
% 0.20/0.55  % (577)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (577)Memory used [KB]: 2174
% 0.20/0.55  % (577)Time elapsed: 0.100 s
% 0.20/0.55  % (577)Instructions burned: 47 (million)
% 0.20/0.55  % (577)------------------------------
% 0.20/0.55  % (577)------------------------------
% 0.20/0.55  % (572)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (572)Instruction limit reached!
% 0.20/0.55  % (572)------------------------------
% 0.20/0.55  % (572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (572)Termination reason: Unknown
% 0.20/0.55  % (572)Termination phase: SInE selection
% 0.20/0.55  
% 0.20/0.55  % (572)Memory used [KB]: 1535
% 0.20/0.55  % (572)Time elapsed: 0.003 s
% 0.20/0.55  % (572)Instructions burned: 2 (million)
% 0.20/0.55  % (572)------------------------------
% 0.20/0.55  % (572)------------------------------
% 0.20/0.55  % (560)Instruction limit reached!
% 0.20/0.55  % (560)------------------------------
% 0.20/0.55  % (560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (582)Instruction limit reached!
% 0.20/0.55  % (582)------------------------------
% 0.20/0.55  % (582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (582)Termination reason: Unknown
% 0.20/0.55  % (582)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (582)Memory used [KB]: 6524
% 0.20/0.55  % (582)Time elapsed: 0.006 s
% 0.20/0.55  % (582)Instructions burned: 8 (million)
% 0.20/0.55  % (582)------------------------------
% 0.20/0.55  % (582)------------------------------
% 0.20/0.55  % (550)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55  % (555)Instruction limit reached!
% 0.20/0.55  % (555)------------------------------
% 0.20/0.55  % (555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (555)Termination reason: Unknown
% 0.20/0.55  % (555)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (555)Memory used [KB]: 2046
% 0.20/0.55  % (555)Time elapsed: 0.148 s
% 0.20/0.55  % (555)Instructions burned: 16 (million)
% 0.20/0.55  % (555)------------------------------
% 0.20/0.55  % (555)------------------------------
% 0.20/0.56  % (583)Instruction limit reached!
% 0.20/0.56  % (583)------------------------------
% 0.20/0.56  % (583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (583)Termination reason: Unknown
% 0.20/0.56  % (583)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (583)Memory used [KB]: 6780
% 0.20/0.56  % (583)Time elapsed: 0.149 s
% 0.20/0.56  % (583)Instructions burned: 24 (million)
% 0.20/0.56  % (583)------------------------------
% 0.20/0.56  % (583)------------------------------
% 0.20/0.56  % (571)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (571)Instruction limit reached!
% 0.20/0.56  % (571)------------------------------
% 0.20/0.56  % (571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (571)Termination reason: Unknown
% 0.20/0.56  % (571)Termination phase: Preprocessing 2
% 0.20/0.56  
% 0.20/0.56  % (571)Memory used [KB]: 1791
% 0.20/0.56  % (571)Time elapsed: 0.003 s
% 0.20/0.56  % (571)Instructions burned: 3 (million)
% 0.20/0.56  % (571)------------------------------
% 0.20/0.56  % (571)------------------------------
% 0.20/0.56  % (561)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (576)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Theorem for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (576)------------------------------
% 0.20/0.56  % (576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (576)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (576)Memory used [KB]: 8187
% 0.20/0.56  % (576)Time elapsed: 0.134 s
% 0.20/0.56  % (576)Instructions burned: 39 (million)
% 0.20/0.56  % (576)------------------------------
% 0.20/0.56  % (576)------------------------------
% 0.20/0.56  % (549)Success in time 0.204 s
%------------------------------------------------------------------------------