TSTP Solution File: SYN471+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN471+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 : n010.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 19:27:03 EDT 2022

% Result   : Theorem 1.73s 0.61s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  121
% Syntax   : Number of formulae    :  514 (   1 unt;   0 def)
%            Number of atoms       : 6759 (   0 equ)
%            Maximal formula atoms :  718 (  13 avg)
%            Number of connectives : 9372 (3127   ~;4272   |;1393   &)
%                                         ( 120 <=>; 460  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  960 ( 960   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2615,plain,
    $false,
    inference(avatar_sat_refutation,[],[f278,f287,f298,f330,f356,f361,f370,f380,f403,f417,f428,f451,f458,f463,f475,f485,f494,f495,f501,f518,f529,f534,f539,f553,f563,f568,f574,f579,f584,f585,f591,f598,f600,f614,f619,f624,f631,f644,f656,f657,f673,f708,f714,f719,f724,f725,f731,f733,f743,f753,f758,f766,f771,f776,f781,f792,f797,f806,f807,f827,f832,f838,f843,f848,f853,f858,f865,f871,f872,f882,f883,f890,f895,f896,f901,f902,f907,f912,f913,f920,f932,f933,f938,f947,f948,f949,f954,f956,f961,f972,f978,f983,f988,f990,f995,f1006,f1039,f1040,f1054,f1088,f1116,f1180,f1203,f1265,f1298,f1301,f1302,f1380,f1410,f1474,f1475,f1476,f1535,f1602,f1671,f1677,f1692,f1718,f1724,f1725,f1756,f1759,f1775,f1927,f1932,f2016,f2060,f2061,f2064,f2068,f2096,f2128,f2138,f2170,f2201,f2202,f2203,f2211,f2213,f2235,f2236,f2237,f2245,f2270,f2294,f2297,f2366,f2379,f2403,f2463,f2469,f2518,f2607,f2609]) ).

fof(f2609,plain,
    ( spl0_13
    | ~ spl0_78
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2596,f678,f593,f296]) ).

fof(f296,plain,
    ( spl0_13
  <=> ! [X9] :
        ( c0_1(X9)
        | c3_1(X9)
        | ~ c2_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f593,plain,
    ( spl0_78
  <=> ! [X4] :
        ( c3_1(X4)
        | c1_1(X4)
        | c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f678,plain,
    ( spl0_95
  <=> ! [X51] :
        ( ~ c1_1(X51)
        | c3_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2596,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_78
    | ~ spl0_95 ),
    inference(duplicate_literal_removal,[],[f2578]) ).

fof(f2578,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_78
    | ~ spl0_95 ),
    inference(resolution,[],[f679,f594]) ).

fof(f594,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | c0_1(X4)
        | c3_1(X4) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f679,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | ~ c2_1(X51)
        | c3_1(X51) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f2607,plain,
    ( spl0_173
    | ~ spl0_102
    | ~ spl0_95
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2580,f917,f678,f716,f1182]) ).

fof(f1182,plain,
    ( spl0_173
  <=> c3_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f716,plain,
    ( spl0_102
  <=> c2_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f917,plain,
    ( spl0_137
  <=> c1_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2580,plain,
    ( ~ c2_1(a604)
    | c3_1(a604)
    | ~ spl0_95
    | ~ spl0_137 ),
    inference(resolution,[],[f679,f919]) ).

fof(f919,plain,
    ( c1_1(a604)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f2518,plain,
    ( spl0_109
    | ~ spl0_123
    | ~ spl0_88
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2490,f985,f642,f835,f763]) ).

fof(f763,plain,
    ( spl0_109
  <=> c1_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f835,plain,
    ( spl0_123
  <=> c2_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f642,plain,
    ( spl0_88
  <=> ! [X75] :
        ( c1_1(X75)
        | ~ c0_1(X75)
        | ~ c2_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f985,plain,
    ( spl0_149
  <=> c0_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2490,plain,
    ( ~ c2_1(a615)
    | c1_1(a615)
    | ~ spl0_88
    | ~ spl0_149 ),
    inference(resolution,[],[f643,f987]) ).

fof(f987,plain,
    ( c0_1(a615)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f643,plain,
    ( ! [X75] :
        ( ~ c0_1(X75)
        | c1_1(X75)
        | ~ c2_1(X75) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f2469,plain,
    ( spl0_161
    | spl0_75
    | ~ spl0_56
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2451,f612,f482,f576,f1061]) ).

fof(f1061,plain,
    ( spl0_161
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f576,plain,
    ( spl0_75
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f482,plain,
    ( spl0_56
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f612,plain,
    ( spl0_82
  <=> ! [X56] :
        ( ~ c1_1(X56)
        | c2_1(X56)
        | c0_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2451,plain,
    ( c2_1(a651)
    | c0_1(a651)
    | ~ spl0_56
    | ~ spl0_82 ),
    inference(resolution,[],[f613,f484]) ).

fof(f484,plain,
    ( c1_1(a651)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f613,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c2_1(X56)
        | c0_1(X56) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f2463,plain,
    ( spl0_135
    | spl0_102
    | ~ spl0_82
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2444,f917,f612,f716,f904]) ).

fof(f904,plain,
    ( spl0_135
  <=> c0_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2444,plain,
    ( c2_1(a604)
    | c0_1(a604)
    | ~ spl0_82
    | ~ spl0_137 ),
    inference(resolution,[],[f613,f919]) ).

fof(f2403,plain,
    ( ~ spl0_30
    | spl0_75
    | ~ spl0_56
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2390,f561,f482,f576,f367]) ).

fof(f367,plain,
    ( spl0_30
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f561,plain,
    ( spl0_72
  <=> ! [X112] :
        ( ~ c3_1(X112)
        | ~ c1_1(X112)
        | c2_1(X112) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2390,plain,
    ( c2_1(a651)
    | ~ c3_1(a651)
    | ~ spl0_56
    | ~ spl0_72 ),
    inference(resolution,[],[f562,f484]) ).

fof(f562,plain,
    ( ! [X112] :
        ( ~ c1_1(X112)
        | ~ c3_1(X112)
        | c2_1(X112) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f2379,plain,
    ( spl0_126
    | ~ spl0_162
    | ~ spl0_41
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2348,f511,f414,f1066,f850]) ).

fof(f850,plain,
    ( spl0_126
  <=> c2_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1066,plain,
    ( spl0_162
  <=> c0_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f414,plain,
    ( spl0_41
  <=> c3_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f511,plain,
    ( spl0_62
  <=> ! [X28] :
        ( ~ c0_1(X28)
        | c2_1(X28)
        | ~ c3_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2348,plain,
    ( ~ c0_1(a600)
    | c2_1(a600)
    | ~ spl0_41
    | ~ spl0_62 ),
    inference(resolution,[],[f512,f416]) ).

fof(f416,plain,
    ( c3_1(a600)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f512,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | ~ c0_1(X28)
        | c2_1(X28) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f2366,plain,
    ( ~ spl0_28
    | spl0_177
    | ~ spl0_38
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2360,f511,f400,f1270,f358]) ).

fof(f358,plain,
    ( spl0_28
  <=> c0_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1270,plain,
    ( spl0_177
  <=> c2_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f400,plain,
    ( spl0_38
  <=> c3_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2360,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_38
    | ~ spl0_62 ),
    inference(resolution,[],[f512,f402]) ).

fof(f402,plain,
    ( c3_1(a618)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f2297,plain,
    ( ~ spl0_123
    | spl0_176
    | ~ spl0_53
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2277,f985,f470,f1235,f835]) ).

fof(f1235,plain,
    ( spl0_176
  <=> c3_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f470,plain,
    ( spl0_53
  <=> ! [X21] :
        ( ~ c2_1(X21)
        | c3_1(X21)
        | ~ c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2277,plain,
    ( c3_1(a615)
    | ~ c2_1(a615)
    | ~ spl0_53
    | ~ spl0_149 ),
    inference(resolution,[],[f471,f987]) ).

fof(f471,plain,
    ( ! [X21] :
        ( ~ c0_1(X21)
        | ~ c2_1(X21)
        | c3_1(X21) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f2294,plain,
    ( ~ spl0_108
    | spl0_142
    | ~ spl0_53
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2276,f958,f470,f944,f755]) ).

fof(f755,plain,
    ( spl0_108
  <=> c2_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f944,plain,
    ( spl0_142
  <=> c3_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f958,plain,
    ( spl0_144
  <=> c0_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2276,plain,
    ( c3_1(a605)
    | ~ c2_1(a605)
    | ~ spl0_53
    | ~ spl0_144 ),
    inference(resolution,[],[f471,f960]) ).

fof(f960,plain,
    ( c0_1(a605)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f2270,plain,
    ( ~ spl0_161
    | spl0_75
    | ~ spl0_39
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2254,f482,f405,f576,f1061]) ).

fof(f405,plain,
    ( spl0_39
  <=> ! [X65] :
        ( ~ c0_1(X65)
        | c2_1(X65)
        | ~ c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2254,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_39
    | ~ spl0_56 ),
    inference(resolution,[],[f406,f484]) ).

fof(f406,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c2_1(X65)
        | ~ c0_1(X65) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f2245,plain,
    ( spl0_135
    | ~ spl0_173
    | ~ spl0_33
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2219,f917,f378,f1182,f904]) ).

fof(f378,plain,
    ( spl0_33
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2219,plain,
    ( ~ c3_1(a604)
    | c0_1(a604)
    | ~ spl0_33
    | ~ spl0_137 ),
    inference(resolution,[],[f379,f919]) ).

fof(f379,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f2237,plain,
    ( spl0_161
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2226,f482,f378,f367,f1061]) ).

fof(f2226,plain,
    ( ~ c3_1(a651)
    | c0_1(a651)
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(resolution,[],[f379,f484]) ).

fof(f2236,plain,
    ( ~ spl0_116
    | spl0_143
    | ~ spl0_33
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2227,f868,f378,f951,f799]) ).

fof(f799,plain,
    ( spl0_116
  <=> c3_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f951,plain,
    ( spl0_143
  <=> c0_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f868,plain,
    ( spl0_129
  <=> c1_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2227,plain,
    ( c0_1(a656)
    | ~ c3_1(a656)
    | ~ spl0_33
    | ~ spl0_129 ),
    inference(resolution,[],[f379,f870]) ).

fof(f870,plain,
    ( c1_1(a656)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f2235,plain,
    ( ~ spl0_152
    | spl0_187
    | ~ spl0_33
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2229,f845,f378,f1687,f1003]) ).

fof(f1003,plain,
    ( spl0_152
  <=> c3_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1687,plain,
    ( spl0_187
  <=> c0_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f845,plain,
    ( spl0_125
  <=> c1_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2229,plain,
    ( c0_1(a595)
    | ~ c3_1(a595)
    | ~ spl0_33
    | ~ spl0_125 ),
    inference(resolution,[],[f379,f847]) ).

fof(f847,plain,
    ( c1_1(a595)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f2213,plain,
    ( ~ spl0_104
    | spl0_26
    | ~ spl0_5
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2212,f855,f263,f349,f728]) ).

fof(f728,plain,
    ( spl0_104
  <=> c0_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f349,plain,
    ( spl0_26
  <=> c1_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f263,plain,
    ( spl0_5
  <=> ! [X113] :
        ( ~ c0_1(X113)
        | ~ c3_1(X113)
        | c1_1(X113) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f855,plain,
    ( spl0_127
  <=> c3_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2212,plain,
    ( c1_1(a631)
    | ~ c0_1(a631)
    | ~ spl0_5
    | ~ spl0_127 ),
    inference(resolution,[],[f857,f264]) ).

fof(f264,plain,
    ( ! [X113] :
        ( ~ c3_1(X113)
        | c1_1(X113)
        | ~ c0_1(X113) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f857,plain,
    ( c3_1(a631)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f2211,plain,
    ( spl0_172
    | ~ spl0_74
    | ~ spl0_5
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2210,f550,f263,f571,f1171]) ).

fof(f1171,plain,
    ( spl0_172
  <=> c1_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f571,plain,
    ( spl0_74
  <=> c0_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f550,plain,
    ( spl0_70
  <=> c3_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2210,plain,
    ( ~ c0_1(a672)
    | c1_1(a672)
    | ~ spl0_5
    | ~ spl0_70 ),
    inference(resolution,[],[f552,f264]) ).

fof(f552,plain,
    ( c3_1(a672)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f2203,plain,
    ( ~ spl0_111
    | ~ spl0_140
    | ~ spl0_31
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2187,f1097,f372,f935,f773]) ).

fof(f773,plain,
    ( spl0_111
  <=> c3_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f935,plain,
    ( spl0_140
  <=> c2_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f372,plain,
    ( spl0_31
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c3_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1097,plain,
    ( spl0_167
  <=> c1_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2187,plain,
    ( ~ c2_1(a602)
    | ~ c3_1(a602)
    | ~ spl0_31
    | ~ spl0_167 ),
    inference(resolution,[],[f373,f1099]) ).

fof(f1099,plain,
    ( c1_1(a602)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f373,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c3_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2202,plain,
    ( ~ spl0_102
    | ~ spl0_173
    | ~ spl0_31
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2188,f917,f372,f1182,f716]) ).

fof(f2188,plain,
    ( ~ c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_31
    | ~ spl0_137 ),
    inference(resolution,[],[f373,f919]) ).

fof(f2201,plain,
    ( ~ spl0_152
    | ~ spl0_110
    | ~ spl0_31
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2194,f845,f372,f768,f1003]) ).

fof(f768,plain,
    ( spl0_110
  <=> c2_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2194,plain,
    ( ~ c2_1(a595)
    | ~ c3_1(a595)
    | ~ spl0_31
    | ~ spl0_125 ),
    inference(resolution,[],[f373,f847]) ).

fof(f2170,plain,
    ( spl0_65
    | ~ spl0_166
    | ~ spl0_5
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2150,f487,f263,f1091,f526]) ).

fof(f526,plain,
    ( spl0_65
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1091,plain,
    ( spl0_166
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f487,plain,
    ( spl0_57
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2150,plain,
    ( ~ c0_1(a599)
    | c1_1(a599)
    | ~ spl0_5
    | ~ spl0_57 ),
    inference(resolution,[],[f264,f489]) ).

fof(f489,plain,
    ( c3_1(a599)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f2138,plain,
    ( ~ spl0_131
    | ~ spl0_166
    | ~ spl0_18
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2137,f487,f315,f1091,f879]) ).

fof(f879,plain,
    ( spl0_131
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f315,plain,
    ( spl0_18
  <=> ! [X101] :
        ( ~ c0_1(X101)
        | ~ c3_1(X101)
        | ~ c2_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2137,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_18
    | ~ spl0_57 ),
    inference(resolution,[],[f489,f316]) ).

fof(f316,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | ~ c2_1(X101)
        | ~ c0_1(X101) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f2128,plain,
    ( ~ spl0_187
    | ~ spl0_110
    | ~ spl0_16
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2116,f845,f307,f768,f1687]) ).

fof(f307,plain,
    ( spl0_16
  <=> ! [X72] :
        ( ~ c2_1(X72)
        | ~ c1_1(X72)
        | ~ c0_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2116,plain,
    ( ~ c2_1(a595)
    | ~ c0_1(a595)
    | ~ spl0_16
    | ~ spl0_125 ),
    inference(resolution,[],[f308,f847]) ).

fof(f308,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | ~ c2_1(X72)
        | ~ c0_1(X72) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f2096,plain,
    ( spl0_63
    | spl0_164
    | ~ spl0_13
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2091,f892,f296,f1079,f515]) ).

fof(f515,plain,
    ( spl0_63
  <=> c3_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1079,plain,
    ( spl0_164
  <=> c0_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f892,plain,
    ( spl0_133
  <=> c2_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2091,plain,
    ( c0_1(a609)
    | c3_1(a609)
    | ~ spl0_13
    | ~ spl0_133 ),
    inference(resolution,[],[f297,f894]) ).

fof(f894,plain,
    ( c2_1(a609)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f297,plain,
    ( ! [X9] :
        ( ~ c2_1(X9)
        | c3_1(X9)
        | c0_1(X9) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f2068,plain,
    ( spl0_136
    | spl0_100
    | spl0_48
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2067,f602,f448,f705,f909]) ).

fof(f909,plain,
    ( spl0_136
  <=> c0_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f705,plain,
    ( spl0_100
  <=> c2_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f448,plain,
    ( spl0_48
  <=> c3_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f602,plain,
    ( spl0_80
  <=> ! [X36] :
        ( c2_1(X36)
        | c3_1(X36)
        | c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2067,plain,
    ( c2_1(a644)
    | c0_1(a644)
    | spl0_48
    | ~ spl0_80 ),
    inference(resolution,[],[f450,f603]) ).

fof(f603,plain,
    ( ! [X36] :
        ( c3_1(X36)
        | c2_1(X36)
        | c0_1(X36) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f450,plain,
    ( ~ c3_1(a644)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f2064,plain,
    ( ~ spl0_123
    | ~ spl0_149
    | ~ spl0_18
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2030,f1235,f315,f985,f835]) ).

fof(f2030,plain,
    ( ~ c0_1(a615)
    | ~ c2_1(a615)
    | ~ spl0_18
    | ~ spl0_176 ),
    inference(resolution,[],[f316,f1237]) ).

fof(f1237,plain,
    ( c3_1(a615)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f2061,plain,
    ( ~ spl0_187
    | ~ spl0_110
    | ~ spl0_18
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2040,f1003,f315,f768,f1687]) ).

fof(f2040,plain,
    ( ~ c2_1(a595)
    | ~ c0_1(a595)
    | ~ spl0_18
    | ~ spl0_152 ),
    inference(resolution,[],[f316,f1005]) ).

fof(f1005,plain,
    ( c3_1(a595)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f2060,plain,
    ( ~ spl0_177
    | ~ spl0_28
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2041,f400,f315,f358,f1270]) ).

fof(f2041,plain,
    ( ~ c0_1(a618)
    | ~ c2_1(a618)
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(resolution,[],[f316,f402]) ).

fof(f2016,plain,
    ( spl0_171
    | spl0_114
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2001,f829,f293,f789,f1163]) ).

fof(f1163,plain,
    ( spl0_171
  <=> c3_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f789,plain,
    ( spl0_114
  <=> c1_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f293,plain,
    ( spl0_12
  <=> ! [X10] :
        ( ~ c0_1(X10)
        | c1_1(X10)
        | c3_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f829,plain,
    ( spl0_122
  <=> c0_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2001,plain,
    ( c1_1(a603)
    | c3_1(a603)
    | ~ spl0_12
    | ~ spl0_122 ),
    inference(resolution,[],[f294,f831]) ).

fof(f831,plain,
    ( c0_1(a603)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f294,plain,
    ( ! [X10] :
        ( ~ c0_1(X10)
        | c1_1(X10)
        | c3_1(X10) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f1932,plain,
    ( spl0_134
    | spl0_121
    | ~ spl0_67
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1917,f622,f536,f824,f898]) ).

fof(f898,plain,
    ( spl0_134
  <=> c0_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f824,plain,
    ( spl0_121
  <=> c3_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f536,plain,
    ( spl0_67
  <=> c1_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f622,plain,
    ( spl0_84
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | c0_1(X69)
        | c3_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1917,plain,
    ( c3_1(a608)
    | c0_1(a608)
    | ~ spl0_67
    | ~ spl0_84 ),
    inference(resolution,[],[f623,f538]) ).

fof(f538,plain,
    ( c1_1(a608)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f623,plain,
    ( ! [X69] :
        ( ~ c1_1(X69)
        | c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f1927,plain,
    ( spl0_173
    | spl0_135
    | ~ spl0_84
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1916,f917,f622,f904,f1182]) ).

fof(f1916,plain,
    ( c0_1(a604)
    | c3_1(a604)
    | ~ spl0_84
    | ~ spl0_137 ),
    inference(resolution,[],[f623,f919]) ).

fof(f1775,plain,
    ( ~ spl0_111
    | spl0_150
    | ~ spl0_33
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1774,f1097,f378,f992,f773]) ).

fof(f992,plain,
    ( spl0_150
  <=> c0_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1774,plain,
    ( c0_1(a602)
    | ~ c3_1(a602)
    | ~ spl0_33
    | ~ spl0_167 ),
    inference(resolution,[],[f1099,f379]) ).

fof(f1759,plain,
    ( ~ spl0_161
    | spl0_75
    | ~ spl0_30
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1758,f511,f367,f576,f1061]) ).

fof(f1758,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_30
    | ~ spl0_62 ),
    inference(resolution,[],[f369,f512]) ).

fof(f369,plain,
    ( c3_1(a651)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1756,plain,
    ( spl0_63
    | ~ spl0_133
    | ~ spl0_53
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1753,f1079,f470,f892,f515]) ).

fof(f1753,plain,
    ( ~ c2_1(a609)
    | c3_1(a609)
    | ~ spl0_53
    | ~ spl0_164 ),
    inference(resolution,[],[f1081,f471]) ).

fof(f1081,plain,
    ( c0_1(a609)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1725,plain,
    ( ~ spl0_43
    | spl0_124
    | ~ spl0_14
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1698,f1084,f300,f840,f425]) ).

fof(f425,plain,
    ( spl0_43
  <=> c2_1(a596) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f840,plain,
    ( spl0_124
  <=> c0_1(a596) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f300,plain,
    ( spl0_14
  <=> ! [X73] :
        ( ~ c3_1(X73)
        | ~ c2_1(X73)
        | c0_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1084,plain,
    ( spl0_165
  <=> c3_1(a596) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1698,plain,
    ( c0_1(a596)
    | ~ c2_1(a596)
    | ~ spl0_14
    | ~ spl0_165 ),
    inference(resolution,[],[f301,f1086]) ).

fof(f1086,plain,
    ( c3_1(a596)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f301,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c0_1(X73)
        | ~ c2_1(X73) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f1724,plain,
    ( ~ spl0_168
    | spl0_83
    | ~ spl0_14
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1705,f460,f300,f616,f1112]) ).

fof(f1112,plain,
    ( spl0_168
  <=> c2_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f616,plain,
    ( spl0_83
  <=> c0_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f460,plain,
    ( spl0_51
  <=> c3_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1705,plain,
    ( c0_1(a625)
    | ~ c2_1(a625)
    | ~ spl0_14
    | ~ spl0_51 ),
    inference(resolution,[],[f301,f462]) ).

fof(f462,plain,
    ( c3_1(a625)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f1718,plain,
    ( ~ spl0_110
    | spl0_187
    | ~ spl0_14
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1709,f1003,f300,f1687,f768]) ).

fof(f1709,plain,
    ( c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_14
    | ~ spl0_152 ),
    inference(resolution,[],[f301,f1005]) ).

fof(f1692,plain,
    ( ~ spl0_187
    | ~ spl0_152
    | ~ spl0_49
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1682,f845,f453,f1003,f1687]) ).

fof(f453,plain,
    ( spl0_49
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | ~ c0_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1682,plain,
    ( ~ c3_1(a595)
    | ~ c0_1(a595)
    | ~ spl0_49
    | ~ spl0_125 ),
    inference(resolution,[],[f847,f454]) ).

fof(f454,plain,
    ( ! [X53] :
        ( ~ c1_1(X53)
        | ~ c3_1(X53)
        | ~ c0_1(X53) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f1677,plain,
    ( spl0_124
    | spl0_165
    | ~ spl0_13
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1656,f425,f296,f1084,f840]) ).

fof(f1656,plain,
    ( c3_1(a596)
    | c0_1(a596)
    | ~ spl0_13
    | ~ spl0_43 ),
    inference(resolution,[],[f297,f427]) ).

fof(f427,plain,
    ( c2_1(a596)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1671,plain,
    ( spl0_135
    | spl0_173
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1661,f716,f296,f1182,f904]) ).

fof(f1661,plain,
    ( c3_1(a604)
    | c0_1(a604)
    | ~ spl0_13
    | ~ spl0_102 ),
    inference(resolution,[],[f297,f718]) ).

fof(f718,plain,
    ( c2_1(a604)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f1602,plain,
    ( ~ spl0_161
    | ~ spl0_30
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1588,f482,f453,f367,f1061]) ).

fof(f1588,plain,
    ( ~ c3_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(resolution,[],[f454,f484]) ).

fof(f1535,plain,
    ( spl0_164
    | spl0_63
    | spl0_73
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1527,f593,f565,f515,f1079]) ).

fof(f565,plain,
    ( spl0_73
  <=> c1_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1527,plain,
    ( c3_1(a609)
    | c0_1(a609)
    | spl0_73
    | ~ spl0_78 ),
    inference(resolution,[],[f594,f567]) ).

fof(f567,plain,
    ( ~ c1_1(a609)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f1476,plain,
    ( spl0_150
    | spl0_167
    | ~ spl0_79
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1463,f773,f596,f1097,f992]) ).

fof(f596,plain,
    ( spl0_79
  <=> ! [X6] :
        ( c1_1(X6)
        | ~ c3_1(X6)
        | c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1463,plain,
    ( c1_1(a602)
    | c0_1(a602)
    | ~ spl0_79
    | ~ spl0_111 ),
    inference(resolution,[],[f597,f775]) ).

fof(f775,plain,
    ( c3_1(a602)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f597,plain,
    ( ! [X6] :
        ( ~ c3_1(X6)
        | c1_1(X6)
        | c0_1(X6) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1475,plain,
    ( spl0_65
    | spl0_166
    | ~ spl0_57
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1461,f596,f487,f1091,f526]) ).

fof(f1461,plain,
    ( c0_1(a599)
    | c1_1(a599)
    | ~ spl0_57
    | ~ spl0_79 ),
    inference(resolution,[],[f597,f489]) ).

fof(f1474,plain,
    ( spl0_77
    | spl0_83
    | ~ spl0_51
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1466,f596,f460,f616,f588]) ).

fof(f588,plain,
    ( spl0_77
  <=> c1_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1466,plain,
    ( c0_1(a625)
    | c1_1(a625)
    | ~ spl0_51
    | ~ spl0_79 ),
    inference(resolution,[],[f597,f462]) ).

fof(f1410,plain,
    ( spl0_20
    | ~ spl0_66
    | ~ spl0_55
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1407,f778,f477,f531,f323]) ).

fof(f323,plain,
    ( spl0_20
  <=> c3_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f531,plain,
    ( spl0_66
  <=> c0_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f477,plain,
    ( spl0_55
  <=> ! [X49] :
        ( c3_1(X49)
        | ~ c0_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f778,plain,
    ( spl0_112
  <=> c1_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1407,plain,
    ( ~ c0_1(a594)
    | c3_1(a594)
    | ~ spl0_55
    | ~ spl0_112 ),
    inference(resolution,[],[f780,f478]) ).

fof(f478,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | c3_1(X49)
        | ~ c0_1(X49) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f780,plain,
    ( c1_1(a594)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f1380,plain,
    ( ~ spl0_122
    | spl0_115
    | ~ spl0_62
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1367,f1163,f511,f794,f829]) ).

fof(f794,plain,
    ( spl0_115
  <=> c2_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1367,plain,
    ( c2_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_62
    | ~ spl0_171 ),
    inference(resolution,[],[f512,f1165]) ).

fof(f1165,plain,
    ( c3_1(a603)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1302,plain,
    ( spl0_83
    | spl0_168
    | ~ spl0_54
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1288,f588,f473,f1112,f616]) ).

fof(f473,plain,
    ( spl0_54
  <=> ! [X20] :
        ( c1_1(X20)
        | c2_1(X20)
        | c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1288,plain,
    ( c2_1(a625)
    | c0_1(a625)
    | ~ spl0_54
    | spl0_77 ),
    inference(resolution,[],[f474,f590]) ).

fof(f590,plain,
    ( ~ c1_1(a625)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f474,plain,
    ( ! [X20] :
        ( c1_1(X20)
        | c2_1(X20)
        | c0_1(X20) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f1301,plain,
    ( spl0_162
    | spl0_126
    | ~ spl0_54
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1284,f1051,f473,f850,f1066]) ).

fof(f1051,plain,
    ( spl0_160
  <=> c1_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1284,plain,
    ( c2_1(a600)
    | c0_1(a600)
    | ~ spl0_54
    | spl0_160 ),
    inference(resolution,[],[f474,f1053]) ).

fof(f1053,plain,
    ( ~ c1_1(a600)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1298,plain,
    ( spl0_76
    | spl0_148
    | ~ spl0_54
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1282,f653,f473,f980,f581]) ).

fof(f581,plain,
    ( spl0_76
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f980,plain,
    ( spl0_148
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f653,plain,
    ( spl0_90
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1282,plain,
    ( c0_1(a598)
    | c2_1(a598)
    | ~ spl0_54
    | spl0_90 ),
    inference(resolution,[],[f474,f655]) ).

fof(f655,plain,
    ( ~ c1_1(a598)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1265,plain,
    ( ~ spl0_85
    | ~ spl0_74
    | ~ spl0_16
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1262,f1171,f307,f571,f628]) ).

fof(f628,plain,
    ( spl0_85
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1262,plain,
    ( ~ c0_1(a672)
    | ~ c2_1(a672)
    | ~ spl0_16
    | ~ spl0_172 ),
    inference(resolution,[],[f1173,f308]) ).

fof(f1173,plain,
    ( c1_1(a672)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1171]) ).

fof(f1203,plain,
    ( spl0_63
    | spl0_73
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1201,f892,f456,f565,f515]) ).

fof(f456,plain,
    ( spl0_50
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | c3_1(X54)
        | c1_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1201,plain,
    ( c1_1(a609)
    | c3_1(a609)
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(resolution,[],[f457,f894]) ).

fof(f457,plain,
    ( ! [X54] :
        ( ~ c2_1(X54)
        | c3_1(X54)
        | c1_1(X54) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1180,plain,
    ( spl0_135
    | ~ spl0_102
    | ~ spl0_32
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1177,f917,f375,f716,f904]) ).

fof(f375,plain,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1177,plain,
    ( ~ c2_1(a604)
    | c0_1(a604)
    | ~ spl0_32
    | ~ spl0_137 ),
    inference(resolution,[],[f919,f376]) ).

fof(f376,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f1116,plain,
    ( spl0_150
    | ~ spl0_140
    | ~ spl0_14
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1103,f773,f300,f935,f992]) ).

fof(f1103,plain,
    ( ~ c2_1(a602)
    | c0_1(a602)
    | ~ spl0_14
    | ~ spl0_111 ),
    inference(resolution,[],[f301,f775]) ).

fof(f1088,plain,
    ( spl0_107
    | spl0_103
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1075,f296,f284,f721,f750]) ).

fof(f750,plain,
    ( spl0_107
  <=> c0_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f721,plain,
    ( spl0_103
  <=> c3_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f284,plain,
    ( spl0_10
  <=> c2_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1075,plain,
    ( c3_1(a593)
    | c0_1(a593)
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(resolution,[],[f297,f286]) ).

fof(f286,plain,
    ( c2_1(a593)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f1054,plain,
    ( ~ spl0_40
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f24,f1051,f410]) ).

fof(f410,plain,
    ( spl0_40
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f24,plain,
    ( ~ c1_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ( c2_1(a615)
        & c0_1(a615)
        & ndr1_0
        & ~ c1_1(a615) )
      | ~ hskp14 )
    & ( ( c1_1(a637)
        & c2_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( hskp5
      | hskp10
      | ! [X0] :
          ( ~ ndr1_0
          | ~ c3_1(X0)
          | ~ c1_1(X0)
          | c2_1(X0) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1) )
      | ! [X2] :
          ( c0_1(X2)
          | ~ ndr1_0
          | ~ c1_1(X2)
          | ~ c3_1(X2) )
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ ndr1_0
          | ~ c2_1(X3)
          | ~ c3_1(X3) ) )
    & ( ! [X4] :
          ( c1_1(X4)
          | ~ ndr1_0
          | c3_1(X4)
          | c0_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c0_1(X5)
          | ~ c2_1(X5) )
      | ! [X6] :
          ( c1_1(X6)
          | ~ ndr1_0
          | c0_1(X6)
          | ~ c3_1(X6) ) )
    & ( hskp17
      | ! [X7] :
          ( c3_1(X7)
          | ~ ndr1_0
          | ~ c0_1(X7)
          | ~ c1_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ c2_1(X8) ) )
    & ( ( ~ c0_1(a593)
        & c2_1(a593)
        & ~ c3_1(a593)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp11
      | ! [X9] :
          ( c3_1(X9)
          | c0_1(X9)
          | ~ ndr1_0
          | ~ c2_1(X9) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c0_1(X10)
          | c1_1(X10)
          | c3_1(X10) ) )
    & ( ! [X11] :
          ( ~ c1_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | ~ c3_1(X13)
          | ~ c2_1(X13) ) )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c3_1(X15)
          | ~ c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c1_1(X16)
          | c2_1(X16)
          | c0_1(X16) ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c3_1(X17) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c1_1(X18)
          | ~ c0_1(X18)
          | ~ c2_1(X18) )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0
          | c2_1(X19) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | c1_1(X20)
          | c0_1(X20)
          | c2_1(X20) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ c2_1(X21) )
      | hskp0 )
    & ( ~ hskp10
      | ( c2_1(a605)
        & c0_1(a605)
        & ndr1_0
        & ~ c3_1(a605) ) )
    & ( hskp2
      | ! [X22] :
          ( c0_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | ~ ndr1_0
          | ~ c0_1(X23)
          | ~ c2_1(X23) )
      | hskp9
      | ! [X24] :
          ( c2_1(X24)
          | ~ c1_1(X24)
          | c0_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | c0_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25) )
      | hskp5
      | ! [X26] :
          ( c2_1(X26)
          | c3_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c1_1(X27)
          | c2_1(X27)
          | ~ ndr1_0
          | ~ c0_1(X27) )
      | hskp12
      | ! [X28] :
          ( ~ ndr1_0
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ c3_1(X28) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c2_1(X29)
          | ~ c0_1(X29) )
      | hskp13
      | ! [X30] :
          ( c0_1(X30)
          | ~ ndr1_0
          | ~ c2_1(X30)
          | ~ c1_1(X30) ) )
    & ( ( ~ c2_1(a644)
        & ~ c0_1(a644)
        & ~ c3_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp4
      | hskp22
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ ndr1_0
          | c2_1(X31)
          | ~ c1_1(X31) ) )
    & ( ~ hskp16
      | ( c1_1(a620)
        & ndr1_0
        & ~ c2_1(a620)
        & ~ c0_1(a620) ) )
    & ( ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c0_1(X32)
          | ~ c3_1(X32) )
      | hskp8
      | hskp14 )
    & ( ! [X33] :
          ( c3_1(X33)
          | ~ ndr1_0
          | c0_1(X33)
          | ~ c1_1(X33) )
      | ! [X34] :
          ( ~ ndr1_0
          | c0_1(X34)
          | c1_1(X34)
          | ~ c3_1(X34) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c0_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35) ) )
    & ( ! [X36] :
          ( c2_1(X36)
          | ~ ndr1_0
          | c0_1(X36)
          | c3_1(X36) )
      | ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0
          | c1_1(X38) ) )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( ~ hskp21
      | ( c3_1(a631)
        & ~ c1_1(a631)
        & ndr1_0
        & c0_1(a631) ) )
    & ( ( c2_1(a609)
        & ~ c1_1(a609)
        & ~ c3_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp13
      | ( c1_1(a614)
        & ~ c3_1(a614)
        & ndr1_0
        & ~ c2_1(a614) ) )
    & ( hskp5
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c0_1(X39)
          | ~ c3_1(X39)
          | c1_1(X39) )
      | hskp14 )
    & ( ! [X40] :
          ( c1_1(X40)
          | ~ ndr1_0
          | c0_1(X40)
          | ~ c2_1(X40) )
      | hskp3
      | hskp4 )
    & ( hskp13
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c1_1(X41)
          | ~ c2_1(X41) )
      | hskp12 )
    & ( ! [X42] :
          ( c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp1
      | ! [X43] :
          ( c1_1(X43)
          | c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X44] :
          ( ~ ndr1_0
          | c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44) ) )
    & ( hskp18
      | hskp17
      | ! [X45] :
          ( ~ c3_1(X45)
          | c1_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c1_1(X47)
          | ~ ndr1_0
          | c3_1(X47)
          | c2_1(X47) )
      | hskp14
      | hskp4 )
    & ( hskp25
      | hskp29
      | hskp23 )
    & ( ~ hskp31
      | ( ndr1_0
        & c2_1(a672)
        & c3_1(a672)
        & c0_1(a672) ) )
    & ( ! [X48] :
          ( c1_1(X48)
          | ~ ndr1_0
          | ~ c0_1(X48)
          | ~ c3_1(X48) )
      | hskp21
      | ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( c1_1(X50)
          | ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c0_1(X50) )
      | ! [X51] :
          ( ~ c1_1(X51)
          | ~ ndr1_0
          | ~ c2_1(X51)
          | c3_1(X51) )
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | ~ ndr1_0
          | c2_1(X52) ) )
    & ( hskp26
      | hskp30
      | hskp3 )
    & ( ( ~ c0_1(a645)
        & ~ c2_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ! [X53] :
          ( ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp18
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ ndr1_0
          | c1_1(X54)
          | c3_1(X54) ) )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( ( ndr1_0
        & c3_1(a595)
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ( c3_1(a602)
        & c2_1(a602)
        & ndr1_0
        & ~ c0_1(a602) )
      | ~ hskp7 )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0
          | ~ c2_1(X55) )
      | hskp10
      | ! [X56] :
          ( ~ c1_1(X56)
          | c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c3_1(X57)
          | ~ ndr1_0
          | ~ c1_1(X57)
          | c2_1(X57) )
      | hskp12
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c1_1(X59) )
      | ! [X60] :
          ( c3_1(X60)
          | ~ ndr1_0
          | ~ c0_1(X60)
          | c2_1(X60) )
      | ! [X61] :
          ( ~ ndr1_0
          | c2_1(X61)
          | c0_1(X61)
          | c3_1(X61) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | c3_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62) )
      | hskp19
      | hskp28 )
    & ( ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | hskp4
      | hskp8 )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c0_1(X64) )
      | hskp18
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a656)
        & c1_1(a656)
        & c3_1(a656) )
      | ~ hskp25 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & ndr1_0
        & c1_1(a604) )
      | ~ hskp9 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ ndr1_0
          | ~ c2_1(X66) )
      | hskp7
      | hskp19 )
    & ( ( c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0
        & c1_1(a651) )
      | ~ hskp24 )
    & ( hskp8
      | ! [X67] :
          ( c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0
          | ~ c0_1(X67) )
      | ! [X68] :
          ( c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0
          | ~ c1_1(X68) ) )
    & ( hskp1
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ ndr1_0
          | c0_1(X69)
          | c3_1(X69) )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ ndr1_0
          | c1_1(X70)
          | ~ c0_1(X70) ) )
    & ( ! [X71] :
          ( c3_1(X71)
          | ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71) )
      | hskp14 )
    & ( hskp29
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c0_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c3_1(X73) ) )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ~ c2_1(a603)
        & c0_1(a603)
        & ndr1_0 ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | c2_1(X74) )
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X76] :
          ( ~ c0_1(X76)
          | ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c1_1(X76) )
      | ! [X77] :
          ( c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0
          | c2_1(X77) )
      | ! [X78] :
          ( c3_1(X78)
          | ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c2_1(X78) ) )
    & ( ~ hskp26
      | ( ~ c3_1(a667)
        & ~ c0_1(a667)
        & ndr1_0
        & ~ c1_1(a667) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | ~ c3_1(X79)
          | c0_1(X79) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c0_1(X80)
          | ~ c2_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | c2_1(X81)
          | c0_1(X81)
          | c3_1(X81) ) )
    & ( hskp28
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82)
          | c0_1(X82) )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | ~ ndr1_0
          | ~ c1_1(X83) ) )
    & ( ! [X84] :
          ( ~ c1_1(X84)
          | ~ ndr1_0
          | c2_1(X84)
          | ~ c0_1(X84) )
      | ! [X85] :
          ( c3_1(X85)
          | ~ ndr1_0
          | ~ c0_1(X85)
          | c2_1(X85) )
      | hskp29 )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c0_1(X86)
          | ~ ndr1_0
          | c1_1(X86) )
      | ! [X87] :
          ( c0_1(X87)
          | ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c3_1(X87) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88) ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90) )
      | hskp14 )
    & ( ~ hskp2
      | ( c2_1(a596)
        & ~ c0_1(a596)
        & ~ c1_1(a596)
        & ndr1_0 ) )
    & ( hskp22
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0
          | c3_1(X91) )
      | hskp0 )
    & ( hskp24
      | ! [X92] :
          ( ~ ndr1_0
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92) )
      | ! [X93] :
          ( ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0
          | ~ c0_1(X93) ) )
    & ( hskp16
      | hskp15
      | ! [X94] :
          ( c0_1(X94)
          | ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c2_1(X94) ) )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ ndr1_0
          | c0_1(X95)
          | c2_1(X95) )
      | ! [X96] :
          ( c1_1(X96)
          | ~ c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c0_1(X97)
          | ~ c2_1(X97)
          | c3_1(X97) ) )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c0_1(X98)
          | c3_1(X98) )
      | hskp25 )
    & ( hskp30
      | ! [X99] :
          ( c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0
          | ~ c0_1(X99) )
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0
          | ~ c2_1(X100) ) )
    & ( ~ hskp15
      | ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & ndr1_0
        & c0_1(a619) ) )
    & ( ( ~ c0_1(a608)
        & ndr1_0
        & ~ c3_1(a608)
        & c1_1(a608) )
      | ~ hskp11 )
    & ( ( ndr1_0
        & c0_1(a630)
        & c3_1(a630)
        & ~ c2_1(a630) )
      | ~ hskp20 )
    & ( hskp12
      | hskp10
      | hskp9 )
    & ( ~ hskp27
      | ( ~ c2_1(a690)
        & ~ c1_1(a690)
        & ~ c3_1(a690)
        & ndr1_0 ) )
    & ( hskp13
      | hskp3
      | hskp27 )
    & ( ~ hskp1
      | ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) ) )
    & ( hskp2
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c0_1(X101) )
      | hskp28 )
    & ( ( c3_1(a625)
        & ndr1_0
        & ~ c0_1(a625)
        & ~ c1_1(a625) )
      | ~ hskp18 )
    & ( ( c0_1(a618)
        & c3_1(a618)
        & ndr1_0
        & c1_1(a618) )
      | ~ hskp29 )
    & ( hskp28
      | hskp10
      | hskp2 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp28
      | ! [X102] :
          ( c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp7
      | ! [X103] :
          ( c0_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0
          | c3_1(X103) )
      | hskp28 )
    & ( ( ~ c3_1(a597)
        & c1_1(a597)
        & c2_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( c3_1(a599)
        & c2_1(a599)
        & ndr1_0
        & ~ c1_1(a599) )
      | ~ hskp5 )
    & ( hskp4
      | hskp1
      | hskp21 )
    & ( ! [X104] :
          ( c0_1(X104)
          | ~ ndr1_0
          | ~ c3_1(X104)
          | c1_1(X104) )
      | hskp5
      | hskp6 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105)
          | ~ c1_1(X105) )
      | hskp18
      | hskp5 )
    & ( ( c3_1(a600)
        & ~ c1_1(a600)
        & ~ c2_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a627)
        & ~ c3_1(a627)
        & ndr1_0
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp23
      | hskp22
      | ! [X106] :
          ( c2_1(X106)
          | ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c0_1(X106) ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107) )
      | hskp7
      | ! [X108] :
          ( ~ ndr1_0
          | c0_1(X108)
          | c3_1(X108)
          | c2_1(X108) ) )
    & ( ( ~ c1_1(a598)
        & ~ c2_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | ~ ndr1_0
          | ~ c0_1(X109) )
      | ! [X110] :
          ( c0_1(X110)
          | ~ ndr1_0
          | c1_1(X110)
          | c2_1(X110) )
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ ndr1_0
          | ~ c0_1(X111)
          | c2_1(X111) ) )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0
          | ~ c1_1(X112) )
      | hskp29
      | hskp6 )
    & ( hskp9
      | hskp24 )
    & ( hskp20
      | ! [X113] :
          ( ~ c0_1(X113)
          | c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114)
          | ~ ndr1_0 ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ( c2_1(a615)
        & c0_1(a615)
        & ndr1_0
        & ~ c1_1(a615) )
      | ~ hskp14 )
    & ( ( c1_1(a637)
        & c2_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( hskp5
      | hskp10
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | c0_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41) )
      | ! [X43] :
          ( c0_1(X43)
          | ~ ndr1_0
          | ~ c1_1(X43)
          | ~ c3_1(X43) )
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c3_1(X42) ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ ndr1_0
          | c3_1(X70)
          | c0_1(X70) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68) )
      | ! [X69] :
          ( c1_1(X69)
          | ~ ndr1_0
          | c0_1(X69)
          | ~ c3_1(X69) ) )
    & ( hskp17
      | ! [X15] :
          ( c3_1(X15)
          | ~ ndr1_0
          | ~ c0_1(X15)
          | ~ c1_1(X15) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ c2_1(X16) ) )
    & ( ( ~ c0_1(a593)
        & c2_1(a593)
        & ~ c3_1(a593)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp11
      | ! [X14] :
          ( c3_1(X14)
          | c0_1(X14)
          | ~ ndr1_0
          | ~ c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | c1_1(X13)
          | c3_1(X13) ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ c2_1(X91) ) )
    & ( ! [X20] :
          ( ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c3_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75) )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0
          | c2_1(X77) ) )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c1_1(X50)
          | c0_1(X50)
          | c2_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49) )
      | hskp0 )
    & ( ~ hskp10
      | ( c2_1(a605)
        & c0_1(a605)
        & ndr1_0
        & ~ c3_1(a605) ) )
    & ( hskp2
      | ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c2_1(X84) )
      | hskp9
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c0_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95) )
      | hskp5
      | ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( c1_1(X112)
          | c2_1(X112)
          | ~ ndr1_0
          | ~ c0_1(X112) )
      | hskp12
      | ! [X111] :
          ( ~ ndr1_0
          | c2_1(X111)
          | ~ c0_1(X111)
          | ~ c3_1(X111) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67) )
      | hskp13
      | ! [X66] :
          ( c0_1(X66)
          | ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c1_1(X66) ) )
    & ( ( ~ c2_1(a644)
        & ~ c0_1(a644)
        & ~ c3_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp4
      | hskp22
      | ! [X113] :
          ( ~ c0_1(X113)
          | ~ ndr1_0
          | c2_1(X113)
          | ~ c1_1(X113) ) )
    & ( ~ hskp16
      | ( c1_1(a620)
        & ndr1_0
        & ~ c2_1(a620)
        & ~ c0_1(a620) ) )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | c0_1(X98)
          | ~ c3_1(X98) )
      | hskp8
      | hskp14 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ ndr1_0
          | c0_1(X108)
          | ~ c1_1(X108) )
      | ! [X109] :
          ( ~ ndr1_0
          | c0_1(X109)
          | c1_1(X109)
          | ~ c3_1(X109) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110) ) )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ ndr1_0
          | c0_1(X58)
          | c3_1(X58) )
      | ! [X59] :
          ( c0_1(X59)
          | c1_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0
          | c1_1(X57) ) )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( ~ hskp21
      | ( c3_1(a631)
        & ~ c1_1(a631)
        & ndr1_0
        & c0_1(a631) ) )
    & ( ( c2_1(a609)
        & ~ c1_1(a609)
        & ~ c3_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ~ hskp13
      | ( c1_1(a614)
        & ~ c3_1(a614)
        & ndr1_0
        & ~ c2_1(a614) ) )
    & ( hskp5
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | c1_1(X26) )
      | hskp14 )
    & ( ! [X36] :
          ( c1_1(X36)
          | ~ ndr1_0
          | c0_1(X36)
          | ~ c2_1(X36) )
      | hskp3
      | hskp4 )
    & ( hskp13
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | c1_1(X107)
          | ~ c2_1(X107) )
      | hskp12 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp1
      | ! [X100] :
          ( c1_1(X100)
          | c0_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X18] :
          ( ~ ndr1_0
          | c0_1(X18)
          | c3_1(X18)
          | ~ c2_1(X18) ) )
    & ( hskp18
      | hskp17
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ ndr1_0
          | c3_1(X79)
          | c2_1(X79) )
      | hskp14
      | hskp4 )
    & ( hskp25
      | hskp29
      | hskp23 )
    & ( ~ hskp31
      | ( ndr1_0
        & c2_1(a672)
        & c3_1(a672)
        & c0_1(a672) ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ ndr1_0
          | ~ c0_1(X65)
          | ~ c3_1(X65) )
      | hskp21
      | ! [X64] :
          ( c3_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86) )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ ndr1_0
          | ~ c2_1(X88)
          | c3_1(X88) )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | ~ ndr1_0
          | c2_1(X87) ) )
    & ( hskp26
      | hskp30
      | hskp3 )
    & ( ( ~ c0_1(a645)
        & ~ c2_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ! [X97] :
          ( ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp18
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ ndr1_0
          | c1_1(X96)
          | c3_1(X96) ) )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( ( ndr1_0
        & c3_1(a595)
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ( c3_1(a602)
        & c2_1(a602)
        & ndr1_0
        & ~ c0_1(a602) )
      | ~ hskp7 )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0
          | ~ c2_1(X8) )
      | hskp10
      | ! [X9] :
          ( ~ c1_1(X9)
          | c2_1(X9)
          | c0_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ ndr1_0
          | ~ c1_1(X56)
          | c2_1(X56) )
      | hskp12
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c0_1(X29)
          | ~ ndr1_0
          | ~ c2_1(X29)
          | ~ c1_1(X29) )
      | ! [X27] :
          ( c3_1(X27)
          | ~ ndr1_0
          | ~ c0_1(X27)
          | c2_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | c2_1(X28)
          | c0_1(X28)
          | c3_1(X28) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c2_1(X1)
          | ~ c0_1(X1) )
      | hskp19
      | hskp28 )
    & ( ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp4
      | hskp8 )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c0_1(X61) )
      | hskp18
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a656)
        & c1_1(a656)
        & c3_1(a656) )
      | ~ hskp25 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & ndr1_0
        & c1_1(a604) )
      | ~ hskp9 )
    & ( ! [X40] :
          ( c1_1(X40)
          | c3_1(X40)
          | ~ ndr1_0
          | ~ c2_1(X40) )
      | hskp7
      | hskp19 )
    & ( ( c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0
        & c1_1(a651) )
      | ~ hskp24 )
    & ( hskp8
      | ! [X31] :
          ( c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0
          | ~ c0_1(X31) )
      | ! [X30] :
          ( c2_1(X30)
          | c0_1(X30)
          | ~ ndr1_0
          | ~ c1_1(X30) ) )
    & ( hskp1
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ ndr1_0
          | c0_1(X33)
          | c3_1(X33) )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ ndr1_0
          | c1_1(X32)
          | ~ c0_1(X32) ) )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ ndr1_0
          | ~ c2_1(X114)
          | ~ c0_1(X114) )
      | hskp14 )
    & ( hskp29
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c0_1(X92)
          | ~ ndr1_0
          | ~ c2_1(X92)
          | ~ c3_1(X92) ) )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ~ c2_1(a603)
        & c0_1(a603)
        & ndr1_0 ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c0_1(X2)
          | ~ c1_1(X2)
          | c2_1(X2) )
      | ! [X3] :
          ( ~ c0_1(X3)
          | ~ c2_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X46] :
          ( ~ c0_1(X46)
          | ~ ndr1_0
          | ~ c2_1(X46)
          | ~ c1_1(X46) )
      | ! [X44] :
          ( c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0
          | c2_1(X44) )
      | ! [X45] :
          ( c3_1(X45)
          | ~ ndr1_0
          | ~ c1_1(X45)
          | ~ c2_1(X45) ) )
    & ( ~ hskp26
      | ( ~ c3_1(a667)
        & ~ c0_1(a667)
        & ndr1_0
        & ~ c1_1(a667) ) )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c1_1(X37)
          | ~ c3_1(X37)
          | c0_1(X37) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c0_1(X39)
          | ~ c2_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | c2_1(X38)
          | c0_1(X38)
          | c3_1(X38) ) )
    & ( hskp28
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | c3_1(X47)
          | c0_1(X47) )
      | ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0
          | ~ c1_1(X48) ) )
    & ( ! [X101] :
          ( ~ c1_1(X101)
          | ~ ndr1_0
          | c2_1(X101)
          | ~ c0_1(X101) )
      | ! [X102] :
          ( c3_1(X102)
          | ~ ndr1_0
          | ~ c0_1(X102)
          | c2_1(X102) )
      | hskp29 )
    & ( ! [X103] :
          ( ~ c3_1(X103)
          | c0_1(X103)
          | ~ ndr1_0
          | c1_1(X103) )
      | ! [X104] :
          ( c0_1(X104)
          | ~ ndr1_0
          | ~ c2_1(X104)
          | ~ c3_1(X104) )
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c2_1(X105)
          | ~ c3_1(X105) ) )
    & ( ! [X62] :
          ( ~ c1_1(X62)
          | c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | ~ c0_1(X63)
          | ~ c2_1(X63) )
      | hskp14 )
    & ( ~ hskp2
      | ( c2_1(a596)
        & ~ c0_1(a596)
        & ~ c1_1(a596)
        & ndr1_0 ) )
    & ( hskp22
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0
          | c3_1(X19) )
      | hskp0 )
    & ( hskp24
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | ~ c0_1(X23)
          | ~ c1_1(X23) )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0
          | ~ c0_1(X24) ) )
    & ( hskp16
      | hskp15
      | ! [X17] :
          ( c0_1(X17)
          | ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c2_1(X17) ) )
    & ( ! [X5] :
          ( c1_1(X5)
          | ~ ndr1_0
          | c0_1(X5)
          | c2_1(X5) )
      | ! [X6] :
          ( c1_1(X6)
          | ~ c3_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c0_1(X4)
          | ~ c2_1(X4)
          | c3_1(X4) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12) )
      | hskp25 )
    & ( hskp30
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0
          | ~ c0_1(X53) )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0
          | ~ c2_1(X54) ) )
    & ( ~ hskp15
      | ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & ndr1_0
        & c0_1(a619) ) )
    & ( ( ~ c0_1(a608)
        & ndr1_0
        & ~ c3_1(a608)
        & c1_1(a608) )
      | ~ hskp11 )
    & ( ( ndr1_0
        & c0_1(a630)
        & c3_1(a630)
        & ~ c2_1(a630) )
      | ~ hskp20 )
    & ( hskp12
      | hskp10
      | hskp9 )
    & ( ~ hskp27
      | ( ~ c2_1(a690)
        & ~ c1_1(a690)
        & ~ c3_1(a690)
        & ndr1_0 ) )
    & ( hskp13
      | hskp3
      | hskp27 )
    & ( ~ hskp1
      | ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) ) )
    & ( hskp2
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c0_1(X71) )
      | hskp28 )
    & ( ( c3_1(a625)
        & ndr1_0
        & ~ c0_1(a625)
        & ~ c1_1(a625) )
      | ~ hskp18 )
    & ( ( c0_1(a618)
        & c3_1(a618)
        & ndr1_0
        & c1_1(a618) )
      | ~ hskp29 )
    & ( hskp28
      | hskp10
      | hskp2 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp28
      | ! [X82] :
          ( c3_1(X82)
          | ~ c2_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp7
      | ! [X106] :
          ( c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0
          | c3_1(X106) )
      | hskp28 )
    & ( ( ~ c3_1(a597)
        & c1_1(a597)
        & c2_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( c3_1(a599)
        & c2_1(a599)
        & ndr1_0
        & ~ c1_1(a599) )
      | ~ hskp5 )
    & ( hskp4
      | hskp1
      | hskp21 )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ ndr1_0
          | ~ c3_1(X35)
          | c1_1(X35) )
      | hskp5
      | hskp6 )
    & ( ! [X0] :
          ( ~ ndr1_0
          | ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0) )
      | hskp18
      | hskp5 )
    & ( ( c3_1(a600)
        & ~ c1_1(a600)
        & ~ c2_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a627)
        & ~ c3_1(a627)
        & ndr1_0
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp23
      | hskp22
      | ! [X25] :
          ( c2_1(X25)
          | ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c0_1(X25) ) )
    & ( ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ c2_1(X80) )
      | hskp7
      | ! [X81] :
          ( ~ ndr1_0
          | c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) ) )
    & ( ( ~ c1_1(a598)
        & ~ c2_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0
          | ~ c0_1(X73) )
      | ! [X74] :
          ( c0_1(X74)
          | ~ ndr1_0
          | c1_1(X74)
          | c2_1(X74) )
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72) ) )
    & ( ! [X51] :
          ( c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0
          | ~ c1_1(X51) )
      | hskp29
      | hskp6 )
    & ( hskp9
      | hskp24 )
    & ( hskp20
      | ! [X11] :
          ( ~ c0_1(X11)
          | c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp20
      | ! [X11] :
          ( c1_1(X11)
          | ~ c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | c2_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 ) )
    & ( ~ hskp16
      | ( c1_1(a620)
        & ndr1_0
        & ~ c2_1(a620)
        & ~ c0_1(a620) ) )
    & ( ( c3_1(a602)
        & c2_1(a602)
        & ndr1_0
        & ~ c0_1(a602) )
      | ~ hskp7 )
    & ( hskp26
      | hskp30
      | hskp3 )
    & ( hskp25
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp6
      | ! [X51] :
          ( ~ c1_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp24
      | ! [X23] :
          ( c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp13
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp8
      | ! [X98] :
          ( ~ c1_1(X98)
          | c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a595)
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp29
      | hskp23 )
    & ( hskp11
      | ! [X14] :
          ( c3_1(X14)
          | ~ c2_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c3_1(X13)
          | c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp0
      | hskp22
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c2_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | hskp7
      | hskp19 )
    & ( ~ hskp21
      | ( c3_1(a631)
        & ~ c1_1(a631)
        & ndr1_0
        & c0_1(a631) ) )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & ndr1_0
        & c1_1(a604) )
      | ~ hskp9 )
    & ( hskp28
      | hskp10
      | hskp2 )
    & ( ~ hskp1
      | ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) ) )
    & ( ! [X32] :
          ( ~ c3_1(X32)
          | c1_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp1
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c0_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a598)
        & ~ c2_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ndr1_0
        & c0_1(a630)
        & c3_1(a630)
        & ~ c2_1(a630) )
      | ~ hskp20 )
    & ( ( c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0
        & c1_1(a651) )
      | ~ hskp24 )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c3_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c0_1(X103)
          | c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( c2_1(a596)
        & ~ c0_1(a596)
        & ~ c1_1(a596)
        & ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c1_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | hskp2
      | hskp28 )
    & ( ( ~ c2_1(a644)
        & ~ c0_1(a644)
        & ~ c3_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp28
      | ! [X48] :
          ( ~ c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp24 )
    & ( hskp5
      | hskp18
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( c1_1(a614)
        & ~ c3_1(a614)
        & ndr1_0
        & ~ c2_1(a614) ) )
    & ( ( c3_1(a600)
        & ~ c1_1(a600)
        & ~ c2_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c2_1(a615)
        & c0_1(a615)
        & ndr1_0
        & ~ c1_1(a615) )
      | ~ hskp14 )
    & ( ( ~ c0_1(a593)
        & c2_1(a593)
        & ~ c3_1(a593)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( c3_1(a599)
        & c2_1(a599)
        & ndr1_0
        & ~ c1_1(a599) )
      | ~ hskp5 )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ~ hskp10
      | ( c2_1(a605)
        & c0_1(a605)
        & ndr1_0
        & ~ c3_1(a605) ) )
    & ( ~ hskp15
      | ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & ndr1_0
        & c0_1(a619) ) )
    & ( hskp14
      | hskp4
      | ! [X79] :
          ( c2_1(X79)
          | c1_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c3_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c0_1(X100)
          | ~ c2_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp29
      | ! [X93] :
          ( ~ c2_1(X93)
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X1] :
          ( ~ c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ( c3_1(a625)
        & ndr1_0
        & ~ c0_1(a625)
        & ~ c1_1(a625) )
      | ~ hskp18 )
    & ( ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | hskp5
      | ! [X95] :
          ( c0_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X15] :
          ( c3_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a627)
        & ~ c3_1(a627)
        & ndr1_0
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp15
      | hskp16
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X96] :
          ( c1_1(X96)
          | ~ c2_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c3_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X4] :
          ( ~ c0_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X36] :
          ( ~ c2_1(X36)
          | c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | hskp0
      | ! [X49] :
          ( ~ c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c1_1(X37)
          | c0_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c3_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp3
      | hskp27 )
    & ( hskp18
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c1_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X3] :
          ( ~ c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | hskp12
      | ! [X2] :
          ( c2_1(X2)
          | ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a597)
        & c1_1(a597)
        & c2_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ( c0_1(a618)
        & c3_1(a618)
        & ndr1_0
        & c1_1(a618) )
      | ~ hskp29 )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c0_1(X109)
          | c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | c3_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ~ c2_1(a603)
        & c0_1(a603)
        & ndr1_0 ) )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( hskp28
      | hskp2
      | ! [X71] :
          ( ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp4
      | hskp8
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c1_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c2_1(a672)
        & c3_1(a672)
        & c0_1(a672) ) )
    & ( ( ~ c0_1(a608)
        & ndr1_0
        & ~ c3_1(a608)
        & c1_1(a608) )
      | ~ hskp11 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c1_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X18] :
          ( c0_1(X18)
          | c3_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c2_1(X22)
          | c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c1_1(X21)
          | c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c2_1(X7)
          | ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | hskp5
      | hskp10 )
    & ( hskp21
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( hskp14
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | c1_1(X35)
          | c0_1(X35)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( hskp28
      | hskp7
      | ! [X106] :
          ( c3_1(X106)
          | c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c0_1(X81)
          | c2_1(X81)
          | c3_1(X81)
          | ~ ndr1_0 )
      | hskp7
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X31] :
          ( c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( ~ c2_1(a690)
        & ~ c1_1(a690)
        & ~ c3_1(a690)
        & ndr1_0 ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a656)
        & c1_1(a656)
        & c3_1(a656) )
      | ~ hskp25 )
    & ( ( ~ c0_1(a645)
        & ~ c2_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c3_1(X111)
          | c2_1(X111)
          | ~ ndr1_0 )
      | hskp12
      | ! [X112] :
          ( c1_1(X112)
          | c2_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | hskp21 )
    & ( ~ hskp26
      | ( ~ c3_1(a667)
        & ~ c0_1(a667)
        & ndr1_0
        & ~ c1_1(a667) ) )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( ( c1_1(a637)
        & c2_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ! [X28] :
          ( c2_1(X28)
          | c3_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c1_1(X83)
          | c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp17
      | ! [X85] :
          ( c2_1(X85)
          | ~ c3_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | hskp18 )
    & ( hskp12
      | hskp10
      | hskp9 )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c0_1(X70)
          | c1_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X113] :
          ( ~ c0_1(X113)
          | c2_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ( c2_1(a609)
        & ~ c1_1(a609)
        & ~ c3_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp16 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp20
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c3_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c2_1(X10)
            | ~ c0_1(X10) ) ) )
    & ( ~ hskp16
      | ( c1_1(a620)
        & ndr1_0
        & ~ c2_1(a620)
        & ~ c0_1(a620) ) )
    & ( ( c3_1(a602)
        & c2_1(a602)
        & ndr1_0
        & ~ c0_1(a602) )
      | ~ hskp7 )
    & ( hskp26
      | hskp30
      | hskp3 )
    & ( hskp25
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp29
      | hskp6
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c0_1(X24)
            | ~ c3_1(X24) ) )
      | hskp24
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp13
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp14
      | hskp8
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c0_1(X98)
            | ~ c3_1(X98) ) ) )
    & ( ( ndr1_0
        & c3_1(a595)
        & c1_1(a595)
        & c2_1(a595) )
      | ~ hskp28 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c0_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c3_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) ) )
    & ( hskp25
      | hskp29
      | hskp23 )
    & ( hskp11
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | ~ c2_1(X14)
            | c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | ~ c0_1(X13) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | ~ c2_1(X54)
            | ~ c3_1(X54) ) )
      | hskp30 )
    & ( hskp0
      | hskp22
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) )
      | hskp7
      | hskp19 )
    & ( ~ hskp21
      | ( c3_1(a631)
        & ~ c1_1(a631)
        & ndr1_0
        & c0_1(a631) ) )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & ndr1_0
        & c1_1(a604) )
      | ~ hskp9 )
    & ( hskp28
      | hskp10
      | hskp2 )
    & ( ~ hskp1
      | ( c0_1(a594)
        & ndr1_0
        & ~ c3_1(a594)
        & c1_1(a594) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c1_1(X32)
            | ~ c0_1(X32) ) )
      | hskp1
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c1_1(X33)
            | c3_1(X33) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c0_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | c2_1(X73)
            | ~ c0_1(X73) ) ) )
    & ( hskp29
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c0_1(X101)
            | c2_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) ) )
    & ( ( ~ c1_1(a598)
        & ~ c2_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ndr1_0
        & c0_1(a630)
        & c3_1(a630)
        & ~ c2_1(a630) )
      | ~ hskp20 )
    & ( ( c3_1(a651)
        & ~ c2_1(a651)
        & ndr1_0
        & c1_1(a651) )
      | ~ hskp24 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c3_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c2_1(X105)
            | ~ c3_1(X105) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c0_1(X103)
            | c1_1(X103)
            | ~ c3_1(X103) ) ) )
    & ( ~ hskp2
      | ( c2_1(a596)
        & ~ c0_1(a596)
        & ~ c1_1(a596)
        & ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c3_1(X25)
            | c2_1(X25) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) )
      | hskp2
      | hskp28 )
    & ( ( ~ c2_1(a644)
        & ~ c0_1(a644)
        & ~ c3_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp28
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) ) )
    & ( hskp9
      | hskp24 )
    & ( hskp5
      | hskp18
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c1_1(X0)
            | ~ c3_1(X0) ) ) )
    & ( ~ hskp13
      | ( c1_1(a614)
        & ~ c3_1(a614)
        & ndr1_0
        & ~ c2_1(a614) ) )
    & ( ( c3_1(a600)
        & ~ c1_1(a600)
        & ~ c2_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c2_1(a615)
        & c0_1(a615)
        & ndr1_0
        & ~ c1_1(a615) )
      | ~ hskp14 )
    & ( ( ~ c0_1(a593)
        & c2_1(a593)
        & ~ c3_1(a593)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( c3_1(a599)
        & c2_1(a599)
        & ndr1_0
        & ~ c1_1(a599) )
      | ~ hskp5 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c0_1(X89)
            | ~ c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c3_1(X91)
            | ~ c2_1(X91) ) ) )
    & ( hskp14
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c0_1(X26)
            | ~ c3_1(X26) ) )
      | hskp5 )
    & ( ~ hskp10
      | ( c2_1(a605)
        & c0_1(a605)
        & ndr1_0
        & ~ c3_1(a605) ) )
    & ( ~ hskp15
      | ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & ndr1_0
        & c0_1(a619) ) )
    & ( hskp14
      | hskp4
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | c1_1(X79)
            | c3_1(X79) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c3_1(X99)
            | ~ c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c0_1(X100)
            | ~ c2_1(X100)
            | c1_1(X100) ) )
      | hskp1 )
    & ( hskp29
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | ~ c1_1(X93)
            | ~ c0_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c3_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp19
      | hskp28
      | ! [X1] :
          ( ndr1_0
         => ( ~ c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) ) )
    & ( hskp4
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | ~ c2_1(X82) ) )
      | hskp28 )
    & ( ( c3_1(a625)
        & ndr1_0
        & ~ c0_1(a625)
        & ~ c1_1(a625) )
      | ~ hskp18 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) )
      | hskp5
      | ! [X95] :
          ( ndr1_0
         => ( c0_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) ) )
    & ( hskp17
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c3_1(X16)
            | ~ c1_1(X16) ) ) )
    & ( ( ~ c2_1(a627)
        & ~ c3_1(a627)
        & ndr1_0
        & c0_1(a627) )
      | ~ hskp19 )
    & ( hskp15
      | hskp16
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp18
      | ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c2_1(X96)
            | c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c3_1(X97)
            | ~ c1_1(X97) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c3_1(X88)
            | ~ c2_1(X88) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | hskp14 )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | c3_1(X4)
            | ~ c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | ~ c3_1(X6) ) ) )
    & ( hskp4
      | hskp3
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | c0_1(X36)
            | c1_1(X36) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) )
      | hskp0
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c0_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c3_1(X39)
            | c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) ) )
    & ( hskp13
      | hskp3
      | hskp27 )
    & ( hskp18
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | ~ c1_1(X61)
            | ~ c2_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | ~ c1_1(X60)
            | c2_1(X60) ) ) )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | c1_1(X3)
            | ~ c2_1(X3) ) )
      | hskp12
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c0_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( ( ~ c3_1(a597)
        & c1_1(a597)
        & c2_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c0_1(X55)
            | ~ c2_1(X55) ) )
      | hskp12 )
    & ( ( c0_1(a618)
        & c3_1(a618)
        & ndr1_0
        & c1_1(a618) )
      | ~ hskp29 )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c1_1(X110)
            | c3_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c0_1(X109)
            | c1_1(X109)
            | ~ c3_1(X109) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c3_1(X108)
            | c0_1(X108) ) ) )
    & ( ~ hskp8
      | ( ~ c1_1(a603)
        & ~ c2_1(a603)
        & c0_1(a603)
        & ndr1_0 ) )
    & ( hskp31
      | hskp24
      | hskp1 )
    & ( hskp28
      | hskp2
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c3_1(X71)
            | ~ c0_1(X71) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c3_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) )
      | hskp10 )
    & ( hskp4
      | hskp8
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | ~ c1_1(X78)
            | c2_1(X78) ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c2_1(a672)
        & c3_1(a672)
        & c0_1(a672) ) )
    & ( ( ~ c0_1(a608)
        & ndr1_0
        & ~ c3_1(a608)
        & c1_1(a608) )
      | ~ hskp11 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c1_1(X59)
            | c3_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | c2_1(X58)
            | c0_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp5
      | hskp10
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c3_1(X18)
            | ~ c2_1(X18) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c1_1(X22)
            | c3_1(X22) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | ~ c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c0_1(X21)
            | c2_1(X21) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | ~ c3_1(X7)
            | ~ c1_1(X7) ) )
      | hskp5
      | hskp10 )
    & ( hskp21
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | ~ c0_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | c1_1(X107) ) )
      | hskp12
      | hskp13 )
    & ( hskp14
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c0_1(X63)
            | ~ c2_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c3_1(X62)
            | c0_1(X62) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c1_1(X35)
            | c0_1(X35) ) )
      | hskp5
      | hskp6 )
    & ( hskp28
      | hskp7
      | ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | c0_1(X106)
            | ~ c2_1(X106) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | c2_1(X81)
            | c3_1(X81) ) )
      | hskp7
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | ~ c2_1(X80) ) ) )
    & ( hskp8
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | ~ c1_1(X30)
            | c2_1(X30) ) ) )
    & ( ~ hskp27
      | ( ~ c2_1(a690)
        & ~ c1_1(a690)
        & ~ c3_1(a690)
        & ndr1_0 ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | ~ c1_1(X75)
            | ~ c2_1(X75) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c2_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c2_1(X44)
            | c0_1(X44)
            | c1_1(X44) ) ) )
    & ( ( ndr1_0
        & ~ c0_1(a656)
        & c1_1(a656)
        & c3_1(a656) )
      | ~ hskp25 )
    & ( ( ~ c0_1(a645)
        & ~ c2_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c3_1(X111)
            | c2_1(X111) ) )
      | hskp12
      | ! [X112] :
          ( ndr1_0
         => ( c1_1(X112)
            | c2_1(X112)
            | ~ c0_1(X112) ) ) )
    & ( hskp4
      | hskp1
      | hskp21 )
    & ( ~ hskp26
      | ( ~ c3_1(a667)
        & ~ c0_1(a667)
        & ndr1_0
        & ~ c1_1(a667) ) )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( ( c1_1(a637)
        & c2_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c2_1(X28)
            | c3_1(X28)
            | c0_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c0_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) )
      | hskp9 )
    & ( hskp17
      | ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c3_1(X85)
            | c1_1(X85) ) )
      | hskp18 )
    & ( hskp12
      | hskp10
      | hskp9 )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c0_1(X69)
            | c1_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | c1_1(X70)
            | c3_1(X70) ) ) )
    & ( hskp4
      | ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | c2_1(X113)
            | ~ c1_1(X113) ) )
      | hskp22 )
    & ( ( c2_1(a609)
        & ~ c1_1(a609)
        & ~ c3_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( hskp29
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) )
      | hskp16 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp20
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c3_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c2_1(X10)
                | ~ c0_1(X10) ) ) )
        & ( ~ hskp16
          | ( c1_1(a620)
            & ndr1_0
            & ~ c2_1(a620)
            & ~ c0_1(a620) ) )
        & ( ( c3_1(a602)
            & c2_1(a602)
            & ndr1_0
            & ~ c0_1(a602) )
          | ~ hskp7 )
        & ( hskp26
          | hskp30
          | hskp3 )
        & ( hskp25
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp29
          | hskp6
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c0_1(X24)
                | ~ c3_1(X24) ) )
          | hskp24
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp13
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp14
          | hskp8
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c0_1(X98)
                | ~ c3_1(X98) ) ) )
        & ( ( ndr1_0
            & c3_1(a595)
            & c1_1(a595)
            & c2_1(a595) )
          | ~ hskp28 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c0_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( hskp25
          | hskp29
          | hskp23 )
        & ( hskp11
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | ~ c2_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | ~ c2_1(X54)
                | ~ c3_1(X54) ) )
          | hskp30 )
        & ( hskp0
          | hskp22
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) )
          | hskp7
          | hskp19 )
        & ( ~ hskp21
          | ( c3_1(a631)
            & ~ c1_1(a631)
            & ndr1_0
            & c0_1(a631) ) )
        & ( ( ~ c0_1(a604)
            & c2_1(a604)
            & ndr1_0
            & c1_1(a604) )
          | ~ hskp9 )
        & ( hskp28
          | hskp10
          | hskp2 )
        & ( ~ hskp1
          | ( c0_1(a594)
            & ndr1_0
            & ~ c3_1(a594)
            & c1_1(a594) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c1_1(X32)
                | ~ c0_1(X32) ) )
          | hskp1
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | c3_1(X33) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c2_1(X73)
                | ~ c0_1(X73) ) ) )
        & ( hskp29
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) ) )
        & ( ( ~ c1_1(a598)
            & ~ c2_1(a598)
            & ~ c0_1(a598)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ndr1_0
            & c0_1(a630)
            & c3_1(a630)
            & ~ c2_1(a630) )
          | ~ hskp20 )
        & ( ( c3_1(a651)
            & ~ c2_1(a651)
            & ndr1_0
            & c1_1(a651) )
          | ~ hskp24 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c3_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c2_1(X105)
                | ~ c3_1(X105) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c0_1(X103)
                | c1_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( ~ hskp2
          | ( c2_1(a596)
            & ~ c0_1(a596)
            & ~ c1_1(a596)
            & ndr1_0 ) )
        & ( hskp22
          | hskp23
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c3_1(X25)
                | c2_1(X25) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) )
          | hskp2
          | hskp28 )
        & ( ( ~ c2_1(a644)
            & ~ c0_1(a644)
            & ~ c3_1(a644)
            & ndr1_0 )
          | ~ hskp22 )
        & ( hskp28
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( hskp9
          | hskp24 )
        & ( hskp5
          | hskp18
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c1_1(X0)
                | ~ c3_1(X0) ) ) )
        & ( ~ hskp13
          | ( c1_1(a614)
            & ~ c3_1(a614)
            & ndr1_0
            & ~ c2_1(a614) ) )
        & ( ( c3_1(a600)
            & ~ c1_1(a600)
            & ~ c2_1(a600)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( c2_1(a615)
            & c0_1(a615)
            & ndr1_0
            & ~ c1_1(a615) )
          | ~ hskp14 )
        & ( ( ~ c0_1(a593)
            & c2_1(a593)
            & ~ c3_1(a593)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ( c3_1(a599)
            & c2_1(a599)
            & ndr1_0
            & ~ c1_1(a599) )
          | ~ hskp5 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | ~ c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c3_1(X91)
                | ~ c2_1(X91) ) ) )
        & ( hskp14
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c0_1(X26)
                | ~ c3_1(X26) ) )
          | hskp5 )
        & ( ~ hskp10
          | ( c2_1(a605)
            & c0_1(a605)
            & ndr1_0
            & ~ c3_1(a605) ) )
        & ( ~ hskp15
          | ( ~ c3_1(a619)
            & ~ c1_1(a619)
            & ndr1_0
            & c0_1(a619) ) )
        & ( hskp14
          | hskp4
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c1_1(X79)
                | c3_1(X79) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c3_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c0_1(X100)
                | ~ c2_1(X100)
                | c1_1(X100) ) )
          | hskp1 )
        & ( hskp29
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c3_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp19
          | hskp28
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp4
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | hskp28 )
        & ( ( c3_1(a625)
            & ndr1_0
            & ~ c0_1(a625)
            & ~ c1_1(a625) )
          | ~ hskp18 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) )
          | hskp5
          | ! [X95] :
              ( ndr1_0
             => ( c0_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) ) )
        & ( hskp17
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c3_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( ( ~ c2_1(a627)
            & ~ c3_1(a627)
            & ndr1_0
            & c0_1(a627) )
          | ~ hskp19 )
        & ( hskp15
          | hskp16
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp18
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c2_1(X96)
                | c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c3_1(X97)
                | ~ c1_1(X97) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | ~ c2_1(X88) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | hskp14 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c3_1(X4)
                | ~ c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( hskp4
          | hskp3
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c0_1(X36)
                | c1_1(X36) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) )
          | hskp0
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c0_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c3_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) ) )
        & ( hskp13
          | hskp3
          | hskp27 )
        & ( hskp18
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c1_1(X60)
                | c2_1(X60) ) ) )
        & ( ( ~ c2_1(a624)
            & c1_1(a624)
            & c0_1(a624)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c1_1(X3)
                | ~ c2_1(X3) ) )
          | hskp12
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c0_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( ( ~ c3_1(a597)
            & c1_1(a597)
            & c2_1(a597)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c0_1(X55)
                | ~ c2_1(X55) ) )
          | hskp12 )
        & ( ( c0_1(a618)
            & c3_1(a618)
            & ndr1_0
            & c1_1(a618) )
          | ~ hskp29 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c0_1(X109)
                | c1_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c0_1(X108) ) ) )
        & ( ~ hskp8
          | ( ~ c1_1(a603)
            & ~ c2_1(a603)
            & c0_1(a603)
            & ndr1_0 ) )
        & ( hskp31
          | hskp24
          | hskp1 )
        & ( hskp28
          | hskp2
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c3_1(X71)
                | ~ c0_1(X71) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c3_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) )
          | hskp10 )
        & ( hskp4
          | hskp8
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c2_1(a672)
            & c3_1(a672)
            & c0_1(a672) ) )
        & ( ( ~ c0_1(a608)
            & ndr1_0
            & ~ c3_1(a608)
            & c1_1(a608) )
          | ~ hskp11 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c1_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp5
          | hskp10
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c3_1(X18)
                | ~ c2_1(X18) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c3_1(X22) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c0_1(X21)
                | c2_1(X21) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c3_1(X7)
                | ~ c1_1(X7) ) )
          | hskp5
          | hskp10 )
        & ( hskp21
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | ~ c0_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) )
          | hskp12
          | hskp13 )
        & ( hskp14
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c3_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c1_1(X35)
                | c0_1(X35) ) )
          | hskp5
          | hskp6 )
        & ( hskp28
          | hskp7
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | c0_1(X106)
                | ~ c2_1(X106) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | c2_1(X81)
                | c3_1(X81) ) )
          | hskp7
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | ~ c2_1(X80) ) ) )
        & ( hskp8
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) ) )
        & ( ~ hskp27
          | ( ~ c2_1(a690)
            & ~ c1_1(a690)
            & ~ c3_1(a690)
            & ndr1_0 ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c1_1(X75)
                | ~ c2_1(X75) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c2_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c0_1(X44)
                | c1_1(X44) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a656)
            & c1_1(a656)
            & c3_1(a656) )
          | ~ hskp25 )
        & ( ( ~ c0_1(a645)
            & ~ c2_1(a645)
            & c3_1(a645)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c3_1(X111)
                | c2_1(X111) ) )
          | hskp12
          | ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | c2_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp4
          | hskp1
          | hskp21 )
        & ( ~ hskp26
          | ( ~ c3_1(a667)
            & ~ c0_1(a667)
            & ndr1_0
            & ~ c1_1(a667) ) )
        & ( hskp10
          | hskp12
          | hskp18 )
        & ( ( c1_1(a637)
            & c2_1(a637)
            & c0_1(a637)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c3_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c0_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp9 )
        & ( hskp17
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c3_1(X85)
                | c1_1(X85) ) )
          | hskp18 )
        & ( hskp12
          | hskp10
          | hskp9 )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c0_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | c1_1(X70)
                | c3_1(X70) ) ) )
        & ( hskp4
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | c2_1(X113)
                | ~ c1_1(X113) ) )
          | hskp22 )
        & ( ( c2_1(a609)
            & ~ c1_1(a609)
            & ~ c3_1(a609)
            & ndr1_0 )
          | ~ hskp12 )
        & ( hskp29
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | hskp16 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp18
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) ) )
        & ( ~ hskp8
          | ( ~ c1_1(a603)
            & ~ c2_1(a603)
            & c0_1(a603)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & c3_1(a595)
            & c1_1(a595)
            & c2_1(a595) )
          | ~ hskp28 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) )
          | hskp19
          | hskp28 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c1_1(X78)
                | ~ c2_1(X78) ) )
          | hskp12 )
        & ( ( ~ c1_1(a598)
            & ~ c2_1(a598)
            & ~ c0_1(a598)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | c3_1(X5)
                | ~ c2_1(X5) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp10
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) )
          | hskp5 )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c0_1(X45)
                | c2_1(X45) ) )
          | hskp10 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) )
          | hskp20 )
        & ( ( c1_1(a637)
            & c2_1(a637)
            & c0_1(a637)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ~ hskp2
          | ( c2_1(a596)
            & ~ c0_1(a596)
            & ~ c1_1(a596)
            & ndr1_0 ) )
        & ( hskp9
          | hskp24 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c3_1(X110) ) )
          | hskp25 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( ( ~ c3_1(a597)
            & c1_1(a597)
            & c2_1(a597)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a627)
            & ~ c3_1(a627)
            & ndr1_0
            & c0_1(a627) )
          | ~ hskp19 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp17
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) ) )
        & ( hskp15
          | hskp16
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp10
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | hskp5 )
        & ( hskp22
          | hskp0
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) ) )
        & ( ( ~ c2_1(a644)
            & ~ c0_1(a644)
            & ~ c3_1(a644)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c0_1(X105) ) )
          | hskp24 )
        & ( hskp22
          | hskp23
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c2_1(X101)
                | ~ c3_1(X101) ) ) )
        & ( hskp5
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c3_1(X87)
                | ~ c0_1(X87) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) ) )
        & ( hskp8
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( ( c0_1(a618)
            & c3_1(a618)
            & ndr1_0
            & c1_1(a618) )
          | ~ hskp29 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c3_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) )
          | hskp1 )
        & ( ( c3_1(a599)
            & c2_1(a599)
            & ndr1_0
            & ~ c1_1(a599) )
          | ~ hskp5 )
        & ( ( c2_1(a609)
            & ~ c1_1(a609)
            & ~ c3_1(a609)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp16
          | hskp29 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c3_1(X30)
                | c1_1(X30) ) )
          | hskp5
          | hskp6 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | hskp4
          | hskp3 )
        & ( ( c2_1(a615)
            & c0_1(a615)
            & ndr1_0
            & ~ c1_1(a615) )
          | ~ hskp14 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c3_1(X21)
                | c0_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | c3_1(X22)
                | c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c3_1(X23)
                | ~ c2_1(X23) ) ) )
        & ( ( c3_1(a625)
            & ndr1_0
            & ~ c0_1(a625)
            & ~ c1_1(a625) )
          | ~ hskp18 )
        & ( ~ hskp21
          | ( c3_1(a631)
            & ~ c1_1(a631)
            & ndr1_0
            & c0_1(a631) ) )
        & ( hskp19
          | hskp7
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c0_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c3_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c2_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c2_1(X50) ) )
          | hskp28 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | hskp0
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp6
          | hskp29 )
        & ( ( ~ c2_1(a624)
            & c1_1(a624)
            & c0_1(a624)
            & ndr1_0 )
          | ~ hskp17 )
        & ( hskp4
          | hskp1
          | hskp21 )
        & ( hskp2
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp30
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp12
          | hskp10
          | hskp9 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | hskp12 )
        & ( hskp31
          | hskp24
          | hskp1 )
        & ( ~ hskp16
          | ( c1_1(a620)
            & ndr1_0
            & ~ c2_1(a620)
            & ~ c0_1(a620) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c3_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c0_1(X1)
                | c3_1(X1) ) ) )
        & ( ( ~ c0_1(a608)
            & ndr1_0
            & ~ c3_1(a608)
            & c1_1(a608) )
          | ~ hskp11 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) )
          | hskp18 )
        & ( ( ~ c0_1(a604)
            & c2_1(a604)
            & ndr1_0
            & c1_1(a604) )
          | ~ hskp9 )
        & ( ~ hskp10
          | ( c2_1(a605)
            & c0_1(a605)
            & ndr1_0
            & ~ c3_1(a605) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c2_1(a672)
            & c3_1(a672)
            & c0_1(a672) ) )
        & ( hskp14
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c3_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp21
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c3_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( ( c3_1(a600)
            & ~ c1_1(a600)
            & ~ c2_1(a600)
            & ndr1_0 )
          | ~ hskp6 )
        & ( hskp13
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c0_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c2_1(X61)
                | ~ c0_1(X61) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | c3_1(X14)
                | c0_1(X14) ) ) )
        & ( ( c3_1(a651)
            & ~ c2_1(a651)
            & ndr1_0
            & c1_1(a651) )
          | ~ hskp24 )
        & ( hskp26
          | hskp30
          | hskp3 )
        & ( hskp2
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c0_1(X113) ) )
          | hskp28 )
        & ( ( ndr1_0
            & ~ c0_1(a656)
            & c1_1(a656)
            & c3_1(a656) )
          | ~ hskp25 )
        & ( ~ hskp15
          | ( ~ c3_1(a619)
            & ~ c1_1(a619)
            & ndr1_0
            & c0_1(a619) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c3_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c2_1(X7)
                | c3_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) ) )
        & ( ~ hskp1
          | ( c0_1(a594)
            & ndr1_0
            & ~ c3_1(a594)
            & c1_1(a594) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | c3_1(X66) ) ) )
        & ( hskp4
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) )
          | hskp8 )
        & ( ( ~ c0_1(a593)
            & c2_1(a593)
            & ~ c3_1(a593)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ( c3_1(a602)
            & c2_1(a602)
            & ndr1_0
            & ~ c0_1(a602) )
          | ~ hskp7 )
        & ( ( ndr1_0
            & c0_1(a630)
            & c3_1(a630)
            & ~ c2_1(a630) )
          | ~ hskp20 )
        & ( hskp14
          | hskp4
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c3_1(X36)
                | c0_1(X36) ) )
          | hskp7 )
        & ( hskp10
          | hskp12
          | hskp18 )
        & ( hskp28
          | hskp4
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp28
          | hskp10
          | hskp2 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | hskp9
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( hskp18
          | hskp17
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c3_1(X74)
                | c2_1(X74) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c3_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | ~ c1_1(X84) ) ) )
        & ( ~ hskp27
          | ( ~ c2_1(a690)
            & ~ c1_1(a690)
            & ~ c3_1(a690)
            & ndr1_0 ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | c3_1(X94) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | ~ c2_1(X96) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | ~ c2_1(X69) ) )
          | hskp29 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) )
          | hskp5
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | c3_1(X32) ) ) )
        & ( hskp18
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c1_1(X75)
                | c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c3_1(X76)
                | ~ c0_1(X76) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c0_1(X64)
                | ~ c3_1(X64) ) )
          | hskp14
          | hskp8 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) )
          | hskp1 )
        & ( hskp29
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c0_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c2_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( hskp7
          | hskp28
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp13
          | hskp3
          | hskp27 )
        & ( ( ~ c0_1(a645)
            & ~ c2_1(a645)
            & c3_1(a645)
            & ndr1_0 )
          | ~ hskp23 )
        & ( hskp25
          | hskp29
          | hskp23 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp12
          | hskp13 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | ~ c3_1(X24)
                | c0_1(X24) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c1_1(X26)
                | c3_1(X26) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c3_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) )
          | hskp12 )
        & ( ~ hskp13
          | ( c1_1(a614)
            & ~ c3_1(a614)
            & ndr1_0
            & ~ c2_1(a614) ) )
        & ( hskp4
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c2_1(X100)
                | ~ c0_1(X100) ) )
          | hskp22 )
        & ( ~ hskp26
          | ( ~ c3_1(a667)
            & ~ c0_1(a667)
            & ndr1_0
            & ~ c1_1(a667) ) )
        & ( hskp14
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp5
        | hskp18
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) ) )
      & ( ~ hskp8
        | ( ~ c1_1(a603)
          & ~ c2_1(a603)
          & c0_1(a603)
          & ndr1_0 ) )
      & ( ( ndr1_0
          & c3_1(a595)
          & c1_1(a595)
          & c2_1(a595) )
        | ~ hskp28 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | c2_1(X93) ) )
        | hskp19
        | hskp28 )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | c2_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c1_1(X78)
              | ~ c2_1(X78) ) )
        | hskp12 )
      & ( ( ~ c1_1(a598)
          & ~ c2_1(a598)
          & ~ c0_1(a598)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c0_1(X5)
              | c3_1(X5)
              | ~ c2_1(X5) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp10
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) )
        | hskp5 )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | ~ c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c0_1(X45)
              | c2_1(X45) ) )
        | hskp10 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) )
        | hskp20 )
      & ( ( c1_1(a637)
          & c2_1(a637)
          & c0_1(a637)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ~ hskp2
        | ( c2_1(a596)
          & ~ c0_1(a596)
          & ~ c1_1(a596)
          & ndr1_0 ) )
      & ( hskp9
        | hskp24 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c0_1(X110)
              | c3_1(X110) ) )
        | hskp25 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c0_1(X52) ) )
        | hskp11
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( ( ~ c3_1(a597)
          & c1_1(a597)
          & c2_1(a597)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a627)
          & ~ c3_1(a627)
          & ndr1_0
          & c0_1(a627) )
        | ~ hskp19 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | hskp17
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c1_1(X107) ) ) )
      & ( hskp15
        | hskp16
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp10
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | hskp5 )
      & ( hskp22
        | hskp0
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | c3_1(X111) ) ) )
      & ( ( ~ c2_1(a644)
          & ~ c0_1(a644)
          & ~ c3_1(a644)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c3_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c0_1(X105) ) )
        | hskp24 )
      & ( hskp22
        | hskp23
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c2_1(X101)
              | ~ c3_1(X101) ) ) )
      & ( hskp5
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c3_1(X87)
              | ~ c0_1(X87) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | c2_1(X33) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) ) )
      & ( hskp8
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) ) )
      & ( ( c0_1(a618)
          & c3_1(a618)
          & ndr1_0
          & c1_1(a618) )
        | ~ hskp29 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c3_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) )
        | hskp1 )
      & ( ( c3_1(a599)
          & c2_1(a599)
          & ndr1_0
          & ~ c1_1(a599) )
        | ~ hskp5 )
      & ( ( c2_1(a609)
          & ~ c1_1(a609)
          & ~ c3_1(a609)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp16
        | hskp29 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c3_1(X30)
              | c1_1(X30) ) )
        | hskp5
        | hskp6 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | hskp4
        | hskp3 )
      & ( ( c2_1(a615)
          & c0_1(a615)
          & ndr1_0
          & ~ c1_1(a615) )
        | ~ hskp14 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c3_1(X21)
              | c0_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | c3_1(X22)
              | c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c3_1(X23)
              | ~ c2_1(X23) ) ) )
      & ( ( c3_1(a625)
          & ndr1_0
          & ~ c0_1(a625)
          & ~ c1_1(a625) )
        | ~ hskp18 )
      & ( ~ hskp21
        | ( c3_1(a631)
          & ~ c1_1(a631)
          & ndr1_0
          & c0_1(a631) ) )
      & ( hskp19
        | hskp7
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c2_1(X77) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c0_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c3_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | ~ c2_1(X13)
              | ~ c0_1(X13) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c2_1(X50) ) )
        | hskp28 )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c0_1(X10)
              | c3_1(X10) ) )
        | hskp0
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp6
        | hskp29 )
      & ( ( ~ c2_1(a624)
          & c1_1(a624)
          & c0_1(a624)
          & ndr1_0 )
        | ~ hskp17 )
      & ( hskp4
        | hskp1
        | hskp21 )
      & ( hskp2
        | hskp28
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | ~ c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp30
        | ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | ~ c0_1(X91)
              | c2_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp12
        | hskp10
        | hskp9 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c2_1(X53)
              | c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | hskp12 )
      & ( hskp31
        | hskp24
        | hskp1 )
      & ( ~ hskp16
        | ( c1_1(a620)
          & ndr1_0
          & ~ c2_1(a620)
          & ~ c0_1(a620) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c3_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c0_1(X1)
              | c3_1(X1) ) ) )
      & ( ( ~ c0_1(a608)
          & ndr1_0
          & ~ c3_1(a608)
          & c1_1(a608) )
        | ~ hskp11 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) )
        | hskp18 )
      & ( ( ~ c0_1(a604)
          & c2_1(a604)
          & ndr1_0
          & c1_1(a604) )
        | ~ hskp9 )
      & ( ~ hskp10
        | ( c2_1(a605)
          & c0_1(a605)
          & ndr1_0
          & ~ c3_1(a605) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c2_1(a672)
          & c3_1(a672)
          & c0_1(a672) ) )
      & ( hskp14
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c0_1(X63)
              | ~ c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c3_1(X62)
              | c0_1(X62) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp21
        | ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c3_1(X85)
              | ~ c0_1(X85) ) ) )
      & ( ( c3_1(a600)
          & ~ c1_1(a600)
          & ~ c2_1(a600)
          & ndr1_0 )
        | ~ hskp6 )
      & ( hskp13
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c0_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | c2_1(X61)
              | ~ c0_1(X61) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | c3_1(X14)
              | c0_1(X14) ) ) )
      & ( ( c3_1(a651)
          & ~ c2_1(a651)
          & ndr1_0
          & c1_1(a651) )
        | ~ hskp24 )
      & ( hskp26
        | hskp30
        | hskp3 )
      & ( hskp2
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c0_1(X113) ) )
        | hskp28 )
      & ( ( ndr1_0
          & ~ c0_1(a656)
          & c1_1(a656)
          & c3_1(a656) )
        | ~ hskp25 )
      & ( ~ hskp15
        | ( ~ c3_1(a619)
          & ~ c1_1(a619)
          & ndr1_0
          & c0_1(a619) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c3_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | c2_1(X7)
              | c3_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) ) )
      & ( ~ hskp1
        | ( c0_1(a594)
          & ndr1_0
          & ~ c3_1(a594)
          & c1_1(a594) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | ~ c1_1(X66)
              | c3_1(X66) ) ) )
      & ( hskp4
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) )
        | hskp8 )
      & ( ( ~ c0_1(a593)
          & c2_1(a593)
          & ~ c3_1(a593)
          & ndr1_0 )
        | ~ hskp0 )
      & ( ( c3_1(a602)
          & c2_1(a602)
          & ndr1_0
          & ~ c0_1(a602) )
        | ~ hskp7 )
      & ( ( ndr1_0
          & c0_1(a630)
          & c3_1(a630)
          & ~ c2_1(a630) )
        | ~ hskp20 )
      & ( hskp14
        | hskp4
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | c2_1(X71) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c0_1(X37)
              | ~ c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c3_1(X36)
              | c0_1(X36) ) )
        | hskp7 )
      & ( hskp10
        | hskp12
        | hskp18 )
      & ( hskp28
        | hskp4
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp28
        | hskp10
        | hskp2 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | hskp9
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( hskp18
        | hskp17
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c3_1(X74)
              | c2_1(X74) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c3_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c3_1(X84)
              | ~ c1_1(X84) ) ) )
      & ( ~ hskp27
        | ( ~ c2_1(a690)
          & ~ c1_1(a690)
          & ~ c3_1(a690)
          & ndr1_0 ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c2_1(X95)
              | ~ c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c2_1(X94)
              | c3_1(X94) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c3_1(X96)
              | ~ c2_1(X96) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | ~ c2_1(X69) ) )
        | hskp29 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) )
        | hskp5
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | c3_1(X32) ) ) )
      & ( hskp18
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c1_1(X75)
              | c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c3_1(X76)
              | ~ c0_1(X76) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c0_1(X64)
              | ~ c3_1(X64) ) )
        | hskp14
        | hskp8 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c2_1(X17)
              | c1_1(X17) ) )
        | hskp1 )
      & ( hskp29
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c0_1(X89)
              | c2_1(X89) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c0_1(X27)
              | c1_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c0_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | c2_1(X29)
              | ~ c3_1(X29) ) ) )
      & ( hskp7
        | hskp28
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp13
        | hskp3
        | hskp27 )
      & ( ( ~ c0_1(a645)
          & ~ c2_1(a645)
          & c3_1(a645)
          & ndr1_0 )
        | ~ hskp23 )
      & ( hskp25
        | hskp29
        | hskp23 )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c1_1(X88)
              | ~ c2_1(X88) ) )
        | hskp12
        | hskp13 )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c3_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | ~ c3_1(X24)
              | c0_1(X24) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c1_1(X26)
              | c3_1(X26) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c3_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) )
        | hskp12 )
      & ( ~ hskp13
        | ( c1_1(a614)
          & ~ c3_1(a614)
          & ndr1_0
          & ~ c2_1(a614) ) )
      & ( hskp4
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | c2_1(X100)
              | ~ c0_1(X100) ) )
        | hskp22 )
      & ( ~ hskp26
        | ( ~ c3_1(a667)
          & ~ c0_1(a667)
          & ndr1_0
          & ~ c1_1(a667) ) )
      & ( hskp14
        | ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1040,plain,
    ( ~ spl0_2
    | spl0_95
    | spl0_54
    | spl0_16 ),
    inference(avatar_split_clause,[],[f210,f307,f473,f678,f251]) ).

fof(f251,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f210,plain,
    ! [X78,X76,X77] :
      ( ~ c1_1(X76)
      | ~ c0_1(X76)
      | c1_1(X77)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | c0_1(X77)
      | ~ c2_1(X76)
      | c2_1(X77)
      | ~ c1_1(X78)
      | c3_1(X78) ),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ! [X78,X76,X77] :
      ( ~ c2_1(X78)
      | ~ ndr1_0
      | c0_1(X77)
      | ~ ndr1_0
      | c2_1(X77)
      | ~ c1_1(X76)
      | c1_1(X77)
      | ~ c0_1(X76)
      | c3_1(X78)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X78) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1039,plain,
    ( spl0_27
    | spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f28,f337,f327,f353]) ).

fof(f353,plain,
    ( spl0_27
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f327,plain,
    ( spl0_21
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f337,plain,
    ( spl0_23
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f28,plain,
    ( hskp4
    | hskp1
    | hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1006,plain,
    ( spl0_152
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f129,f311,f1003]) ).

fof(f311,plain,
    ( spl0_17
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f129,plain,
    ( ~ hskp28
    | c3_1(a595) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f995,plain,
    ( ~ spl0_106
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f123,f992,f745]) ).

fof(f745,plain,
    ( spl0_106
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f123,plain,
    ( ~ c0_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f990,plain,
    ( spl0_58
    | spl0_80
    | ~ spl0_2
    | spl0_84 ),
    inference(avatar_split_clause,[],[f211,f622,f251,f602,f491]) ).

fof(f491,plain,
    ( spl0_58
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f211,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c2_1(X26)
      | ~ c1_1(X25)
      | hskp5
      | c3_1(X26)
      | c0_1(X26) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X26,X25] :
      ( c2_1(X26)
      | c0_1(X26)
      | c3_1(X25)
      | hskp5
      | c0_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X25)
      | c3_1(X26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f988,plain,
    ( spl0_149
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f206,f344,f985]) ).

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

fof(f206,plain,
    ( ~ hskp14
    | c0_1(a615) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f983,plain,
    ( ~ spl0_23
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f13,f980,f337]) ).

fof(f13,plain,
    ( ~ c0_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f978,plain,
    ( ~ spl0_2
    | spl0_82
    | spl0_59
    | spl0_18 ),
    inference(avatar_split_clause,[],[f212,f315,f498,f612,f251]) ).

fof(f498,plain,
    ( spl0_59
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f212,plain,
    ! [X24,X23] :
      ( ~ c3_1(X23)
      | hskp9
      | c2_1(X24)
      | ~ c2_1(X23)
      | ~ c1_1(X24)
      | c0_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X23) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X24,X23] :
      ( ~ c2_1(X23)
      | ~ c1_1(X24)
      | hskp9
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X23)
      | c2_1(X24)
      | c0_1(X24)
      | ~ c3_1(X23) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f972,plain,
    ( ~ spl0_2
    | spl0_79
    | spl0_80
    | spl0_14 ),
    inference(avatar_split_clause,[],[f213,f300,f602,f596,f251]) ).

fof(f213,plain,
    ! [X80,X81,X79] :
      ( c0_1(X80)
      | c3_1(X81)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c1_1(X79)
      | ~ c3_1(X80)
      | c0_1(X79)
      | c0_1(X81)
      | c2_1(X81)
      | ~ c2_1(X80) ),
    inference(duplicate_literal_removal,[],[f89]) ).

fof(f89,plain,
    ! [X80,X81,X79] :
      ( c0_1(X80)
      | c0_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c3_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | ~ c2_1(X80)
      | c1_1(X79)
      | c2_1(X81)
      | c0_1(X79) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f961,plain,
    ( spl0_144
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f185,f275,f958]) ).

fof(f275,plain,
    ( spl0_8
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f185,plain,
    ( ~ hskp10
    | c0_1(a605) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f956,plain,
    ( ~ spl0_2
    | spl0_53
    | spl0_117 ),
    inference(avatar_split_clause,[],[f76,f803,f470,f251]) ).

fof(f803,plain,
    ( spl0_117
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f76,plain,
    ! [X98] :
      ( hskp25
      | ~ c0_1(X98)
      | c3_1(X98)
      | ~ ndr1_0
      | ~ c2_1(X98) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f954,plain,
    ( ~ spl0_117
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f115,f951,f803]) ).

fof(f115,plain,
    ( ~ c0_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f949,plain,
    ( spl0_53
    | spl0_54
    | ~ spl0_2
    | spl0_79 ),
    inference(avatar_split_clause,[],[f215,f596,f251,f473,f470]) ).

fof(f215,plain,
    ! [X96,X97,X95] :
      ( c1_1(X96)
      | ~ ndr1_0
      | c0_1(X95)
      | ~ c3_1(X96)
      | ~ c2_1(X97)
      | c0_1(X96)
      | c1_1(X95)
      | ~ c0_1(X97)
      | c3_1(X97)
      | c2_1(X95) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f77,plain,
    ! [X96,X97,X95] :
      ( ~ ndr1_0
      | c1_1(X96)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X96)
      | ~ c2_1(X97)
      | ~ c0_1(X97)
      | c0_1(X95)
      | c3_1(X97)
      | ~ c3_1(X96)
      | c2_1(X95)
      | c1_1(X95) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f948,plain,
    ( spl0_59
    | spl0_29 ),
    inference(avatar_split_clause,[],[f9,f363,f498]) ).

fof(f363,plain,
    ( spl0_29
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f9,plain,
    ( hskp24
    | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f947,plain,
    ( ~ spl0_142
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f183,f275,f944]) ).

fof(f183,plain,
    ( ~ hskp10
    | ~ c3_1(a605) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f938,plain,
    ( ~ spl0_106
    | spl0_140 ),
    inference(avatar_split_clause,[],[f125,f935,f745]) ).

fof(f125,plain,
    ( c2_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( ~ spl0_2
    | spl0_58
    | spl0_7
    | spl0_31 ),
    inference(avatar_split_clause,[],[f26,f372,f271,f491,f251]) ).

fof(f271,plain,
    ( spl0_7
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f26,plain,
    ! [X105] :
      ( ~ c1_1(X105)
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | hskp18
      | hskp5
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f932,plain,
    ( spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f184,f275,f251]) ).

fof(f184,plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f920,plain,
    ( ~ spl0_59
    | spl0_137 ),
    inference(avatar_split_clause,[],[f109,f917,f498]) ).

fof(f109,plain,
    ( c1_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f913,plain,
    ( spl0_29
    | spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f131,f430,f327,f363]) ).

fof(f430,plain,
    ( spl0_44
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f131,plain,
    ( hskp31
    | hskp1
    | hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( ~ spl0_136
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f176,f444,f909]) ).

fof(f444,plain,
    ( spl0_47
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f176,plain,
    ( ~ hskp22
    | ~ c0_1(a644) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( ~ spl0_135
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f112,f498,f904]) ).

fof(f112,plain,
    ( ~ hskp9
    | ~ c0_1(a604) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f902,plain,
    ( spl0_23
    | spl0_47
    | ~ spl0_2
    | spl0_39 ),
    inference(avatar_split_clause,[],[f173,f405,f251,f444,f337]) ).

fof(f173,plain,
    ! [X31] :
      ( ~ c0_1(X31)
      | c2_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | hskp22
      | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f901,plain,
    ( ~ spl0_134
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f70,f289,f898]) ).

fof(f289,plain,
    ( spl0_11
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f70,plain,
    ( ~ hskp11
    | ~ c0_1(a608) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f896,plain,
    ( ~ spl0_2
    | spl0_25
    | spl0_53 ),
    inference(avatar_split_clause,[],[f101,f470,f344,f251]) ).

fof(f101,plain,
    ! [X71] :
      ( c3_1(X71)
      | ~ c0_1(X71)
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X71) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f895,plain,
    ( spl0_133
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f160,f267,f892]) ).

fof(f267,plain,
    ( spl0_6
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f160,plain,
    ( ~ hskp12
    | c2_1(a609) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f890,plain,
    ( ~ spl0_2
    | spl0_13
    | spl0_106
    | spl0_17 ),
    inference(avatar_split_clause,[],[f37,f311,f745,f296,f251]) ).

fof(f37,plain,
    ! [X103] :
      ( hskp28
      | hskp7
      | ~ c2_1(X103)
      | ~ ndr1_0
      | c0_1(X103)
      | c3_1(X103) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f883,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_13
    | spl0_72 ),
    inference(avatar_split_clause,[],[f218,f561,f296,f267,f251]) ).

fof(f218,plain,
    ! [X58,X57] :
      ( ~ c1_1(X57)
      | c3_1(X58)
      | ~ c2_1(X58)
      | c2_1(X57)
      | ~ c3_1(X57)
      | c0_1(X58)
      | hskp12
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f121]) ).

fof(f121,plain,
    ! [X58,X57] :
      ( ~ c2_1(X58)
      | ~ c1_1(X57)
      | c0_1(X58)
      | hskp12
      | c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c3_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f882,plain,
    ( spl0_131
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f31,f491,f879]) ).

fof(f31,plain,
    ( ~ hskp5
    | c2_1(a599) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f872,plain,
    ( ~ spl0_2
    | spl0_106
    | spl0_80
    | spl0_16 ),
    inference(avatar_split_clause,[],[f219,f307,f602,f745,f251]) ).

fof(f219,plain,
    ! [X108,X107] :
      ( ~ c2_1(X107)
      | c3_1(X108)
      | c0_1(X108)
      | hskp7
      | ~ ndr1_0
      | c2_1(X108)
      | ~ c0_1(X107)
      | ~ c1_1(X107) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ! [X108,X107] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X107)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | hskp7
      | c0_1(X108)
      | c2_1(X108)
      | c3_1(X108) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f871,plain,
    ( spl0_129
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f114,f803,f868]) ).

fof(f114,plain,
    ( ~ hskp25
    | c1_1(a656) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f865,plain,
    ( ~ spl0_2
    | spl0_17
    | spl0_84
    | spl0_72 ),
    inference(avatar_split_clause,[],[f220,f561,f622,f311,f251]) ).

fof(f220,plain,
    ! [X82,X83] :
      ( ~ c3_1(X83)
      | ~ c1_1(X82)
      | hskp28
      | c3_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | c0_1(X82)
      | ~ c1_1(X83) ),
    inference(duplicate_literal_removal,[],[f88]) ).

fof(f88,plain,
    ! [X82,X83] :
      ( hskp28
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | ~ c1_1(X83)
      | c3_1(X82)
      | c2_1(X83)
      | c0_1(X82) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f858,plain,
    ( ~ spl0_27
    | spl0_127 ),
    inference(avatar_split_clause,[],[f164,f855,f353]) ).

fof(f164,plain,
    ( c3_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f853,plain,
    ( ~ spl0_126
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f23,f410,f850]) ).

fof(f23,plain,
    ( ~ hskp6
    | ~ c2_1(a600) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f848,plain,
    ( ~ spl0_17
    | spl0_125 ),
    inference(avatar_split_clause,[],[f128,f845,f311]) ).

fof(f128,plain,
    ( c1_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f843,plain,
    ( ~ spl0_19
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f83,f840,f318]) ).

fof(f318,plain,
    ( spl0_19
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f83,plain,
    ( ~ c0_1(a596)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f838,plain,
    ( ~ spl0_25
    | spl0_123 ),
    inference(avatar_split_clause,[],[f207,f835,f344]) ).

fof(f207,plain,
    ( c2_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f832,plain,
    ( ~ spl0_71
    | spl0_122 ),
    inference(avatar_split_clause,[],[f97,f829,f556]) ).

fof(f556,plain,
    ( spl0_71
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f97,plain,
    ( c0_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f827,plain,
    ( ~ spl0_121
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f68,f289,f824]) ).

fof(f68,plain,
    ( ~ hskp11
    | ~ c3_1(a608) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f807,plain,
    ( spl0_8
    | spl0_58
    | spl0_72
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f199,f251,f561,f491,f275]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | hskp5
      | hskp10
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f806,plain,
    ( spl0_116
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f113,f803,f799]) ).

fof(f113,plain,
    ( ~ hskp25
    | c3_1(a656) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f797,plain,
    ( ~ spl0_115
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f98,f556,f794]) ).

fof(f98,plain,
    ( ~ hskp8
    | ~ c2_1(a603) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f792,plain,
    ( ~ spl0_71
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f99,f789,f556]) ).

fof(f99,plain,
    ( ~ c1_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f781,plain,
    ( ~ spl0_21
    | spl0_112 ),
    inference(avatar_split_clause,[],[f53,f778,f327]) ).

fof(f53,plain,
    ( c1_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f776,plain,
    ( spl0_111
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f126,f745,f773]) ).

fof(f126,plain,
    ( ~ hskp7
    | c3_1(a602) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f771,plain,
    ( spl0_110
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f127,f311,f768]) ).

fof(f127,plain,
    ( ~ hskp28
    | c2_1(a595) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f766,plain,
    ( ~ spl0_25
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f204,f763,f344]) ).

fof(f204,plain,
    ( ~ c1_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f758,plain,
    ( ~ spl0_8
    | spl0_108 ),
    inference(avatar_split_clause,[],[f186,f755,f275]) ).

fof(f186,plain,
    ( c2_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f753,plain,
    ( ~ spl0_9
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f195,f750,f280]) ).

fof(f280,plain,
    ( spl0_9
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f195,plain,
    ( ~ c0_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f743,plain,
    ( spl0_23
    | ~ spl0_2
    | spl0_53
    | spl0_17 ),
    inference(avatar_split_clause,[],[f38,f311,f470,f251,f337]) ).

fof(f38,plain,
    ! [X102] :
      ( hskp28
      | c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X102)
      | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f733,plain,
    ( spl0_71
    | ~ spl0_2
    | spl0_33
    | spl0_25 ),
    inference(avatar_split_clause,[],[f168,f344,f378,f251,f556]) ).

fof(f168,plain,
    ! [X32] :
      ( hskp14
      | ~ c1_1(X32)
      | c0_1(X32)
      | ~ ndr1_0
      | hskp8
      | ~ c3_1(X32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f731,plain,
    ( spl0_104
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f161,f353,f728]) ).

fof(f161,plain,
    ( ~ hskp21
    | c0_1(a631) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f725,plain,
    ( spl0_82
    | ~ spl0_2
    | spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f224,f456,f315,f251,f612]) ).

fof(f224,plain,
    ! [X16,X14,X15] :
      ( ~ c2_1(X15)
      | ~ c0_1(X14)
      | ~ c3_1(X14)
      | c1_1(X15)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c3_1(X15)
      | ~ c1_1(X16)
      | c0_1(X16)
      | c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X16,X14,X15] :
      ( c2_1(X16)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c3_1(X15)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X16)
      | ~ c2_1(X15)
      | c0_1(X16)
      | c1_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f724,plain,
    ( ~ spl0_9
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f193,f721,f280]) ).

fof(f193,plain,
    ( ~ c3_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f719,plain,
    ( spl0_102
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f111,f498,f716]) ).

fof(f111,plain,
    ( ~ hskp9
    | c2_1(a604) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f714,plain,
    ( ~ spl0_2
    | spl0_79
    | spl0_14
    | spl0_62 ),
    inference(avatar_split_clause,[],[f225,f511,f300,f596,f251]) ).

fof(f225,plain,
    ! [X88,X86,X87] :
      ( ~ c3_1(X88)
      | ~ c2_1(X87)
      | c1_1(X86)
      | c0_1(X87)
      | ~ c3_1(X87)
      | c2_1(X88)
      | ~ c3_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f86]) ).

fof(f86,plain,
    ! [X88,X86,X87] :
      ( ~ c3_1(X87)
      | ~ c0_1(X88)
      | c2_1(X88)
      | c1_1(X86)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c3_1(X88)
      | c0_1(X87)
      | ~ c2_1(X87) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f708,plain,
    ( ~ spl0_47
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f177,f705,f444]) ).

fof(f177,plain,
    ( ~ c2_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f673,plain,
    ( ~ spl0_2
    | spl0_55
    | spl0_79
    | spl0_84 ),
    inference(avatar_split_clause,[],[f229,f622,f596,f477,f251]) ).

fof(f229,plain,
    ! [X34,X35,X33] :
      ( c3_1(X33)
      | ~ c3_1(X34)
      | c0_1(X33)
      | c3_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c1_1(X34)
      | ~ c1_1(X35)
      | c0_1(X34)
      | ~ c1_1(X33) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X34,X35,X33] :
      ( ~ c0_1(X35)
      | ~ ndr1_0
      | c0_1(X33)
      | ~ c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | ~ c1_1(X35)
      | c3_1(X33)
      | ~ c1_1(X33)
      | c0_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f657,plain,
    ( ~ spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f130,f251,f311]) ).

fof(f130,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f656,plain,
    ( ~ spl0_23
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f15,f653,f337]) ).

fof(f15,plain,
    ( ~ c1_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f644,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_39
    | spl0_88 ),
    inference(avatar_split_clause,[],[f230,f642,f405,f267,f251]) ).

fof(f230,plain,
    ! [X74,X75] :
      ( c1_1(X75)
      | ~ c2_1(X75)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | c2_1(X74)
      | hskp12
      | ~ c0_1(X75)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f95]) ).

fof(f95,plain,
    ! [X74,X75] :
      ( c2_1(X74)
      | ~ c1_1(X74)
      | ~ c0_1(X75)
      | ~ c2_1(X75)
      | hskp12
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c1_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f631,plain,
    ( spl0_85
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f142,f430,f628]) ).

fof(f142,plain,
    ( ~ hskp31
    | c2_1(a672) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f624,plain,
    ( spl0_21
    | spl0_5
    | spl0_84
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f231,f251,f622,f263,f327]) ).

fof(f231,plain,
    ! [X70,X69] :
      ( ~ ndr1_0
      | ~ c1_1(X69)
      | c3_1(X69)
      | ~ c0_1(X70)
      | c0_1(X69)
      | ~ c3_1(X70)
      | hskp1
      | c1_1(X70) ),
    inference(duplicate_literal_removal,[],[f102]) ).

fof(f102,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ c3_1(X70)
      | ~ c0_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | c0_1(X69)
      | hskp1
      | c3_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f619,plain,
    ( ~ spl0_83
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f49,f271,f616]) ).

fof(f49,plain,
    ( ~ hskp18
    | ~ c0_1(a625) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f614,plain,
    ( spl0_82
    | ~ spl0_2
    | spl0_8
    | spl0_31 ),
    inference(avatar_split_clause,[],[f232,f372,f275,f251,f612]) ).

fof(f232,plain,
    ! [X56,X55] :
      ( ~ c3_1(X55)
      | hskp10
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | c0_1(X56)
      | c2_1(X56) ),
    inference(duplicate_literal_removal,[],[f122]) ).

fof(f122,plain,
    ! [X56,X55] :
      ( hskp10
      | ~ ndr1_0
      | ~ c2_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X55)
      | c2_1(X56)
      | c0_1(X56)
      | ~ c1_1(X56)
      | ~ c1_1(X55) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f600,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f81,f318,f251]) ).

fof(f81,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f598,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f234,f315,f251,f596,f593]) ).

fof(f234,plain,
    ! [X6,X4,X5] :
      ( ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c2_1(X5)
      | c1_1(X6)
      | c3_1(X4)
      | ~ c3_1(X5)
      | c0_1(X4)
      | c1_1(X4)
      | c0_1(X6)
      | ~ c3_1(X6) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X6,X4,X5] :
      ( ~ c3_1(X5)
      | ~ c3_1(X6)
      | c0_1(X6)
      | ~ ndr1_0
      | ~ c2_1(X5)
      | c3_1(X4)
      | c1_1(X6)
      | ~ ndr1_0
      | c0_1(X4)
      | ~ ndr1_0
      | c1_1(X4)
      | ~ c0_1(X5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f591,plain,
    ( ~ spl0_77
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f48,f271,f588]) ).

fof(f48,plain,
    ( ~ hskp18
    | ~ c1_1(a625) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f585,plain,
    ( ~ spl0_2
    | spl0_55
    | spl0_29
    | spl0_18 ),
    inference(avatar_split_clause,[],[f235,f315,f363,f477,f251]) ).

fof(f235,plain,
    ! [X92,X93] :
      ( ~ c2_1(X93)
      | hskp24
      | ~ c0_1(X93)
      | ~ c1_1(X92)
      | c3_1(X92)
      | ~ c0_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f79,plain,
    ! [X92,X93] :
      ( ~ ndr1_0
      | c3_1(X92)
      | ~ c3_1(X93)
      | ~ c0_1(X93)
      | ~ c0_1(X92)
      | ~ c2_1(X93)
      | hskp24
      | ~ ndr1_0
      | ~ c1_1(X92) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f584,plain,
    ( ~ spl0_76
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f14,f337,f581]) ).

fof(f14,plain,
    ( ~ hskp4
    | ~ c2_1(a598) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f579,plain,
    ( ~ spl0_75
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f106,f363,f576]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c2_1(a651) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f574,plain,
    ( spl0_74
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f140,f430,f571]) ).

fof(f140,plain,
    ( ~ hskp31
    | c0_1(a672) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f568,plain,
    ( ~ spl0_73
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f159,f267,f565]) ).

fof(f159,plain,
    ( ~ hskp12
    | ~ c1_1(a609) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f563,plain,
    ( spl0_72
    | spl0_15
    | spl0_40
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f10,f251,f410,f303,f561]) ).

fof(f303,plain,
    ( spl0_15
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f10,plain,
    ! [X112] :
      ( ~ ndr1_0
      | hskp6
      | hskp29
      | ~ c3_1(X112)
      | c2_1(X112)
      | ~ c1_1(X112) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f553,plain,
    ( spl0_70
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f141,f430,f550]) ).

fof(f141,plain,
    ( ~ hskp31
    | c3_1(a672) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f539,plain,
    ( ~ spl0_11
    | spl0_67 ),
    inference(avatar_split_clause,[],[f67,f536,f289]) ).

fof(f67,plain,
    ( c1_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f534,plain,
    ( spl0_66
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f56,f327,f531]) ).

fof(f56,plain,
    ( ~ hskp1
    | c0_1(a594) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f529,plain,
    ( ~ spl0_58
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f29,f526,f491]) ).

fof(f29,plain,
    ( ~ c1_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f518,plain,
    ( ~ spl0_6
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f158,f515,f267]) ).

fof(f158,plain,
    ( ~ c3_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f501,plain,
    ( spl0_6
    | spl0_59
    | spl0_8 ),
    inference(avatar_split_clause,[],[f62,f275,f498,f267]) ).

fof(f62,plain,
    ( hskp10
    | hskp9
    | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f495,plain,
    ( spl0_8
    | spl0_17
    | spl0_19 ),
    inference(avatar_split_clause,[],[f43,f318,f311,f275]) ).

fof(f43,plain,
    ( hskp2
    | hskp28
    | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f494,plain,
    ( spl0_57
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f32,f491,f487]) ).

fof(f32,plain,
    ( ~ hskp5
    | c3_1(a599) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f485,plain,
    ( spl0_56
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f104,f363,f482]) ).

fof(f104,plain,
    ( ~ hskp24
    | c1_1(a651) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f475,plain,
    ( ~ spl0_2
    | spl0_53
    | spl0_9
    | spl0_54 ),
    inference(avatar_split_clause,[],[f239,f473,f280,f470,f251]) ).

fof(f239,plain,
    ! [X21,X20] :
      ( c1_1(X20)
      | c0_1(X20)
      | hskp0
      | c2_1(X20)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | ~ c0_1(X21)
      | hskp0
      | c1_1(X20)
      | ~ ndr1_0
      | c3_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | c2_1(X20) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f463,plain,
    ( spl0_51
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f51,f271,f460]) ).

fof(f51,plain,
    ( ~ hskp18
    | c3_1(a625) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f458,plain,
    ( spl0_7
    | spl0_49
    | ~ spl0_2
    | spl0_50 ),
    inference(avatar_split_clause,[],[f240,f456,f251,f453,f271]) ).

fof(f240,plain,
    ! [X54,X53] :
      ( ~ c2_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | ~ c0_1(X53)
      | c3_1(X54)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X54,X53] :
      ( ~ c0_1(X53)
      | ~ c1_1(X53)
      | c1_1(X54)
      | hskp18
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c3_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X54) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f451,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f175,f448,f444]) ).

fof(f175,plain,
    ( ~ c3_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f428,plain,
    ( ~ spl0_19
    | spl0_43 ),
    inference(avatar_split_clause,[],[f84,f425,f318]) ).

fof(f84,plain,
    ( c2_1(a596)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f417,plain,
    ( ~ spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f25,f414,f410]) ).

fof(f25,plain,
    ( c3_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f403,plain,
    ( spl0_38
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f46,f303,f400]) ).

fof(f46,plain,
    ( ~ hskp29
    | c3_1(a618) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f380,plain,
    ( ~ spl0_2
    | spl0_31
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f242,f378,f375,f372,f251]) ).

fof(f242,plain,
    ! [X2,X3,X1] :
      ( ~ c3_1(X2)
      | ~ c1_1(X1)
      | c0_1(X2)
      | ~ c1_1(X3)
      | ~ c1_1(X2)
      | ~ c2_1(X3)
      | ~ c3_1(X3)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X2,X3,X1] :
      ( ~ c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X3)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X3)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c3_1(X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f370,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f107,f367,f363]) ).

fof(f107,plain,
    ( c3_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f361,plain,
    ( ~ spl0_15
    | spl0_28 ),
    inference(avatar_split_clause,[],[f47,f358,f303]) ).

fof(f47,plain,
    ( c0_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f356,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f163,f353,f349]) ).

fof(f163,plain,
    ( ~ hskp21
    | ~ c1_1(a631) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f330,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f54,f327,f323]) ).

fof(f54,plain,
    ( ~ hskp1
    | ~ c3_1(a594) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f298,plain,
    ( spl0_11
    | ~ spl0_2
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f244,f296,f293,f251,f289]) ).

fof(f244,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | ~ c0_1(X10)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c3_1(X10)
      | c3_1(X9)
      | c1_1(X10)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X10,X9] :
      ( c3_1(X9)
      | hskp11
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X10)
      | c3_1(X10)
      | c0_1(X9)
      | ~ c0_1(X10)
      | ~ c2_1(X9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f287,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f194,f284,f280]) ).

fof(f194,plain,
    ( c2_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f278,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f165,f275,f271,f267]) ).

fof(f165,plain,
    ( hskp10
    | hskp18
    | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN471+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % 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 : n010.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 21:49:58 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (29428)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)
% 0.19/0.51  % (29444)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)
% 0.19/0.52  % (29427)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)
% 0.19/0.52  % (29430)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52  % (29426)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)
% 0.19/0.52  % (29436)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)
% 0.19/0.53  % (29425)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)
% 0.19/0.53  % (29427)Instruction limit reached!
% 0.19/0.53  % (29427)------------------------------
% 0.19/0.53  % (29427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29446)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)
% 0.19/0.53  % (29445)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)
% 0.19/0.53  % (29451)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)
% 0.19/0.53  % (29423)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)
% 0.19/0.53  % (29437)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)
% 0.19/0.53  % (29449)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)
% 0.19/0.53  % (29435)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)
% 0.19/0.53  % (29433)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)
% 0.19/0.54  % (29440)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)
% 0.19/0.54  % (29432)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)
% 0.19/0.54  % (29427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29427)Termination reason: Unknown
% 0.19/0.54  % (29427)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (29427)Memory used [KB]: 2046
% 0.19/0.54  % (29427)Time elapsed: 0.121 s
% 0.19/0.54  % (29427)Instructions burned: 15 (million)
% 0.19/0.54  % (29427)------------------------------
% 0.19/0.54  % (29427)------------------------------
% 0.19/0.54  % (29424)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)
% 0.19/0.54  % (29450)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)
% 0.19/0.54  % (29424)Instruction limit reached!
% 0.19/0.54  % (29424)------------------------------
% 0.19/0.54  % (29424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29424)Termination reason: Unknown
% 0.19/0.54  % (29424)Termination phase: Unused predicate definition removal
% 0.19/0.54  
% 0.19/0.54  % (29424)Memory used [KB]: 1663
% 0.19/0.54  % (29424)Time elapsed: 0.002 s
% 0.19/0.54  % (29424)Instructions burned: 3 (million)
% 0.19/0.54  % (29424)------------------------------
% 0.19/0.54  % (29424)------------------------------
% 0.19/0.54  % (29442)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)
% 0.19/0.54  % (29448)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)
% 0.19/0.54  % (29422)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.55  % (29431)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)
% 0.19/0.55  % (29443)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)
% 0.19/0.55  % (29436)Instruction limit reached!
% 0.19/0.55  % (29436)------------------------------
% 0.19/0.55  % (29436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (29436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (29436)Termination reason: Unknown
% 0.19/0.55  % (29436)Termination phase: Naming
% 0.19/0.55  
% 0.19/0.55  % (29436)Memory used [KB]: 1791
% 0.19/0.55  % (29436)Time elapsed: 0.003 s
% 0.19/0.55  % (29436)Instructions burned: 3 (million)
% 0.19/0.55  % (29436)------------------------------
% 0.19/0.55  % (29436)------------------------------
% 0.19/0.55  % (29437)Instruction limit reached!
% 0.19/0.55  % (29437)------------------------------
% 0.19/0.55  % (29437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (29437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (29437)Termination reason: Unknown
% 0.19/0.55  % (29437)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (29437)Memory used [KB]: 6652
% 0.19/0.55  % (29437)Time elapsed: 0.008 s
% 0.19/0.55  % (29437)Instructions burned: 9 (million)
% 0.19/0.55  % (29437)------------------------------
% 0.19/0.55  % (29437)------------------------------
% 0.19/0.55  % (29429)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)
% 1.54/0.55  % (29439)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.55  % (29439)Instruction limit reached!
% 1.54/0.55  % (29439)------------------------------
% 1.54/0.55  % (29439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (29439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (29439)Termination reason: Unknown
% 1.54/0.55  % (29439)Termination phase: Preprocessing 2
% 1.54/0.55  
% 1.54/0.55  % (29439)Memory used [KB]: 1663
% 1.54/0.55  % (29439)Time elapsed: 0.003 s
% 1.54/0.55  % (29439)Instructions burned: 3 (million)
% 1.54/0.55  % (29439)------------------------------
% 1.54/0.55  % (29439)------------------------------
% 1.54/0.55  % (29440)Instruction limit reached!
% 1.54/0.55  % (29440)------------------------------
% 1.54/0.55  % (29440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (29440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (29440)Termination reason: Unknown
% 1.54/0.55  % (29440)Termination phase: Preprocessing 2
% 1.54/0.55  
% 1.54/0.55  % (29440)Memory used [KB]: 1663
% 1.54/0.55  % (29440)Time elapsed: 0.003 s
% 1.54/0.55  % (29440)Instructions burned: 3 (million)
% 1.54/0.55  % (29440)------------------------------
% 1.54/0.55  % (29440)------------------------------
% 1.54/0.55  % (29447)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)
% 1.54/0.55  % (29441)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)
% 1.54/0.55  % (29432)Instruction limit reached!
% 1.54/0.55  % (29432)------------------------------
% 1.54/0.55  % (29432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (29432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (29432)Termination reason: Unknown
% 1.54/0.55  % (29432)Termination phase: Saturation
% 1.54/0.55  
% 1.54/0.55  % (29432)Memory used [KB]: 6780
% 1.54/0.55  % (29432)Time elapsed: 0.116 s
% 1.54/0.55  % (29432)Instructions burned: 12 (million)
% 1.54/0.55  % (29432)------------------------------
% 1.54/0.55  % (29432)------------------------------
% 1.54/0.55  % (29438)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.56  % (29450)Instruction limit reached!
% 1.54/0.56  % (29450)------------------------------
% 1.54/0.56  % (29450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29450)Termination reason: Unknown
% 1.54/0.56  % (29450)Termination phase: Saturation
% 1.54/0.56  
% 1.54/0.56  % (29450)Memory used [KB]: 6652
% 1.54/0.56  % (29450)Time elapsed: 0.007 s
% 1.54/0.56  % (29450)Instructions burned: 9 (million)
% 1.54/0.56  % (29450)------------------------------
% 1.54/0.56  % (29450)------------------------------
% 1.54/0.56  % (29423)Instruction limit reached!
% 1.54/0.56  % (29423)------------------------------
% 1.54/0.56  % (29423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29423)Termination reason: Unknown
% 1.54/0.56  % (29423)Termination phase: Saturation
% 1.54/0.56  
% 1.54/0.56  % (29423)Memory used [KB]: 6908
% 1.54/0.56  % (29423)Time elapsed: 0.008 s
% 1.54/0.56  % (29423)Instructions burned: 13 (million)
% 1.54/0.56  % (29423)------------------------------
% 1.54/0.56  % (29423)------------------------------
% 1.54/0.56  % (29434)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)
% 1.54/0.56  % (29433)Instruction limit reached!
% 1.54/0.56  % (29433)------------------------------
% 1.54/0.56  % (29433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29433)Termination reason: Unknown
% 1.54/0.56  % (29433)Termination phase: Saturation
% 1.54/0.56  
% 1.54/0.56  % (29433)Memory used [KB]: 6652
% 1.54/0.56  % (29433)Time elapsed: 0.006 s
% 1.54/0.56  % (29433)Instructions burned: 8 (million)
% 1.54/0.56  % (29433)------------------------------
% 1.54/0.56  % (29433)------------------------------
% 1.54/0.56  % (29426)Instruction limit reached!
% 1.54/0.56  % (29426)------------------------------
% 1.54/0.56  % (29426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (29426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (29426)Termination reason: Unknown
% 1.54/0.56  % (29426)Termination phase: Saturation
% 1.54/0.56  
% 1.54/0.56  % (29426)Memory used [KB]: 6908
% 1.54/0.56  % (29426)Time elapsed: 0.163 s
% 1.54/0.56  % (29426)Instructions burned: 14 (million)
% 1.54/0.56  % (29426)------------------------------
% 1.54/0.56  % (29426)------------------------------
% 1.73/0.57  % (29428)Instruction limit reached!
% 1.73/0.57  % (29428)------------------------------
% 1.73/0.57  % (29428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.57  % (29428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.57  % (29428)Termination reason: Unknown
% 1.73/0.57  % (29428)Termination phase: Saturation
% 1.73/0.57  
% 1.73/0.57  % (29428)Memory used [KB]: 7291
% 1.73/0.57  % (29428)Time elapsed: 0.183 s
% 1.73/0.57  % (29428)Instructions burned: 40 (million)
% 1.73/0.57  % (29428)------------------------------
% 1.73/0.57  % (29428)------------------------------
% 1.73/0.58  % (29451)Instruction limit reached!
% 1.73/0.58  % (29451)------------------------------
% 1.73/0.58  % (29451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58  % (29451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58  % (29451)Termination reason: Unknown
% 1.73/0.58  % (29451)Termination phase: Saturation
% 1.73/0.58  
% 1.73/0.58  % (29451)Memory used [KB]: 6780
% 1.73/0.58  % (29451)Time elapsed: 0.161 s
% 1.73/0.58  % (29451)Instructions burned: 25 (million)
% 1.73/0.58  % (29451)------------------------------
% 1.73/0.58  % (29451)------------------------------
% 1.73/0.58  % (29441)Instruction limit reached!
% 1.73/0.58  % (29441)------------------------------
% 1.73/0.58  % (29441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58  % (29441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58  % (29441)Termination reason: Unknown
% 1.73/0.58  % (29441)Termination phase: Saturation
% 1.73/0.58  
% 1.73/0.58  % (29441)Memory used [KB]: 6780
% 1.73/0.58  % (29441)Time elapsed: 0.155 s
% 1.73/0.58  % (29441)Instructions burned: 11 (million)
% 1.73/0.58  % (29441)------------------------------
% 1.73/0.58  % (29441)------------------------------
% 1.73/0.58  % (29444)First to succeed.
% 1.73/0.58  % (29434)Instruction limit reached!
% 1.73/0.58  % (29434)------------------------------
% 1.73/0.58  % (29434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58  % (29434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58  % (29434)Termination reason: Unknown
% 1.73/0.58  % (29434)Termination phase: Saturation
% 1.73/0.58  
% 1.73/0.58  % (29434)Memory used [KB]: 2046
% 1.73/0.58  % (29434)Time elapsed: 0.187 s
% 1.73/0.58  % (29434)Instructions burned: 18 (million)
% 1.73/0.58  % (29434)------------------------------
% 1.73/0.58  % (29434)------------------------------
% 1.73/0.59  % (29449)Instruction limit reached!
% 1.73/0.59  % (29449)------------------------------
% 1.73/0.59  % (29449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59  % (29449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59  % (29449)Termination reason: Unknown
% 1.73/0.59  % (29449)Termination phase: Saturation
% 1.73/0.59  
% 1.73/0.59  % (29449)Memory used [KB]: 7036
% 1.73/0.59  % (29449)Time elapsed: 0.182 s
% 1.73/0.59  % (29449)Instructions burned: 25 (million)
% 1.73/0.59  % (29449)------------------------------
% 1.73/0.59  % (29449)------------------------------
% 1.73/0.59  % (29442)Instruction limit reached!
% 1.73/0.59  % (29442)------------------------------
% 1.73/0.59  % (29442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59  % (29442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59  % (29442)Termination reason: Unknown
% 1.73/0.59  % (29442)Termination phase: Saturation
% 1.73/0.59  
% 1.73/0.59  % (29442)Memory used [KB]: 7164
% 1.73/0.59  % (29442)Time elapsed: 0.196 s
% 1.73/0.59  % (29442)Instructions burned: 30 (million)
% 1.73/0.59  % (29442)------------------------------
% 1.73/0.59  % (29442)------------------------------
% 1.73/0.60  % (29446)Instruction limit reached!
% 1.73/0.60  % (29446)------------------------------
% 1.73/0.60  % (29446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (29446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (29446)Termination reason: Unknown
% 1.73/0.60  % (29446)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (29446)Memory used [KB]: 7419
% 1.73/0.60  % (29446)Time elapsed: 0.186 s
% 1.73/0.60  % (29446)Instructions burned: 50 (million)
% 1.73/0.60  % (29446)------------------------------
% 1.73/0.60  % (29446)------------------------------
% 1.73/0.60  % (29445)Instruction limit reached!
% 1.73/0.60  % (29445)------------------------------
% 1.73/0.60  % (29445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (29445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (29445)Termination reason: Unknown
% 1.73/0.60  % (29445)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (29445)Memory used [KB]: 2174
% 1.73/0.60  % (29445)Time elapsed: 0.165 s
% 1.73/0.60  % (29445)Instructions burned: 46 (million)
% 1.73/0.60  % (29445)------------------------------
% 1.73/0.60  % (29445)------------------------------
% 1.73/0.61  % (29435)Instruction limit reached!
% 1.73/0.61  % (29435)------------------------------
% 1.73/0.61  % (29435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61  % (29435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61  % (29435)Termination reason: Unknown
% 1.73/0.61  % (29435)Termination phase: Saturation
% 1.73/0.61  
% 1.73/0.61  % (29435)Memory used [KB]: 7675
% 1.73/0.61  % (29435)Time elapsed: 0.207 s
% 1.73/0.61  % (29435)Instructions burned: 51 (million)
% 1.73/0.61  % (29435)------------------------------
% 1.73/0.61  % (29435)------------------------------
% 1.73/0.61  % (29444)Refutation found. Thanks to Tanya!
% 1.73/0.61  % SZS status Theorem for theBenchmark
% 1.73/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.61  % (29444)------------------------------
% 1.73/0.61  % (29444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61  % (29444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61  % (29444)Termination reason: Refutation
% 1.73/0.61  
% 1.73/0.61  % (29444)Memory used [KB]: 8315
% 1.73/0.61  % (29444)Time elapsed: 0.199 s
% 1.73/0.61  % (29444)Instructions burned: 41 (million)
% 1.73/0.61  % (29444)------------------------------
% 1.73/0.61  % (29444)------------------------------
% 1.73/0.61  % (29421)Success in time 0.255 s
%------------------------------------------------------------------------------