TSTP Solution File: SYN485+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN485+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 : n019.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 19:27:13 EDT 2022

% Result   : Theorem 1.94s 0.61s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  148
% Syntax   : Number of formulae    :  667 (   1 unt;   0 def)
%            Number of atoms       : 7408 (   0 equ)
%            Maximal formula atoms :  732 (  11 avg)
%            Number of connectives : 10062 (3321   ~;4753   |;1365   &)
%                                         ( 147 <=>; 476  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  183 ( 182 usr; 179 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   : 1033 (1033   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2402,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f280,f289,f303,f314,f323,f344,f351,f365,f378,f394,f395,f400,f414,f425,f439,f449,f462,f481,f486,f501,f507,f512,f521,f541,f546,f551,f568,f572,f577,f582,f586,f591,f595,f596,f606,f611,f617,f627,f630,f631,f636,f641,f648,f653,f663,f668,f673,f674,f685,f689,f694,f699,f700,f705,f706,f711,f712,f715,f726,f728,f733,f739,f740,f745,f751,f762,f766,f768,f769,f773,f778,f783,f789,f794,f800,f801,f802,f807,f813,f817,f822,f823,f824,f826,f831,f836,f841,f846,f850,f860,f861,f866,f871,f876,f881,f882,f887,f892,f897,f898,f899,f900,f906,f912,f917,f922,f929,f932,f933,f939,f944,f950,f952,f959,f965,f966,f971,f976,f977,f982,f987,f998,f1003,f1008,f1010,f1015,f1020,f1118,f1120,f1169,f1231,f1264,f1287,f1319,f1329,f1342,f1419,f1421,f1465,f1472,f1473,f1530,f1531,f1532,f1538,f1550,f1570,f1574,f1633,f1667,f1670,f1730,f1731,f1768,f1769,f1770,f1786,f1792,f1797,f1798,f1814,f1838,f1849,f1875,f1903,f1905,f1948,f1971,f1996,f2022,f2023,f2028,f2033,f2035,f2073,f2100,f2121,f2125,f2143,f2171,f2176,f2182,f2183,f2191,f2197,f2223,f2225,f2246,f2273,f2277,f2283,f2284,f2300,f2301,f2310,f2312,f2349,f2352,f2353,f2362,f2395,f2396]) ).

fof(f2396,plain,
    ( spl0_129
    | spl0_18
    | ~ spl0_46
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2378,f838,f441,f320,f878]) ).

fof(f878,plain,
    ( spl0_129
  <=> c3_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f320,plain,
    ( spl0_18
  <=> c2_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f441,plain,
    ( spl0_46
  <=> ! [X81] :
        ( c3_1(X81)
        | c2_1(X81)
        | ~ c1_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f838,plain,
    ( spl0_121
  <=> c1_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2378,plain,
    ( c2_1(a2116)
    | c3_1(a2116)
    | ~ spl0_46
    | ~ spl0_121 ),
    inference(resolution,[],[f442,f840]) ).

fof(f840,plain,
    ( c1_1(a2116)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f442,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | c3_1(X81)
        | c2_1(X81) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f2395,plain,
    ( spl0_142
    | spl0_169
    | ~ spl0_46
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2373,f936,f441,f1296,f962]) ).

fof(f962,plain,
    ( spl0_142
  <=> c3_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1296,plain,
    ( spl0_169
  <=> c2_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f936,plain,
    ( spl0_138
  <=> c1_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2373,plain,
    ( c2_1(a2079)
    | c3_1(a2079)
    | ~ spl0_46
    | ~ spl0_138 ),
    inference(resolution,[],[f442,f938]) ).

fof(f938,plain,
    ( c1_1(a2079)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f2362,plain,
    ( spl0_149
    | spl0_155
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2358,f638,f392,f1040,f1000]) ).

fof(f1000,plain,
    ( spl0_149
  <=> c1_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1040,plain,
    ( spl0_155
  <=> c3_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f392,plain,
    ( spl0_35
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c1_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f638,plain,
    ( spl0_87
  <=> c0_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2358,plain,
    ( c3_1(a2110)
    | c1_1(a2110)
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(resolution,[],[f393,f640]) ).

fof(f640,plain,
    ( c0_1(a2110)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f393,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c1_1(X25) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f2353,plain,
    ( spl0_171
    | ~ spl0_145
    | ~ spl0_21
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2338,f574,f332,f979,f1387]) ).

fof(f1387,plain,
    ( spl0_171
  <=> c1_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f979,plain,
    ( spl0_145
  <=> c3_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f332,plain,
    ( spl0_21
  <=> ! [X32] :
        ( c1_1(X32)
        | ~ c0_1(X32)
        | ~ c3_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f574,plain,
    ( spl0_75
  <=> c0_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2338,plain,
    ( ~ c3_1(a2070)
    | c1_1(a2070)
    | ~ spl0_21
    | ~ spl0_75 ),
    inference(resolution,[],[f333,f576]) ).

fof(f576,plain,
    ( c0_1(a2070)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f333,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | ~ c3_1(X32) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f2352,plain,
    ( spl0_8
    | ~ spl0_103
    | ~ spl0_21
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2343,f608,f332,f730,f277]) ).

fof(f277,plain,
    ( spl0_8
  <=> c1_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f730,plain,
    ( spl0_103
  <=> c3_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f608,plain,
    ( spl0_82
  <=> c0_1(a2149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2343,plain,
    ( ~ c3_1(a2149)
    | c1_1(a2149)
    | ~ spl0_21
    | ~ spl0_82 ),
    inference(resolution,[],[f333,f610]) ).

fof(f610,plain,
    ( c0_1(a2149)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f2349,plain,
    ( spl0_149
    | ~ spl0_155
    | ~ spl0_21
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2342,f638,f332,f1040,f1000]) ).

fof(f2342,plain,
    ( ~ c3_1(a2110)
    | c1_1(a2110)
    | ~ spl0_21
    | ~ spl0_87 ),
    inference(resolution,[],[f333,f640]) ).

fof(f2312,plain,
    ( ~ spl0_102
    | spl0_132
    | ~ spl0_34
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2287,f884,f389,f894,f723]) ).

fof(f723,plain,
    ( spl0_102
  <=> c3_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f894,plain,
    ( spl0_132
  <=> c2_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f389,plain,
    ( spl0_34
  <=> ! [X26] :
        ( ~ c3_1(X26)
        | ~ c1_1(X26)
        | c2_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f884,plain,
    ( spl0_130
  <=> c1_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2287,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_34
    | ~ spl0_130 ),
    inference(resolution,[],[f390,f886]) ).

fof(f886,plain,
    ( c1_1(a2074)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f390,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | c2_1(X26)
        | ~ c3_1(X26) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2310,plain,
    ( spl0_156
    | ~ spl0_111
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2288,f903,f389,f775,f1046]) ).

fof(f1046,plain,
    ( spl0_156
  <=> c2_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f775,plain,
    ( spl0_111
  <=> c3_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f903,plain,
    ( spl0_133
  <=> c1_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2288,plain,
    ( ~ c3_1(a2076)
    | c2_1(a2076)
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(resolution,[],[f390,f905]) ).

fof(f905,plain,
    ( c1_1(a2076)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f2301,plain,
    ( ~ spl0_118
    | spl0_166
    | ~ spl0_34
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2297,f968,f389,f1236,f819]) ).

fof(f819,plain,
    ( spl0_118
  <=> c3_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1236,plain,
    ( spl0_166
  <=> c2_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f968,plain,
    ( spl0_143
  <=> c1_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2297,plain,
    ( c2_1(a2073)
    | ~ c3_1(a2073)
    | ~ spl0_34
    | ~ spl0_143 ),
    inference(resolution,[],[f390,f970]) ).

fof(f970,plain,
    ( c1_1(a2073)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f2300,plain,
    ( ~ spl0_168
    | spl0_122
    | ~ spl0_34
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2291,f696,f389,f843,f1274]) ).

fof(f1274,plain,
    ( spl0_168
  <=> c3_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f843,plain,
    ( spl0_122
  <=> c2_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f696,plain,
    ( spl0_98
  <=> c1_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2291,plain,
    ( c2_1(a2095)
    | ~ c3_1(a2095)
    | ~ spl0_34
    | ~ spl0_98 ),
    inference(resolution,[],[f390,f698]) ).

fof(f698,plain,
    ( c1_1(a2095)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f2284,plain,
    ( ~ spl0_161
    | spl0_146
    | ~ spl0_24
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2259,f797,f346,f984,f1110]) ).

fof(f1110,plain,
    ( spl0_161
  <=> c3_1(a2078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f984,plain,
    ( spl0_146
  <=> c2_1(a2078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f346,plain,
    ( spl0_24
  <=> ! [X57] :
        ( c2_1(X57)
        | ~ c0_1(X57)
        | ~ c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f797,plain,
    ( spl0_115
  <=> c0_1(a2078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2259,plain,
    ( c2_1(a2078)
    | ~ c3_1(a2078)
    | ~ spl0_24
    | ~ spl0_115 ),
    inference(resolution,[],[f347,f799]) ).

fof(f799,plain,
    ( c0_1(a2078)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f347,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | c2_1(X57)
        | ~ c3_1(X57) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2283,plain,
    ( ~ spl0_118
    | spl0_166
    | ~ spl0_24
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2268,f833,f346,f1236,f819]) ).

fof(f833,plain,
    ( spl0_120
  <=> c0_1(a2073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2268,plain,
    ( c2_1(a2073)
    | ~ c3_1(a2073)
    | ~ spl0_24
    | ~ spl0_120 ),
    inference(resolution,[],[f347,f835]) ).

fof(f835,plain,
    ( c0_1(a2073)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f2277,plain,
    ( ~ spl0_102
    | spl0_132
    | ~ spl0_24
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2258,f1062,f346,f894,f723]) ).

fof(f1062,plain,
    ( spl0_158
  <=> c0_1(a2074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2258,plain,
    ( c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ spl0_24
    | ~ spl0_158 ),
    inference(resolution,[],[f347,f1063]) ).

fof(f1063,plain,
    ( c0_1(a2074)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f2273,plain,
    ( spl0_116
    | ~ spl0_145
    | ~ spl0_24
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2255,f574,f346,f979,f804]) ).

fof(f804,plain,
    ( spl0_116
  <=> c2_1(a2070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2255,plain,
    ( ~ c3_1(a2070)
    | c2_1(a2070)
    | ~ spl0_24
    | ~ spl0_75 ),
    inference(resolution,[],[f347,f576]) ).

fof(f2246,plain,
    ( spl0_91
    | spl0_105
    | ~ spl0_20
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2234,f909,f329,f742,f660]) ).

fof(f660,plain,
    ( spl0_91
  <=> c1_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f742,plain,
    ( spl0_105
  <=> c0_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f329,plain,
    ( spl0_20
  <=> ! [X33] :
        ( c0_1(X33)
        | ~ c3_1(X33)
        | c1_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f909,plain,
    ( spl0_134
  <=> c3_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2234,plain,
    ( c0_1(a2104)
    | c1_1(a2104)
    | ~ spl0_20
    | ~ spl0_134 ),
    inference(resolution,[],[f330,f911]) ).

fof(f911,plain,
    ( c3_1(a2104)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f330,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c1_1(X33)
        | c0_1(X33) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f2225,plain,
    ( spl0_92
    | spl0_113
    | ~ spl0_16
    | spl0_95 ),
    inference(avatar_split_clause,[],[f2205,f682,f312,f786,f665]) ).

fof(f665,plain,
    ( spl0_92
  <=> c0_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f786,plain,
    ( spl0_113
  <=> c3_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f312,plain,
    ( spl0_16
  <=> ! [X3] :
        ( c1_1(X3)
        | c3_1(X3)
        | c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f682,plain,
    ( spl0_95
  <=> c1_1(a2072) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2205,plain,
    ( c3_1(a2072)
    | c0_1(a2072)
    | ~ spl0_16
    | spl0_95 ),
    inference(resolution,[],[f313,f684]) ).

fof(f684,plain,
    ( ~ c1_1(a2072)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f313,plain,
    ( ! [X3] :
        ( c1_1(X3)
        | c3_1(X3)
        | c0_1(X3) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f2223,plain,
    ( spl0_100
    | spl0_154
    | ~ spl0_16
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2207,f565,f312,f1035,f708]) ).

fof(f708,plain,
    ( spl0_100
  <=> c3_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1035,plain,
    ( spl0_154
  <=> c0_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f565,plain,
    ( spl0_73
  <=> c1_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2207,plain,
    ( c0_1(a2087)
    | c3_1(a2087)
    | ~ spl0_16
    | spl0_73 ),
    inference(resolution,[],[f313,f567]) ).

fof(f567,plain,
    ( ~ c1_1(a2087)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f2197,plain,
    ( spl0_154
    | spl0_100
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2196,f973,f423,f708,f1035]) ).

fof(f423,plain,
    ( spl0_42
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c2_1(X68)
        | c3_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f973,plain,
    ( spl0_144
  <=> c2_1(a2087) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2196,plain,
    ( c3_1(a2087)
    | c0_1(a2087)
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(resolution,[],[f975,f424]) ).

fof(f424,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | c3_1(X68)
        | c0_1(X68) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f975,plain,
    ( c2_1(a2087)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f2191,plain,
    ( spl0_125
    | spl0_164
    | ~ spl0_42
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2190,f759,f423,f1178,f857]) ).

fof(f857,plain,
    ( spl0_125
  <=> c0_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1178,plain,
    ( spl0_164
  <=> c3_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f759,plain,
    ( spl0_108
  <=> c2_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2190,plain,
    ( c3_1(a2082)
    | c0_1(a2082)
    | ~ spl0_42
    | ~ spl0_108 ),
    inference(resolution,[],[f761,f424]) ).

fof(f761,plain,
    ( c2_1(a2082)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f2183,plain,
    ( ~ spl0_120
    | spl0_166
    | ~ spl0_2
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2163,f968,f253,f1236,f833]) ).

fof(f253,plain,
    ( spl0_2
  <=> ! [X37] :
        ( ~ c1_1(X37)
        | ~ c0_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2163,plain,
    ( c2_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl0_2
    | ~ spl0_143 ),
    inference(resolution,[],[f254,f970]) ).

fof(f254,plain,
    ( ! [X37] :
        ( ~ c1_1(X37)
        | c2_1(X37)
        | ~ c0_1(X37) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f2182,plain,
    ( ~ spl0_75
    | spl0_116
    | ~ spl0_2
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2148,f1387,f253,f804,f574]) ).

fof(f2148,plain,
    ( c2_1(a2070)
    | ~ c0_1(a2070)
    | ~ spl0_2
    | ~ spl0_171 ),
    inference(resolution,[],[f254,f1389]) ).

fof(f1389,plain,
    ( c1_1(a2070)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f2176,plain,
    ( spl0_132
    | ~ spl0_158
    | ~ spl0_2
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2149,f884,f253,f1062,f894]) ).

fof(f2149,plain,
    ( ~ c0_1(a2074)
    | c2_1(a2074)
    | ~ spl0_2
    | ~ spl0_130 ),
    inference(resolution,[],[f254,f886]) ).

fof(f2171,plain,
    ( spl0_18
    | ~ spl0_153
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2158,f838,f253,f1023,f320]) ).

fof(f1023,plain,
    ( spl0_153
  <=> c0_1(a2116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2158,plain,
    ( ~ c0_1(a2116)
    | c2_1(a2116)
    | ~ spl0_2
    | ~ spl0_121 ),
    inference(resolution,[],[f254,f840]) ).

fof(f2143,plain,
    ( spl0_99
    | spl0_163
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2141,f868,f423,f1150,f702]) ).

fof(f702,plain,
    ( spl0_99
  <=> c3_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1150,plain,
    ( spl0_163
  <=> c0_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f868,plain,
    ( spl0_127
  <=> c2_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2141,plain,
    ( c0_1(a2160)
    | c3_1(a2160)
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(resolution,[],[f870,f424]) ).

fof(f870,plain,
    ( c2_1(a2160)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f2125,plain,
    ( ~ spl0_59
    | spl0_39
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2122,f570,f358,f411,f498]) ).

fof(f498,plain,
    ( spl0_59
  <=> c3_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f411,plain,
    ( spl0_39
  <=> c1_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f358,plain,
    ( spl0_27
  <=> c2_1(a2084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f570,plain,
    ( spl0_74
  <=> ! [X29] :
        ( c1_1(X29)
        | ~ c2_1(X29)
        | ~ c3_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2122,plain,
    ( c1_1(a2084)
    | ~ c3_1(a2084)
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(resolution,[],[f360,f571]) ).

fof(f571,plain,
    ( ! [X29] :
        ( ~ c2_1(X29)
        | c1_1(X29)
        | ~ c3_1(X29) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f360,plain,
    ( c2_1(a2084)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f2121,plain,
    ( spl0_16
    | ~ spl0_37
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2111,f687,f403,f312]) ).

fof(f403,plain,
    ( spl0_37
  <=> ! [X114] :
        ( c1_1(X114)
        | c0_1(X114)
        | ~ c2_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f687,plain,
    ( spl0_96
  <=> ! [X77] :
        ( c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2111,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_96 ),
    inference(duplicate_literal_removal,[],[f2101]) ).

fof(f2101,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_96 ),
    inference(resolution,[],[f404,f688]) ).

fof(f688,plain,
    ( ! [X77] :
        ( c2_1(X77)
        | c0_1(X77)
        | c3_1(X77) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f404,plain,
    ( ! [X114] :
        ( ~ c2_1(X114)
        | c1_1(X114)
        | c0_1(X114) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f2100,plain,
    ( ~ spl0_154
    | spl0_73
    | ~ spl0_123
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2085,f973,f848,f565,f1035]) ).

fof(f848,plain,
    ( spl0_123
  <=> ! [X39] :
        ( ~ c2_1(X39)
        | ~ c0_1(X39)
        | c1_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2085,plain,
    ( c1_1(a2087)
    | ~ c0_1(a2087)
    | ~ spl0_123
    | ~ spl0_144 ),
    inference(resolution,[],[f849,f975]) ).

fof(f849,plain,
    ( ! [X39] :
        ( ~ c2_1(X39)
        | c1_1(X39)
        | ~ c0_1(X39) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f2073,plain,
    ( spl0_135
    | spl0_131
    | spl0_10
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2059,f771,f286,f889,f914]) ).

fof(f914,plain,
    ( spl0_135
  <=> c2_1(a2130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f889,plain,
    ( spl0_131
  <=> c3_1(a2130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f286,plain,
    ( spl0_10
  <=> c1_1(a2130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f771,plain,
    ( spl0_110
  <=> ! [X104] :
        ( c3_1(X104)
        | c1_1(X104)
        | c2_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2059,plain,
    ( c3_1(a2130)
    | c2_1(a2130)
    | spl0_10
    | ~ spl0_110 ),
    inference(resolution,[],[f772,f288]) ).

fof(f288,plain,
    ( ~ c1_1(a2130)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f772,plain,
    ( ! [X104] :
        ( c1_1(X104)
        | c3_1(X104)
        | c2_1(X104) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f2035,plain,
    ( spl0_141
    | spl0_76
    | ~ spl0_66
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2013,f764,f534,f579,f956]) ).

fof(f956,plain,
    ( spl0_141
  <=> c2_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f579,plain,
    ( spl0_76
  <=> c3_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f534,plain,
    ( spl0_66
  <=> c0_1(a2099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f764,plain,
    ( spl0_109
  <=> ! [X19] :
        ( ~ c0_1(X19)
        | c2_1(X19)
        | c3_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2013,plain,
    ( c3_1(a2099)
    | c2_1(a2099)
    | ~ spl0_66
    | ~ spl0_109 ),
    inference(resolution,[],[f765,f536]) ).

fof(f536,plain,
    ( c0_1(a2099)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f765,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c3_1(X19)
        | c2_1(X19) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f2033,plain,
    ( spl0_129
    | spl0_18
    | ~ spl0_109
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2015,f1023,f764,f320,f878]) ).

fof(f2015,plain,
    ( c2_1(a2116)
    | c3_1(a2116)
    | ~ spl0_109
    | ~ spl0_153 ),
    inference(resolution,[],[f765,f1024]) ).

fof(f1024,plain,
    ( c0_1(a2116)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f2028,plain,
    ( spl0_118
    | spl0_166
    | ~ spl0_109
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2020,f833,f764,f1236,f819]) ).

fof(f2020,plain,
    ( c2_1(a2073)
    | c3_1(a2073)
    | ~ spl0_109
    | ~ spl0_120 ),
    inference(resolution,[],[f765,f835]) ).

fof(f2023,plain,
    ( spl0_142
    | spl0_169
    | ~ spl0_109
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2009,f780,f764,f1296,f962]) ).

fof(f780,plain,
    ( spl0_112
  <=> c0_1(a2079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2009,plain,
    ( c2_1(a2079)
    | c3_1(a2079)
    | ~ spl0_109
    | ~ spl0_112 ),
    inference(resolution,[],[f765,f782]) ).

fof(f782,plain,
    ( c0_1(a2079)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f2022,plain,
    ( spl0_161
    | spl0_146
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2008,f797,f764,f984,f1110]) ).

fof(f2008,plain,
    ( c2_1(a2078)
    | c3_1(a2078)
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(resolution,[],[f765,f799]) ).

fof(f1996,plain,
    ( ~ spl0_87
    | ~ spl0_155
    | ~ spl0_72
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1992,f645,f561,f1040,f638]) ).

fof(f561,plain,
    ( spl0_72
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | ~ c0_1(X8)
        | ~ c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f645,plain,
    ( spl0_88
  <=> c2_1(a2110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1992,plain,
    ( ~ c3_1(a2110)
    | ~ c0_1(a2110)
    | ~ spl0_72
    | ~ spl0_88 ),
    inference(resolution,[],[f647,f562]) ).

fof(f562,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | ~ c0_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f647,plain,
    ( c2_1(a2110)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f1971,plain,
    ( spl0_118
    | spl0_120
    | ~ spl0_96
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1966,f1236,f687,f833,f819]) ).

fof(f1966,plain,
    ( c0_1(a2073)
    | c3_1(a2073)
    | ~ spl0_96
    | spl0_166 ),
    inference(resolution,[],[f688,f1237]) ).

fof(f1237,plain,
    ( ~ c2_1(a2073)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1236]) ).

fof(f1948,plain,
    ( spl0_122
    | spl0_139
    | ~ spl0_56
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1941,f696,f484,f941,f843]) ).

fof(f941,plain,
    ( spl0_139
  <=> c0_1(a2095) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f484,plain,
    ( spl0_56
  <=> ! [X50] :
        ( ~ c1_1(X50)
        | c0_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1941,plain,
    ( c0_1(a2095)
    | c2_1(a2095)
    | ~ spl0_56
    | ~ spl0_98 ),
    inference(resolution,[],[f698,f485]) ).

fof(f485,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | c0_1(X50)
        | c2_1(X50) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1905,plain,
    ( spl0_166
    | spl0_143
    | ~ spl0_79
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1893,f819,f593,f968,f1236]) ).

fof(f593,plain,
    ( spl0_79
  <=> ! [X21] :
        ( c1_1(X21)
        | c2_1(X21)
        | ~ c3_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1893,plain,
    ( c1_1(a2073)
    | c2_1(a2073)
    | ~ spl0_79
    | ~ spl0_118 ),
    inference(resolution,[],[f594,f821]) ).

fof(f821,plain,
    ( c3_1(a2073)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f594,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c1_1(X21)
        | c2_1(X21) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f1903,plain,
    ( spl0_91
    | spl0_165
    | ~ spl0_79
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1889,f909,f593,f1227,f660]) ).

fof(f1227,plain,
    ( spl0_165
  <=> c2_1(a2104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1889,plain,
    ( c2_1(a2104)
    | c1_1(a2104)
    | ~ spl0_79
    | ~ spl0_134 ),
    inference(resolution,[],[f594,f911]) ).

fof(f1875,plain,
    ( ~ spl0_61
    | ~ spl0_152
    | ~ spl0_68
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1869,f584,f543,f1017,f509]) ).

fof(f509,plain,
    ( spl0_61
  <=> c3_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1017,plain,
    ( spl0_152
  <=> c2_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f543,plain,
    ( spl0_68
  <=> c1_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f584,plain,
    ( spl0_77
  <=> ! [X45] :
        ( ~ c3_1(X45)
        | ~ c2_1(X45)
        | ~ c1_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1869,plain,
    ( ~ c2_1(a2077)
    | ~ c3_1(a2077)
    | ~ spl0_68
    | ~ spl0_77 ),
    inference(resolution,[],[f585,f545]) ).

fof(f545,plain,
    ( c1_1(a2077)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f585,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | ~ c2_1(X45)
        | ~ c3_1(X45) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f1849,plain,
    ( ~ spl0_134
    | spl0_91
    | ~ spl0_74
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1842,f1227,f570,f660,f909]) ).

fof(f1842,plain,
    ( c1_1(a2104)
    | ~ c3_1(a2104)
    | ~ spl0_74
    | ~ spl0_165 ),
    inference(resolution,[],[f571,f1229]) ).

fof(f1229,plain,
    ( c2_1(a2104)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1838,plain,
    ( ~ spl0_61
    | ~ spl0_170
    | ~ spl0_72
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1831,f1017,f561,f1338,f509]) ).

fof(f1338,plain,
    ( spl0_170
  <=> c0_1(a2077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1831,plain,
    ( ~ c0_1(a2077)
    | ~ c3_1(a2077)
    | ~ spl0_72
    | ~ spl0_152 ),
    inference(resolution,[],[f562,f1019]) ).

fof(f1019,plain,
    ( c2_1(a2077)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1814,plain,
    ( spl0_158
    | spl0_132
    | ~ spl0_56
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1800,f884,f484,f894,f1062]) ).

fof(f1800,plain,
    ( c2_1(a2074)
    | c0_1(a2074)
    | ~ spl0_56
    | ~ spl0_130 ),
    inference(resolution,[],[f485,f886]) ).

fof(f1798,plain,
    ( ~ spl0_169
    | ~ spl0_112
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1777,f936,f468,f780,f1296]) ).

fof(f468,plain,
    ( spl0_53
  <=> ! [X24] :
        ( ~ c2_1(X24)
        | ~ c0_1(X24)
        | ~ c1_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1777,plain,
    ( ~ c0_1(a2079)
    | ~ c2_1(a2079)
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(resolution,[],[f469,f938]) ).

fof(f469,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | ~ c0_1(X24)
        | ~ c2_1(X24) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1797,plain,
    ( ~ spl0_117
    | ~ spl0_36
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1784,f995,f468,f397,f810]) ).

fof(f810,plain,
    ( spl0_117
  <=> c0_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f397,plain,
    ( spl0_36
  <=> c2_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f995,plain,
    ( spl0_148
  <=> c1_1(a2075) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1784,plain,
    ( ~ c2_1(a2075)
    | ~ c0_1(a2075)
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(resolution,[],[f469,f997]) ).

fof(f997,plain,
    ( c1_1(a2075)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f1792,plain,
    ( ~ spl0_166
    | ~ spl0_120
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1783,f968,f468,f833,f1236]) ).

fof(f1783,plain,
    ( ~ c0_1(a2073)
    | ~ c2_1(a2073)
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(resolution,[],[f469,f970]) ).

fof(f1786,plain,
    ( ~ spl0_152
    | ~ spl0_170
    | ~ spl0_53
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1785,f543,f468,f1338,f1017]) ).

fof(f1785,plain,
    ( ~ c0_1(a2077)
    | ~ c2_1(a2077)
    | ~ spl0_53
    | ~ spl0_68 ),
    inference(resolution,[],[f469,f545]) ).

fof(f1770,plain,
    ( ~ spl0_111
    | spl0_13
    | ~ spl0_55
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1758,f1046,f479,f300,f775]) ).

fof(f300,plain,
    ( spl0_13
  <=> c0_1(a2076) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f479,plain,
    ( spl0_55
  <=> ! [X89] :
        ( ~ c3_1(X89)
        | ~ c2_1(X89)
        | c0_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1758,plain,
    ( c0_1(a2076)
    | ~ c3_1(a2076)
    | ~ spl0_55
    | ~ spl0_156 ),
    inference(resolution,[],[f480,f1048]) ).

fof(f1048,plain,
    ( c2_1(a2076)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f480,plain,
    ( ! [X89] :
        ( ~ c2_1(X89)
        | c0_1(X89)
        | ~ c3_1(X89) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f1769,plain,
    ( spl0_170
    | ~ spl0_61
    | ~ spl0_55
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1764,f1017,f479,f509,f1338]) ).

fof(f1764,plain,
    ( ~ c3_1(a2077)
    | c0_1(a2077)
    | ~ spl0_55
    | ~ spl0_152 ),
    inference(resolution,[],[f480,f1019]) ).

fof(f1768,plain,
    ( ~ spl0_22
    | spl0_69
    | ~ spl0_55
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1761,f670,f479,f548,f337]) ).

fof(f337,plain,
    ( spl0_22
  <=> c3_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f548,plain,
    ( spl0_69
  <=> c0_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f670,plain,
    ( spl0_93
  <=> c2_1(a2140) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1761,plain,
    ( c0_1(a2140)
    | ~ c3_1(a2140)
    | ~ spl0_55
    | ~ spl0_93 ),
    inference(resolution,[],[f480,f672]) ).

fof(f672,plain,
    ( c2_1(a2140)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f1731,plain,
    ( spl0_137
    | spl0_85
    | ~ spl0_35
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1713,f828,f392,f624,f926]) ).

fof(f926,plain,
    ( spl0_137
  <=> c1_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f624,plain,
    ( spl0_85
  <=> c3_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f828,plain,
    ( spl0_119
  <=> c0_1(a2093) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1713,plain,
    ( c3_1(a2093)
    | c1_1(a2093)
    | ~ spl0_35
    | ~ spl0_119 ),
    inference(resolution,[],[f393,f830]) ).

fof(f830,plain,
    ( c0_1(a2093)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f1730,plain,
    ( spl0_73
    | spl0_100
    | ~ spl0_35
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1712,f1035,f392,f708,f565]) ).

fof(f1712,plain,
    ( c3_1(a2087)
    | c1_1(a2087)
    | ~ spl0_35
    | ~ spl0_154 ),
    inference(resolution,[],[f393,f1037]) ).

fof(f1037,plain,
    ( c0_1(a2087)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1670,plain,
    ( spl0_104
    | ~ spl0_97
    | ~ spl0_25
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1653,f919,f349,f691,f736]) ).

fof(f736,plain,
    ( spl0_104
  <=> c3_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f691,plain,
    ( spl0_97
  <=> c0_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f349,plain,
    ( spl0_25
  <=> ! [X58] :
        ( ~ c2_1(X58)
        | c3_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f919,plain,
    ( spl0_136
  <=> c2_1(a2071) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1653,plain,
    ( ~ c0_1(a2071)
    | c3_1(a2071)
    | ~ spl0_25
    | ~ spl0_136 ),
    inference(resolution,[],[f350,f921]) ).

fof(f921,plain,
    ( c2_1(a2071)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f350,plain,
    ( ! [X58] :
        ( ~ c2_1(X58)
        | c3_1(X58)
        | ~ c0_1(X58) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1667,plain,
    ( spl0_100
    | ~ spl0_154
    | ~ spl0_25
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1656,f973,f349,f1035,f708]) ).

fof(f1656,plain,
    ( ~ c0_1(a2087)
    | c3_1(a2087)
    | ~ spl0_25
    | ~ spl0_144 ),
    inference(resolution,[],[f350,f975]) ).

fof(f1633,plain,
    ( spl0_114
    | ~ spl0_161
    | ~ spl0_21
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1617,f797,f332,f1110,f791]) ).

fof(f791,plain,
    ( spl0_114
  <=> c1_1(a2078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1617,plain,
    ( ~ c3_1(a2078)
    | c1_1(a2078)
    | ~ spl0_21
    | ~ spl0_115 ),
    inference(resolution,[],[f333,f799]) ).

fof(f1574,plain,
    ( ~ spl0_118
    | spl0_120
    | ~ spl0_31
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1571,f968,f376,f833,f819]) ).

fof(f376,plain,
    ( spl0_31
  <=> ! [X106] :
        ( c0_1(X106)
        | ~ c1_1(X106)
        | ~ c3_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1571,plain,
    ( c0_1(a2073)
    | ~ c3_1(a2073)
    | ~ spl0_31
    | ~ spl0_143 ),
    inference(resolution,[],[f970,f377]) ).

fof(f377,plain,
    ( ! [X106] :
        ( ~ c1_1(X106)
        | ~ c3_1(X106)
        | c0_1(X106) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f1570,plain,
    ( spl0_153
    | spl0_129
    | ~ spl0_48
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1568,f838,f447,f878,f1023]) ).

fof(f447,plain,
    ( spl0_48
  <=> ! [X79] :
        ( c0_1(X79)
        | c3_1(X79)
        | ~ c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1568,plain,
    ( c3_1(a2116)
    | c0_1(a2116)
    | ~ spl0_48
    | ~ spl0_121 ),
    inference(resolution,[],[f840,f448]) ).

fof(f448,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | c3_1(X79)
        | c0_1(X79) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1550,plain,
    ( ~ spl0_61
    | spl0_170
    | ~ spl0_31
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1548,f543,f376,f1338,f509]) ).

fof(f1548,plain,
    ( c0_1(a2077)
    | ~ c3_1(a2077)
    | ~ spl0_31
    | ~ spl0_68 ),
    inference(resolution,[],[f377,f545]) ).

fof(f1538,plain,
    ( spl0_168
    | ~ spl0_16
    | ~ spl0_48
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1525,f941,f447,f312,f1274]) ).

fof(f1525,plain,
    ( c3_1(a2095)
    | ~ spl0_16
    | ~ spl0_48
    | spl0_139 ),
    inference(resolution,[],[f1496,f943]) ).

fof(f943,plain,
    ( ~ c0_1(a2095)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f1496,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_16
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1481]) ).

fof(f1481,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_16
    | ~ spl0_48 ),
    inference(resolution,[],[f313,f448]) ).

fof(f1532,plain,
    ( spl0_129
    | ~ spl0_16
    | ~ spl0_48
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1527,f1023,f447,f312,f878]) ).

fof(f1527,plain,
    ( c3_1(a2116)
    | ~ spl0_16
    | ~ spl0_48
    | spl0_153 ),
    inference(resolution,[],[f1496,f1025]) ).

fof(f1025,plain,
    ( ~ c0_1(a2116)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1531,plain,
    ( spl0_100
    | ~ spl0_16
    | ~ spl0_48
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1524,f1035,f447,f312,f708]) ).

fof(f1524,plain,
    ( c3_1(a2087)
    | ~ spl0_16
    | ~ spl0_48
    | spl0_154 ),
    inference(resolution,[],[f1496,f1036]) ).

fof(f1036,plain,
    ( ~ c0_1(a2087)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1530,plain,
    ( spl0_164
    | ~ spl0_16
    | ~ spl0_48
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1523,f857,f447,f312,f1178]) ).

fof(f1523,plain,
    ( c3_1(a2082)
    | ~ spl0_16
    | ~ spl0_48
    | spl0_125 ),
    inference(resolution,[],[f1496,f859]) ).

fof(f859,plain,
    ( ~ c0_1(a2082)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f1473,plain,
    ( spl0_118
    | spl0_143
    | ~ spl0_15
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1462,f1236,f309,f968,f819]) ).

fof(f309,plain,
    ( spl0_15
  <=> ! [X4] :
        ( c1_1(X4)
        | ~ c2_1(X4)
        | c3_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1462,plain,
    ( c1_1(a2073)
    | c3_1(a2073)
    | ~ spl0_15
    | ~ spl0_166 ),
    inference(resolution,[],[f310,f1238]) ).

fof(f1238,plain,
    ( c2_1(a2073)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1236]) ).

fof(f310,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | c1_1(X4)
        | c3_1(X4) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f1472,plain,
    ( spl0_149
    | spl0_155
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1459,f645,f309,f1040,f1000]) ).

fof(f1459,plain,
    ( c3_1(a2110)
    | c1_1(a2110)
    | ~ spl0_15
    | ~ spl0_88 ),
    inference(resolution,[],[f310,f647]) ).

fof(f1465,plain,
    ( spl0_73
    | spl0_100
    | ~ spl0_15
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1458,f973,f309,f708,f565]) ).

fof(f1458,plain,
    ( c3_1(a2087)
    | c1_1(a2087)
    | ~ spl0_15
    | ~ spl0_144 ),
    inference(resolution,[],[f310,f975]) ).

fof(f1421,plain,
    ( ~ spl0_120
    | ~ spl0_118
    | ~ spl0_72
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1415,f1236,f561,f819,f833]) ).

fof(f1415,plain,
    ( ~ c3_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl0_72
    | ~ spl0_166 ),
    inference(resolution,[],[f562,f1238]) ).

fof(f1419,plain,
    ( ~ spl0_86
    | ~ spl0_106
    | ~ spl0_72
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1414,f588,f561,f748,f633]) ).

fof(f633,plain,
    ( spl0_86
  <=> c0_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f748,plain,
    ( spl0_106
  <=> c3_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f588,plain,
    ( spl0_78
  <=> c2_1(a2069) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1414,plain,
    ( ~ c3_1(a2069)
    | ~ c0_1(a2069)
    | ~ spl0_72
    | ~ spl0_78 ),
    inference(resolution,[],[f562,f590]) ).

fof(f590,plain,
    ( c2_1(a2069)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f1342,plain,
    ( ~ spl0_61
    | ~ spl0_170
    | ~ spl0_49
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1334,f543,f451,f1338,f509]) ).

fof(f451,plain,
    ( spl0_49
  <=> ! [X62] :
        ( ~ c0_1(X62)
        | ~ c3_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1334,plain,
    ( ~ c0_1(a2077)
    | ~ c3_1(a2077)
    | ~ spl0_49
    | ~ spl0_68 ),
    inference(resolution,[],[f545,f452]) ).

fof(f452,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | ~ c3_1(X62)
        | ~ c0_1(X62) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1329,plain,
    ( ~ spl0_164
    | spl0_125
    | ~ spl0_55
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1322,f759,f479,f857,f1178]) ).

fof(f1322,plain,
    ( c0_1(a2082)
    | ~ c3_1(a2082)
    | ~ spl0_55
    | ~ spl0_108 ),
    inference(resolution,[],[f480,f761]) ).

fof(f1319,plain,
    ( ~ spl0_163
    | ~ spl0_127
    | ~ spl0_53
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1313,f1012,f468,f868,f1150]) ).

fof(f1012,plain,
    ( spl0_151
  <=> c1_1(a2160) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1313,plain,
    ( ~ c2_1(a2160)
    | ~ c0_1(a2160)
    | ~ spl0_53
    | ~ spl0_151 ),
    inference(resolution,[],[f469,f1014]) ).

fof(f1014,plain,
    ( c1_1(a2160)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1287,plain,
    ( ~ spl0_118
    | ~ spl0_120
    | ~ spl0_49
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1285,f968,f451,f833,f819]) ).

fof(f1285,plain,
    ( ~ c0_1(a2073)
    | ~ c3_1(a2073)
    | ~ spl0_49
    | ~ spl0_143 ),
    inference(resolution,[],[f452,f970]) ).

fof(f1264,plain,
    ( spl0_50
    | spl0_89
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1262,f1005,f447,f650,f455]) ).

fof(f455,plain,
    ( spl0_50
  <=> c3_1(a2172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f650,plain,
    ( spl0_89
  <=> c0_1(a2172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1005,plain,
    ( spl0_150
  <=> c1_1(a2172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1262,plain,
    ( c0_1(a2172)
    | c3_1(a2172)
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(resolution,[],[f1007,f448]) ).

fof(f1007,plain,
    ( c1_1(a2172)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1231,plain,
    ( spl0_126
    | spl0_60
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1214,f873,f444,f504,f863]) ).

fof(f863,plain,
    ( spl0_126
  <=> c0_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f504,plain,
    ( spl0_60
  <=> c2_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f444,plain,
    ( spl0_47
  <=> ! [X80] :
        ( c2_1(X80)
        | ~ c3_1(X80)
        | c0_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f873,plain,
    ( spl0_128
  <=> c3_1(a2068) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1214,plain,
    ( c2_1(a2068)
    | c0_1(a2068)
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(resolution,[],[f445,f875]) ).

fof(f875,plain,
    ( c3_1(a2068)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f445,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1169,plain,
    ( ~ spl0_108
    | spl0_125
    | ~ spl0_40
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1158,f514,f416,f857,f759]) ).

fof(f416,plain,
    ( spl0_40
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | ~ c2_1(X69)
        | c0_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f514,plain,
    ( spl0_62
  <=> c1_1(a2082) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1158,plain,
    ( c0_1(a2082)
    | ~ c2_1(a2082)
    | ~ spl0_40
    | ~ spl0_62 ),
    inference(resolution,[],[f417,f516]) ).

fof(f516,plain,
    ( c1_1(a2082)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f417,plain,
    ( ! [X69] :
        ( ~ c1_1(X69)
        | ~ c2_1(X69)
        | c0_1(X69) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f1120,plain,
    ( spl0_158
    | ~ spl0_102
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1114,f884,f376,f723,f1062]) ).

fof(f1114,plain,
    ( ~ c3_1(a2074)
    | c0_1(a2074)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(resolution,[],[f377,f886]) ).

fof(f1118,plain,
    ( spl0_13
    | ~ spl0_111
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1115,f903,f376,f775,f300]) ).

fof(f1115,plain,
    ( ~ c3_1(a2076)
    | c0_1(a2076)
    | ~ spl0_31
    | ~ spl0_133 ),
    inference(resolution,[],[f377,f905]) ).

fof(f1020,plain,
    ( ~ spl0_38
    | spl0_152 ),
    inference(avatar_split_clause,[],[f163,f1017,f406]) ).

fof(f406,plain,
    ( spl0_38
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f163,plain,
    ( c2_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp29
      | hskp3
      | hskp5 )
    & ( hskp0
      | ! [X0] :
          ( c0_1(X0)
          | ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0) )
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ ndr1_0
          | ~ c0_1(X1)
          | ~ c2_1(X1) ) )
    & ( hskp25
      | hskp18
      | hskp12 )
    & ( ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | hskp29
      | hskp27 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | hskp4
      | ! [X4] :
          ( c1_1(X4)
          | ~ c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp17
      | hskp23 )
    & ( ~ hskp21
      | ( ~ c2_1(a2136)
        & c0_1(a2136)
        & ndr1_0
        & c1_1(a2136) ) )
    & ( ~ hskp7
      | ( c0_1(a2079)
        & ~ c3_1(a2079)
        & ndr1_0
        & c1_1(a2079) ) )
    & ( hskp1
      | ! [X5] :
          ( c2_1(X5)
          | c0_1(X5)
          | c1_1(X5)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ( ~ c2_1(a2099)
        & ndr1_0
        & c0_1(a2099)
        & ~ c3_1(a2099) )
      | ~ hskp15 )
    & ( hskp5
      | hskp26
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c0_1(X6)
          | ~ c3_1(X6)
          | c1_1(X6) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c0_1(X7)
          | c2_1(X7)
          | c1_1(X7) )
      | hskp26
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ c2_1(X8) ) )
    & ( hskp26
      | hskp18
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | ~ c3_1(X9)
          | c1_1(X9) ) )
    & ( ~ hskp12
      | ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & ndr1_0
        & c1_1(a2095) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10) )
      | hskp11
      | ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2130)
        & ndr1_0
        & ~ c2_1(a2130)
        & ~ c1_1(a2130) )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2116)
        & c1_1(a2116)
        & ~ c2_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( hskp2
      | hskp17 )
    & ( ! [X12] :
          ( c1_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12)
          | c0_1(X12) )
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0
          | c1_1(X13) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | ~ c1_1(X14)
          | c2_1(X14) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | c0_1(X15)
          | ~ c1_1(X15)
          | ~ c3_1(X15) )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0
          | c1_1(X16) )
      | ! [X17] :
          ( ~ c1_1(X17)
          | c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X18] :
          ( ~ c2_1(X18)
          | c0_1(X18)
          | ~ ndr1_0
          | ~ c3_1(X18) )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0
          | c3_1(X19) ) )
    & ( hskp8
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ ndr1_0
          | c1_1(X21)
          | c2_1(X21) ) )
    & ( ~ hskp29
      | ( c2_1(a2077)
        & ndr1_0
        & c3_1(a2077)
        & c1_1(a2077) ) )
    & ( ( ndr1_0
        & c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075) )
      | ~ hskp28 )
    & ( hskp4
      | ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp13
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | ~ c2_1(X23)
          | c0_1(X23) )
      | hskp12 )
    & ( ~ hskp26
      | ( c2_1(a2069)
        & c3_1(a2069)
        & ndr1_0
        & c0_1(a2069) ) )
    & ( hskp7
      | hskp4
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ ndr1_0
          | ~ c1_1(X24)
          | ~ c2_1(X24) ) )
    & ( ( ~ c3_1(a2071)
        & ndr1_0
        & c2_1(a2071)
        & c0_1(a2071) )
      | ~ hskp2 )
    & ( ( c3_1(a2074)
        & ndr1_0
        & c1_1(a2074)
        & ~ c2_1(a2074) )
      | ~ hskp4 )
    & ( ~ hskp27
      | ( c1_1(a2073)
        & ndr1_0
        & c0_1(a2073)
        & c3_1(a2073) ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25) )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ ndr1_0
          | c2_1(X26)
          | ~ c1_1(X26) )
      | hskp3 )
    & ( hskp2
      | hskp3
      | ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0
          | c2_1(X27) ) )
    & ( ~ hskp23
      | ( c3_1(a2149)
        & ndr1_0
        & ~ c1_1(a2149)
        & c0_1(a2149) ) )
    & ( hskp10
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ ndr1_0
          | c1_1(X28)
          | ~ c0_1(X28) )
      | hskp11 )
    & ( ! [X29] :
          ( ~ c2_1(X29)
          | ~ ndr1_0
          | ~ c3_1(X29)
          | c1_1(X29) )
      | hskp7
      | hskp15 )
    & ( ~ hskp14
      | ( ~ c2_1(a2097)
        & ndr1_0
        & ~ c0_1(a2097)
        & ~ c1_1(a2097) ) )
    & ( hskp27
      | ! [X30] :
          ( ~ ndr1_0
          | c1_1(X30)
          | ~ c2_1(X30)
          | c0_1(X30) )
      | ! [X31] :
          ( c0_1(X31)
          | ~ ndr1_0
          | c3_1(X31)
          | c1_1(X31) ) )
    & ( ! [X32] :
          ( ~ ndr1_0
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32) )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0
          | c0_1(X33) )
      | hskp6 )
    & ( hskp23
      | hskp27
      | hskp5 )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | c1_1(X34) )
      | ! [X35] :
          ( ~ ndr1_0
          | c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35) )
      | hskp10 )
    & ( ~ hskp10
      | ( ~ c3_1(a2087)
        & c2_1(a2087)
        & ~ c1_1(a2087)
        & ndr1_0 ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | c3_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37) )
      | hskp12 )
    & ( ( ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0
        & ~ c3_1(a2122) )
      | ~ hskp19 )
    & ( ~ hskp9
      | ( ~ c1_1(a2084)
        & c3_1(a2084)
        & ndr1_0
        & c2_1(a2084) ) )
    & ( ~ hskp8
      | ( ~ c0_1(a2082)
        & ndr1_0
        & c1_1(a2082)
        & c2_1(a2082) ) )
    & ( ~ hskp1
      | ( c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0
        & ~ c2_1(a2070) ) )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp23
      | hskp5
      | hskp24 )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ ndr1_0
          | ~ c2_1(X38)
          | c1_1(X38) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | c1_1(X39) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | c0_1(X40) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c2_1(X41)
          | c0_1(X41) )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0
          | c1_1(X42) )
      | hskp8 )
    & ( ! [X43] :
          ( c2_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43) )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0
          | ~ c2_1(X44) )
      | hskp3 )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45) )
      | ! [X46] :
          ( ~ c1_1(X46)
          | c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ( c3_1(a2104)
        & ndr1_0
        & ~ c1_1(a2104)
        & ~ c0_1(a2104) )
      | ~ hskp16 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0
          | ~ c1_1(X47) )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c2_1(X49)
          | c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | c2_1(X50)
          | c0_1(X50) )
      | ! [X51] :
          ( ~ c0_1(X51)
          | ~ ndr1_0
          | ~ c1_1(X51)
          | c2_1(X51) )
      | hskp9 )
    & ( ! [X52] :
          ( c1_1(X52)
          | ~ c0_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53) )
      | hskp17 )
    & ( ! [X54] :
          ( ~ c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X57] :
          ( c2_1(X57)
          | ~ c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58) ) )
    & ( hskp5
      | hskp18
      | hskp6 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59) )
      | hskp4
      | ! [X60] :
          ( c2_1(X60)
          | c1_1(X60)
          | ~ ndr1_0
          | ~ c3_1(X60) ) )
    & ( ( ~ c1_1(a2072)
        & ~ c3_1(a2072)
        & ndr1_0
        & ~ c0_1(a2072) )
      | ~ hskp3 )
    & ( hskp5
      | ! [X61] :
          ( c0_1(X61)
          | ~ ndr1_0
          | c3_1(X61)
          | c1_1(X61) )
      | hskp28 )
    & ( ! [X62] :
          ( ~ c1_1(X62)
          | ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c0_1(X62) )
      | hskp22
      | hskp17 )
    & ( hskp11
      | ! [X63] :
          ( ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0
          | ~ c2_1(X63) )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ ndr1_0
          | c1_1(X64)
          | c3_1(X64) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140) ) )
    & ( ! [X65] :
          ( ~ c2_1(X65)
          | ~ ndr1_0
          | ~ c3_1(X65)
          | c0_1(X65) )
      | hskp0
      | hskp11 )
    & ( ( ndr1_0
        & c2_1(a2110)
        & ~ c1_1(a2110)
        & c0_1(a2110) )
      | ~ hskp17 )
    & ( ~ hskp24
      | ( c1_1(a2160)
        & ndr1_0
        & ~ c3_1(a2160)
        & c2_1(a2160) ) )
    & ( hskp15
      | ! [X66] :
          ( c1_1(X66)
          | ~ ndr1_0
          | ~ c3_1(X66)
          | c2_1(X66) )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp1
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | c0_1(X68)
          | c3_1(X68) )
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0
          | ~ c1_1(X70) )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp25
      | ( c1_1(a2172)
        & ndr1_0
        & ~ c3_1(a2172)
        & ~ c0_1(a2172) ) )
    & ( hskp27
      | hskp7
      | ! [X72] :
          ( ~ ndr1_0
          | c0_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72) ) )
    & ( hskp22
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ ndr1_0
          | ~ c1_1(X73)
          | c2_1(X73) ) )
    & ( hskp20
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0
          | ~ c0_1(X74) )
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c2_1(X76)
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c0_1(X77)
          | c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | ~ ndr1_0
          | c1_1(X78)
          | ~ c2_1(X78) ) )
    & ( ! [X79] :
          ( ~ c1_1(X79)
          | c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0
          | c0_1(X80) )
      | ! [X81] :
          ( c3_1(X81)
          | ~ ndr1_0
          | ~ c1_1(X81)
          | c2_1(X81) ) )
    & ( ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | ~ ndr1_0
          | c2_1(X82) )
      | hskp8
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c3_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0
        & ~ c0_1(a2076) )
      | ~ hskp5 )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X85] :
          ( c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85) )
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0
          | ~ c0_1(X86) )
      | hskp10 )
    & ( hskp7
      | hskp23
      | hskp15 )
    & ( ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0
          | c2_1(X87) )
      | hskp16
      | hskp7 )
    & ( hskp26
      | ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0
          | ~ c2_1(X88) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | c0_1(X89)
          | ~ c3_1(X89) ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0
          | ~ c2_1(X90) )
      | hskp4
      | ! [X91] :
          ( c3_1(X91)
          | c0_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X92] :
          ( ~ c1_1(X92)
          | c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0
          | c1_1(X93) ) )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c3_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | hskp7
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c3_1(X95) ) )
    & ( hskp14
      | ! [X96] :
          ( c0_1(X96)
          | ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c2_1(X96) )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0
          | c1_1(X97) ) )
    & ( ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | hskp1
      | hskp8 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ ndr1_0
          | ~ c0_1(X99)
          | ~ c1_1(X99) )
      | hskp20
      | hskp17 )
    & ( ! [X100] :
          ( ~ c0_1(X100)
          | ~ ndr1_0
          | ~ c2_1(X100)
          | c3_1(X100) )
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ ndr1_0
          | c1_1(X101)
          | c2_1(X101) )
      | hskp16 )
    & ( hskp26
      | ! [X102] :
          ( c1_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ ndr1_0
          | ~ c3_1(X103)
          | c1_1(X103) ) )
    & ( ! [X104] :
          ( c3_1(X104)
          | c2_1(X104)
          | ~ ndr1_0
          | c1_1(X104) )
      | hskp1
      | hskp17 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c1_1(X105) )
      | hskp19
      | hskp11 )
    & ( hskp4
      | hskp28
      | ! [X106] :
          ( c0_1(X106)
          | ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c3_1(X106) ) )
    & ( hskp21
      | ! [X107] :
          ( ~ c0_1(X107)
          | ~ ndr1_0
          | c2_1(X107)
          | ~ c1_1(X107) )
      | hskp16 )
    & ( hskp27
      | ! [X108] :
          ( ~ c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0
          | ~ c3_1(X108) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | c1_1(X109)
          | ~ c2_1(X109) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ~ c1_1(a2096) ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | ~ ndr1_0
          | ~ c3_1(X110)
          | c2_1(X110) )
      | ! [X111] :
          ( c2_1(X111)
          | ~ c3_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ ndr1_0
          | c0_1(X112)
          | ~ c2_1(X112) ) )
    & ( ~ hskp6
      | ( c0_1(a2078)
        & ~ c2_1(a2078)
        & ndr1_0
        & ~ c1_1(a2078) ) )
    & ( hskp29
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113) )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c0_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 ) )
    & ( ! [X115] :
          ( ~ c1_1(X115)
          | ~ c0_1(X115)
          | ~ ndr1_0
          | c2_1(X115) )
      | hskp5
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c1_1(X116)
          | c2_1(X116) ) )
    & ( ! [X117] :
          ( ~ ndr1_0
          | c2_1(X117)
          | c1_1(X117)
          | ~ c0_1(X117) )
      | hskp11
      | ! [X118] :
          ( c0_1(X118)
          | ~ ndr1_0
          | ~ c2_1(X118)
          | c3_1(X118) ) ) ),
    inference(rectify,[],[f6]) ).

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

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

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

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

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c2_1(X81)
                | c3_1(X81) ) )
          | hskp16
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp27
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c0_1(X7)
                | c1_1(X7) ) ) )
        & ( hskp18
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) )
          | hskp26 )
        & ( ( ~ c2_1(a2099)
            & ndr1_0
            & c0_1(a2099)
            & ~ c3_1(a2099) )
          | ~ hskp15 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c3_1(X75)
                | ~ c2_1(X75) ) )
          | hskp27
          | hskp29 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c1_1(X92)
                | c3_1(X92) ) )
          | hskp1
          | hskp8 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | hskp5
          | hskp4 )
        & ( hskp21
          | hskp16
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) ) )
        & ( hskp19
          | ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp11 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) )
          | hskp11 )
        & ( hskp1
          | hskp17
          | hskp23 )
        & ( ( ndr1_0
            & c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075) )
          | ~ hskp28 )
        & ( hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) )
          | hskp27
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c3_1(X70)
                | ~ c2_1(X70) ) ) )
        & ( hskp16
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp7 )
        & ( ( c3_1(a2104)
            & ndr1_0
            & ~ c1_1(a2104)
            & ~ c0_1(a2104) )
          | ~ hskp16 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c0_1(X11)
                | c1_1(X11) ) )
          | hskp28
          | hskp5 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 )
        & ( hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp2 )
        & ( hskp0
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp10
          | hskp11
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c3_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c3_1(X90)
                | ~ c1_1(X90) ) ) )
        & ( hskp26
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c3_1(X98)
                | c1_1(X98) ) )
          | hskp5 )
        & ( ~ hskp12
          | ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & ndr1_0
            & c1_1(a2095) ) )
        & ( hskp25
          | hskp18
          | hskp12 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c3_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp4 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c1_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c0_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) )
          | hskp6
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c3_1(X18)
                | ~ c0_1(X18) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c0_1(X78) ) )
          | hskp26 )
        & ( hskp2
          | hskp17 )
        & ( hskp7
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c0_1(X43)
                | c2_1(X43) ) ) )
        & ( hskp7
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c0_1(X117)
                | ~ c2_1(X117) ) )
          | hskp4 )
        & ( hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) ) )
        & ( hskp22
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp17
          | hskp20
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c0_1(X76)
                | ~ c2_1(X76) ) )
          | hskp11
          | hskp0 )
        & ( ~ hskp8
          | ( ~ c0_1(a2082)
            & ndr1_0
            & c1_1(a2082)
            & c2_1(a2082) ) )
        & ( hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c3_1(X4)
                | ~ c2_1(X4) ) ) )
        & ( ~ hskp6
          | ( c0_1(a2078)
            & ~ c2_1(a2078)
            & ndr1_0
            & ~ c1_1(a2078) ) )
        & ( hskp8
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c0_1(X28)
                | c2_1(X28) ) ) )
        & ( hskp23
          | hskp27
          | hskp5 )
        & ( ( ~ c1_1(a2072)
            & ~ c3_1(a2072)
            & ndr1_0
            & ~ c0_1(a2072) )
          | ~ hskp3 )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | hskp29
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c2_1(X15)
                | c0_1(X15) ) ) )
        & ( ( ~ c3_1(a2071)
            & ndr1_0
            & c2_1(a2071)
            & c0_1(a2071) )
          | ~ hskp2 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) )
          | hskp17
          | hskp22 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c3_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) )
          | hskp20 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c0_1(X22)
                | ~ c3_1(X22) ) )
          | hskp7
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) )
          | hskp11 )
        & ( hskp1
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | hskp17 )
        & ( hskp23
          | hskp5
          | hskp24 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | c3_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ~ c1_1(a2096) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) )
          | hskp12
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( hskp8
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) ) )
        & ( ( c3_1(a2074)
            & ndr1_0
            & c1_1(a2074)
            & ~ c2_1(a2074) )
          | ~ hskp4 )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c0_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ( c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0
            & ~ c0_1(a2076) )
          | ~ hskp5 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c0_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c3_1(X67)
                | c0_1(X67) ) )
          | hskp28
          | hskp4 )
        & ( hskp8
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c3_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | c3_1(X97)
                | ~ c1_1(X97) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c0_1(X52)
                | ~ c2_1(X52) ) )
          | hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c1_1(X53)
                | ~ c3_1(X53) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp15
          | hskp7 )
        & ( hskp10
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp7
          | hskp23
          | hskp15 )
        & ( ~ hskp21
          | ( ~ c2_1(a2136)
            & c0_1(a2136)
            & ndr1_0
            & c1_1(a2136) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c3_1(X35)
                | c2_1(X35) ) )
          | hskp9 )
        & ( ( ndr1_0
            & c2_1(a2110)
            & ~ c1_1(a2110)
            & c0_1(a2110) )
          | ~ hskp17 )
        & ( ~ hskp7
          | ( c0_1(a2079)
            & ~ c3_1(a2079)
            & ndr1_0
            & c1_1(a2079) ) )
        & ( ~ hskp25
          | ( c1_1(a2172)
            & ndr1_0
            & ~ c3_1(a2172)
            & ~ c0_1(a2172) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) )
          | hskp11
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c2_1(X50)
                | c3_1(X50) ) ) )
        & ( hskp5
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | hskp17
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c1_1(X95)
                | c2_1(X95) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | hskp3
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c1_1(X87)
                | ~ c0_1(X87) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c2_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) )
          | hskp16
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c0_1(X9)
                | c1_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | hskp4 )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c3_1(X101) ) )
          | hskp3
          | ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) ) )
        & ( ~ hskp24
          | ( c1_1(a2160)
            & ndr1_0
            & ~ c3_1(a2160)
            & c2_1(a2160) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) )
          | hskp13
          | hskp12 )
        & ( ~ hskp9
          | ( ~ c1_1(a2084)
            & c3_1(a2084)
            & ndr1_0
            & c2_1(a2084) ) )
        & ( ~ hskp23
          | ( c3_1(a2149)
            & ndr1_0
            & ~ c1_1(a2149)
            & c0_1(a2149) ) )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | hskp26 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) )
          | hskp4
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c3_1(X45)
                | ~ c0_1(X45) ) ) )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( ( ~ c3_1(a2130)
            & ndr1_0
            & ~ c2_1(a2130)
            & ~ c1_1(a2130) )
          | ~ hskp20 )
        & ( ( ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0
            & ~ c3_1(a2122) )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & c1_1(a2116)
            & ~ c2_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c0_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp26 )
        & ( ~ hskp10
          | ( ~ c3_1(a2087)
            & c2_1(a2087)
            & ~ c1_1(a2087)
            & ndr1_0 ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | ~ c1_1(X62) ) )
          | hskp15
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | c1_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( hskp4
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c3_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c3_1(X19)
                | c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) ) )
        & ( ~ hskp27
          | ( c1_1(a2073)
            & ndr1_0
            & c0_1(a2073)
            & c3_1(a2073) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) )
          | hskp1 )
        & ( ~ hskp1
          | ( c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0
            & ~ c2_1(a2070) ) )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ~ hskp26
          | ( c2_1(a2069)
            & c3_1(a2069)
            & ndr1_0
            & c0_1(a2069) ) )
        & ( hskp5
          | hskp18
          | hskp6 )
        & ( ~ hskp14
          | ( ~ c2_1(a2097)
            & ndr1_0
            & ~ c0_1(a2097)
            & ~ c1_1(a2097) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) ) )
        & ( ~ hskp29
          | ( c2_1(a2077)
            & ndr1_0
            & c3_1(a2077)
            & c1_1(a2077) ) )
        & ( hskp29
          | hskp3
          | hskp5 )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c1_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c2_1(X81)
              | c3_1(X81) ) )
        | hskp16
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp27
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c0_1(X7)
              | c1_1(X7) ) ) )
      & ( hskp18
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) )
        | hskp26 )
      & ( ( ~ c2_1(a2099)
          & ndr1_0
          & c0_1(a2099)
          & ~ c3_1(a2099) )
        | ~ hskp15 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c0_1(X75)
              | ~ c3_1(X75)
              | ~ c2_1(X75) ) )
        | hskp27
        | hskp29 )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c1_1(X92)
              | c3_1(X92) ) )
        | hskp1
        | hskp8 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | hskp5
        | hskp4 )
      & ( hskp21
        | hskp16
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c3_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) ) )
      & ( hskp19
        | ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) )
        | hskp11 )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) )
        | hskp11 )
      & ( hskp1
        | hskp17
        | hskp23 )
      & ( ( ndr1_0
          & c2_1(a2075)
          & c1_1(a2075)
          & c0_1(a2075) )
        | ~ hskp28 )
      & ( hskp9
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | ~ c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) )
        | hskp27
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c3_1(X70)
              | ~ c2_1(X70) ) ) )
      & ( hskp16
        | ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | c2_1(X116)
              | ~ c3_1(X116) ) )
        | hskp7 )
      & ( ( c3_1(a2104)
          & ndr1_0
          & ~ c1_1(a2104)
          & ~ c0_1(a2104) )
        | ~ hskp16 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c0_1(X11)
              | c1_1(X11) ) )
        | hskp28
        | hskp5 )
      & ( ( ~ c2_1(a2068)
          & ~ c0_1(a2068)
          & c3_1(a2068)
          & ndr1_0 )
        | ~ hskp0 )
      & ( hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp2 )
      & ( hskp0
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp10
        | hskp11
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c3_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c3_1(X90)
              | ~ c1_1(X90) ) ) )
      & ( hskp26
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c3_1(X98)
              | c1_1(X98) ) )
        | hskp5 )
      & ( ~ hskp12
        | ( ~ c2_1(a2095)
          & ~ c0_1(a2095)
          & ndr1_0
          & c1_1(a2095) ) )
      & ( hskp25
        | hskp18
        | hskp12 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c3_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp4 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c1_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c0_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) )
        | hskp6
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c3_1(X18)
              | ~ c0_1(X18) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c3_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c0_1(X78) ) )
        | hskp26 )
      & ( hskp2
        | hskp17 )
      & ( hskp7
        | hskp27
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c0_1(X43)
              | c2_1(X43) ) ) )
      & ( hskp7
        | ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c0_1(X117)
              | ~ c2_1(X117) ) )
        | hskp4 )
      & ( hskp26
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) ) )
      & ( hskp22
        | ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp17
        | hskp20
        | ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c0_1(X76)
              | ~ c2_1(X76) ) )
        | hskp11
        | hskp0 )
      & ( ~ hskp8
        | ( ~ c0_1(a2082)
          & ndr1_0
          & c1_1(a2082)
          & c2_1(a2082) ) )
      & ( hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c3_1(X4)
              | ~ c2_1(X4) ) ) )
      & ( ~ hskp6
        | ( c0_1(a2078)
          & ~ c2_1(a2078)
          & ndr1_0
          & ~ c1_1(a2078) ) )
      & ( hskp8
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c3_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c0_1(X28)
              | c2_1(X28) ) ) )
      & ( hskp23
        | hskp27
        | hskp5 )
      & ( ( ~ c1_1(a2072)
          & ~ c3_1(a2072)
          & ndr1_0
          & ~ c0_1(a2072) )
        | ~ hskp3 )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c0_1(X16)
              | c2_1(X16) ) )
        | hskp29
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | ~ c2_1(X15)
              | c0_1(X15) ) ) )
      & ( ( ~ c3_1(a2071)
          & ndr1_0
          & c2_1(a2071)
          & c0_1(a2071) )
        | ~ hskp2 )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) )
        | hskp17
        | hskp22 )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c3_1(X102)
              | c1_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c2_1(X103)
              | ~ c1_1(X103) ) )
        | hskp20 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c0_1(X22)
              | ~ c3_1(X22) ) )
        | hskp7
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c1_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c1_1(X60) ) )
        | hskp11 )
      & ( hskp1
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) )
        | hskp17 )
      & ( hskp23
        | hskp5
        | hskp24 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c2_1(X2)
              | c3_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c0_1(a2096)
          & c2_1(a2096)
          & ~ c1_1(a2096) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | c2_1(X109) ) )
        | hskp12
        | ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( hskp8
        | ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) ) )
      & ( ( c3_1(a2074)
          & ndr1_0
          & c1_1(a2074)
          & ~ c2_1(a2074) )
        | ~ hskp4 )
      & ( hskp2
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c0_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( ( c3_1(a2076)
          & c1_1(a2076)
          & ndr1_0
          & ~ c0_1(a2076) )
        | ~ hskp5 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c0_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c3_1(X67)
              | c0_1(X67) ) )
        | hskp28
        | hskp4 )
      & ( hskp8
        | ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c3_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | c3_1(X97)
              | ~ c1_1(X97) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c0_1(X52)
              | ~ c2_1(X52) ) )
        | hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c1_1(X53)
              | ~ c3_1(X53) ) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | c1_1(X104)
              | ~ c2_1(X104) ) )
        | hskp15
        | hskp7 )
      & ( hskp10
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp7
        | hskp23
        | hskp15 )
      & ( ~ hskp21
        | ( ~ c2_1(a2136)
          & c0_1(a2136)
          & ndr1_0
          & c1_1(a2136) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c3_1(X35)
              | c2_1(X35) ) )
        | hskp9 )
      & ( ( ndr1_0
          & c2_1(a2110)
          & ~ c1_1(a2110)
          & c0_1(a2110) )
        | ~ hskp17 )
      & ( ~ hskp7
        | ( c0_1(a2079)
          & ~ c3_1(a2079)
          & ndr1_0
          & c1_1(a2079) ) )
      & ( ~ hskp25
        | ( c1_1(a2172)
          & ndr1_0
          & ~ c3_1(a2172)
          & ~ c0_1(a2172) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c0_1(X51) ) )
        | hskp11
        | ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c2_1(X50)
              | c3_1(X50) ) ) )
      & ( hskp5
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c3_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | c0_1(X24)
              | c3_1(X24) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | hskp17
        | ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c1_1(X95)
              | c2_1(X95) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) )
        | hskp3
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c1_1(X87)
              | ~ c0_1(X87) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c2_1(X54)
              | c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c0_1(X71) ) )
        | hskp16
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c0_1(X9)
              | c1_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | hskp4 )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a2140)
          & c3_1(a2140)
          & c2_1(a2140) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c0_1(X101)
              | ~ c3_1(X101) ) )
        | hskp3
        | ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) ) )
      & ( ~ hskp24
        | ( c1_1(a2160)
          & ndr1_0
          & ~ c3_1(a2160)
          & c2_1(a2160) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) )
        | hskp13
        | hskp12 )
      & ( ~ hskp9
        | ( ~ c1_1(a2084)
          & c3_1(a2084)
          & ndr1_0
          & c2_1(a2084) ) )
      & ( ~ hskp23
        | ( c3_1(a2149)
          & ndr1_0
          & ~ c1_1(a2149)
          & c0_1(a2149) ) )
      & ( hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) )
        | hskp26 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) )
        | hskp4
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c3_1(X45)
              | ~ c0_1(X45) ) ) )
      & ( hskp10
        | hskp12
        | hskp24 )
      & ( ( ~ c3_1(a2130)
          & ndr1_0
          & ~ c2_1(a2130)
          & ~ c1_1(a2130) )
        | ~ hskp20 )
      & ( ( ~ c0_1(a2122)
          & c2_1(a2122)
          & ndr1_0
          & ~ c3_1(a2122) )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2116)
          & c1_1(a2116)
          & ~ c2_1(a2116)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c0_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | hskp26 )
      & ( ~ hskp10
        | ( ~ c3_1(a2087)
          & c2_1(a2087)
          & ~ c1_1(a2087)
          & ndr1_0 ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c3_1(X62)
              | ~ c1_1(X62) ) )
        | hskp15
        | ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | c1_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( hskp4
        | ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | ~ c3_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c3_1(X19)
              | c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) ) )
      & ( ~ hskp27
        | ( c1_1(a2073)
          & ndr1_0
          & c0_1(a2073)
          & c3_1(a2073) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c2_1(X48)
              | c0_1(X48) ) )
        | hskp1 )
      & ( ~ hskp1
        | ( c3_1(a2070)
          & c0_1(a2070)
          & ndr1_0
          & ~ c2_1(a2070) ) )
      & ( ( ~ c3_1(a2093)
          & ~ c1_1(a2093)
          & c0_1(a2093)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ~ hskp26
        | ( c2_1(a2069)
          & c3_1(a2069)
          & ndr1_0
          & c0_1(a2069) ) )
      & ( hskp5
        | hskp18
        | hskp6 )
      & ( ~ hskp14
        | ( ~ c2_1(a2097)
          & ndr1_0
          & ~ c0_1(a2097)
          & ~ c1_1(a2097) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c1_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) ) )
      & ( ~ hskp29
        | ( c2_1(a2077)
          & ndr1_0
          & c3_1(a2077)
          & c1_1(a2077) ) )
      & ( hskp29
        | hskp3
        | hskp5 )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | c1_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1015,plain,
    ( ~ spl0_6
    | spl0_151 ),
    inference(avatar_split_clause,[],[f59,f1012,f268]) ).

fof(f268,plain,
    ( spl0_6
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f59,plain,
    ( c1_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1010,plain,
    ( ~ spl0_19
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f259,f325]) ).

fof(f325,plain,
    ( spl0_19
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f259,plain,
    ( spl0_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f12,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1008,plain,
    ( spl0_150
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f51,f459,f1005]) ).

fof(f459,plain,
    ( spl0_51
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f51,plain,
    ( ~ hskp25
    | c1_1(a2172) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1003,plain,
    ( ~ spl0_149
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f61,f380,f1000]) ).

fof(f380,plain,
    ( spl0_32
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f61,plain,
    ( ~ hskp17
    | ~ c1_1(a2110) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f998,plain,
    ( ~ spl0_30
    | spl0_148 ),
    inference(avatar_split_clause,[],[f157,f995,f372]) ).

fof(f372,plain,
    ( spl0_30
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f157,plain,
    ( c1_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f987,plain,
    ( ~ spl0_19
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f13,f984,f325]) ).

fof(f13,plain,
    ( ~ c2_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f982,plain,
    ( ~ spl0_41
    | spl0_145 ),
    inference(avatar_split_clause,[],[f103,f979,f419]) ).

fof(f419,plain,
    ( spl0_41
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f103,plain,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f977,plain,
    ( spl0_1
    | spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f201,f459,f316,f249]) ).

fof(f249,plain,
    ( spl0_1
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f316,plain,
    ( spl0_17
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f201,plain,
    ( hskp25
    | hskp18
    | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f976,plain,
    ( spl0_144
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f119,f264,f973]) ).

fof(f264,plain,
    ( spl0_5
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f119,plain,
    ( ~ hskp10
    | c2_1(a2087) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f971,plain,
    ( ~ spl0_81
    | spl0_143 ),
    inference(avatar_split_clause,[],[f140,f968,f603]) ).

fof(f603,plain,
    ( spl0_81
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f140,plain,
    ( c1_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f966,plain,
    ( spl0_63
    | spl0_35
    | ~ spl0_4
    | spl0_41 ),
    inference(avatar_split_clause,[],[f28,f419,f259,f392,f518]) ).

fof(f518,plain,
    ( spl0_63
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f28,plain,
    ! [X98] :
      ( hskp1
      | ~ ndr1_0
      | c3_1(X98)
      | c1_1(X98)
      | ~ c0_1(X98)
      | hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f965,plain,
    ( ~ spl0_142
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f192,f464,f962]) ).

fof(f464,plain,
    ( spl0_52
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f192,plain,
    ( ~ hskp7
    | ~ c3_1(a2079) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f959,plain,
    ( ~ spl0_141
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f188,f538,f956]) ).

fof(f538,plain,
    ( spl0_67
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f188,plain,
    ( ~ hskp15
    | ~ c2_1(a2099) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f952,plain,
    ( spl0_19
    | spl0_17
    | spl0_12 ),
    inference(avatar_split_clause,[],[f77,f296,f316,f325]) ).

fof(f296,plain,
    ( spl0_12
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f77,plain,
    ( hskp5
    | hskp18
    | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f950,plain,
    ( spl0_9
    | spl0_53
    | ~ spl0_4
    | spl0_74 ),
    inference(avatar_split_clause,[],[f206,f570,f259,f468,f282]) ).

fof(f282,plain,
    ( spl0_9
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f206,plain,
    ! [X74,X75] :
      ( ~ c2_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | hskp20
      | ~ c1_1(X74) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f45,plain,
    ! [X74,X75] :
      ( ~ c1_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | ~ c3_1(X75)
      | hskp20
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | c1_1(X75) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f944,plain,
    ( ~ spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f249,f941]) ).

fof(f180,plain,
    ( ~ hskp12
    | ~ c0_1(a2095) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f939,plain,
    ( ~ spl0_52
    | spl0_138 ),
    inference(avatar_split_clause,[],[f190,f936,f464]) ).

fof(f190,plain,
    ( c1_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( spl0_23
    | ~ spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f46,f253,f259,f341]) ).

fof(f341,plain,
    ( spl0_23
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f46,plain,
    ! [X73] :
      ( ~ c0_1(X73)
      | ~ ndr1_0
      | hskp22
      | ~ c1_1(X73)
      | c2_1(X73) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f932,plain,
    ( spl0_12
    | spl0_96
    | spl0_14
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f155,f259,f305,f687,f296]) ).

fof(f305,plain,
    ( spl0_14
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f155,plain,
    ! [X22] :
      ( ~ ndr1_0
      | hskp4
      | c2_1(X22)
      | hskp5
      | c0_1(X22)
      | c3_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f929,plain,
    ( ~ spl0_137
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f84,f619,f926]) ).

fof(f619,plain,
    ( spl0_84
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f84,plain,
    ( ~ hskp11
    | ~ c1_1(a2093) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f922,plain,
    ( spl0_136
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f146,f436,f919]) ).

fof(f436,plain,
    ( spl0_45
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f146,plain,
    ( ~ hskp2
    | c2_1(a2071) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f917,plain,
    ( ~ spl0_9
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f174,f914,f282]) ).

fof(f174,plain,
    ( ~ c2_1(a2130)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( ~ spl0_43
    | spl0_134 ),
    inference(avatar_split_clause,[],[f90,f909,f427]) ).

fof(f427,plain,
    ( spl0_43
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f90,plain,
    ( c3_1(a2104)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f906,plain,
    ( ~ spl0_12
    | spl0_133 ),
    inference(avatar_split_clause,[],[f40,f903,f296]) ).

fof(f40,plain,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f900,plain,
    ( ~ spl0_4
    | spl0_63
    | spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f209,f484,f309,f518,f259]) ).

fof(f209,plain,
    ! [X41,X42] :
      ( c2_1(X41)
      | c1_1(X42)
      | c0_1(X41)
      | ~ c1_1(X41)
      | hskp8
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X42) ),
    inference(duplicate_literal_removal,[],[f93]) ).

fof(f93,plain,
    ! [X41,X42] :
      ( c2_1(X41)
      | hskp8
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c3_1(X42)
      | ~ c1_1(X41)
      | c0_1(X41)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f899,plain,
    ( spl0_35
    | spl0_72
    | spl0_49
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f210,f259,f451,f561,f392]) ).

fof(f210,plain,
    ! [X56,X54,X55] :
      ( ~ ndr1_0
      | ~ c0_1(X56)
      | ~ c3_1(X56)
      | ~ c2_1(X54)
      | c3_1(X55)
      | ~ c1_1(X56)
      | ~ c0_1(X55)
      | ~ c3_1(X54)
      | c1_1(X55)
      | ~ c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f79,plain,
    ! [X56,X54,X55] :
      ( ~ c0_1(X54)
      | ~ c0_1(X56)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | ~ c2_1(X54)
      | ~ c3_1(X54)
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c3_1(X55)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f898,plain,
    ( spl0_56
    | spl0_28
    | spl0_24
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f211,f259,f346,f362,f484]) ).

fof(f362,plain,
    ( spl0_28
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f211,plain,
    ! [X70,X71] :
      ( ~ ndr1_0
      | ~ c0_1(X71)
      | hskp9
      | ~ c3_1(X71)
      | c0_1(X70)
      | c2_1(X70)
      | ~ c1_1(X70)
      | c2_1(X71) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ! [X70,X71] :
      ( ~ ndr1_0
      | ~ c0_1(X71)
      | hskp9
      | ~ c1_1(X70)
      | c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c2_1(X70)
      | c0_1(X70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f897,plain,
    ( ~ spl0_132
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f141,f305,f894]) ).

fof(f141,plain,
    ( ~ hskp4
    | ~ c2_1(a2074) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f892,plain,
    ( ~ spl0_131
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f176,f282,f889]) ).

fof(f176,plain,
    ( ~ hskp20
    | ~ c3_1(a2130) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f887,plain,
    ( ~ spl0_14
    | spl0_130 ),
    inference(avatar_split_clause,[],[f142,f884,f305]) ).

fof(f142,plain,
    ( c1_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f882,plain,
    ( spl0_74
    | ~ spl0_4
    | spl0_33
    | spl0_24 ),
    inference(avatar_split_clause,[],[f212,f346,f385,f259,f570]) ).

fof(f385,plain,
    ( spl0_33
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f212,plain,
    ! [X44,X43] :
      ( ~ c3_1(X43)
      | hskp3
      | c2_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | ~ c0_1(X43)
      | ~ c2_1(X44)
      | ~ c3_1(X44) ),
    inference(duplicate_literal_removal,[],[f92]) ).

fof(f92,plain,
    ! [X44,X43] :
      ( ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c1_1(X44)
      | ~ c2_1(X44)
      | hskp3
      | c2_1(X43)
      | ~ c0_1(X43) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f881,plain,
    ( ~ spl0_17
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f172,f878,f316]) ).

fof(f172,plain,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f876,plain,
    ( spl0_128
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f97,f291,f873]) ).

fof(f291,plain,
    ( spl0_11
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f97,plain,
    ( ~ hskp0
    | c3_1(a2068) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f871,plain,
    ( ~ spl0_6
    | spl0_127 ),
    inference(avatar_split_clause,[],[f56,f868,f268]) ).

fof(f56,plain,
    ( c2_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( ~ spl0_126
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f98,f291,f863]) ).

fof(f98,plain,
    ( ~ hskp0
    | ~ c0_1(a2068) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f861,plain,
    ( spl0_47
    | ~ spl0_4
    | spl0_52
    | spl0_81 ),
    inference(avatar_split_clause,[],[f47,f603,f464,f259,f444]) ).

fof(f47,plain,
    ! [X72] :
      ( hskp27
      | hskp7
      | ~ ndr1_0
      | c2_1(X72)
      | ~ c3_1(X72)
      | c0_1(X72) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( ~ spl0_63
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f107,f857,f518]) ).

fof(f107,plain,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f850,plain,
    ( spl0_123
    | ~ spl0_4
    | spl0_55
    | spl0_37 ),
    inference(avatar_split_clause,[],[f213,f403,f479,f259,f848]) ).

fof(f213,plain,
    ! [X40,X38,X39] :
      ( c1_1(X38)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | c0_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | c0_1(X40)
      | ~ c2_1(X39)
      | c1_1(X39)
      | ~ c0_1(X39) ),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ! [X40,X38,X39] :
      ( c0_1(X40)
      | c1_1(X39)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X38)
      | ~ c2_1(X38)
      | c1_1(X38)
      | ~ c0_1(X39)
      | ~ c2_1(X40)
      | ~ c2_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f846,plain,
    ( ~ spl0_1
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f181,f843,f249]) ).

fof(f181,plain,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f841,plain,
    ( spl0_121
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f171,f316,f838]) ).

fof(f171,plain,
    ( ~ hskp18
    | c1_1(a2116) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f836,plain,
    ( ~ spl0_81
    | spl0_120 ),
    inference(avatar_split_clause,[],[f138,f833,f603]) ).

fof(f138,plain,
    ( c0_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f831,plain,
    ( ~ spl0_84
    | spl0_119 ),
    inference(avatar_split_clause,[],[f83,f828,f619]) ).

fof(f83,plain,
    ( c0_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f826,plain,
    ( ~ spl0_4
    | spl0_74
    | spl0_46
    | spl0_20 ),
    inference(avatar_split_clause,[],[f214,f329,f441,f570,f259]) ).

fof(f214,plain,
    ! [X14,X12,X13] :
      ( ~ c3_1(X12)
      | c1_1(X12)
      | c2_1(X14)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | c3_1(X14)
      | ~ c3_1(X13)
      | c1_1(X13)
      | ~ c1_1(X14)
      | c0_1(X12) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X14,X12,X13] :
      ( ~ c3_1(X12)
      | c1_1(X12)
      | c2_1(X14)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | ~ c2_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X12)
      | c3_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f824,plain,
    ( spl0_40
    | ~ spl0_4
    | spl0_15
    | spl0_84 ),
    inference(avatar_split_clause,[],[f216,f619,f309,f259,f416]) ).

fof(f216,plain,
    ! [X63,X64] :
      ( hskp11
      | ~ c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c1_1(X64)
      | c0_1(X63)
      | ~ c2_1(X63) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f69,plain,
    ! [X63,X64] :
      ( c0_1(X63)
      | ~ c1_1(X63)
      | ~ c2_1(X64)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ ndr1_0
      | hskp11
      | c3_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f823,plain,
    ( spl0_53
    | ~ spl0_4
    | spl0_84
    | spl0_109 ),
    inference(avatar_split_clause,[],[f217,f764,f619,f259,f468]) ).

fof(f217,plain,
    ! [X10,X11] :
      ( ~ c0_1(X11)
      | hskp11
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c3_1(X11)
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X10,X11] :
      ( c2_1(X11)
      | hskp11
      | ~ c0_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X11)
      | ~ ndr1_0
      | c3_1(X11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f822,plain,
    ( ~ spl0_81
    | spl0_118 ),
    inference(avatar_split_clause,[],[f137,f819,f603]) ).

fof(f137,plain,
    ( c3_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f817,plain,
    ( ~ spl0_4
    | spl0_48
    | spl0_72
    | spl0_14 ),
    inference(avatar_split_clause,[],[f218,f305,f561,f447,f259]) ).

fof(f218,plain,
    ! [X90,X91] :
      ( hskp4
      | ~ c3_1(X90)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X90)
      | ~ c2_1(X90)
      | c0_1(X91)
      | c3_1(X91) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f32,plain,
    ! [X90,X91] :
      ( ~ c2_1(X90)
      | ~ c1_1(X91)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | ~ ndr1_0
      | c0_1(X91)
      | hskp4
      | ~ c0_1(X90) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f813,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(avatar_split_clause,[],[f156,f810,f372]) ).

fof(f156,plain,
    ( c0_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f807,plain,
    ( ~ spl0_116
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f100,f419,f804]) ).

fof(f100,plain,
    ( ~ hskp1
    | ~ c2_1(a2070) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f802,plain,
    ( ~ spl0_4
    | spl0_79
    | spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f220,f444,f305,f593,f259]) ).

fof(f220,plain,
    ! [X59,X60] :
      ( ~ c3_1(X59)
      | hskp4
      | c2_1(X59)
      | c0_1(X59)
      | c1_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X60) ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f76,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ ndr1_0
      | c2_1(X59)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X60)
      | hskp4
      | c1_1(X60)
      | ~ c3_1(X59) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f801,plain,
    ( ~ spl0_4
    | spl0_42
    | spl0_34
    | spl0_24 ),
    inference(avatar_split_clause,[],[f221,f346,f389,f423,f259]) ).

fof(f221,plain,
    ! [X111,X112,X110] :
      ( ~ c0_1(X111)
      | c2_1(X110)
      | ~ c2_1(X112)
      | ~ c3_1(X111)
      | ~ c3_1(X110)
      | ~ c1_1(X110)
      | c3_1(X112)
      | ~ ndr1_0
      | c2_1(X111)
      | c0_1(X112) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,plain,
    ! [X111,X112,X110] :
      ( c2_1(X110)
      | c3_1(X112)
      | c0_1(X112)
      | ~ c2_1(X112)
      | c2_1(X111)
      | ~ ndr1_0
      | ~ c3_1(X110)
      | ~ c0_1(X111)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X110)
      | ~ c3_1(X111) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f800,plain,
    ( ~ spl0_19
    | spl0_115 ),
    inference(avatar_split_clause,[],[f14,f797,f325]) ).

fof(f14,plain,
    ( c0_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f794,plain,
    ( ~ spl0_19
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f11,f791,f325]) ).

fof(f11,plain,
    ( ~ c1_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f789,plain,
    ( ~ spl0_113
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f74,f385,f786]) ).

fof(f74,plain,
    ( ~ hskp3
    | ~ c3_1(a2072) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f783,plain,
    ( ~ spl0_52
    | spl0_112 ),
    inference(avatar_split_clause,[],[f193,f780,f464]) ).

fof(f193,plain,
    ( c0_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f778,plain,
    ( spl0_111
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f41,f296,f775]) ).

fof(f41,plain,
    ( ~ hskp5
    | c3_1(a2076) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f773,plain,
    ( ~ spl0_4
    | spl0_32
    | spl0_110
    | spl0_41 ),
    inference(avatar_split_clause,[],[f24,f419,f771,f380,f259]) ).

fof(f24,plain,
    ! [X104] :
      ( hskp1
      | c3_1(X104)
      | hskp17
      | ~ ndr1_0
      | c2_1(X104)
      | c1_1(X104) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f769,plain,
    ( spl0_4
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f39,f296,f259]) ).

fof(f39,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f768,plain,
    ( spl0_33
    | spl0_12
    | spl0_38 ),
    inference(avatar_split_clause,[],[f203,f406,f296,f385]) ).

fof(f203,plain,
    ( hskp29
    | hskp5
    | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f766,plain,
    ( spl0_55
    | spl0_43
    | spl0_109
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f223,f259,f764,f427,f479]) ).

fof(f223,plain,
    ! [X18,X19] :
      ( ~ ndr1_0
      | ~ c0_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | hskp16
      | ~ c2_1(X18)
      | c0_1(X18)
      | ~ c3_1(X18) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X18,X19] :
      ( c2_1(X19)
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | c0_1(X18)
      | hskp16
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X19)
      | c3_1(X19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( ~ spl0_63
    | spl0_108 ),
    inference(avatar_split_clause,[],[f104,f759,f518]) ).

fof(f104,plain,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f751,plain,
    ( spl0_106
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f152,f475,f748]) ).

fof(f475,plain,
    ( spl0_54
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f152,plain,
    ( ~ hskp26
    | c3_1(a2069) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f745,plain,
    ( ~ spl0_105
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f87,f427,f742]) ).

fof(f87,plain,
    ( ~ hskp16
    | ~ c0_1(a2104) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f740,plain,
    ( ~ spl0_4
    | spl0_84
    | spl0_11
    | spl0_55 ),
    inference(avatar_split_clause,[],[f64,f479,f291,f619,f259]) ).

fof(f64,plain,
    ! [X65] :
      ( ~ c3_1(X65)
      | hskp0
      | hskp11
      | ~ c2_1(X65)
      | ~ ndr1_0
      | c0_1(X65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f739,plain,
    ( ~ spl0_104
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f148,f436,f736]) ).

fof(f148,plain,
    ( ~ hskp2
    | ~ c3_1(a2071) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f733,plain,
    ( ~ spl0_7
    | spl0_103 ),
    inference(avatar_split_clause,[],[f134,f730,f273]) ).

fof(f273,plain,
    ( spl0_7
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f134,plain,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f728,plain,
    ( spl0_37
    | ~ spl0_4
    | spl0_81
    | spl0_16 ),
    inference(avatar_split_clause,[],[f225,f312,f603,f259,f403]) ).

fof(f225,plain,
    ! [X31,X30] :
      ( c3_1(X31)
      | hskp27
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c1_1(X31)
      | c1_1(X30)
      | c0_1(X30)
      | c0_1(X31) ),
    inference(duplicate_literal_removal,[],[f124]) ).

fof(f124,plain,
    ! [X31,X30] :
      ( ~ ndr1_0
      | ~ c2_1(X30)
      | c1_1(X30)
      | c0_1(X30)
      | c1_1(X31)
      | c3_1(X31)
      | c0_1(X31)
      | hskp27
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f726,plain,
    ( ~ spl0_14
    | spl0_102 ),
    inference(avatar_split_clause,[],[f144,f723,f305]) ).

fof(f144,plain,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f715,plain,
    ( spl0_54
    | spl0_17
    | ~ spl0_4
    | spl0_79 ),
    inference(avatar_split_clause,[],[f182,f593,f259,f316,f475]) ).

fof(f182,plain,
    ! [X9] :
      ( c2_1(X9)
      | ~ ndr1_0
      | hskp18
      | c1_1(X9)
      | ~ c3_1(X9)
      | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f712,plain,
    ( spl0_5
    | spl0_72
    | spl0_47
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f227,f259,f444,f561,f264]) ).

fof(f227,plain,
    ! [X86,X85] :
      ( ~ ndr1_0
      | c0_1(X85)
      | c2_1(X85)
      | ~ c3_1(X86)
      | ~ c0_1(X86)
      | hskp10
      | ~ c2_1(X86)
      | ~ c3_1(X85) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f36,plain,
    ! [X86,X85] :
      ( c0_1(X85)
      | ~ ndr1_0
      | ~ c0_1(X86)
      | c2_1(X85)
      | ~ c3_1(X86)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp10
      | ~ c2_1(X86) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f711,plain,
    ( ~ spl0_5
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f120,f708,f264]) ).

fof(f120,plain,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f706,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_84
    | spl0_21 ),
    inference(avatar_split_clause,[],[f130,f332,f619,f264,f259]) ).

fof(f130,plain,
    ! [X28] :
      ( c1_1(X28)
      | hskp11
      | hskp10
      | ~ c3_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f705,plain,
    ( ~ spl0_99
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f57,f268,f702]) ).

fof(f57,plain,
    ( ~ hskp24
    | ~ c3_1(a2160) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f700,plain,
    ( spl0_54
    | spl0_35
    | ~ spl0_4
    | spl0_74 ),
    inference(avatar_split_clause,[],[f228,f570,f259,f392,f475]) ).

fof(f228,plain,
    ! [X102,X103] :
      ( ~ c3_1(X103)
      | ~ ndr1_0
      | c3_1(X102)
      | c1_1(X102)
      | c1_1(X103)
      | ~ c2_1(X103)
      | ~ c0_1(X102)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f25,plain,
    ! [X102,X103] :
      ( ~ ndr1_0
      | hskp26
      | c3_1(X102)
      | ~ c0_1(X102)
      | ~ c3_1(X103)
      | ~ c2_1(X103)
      | c1_1(X102)
      | c1_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f699,plain,
    ( ~ spl0_1
    | spl0_98 ),
    inference(avatar_split_clause,[],[f178,f696,f249]) ).

fof(f178,plain,
    ( c1_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f694,plain,
    ( spl0_97
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f145,f436,f691]) ).

fof(f145,plain,
    ( ~ hskp2
    | c0_1(a2071) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f689,plain,
    ( spl0_96
    | ~ spl0_4
    | spl0_15
    | spl0_34 ),
    inference(avatar_split_clause,[],[f229,f389,f309,f259,f687]) ).

fof(f229,plain,
    ! [X78,X76,X77] :
      ( ~ c1_1(X76)
      | c1_1(X78)
      | ~ c3_1(X76)
      | c3_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | c3_1(X77)
      | c2_1(X76)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f44,plain,
    ! [X78,X76,X77] :
      ( c3_1(X78)
      | c2_1(X77)
      | ~ ndr1_0
      | c0_1(X77)
      | ~ c2_1(X78)
      | ~ c1_1(X76)
      | c3_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | c1_1(X78) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f685,plain,
    ( ~ spl0_33
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f75,f682,f385]) ).

fof(f75,plain,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f674,plain,
    ( ~ spl0_4
    | spl0_31
    | spl0_11 ),
    inference(avatar_split_clause,[],[f37,f291,f376,f259]) ).

fof(f37,plain,
    ! [X84] :
      ( hskp0
      | ~ c3_1(X84)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | c0_1(X84) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f673,plain,
    ( spl0_93
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f65,f341,f670]) ).

fof(f65,plain,
    ( ~ hskp22
    | c2_1(a2140) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f668,plain,
    ( ~ spl0_92
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f72,f385,f665]) ).

fof(f72,plain,
    ( ~ hskp3
    | ~ c0_1(a2072) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f663,plain,
    ( ~ spl0_43
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f88,f660,f427]) ).

fof(f88,plain,
    ( ~ c1_1(a2104)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f653,plain,
    ( ~ spl0_51
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f48,f650,f459]) ).

fof(f48,plain,
    ( ~ c0_1(a2172)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f648,plain,
    ( ~ spl0_32
    | spl0_88 ),
    inference(avatar_split_clause,[],[f62,f645,f380]) ).

fof(f62,plain,
    ( c2_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f641,plain,
    ( spl0_87
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f60,f380,f638]) ).

fof(f60,plain,
    ( ~ hskp17
    | c0_1(a2110) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f636,plain,
    ( spl0_86
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f150,f475,f633]) ).

fof(f150,plain,
    ( ~ hskp26
    | c0_1(a2069) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f631,plain,
    ( spl0_52
    | ~ spl0_4
    | spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f230,f451,f329,f259,f464]) ).

fof(f230,plain,
    ! [X94,X95] :
      ( ~ c3_1(X95)
      | ~ c1_1(X95)
      | c0_1(X94)
      | ~ ndr1_0
      | c1_1(X94)
      | ~ c0_1(X95)
      | ~ c3_1(X94)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f30,plain,
    ! [X94,X95] :
      ( ~ c0_1(X95)
      | hskp7
      | c0_1(X94)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X94)
      | ~ c3_1(X95)
      | ~ c3_1(X94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f630,plain,
    ( spl0_12
    | spl0_2
    | spl0_34
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f231,f259,f389,f253,f296]) ).

fof(f231,plain,
    ! [X116,X115] :
      ( ~ ndr1_0
      | c2_1(X116)
      | ~ c1_1(X116)
      | ~ c1_1(X115)
      | hskp5
      | c2_1(X115)
      | ~ c3_1(X116)
      | ~ c0_1(X115) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,plain,
    ! [X116,X115] :
      ( c2_1(X116)
      | ~ c3_1(X116)
      | c2_1(X115)
      | ~ c0_1(X115)
      | hskp5
      | ~ c1_1(X115)
      | ~ ndr1_0
      | ~ c1_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f627,plain,
    ( ~ spl0_85
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f85,f619,f624]) ).

fof(f85,plain,
    ( ~ hskp11
    | ~ c3_1(a2093) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f617,plain,
    ( ~ spl0_4
    | spl0_12
    | spl0_30
    | spl0_16 ),
    inference(avatar_split_clause,[],[f71,f312,f372,f296,f259]) ).

fof(f71,plain,
    ! [X61] :
      ( c1_1(X61)
      | c3_1(X61)
      | hskp28
      | hskp5
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f611,plain,
    ( spl0_82
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f131,f273,f608]) ).

fof(f131,plain,
    ( ~ hskp23
    | c0_1(a2149) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f606,plain,
    ( spl0_81
    | ~ spl0_4
    | spl0_74
    | spl0_55 ),
    inference(avatar_split_clause,[],[f233,f479,f570,f259,f603]) ).

fof(f233,plain,
    ! [X108,X109] :
      ( c0_1(X108)
      | ~ c3_1(X108)
      | ~ c3_1(X109)
      | c1_1(X109)
      | ~ ndr1_0
      | hskp27
      | ~ c2_1(X109)
      | ~ c2_1(X108) ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f20,plain,
    ! [X108,X109] :
      ( ~ c3_1(X108)
      | ~ ndr1_0
      | ~ c2_1(X108)
      | c0_1(X108)
      | c1_1(X109)
      | ~ ndr1_0
      | hskp27
      | ~ c3_1(X109)
      | ~ c2_1(X109) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f596,plain,
    ( spl0_32
    | spl0_41
    | spl0_7 ),
    inference(avatar_split_clause,[],[f198,f273,f419,f380]) ).

fof(f198,plain,
    ( hskp23
    | hskp1
    | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f595,plain,
    ( ~ spl0_4
    | spl0_79
    | spl0_63
    | spl0_77 ),
    inference(avatar_split_clause,[],[f234,f584,f518,f593,f259]) ).

fof(f234,plain,
    ! [X21,X20] :
      ( ~ c2_1(X20)
      | ~ c3_1(X20)
      | ~ c1_1(X20)
      | hskp8
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X21,X20] :
      ( ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c3_1(X21)
      | c1_1(X21)
      | ~ ndr1_0
      | ~ c2_1(X20)
      | hskp8
      | ~ c1_1(X20)
      | c2_1(X21) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f591,plain,
    ( ~ spl0_54
    | spl0_78 ),
    inference(avatar_split_clause,[],[f153,f588,f475]) ).

fof(f153,plain,
    ( c2_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f586,plain,
    ( ~ spl0_4
    | spl0_48
    | spl0_63
    | spl0_77 ),
    inference(avatar_split_clause,[],[f235,f584,f518,f447,f259]) ).

fof(f235,plain,
    ! [X46,X45] :
      ( ~ c3_1(X45)
      | hskp8
      | ~ c1_1(X46)
      | ~ c1_1(X45)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X45)
      | c0_1(X46) ),
    inference(duplicate_literal_removal,[],[f91]) ).

fof(f91,plain,
    ! [X46,X45] :
      ( hskp8
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c1_1(X45)
      | c0_1(X46)
      | ~ c1_1(X46) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f582,plain,
    ( ~ spl0_76
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f185,f538,f579]) ).

fof(f185,plain,
    ( ~ hskp15
    | ~ c3_1(a2099) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f577,plain,
    ( spl0_75
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f102,f419,f574]) ).

fof(f102,plain,
    ( ~ hskp1
    | c0_1(a2070) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f572,plain,
    ( ~ spl0_4
    | spl0_67
    | spl0_52
    | spl0_74 ),
    inference(avatar_split_clause,[],[f129,f570,f464,f538,f259]) ).

fof(f129,plain,
    ! [X29] :
      ( c1_1(X29)
      | hskp7
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c2_1(X29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f568,plain,
    ( ~ spl0_73
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f118,f264,f565]) ).

fof(f118,plain,
    ( ~ hskp10
    | ~ c1_1(a2087) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f551,plain,
    ( ~ spl0_23
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f67,f548,f341]) ).

fof(f67,plain,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f546,plain,
    ( ~ spl0_38
    | spl0_68 ),
    inference(avatar_split_clause,[],[f160,f543,f406]) ).

fof(f160,plain,
    ( c1_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f541,plain,
    ( spl0_66
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f186,f538,f534]) ).

fof(f186,plain,
    ( ~ hskp15
    | c0_1(a2099) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f521,plain,
    ( spl0_62
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f105,f518,f514]) ).

fof(f105,plain,
    ( ~ hskp8
    | c1_1(a2082) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f512,plain,
    ( spl0_61
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f161,f406,f509]) ).

fof(f161,plain,
    ( ~ hskp29
    | c3_1(a2077) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f507,plain,
    ( ~ spl0_11
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f99,f504,f291]) ).

fof(f99,plain,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f501,plain,
    ( ~ spl0_28
    | spl0_59 ),
    inference(avatar_split_clause,[],[f110,f498,f362]) ).

fof(f110,plain,
    ( c3_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f486,plain,
    ( spl0_2
    | spl0_56
    | ~ spl0_4
    | spl0_28 ),
    inference(avatar_split_clause,[],[f238,f362,f259,f484,f253]) ).

fof(f238,plain,
    ! [X50,X51] :
      ( hskp9
      | ~ ndr1_0
      | ~ c1_1(X50)
      | c2_1(X50)
      | ~ c0_1(X51)
      | ~ c1_1(X51)
      | c2_1(X51)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f81,plain,
    ! [X50,X51] :
      ( c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0
      | c2_1(X51)
      | hskp9
      | ~ c1_1(X51)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f481,plain,
    ( spl0_54
    | ~ spl0_4
    | spl0_53
    | spl0_55 ),
    inference(avatar_split_clause,[],[f239,f479,f468,f259,f475]) ).

fof(f239,plain,
    ! [X88,X89] :
      ( ~ c3_1(X89)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c0_1(X89)
      | ~ c2_1(X89)
      | hskp26
      | ~ c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X88,X89] :
      ( ~ c2_1(X89)
      | ~ c1_1(X88)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X89)
      | c0_1(X89)
      | ~ c2_1(X88)
      | ~ c0_1(X88)
      | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f462,plain,
    ( ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f49,f459,f455]) ).

fof(f49,plain,
    ( ~ hskp25
    | ~ c3_1(a2172) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f449,plain,
    ( ~ spl0_4
    | spl0_46
    | spl0_47
    | spl0_48 ),
    inference(avatar_split_clause,[],[f240,f447,f444,f441,f259]) ).

fof(f240,plain,
    ! [X80,X81,X79] :
      ( c0_1(X79)
      | c2_1(X80)
      | ~ c1_1(X79)
      | c3_1(X81)
      | c0_1(X80)
      | ~ c1_1(X81)
      | c2_1(X81)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c3_1(X79) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f43,plain,
    ! [X80,X81,X79] :
      ( c3_1(X81)
      | c0_1(X80)
      | ~ ndr1_0
      | c3_1(X79)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | ~ c1_1(X81)
      | ~ c1_1(X79)
      | ~ ndr1_0
      | c0_1(X79)
      | c2_1(X80)
      | c2_1(X81) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f439,plain,
    ( spl0_32
    | spl0_45 ),
    inference(avatar_split_clause,[],[f168,f436,f380]) ).

fof(f168,plain,
    ( hskp2
    | hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f425,plain,
    ( spl0_40
    | ~ spl0_4
    | spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f241,f423,f419,f259,f416]) ).

fof(f241,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c0_1(X69)
      | c3_1(X68)
      | ~ c2_1(X69)
      | ~ c2_1(X68) ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f53,plain,
    ! [X68,X69] :
      ( ~ ndr1_0
      | ~ c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0
      | c0_1(X68)
      | ~ c2_1(X68)
      | c3_1(X68)
      | hskp1
      | ~ c1_1(X69) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f414,plain,
    ( ~ spl0_28
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f111,f411,f362]) ).

fof(f111,plain,
    ( ~ c1_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f400,plain,
    ( ~ spl0_30
    | spl0_36 ),
    inference(avatar_split_clause,[],[f158,f397,f372]) ).

fof(f158,plain,
    ( c2_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f395,plain,
    ( spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f169,f316,f259]) ).

fof(f169,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f394,plain,
    ( spl0_33
    | ~ spl0_4
    | spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f243,f392,f389,f259,f385]) ).

fof(f243,plain,
    ! [X26,X25] :
      ( ~ c0_1(X25)
      | ~ c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | hskp3
      | c1_1(X25)
      | c3_1(X25)
      | ~ c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X26,X25] :
      ( c1_1(X25)
      | ~ ndr1_0
      | hskp3
      | ~ c1_1(X26)
      | c2_1(X26)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c0_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f378,plain,
    ( ~ spl0_4
    | spl0_14
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f22,f376,f372,f305,f259]) ).

fof(f22,plain,
    ! [X106] :
      ( c0_1(X106)
      | ~ c3_1(X106)
      | ~ c1_1(X106)
      | hskp28
      | hskp4
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f365,plain,
    ( spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f108,f362,f358]) ).

fof(f108,plain,
    ( ~ hskp9
    | c2_1(a2084) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f351,plain,
    ( spl0_14
    | ~ spl0_4
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f244,f349,f346,f259,f305]) ).

fof(f244,plain,
    ! [X58,X57] :
      ( ~ c2_1(X58)
      | c2_1(X57)
      | ~ c3_1(X57)
      | ~ c0_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | hskp4
      | ~ c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f78,plain,
    ! [X58,X57] :
      ( ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | hskp4
      | c3_1(X58)
      | ~ c3_1(X57) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f344,plain,
    ( spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f66,f341,f337]) ).

fof(f66,plain,
    ( ~ hskp22
    | c3_1(a2140) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f323,plain,
    ( ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f170,f320,f316]) ).

fof(f170,plain,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f314,plain,
    ( spl0_14
    | spl0_15
    | spl0_16
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f246,f259,f312,f309,f305]) ).

fof(f246,plain,
    ! [X3,X4] :
      ( ~ ndr1_0
      | c1_1(X3)
      | c1_1(X4)
      | c3_1(X4)
      | ~ c2_1(X4)
      | hskp4
      | c0_1(X3)
      | c3_1(X3) ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f199,plain,
    ! [X3,X4] :
      ( c1_1(X4)
      | c0_1(X3)
      | hskp4
      | c3_1(X3)
      | ~ c2_1(X4)
      | c1_1(X3)
      | c3_1(X4)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f303,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f38,f300,f296]) ).

fof(f38,plain,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f289,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f173,f286,f282]) ).

fof(f173,plain,
    ( ~ c1_1(a2130)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f280,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f132,f277,f273]) ).

fof(f132,plain,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f271,plain,
    ( spl0_5
    | spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f54,f268,f249,f264]) ).

fof(f54,plain,
    ( hskp24
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN485+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % 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 : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:03:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (7129)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)
% 0.19/0.50  % (7145)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)
% 0.19/0.50  % (7119)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)
% 0.19/0.50  % (7137)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)
% 0.19/0.51  % (7120)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)
% 0.19/0.51  % (7138)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)
% 0.19/0.51  % (7130)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)
% 0.19/0.52  % (7116)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (7130)Instruction limit reached!
% 0.19/0.52  % (7130)------------------------------
% 0.19/0.52  % (7130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7130)Termination reason: Unknown
% 0.19/0.52  % (7130)Termination phase: Preprocessing 2
% 0.19/0.52  
% 0.19/0.52  % (7130)Memory used [KB]: 1663
% 0.19/0.52  % (7130)Time elapsed: 0.004 s
% 0.19/0.52  % (7130)Instructions burned: 3 (million)
% 0.19/0.52  % (7130)------------------------------
% 0.19/0.52  % (7130)------------------------------
% 0.19/0.52  % (7122)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)
% 0.19/0.52  % (7128)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.52  % (7118)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)
% 0.19/0.52  % (7118)Instruction limit reached!
% 0.19/0.52  % (7118)------------------------------
% 0.19/0.52  % (7118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7118)Termination reason: Unknown
% 0.19/0.52  % (7118)Termination phase: Naming
% 0.19/0.52  
% 0.19/0.52  % (7118)Memory used [KB]: 1791
% 0.19/0.52  % (7118)Time elapsed: 0.003 s
% 0.19/0.52  % (7118)Instructions burned: 3 (million)
% 0.19/0.52  % (7118)------------------------------
% 0.19/0.52  % (7118)------------------------------
% 0.19/0.52  % (7117)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  % (7140)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  % (7136)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)
% 0.19/0.53  % (7141)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53  % (7144)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)
% 0.19/0.53  % (7121)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)
% 0.19/0.53  % (7142)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)
% 0.19/0.53  % (7134)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)
% 0.19/0.53  % (7120)Instruction limit reached!
% 0.19/0.53  % (7120)------------------------------
% 0.19/0.53  % (7120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7134)Instruction limit reached!
% 0.19/0.53  % (7134)------------------------------
% 0.19/0.53  % (7134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7127)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  % (7131)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)
% 0.19/0.54  % (7132)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)
% 0.19/0.54  % (7126)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  % (7131)Instruction limit reached!
% 0.19/0.54  % (7131)------------------------------
% 0.19/0.54  % (7131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7131)Termination reason: Unknown
% 0.19/0.54  % (7131)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (7131)Memory used [KB]: 6652
% 0.19/0.54  % (7131)Time elapsed: 0.005 s
% 0.19/0.54  % (7131)Instructions burned: 8 (million)
% 0.19/0.54  % (7131)------------------------------
% 0.19/0.54  % (7131)------------------------------
% 0.19/0.54  % (7133)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (7133)Instruction limit reached!
% 0.19/0.54  % (7133)------------------------------
% 0.19/0.54  % (7133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7133)Termination reason: Unknown
% 0.19/0.54  % (7133)Termination phase: Preprocessing 2
% 0.19/0.54  
% 0.19/0.54  % (7133)Memory used [KB]: 1791
% 0.19/0.54  % (7133)Time elapsed: 0.003 s
% 0.19/0.54  % (7133)Instructions burned: 3 (million)
% 0.19/0.54  % (7133)------------------------------
% 0.19/0.54  % (7133)------------------------------
% 0.19/0.54  % (7124)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)
% 0.19/0.54  % (7139)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)
% 0.19/0.54  % (7117)Instruction limit reached!
% 0.19/0.54  % (7117)------------------------------
% 0.19/0.54  % (7117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7117)Termination reason: Unknown
% 0.19/0.54  % (7117)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (7117)Memory used [KB]: 6908
% 0.19/0.54  % (7117)Time elapsed: 0.010 s
% 0.19/0.54  % (7117)Instructions burned: 13 (million)
% 0.19/0.54  % (7117)------------------------------
% 0.19/0.54  % (7117)------------------------------
% 0.19/0.54  % (7135)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54  % (7134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7134)Termination reason: Unknown
% 0.19/0.54  % (7134)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (7134)Memory used [KB]: 1663
% 0.19/0.54  % (7134)Time elapsed: 0.003 s
% 0.19/0.54  % (7134)Instructions burned: 2 (million)
% 0.19/0.54  % (7134)------------------------------
% 0.19/0.54  % (7134)------------------------------
% 0.19/0.54  % (7143)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)
% 0.19/0.54  % (7125)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  % (7120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (7120)Termination reason: Unknown
% 0.19/0.55  % (7120)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (7120)Memory used [KB]: 6908
% 0.19/0.55  % (7120)Time elapsed: 0.136 s
% 0.19/0.55  % (7120)Instructions burned: 14 (million)
% 0.19/0.55  % (7120)------------------------------
% 0.19/0.55  % (7120)------------------------------
% 0.19/0.55  % (7126)Instruction limit reached!
% 0.19/0.55  % (7126)------------------------------
% 0.19/0.55  % (7126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (7126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (7126)Termination reason: Unknown
% 0.19/0.55  % (7126)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (7126)Memory used [KB]: 6780
% 0.19/0.55  % (7126)Time elapsed: 0.009 s
% 0.19/0.55  % (7126)Instructions burned: 12 (million)
% 0.19/0.55  % (7126)------------------------------
% 0.19/0.55  % (7126)------------------------------
% 0.19/0.55  % (7135)Instruction limit reached!
% 0.19/0.55  % (7135)------------------------------
% 0.19/0.55  % (7135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (7135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (7135)Termination reason: Unknown
% 0.19/0.55  % (7135)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (7135)Memory used [KB]: 6780
% 0.19/0.55  % (7135)Time elapsed: 0.155 s
% 0.19/0.55  % (7135)Instructions burned: 12 (million)
% 0.19/0.55  % (7135)------------------------------
% 0.19/0.55  % (7135)------------------------------
% 0.19/0.55  % (7145)Instruction limit reached!
% 0.19/0.55  % (7145)------------------------------
% 0.19/0.55  % (7145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (7144)Instruction limit reached!
% 0.19/0.55  % (7144)------------------------------
% 0.19/0.55  % (7144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (7144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (7144)Termination reason: Unknown
% 0.19/0.55  % (7144)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (7144)Memory used [KB]: 6652
% 0.19/0.55  % (7144)Time elapsed: 0.006 s
% 0.19/0.55  % (7144)Instructions burned: 9 (million)
% 0.19/0.55  % (7144)------------------------------
% 0.19/0.55  % (7144)------------------------------
% 0.19/0.55  % (7123)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.56  % (7127)Instruction limit reached!
% 0.19/0.56  % (7127)------------------------------
% 0.19/0.56  % (7127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (7128)Instruction limit reached!
% 0.19/0.56  % (7128)------------------------------
% 0.19/0.56  % (7128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (7127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (7128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (7127)Termination reason: Unknown
% 0.19/0.56  % (7128)Termination reason: Unknown
% 0.19/0.56  % (7127)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (7128)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (7127)Memory used [KB]: 6524
% 0.19/0.56  % (7128)Memory used [KB]: 2046
% 0.19/0.56  % (7127)Time elapsed: 0.005 s
% 0.19/0.56  % (7128)Time elapsed: 0.148 s
% 0.19/0.56  % (7127)Instructions burned: 8 (million)
% 0.19/0.56  % (7128)Instructions burned: 17 (million)
% 0.19/0.56  % (7127)------------------------------
% 0.19/0.56  % (7127)------------------------------
% 0.19/0.56  % (7128)------------------------------
% 0.19/0.56  % (7128)------------------------------
% 0.19/0.56  % (7145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (7145)Termination reason: Unknown
% 0.19/0.56  % (7145)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (7145)Memory used [KB]: 6780
% 0.19/0.56  % (7145)Time elapsed: 0.137 s
% 0.19/0.56  % (7145)Instructions burned: 24 (million)
% 0.19/0.56  % (7145)------------------------------
% 0.19/0.56  % (7145)------------------------------
% 0.19/0.56  % (7121)Instruction limit reached!
% 0.19/0.56  % (7121)------------------------------
% 0.19/0.56  % (7121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (7121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (7121)Termination reason: Unknown
% 0.19/0.56  % (7121)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (7121)Memory used [KB]: 2046
% 0.19/0.56  % (7121)Time elapsed: 0.161 s
% 0.19/0.56  % (7121)Instructions burned: 15 (million)
% 0.19/0.56  % (7121)------------------------------
% 0.19/0.56  % (7121)------------------------------
% 0.19/0.57  % (7136)Instruction limit reached!
% 0.19/0.57  % (7136)------------------------------
% 0.19/0.57  % (7136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (7136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (7136)Termination reason: Unknown
% 0.19/0.57  % (7136)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (7136)Memory used [KB]: 7164
% 0.19/0.57  % (7136)Time elapsed: 0.171 s
% 0.19/0.57  % (7136)Instructions burned: 30 (million)
% 0.19/0.57  % (7136)------------------------------
% 0.19/0.57  % (7136)------------------------------
% 0.19/0.57  % (7122)Instruction limit reached!
% 0.19/0.57  % (7122)------------------------------
% 0.19/0.57  % (7122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (7122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (7122)Termination reason: Unknown
% 0.19/0.57  % (7122)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (7122)Memory used [KB]: 7291
% 0.19/0.57  % (7122)Time elapsed: 0.142 s
% 0.19/0.57  % (7122)Instructions burned: 39 (million)
% 0.19/0.57  % (7122)------------------------------
% 0.19/0.57  % (7122)------------------------------
% 0.19/0.57  % (7138)First to succeed.
% 0.19/0.58  % (7129)Instruction limit reached!
% 0.19/0.58  % (7129)------------------------------
% 0.19/0.58  % (7129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (7129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (7129)Termination reason: Unknown
% 0.19/0.58  % (7129)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (7129)Memory used [KB]: 7803
% 0.19/0.58  % (7129)Time elapsed: 0.172 s
% 0.19/0.58  % (7129)Instructions burned: 52 (million)
% 0.19/0.58  % (7129)------------------------------
% 0.19/0.58  % (7129)------------------------------
% 0.19/0.58  % (7143)Instruction limit reached!
% 0.19/0.58  % (7143)------------------------------
% 0.19/0.58  % (7143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (7143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (7143)Termination reason: Unknown
% 0.19/0.58  % (7143)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (7143)Memory used [KB]: 7036
% 0.19/0.58  % (7143)Time elapsed: 0.186 s
% 0.19/0.58  % (7143)Instructions burned: 26 (million)
% 0.19/0.58  % (7143)------------------------------
% 0.19/0.58  % (7143)------------------------------
% 0.19/0.59  % (7125)Instruction limit reached!
% 0.19/0.59  % (7125)------------------------------
% 0.19/0.59  % (7125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (7125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (7125)Termination reason: Unknown
% 0.19/0.59  % (7125)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (7125)Memory used [KB]: 7419
% 0.19/0.59  % (7125)Time elapsed: 0.193 s
% 0.19/0.59  % (7125)Instructions burned: 35 (million)
% 0.19/0.59  % (7125)------------------------------
% 0.19/0.59  % (7125)------------------------------
% 0.19/0.59  % (7119)Instruction limit reached!
% 0.19/0.59  % (7119)------------------------------
% 0.19/0.59  % (7119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (7119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (7119)Termination reason: Unknown
% 0.19/0.59  % (7119)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (7119)Memory used [KB]: 7675
% 0.19/0.59  % (7119)Time elapsed: 0.194 s
% 0.19/0.59  % (7119)Instructions burned: 51 (million)
% 0.19/0.59  % (7119)------------------------------
% 0.19/0.59  % (7119)------------------------------
% 1.94/0.61  % (7138)Refutation found. Thanks to Tanya!
% 1.94/0.61  % SZS status Theorem for theBenchmark
% 1.94/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.61  % (7138)------------------------------
% 1.94/0.61  % (7138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61  % (7138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (7138)Termination reason: Refutation
% 1.94/0.61  
% 1.94/0.61  % (7138)Memory used [KB]: 8187
% 1.94/0.61  % (7138)Time elapsed: 0.113 s
% 1.94/0.61  % (7138)Instructions burned: 37 (million)
% 1.94/0.61  % (7138)------------------------------
% 1.94/0.61  % (7138)------------------------------
% 1.94/0.61  % (7115)Success in time 0.25 s
%------------------------------------------------------------------------------