TSTP Solution File: SYN465+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN465+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 04:34:50 EDT 2024

% Result   : Theorem 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  114
% Syntax   : Number of formulae    :  483 (   1 unt;   0 def)
%            Number of atoms       : 5613 (   0 equ)
%            Maximal formula atoms :  668 (  11 avg)
%            Number of connectives : 7639 (2509   ~;3439   |;1170   &)
%                                         ( 113 <=>; 408  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  151 ( 150 usr; 147 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  743 ( 743   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2317,plain,
    $false,
    inference(avatar_sat_refutation,[],[f269,f278,f292,f309,f340,f346,f363,f364,f383,f384,f392,f400,f401,f405,f406,f434,f435,f459,f464,f465,f469,f472,f473,f477,f478,f482,f490,f491,f499,f508,f512,f532,f537,f542,f548,f553,f558,f564,f569,f574,f580,f585,f590,f596,f601,f606,f612,f617,f622,f628,f633,f638,f644,f649,f654,f692,f697,f702,f724,f729,f734,f772,f777,f782,f788,f793,f798,f831,f836,f841,f846,f852,f857,f862,f884,f889,f894,f900,f905,f910,f916,f921,f926,f932,f937,f942,f980,f985,f990,f991,f1007,f1048,f1109,f1128,f1142,f1154,f1155,f1171,f1201,f1202,f1204,f1226,f1235,f1251,f1256,f1300,f1377,f1378,f1496,f1506,f1507,f1572,f1577,f1643,f1644,f1761,f1765,f1768,f1770,f1771,f1774,f1775,f1777,f1780,f1788,f1790,f1802,f1823,f1825,f1846,f1870,f1901,f1925,f1944,f1965,f2071,f2090,f2118,f2119,f2151,f2152,f2236,f2291,f2309,f2311,f2316]) ).

fof(f2316,plain,
    ( ~ spl0_175
    | spl0_122
    | ~ spl0_33
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2177,f843,f377,f833,f1253]) ).

fof(f1253,plain,
    ( spl0_175
  <=> c0_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f833,plain,
    ( spl0_122
  <=> c2_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f377,plain,
    ( spl0_33
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f843,plain,
    ( spl0_124
  <=> c1_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2177,plain,
    ( c2_1(a24)
    | ~ c0_1(a24)
    | ~ spl0_33
    | ~ spl0_124 ),
    inference(resolution,[],[f378,f845]) ).

fof(f845,plain,
    ( c1_1(a24)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f378,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f2311,plain,
    ( ~ spl0_112
    | spl0_167
    | ~ spl0_61
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2302,f769,f510,f1138,f779]) ).

fof(f779,plain,
    ( spl0_112
  <=> c2_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1138,plain,
    ( spl0_167
  <=> c0_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f510,plain,
    ( spl0_61
  <=> ! [X91] :
        ( ~ c2_1(X91)
        | c0_1(X91)
        | c1_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f769,plain,
    ( spl0_110
  <=> c1_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2302,plain,
    ( c0_1(a30)
    | ~ c2_1(a30)
    | ~ spl0_61
    | spl0_110 ),
    inference(resolution,[],[f511,f771]) ).

fof(f771,plain,
    ( ~ c1_1(a30)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f511,plain,
    ( ! [X91] :
        ( c1_1(X91)
        | c0_1(X91)
        | ~ c2_1(X91) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f2309,plain,
    ( ~ spl0_142
    | spl0_187
    | ~ spl0_61
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2298,f934,f510,f1632,f939]) ).

fof(f939,plain,
    ( spl0_142
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1632,plain,
    ( spl0_187
  <=> c0_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f934,plain,
    ( spl0_141
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2298,plain,
    ( c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_61
    | spl0_141 ),
    inference(resolution,[],[f511,f936]) ).

fof(f936,plain,
    ( ~ c1_1(a10)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f2291,plain,
    ( ~ spl0_111
    | spl0_167
    | ~ spl0_60
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2280,f769,f506,f1138,f774]) ).

fof(f774,plain,
    ( spl0_111
  <=> c3_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f506,plain,
    ( spl0_60
  <=> ! [X88] :
        ( ~ c3_1(X88)
        | c0_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2280,plain,
    ( c0_1(a30)
    | ~ c3_1(a30)
    | ~ spl0_60
    | spl0_110 ),
    inference(resolution,[],[f507,f771]) ).

fof(f507,plain,
    ( ! [X88] :
        ( c1_1(X88)
        | c0_1(X88)
        | ~ c3_1(X88) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f2236,plain,
    ( spl0_140
    | spl0_141
    | ~ spl0_40
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f2228,f1632,f408,f934,f929]) ).

fof(f929,plain,
    ( spl0_140
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f408,plain,
    ( spl0_40
  <=> ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c3_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2228,plain,
    ( c1_1(a10)
    | c3_1(a10)
    | ~ spl0_40
    | ~ spl0_187 ),
    inference(resolution,[],[f409,f1633]) ).

fof(f1633,plain,
    ( c0_1(a10)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f409,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c3_1(X32) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f2152,plain,
    ( ~ spl0_127
    | spl0_125
    | ~ spl0_46
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f2142,f1574,f432,f849,f859]) ).

fof(f859,plain,
    ( spl0_127
  <=> c0_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f849,plain,
    ( spl0_125
  <=> c3_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f432,plain,
    ( spl0_46
  <=> ! [X37] :
        ( ~ c1_1(X37)
        | c3_1(X37)
        | ~ c0_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1574,plain,
    ( spl0_184
  <=> c1_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2142,plain,
    ( c3_1(a21)
    | ~ c0_1(a21)
    | ~ spl0_46
    | ~ spl0_184 ),
    inference(resolution,[],[f433,f1576]) ).

fof(f1576,plain,
    ( c1_1(a21)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f433,plain,
    ( ! [X37] :
        ( ~ c1_1(X37)
        | c3_1(X37)
        | ~ c0_1(X37) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2151,plain,
    ( ~ spl0_139
    | spl0_137
    | ~ spl0_46
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2139,f918,f432,f913,f923]) ).

fof(f923,plain,
    ( spl0_139
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f913,plain,
    ( spl0_137
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f918,plain,
    ( spl0_138
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2139,plain,
    ( c3_1(a12)
    | ~ c0_1(a12)
    | ~ spl0_46
    | ~ spl0_138 ),
    inference(resolution,[],[f433,f920]) ).

fof(f920,plain,
    ( c1_1(a12)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f2119,plain,
    ( ~ spl0_115
    | spl0_168
    | ~ spl0_58
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2108,f790,f493,f1151,f795]) ).

fof(f795,plain,
    ( spl0_115
  <=> c1_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1151,plain,
    ( spl0_168
  <=> c0_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f493,plain,
    ( spl0_58
  <=> ! [X75] :
        ( ~ c1_1(X75)
        | c0_1(X75)
        | c2_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f790,plain,
    ( spl0_114
  <=> c2_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2108,plain,
    ( c0_1(a29)
    | ~ c1_1(a29)
    | ~ spl0_58
    | spl0_114 ),
    inference(resolution,[],[f494,f792]) ).

fof(f792,plain,
    ( ~ c2_1(a29)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f494,plain,
    ( ! [X75] :
        ( c2_1(X75)
        | c0_1(X75)
        | ~ c1_1(X75) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f2118,plain,
    ( ~ spl0_124
    | spl0_175
    | ~ spl0_58
    | spl0_122 ),
    inference(avatar_split_clause,[],[f2106,f833,f493,f1253,f843]) ).

fof(f2106,plain,
    ( c0_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_58
    | spl0_122 ),
    inference(resolution,[],[f494,f835]) ).

fof(f835,plain,
    ( ~ c2_1(a24)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f2090,plain,
    ( spl0_113
    | ~ spl0_168
    | ~ spl0_35
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2082,f790,f386,f1151,f785]) ).

fof(f785,plain,
    ( spl0_113
  <=> c3_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f386,plain,
    ( spl0_35
  <=> ! [X20] :
        ( ~ c0_1(X20)
        | c2_1(X20)
        | c3_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2082,plain,
    ( ~ c0_1(a29)
    | c3_1(a29)
    | ~ spl0_35
    | spl0_114 ),
    inference(resolution,[],[f387,f792]) ).

fof(f387,plain,
    ( ! [X20] :
        ( c2_1(X20)
        | ~ c0_1(X20)
        | c3_1(X20) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f2071,plain,
    ( spl0_181
    | spl0_134
    | ~ spl0_54
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2059,f902,f467,f897,f1431]) ).

fof(f1431,plain,
    ( spl0_181
  <=> c3_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f897,plain,
    ( spl0_134
  <=> c0_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f467,plain,
    ( spl0_54
  <=> ! [X52] :
        ( ~ c2_1(X52)
        | c0_1(X52)
        | c3_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f902,plain,
    ( spl0_135
  <=> c2_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2059,plain,
    ( c0_1(a13)
    | c3_1(a13)
    | ~ spl0_54
    | ~ spl0_135 ),
    inference(resolution,[],[f468,f904]) ).

fof(f904,plain,
    ( c2_1(a13)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f468,plain,
    ( ! [X52] :
        ( ~ c2_1(X52)
        | c0_1(X52)
        | c3_1(X52) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1965,plain,
    ( ~ spl0_124
    | ~ spl0_175
    | ~ spl0_21
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1832,f838,f324,f1253,f843]) ).

fof(f324,plain,
    ( spl0_21
  <=> ! [X4] :
        ( ~ c3_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f838,plain,
    ( spl0_123
  <=> c3_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1832,plain,
    ( ~ c0_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_21
    | ~ spl0_123 ),
    inference(resolution,[],[f325,f840]) ).

fof(f840,plain,
    ( c3_1(a24)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f325,plain,
    ( ! [X4] :
        ( ~ c3_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f1944,plain,
    ( spl0_125
    | spl0_184
    | ~ spl0_40
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1932,f859,f408,f1574,f849]) ).

fof(f1932,plain,
    ( c1_1(a21)
    | c3_1(a21)
    | ~ spl0_40
    | ~ spl0_127 ),
    inference(resolution,[],[f409,f861]) ).

fof(f861,plain,
    ( c0_1(a21)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f1925,plain,
    ( ~ spl0_163
    | spl0_78
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1924,f603,f394,f598,f1069]) ).

fof(f1069,plain,
    ( spl0_163
  <=> c0_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f598,plain,
    ( spl0_78
  <=> c1_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f394,plain,
    ( spl0_37
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f603,plain,
    ( spl0_79
  <=> c3_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1924,plain,
    ( c1_1(a65)
    | ~ c0_1(a65)
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(resolution,[],[f395,f605]) ).

fof(f605,plain,
    ( c3_1(a65)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f395,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f1901,plain,
    ( ~ spl0_112
    | spl0_110
    | ~ spl0_36
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1896,f774,f390,f769,f779]) ).

fof(f390,plain,
    ( spl0_36
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1896,plain,
    ( c1_1(a30)
    | ~ c2_1(a30)
    | ~ spl0_36
    | ~ spl0_111 ),
    inference(resolution,[],[f391,f776]) ).

fof(f776,plain,
    ( c3_1(a30)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f391,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f1870,plain,
    ( spl0_125
    | ~ spl0_127
    | ~ spl0_35
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1861,f854,f386,f859,f849]) ).

fof(f854,plain,
    ( spl0_126
  <=> c2_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1861,plain,
    ( ~ c0_1(a21)
    | c3_1(a21)
    | ~ spl0_35
    | spl0_126 ),
    inference(resolution,[],[f387,f856]) ).

fof(f856,plain,
    ( ~ c2_1(a21)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f1846,plain,
    ( ~ spl0_161
    | ~ spl0_70
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1841,f545,f324,f555,f1045]) ).

fof(f1045,plain,
    ( spl0_161
  <=> c1_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f555,plain,
    ( spl0_70
  <=> c0_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f545,plain,
    ( spl0_68
  <=> c3_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1841,plain,
    ( ~ c0_1(a20)
    | ~ c1_1(a20)
    | ~ spl0_21
    | ~ spl0_68 ),
    inference(resolution,[],[f325,f547]) ).

fof(f547,plain,
    ( c3_1(a20)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1825,plain,
    ( ~ spl0_174
    | ~ spl0_67
    | ~ spl0_18
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1822,f529,f311,f539,f1232]) ).

fof(f1232,plain,
    ( spl0_174
  <=> c2_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f539,plain,
    ( spl0_67
  <=> c0_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f311,plain,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f529,plain,
    ( spl0_65
  <=> c3_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1822,plain,
    ( ~ c0_1(a76)
    | ~ c2_1(a76)
    | ~ spl0_18
    | ~ spl0_65 ),
    inference(resolution,[],[f312,f531]) ).

fof(f531,plain,
    ( c3_1(a76)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f312,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f1823,plain,
    ( ~ spl0_74
    | ~ spl0_76
    | ~ spl0_18
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1819,f1223,f311,f587,f577]) ).

fof(f577,plain,
    ( spl0_74
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f587,plain,
    ( spl0_76
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1223,plain,
    ( spl0_173
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1819,plain,
    ( ~ c0_1(a2)
    | ~ c2_1(a2)
    | ~ spl0_18
    | ~ spl0_173 ),
    inference(resolution,[],[f312,f1225]) ).

fof(f1225,plain,
    ( c3_1(a2)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1802,plain,
    ( spl0_113
    | ~ spl0_115
    | ~ spl0_55
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1801,f1151,f475,f795,f785]) ).

fof(f475,plain,
    ( spl0_55
  <=> ! [X61] :
        ( ~ c1_1(X61)
        | c0_1(X61)
        | c3_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1801,plain,
    ( ~ c1_1(a29)
    | c3_1(a29)
    | ~ spl0_55
    | spl0_168 ),
    inference(resolution,[],[f1153,f476]) ).

fof(f476,plain,
    ( ! [X61] :
        ( c0_1(X61)
        | ~ c1_1(X61)
        | c3_1(X61) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f1153,plain,
    ( ~ c0_1(a29)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f1790,plain,
    ( spl0_101
    | ~ spl0_103
    | ~ spl0_55
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1789,f726,f475,f731,f721]) ).

fof(f721,plain,
    ( spl0_101
  <=> c3_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f731,plain,
    ( spl0_103
  <=> c1_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f726,plain,
    ( spl0_102
  <=> c0_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1789,plain,
    ( ~ c1_1(a35)
    | c3_1(a35)
    | ~ spl0_55
    | spl0_102 ),
    inference(resolution,[],[f728,f476]) ).

fof(f728,plain,
    ( ~ c0_1(a35)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f1788,plain,
    ( spl0_95
    | ~ spl0_177
    | ~ spl0_55
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1787,f694,f475,f1297,f689]) ).

fof(f689,plain,
    ( spl0_95
  <=> c3_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1297,plain,
    ( spl0_177
  <=> c1_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f694,plain,
    ( spl0_96
  <=> c0_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1787,plain,
    ( ~ c1_1(a39)
    | c3_1(a39)
    | ~ spl0_55
    | spl0_96 ),
    inference(resolution,[],[f696,f476]) ).

fof(f696,plain,
    ( ~ c0_1(a39)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f1780,plain,
    ( ~ spl0_66
    | ~ spl0_67
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1778,f529,f324,f539,f534]) ).

fof(f534,plain,
    ( spl0_66
  <=> c1_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1778,plain,
    ( ~ c0_1(a76)
    | ~ c1_1(a76)
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(resolution,[],[f531,f325]) ).

fof(f1777,plain,
    ( spl0_181
    | ~ spl0_136
    | ~ spl0_55
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1733,f897,f475,f907,f1431]) ).

fof(f907,plain,
    ( spl0_136
  <=> c1_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1733,plain,
    ( ~ c1_1(a13)
    | c3_1(a13)
    | ~ spl0_55
    | spl0_134 ),
    inference(resolution,[],[f476,f899]) ).

fof(f899,plain,
    ( ~ c0_1(a13)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1775,plain,
    ( ~ spl0_136
    | spl0_134
    | ~ spl0_51
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1685,f1431,f453,f897,f907]) ).

fof(f453,plain,
    ( spl0_51
  <=> ! [X45] :
        ( ~ c3_1(X45)
        | c0_1(X45)
        | ~ c1_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1685,plain,
    ( c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_51
    | ~ spl0_181 ),
    inference(resolution,[],[f454,f1433]) ).

fof(f1433,plain,
    ( c3_1(a13)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1431]) ).

fof(f454,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | c0_1(X45)
        | ~ c1_1(X45) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f1774,plain,
    ( ~ spl0_135
    | ~ spl0_136
    | ~ spl0_15
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1540,f1431,f298,f907,f902]) ).

fof(f298,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1540,plain,
    ( ~ c1_1(a13)
    | ~ c2_1(a13)
    | ~ spl0_15
    | ~ spl0_181 ),
    inference(resolution,[],[f1433,f299]) ).

fof(f299,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1771,plain,
    ( spl0_95
    | spl0_96
    | ~ spl0_54
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1725,f699,f467,f694,f689]) ).

fof(f699,plain,
    ( spl0_97
  <=> c2_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1725,plain,
    ( c0_1(a39)
    | c3_1(a39)
    | ~ spl0_54
    | ~ spl0_97 ),
    inference(resolution,[],[f468,f701]) ).

fof(f701,plain,
    ( c2_1(a39)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f1770,plain,
    ( ~ spl0_69
    | spl0_161
    | ~ spl0_36
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1668,f545,f390,f1045,f550]) ).

fof(f550,plain,
    ( spl0_69
  <=> c2_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1668,plain,
    ( c1_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_36
    | ~ spl0_68 ),
    inference(resolution,[],[f391,f547]) ).

fof(f1768,plain,
    ( spl0_77
    | spl0_163
    | ~ spl0_56
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1755,f603,f480,f1069,f593]) ).

fof(f593,plain,
    ( spl0_77
  <=> c2_1(a65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f480,plain,
    ( spl0_56
  <=> ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1755,plain,
    ( c0_1(a65)
    | c2_1(a65)
    | ~ spl0_56
    | ~ spl0_79 ),
    inference(resolution,[],[f481,f605]) ).

fof(f481,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1765,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_56
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1752,f651,f480,f646,f641]) ).

fof(f641,plain,
    ( spl0_86
  <=> c2_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f646,plain,
    ( spl0_87
  <=> c0_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f651,plain,
    ( spl0_88
  <=> c3_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1752,plain,
    ( c0_1(a52)
    | c2_1(a52)
    | ~ spl0_56
    | ~ spl0_88 ),
    inference(resolution,[],[f481,f653]) ).

fof(f653,plain,
    ( c3_1(a52)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f1761,plain,
    ( spl0_122
    | spl0_175
    | ~ spl0_56
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1748,f838,f480,f1253,f833]) ).

fof(f1748,plain,
    ( c0_1(a24)
    | c2_1(a24)
    | ~ spl0_56
    | ~ spl0_123 ),
    inference(resolution,[],[f481,f840]) ).

fof(f1644,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_34
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1642,f1574,f381,f854,f849]) ).

fof(f381,plain,
    ( spl0_34
  <=> ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17)
        | c3_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1642,plain,
    ( c2_1(a21)
    | c3_1(a21)
    | ~ spl0_34
    | ~ spl0_184 ),
    inference(resolution,[],[f1576,f382]) ).

fof(f382,plain,
    ( ! [X17] :
        ( ~ c1_1(X17)
        | c2_1(X17)
        | c3_1(X17) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f1643,plain,
    ( ~ spl0_127
    | spl0_126
    | ~ spl0_33
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1641,f1574,f377,f854,f859]) ).

fof(f1641,plain,
    ( c2_1(a21)
    | ~ c0_1(a21)
    | ~ spl0_33
    | ~ spl0_184 ),
    inference(resolution,[],[f1576,f378]) ).

fof(f1577,plain,
    ( spl0_126
    | spl0_184
    | ~ spl0_45
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1557,f849,f429,f1574,f854]) ).

fof(f429,plain,
    ( spl0_45
  <=> ! [X38] :
        ( c3_1(X38)
        | c1_1(X38)
        | c2_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1557,plain,
    ( c1_1(a21)
    | c2_1(a21)
    | ~ spl0_45
    | spl0_125 ),
    inference(resolution,[],[f430,f851]) ).

fof(f851,plain,
    ( ~ c3_1(a21)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f430,plain,
    ( ! [X38] :
        ( c3_1(X38)
        | c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1572,plain,
    ( spl0_132
    | spl0_133
    | ~ spl0_45
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1556,f881,f429,f891,f886]) ).

fof(f886,plain,
    ( spl0_132
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f891,plain,
    ( spl0_133
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f881,plain,
    ( spl0_131
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1556,plain,
    ( c1_1(a15)
    | c2_1(a15)
    | ~ spl0_45
    | spl0_131 ),
    inference(resolution,[],[f430,f883]) ).

fof(f883,plain,
    ( ~ c3_1(a15)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f1507,plain,
    ( ~ spl0_70
    | spl0_161
    | ~ spl0_37
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1504,f545,f394,f1045,f555]) ).

fof(f1504,plain,
    ( c1_1(a20)
    | ~ c0_1(a20)
    | ~ spl0_37
    | ~ spl0_68 ),
    inference(resolution,[],[f547,f395]) ).

fof(f1506,plain,
    ( ~ spl0_69
    | ~ spl0_70
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1501,f545,f311,f555,f550]) ).

fof(f1501,plain,
    ( ~ c0_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(resolution,[],[f547,f312]) ).

fof(f1496,plain,
    ( ~ spl0_136
    | spl0_134
    | ~ spl0_53
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1487,f902,f461,f897,f907]) ).

fof(f461,plain,
    ( spl0_53
  <=> ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1487,plain,
    ( c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_53
    | ~ spl0_135 ),
    inference(resolution,[],[f462,f904]) ).

fof(f462,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1378,plain,
    ( ~ spl0_174
    | ~ spl0_66
    | ~ spl0_15
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1374,f529,f298,f534,f1232]) ).

fof(f1374,plain,
    ( ~ c1_1(a76)
    | ~ c2_1(a76)
    | ~ spl0_15
    | ~ spl0_65 ),
    inference(resolution,[],[f299,f531]) ).

fof(f1377,plain,
    ( ~ spl0_72
    | ~ spl0_73
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1373,f561,f298,f571,f566]) ).

fof(f566,plain,
    ( spl0_72
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f571,plain,
    ( spl0_73
  <=> c1_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f561,plain,
    ( spl0_71
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1373,plain,
    ( ~ c1_1(a8)
    | ~ c2_1(a8)
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(resolution,[],[f299,f563]) ).

fof(f563,plain,
    ( c3_1(a8)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f1300,plain,
    ( spl0_95
    | spl0_177
    | ~ spl0_39
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1284,f699,f403,f1297,f689]) ).

fof(f403,plain,
    ( spl0_39
  <=> ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | c3_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1284,plain,
    ( c1_1(a39)
    | c3_1(a39)
    | ~ spl0_39
    | ~ spl0_97 ),
    inference(resolution,[],[f404,f701]) ).

fof(f404,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | c3_1(X28) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f1256,plain,
    ( ~ spl0_124
    | spl0_175
    | ~ spl0_51
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1250,f838,f453,f1253,f843]) ).

fof(f1250,plain,
    ( c0_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_51
    | ~ spl0_123 ),
    inference(resolution,[],[f840,f454]) ).

fof(f1251,plain,
    ( ~ spl0_124
    | spl0_122
    | ~ spl0_28
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1247,f838,f357,f833,f843]) ).

fof(f357,plain,
    ( spl0_28
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1247,plain,
    ( c2_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_28
    | ~ spl0_123 ),
    inference(resolution,[],[f840,f358]) ).

fof(f358,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1235,plain,
    ( ~ spl0_66
    | spl0_174
    | ~ spl0_28
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1227,f529,f357,f1232,f534]) ).

fof(f1227,plain,
    ( c2_1(a76)
    | ~ c1_1(a76)
    | ~ spl0_28
    | ~ spl0_65 ),
    inference(resolution,[],[f531,f358]) ).

fof(f1226,plain,
    ( ~ spl0_76
    | spl0_173
    | ~ spl0_46
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1220,f582,f432,f1223,f587]) ).

fof(f582,plain,
    ( spl0_75
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1220,plain,
    ( c3_1(a2)
    | ~ c0_1(a2)
    | ~ spl0_46
    | ~ spl0_75 ),
    inference(resolution,[],[f584,f433]) ).

fof(f584,plain,
    ( c1_1(a2)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1204,plain,
    ( ~ spl0_151
    | spl0_171
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1194,f982,f394,f1198,f987]) ).

fof(f987,plain,
    ( spl0_151
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1198,plain,
    ( spl0_171
  <=> c1_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f982,plain,
    ( spl0_150
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1194,plain,
    ( c1_1(a6)
    | ~ c0_1(a6)
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(resolution,[],[f984,f395]) ).

fof(f984,plain,
    ( c3_1(a6)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f1202,plain,
    ( ~ spl0_171
    | spl0_149
    | ~ spl0_28
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1192,f982,f357,f977,f1198]) ).

fof(f977,plain,
    ( spl0_149
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1192,plain,
    ( c2_1(a6)
    | ~ c1_1(a6)
    | ~ spl0_28
    | ~ spl0_150 ),
    inference(resolution,[],[f984,f358]) ).

fof(f1201,plain,
    ( ~ spl0_171
    | ~ spl0_151
    | ~ spl0_21
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1191,f982,f324,f987,f1198]) ).

fof(f1191,plain,
    ( ~ c0_1(a6)
    | ~ c1_1(a6)
    | ~ spl0_21
    | ~ spl0_150 ),
    inference(resolution,[],[f984,f325]) ).

fof(f1171,plain,
    ( ~ spl0_85
    | spl0_83
    | ~ spl0_37
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1162,f630,f394,f625,f635]) ).

fof(f635,plain,
    ( spl0_85
  <=> c0_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f625,plain,
    ( spl0_83
  <=> c1_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f630,plain,
    ( spl0_84
  <=> c3_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1162,plain,
    ( c1_1(a54)
    | ~ c0_1(a54)
    | ~ spl0_37
    | ~ spl0_84 ),
    inference(resolution,[],[f632,f395]) ).

fof(f632,plain,
    ( c3_1(a54)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f1155,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_34
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1148,f795,f381,f790,f785]) ).

fof(f1148,plain,
    ( c2_1(a29)
    | c3_1(a29)
    | ~ spl0_34
    | ~ spl0_115 ),
    inference(resolution,[],[f797,f382]) ).

fof(f797,plain,
    ( c1_1(a29)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f1154,plain,
    ( ~ spl0_168
    | spl0_113
    | ~ spl0_46
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1147,f795,f432,f785,f1151]) ).

fof(f1147,plain,
    ( c3_1(a29)
    | ~ c0_1(a29)
    | ~ spl0_46
    | ~ spl0_115 ),
    inference(resolution,[],[f797,f433]) ).

fof(f1142,plain,
    ( ~ spl0_167
    | spl0_110
    | ~ spl0_37
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1134,f774,f394,f769,f1138]) ).

fof(f1134,plain,
    ( c1_1(a30)
    | ~ c0_1(a30)
    | ~ spl0_37
    | ~ spl0_111 ),
    inference(resolution,[],[f776,f395]) ).

fof(f1128,plain,
    ( spl0_80
    | spl0_82
    | ~ spl0_54
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1126,f1106,f467,f619,f609]) ).

fof(f609,plain,
    ( spl0_80
  <=> c3_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f619,plain,
    ( spl0_82
  <=> c0_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1106,plain,
    ( spl0_166
  <=> c2_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1126,plain,
    ( c0_1(a57)
    | c3_1(a57)
    | ~ spl0_54
    | ~ spl0_166 ),
    inference(resolution,[],[f468,f1108]) ).

fof(f1108,plain,
    ( c2_1(a57)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1109,plain,
    ( spl0_166
    | spl0_81
    | ~ spl0_45
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1100,f609,f429,f614,f1106]) ).

fof(f614,plain,
    ( spl0_81
  <=> c1_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1100,plain,
    ( c1_1(a57)
    | c2_1(a57)
    | ~ spl0_45
    | spl0_80 ),
    inference(resolution,[],[f430,f611]) ).

fof(f611,plain,
    ( ~ c3_1(a57)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f1048,plain,
    ( ~ spl0_69
    | ~ spl0_161
    | ~ spl0_15
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1043,f545,f298,f1045,f550]) ).

fof(f1043,plain,
    ( ~ c1_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_15
    | ~ spl0_68 ),
    inference(resolution,[],[f299,f547]) ).

fof(f1007,plain,
    ( ~ spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f15,f294,f271]) ).

fof(f271,plain,
    ( spl0_9
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f294,plain,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

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

fof(f6,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp28
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp12
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp0
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp28
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp17
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c0_1(X49)
          | c3_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp3
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp30
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X70] :
          ( ~ c0_1(X70)
          | c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X94] :
          ( ~ c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp28
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp12
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp0
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp28
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp17
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c0_1(X49)
          | c3_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp3
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp30
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X70] :
          ( ~ c0_1(X70)
          | c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X94] :
          ( ~ c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp9
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp13
      | hskp15
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp31
      | hskp28
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp14
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp26
      | hskp12
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp19
      | hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp2
      | hskp0
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp21
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp27
      | hskp18
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | ~ c0_1(X10) ) ) )
    & ( hskp9
      | hskp28
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) ) )
    & ( hskp16
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp7
      | hskp28
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp17
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp26
      | hskp28
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp3
      | hskp25
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp12
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp24
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp15
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp21
      | hskp8
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c1_1(X25)
            | ~ c0_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp3
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp9
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp2
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp6
      | hskp17
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp23
      | hskp30
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp22
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c0_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp8
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp4
      | hskp20
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp19
      | hskp11
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp18
      | hskp17
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp30
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c3_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp16
      | hskp15
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp14
      | hskp3
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp8
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp12
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp8
      | hskp30
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp11
      | hskp30
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp5
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp5
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp10
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp7
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c3_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | ~ c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp9
      | hskp0
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp8
      | hskp7
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp28
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp6
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp5
      | hskp29
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp3
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | ~ c0_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp2
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp1
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp0
      | hskp28
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp0
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c0_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp5
          | hskp24
          | hskp21 )
        & ( hskp27
          | hskp6
          | hskp12 )
        & ( hskp26
          | hskp27
          | hskp3 )
        & ( hskp13
          | hskp2
          | hskp3 )
        & ( hskp26
          | hskp30
          | hskp7 )
        & ( hskp24
          | hskp12
          | hskp31 )
        & ( hskp2
          | hskp12
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp9
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp13
          | hskp15
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp31
          | hskp28
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp14
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp26
          | hskp12
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp19
          | hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp2
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp21
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp27
          | hskp18
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) ) )
        & ( hskp9
          | hskp28
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) ) )
        & ( hskp16
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp7
          | hskp28
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp17
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp26
          | hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp3
          | hskp25
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp12
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp24
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp15
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp21
          | hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c1_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp3
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp6
          | hskp17
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp23
          | hskp30
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp22
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp4
          | hskp20
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp19
          | hskp11
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp18
          | hskp17
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp30
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp16
          | hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp14
          | hskp3
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp8
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp8
          | hskp30
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp11
          | hskp30
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp5
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp5
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp10
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp7
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp9
          | hskp0
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp8
          | hskp7
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp28
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp6
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp5
          | hskp29
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp3
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c0_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp2
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp1
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp0
          | hskp28
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp0
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ( c3_1(a76)
            & c1_1(a76)
            & c0_1(a76)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a20)
            & c2_1(a20)
            & c0_1(a20)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a8)
            & c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2)
            & c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a65)
            & ~ c1_1(a65)
            & c3_1(a65)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a57)
            & ~ c1_1(a57)
            & ~ c0_1(a57)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a54)
            & c3_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a52)
            & ~ c0_1(a52)
            & c3_1(a52)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a42)
            & ~ c1_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a40)
            & ~ c2_1(a40)
            & ~ c0_1(a40)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a39)
            & ~ c0_1(a39)
            & c2_1(a39)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a36)
            & c1_1(a36)
            & c0_1(a36)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a35)
            & ~ c0_1(a35)
            & c1_1(a35)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a33)
            & c2_1(a33)
            & c1_1(a33)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a30)
            & c3_1(a30)
            & c2_1(a30)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a29)
            & ~ c2_1(a29)
            & c1_1(a29)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a26)
            & ~ c0_1(a26)
            & c3_1(a26)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a24)
            & c3_1(a24)
            & c1_1(a24)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a21)
            & ~ c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a17)
            & ~ c0_1(a17)
            & c1_1(a17)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a10)
            & ~ c1_1(a10)
            & c2_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a9)
            & ~ c1_1(a9)
            & ~ c0_1(a9)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a7)
            & c3_1(a7)
            & c1_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a6)
            & c3_1(a6)
            & c0_1(a6)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a4)
            & c2_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & ~ c1_1(a1)
            & c0_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp24
          | hskp21 )
        & ( hskp27
          | hskp6
          | hskp12 )
        & ( hskp26
          | hskp27
          | hskp3 )
        & ( hskp13
          | hskp2
          | hskp3 )
        & ( hskp26
          | hskp30
          | hskp7 )
        & ( hskp24
          | hskp12
          | hskp31 )
        & ( hskp2
          | hskp12
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) ) )
        & ( hskp9
          | hskp25
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) ) )
        & ( hskp13
          | hskp15
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c0_1(X99) ) ) )
        & ( hskp31
          | hskp28
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) ) )
        & ( hskp24
          | hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( hskp26
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( hskp19
          | hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) ) )
        & ( hskp2
          | hskp0
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( hskp21
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp27
          | hskp18
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp9
          | hskp28
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp16
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp7
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp17
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp26
          | hskp28
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp3
          | hskp25
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp12
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp24
          | hskp3
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp15
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp21
          | hskp8
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp3
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp9
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp2
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp6
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp23
          | hskp30
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp22
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp21
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp8
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp4
          | hskp20
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp19
          | hskp11
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | hskp17
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp30
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c0_1(X54)
                | c3_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp16
          | hskp15
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp14
          | hskp3
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp13
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp8
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp12
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | hskp30
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp11
          | hskp30
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp5
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp5
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp7
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp9
          | hskp0
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp8
          | hskp7
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp5
          | hskp29
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp3
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c3_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp0
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a76)
            & c1_1(a76)
            & c0_1(a76)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a20)
            & c2_1(a20)
            & c0_1(a20)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a8)
            & c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2)
            & c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a65)
            & ~ c1_1(a65)
            & c3_1(a65)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a57)
            & ~ c1_1(a57)
            & ~ c0_1(a57)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a54)
            & c3_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a52)
            & ~ c0_1(a52)
            & c3_1(a52)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a42)
            & ~ c1_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a40)
            & ~ c2_1(a40)
            & ~ c0_1(a40)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a39)
            & ~ c0_1(a39)
            & c2_1(a39)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a36)
            & c1_1(a36)
            & c0_1(a36)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a35)
            & ~ c0_1(a35)
            & c1_1(a35)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a33)
            & c2_1(a33)
            & c1_1(a33)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a30)
            & c3_1(a30)
            & c2_1(a30)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a29)
            & ~ c2_1(a29)
            & c1_1(a29)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a26)
            & ~ c0_1(a26)
            & c3_1(a26)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a24)
            & c3_1(a24)
            & c1_1(a24)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a21)
            & ~ c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a17)
            & ~ c0_1(a17)
            & c1_1(a17)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a10)
            & ~ c1_1(a10)
            & c2_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a9)
            & ~ c1_1(a9)
            & ~ c0_1(a9)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a7)
            & c3_1(a7)
            & c1_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a6)
            & c3_1(a6)
            & c0_1(a6)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a4)
            & c2_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & ~ c1_1(a1)
            & c0_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp5
        | hskp24
        | hskp21 )
      & ( hskp27
        | hskp6
        | hskp12 )
      & ( hskp26
        | hskp27
        | hskp3 )
      & ( hskp13
        | hskp2
        | hskp3 )
      & ( hskp26
        | hskp30
        | hskp7 )
      & ( hskp24
        | hskp12
        | hskp31 )
      & ( hskp2
        | hskp12
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | ~ c1_1(X101) ) ) )
      & ( hskp9
        | hskp25
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c1_1(X100) ) ) )
      & ( hskp13
        | hskp15
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c0_1(X99) ) ) )
      & ( hskp31
        | hskp28
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) ) )
      & ( hskp24
        | hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( hskp26
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c1_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( hskp19
        | hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) ) )
      & ( hskp2
        | hskp0
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) ) )
      & ( hskp21
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c0_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp27
        | hskp18
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp9
        | hskp28
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp16
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp7
        | hskp28
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp17
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp26
        | hskp28
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp3
        | hskp25
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp12
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp24
        | hskp3
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp15
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp21
        | hskp8
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp3
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp9
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp2
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp6
        | hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp23
        | hskp30
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp22
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp21
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c3_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp8
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp4
        | hskp20
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp19
        | hskp11
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp18
        | hskp17
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp30
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c0_1(X54)
              | c3_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp16
        | hskp15
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp14
        | hskp3
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp13
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c2_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp8
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp12
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | hskp30
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp11
        | hskp30
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp5
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp5
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp7
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | ~ c1_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp9
        | hskp0
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp8
        | hskp7
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp28
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c2_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c0_1(X21)
              | c3_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c1_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp5
        | hskp29
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp4
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp3
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c3_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c2_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp2
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | c3_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp0
        | hskp28
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c1_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a76)
          & c1_1(a76)
          & c0_1(a76)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a20)
          & c2_1(a20)
          & c0_1(a20)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a8)
          & c2_1(a8)
          & c1_1(a8)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2)
          & c1_1(a2)
          & c0_1(a2)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a65)
          & ~ c1_1(a65)
          & c3_1(a65)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a57)
          & ~ c1_1(a57)
          & ~ c0_1(a57)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a54)
          & c3_1(a54)
          & c0_1(a54)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a52)
          & ~ c0_1(a52)
          & c3_1(a52)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a42)
          & ~ c1_1(a42)
          & c0_1(a42)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a40)
          & ~ c2_1(a40)
          & ~ c0_1(a40)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a39)
          & ~ c0_1(a39)
          & c2_1(a39)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a36)
          & c1_1(a36)
          & c0_1(a36)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a35)
          & ~ c0_1(a35)
          & c1_1(a35)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a33)
          & c2_1(a33)
          & c1_1(a33)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a32)
          & c2_1(a32)
          & c0_1(a32)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a30)
          & c3_1(a30)
          & c2_1(a30)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a29)
          & ~ c2_1(a29)
          & c1_1(a29)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a28)
          & c3_1(a28)
          & c2_1(a28)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a26)
          & ~ c0_1(a26)
          & c3_1(a26)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a24)
          & c3_1(a24)
          & c1_1(a24)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a21)
          & ~ c2_1(a21)
          & c0_1(a21)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a17)
          & ~ c0_1(a17)
          & c1_1(a17)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a15)
          & ~ c2_1(a15)
          & ~ c1_1(a15)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a13)
          & c2_1(a13)
          & c1_1(a13)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a12)
          & c1_1(a12)
          & c0_1(a12)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a10)
          & ~ c1_1(a10)
          & c2_1(a10)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a9)
          & ~ c1_1(a9)
          & ~ c0_1(a9)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c0_1(a7)
          & c3_1(a7)
          & c1_1(a7)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a6)
          & c3_1(a6)
          & c0_1(a6)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a5)
          & ~ c0_1(a5)
          & c2_1(a5)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a4)
          & c2_1(a4)
          & c0_1(a4)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1)
          & ~ c1_1(a1)
          & c0_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.XdCk6Bot2i/Vampire---4.8_25998',co1) ).

fof(f991,plain,
    ( ~ spl0_7
    | spl0_14 ),
    inference(avatar_split_clause,[],[f19,f294,f262]) ).

fof(f262,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f990,plain,
    ( ~ spl0_7
    | spl0_151 ),
    inference(avatar_split_clause,[],[f20,f987,f262]) ).

fof(f20,plain,
    ( c0_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_7
    | spl0_150 ),
    inference(avatar_split_clause,[],[f21,f982,f262]) ).

fof(f21,plain,
    ( c3_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f980,plain,
    ( ~ spl0_7
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f22,f977,f262]) ).

fof(f22,plain,
    ( ~ c2_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_5
    | spl0_142 ),
    inference(avatar_split_clause,[],[f32,f939,f253]) ).

fof(f253,plain,
    ( spl0_5
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f32,plain,
    ( c2_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_5
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f33,f934,f253]) ).

fof(f33,plain,
    ( ~ c1_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_5
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f34,f929,f253]) ).

fof(f34,plain,
    ( ~ c3_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( ~ spl0_11
    | spl0_139 ),
    inference(avatar_split_clause,[],[f36,f923,f280]) ).

fof(f280,plain,
    ( spl0_11
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f36,plain,
    ( c0_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f921,plain,
    ( ~ spl0_11
    | spl0_138 ),
    inference(avatar_split_clause,[],[f37,f918,f280]) ).

fof(f37,plain,
    ( c1_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f916,plain,
    ( ~ spl0_11
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f38,f913,f280]) ).

fof(f38,plain,
    ( ~ c3_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_38
    | spl0_136 ),
    inference(avatar_split_clause,[],[f40,f907,f397]) ).

fof(f397,plain,
    ( spl0_38
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f40,plain,
    ( c1_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_38
    | spl0_135 ),
    inference(avatar_split_clause,[],[f41,f902,f397]) ).

fof(f41,plain,
    ( c2_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_38
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f42,f897,f397]) ).

fof(f42,plain,
    ( ~ c0_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_17
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f44,f891,f306]) ).

fof(f306,plain,
    ( spl0_17
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f44,plain,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_17
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f45,f886,f306]) ).

fof(f45,plain,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_17
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f46,f881,f306]) ).

fof(f46,plain,
    ( ~ c3_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_52
    | spl0_127 ),
    inference(avatar_split_clause,[],[f52,f859,f456]) ).

fof(f456,plain,
    ( spl0_52
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f52,plain,
    ( c0_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_52
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f53,f854,f456]) ).

fof(f53,plain,
    ( ~ c2_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_52
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f54,f849,f456]) ).

fof(f54,plain,
    ( ~ c3_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f846,plain,
    ( ~ spl0_4
    | spl0_124 ),
    inference(avatar_split_clause,[],[f56,f843,f249]) ).

fof(f249,plain,
    ( spl0_4
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f56,plain,
    ( c1_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_4
    | spl0_123 ),
    inference(avatar_split_clause,[],[f57,f838,f249]) ).

fof(f57,plain,
    ( c3_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_4
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f58,f833,f249]) ).

fof(f58,plain,
    ( ~ c2_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f59,f294,f275]) ).

fof(f275,plain,
    ( spl0_10
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f59,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_19
    | spl0_115 ),
    inference(avatar_split_clause,[],[f68,f795,f314]) ).

fof(f314,plain,
    ( spl0_19
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f68,plain,
    ( c1_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_19
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f69,f790,f314]) ).

fof(f69,plain,
    ( ~ c2_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f788,plain,
    ( ~ spl0_19
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f70,f785,f314]) ).

fof(f70,plain,
    ( ~ c3_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_29
    | spl0_112 ),
    inference(avatar_split_clause,[],[f72,f779,f360]) ).

fof(f360,plain,
    ( spl0_29
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f72,plain,
    ( c2_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_29
    | spl0_111 ),
    inference(avatar_split_clause,[],[f73,f774,f360]) ).

fof(f73,plain,
    ( c3_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_29
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f74,f769,f360]) ).

fof(f74,plain,
    ( ~ c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( ~ spl0_24
    | spl0_103 ),
    inference(avatar_split_clause,[],[f84,f731,f337]) ).

fof(f337,plain,
    ( spl0_24
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f84,plain,
    ( c1_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f729,plain,
    ( ~ spl0_24
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f85,f726,f337]) ).

fof(f85,plain,
    ( ~ c0_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( ~ spl0_24
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f86,f721,f337]) ).

fof(f86,plain,
    ( ~ c3_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_1
    | spl0_97 ),
    inference(avatar_split_clause,[],[f92,f699,f236]) ).

fof(f236,plain,
    ( spl0_1
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f92,plain,
    ( c2_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f697,plain,
    ( ~ spl0_1
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f93,f694,f236]) ).

fof(f93,plain,
    ( ~ c0_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( ~ spl0_1
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f94,f689,f236]) ).

fof(f94,plain,
    ( ~ c3_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_2
    | spl0_88 ),
    inference(avatar_split_clause,[],[f104,f651,f240]) ).

fof(f240,plain,
    ( spl0_2
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f104,plain,
    ( c3_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_2
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f105,f646,f240]) ).

fof(f105,plain,
    ( ~ c0_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f644,plain,
    ( ~ spl0_2
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f641,f240]) ).

fof(f106,plain,
    ( ~ c2_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f638,plain,
    ( ~ spl0_16
    | spl0_85 ),
    inference(avatar_split_clause,[],[f108,f635,f302]) ).

fof(f302,plain,
    ( spl0_16
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f108,plain,
    ( c0_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_16
    | spl0_84 ),
    inference(avatar_split_clause,[],[f109,f630,f302]) ).

fof(f109,plain,
    ( c3_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_16
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f625,f302]) ).

fof(f110,plain,
    ( ~ c1_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_8
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f112,f619,f266]) ).

fof(f266,plain,
    ( spl0_8
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f112,plain,
    ( ~ c0_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl0_8
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f113,f614,f266]) ).

fof(f113,plain,
    ( ~ c1_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_8
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f114,f609,f266]) ).

fof(f114,plain,
    ( ~ c3_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_6
    | spl0_79 ),
    inference(avatar_split_clause,[],[f116,f603,f257]) ).

fof(f257,plain,
    ( spl0_6
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f116,plain,
    ( c3_1(a65)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_6
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f598,f257]) ).

fof(f117,plain,
    ( ~ c1_1(a65)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f596,plain,
    ( ~ spl0_6
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f118,f593,f257]) ).

fof(f118,plain,
    ( ~ c2_1(a65)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_20
    | spl0_76 ),
    inference(avatar_split_clause,[],[f120,f587,f319]) ).

fof(f319,plain,
    ( spl0_20
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f120,plain,
    ( c0_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_20
    | spl0_75 ),
    inference(avatar_split_clause,[],[f121,f582,f319]) ).

fof(f121,plain,
    ( c1_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f580,plain,
    ( ~ spl0_20
    | spl0_74 ),
    inference(avatar_split_clause,[],[f122,f577,f319]) ).

fof(f122,plain,
    ( c2_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_23
    | spl0_73 ),
    inference(avatar_split_clause,[],[f124,f571,f333]) ).

fof(f333,plain,
    ( spl0_23
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f124,plain,
    ( c1_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_23
    | spl0_72 ),
    inference(avatar_split_clause,[],[f125,f566,f333]) ).

fof(f125,plain,
    ( c2_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_23
    | spl0_71 ),
    inference(avatar_split_clause,[],[f126,f561,f333]) ).

fof(f126,plain,
    ( c3_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( ~ spl0_12
    | spl0_70 ),
    inference(avatar_split_clause,[],[f128,f555,f284]) ).

fof(f284,plain,
    ( spl0_12
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f128,plain,
    ( c0_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( ~ spl0_12
    | spl0_69 ),
    inference(avatar_split_clause,[],[f129,f550,f284]) ).

fof(f129,plain,
    ( c2_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( ~ spl0_12
    | spl0_68 ),
    inference(avatar_split_clause,[],[f130,f545,f284]) ).

fof(f130,plain,
    ( c3_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( ~ spl0_13
    | spl0_67 ),
    inference(avatar_split_clause,[],[f132,f539,f289]) ).

fof(f289,plain,
    ( spl0_13
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f132,plain,
    ( c0_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( ~ spl0_13
    | spl0_66 ),
    inference(avatar_split_clause,[],[f133,f534,f289]) ).

fof(f133,plain,
    ( c1_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f532,plain,
    ( ~ spl0_13
    | spl0_65 ),
    inference(avatar_split_clause,[],[f134,f529,f289]) ).

fof(f134,plain,
    ( c3_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_61
    | spl0_58
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f207,f467,f294,f493,f510]) ).

fof(f207,plain,
    ! [X90,X91,X89] :
      ( ~ c2_1(X89)
      | c3_1(X89)
      | c0_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X90,X91,X89] :
      ( ~ c2_1(X89)
      | c3_1(X89)
      | c0_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( spl0_60
    | ~ spl0_14
    | spl0_33
    | spl0_7 ),
    inference(avatar_split_clause,[],[f208,f262,f377,f294,f506]) ).

fof(f208,plain,
    ! [X88,X87] :
      ( hskp3
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X88,X87] :
      ( hskp3
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( spl0_58
    | ~ spl0_14
    | spl0_55
    | spl0_5 ),
    inference(avatar_split_clause,[],[f210,f253,f475,f294,f493]) ).

fof(f210,plain,
    ! [X82,X83] :
      ( hskp6
      | ~ c1_1(X82)
      | c3_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X82,X83] :
      ( hskp6
      | ~ c1_1(X82)
      | c3_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | ~ c1_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_56
    | spl0_53
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f213,f298,f294,f461,f480]) ).

fof(f213,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c2_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | c0_1(X73)
      | ~ c3_1(X74)
      | c2_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c2_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( spl0_56
    | ~ spl0_14
    | spl0_40
    | spl0_11 ),
    inference(avatar_split_clause,[],[f214,f280,f408,f294,f480]) ).

fof(f214,plain,
    ! [X70,X71] :
      ( hskp7
      | ~ c0_1(X70)
      | c3_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X70,X71] :
      ( hskp7
      | ~ c0_1(X70)
      | c3_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( ~ spl0_14
    | spl0_56
    | spl0_12
    | spl0_52 ),
    inference(avatar_split_clause,[],[f154,f456,f284,f480,f294]) ).

fof(f154,plain,
    ! [X63] :
      ( hskp11
      | hskp30
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( ~ spl0_14
    | spl0_55
    | spl0_12
    | spl0_38 ),
    inference(avatar_split_clause,[],[f155,f397,f284,f475,f294]) ).

fof(f155,plain,
    ! [X62] :
      ( hskp8
      | hskp30
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( ~ spl0_14
    | spl0_55
    | spl0_4 ),
    inference(avatar_split_clause,[],[f156,f249,f475,f294]) ).

fof(f156,plain,
    ! [X61] :
      ( hskp12
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_54
    | ~ spl0_14
    | spl0_36
    | spl0_38 ),
    inference(avatar_split_clause,[],[f218,f397,f390,f294,f467]) ).

fof(f218,plain,
    ! [X59,X60] :
      ( hskp8
      | ~ c3_1(X59)
      | ~ c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | c3_1(X60)
      | c0_1(X60) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X59,X60] :
      ( hskp8
      | ~ c3_1(X59)
      | ~ c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | c3_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_54
    | spl0_35
    | ~ spl0_14
    | spl0_46 ),
    inference(avatar_split_clause,[],[f219,f432,f294,f386,f467]) ).

fof(f219,plain,
    ! [X58,X56,X57] :
      ( ~ c1_1(X56)
      | ~ c0_1(X56)
      | c3_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | c3_1(X57)
      | c2_1(X57)
      | ~ c2_1(X58)
      | c3_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X58,X56,X57] :
      ( ~ c1_1(X56)
      | ~ c0_1(X56)
      | c3_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | c3_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | c3_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_19
    | spl0_29 ),
    inference(avatar_split_clause,[],[f161,f360,f314,f467,f294]) ).

fof(f161,plain,
    ! [X52] :
      ( hskp16
      | hskp15
      | ~ c2_1(X52)
      | c3_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_53
    | spl0_51
    | ~ spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f221,f408,f294,f453,f461]) ).

fof(f221,plain,
    ! [X50,X51,X49] :
      ( ~ c0_1(X49)
      | c3_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X50,X51,X49] :
      ( ~ c0_1(X49)
      | c3_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_53
    | ~ spl0_14
    | spl0_46
    | spl0_12 ),
    inference(avatar_split_clause,[],[f222,f284,f432,f294,f461]) ).

fof(f222,plain,
    ! [X48,X47] :
      ( hskp30
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X48,X47] :
      ( hskp30
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_14
    | spl0_51
    | spl0_52
    | spl0_24 ),
    inference(avatar_split_clause,[],[f165,f337,f456,f453,f294]) ).

fof(f165,plain,
    ! [X45] :
      ( hskp19
      | hskp11
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_45
    | ~ spl0_14
    | spl0_36
    | spl0_38 ),
    inference(avatar_split_clause,[],[f224,f397,f390,f294,f429]) ).

fof(f224,plain,
    ! [X40,X39] :
      ( hskp8
      | ~ c3_1(X39)
      | ~ c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0
      | c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X40,X39] :
      ( hskp8
      | ~ c3_1(X39)
      | ~ c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0
      | c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_45
    | ~ spl0_14
    | spl0_46
    | spl0_1 ),
    inference(avatar_split_clause,[],[f225,f236,f432,f294,f429]) ).

fof(f225,plain,
    ! [X38,X37] :
      ( hskp21
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | c3_1(X38)
      | c2_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X38,X37] :
      ( hskp21
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_39
    | ~ spl0_14
    | spl0_34
    | spl0_17 ),
    inference(avatar_split_clause,[],[f228,f306,f381,f294,f403]) ).

fof(f228,plain,
    ! [X29,X30] :
      ( hskp9
      | ~ c1_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X29,X30] :
      ( hskp9
      | ~ c1_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f405,plain,
    ( spl0_39
    | ~ spl0_14
    | spl0_15
    | spl0_7 ),
    inference(avatar_split_clause,[],[f229,f262,f298,f294,f403]) ).

fof(f229,plain,
    ! [X28,X27] :
      ( hskp3
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c1_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | c3_1(X28)
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X28,X27] :
      ( hskp3
      | ~ c3_1(X27)
      | ~ c2_1(X27)
      | ~ c1_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | c3_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( spl0_37
    | spl0_21
    | ~ spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f230,f311,f294,f324,f394]) ).

fof(f230,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f400,plain,
    ( ~ spl0_14
    | spl0_37
    | spl0_38
    | spl0_1 ),
    inference(avatar_split_clause,[],[f177,f236,f397,f394,f294]) ).

fof(f177,plain,
    ! [X23] :
      ( hskp21
      | hskp8
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f392,plain,
    ( spl0_36
    | ~ spl0_14
    | spl0_33
    | spl0_19 ),
    inference(avatar_split_clause,[],[f231,f314,f377,f294,f390]) ).

fof(f231,plain,
    ! [X21,X22] :
      ( hskp15
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X21,X22] :
      ( hskp15
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( spl0_34
    | ~ spl0_14
    | spl0_18
    | spl0_4 ),
    inference(avatar_split_clause,[],[f232,f249,f311,f294,f381]) ).

fof(f232,plain,
    ! [X18,X19] :
      ( hskp12
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | c3_1(X19)
      | c2_1(X19) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X18,X19] :
      ( hskp12
      | ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( ~ spl0_14
    | spl0_34
    | spl0_16
    | spl0_7 ),
    inference(avatar_split_clause,[],[f181,f262,f302,f381,f294]) ).

fof(f181,plain,
    ! [X17] :
      ( hskp3
      | hskp25
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f364,plain,
    ( ~ spl0_14
    | spl0_28
    | spl0_20
    | spl0_11 ),
    inference(avatar_split_clause,[],[f184,f280,f319,f357,f294]) ).

fof(f184,plain,
    ! [X13] :
      ( hskp7
      | hskp28
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( ~ spl0_14
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f185,f360,f357,f294]) ).

fof(f185,plain,
    ! [X12] :
      ( hskp16
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f346,plain,
    ( spl0_21
    | ~ spl0_14
    | spl0_18
    | spl0_1 ),
    inference(avatar_split_clause,[],[f234,f236,f311,f294,f324]) ).

fof(f234,plain,
    ! [X8,X9] :
      ( hskp21
      | ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X8,X9] :
      ( hskp21
      | ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f190,f337,f333,f324,f294]) ).

fof(f190,plain,
    ! [X6] :
      ( hskp19
      | hskp29
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f309,plain,
    ( ~ spl0_14
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f195,f306,f302,f298,f294]) ).

fof(f195,plain,
    ! [X1] :
      ( hskp9
      | hskp25
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( spl0_13
    | spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f240,f249,f289]) ).

fof(f197,plain,
    ( hskp24
    | hskp12
    | hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f278,plain,
    ( spl0_7
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f199,f275,f271,f262]) ).

fof(f199,plain,
    ( hskp13
    | hskp2
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f269,plain,
    ( spl0_7
    | spl0_6
    | spl0_8 ),
    inference(avatar_split_clause,[],[f200,f266,f257,f262]) ).

fof(f200,plain,
    ( hskp26
    | hskp27
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN465+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 17:28:12 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.XdCk6Bot2i/Vampire---4.8_25998
% 0.54/0.76  % (26176)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.76  % (26178)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.76  % (26171)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.76  % (26173)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (26174)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76  % (26175)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.76  % (26172)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.76  % (26177)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.77  % (26176)Instruction limit reached!
% 0.59/0.77  % (26176)------------------------------
% 0.59/0.77  % (26176)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (26176)Termination reason: Unknown
% 0.59/0.77  % (26176)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (26176)Memory used [KB]: 2232
% 0.59/0.77  % (26176)Time elapsed: 0.016 s
% 0.59/0.77  % (26176)Instructions burned: 45 (million)
% 0.59/0.77  % (26176)------------------------------
% 0.59/0.77  % (26176)------------------------------
% 0.59/0.78  % (26182)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.78  % (26174)Instruction limit reached!
% 0.59/0.78  % (26174)------------------------------
% 0.59/0.78  % (26174)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (26174)Termination reason: Unknown
% 0.59/0.78  % (26174)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (26174)Memory used [KB]: 2229
% 0.59/0.78  % (26174)Time elapsed: 0.020 s
% 0.59/0.78  % (26174)Instructions burned: 33 (million)
% 0.59/0.78  % (26174)------------------------------
% 0.59/0.78  % (26174)------------------------------
% 0.59/0.78  % (26171)Instruction limit reached!
% 0.59/0.78  % (26171)------------------------------
% 0.59/0.78  % (26171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (26171)Termination reason: Unknown
% 0.59/0.78  % (26171)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (26171)Memory used [KB]: 2087
% 0.59/0.78  % (26171)Time elapsed: 0.021 s
% 0.59/0.78  % (26171)Instructions burned: 34 (million)
% 0.59/0.78  % (26171)------------------------------
% 0.59/0.78  % (26171)------------------------------
% 0.59/0.78  % (26175)Instruction limit reached!
% 0.59/0.78  % (26175)------------------------------
% 0.59/0.78  % (26175)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (26175)Termination reason: Unknown
% 0.59/0.78  % (26175)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (26175)Memory used [KB]: 2119
% 0.59/0.78  % (26178)Instruction limit reached!
% 0.59/0.78  % (26178)------------------------------
% 0.59/0.78  % (26178)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (26175)Time elapsed: 0.021 s
% 0.59/0.78  % (26175)Instructions burned: 34 (million)
% 0.59/0.78  % (26175)------------------------------
% 0.59/0.78  % (26175)------------------------------
% 0.59/0.78  % (26178)Termination reason: Unknown
% 0.59/0.78  % (26178)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (26178)Memory used [KB]: 2456
% 0.59/0.78  % (26178)Time elapsed: 0.022 s
% 0.59/0.78  % (26178)Instructions burned: 56 (million)
% 0.59/0.78  % (26178)------------------------------
% 0.59/0.78  % (26178)------------------------------
% 0.59/0.78  % (26188)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.78  % (26185)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.59/0.78  % (26187)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.78  % (26189)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.79  % (26172)First to succeed.
% 0.59/0.79  % (26182)Instruction limit reached!
% 0.59/0.79  % (26182)------------------------------
% 0.59/0.79  % (26182)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (26182)Termination reason: Unknown
% 0.59/0.79  % (26182)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (26182)Memory used [KB]: 2583
% 0.59/0.79  % (26182)Time elapsed: 0.018 s
% 0.59/0.79  % (26182)Instructions burned: 56 (million)
% 0.59/0.79  % (26182)------------------------------
% 0.59/0.79  % (26182)------------------------------
% 0.59/0.80  % (26196)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.80  % (26172)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Theorem for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (26172)------------------------------
% 0.59/0.80  % (26172)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (26172)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (26172)Memory used [KB]: 1963
% 0.59/0.80  % (26172)Time elapsed: 0.037 s
% 0.59/0.80  % (26172)Instructions burned: 66 (million)
% 0.59/0.80  % (26172)------------------------------
% 0.59/0.80  % (26172)------------------------------
% 0.59/0.80  % (26161)Success in time 0.423 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------