TSTP Solution File: SYN477+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN477+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:21 EDT 2022

% Result   : Theorem 1.82s 0.61s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  141
% Syntax   : Number of formulae    :  562 (   1 unt;   0 def)
%            Number of atoms       : 5785 (   0 equ)
%            Maximal formula atoms :  683 (  10 avg)
%            Number of connectives : 7715 (2492   ~;3525   |;1122   &)
%                                         ( 140 <=>; 436  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  110 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  175 ( 174 usr; 171 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  758 ( 758   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2057,plain,
    $false,
    inference(avatar_sat_refutation,[],[f203,f218,f227,f236,f259,f279,f284,f293,f302,f311,f316,f334,f343,f357,f366,f372,f377,f383,f388,f393,f403,f415,f424,f434,f440,f452,f461,f479,f489,f502,f507,f522,f527,f536,f541,f551,f556,f563,f568,f573,f578,f583,f584,f599,f604,f609,f614,f629,f639,f645,f651,f656,f657,f659,f660,f665,f681,f686,f692,f705,f710,f711,f716,f717,f722,f723,f724,f730,f741,f745,f746,f752,f753,f763,f772,f777,f779,f785,f792,f798,f805,f806,f815,f820,f822,f823,f826,f831,f836,f841,f847,f852,f857,f862,f872,f873,f884,f889,f892,f903,f905,f906,f911,f917,f922,f928,f935,f936,f946,f954,f983,f993,f1023,f1035,f1043,f1052,f1081,f1097,f1103,f1108,f1129,f1139,f1161,f1162,f1176,f1214,f1236,f1243,f1256,f1257,f1258,f1261,f1284,f1302,f1303,f1327,f1328,f1330,f1358,f1375,f1413,f1414,f1547,f1572,f1573,f1575,f1580,f1582,f1590,f1619,f1635,f1654,f1656,f1657,f1679,f1683,f1695,f1755,f1804,f1809,f1826,f1861,f1870,f1871,f1890,f1891,f1962,f2000,f2001,f2002,f2024,f2027,f2051,f2052]) ).

fof(f2052,plain,
    ( ~ spl0_145
    | spl0_162
    | ~ spl0_74
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2044,f636,f520,f1105,f919]) ).

fof(f919,plain,
    ( spl0_145
  <=> c0_1(a1233) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1105,plain,
    ( spl0_162
  <=> c3_1(a1233) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f520,plain,
    ( spl0_74
  <=> ! [X32] :
        ( ~ c1_1(X32)
        | c3_1(X32)
        | ~ c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f636,plain,
    ( spl0_98
  <=> c1_1(a1233) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2044,plain,
    ( c3_1(a1233)
    | ~ c0_1(a1233)
    | ~ spl0_74
    | ~ spl0_98 ),
    inference(resolution,[],[f521,f638]) ).

fof(f638,plain,
    ( c1_1(a1233)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f521,plain,
    ( ! [X32] :
        ( ~ c1_1(X32)
        | ~ c0_1(X32)
        | c3_1(X32) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f2051,plain,
    ( ~ spl0_166
    | spl0_43
    | ~ spl0_74
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2045,f538,f520,f385,f1219]) ).

fof(f1219,plain,
    ( spl0_166
  <=> c0_1(a1247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f385,plain,
    ( spl0_43
  <=> c3_1(a1247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f538,plain,
    ( spl0_78
  <=> c1_1(a1247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2045,plain,
    ( c3_1(a1247)
    | ~ c0_1(a1247)
    | ~ spl0_74
    | ~ spl0_78 ),
    inference(resolution,[],[f521,f540]) ).

fof(f540,plain,
    ( c1_1(a1247)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f2027,plain,
    ( ~ spl0_144
    | spl0_157
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1933,f454,f380,f1027,f914]) ).

fof(f914,plain,
    ( spl0_144
  <=> c2_1(a1219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1027,plain,
    ( spl0_157
  <=> c3_1(a1219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f380,plain,
    ( spl0_42
  <=> c1_1(a1219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f454,plain,
    ( spl0_58
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1933,plain,
    ( c3_1(a1219)
    | ~ c2_1(a1219)
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(resolution,[],[f455,f382]) ).

fof(f382,plain,
    ( c1_1(a1219)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f455,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c2_1(X3)
        | c3_1(X3) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f2024,plain,
    ( ~ spl0_144
    | spl0_37
    | ~ spl0_5
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2015,f1027,f213,f354,f914]) ).

fof(f354,plain,
    ( spl0_37
  <=> c0_1(a1219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f213,plain,
    ( spl0_5
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | ~ c2_1(X7)
        | c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2015,plain,
    ( c0_1(a1219)
    | ~ c2_1(a1219)
    | ~ spl0_5
    | ~ spl0_157 ),
    inference(resolution,[],[f214,f1029]) ).

fof(f1029,plain,
    ( c3_1(a1219)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f214,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c0_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f2002,plain,
    ( spl0_91
    | spl0_178
    | ~ spl0_72
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1987,f524,f514,f1806,f601]) ).

fof(f601,plain,
    ( spl0_91
  <=> c1_1(a1236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1806,plain,
    ( spl0_178
  <=> c2_1(a1236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f514,plain,
    ( spl0_72
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33)
        | c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f524,plain,
    ( spl0_75
  <=> c0_1(a1236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1987,plain,
    ( c2_1(a1236)
    | c1_1(a1236)
    | ~ spl0_72
    | ~ spl0_75 ),
    inference(resolution,[],[f515,f526]) ).

fof(f526,plain,
    ( c0_1(a1236)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f515,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c2_1(X33)
        | c1_1(X33) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f2001,plain,
    ( spl0_135
    | spl0_1
    | ~ spl0_72
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1982,f1544,f514,f196,f859]) ).

fof(f859,plain,
    ( spl0_135
  <=> c2_1(a1216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f196,plain,
    ( spl0_1
  <=> c1_1(a1216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1544,plain,
    ( spl0_173
  <=> c0_1(a1216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1982,plain,
    ( c1_1(a1216)
    | c2_1(a1216)
    | ~ spl0_72
    | ~ spl0_173 ),
    inference(resolution,[],[f515,f1546]) ).

fof(f1546,plain,
    ( c0_1(a1216)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f2000,plain,
    ( spl0_159
    | spl0_124
    | ~ spl0_72
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1984,f828,f514,f789,f1063]) ).

fof(f1063,plain,
    ( spl0_159
  <=> c1_1(a1228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f789,plain,
    ( spl0_124
  <=> c2_1(a1228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f828,plain,
    ( spl0_129
  <=> c0_1(a1228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1984,plain,
    ( c2_1(a1228)
    | c1_1(a1228)
    | ~ spl0_72
    | ~ spl0_129 ),
    inference(resolution,[],[f515,f830]) ).

fof(f830,plain,
    ( c0_1(a1228)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f1962,plain,
    ( spl0_89
    | ~ spl0_50
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1961,f463,f417,f592]) ).

fof(f592,plain,
    ( spl0_89
  <=> ! [X97] :
        ( c2_1(X97)
        | c3_1(X97)
        | c0_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f417,plain,
    ( spl0_50
  <=> ! [X58] :
        ( c0_1(X58)
        | c2_1(X58)
        | c1_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f463,plain,
    ( spl0_60
  <=> ! [X14] :
        ( c0_1(X14)
        | c3_1(X14)
        | ~ c1_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1961,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_50
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f1945]) ).

fof(f1945,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_50
    | ~ spl0_60 ),
    inference(resolution,[],[f464,f418]) ).

fof(f418,plain,
    ( ! [X58] :
        ( c1_1(X58)
        | c2_1(X58)
        | c0_1(X58) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f464,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | c0_1(X14)
        | c3_1(X14) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f1891,plain,
    ( spl0_146
    | ~ spl0_98
    | ~ spl0_49
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1886,f1105,f413,f636,f925]) ).

fof(f925,plain,
    ( spl0_146
  <=> c2_1(a1233) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f413,plain,
    ( spl0_49
  <=> ! [X96] :
        ( ~ c3_1(X96)
        | c2_1(X96)
        | ~ c1_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1886,plain,
    ( ~ c1_1(a1233)
    | c2_1(a1233)
    | ~ spl0_49
    | ~ spl0_162 ),
    inference(resolution,[],[f414,f1107]) ).

fof(f1107,plain,
    ( c3_1(a1233)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f414,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c2_1(X96)
        | ~ c1_1(X96) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1890,plain,
    ( ~ spl0_159
    | spl0_124
    | ~ spl0_49
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1885,f738,f413,f789,f1063]) ).

fof(f738,plain,
    ( spl0_116
  <=> c3_1(a1228) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1885,plain,
    ( c2_1(a1228)
    | ~ c1_1(a1228)
    | ~ spl0_49
    | ~ spl0_116 ),
    inference(resolution,[],[f414,f740]) ).

fof(f740,plain,
    ( c3_1(a1228)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f1871,plain,
    ( spl0_176
    | ~ spl0_86
    | ~ spl0_5
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1869,f683,f213,f575,f1616]) ).

fof(f1616,plain,
    ( spl0_176
  <=> c0_1(a1213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f575,plain,
    ( spl0_86
  <=> c2_1(a1213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f683,plain,
    ( spl0_107
  <=> c3_1(a1213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1869,plain,
    ( ~ c2_1(a1213)
    | c0_1(a1213)
    | ~ spl0_5
    | ~ spl0_107 ),
    inference(resolution,[],[f685,f214]) ).

fof(f685,plain,
    ( c3_1(a1213)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1870,plain,
    ( ~ spl0_86
    | ~ spl0_96
    | ~ spl0_61
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1867,f683,f467,f626,f575]) ).

fof(f626,plain,
    ( spl0_96
  <=> c1_1(a1213) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f467,plain,
    ( spl0_61
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | ~ c2_1(X15)
        | ~ c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1867,plain,
    ( ~ c1_1(a1213)
    | ~ c2_1(a1213)
    | ~ spl0_61
    | ~ spl0_107 ),
    inference(resolution,[],[f685,f468]) ).

fof(f468,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | ~ c2_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1861,plain,
    ( spl0_166
    | spl0_23
    | spl0_43
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1850,f592,f385,f290,f1219]) ).

fof(f290,plain,
    ( spl0_23
  <=> c2_1(a1247) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1850,plain,
    ( c2_1(a1247)
    | c0_1(a1247)
    | spl0_43
    | ~ spl0_89 ),
    inference(resolution,[],[f593,f387]) ).

fof(f387,plain,
    ( ~ c3_1(a1247)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f593,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | c0_1(X97)
        | c2_1(X97) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f1826,plain,
    ( spl0_43
    | spl0_23
    | ~ spl0_73
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1819,f538,f517,f290,f385]) ).

fof(f517,plain,
    ( spl0_73
  <=> ! [X31] :
        ( ~ c1_1(X31)
        | c2_1(X31)
        | c3_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1819,plain,
    ( c2_1(a1247)
    | c3_1(a1247)
    | ~ spl0_73
    | ~ spl0_78 ),
    inference(resolution,[],[f518,f540]) ).

fof(f518,plain,
    ( ! [X31] :
        ( ~ c1_1(X31)
        | c2_1(X31)
        | c3_1(X31) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1809,plain,
    ( spl0_52
    | ~ spl0_178
    | ~ spl0_68
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1797,f524,f497,f1806,f427]) ).

fof(f427,plain,
    ( spl0_52
  <=> c3_1(a1236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f497,plain,
    ( spl0_68
  <=> ! [X68] :
        ( ~ c0_1(X68)
        | ~ c2_1(X68)
        | c3_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1797,plain,
    ( ~ c2_1(a1236)
    | c3_1(a1236)
    | ~ spl0_68
    | ~ spl0_75 ),
    inference(resolution,[],[f498,f526]) ).

fof(f498,plain,
    ( ! [X68] :
        ( ~ c0_1(X68)
        | ~ c2_1(X68)
        | c3_1(X68) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1804,plain,
    ( spl0_59
    | ~ spl0_158
    | ~ spl0_68
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1790,f689,f497,f1040,f458]) ).

fof(f458,plain,
    ( spl0_59
  <=> c3_1(a1210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1040,plain,
    ( spl0_158
  <=> c2_1(a1210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f689,plain,
    ( spl0_108
  <=> c0_1(a1210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1790,plain,
    ( ~ c2_1(a1210)
    | c3_1(a1210)
    | ~ spl0_68
    | ~ spl0_108 ),
    inference(resolution,[],[f498,f691]) ).

fof(f691,plain,
    ( c0_1(a1210)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f1755,plain,
    ( spl0_70
    | spl0_143
    | ~ spl0_50
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1743,f1238,f417,f908,f504]) ).

fof(f504,plain,
    ( spl0_70
  <=> c2_1(a1232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f908,plain,
    ( spl0_143
  <=> c0_1(a1232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1238,plain,
    ( spl0_167
  <=> c1_1(a1232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1743,plain,
    ( c0_1(a1232)
    | c2_1(a1232)
    | ~ spl0_50
    | spl0_167 ),
    inference(resolution,[],[f418,f1239]) ).

fof(f1239,plain,
    ( ~ c1_1(a1232)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f1695,plain,
    ( ~ spl0_33
    | spl0_164
    | ~ spl0_19
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1693,f881,f273,f1180,f336]) ).

fof(f336,plain,
    ( spl0_33
  <=> c0_1(a1214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1180,plain,
    ( spl0_164
  <=> c2_1(a1214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f273,plain,
    ( spl0_19
  <=> ! [X20] :
        ( c2_1(X20)
        | ~ c1_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f881,plain,
    ( spl0_139
  <=> c1_1(a1214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1693,plain,
    ( c2_1(a1214)
    | ~ c0_1(a1214)
    | ~ spl0_19
    | ~ spl0_139 ),
    inference(resolution,[],[f883,f274]) ).

fof(f274,plain,
    ( ! [X20] :
        ( ~ c1_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f883,plain,
    ( c1_1(a1214)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f1683,plain,
    ( ~ spl0_163
    | spl0_41
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1681,f273,f220,f374,f1158]) ).

fof(f1158,plain,
    ( spl0_163
  <=> c0_1(a1224) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f374,plain,
    ( spl0_41
  <=> c2_1(a1224) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f220,plain,
    ( spl0_7
  <=> c1_1(a1224) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1681,plain,
    ( c2_1(a1224)
    | ~ c0_1(a1224)
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(resolution,[],[f222,f274]) ).

fof(f222,plain,
    ( c1_1(a1224)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f1679,plain,
    ( ~ spl0_145
    | spl0_146
    | ~ spl0_19
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1673,f636,f273,f925,f919]) ).

fof(f1673,plain,
    ( c2_1(a1233)
    | ~ c0_1(a1233)
    | ~ spl0_19
    | ~ spl0_98 ),
    inference(resolution,[],[f274,f638]) ).

fof(f1657,plain,
    ( ~ spl0_164
    | ~ spl0_33
    | ~ spl0_18
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1652,f881,f270,f336,f1180]) ).

fof(f270,plain,
    ( spl0_18
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | ~ c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1652,plain,
    ( ~ c0_1(a1214)
    | ~ c2_1(a1214)
    | ~ spl0_18
    | ~ spl0_139 ),
    inference(resolution,[],[f271,f883]) ).

fof(f271,plain,
    ( ! [X19] :
        ( ~ c1_1(X19)
        | ~ c0_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f1656,plain,
    ( ~ spl0_86
    | ~ spl0_176
    | ~ spl0_18
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1651,f626,f270,f1616,f575]) ).

fof(f1651,plain,
    ( ~ c0_1(a1213)
    | ~ c2_1(a1213)
    | ~ spl0_18
    | ~ spl0_96 ),
    inference(resolution,[],[f271,f628]) ).

fof(f628,plain,
    ( c1_1(a1213)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1654,plain,
    ( ~ spl0_14
    | ~ spl0_125
    | ~ spl0_18
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1650,f1298,f270,f795,f252]) ).

fof(f252,plain,
    ( spl0_14
  <=> c0_1(a1204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f795,plain,
    ( spl0_125
  <=> c2_1(a1204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1298,plain,
    ( spl0_169
  <=> c1_1(a1204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1650,plain,
    ( ~ c2_1(a1204)
    | ~ c0_1(a1204)
    | ~ spl0_18
    | ~ spl0_169 ),
    inference(resolution,[],[f271,f1300]) ).

fof(f1300,plain,
    ( c1_1(a1204)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1635,plain,
    ( spl0_92
    | spl0_128
    | ~ spl0_69
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1634,f1577,f500,f817,f606]) ).

fof(f606,plain,
    ( spl0_92
  <=> c0_1(a1217) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f817,plain,
    ( spl0_128
  <=> c3_1(a1217) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f500,plain,
    ( spl0_69
  <=> ! [X69] :
        ( c3_1(X69)
        | c0_1(X69)
        | ~ c2_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1577,plain,
    ( spl0_174
  <=> c2_1(a1217) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1634,plain,
    ( c3_1(a1217)
    | c0_1(a1217)
    | ~ spl0_69
    | ~ spl0_174 ),
    inference(resolution,[],[f1579,f501]) ).

fof(f501,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1579,plain,
    ( c2_1(a1217)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f1619,plain,
    ( ~ spl0_96
    | spl0_176
    | ~ spl0_6
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1613,f683,f216,f1616,f626]) ).

fof(f216,plain,
    ( spl0_6
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | ~ c3_1(X8)
        | c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1613,plain,
    ( c0_1(a1213)
    | ~ c1_1(a1213)
    | ~ spl0_6
    | ~ spl0_107 ),
    inference(resolution,[],[f685,f217]) ).

fof(f217,plain,
    ( ! [X8] :
        ( ~ c3_1(X8)
        | ~ c1_1(X8)
        | c0_1(X8) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f1590,plain,
    ( spl0_44
    | spl0_150
    | ~ spl0_25
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1458,f500,f299,f951,f390]) ).

fof(f390,plain,
    ( spl0_44
  <=> c3_1(a1215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f951,plain,
    ( spl0_150
  <=> c0_1(a1215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f299,plain,
    ( spl0_25
  <=> c2_1(a1215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1458,plain,
    ( c0_1(a1215)
    | c3_1(a1215)
    | ~ spl0_25
    | ~ spl0_69 ),
    inference(resolution,[],[f501,f301]) ).

fof(f301,plain,
    ( c2_1(a1215)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f1582,plain,
    ( spl0_169
    | ~ spl0_14
    | ~ spl0_64
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1483,f486,f477,f252,f1298]) ).

fof(f477,plain,
    ( spl0_64
  <=> ! [X10] :
        ( ~ c3_1(X10)
        | ~ c0_1(X10)
        | c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f486,plain,
    ( spl0_66
  <=> c3_1(a1204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1483,plain,
    ( ~ c0_1(a1204)
    | c1_1(a1204)
    | ~ spl0_64
    | ~ spl0_66 ),
    inference(resolution,[],[f488,f478]) ).

fof(f478,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | ~ c0_1(X10)
        | c1_1(X10) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f488,plain,
    ( c3_1(a1204)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1580,plain,
    ( spl0_174
    | spl0_92
    | ~ spl0_89
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1526,f817,f592,f606,f1577]) ).

fof(f1526,plain,
    ( c0_1(a1217)
    | c2_1(a1217)
    | ~ spl0_89
    | spl0_128 ),
    inference(resolution,[],[f593,f819]) ).

fof(f819,plain,
    ( ~ c3_1(a1217)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f1575,plain,
    ( spl0_50
    | ~ spl0_57
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1539,f592,f450,f417]) ).

fof(f450,plain,
    ( spl0_57
  <=> ! [X79] :
        ( c1_1(X79)
        | c2_1(X79)
        | ~ c3_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1539,plain,
    ( ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c1_1(X3) )
    | ~ spl0_57
    | ~ spl0_89 ),
    inference(duplicate_literal_removal,[],[f1516]) ).

fof(f1516,plain,
    ( ! [X3] :
        ( c2_1(X3)
        | c0_1(X3)
        | c1_1(X3)
        | c2_1(X3) )
    | ~ spl0_57
    | ~ spl0_89 ),
    inference(resolution,[],[f593,f451]) ).

fof(f451,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | c1_1(X79)
        | c2_1(X79) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f1573,plain,
    ( spl0_76
    | spl0_134
    | ~ spl0_89
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1536,f943,f592,f854,f529]) ).

fof(f529,plain,
    ( spl0_76
  <=> c2_1(a1261) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f854,plain,
    ( spl0_134
  <=> c0_1(a1261) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f943,plain,
    ( spl0_149
  <=> c3_1(a1261) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1536,plain,
    ( c0_1(a1261)
    | c2_1(a1261)
    | ~ spl0_89
    | spl0_149 ),
    inference(resolution,[],[f593,f945]) ).

fof(f945,plain,
    ( ~ c3_1(a1261)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f1572,plain,
    ( spl0_132
    | spl0_106
    | ~ spl0_89
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1523,f990,f592,f678,f844]) ).

fof(f844,plain,
    ( spl0_132
  <=> c2_1(a1211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f678,plain,
    ( spl0_106
  <=> c0_1(a1211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f990,plain,
    ( spl0_154
  <=> c3_1(a1211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1523,plain,
    ( c0_1(a1211)
    | c2_1(a1211)
    | ~ spl0_89
    | spl0_154 ),
    inference(resolution,[],[f593,f991]) ).

fof(f991,plain,
    ( ~ c3_1(a1211)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1547,plain,
    ( spl0_135
    | spl0_173
    | ~ spl0_89
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1525,f869,f592,f1544,f859]) ).

fof(f869,plain,
    ( spl0_137
  <=> c3_1(a1216) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1525,plain,
    ( c0_1(a1216)
    | c2_1(a1216)
    | ~ spl0_89
    | spl0_137 ),
    inference(resolution,[],[f593,f871]) ).

fof(f871,plain,
    ( ~ c3_1(a1216)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f1414,plain,
    ( ~ spl0_158
    | spl0_59
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1403,f838,f454,f458,f1040]) ).

fof(f838,plain,
    ( spl0_131
  <=> c1_1(a1210) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1403,plain,
    ( c3_1(a1210)
    | ~ c2_1(a1210)
    | ~ spl0_58
    | ~ spl0_131 ),
    inference(resolution,[],[f455,f840]) ).

fof(f840,plain,
    ( c1_1(a1210)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f1413,plain,
    ( spl0_44
    | ~ spl0_25
    | ~ spl0_28
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1405,f454,f313,f299,f390]) ).

fof(f313,plain,
    ( spl0_28
  <=> c1_1(a1215) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1405,plain,
    ( ~ c2_1(a1215)
    | c3_1(a1215)
    | ~ spl0_28
    | ~ spl0_58 ),
    inference(resolution,[],[f455,f315]) ).

fof(f315,plain,
    ( c1_1(a1215)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1375,plain,
    ( spl0_99
    | spl0_121
    | ~ spl0_31
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1365,f553,f327,f769,f642]) ).

fof(f642,plain,
    ( spl0_99
  <=> c1_1(a1223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f769,plain,
    ( spl0_121
  <=> c3_1(a1223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f327,plain,
    ( spl0_31
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | c3_1(X65)
        | c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f553,plain,
    ( spl0_81
  <=> c2_1(a1223) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1365,plain,
    ( c3_1(a1223)
    | c1_1(a1223)
    | ~ spl0_31
    | ~ spl0_81 ),
    inference(resolution,[],[f328,f555]) ).

fof(f555,plain,
    ( c2_1(a1223)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f328,plain,
    ( ! [X65] :
        ( ~ c2_1(X65)
        | c1_1(X65)
        | c3_1(X65) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f1358,plain,
    ( spl0_23
    | ~ spl0_166
    | ~ spl0_19
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1350,f538,f273,f1219,f290]) ).

fof(f1350,plain,
    ( ~ c0_1(a1247)
    | c2_1(a1247)
    | ~ spl0_19
    | ~ spl0_78 ),
    inference(resolution,[],[f274,f540]) ).

fof(f1330,plain,
    ( ~ spl0_167
    | spl0_70
    | ~ spl0_49
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1321,f653,f413,f504,f1238]) ).

fof(f653,plain,
    ( spl0_101
  <=> c3_1(a1232) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1321,plain,
    ( c2_1(a1232)
    | ~ c1_1(a1232)
    | ~ spl0_49
    | ~ spl0_101 ),
    inference(resolution,[],[f414,f655]) ).

fof(f655,plain,
    ( c3_1(a1232)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1328,plain,
    ( spl0_41
    | ~ spl0_7
    | ~ spl0_49
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1320,f648,f413,f220,f374]) ).

fof(f648,plain,
    ( spl0_100
  <=> c3_1(a1224) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1320,plain,
    ( ~ c1_1(a1224)
    | c2_1(a1224)
    | ~ spl0_49
    | ~ spl0_100 ),
    inference(resolution,[],[f414,f650]) ).

fof(f650,plain,
    ( c3_1(a1224)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f1327,plain,
    ( ~ spl0_113
    | spl0_132
    | ~ spl0_49
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1319,f990,f413,f844,f719]) ).

fof(f719,plain,
    ( spl0_113
  <=> c1_1(a1211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1319,plain,
    ( c2_1(a1211)
    | ~ c1_1(a1211)
    | ~ spl0_49
    | ~ spl0_154 ),
    inference(resolution,[],[f414,f992]) ).

fof(f992,plain,
    ( c3_1(a1211)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1303,plain,
    ( ~ spl0_125
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1296,f486,f470,f252,f795]) ).

fof(f470,plain,
    ( spl0_62
  <=> ! [X16] :
        ( ~ c3_1(X16)
        | ~ c2_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1296,plain,
    ( ~ c0_1(a1204)
    | ~ c2_1(a1204)
    | ~ spl0_62
    | ~ spl0_66 ),
    inference(resolution,[],[f488,f471]) ).

fof(f471,plain,
    ( ! [X16] :
        ( ~ c3_1(X16)
        | ~ c0_1(X16)
        | ~ c2_1(X16) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f1302,plain,
    ( ~ spl0_169
    | ~ spl0_125
    | ~ spl0_61
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1294,f486,f467,f795,f1298]) ).

fof(f1294,plain,
    ( ~ c2_1(a1204)
    | ~ c1_1(a1204)
    | ~ spl0_61
    | ~ spl0_66 ),
    inference(resolution,[],[f488,f468]) ).

fof(f1284,plain,
    ( spl0_87
    | ~ spl0_45
    | ~ spl0_68
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1274,f570,f497,f396,f580]) ).

fof(f580,plain,
    ( spl0_87
  <=> c3_1(a1206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f396,plain,
    ( spl0_45
  <=> c2_1(a1206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f570,plain,
    ( spl0_85
  <=> c0_1(a1206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1274,plain,
    ( ~ c2_1(a1206)
    | c3_1(a1206)
    | ~ spl0_68
    | ~ spl0_85 ),
    inference(resolution,[],[f498,f572]) ).

fof(f572,plain,
    ( c0_1(a1206)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f1261,plain,
    ( spl0_127
    | spl0_133
    | ~ spl0_69
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1260,f702,f500,f849,f812]) ).

fof(f812,plain,
    ( spl0_127
  <=> c3_1(a1212) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f849,plain,
    ( spl0_133
  <=> c0_1(a1212) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f702,plain,
    ( spl0_110
  <=> c2_1(a1212) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1260,plain,
    ( c0_1(a1212)
    | c3_1(a1212)
    | ~ spl0_69
    | ~ spl0_110 ),
    inference(resolution,[],[f704,f501]) ).

fof(f704,plain,
    ( c2_1(a1212)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1258,plain,
    ( ~ spl0_98
    | ~ spl0_145
    | ~ spl0_83
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1250,f1105,f561,f919,f636]) ).

fof(f561,plain,
    ( spl0_83
  <=> ! [X71] :
        ( ~ c1_1(X71)
        | ~ c0_1(X71)
        | ~ c3_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1250,plain,
    ( ~ c0_1(a1233)
    | ~ c1_1(a1233)
    | ~ spl0_83
    | ~ spl0_162 ),
    inference(resolution,[],[f562,f1107]) ).

fof(f562,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | ~ c0_1(X71)
        | ~ c1_1(X71) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f1257,plain,
    ( ~ spl0_139
    | ~ spl0_33
    | ~ spl0_83
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1255,f727,f561,f336,f881]) ).

fof(f727,plain,
    ( spl0_114
  <=> c3_1(a1214) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1255,plain,
    ( ~ c0_1(a1214)
    | ~ c1_1(a1214)
    | ~ spl0_83
    | ~ spl0_114 ),
    inference(resolution,[],[f562,f729]) ).

fof(f729,plain,
    ( c3_1(a1214)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1256,plain,
    ( ~ spl0_7
    | ~ spl0_163
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1247,f648,f561,f1158,f220]) ).

fof(f1247,plain,
    ( ~ c0_1(a1224)
    | ~ c1_1(a1224)
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(resolution,[],[f562,f650]) ).

fof(f1243,plain,
    ( spl0_112
    | spl0_117
    | ~ spl0_38
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1233,f558,f359,f749,f713]) ).

fof(f713,plain,
    ( spl0_112
  <=> c1_1(a1257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f749,plain,
    ( spl0_117
  <=> c0_1(a1257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f359,plain,
    ( spl0_38
  <=> c3_1(a1257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f558,plain,
    ( spl0_82
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c3_1(X73)
        | c0_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1233,plain,
    ( c0_1(a1257)
    | c1_1(a1257)
    | ~ spl0_38
    | ~ spl0_82 ),
    inference(resolution,[],[f559,f361]) ).

fof(f361,plain,
    ( c3_1(a1257)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f559,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c1_1(X73)
        | c0_1(X73) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f1236,plain,
    ( spl0_130
    | spl0_93
    | ~ spl0_82
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1224,f1078,f558,f611,f833]) ).

fof(f833,plain,
    ( spl0_130
  <=> c1_1(a1205) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f611,plain,
    ( spl0_93
  <=> c0_1(a1205) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1078,plain,
    ( spl0_160
  <=> c3_1(a1205) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1224,plain,
    ( c0_1(a1205)
    | c1_1(a1205)
    | ~ spl0_82
    | ~ spl0_160 ),
    inference(resolution,[],[f559,f1080]) ).

fof(f1080,plain,
    ( c3_1(a1205)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1214,plain,
    ( spl0_130
    | ~ spl0_119
    | ~ spl0_80
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1196,f1078,f549,f760,f833]) ).

fof(f760,plain,
    ( spl0_119
  <=> c2_1(a1205) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f549,plain,
    ( spl0_80
  <=> ! [X47] :
        ( ~ c2_1(X47)
        | c1_1(X47)
        | ~ c3_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1196,plain,
    ( ~ c2_1(a1205)
    | c1_1(a1205)
    | ~ spl0_80
    | ~ spl0_160 ),
    inference(resolution,[],[f550,f1080]) ).

fof(f550,plain,
    ( ! [X47] :
        ( ~ c3_1(X47)
        | c1_1(X47)
        | ~ c2_1(X47) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f1176,plain,
    ( ~ spl0_9
    | ~ spl0_142
    | ~ spl0_18
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1175,f707,f270,f900,f229]) ).

fof(f229,plain,
    ( spl0_9
  <=> c0_1(a1208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f900,plain,
    ( spl0_142
  <=> c2_1(a1208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f707,plain,
    ( spl0_111
  <=> c1_1(a1208) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1175,plain,
    ( ~ c2_1(a1208)
    | ~ c0_1(a1208)
    | ~ spl0_18
    | ~ spl0_111 ),
    inference(resolution,[],[f271,f709]) ).

fof(f709,plain,
    ( c1_1(a1208)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f1162,plain,
    ( spl0_143
    | spl0_70
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1151,f653,f410,f504,f908]) ).

fof(f410,plain,
    ( spl0_48
  <=> ! [X95] :
        ( c2_1(X95)
        | ~ c3_1(X95)
        | c0_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1151,plain,
    ( c2_1(a1232)
    | c0_1(a1232)
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(resolution,[],[f411,f655]) ).

fof(f411,plain,
    ( ! [X95] :
        ( ~ c3_1(X95)
        | c2_1(X95)
        | c0_1(X95) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1161,plain,
    ( spl0_41
    | spl0_163
    | ~ spl0_48
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1149,f648,f410,f1158,f374]) ).

fof(f1149,plain,
    ( c0_1(a1224)
    | c2_1(a1224)
    | ~ spl0_48
    | ~ spl0_100 ),
    inference(resolution,[],[f411,f650]) ).

fof(f1139,plain,
    ( spl0_59
    | ~ spl0_108
    | ~ spl0_74
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1133,f838,f520,f689,f458]) ).

fof(f1133,plain,
    ( ~ c0_1(a1210)
    | c3_1(a1210)
    | ~ spl0_74
    | ~ spl0_131 ),
    inference(resolution,[],[f521,f840]) ).

fof(f1129,plain,
    ( spl0_93
    | ~ spl0_119
    | ~ spl0_5
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1119,f1078,f213,f760,f611]) ).

fof(f1119,plain,
    ( ~ c2_1(a1205)
    | c0_1(a1205)
    | ~ spl0_5
    | ~ spl0_160 ),
    inference(resolution,[],[f214,f1080]) ).

fof(f1108,plain,
    ( spl0_162
    | spl0_146
    | ~ spl0_73
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1102,f636,f517,f925,f1105]) ).

fof(f1102,plain,
    ( c2_1(a1233)
    | c3_1(a1233)
    | ~ spl0_73
    | ~ spl0_98 ),
    inference(resolution,[],[f518,f638]) ).

fof(f1103,plain,
    ( spl0_158
    | spl0_59
    | ~ spl0_73
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1098,f838,f517,f458,f1040]) ).

fof(f1098,plain,
    ( c3_1(a1210)
    | c2_1(a1210)
    | ~ spl0_73
    | ~ spl0_131 ),
    inference(resolution,[],[f518,f840]) ).

fof(f1097,plain,
    ( spl0_140
    | spl0_90
    | ~ spl0_72
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1091,f565,f514,f596,f886]) ).

fof(f886,plain,
    ( spl0_140
  <=> c1_1(a1267) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f596,plain,
    ( spl0_90
  <=> c2_1(a1267) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f565,plain,
    ( spl0_84
  <=> c0_1(a1267) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1091,plain,
    ( c2_1(a1267)
    | c1_1(a1267)
    | ~ spl0_72
    | ~ spl0_84 ),
    inference(resolution,[],[f515,f567]) ).

fof(f567,plain,
    ( c0_1(a1267)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f1081,plain,
    ( spl0_93
    | spl0_160
    | ~ spl0_69
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1071,f760,f500,f1078,f611]) ).

fof(f1071,plain,
    ( c3_1(a1205)
    | c0_1(a1205)
    | ~ spl0_69
    | ~ spl0_119 ),
    inference(resolution,[],[f501,f762]) ).

fof(f762,plain,
    ( c2_1(a1205)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f1052,plain,
    ( ~ spl0_144
    | spl0_37
    | ~ spl0_42
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1050,f474,f380,f354,f914]) ).

fof(f474,plain,
    ( spl0_63
  <=> ! [X9] :
        ( ~ c2_1(X9)
        | ~ c1_1(X9)
        | c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1050,plain,
    ( c0_1(a1219)
    | ~ c2_1(a1219)
    | ~ spl0_42
    | ~ spl0_63 ),
    inference(resolution,[],[f475,f382]) ).

fof(f475,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | ~ c2_1(X9)
        | c0_1(X9) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1043,plain,
    ( ~ spl0_158
    | ~ spl0_108
    | ~ spl0_18
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1038,f838,f270,f689,f1040]) ).

fof(f1038,plain,
    ( ~ c0_1(a1210)
    | ~ c2_1(a1210)
    | ~ spl0_18
    | ~ spl0_131 ),
    inference(resolution,[],[f840,f271]) ).

fof(f1035,plain,
    ( ~ spl0_42
    | spl0_37
    | ~ spl0_6
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1034,f1027,f216,f354,f380]) ).

fof(f1034,plain,
    ( c0_1(a1219)
    | ~ c1_1(a1219)
    | ~ spl0_6
    | ~ spl0_157 ),
    inference(resolution,[],[f1029,f217]) ).

fof(f1023,plain,
    ( spl0_102
    | ~ spl0_21
    | ~ spl0_64
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1022,f782,f477,f281,f662]) ).

fof(f662,plain,
    ( spl0_102
  <=> c1_1(a1237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f281,plain,
    ( spl0_21
  <=> c0_1(a1237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f782,plain,
    ( spl0_123
  <=> c3_1(a1237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1022,plain,
    ( ~ c0_1(a1237)
    | c1_1(a1237)
    | ~ spl0_64
    | ~ spl0_123 ),
    inference(resolution,[],[f478,f784]) ).

fof(f784,plain,
    ( c3_1(a1237)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f993,plain,
    ( spl0_154
    | spl0_106
    | ~ spl0_60
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f987,f719,f463,f678,f990]) ).

fof(f987,plain,
    ( c0_1(a1211)
    | c3_1(a1211)
    | ~ spl0_60
    | ~ spl0_113 ),
    inference(resolution,[],[f464,f721]) ).

fof(f721,plain,
    ( c1_1(a1211)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f983,plain,
    ( spl0_122
    | spl0_32
    | spl0_26
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f973,f417,f304,f331,f774]) ).

fof(f774,plain,
    ( spl0_122
  <=> c0_1(a1207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f331,plain,
    ( spl0_32
  <=> c2_1(a1207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f304,plain,
    ( spl0_26
  <=> c1_1(a1207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f973,plain,
    ( c2_1(a1207)
    | c0_1(a1207)
    | spl0_26
    | ~ spl0_50 ),
    inference(resolution,[],[f418,f306]) ).

fof(f306,plain,
    ( ~ c1_1(a1207)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f954,plain,
    ( ~ spl0_150
    | ~ spl0_25
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f948,f313,f270,f299,f951]) ).

fof(f948,plain,
    ( ~ c2_1(a1215)
    | ~ c0_1(a1215)
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(resolution,[],[f271,f315]) ).

fof(f946,plain,
    ( ~ spl0_149
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f150,f533,f943]) ).

fof(f533,plain,
    ( spl0_77
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f150,plain,
    ( ~ hskp23
    | ~ c3_1(a1261) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp14
      | ! [X84] :
          ( c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0
          | ~ c2_1(X84) )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ ndr1_0
          | c1_1(X83)
          | c2_1(X83) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76) )
      | ! [X77] :
          ( c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0
          | c3_1(X77) )
      | ! [X78] :
          ( c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0
          | ~ c2_1(X78) ) )
    & ( hskp3
      | hskp24
      | hskp7 )
    & ( hskp2
      | hskp27
      | hskp19 )
    & ( hskp26
      | ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85) )
      | ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ ndr1_0
          | c0_1(X86) ) )
    & ( ! [X35] :
          ( ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0
          | ~ c3_1(X35) )
      | ! [X36] :
          ( c3_1(X36)
          | ~ ndr1_0
          | ~ c2_1(X36)
          | c0_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37) ) )
    & ( hskp1
      | ! [X51] :
          ( c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0
          | ~ c3_1(X51) )
      | hskp16 )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0
          | ~ c0_1(X72) )
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c0_1(X71) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | c1_1(X73)
          | c0_1(X73) ) )
    & ( ! [X50] :
          ( c3_1(X50)
          | c1_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | ~ ndr1_0
          | ~ c1_1(X49)
          | c2_1(X49) )
      | hskp25 )
    & ( hskp7
      | hskp4
      | hskp18 )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a1250)
        & c2_1(a1250)
        & ~ c0_1(a1250) ) )
    & ( hskp28
      | hskp24
      | hskp26 )
    & ( hskp16
      | hskp23
      | hskp20 )
    & ( hskp9
      | ! [X28] :
          ( ~ ndr1_0
          | c0_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28) )
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X102] :
          ( c2_1(X102)
          | c0_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91) )
      | ! [X90] :
          ( c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0
          | c3_1(X90) ) )
    & ( hskp25
      | hskp0
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13) )
      | ! [X12] :
          ( c2_1(X12)
          | ~ ndr1_0
          | ~ c0_1(X12)
          | ~ c3_1(X12) ) )
    & ( ! [X101] :
          ( ~ c1_1(X101)
          | ~ ndr1_0
          | c2_1(X101)
          | ~ c3_1(X101) )
      | hskp14
      | ! [X100] :
          ( c1_1(X100)
          | c3_1(X100)
          | ~ ndr1_0
          | ~ c2_1(X100) ) )
    & ( ~ hskp24
      | ( ~ c2_1(a1267)
        & ndr1_0
        & ~ c1_1(a1267)
        & c0_1(a1267) ) )
    & ( ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | c3_1(X3)
          | ~ c1_1(X3) )
      | ! [X2] :
          ( c0_1(X2)
          | ~ ndr1_0
          | ~ c1_1(X2)
          | ~ c3_1(X2) )
      | hskp11 )
    & ( hskp2
      | hskp1
      | ! [X21] :
          ( ~ ndr1_0
          | c2_1(X21)
          | c0_1(X21)
          | c1_1(X21) ) )
    & ( hskp28
      | ! [X26] :
          ( c0_1(X26)
          | c3_1(X26)
          | ~ ndr1_0
          | c2_1(X26) ) )
    & ( hskp20
      | ! [X46] :
          ( c2_1(X46)
          | c3_1(X46)
          | ~ ndr1_0
          | ~ c1_1(X46) )
      | hskp19 )
    & ( ~ hskp1
      | ( c0_1(a1206)
        & ndr1_0
        & ~ c3_1(a1206)
        & c2_1(a1206) ) )
    & ( ( ~ c0_1(a1212)
        & ~ c3_1(a1212)
        & c2_1(a1212)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0
          | ~ c2_1(X63) )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ ndr1_0
          | c0_1(X64)
          | c1_1(X64) )
      | hskp3 )
    & ( ! [X57] :
          ( c2_1(X57)
          | c0_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ ndr1_0
          | c2_1(X56)
          | c1_1(X56)
          | ~ c0_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | c0_1(X55)
          | c3_1(X55) ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0
          | c0_1(X30) )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | ~ ndr1_0
          | ~ c1_1(X29) )
      | hskp1 )
    & ( ( c2_1(a1219)
        & c1_1(a1219)
        & ~ c0_1(a1219)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X6] :
          ( c0_1(X6)
          | ~ ndr1_0
          | c1_1(X6)
          | ~ c3_1(X6) )
      | ! [X4] :
          ( c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0
          | ~ c0_1(X4) )
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c0_1(X5) ) )
    & ( hskp10
      | ! [X1] :
          ( ~ c0_1(X1)
          | ~ c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X0] :
          ( ~ c0_1(X0)
          | ~ ndr1_0
          | c2_1(X0)
          | ~ c1_1(X0) ) )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ ndr1_0
          | c3_1(X93)
          | c2_1(X93) )
      | hskp18
      | ! [X92] :
          ( c1_1(X92)
          | ~ c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a1223)
        & ndr1_0
        & ~ c3_1(a1223)
        & c2_1(a1223) )
      | ~ hskp10 )
    & ( hskp22
      | hskp13
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0
          | ~ c2_1(X80) ) )
    & ( hskp21
      | hskp0
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82) ) )
    & ( ~ hskp18
      | ( c3_1(a1246)
        & ndr1_0
        & c2_1(a1246)
        & ~ c1_1(a1246) ) )
    & ( ! [X96] :
          ( ~ c1_1(X96)
          | c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94) )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp21 )
    & ( hskp13
      | ! [X89] :
          ( c1_1(X89)
          | ~ ndr1_0
          | c2_1(X89)
          | c3_1(X89) )
      | hskp12 )
    & ( hskp5
      | hskp6
      | hskp15 )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c2_1(a1232) ) )
    & ( hskp17
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c0_1(X45)
          | c1_1(X45)
          | c3_1(X45) )
      | hskp5 )
    & ( hskp18
      | hskp10
      | hskp2 )
    & ( hskp5
      | ! [X66] :
          ( c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0
          | c1_1(X66) )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ ndr1_0
          | ~ c0_1(X67)
          | ~ c3_1(X67) ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | hskp1
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X97] :
          ( c0_1(X97)
          | ~ ndr1_0
          | c3_1(X97)
          | c2_1(X97) )
      | hskp7 )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | c3_1(X38)
          | c2_1(X38) )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ ndr1_0
          | ~ c1_1(X39)
          | ~ c2_1(X39) ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | ~ c1_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ ndr1_0
          | c2_1(X104)
          | c0_1(X104)
          | c3_1(X104) ) )
    & ( ( c3_1(a1204)
        & c2_1(a1204)
        & c0_1(a1204)
        & ndr1_0 )
      | ~ hskp25 )
    & ( hskp19
      | hskp14
      | hskp24 )
    & ( ~ hskp4
      | ( ~ c0_1(a1211)
        & c1_1(a1211)
        & ndr1_0
        & ~ c2_1(a1211) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | c0_1(X7) )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ ndr1_0
          | ~ c1_1(X8)
          | c0_1(X8) )
      | hskp3 )
    & ( ~ hskp6
      | ( c1_1(a1215)
        & ndr1_0
        & c2_1(a1215)
        & ~ c3_1(a1215) ) )
    & ( ! [X70] :
          ( ~ c0_1(X70)
          | c2_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | hskp8
      | hskp11 )
    & ( ( ~ c3_1(a1247)
        & ndr1_0
        & ~ c2_1(a1247)
        & c1_1(a1247) )
      | ~ hskp19 )
    & ( ! [X79] :
          ( c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0
          | c1_1(X79) )
      | hskp15
      | hskp4 )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1216)
        & ~ c3_1(a1216)
        & ~ c2_1(a1216) ) )
    & ( ~ hskp17
      | ( c0_1(a1237)
        & ndr1_0
        & ~ c1_1(a1237)
        & c3_1(a1237) ) )
    & ( hskp4
      | ! [X75] :
          ( c0_1(X75)
          | c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ ndr1_0
          | ~ c0_1(X74) ) )
    & ( ( c0_1(a1233)
        & ndr1_0
        & c1_1(a1233)
        & ~ c2_1(a1233) )
      | ~ hskp15 )
    & ( hskp23
      | hskp18
      | hskp14 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0
          | c3_1(X87) )
      | ! [X88] :
          ( c2_1(X88)
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ~ hskp28
      | ( c1_1(a1214)
        & c0_1(a1214)
        & c3_1(a1214)
        & ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c1_1(X14)
          | ~ ndr1_0
          | c3_1(X14)
          | c0_1(X14) )
      | hskp27
      | hskp0 )
    & ( ~ hskp12
      | ( c3_1(a1228)
        & c0_1(a1228)
        & ~ c2_1(a1228)
        & ndr1_0 ) )
    & ( hskp9
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c3_1(X17)
          | c1_1(X17) )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ ndr1_0
          | c1_1(X18)
          | ~ c0_1(X18) ) )
    & ( ( c1_1(a1213)
        & ndr1_0
        & c2_1(a1213)
        & c3_1(a1213) )
      | ~ hskp27 )
    & ( ( ~ c1_1(a1205)
        & ndr1_0
        & ~ c0_1(a1205)
        & c2_1(a1205) )
      | ~ hskp0 )
    & ( ~ hskp26
      | ( c2_1(a1208)
        & c1_1(a1208)
        & ndr1_0
        & c0_1(a1208) ) )
    & ( ( ~ c2_1(a1224)
        & ndr1_0
        & c3_1(a1224)
        & c1_1(a1224) )
      | ~ hskp11 )
    & ( hskp11
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | ~ ndr1_0
          | c0_1(X81) ) )
    & ( ! [X99] :
          ( ~ c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0
          | c3_1(X99) )
      | hskp8
      | ! [X98] :
          ( c2_1(X98)
          | ~ ndr1_0
          | ~ c1_1(X98)
          | c0_1(X98) ) )
    & ( hskp13
      | ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp19
      | ! [X48] :
          ( ~ c1_1(X48)
          | ~ ndr1_0
          | c2_1(X48)
          | ~ c0_1(X48) )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47)
          | c1_1(X47) ) )
    & ( hskp17
      | hskp4
      | hskp12 )
    & ( ! [X33] :
          ( c2_1(X33)
          | ~ ndr1_0
          | ~ c0_1(X33)
          | c1_1(X33) )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0
          | c3_1(X31) )
      | ! [X32] :
          ( c3_1(X32)
          | ~ ndr1_0
          | ~ c1_1(X32)
          | ~ c0_1(X32) ) )
    & ( ( ndr1_0
        & ~ c2_1(a1261)
        & ~ c3_1(a1261)
        & ~ c0_1(a1261) )
      | ~ hskp23 )
    & ( hskp0
      | hskp23
      | ! [X52] :
          ( ~ c0_1(X52)
          | ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c1_1(X52) ) )
    & ( ~ hskp3
      | ( c1_1(a1210)
        & ndr1_0
        & c0_1(a1210)
        & ~ c3_1(a1210) ) )
    & ( ~ hskp8
      | ( ~ c3_1(a1217)
        & ndr1_0
        & ~ c1_1(a1217)
        & ~ c0_1(a1217) ) )
    & ( ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | ~ c1_1(X25) )
      | hskp0 )
    & ( hskp26
      | hskp1
      | hskp25 )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a1229)
        & c2_1(a1229)
        & c0_1(a1229) ) )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62) )
      | hskp2
      | hskp7 )
    & ( ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53)
          | ~ c0_1(X53) )
      | hskp27 )
    & ( ( ~ c1_1(a1236)
        & c0_1(a1236)
        & ~ c3_1(a1236)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ! [X108] :
          ( c0_1(X108)
          | c3_1(X108)
          | ~ ndr1_0
          | ~ c2_1(X108) )
      | hskp0
      | ! [X107] :
          ( ~ c0_1(X107)
          | ~ ndr1_0
          | c1_1(X107)
          | c3_1(X107) ) )
    & ( ( ndr1_0
        & c3_1(a1257)
        & ~ c1_1(a1257)
        & ~ c0_1(a1257) )
      | ~ hskp21 )
    & ( ( ~ c0_1(a1207)
        & ~ c2_1(a1207)
        & ndr1_0
        & ~ c1_1(a1207) )
      | ~ hskp2 )
    & ( ! [X41] :
          ( ~ ndr1_0
          | c3_1(X41)
          | ~ c0_1(X41)
          | c1_1(X41) )
      | ! [X42] :
          ( c3_1(X42)
          | ~ ndr1_0
          | c2_1(X42)
          | ~ c0_1(X42) )
      | ! [X40] :
          ( ~ c1_1(X40)
          | c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19) )
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ ndr1_0
          | ~ c0_1(X20)
          | c2_1(X20) ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | ~ ndr1_0
          | c1_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c0_1(X10)
          | ~ c3_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ c2_1(X9)
          | c0_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c3_1(X68)
          | ~ ndr1_0
          | ~ c0_1(X68)
          | ~ c2_1(X68) )
      | hskp10
      | ! [X69] :
          ( c0_1(X69)
          | ~ ndr1_0
          | ~ c2_1(X69)
          | c3_1(X69) ) )
    & ( ( ndr1_0
        & ~ c2_1(a1259)
        & ~ c3_1(a1259)
        & c0_1(a1259) )
      | ~ hskp22 )
    & ( hskp22
      | hskp6
      | hskp7 )
    & ( ! [X22] :
          ( c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | hskp10
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | ~ c0_1(X23) ) )
    & ( hskp8
      | hskp6
      | hskp22 )
    & ( ! [X60] :
          ( c0_1(X60)
          | c2_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59) )
      | ! [X61] :
          ( ~ ndr1_0
          | c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61) ) )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c2_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp14
      | hskp13
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ ndr1_0
          | c3_1(X65)
          | c1_1(X65) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp28
      | hskp24
      | hskp26 )
    & ( hskp13
      | hskp22
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c2_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c1_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp25
      | hskp0
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp18
      | hskp14 )
    & ( hskp2
      | hskp27
      | hskp19 )
    & ( hskp14
      | ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c1_1(X101)
          | c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X75] :
          ( ~ c3_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( c1_1(a1215)
        & ndr1_0
        & c2_1(a1215)
        & ~ c3_1(a1215) ) )
    & ( ! [X17] :
          ( c1_1(X17)
          | ~ c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 ) )
    & ( ~ hskp24
      | ( ~ c2_1(a1267)
        & ndr1_0
        & ~ c1_1(a1267)
        & c0_1(a1267) ) )
    & ( ( ~ c1_1(a1236)
        & c0_1(a1236)
        & ~ c3_1(a1236)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp9
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c3_1(X28)
          | c0_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp12
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1204)
        & c2_1(a1204)
        & c0_1(a1204)
        & ndr1_0 )
      | ~ hskp25 )
    & ( hskp0
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X76] :
          ( c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c2_1(X78)
          | c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c0_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a1250)
        & c2_1(a1250)
        & ~ c0_1(a1250) ) )
    & ( ! [X9] :
          ( ~ c2_1(X9)
          | c0_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | ~ c3_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp23
      | hskp20 )
    & ( hskp2
      | hskp7
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp1
      | hskp25 )
    & ( ! [X72] :
          ( c3_1(X72)
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c1_1(a1214)
        & c0_1(a1214)
        & c3_1(a1214)
        & ndr1_0 ) )
    & ( hskp5
      | hskp6
      | hskp15 )
    & ( hskp13
      | ! [X34] :
          ( c3_1(X34)
          | c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c1_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c2_1(X55)
          | c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp24
      | hskp7 )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp14
      | ! [X83] :
          ( c2_1(X83)
          | ~ c0_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c2_1(X22)
          | c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X26] :
          ( c2_1(X26)
          | c3_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( c2_1(a1208)
        & c1_1(a1208)
        & ndr1_0
        & c0_1(a1208) ) )
    & ( ~ hskp4
      | ( ~ c0_1(a1211)
        & c1_1(a1211)
        & ndr1_0
        & ~ c2_1(a1211) ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c3_1(X51)
          | c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ~ hskp1
      | ( c0_1(a1206)
        & ndr1_0
        & ~ c3_1(a1206)
        & c2_1(a1206) ) )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | hskp5
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c1_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a1229)
        & c2_1(a1229)
        & c0_1(a1229) ) )
    & ( hskp7
      | hskp4
      | hskp18 )
    & ( ( ~ c0_1(a1212)
        & ~ c3_1(a1212)
        & c2_1(a1212)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X12] :
          ( ~ c0_1(X12)
          | ~ c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( c0_1(X108)
          | c3_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c1_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1216)
        & ~ c3_1(a1216)
        & ~ c2_1(a1216) ) )
    & ( ! [X1] :
          ( ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp10
      | ! [X0] :
          ( c2_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( c0_1(a1237)
        & ndr1_0
        & ~ c1_1(a1237)
        & c3_1(a1237) ) )
    & ( ! [X37] :
          ( ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c2_1(X36)
          | c0_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ( c0_1(a1233)
        & ndr1_0
        & c1_1(a1233)
        & ~ c2_1(a1233) )
      | ~ hskp15 )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp27
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp6
      | hskp7 )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp25
      | ! [X49] :
          ( ~ c1_1(X49)
          | c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c3_1(X81)
          | ~ c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp19
      | ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c1_1(X3)
          | c3_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c0_1(X90)
          | ~ c1_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( c1_1(a1210)
        & ndr1_0
        & c0_1(a1210)
        & ~ c3_1(a1210) ) )
    & ( ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a1213)
        & ndr1_0
        & c2_1(a1213)
        & c3_1(a1213) )
      | ~ hskp27 )
    & ( ! [X97] :
          ( c3_1(X97)
          | c0_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | hskp7
      | hskp6 )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | c2_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c0_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( ~ c2_1(a1224)
        & ndr1_0
        & c3_1(a1224)
        & c1_1(a1224) )
      | ~ hskp11 )
    & ( ! [X21] :
          ( c2_1(X21)
          | c1_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( hskp19
      | hskp14
      | hskp24 )
    & ( ( ~ c3_1(a1247)
        & ndr1_0
        & ~ c2_1(a1247)
        & c1_1(a1247) )
      | ~ hskp19 )
    & ( ( c2_1(a1219)
        & c1_1(a1219)
        & ~ c0_1(a1219)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X98] :
          ( c0_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | hskp8
      | ! [X99] :
          ( c0_1(X99)
          | ~ c1_1(X99)
          | c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( c3_1(a1228)
        & c0_1(a1228)
        & ~ c2_1(a1228)
        & ndr1_0 ) )
    & ( hskp0
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | c2_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c1_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a1259)
        & ~ c3_1(a1259)
        & c0_1(a1259) )
      | ~ hskp22 )
    & ( hskp3
      | ! [X7] :
          ( ~ c3_1(X7)
          | c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c3_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp4
      | hskp15
      | ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ c1_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp8
      | hskp6
      | hskp22 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c2_1(a1232) ) )
    & ( ~ hskp8
      | ( ~ c3_1(a1217)
        & ndr1_0
        & ~ c1_1(a1217)
        & ~ c0_1(a1217) ) )
    & ( ( ~ c1_1(a1205)
        & ndr1_0
        & ~ c0_1(a1205)
        & c2_1(a1205) )
      | ~ hskp0 )
    & ( ~ hskp18
      | ( c3_1(a1246)
        & ndr1_0
        & c2_1(a1246)
        & ~ c1_1(a1246) ) )
    & ( hskp25
      | hskp21 )
    & ( ( ~ c0_1(a1207)
        & ~ c2_1(a1207)
        & ndr1_0
        & ~ c1_1(a1207) )
      | ~ hskp2 )
    & ( ( ndr1_0
        & ~ c2_1(a1261)
        & ~ c3_1(a1261)
        & ~ c0_1(a1261) )
      | ~ hskp23 )
    & ( ! [X30] :
          ( ~ c1_1(X30)
          | c0_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp5
      | ! [X45] :
          ( c3_1(X45)
          | c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ( ndr1_0
        & c3_1(a1257)
        & ~ c1_1(a1257)
        & ~ c0_1(a1257) )
      | ~ hskp21 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c3_1(X4)
          | c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | hskp2 )
    & ( hskp1
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp4
      | hskp12 )
    & ( ( ~ c1_1(a1223)
        & ndr1_0
        & ~ c3_1(a1223)
        & c2_1(a1223) )
      | ~ hskp10 )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c3_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c0_1(X86)
          | c3_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | hskp26 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp28
      | hskp24
      | hskp26 )
    & ( hskp13
      | hskp22
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c2_1(X80)
            | ~ c0_1(X80) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | c3_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c3_1(X40)
            | c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | ~ c0_1(X41)
            | c3_1(X41) ) ) )
    & ( hskp0
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c1_1(X82)
            | c3_1(X82) ) )
      | hskp21 )
    & ( hskp25
      | hskp0
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp23
      | hskp18
      | hskp14 )
    & ( hskp2
      | hskp27
      | hskp19 )
    & ( hskp14
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c1_1(X100)
            | c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | c2_1(X101)
            | ~ c3_1(X101) ) ) )
    & ( hskp4
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c1_1(X75)
            | c0_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) ) )
    & ( ~ hskp6
      | ( c1_1(a1215)
        & ndr1_0
        & c2_1(a1215)
        & ~ c3_1(a1215) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | ~ c2_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | ~ c0_1(X18)
            | ~ c3_1(X18) ) )
      | hskp9 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c2_1(X106)
            | ~ c1_1(X106) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | c2_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c1_1(X105)
            | ~ c3_1(X105) ) ) )
    & ( ~ hskp24
      | ( ~ c2_1(a1267)
        & ndr1_0
        & ~ c1_1(a1267)
        & c0_1(a1267) ) )
    & ( ( ~ c1_1(a1236)
        & c0_1(a1236)
        & ~ c3_1(a1236)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp9
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c3_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c0_1(X28)
            | ~ c1_1(X28) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c2_1(X88)
            | ~ c0_1(X88) ) )
      | hskp12
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | c1_1(X87)
            | c3_1(X87) ) ) )
    & ( ( c3_1(a1204)
        & c2_1(a1204)
        & c0_1(a1204)
        & ndr1_0 )
      | ~ hskp25 )
    & ( hskp0
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c0_1(X14) ) )
      | hskp27 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | ~ c0_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | c0_1(X78)
            | c1_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c0_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a1250)
        & c2_1(a1250)
        & ~ c0_1(a1250) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c0_1(X9)
            | ~ c1_1(X9) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | c0_1(X11)
            | c2_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | ~ c3_1(X10)
            | ~ c0_1(X10) ) ) )
    & ( hskp16
      | hskp23
      | hskp20 )
    & ( hskp2
      | hskp7
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | ~ c1_1(X62) ) ) )
    & ( hskp26
      | hskp1
      | hskp25 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c3_1(X73)
            | c0_1(X73) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c1_1(X71)
            | ~ c0_1(X71) ) ) )
    & ( ~ hskp28
      | ( c1_1(a1214)
        & c0_1(a1214)
        & c3_1(a1214)
        & ndr1_0 ) )
    & ( hskp5
      | hskp6
      | hskp15 )
    & ( hskp13
      | ! [X34] :
          ( ndr1_0
         => ( c3_1(X34)
            | c1_1(X34)
            | ~ c2_1(X34) ) )
      | hskp6 )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c2_1(X31)
            | ~ c1_1(X31)
            | c3_1(X31) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c0_1(X55)
            | c3_1(X55) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | c1_1(X56)
            | ~ c0_1(X56) ) ) )
    & ( hskp3
      | hskp24
      | hskp7 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c2_1(X84)
            | ~ c0_1(X84) ) )
      | hskp14
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c0_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp10
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c2_1(X22)
            | c1_1(X22)
            | ~ c0_1(X22) ) ) )
    & ( hskp28
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | c3_1(X26)
            | c0_1(X26) ) ) )
    & ( ~ hskp26
      | ( c2_1(a1208)
        & c1_1(a1208)
        & ndr1_0
        & c0_1(a1208) ) )
    & ( ~ hskp4
      | ( ~ c0_1(a1211)
        & c1_1(a1211)
        & ndr1_0
        & ~ c2_1(a1211) ) )
    & ( hskp16
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | c1_1(X51)
            | c2_1(X51) ) )
      | hskp1 )
    & ( ~ hskp1
      | ( c0_1(a1206)
        & ndr1_0
        & ~ c3_1(a1206)
        & c2_1(a1206) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c3_1(X66)
            | c0_1(X66) ) )
      | hskp5
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c1_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( hskp14
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c2_1(X65)
            | c3_1(X65) ) )
      | hskp13 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp18 )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a1229)
        & c2_1(a1229)
        & c0_1(a1229) ) )
    & ( hskp7
      | hskp4
      | hskp18 )
    & ( ( ~ c0_1(a1212)
        & ~ c3_1(a1212)
        & c2_1(a1212)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | ~ c3_1(X12)
            | c2_1(X12) ) )
      | hskp3
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c3_1(X13)
            | ~ c1_1(X13) ) ) )
    & ( ! [X108] :
          ( ndr1_0
         => ( c0_1(X108)
            | c3_1(X108)
            | ~ c2_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | c3_1(X107)
            | ~ c0_1(X107) ) )
      | hskp0 )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1216)
        & ~ c3_1(a1216)
        & ~ c2_1(a1216) ) )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c0_1(X1)
            | ~ c3_1(X1) ) )
      | hskp10
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( ~ hskp17
      | ( c0_1(a1237)
        & ndr1_0
        & ~ c1_1(a1237)
        & c3_1(a1237) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c3_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c3_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | ~ c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp0
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c0_1(X52)
            | ~ c1_1(X52) ) )
      | hskp23 )
    & ( ( c0_1(a1233)
        & ndr1_0
        & c1_1(a1233)
        & ~ c2_1(a1233) )
      | ~ hskp15 )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c2_1(X53)
            | ~ c0_1(X53) ) )
      | hskp27
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp22
      | hskp6
      | hskp7 )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) )
      | hskp8 )
    & ( hskp25
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c2_1(X49)
            | c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c3_1(X50)
            | ~ c0_1(X50) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c2_1(X81)
            | c0_1(X81) ) )
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c0_1(X44)
            | c1_1(X44) ) )
      | hskp6 )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c1_1(X47)
            | ~ c3_1(X47) ) )
      | hskp19
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c2_1(X48)
            | ~ c1_1(X48) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c3_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c2_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) ) )
    & ( hskp11
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | c3_1(X3)
            | ~ c2_1(X3) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | ~ c3_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c0_1(X90)
            | ~ c1_1(X90)
            | c3_1(X90) ) ) )
    & ( ~ hskp3
      | ( c1_1(a1210)
        & ndr1_0
        & c0_1(a1210)
        & ~ c3_1(a1210) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c0_1(X39)
            | ~ c1_1(X39) ) ) )
    & ( ( c1_1(a1213)
        & ndr1_0
        & c2_1(a1213)
        & c3_1(a1213) )
      | ~ hskp27 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c0_1(X97)
            | c2_1(X97) ) )
      | hskp7
      | hskp6 )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c2_1(X46)
            | c3_1(X46) ) )
      | hskp19
      | hskp20 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c0_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c0_1(X63)
            | ~ c3_1(X63) ) )
      | hskp3 )
    & ( ( ~ c2_1(a1224)
        & ndr1_0
        & c3_1(a1224)
        & c1_1(a1224) )
      | ~ hskp11 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) )
      | hskp2
      | hskp1 )
    & ( hskp19
      | hskp14
      | hskp24 )
    & ( ( ~ c3_1(a1247)
        & ndr1_0
        & ~ c2_1(a1247)
        & c1_1(a1247) )
      | ~ hskp19 )
    & ( ( c2_1(a1219)
        & c1_1(a1219)
        & ~ c0_1(a1219)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c0_1(X98)
            | ~ c1_1(X98)
            | c2_1(X98) ) )
      | hskp8
      | ! [X99] :
          ( ndr1_0
         => ( c0_1(X99)
            | ~ c1_1(X99)
            | c3_1(X99) ) ) )
    & ( ~ hskp12
      | ( c3_1(a1228)
        & c0_1(a1228)
        & ~ c2_1(a1228)
        & ndr1_0 ) )
    & ( hskp0
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c3_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp25
      | ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c2_1(X103)
            | c0_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | c2_1(X102)
            | c0_1(X102) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c1_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c1_1(X94)
            | ~ c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c0_1(X95)
            | ~ c3_1(X95) ) ) )
    & ( ( ndr1_0
        & ~ c2_1(a1259)
        & ~ c3_1(a1259)
        & c0_1(a1259) )
      | ~ hskp22 )
    & ( hskp3
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | c0_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c3_1(X8)
            | c0_1(X8) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c3_1(X69)
            | ~ c2_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c2_1(X68)
            | c3_1(X68) ) )
      | hskp10 )
    & ( hskp4
      | hskp15
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c2_1(X79)
            | ~ c3_1(X79) ) ) )
    & ( hskp11
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | ~ c1_1(X70)
            | c2_1(X70) ) )
      | hskp8 )
    & ( hskp8
      | hskp6
      | hskp22 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c2_1(X89)
            | c3_1(X89) ) )
      | hskp13
      | hskp12 )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c2_1(a1232) ) )
    & ( ~ hskp8
      | ( ~ c3_1(a1217)
        & ndr1_0
        & ~ c1_1(a1217)
        & ~ c0_1(a1217) ) )
    & ( ( ~ c1_1(a1205)
        & ndr1_0
        & ~ c0_1(a1205)
        & c2_1(a1205) )
      | ~ hskp0 )
    & ( ~ hskp18
      | ( c3_1(a1246)
        & ndr1_0
        & c2_1(a1246)
        & ~ c1_1(a1246) ) )
    & ( hskp25
      | hskp21 )
    & ( ( ~ c0_1(a1207)
        & ~ c2_1(a1207)
        & ndr1_0
        & ~ c1_1(a1207) )
      | ~ hskp2 )
    & ( ( ndr1_0
        & ~ c2_1(a1261)
        & ~ c3_1(a1261)
        & ~ c0_1(a1261) )
      | ~ hskp23 )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c0_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c0_1(X29)
            | ~ c1_1(X29) ) )
      | hskp1 )
    & ( hskp5
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c1_1(X45)
            | ~ c0_1(X45) ) )
      | hskp17 )
    & ( ( ndr1_0
        & c3_1(a1257)
        & ~ c1_1(a1257)
        & ~ c0_1(a1257) )
      | ~ hskp21 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | ~ c3_1(X6) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c2_1(X4)
            | ~ c0_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c0_1(X5)
            | ~ c2_1(X5)
            | ~ c3_1(X5) ) ) )
    & ( hskp18
      | hskp10
      | hskp2 )
    & ( hskp1
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c0_1(X16)
            | ~ c3_1(X16) ) ) )
    & ( hskp17
      | hskp4
      | hskp12 )
    & ( ( ~ c1_1(a1223)
        & ndr1_0
        & ~ c3_1(a1223)
        & c2_1(a1223) )
      | ~ hskp10 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c3_1(X85)
            | c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c0_1(X86)
            | c3_1(X86)
            | c1_1(X86) ) )
      | hskp26 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp28
          | hskp24
          | hskp26 )
        & ( hskp13
          | hskp22
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c2_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) ) )
        & ( hskp0
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | c3_1(X82) ) )
          | hskp21 )
        & ( hskp25
          | hskp0
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp23
          | hskp18
          | hskp14 )
        & ( hskp2
          | hskp27
          | hskp19 )
        & ( hskp14
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c1_1(X100)
                | c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | c2_1(X101)
                | ~ c3_1(X101) ) ) )
        & ( hskp4
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c1_1(X75)
                | c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) ) )
        & ( ~ hskp6
          | ( c1_1(a1215)
            & ndr1_0
            & c2_1(a1215)
            & ~ c3_1(a1215) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | ~ c2_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | hskp9 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c2_1(X106)
                | ~ c1_1(X106) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | c2_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) ) )
        & ( ~ hskp24
          | ( ~ c2_1(a1267)
            & ndr1_0
            & ~ c1_1(a1267)
            & c0_1(a1267) ) )
        & ( ( ~ c1_1(a1236)
            & c0_1(a1236)
            & ~ c3_1(a1236)
            & ndr1_0 )
          | ~ hskp16 )
        & ( hskp9
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c3_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c0_1(X28)
                | ~ c1_1(X28) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c2_1(X88)
                | ~ c0_1(X88) ) )
          | hskp12
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c1_1(X87)
                | c3_1(X87) ) ) )
        & ( ( c3_1(a1204)
            & c2_1(a1204)
            & c0_1(a1204)
            & ndr1_0 )
          | ~ hskp25 )
        & ( hskp0
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c0_1(X14) ) )
          | hskp27 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | c0_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a1250)
            & c2_1(a1250)
            & ~ c0_1(a1250) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c0_1(X9)
                | ~ c1_1(X9) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | ~ c3_1(X10)
                | ~ c0_1(X10) ) ) )
        & ( hskp16
          | hskp23
          | hskp20 )
        & ( hskp2
          | hskp7
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | ~ c1_1(X62) ) ) )
        & ( hskp26
          | hskp1
          | hskp25 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c3_1(X73)
                | c0_1(X73) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) ) )
        & ( ~ hskp28
          | ( c1_1(a1214)
            & c0_1(a1214)
            & c3_1(a1214)
            & ndr1_0 ) )
        & ( hskp5
          | hskp6
          | hskp15 )
        & ( hskp13
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c1_1(X34)
                | ~ c2_1(X34) ) )
          | hskp6 )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c1_1(X31)
                | c3_1(X31) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c0_1(X55)
                | c3_1(X55) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | c1_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( hskp3
          | hskp24
          | hskp7 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | hskp14
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c0_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp10
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | c1_1(X22)
                | ~ c0_1(X22) ) ) )
        & ( hskp28
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | c3_1(X26)
                | c0_1(X26) ) ) )
        & ( ~ hskp26
          | ( c2_1(a1208)
            & c1_1(a1208)
            & ndr1_0
            & c0_1(a1208) ) )
        & ( ~ hskp4
          | ( ~ c0_1(a1211)
            & c1_1(a1211)
            & ndr1_0
            & ~ c2_1(a1211) ) )
        & ( hskp16
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c1_1(X51)
                | c2_1(X51) ) )
          | hskp1 )
        & ( ~ hskp1
          | ( c0_1(a1206)
            & ndr1_0
            & ~ c3_1(a1206)
            & c2_1(a1206) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c3_1(X66)
                | c0_1(X66) ) )
          | hskp5
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( hskp14
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c2_1(X65)
                | c3_1(X65) ) )
          | hskp13 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp18 )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c1_1(a1229)
            & c2_1(a1229)
            & c0_1(a1229) ) )
        & ( hskp7
          | hskp4
          | hskp18 )
        & ( ( ~ c0_1(a1212)
            & ~ c3_1(a1212)
            & c2_1(a1212)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c3_1(X12)
                | c2_1(X12) ) )
          | hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c3_1(X13)
                | ~ c1_1(X13) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( c0_1(X108)
                | c3_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | c3_1(X107)
                | ~ c0_1(X107) ) )
          | hskp0 )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c1_1(a1216)
            & ~ c3_1(a1216)
            & ~ c2_1(a1216) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c0_1(X1)
                | ~ c3_1(X1) ) )
          | hskp10
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( ~ hskp17
          | ( c0_1(a1237)
            & ndr1_0
            & ~ c1_1(a1237)
            & c3_1(a1237) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c3_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c3_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp0
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp23 )
        & ( ( c0_1(a1233)
            & ndr1_0
            & c1_1(a1233)
            & ~ c2_1(a1233) )
          | ~ hskp15 )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c2_1(X53)
                | ~ c0_1(X53) ) )
          | hskp27
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp22
          | hskp6
          | hskp7 )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) )
          | hskp8 )
        & ( hskp25
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) )
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | hskp6 )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c1_1(X47)
                | ~ c3_1(X47) ) )
          | hskp19
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c2_1(X48)
                | ~ c1_1(X48) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c3_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) ) )
        & ( hskp11
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | c3_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c0_1(X90)
                | ~ c1_1(X90)
                | c3_1(X90) ) ) )
        & ( ~ hskp3
          | ( c1_1(a1210)
            & ndr1_0
            & c0_1(a1210)
            & ~ c3_1(a1210) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ( c1_1(a1213)
            & ndr1_0
            & c2_1(a1213)
            & c3_1(a1213) )
          | ~ hskp27 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c0_1(X97)
                | c2_1(X97) ) )
          | hskp7
          | hskp6 )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c2_1(X46)
                | c3_1(X46) ) )
          | hskp19
          | hskp20 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c0_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c0_1(X63)
                | ~ c3_1(X63) ) )
          | hskp3 )
        & ( ( ~ c2_1(a1224)
            & ndr1_0
            & c3_1(a1224)
            & c1_1(a1224) )
          | ~ hskp11 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) )
          | hskp2
          | hskp1 )
        & ( hskp19
          | hskp14
          | hskp24 )
        & ( ( ~ c3_1(a1247)
            & ndr1_0
            & ~ c2_1(a1247)
            & c1_1(a1247) )
          | ~ hskp19 )
        & ( ( c2_1(a1219)
            & c1_1(a1219)
            & ~ c0_1(a1219)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c0_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) )
          | hskp8
          | ! [X99] :
              ( ndr1_0
             => ( c0_1(X99)
                | ~ c1_1(X99)
                | c3_1(X99) ) ) )
        & ( ~ hskp12
          | ( c3_1(a1228)
            & c0_1(a1228)
            & ~ c2_1(a1228)
            & ndr1_0 ) )
        & ( hskp0
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp25
          | ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c2_1(X102)
                | c0_1(X102) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c1_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c0_1(X95)
                | ~ c3_1(X95) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a1259)
            & ~ c3_1(a1259)
            & c0_1(a1259) )
          | ~ hskp22 )
        & ( hskp3
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c0_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c3_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c3_1(X69)
                | ~ c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c2_1(X68)
                | c3_1(X68) ) )
          | hskp10 )
        & ( hskp4
          | hskp15
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) ) )
        & ( hskp11
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | c2_1(X70) ) )
          | hskp8 )
        & ( hskp8
          | hskp6
          | hskp22 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | c3_1(X89) ) )
          | hskp13
          | hskp12 )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a1232)
            & ~ c0_1(a1232)
            & ~ c2_1(a1232) ) )
        & ( ~ hskp8
          | ( ~ c3_1(a1217)
            & ndr1_0
            & ~ c1_1(a1217)
            & ~ c0_1(a1217) ) )
        & ( ( ~ c1_1(a1205)
            & ndr1_0
            & ~ c0_1(a1205)
            & c2_1(a1205) )
          | ~ hskp0 )
        & ( ~ hskp18
          | ( c3_1(a1246)
            & ndr1_0
            & c2_1(a1246)
            & ~ c1_1(a1246) ) )
        & ( hskp25
          | hskp21 )
        & ( ( ~ c0_1(a1207)
            & ~ c2_1(a1207)
            & ndr1_0
            & ~ c1_1(a1207) )
          | ~ hskp2 )
        & ( ( ndr1_0
            & ~ c2_1(a1261)
            & ~ c3_1(a1261)
            & ~ c0_1(a1261) )
          | ~ hskp23 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c0_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) )
          | hskp1 )
        & ( hskp5
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c1_1(X45)
                | ~ c0_1(X45) ) )
          | hskp17 )
        & ( ( ndr1_0
            & c3_1(a1257)
            & ~ c1_1(a1257)
            & ~ c0_1(a1257) )
          | ~ hskp21 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | ~ c2_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( hskp18
          | hskp10
          | hskp2 )
        & ( hskp1
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( hskp17
          | hskp4
          | hskp12 )
        & ( ( ~ c1_1(a1223)
            & ndr1_0
            & ~ c3_1(a1223)
            & c2_1(a1223) )
          | ~ hskp10 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c3_1(X85)
                | c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) )
          | hskp26 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp10
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c2_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) ) )
        & ( hskp5
          | hskp6
          | hskp15 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c3_1(X64)
                | ~ c1_1(X64) ) )
          | hskp11
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c3_1(X65) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ( ~ c1_1(a1205)
            & ndr1_0
            & ~ c0_1(a1205)
            & c2_1(a1205) )
          | ~ hskp0 )
        & ( hskp26
          | hskp1
          | hskp25 )
        & ( ~ hskp28
          | ( c1_1(a1214)
            & c0_1(a1214)
            & c3_1(a1214)
            & ndr1_0 ) )
        & ( ( ~ c1_1(a1223)
            & ndr1_0
            & ~ c3_1(a1223)
            & c2_1(a1223) )
          | ~ hskp10 )
        & ( hskp3
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c3_1(X63)
                | c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c2_1(X7)
                | c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c3_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | ~ c0_1(X101) ) )
          | hskp3
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) ) )
        & ( hskp0
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c0_1(X51)
                | ~ c1_1(X51) ) )
          | hskp27 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c0_1(X107)
                | ~ c2_1(X107) ) )
          | hskp1 )
        & ( hskp9
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c2_1(X79)
                | c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp3
          | hskp24
          | hskp7 )
        & ( hskp17
          | hskp4
          | hskp12 )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c1_1(X96)
                | c2_1(X96) ) ) )
        & ( ( c0_1(a1233)
            & ndr1_0
            & c1_1(a1233)
            & ~ c2_1(a1233) )
          | ~ hskp15 )
        & ( ( c3_1(a1204)
            & c2_1(a1204)
            & c0_1(a1204)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1236)
            & c0_1(a1236)
            & ~ c3_1(a1236)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c1_1(a1216)
            & ~ c3_1(a1216)
            & ~ c2_1(a1216) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a1250)
            & c2_1(a1250)
            & ~ c0_1(a1250) ) )
        & ( hskp1
          | hskp2
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c0_1(X10)
                | c1_1(X10) ) ) )
        & ( ( ~ c3_1(a1247)
            & ndr1_0
            & ~ c2_1(a1247)
            & c1_1(a1247) )
          | ~ hskp19 )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c1_1(a1229)
            & c2_1(a1229)
            & c0_1(a1229) ) )
        & ( hskp23
          | hskp18
          | hskp14 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | hskp10 )
        & ( ~ hskp24
          | ( ~ c2_1(a1267)
            & ndr1_0
            & ~ c1_1(a1267)
            & c0_1(a1267) ) )
        & ( ( c1_1(a1213)
            & ndr1_0
            & c2_1(a1213)
            & c3_1(a1213) )
          | ~ hskp27 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | c3_1(X94) ) )
          | hskp0
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c2_1(X93)
                | ~ c1_1(X93) ) ) )
        & ( hskp28
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c3_1(X48)
                | ~ c2_1(X48) ) )
          | hskp9
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c0_1(X60)
                | ~ c2_1(X60) ) )
          | hskp1 )
        & ( hskp19
          | hskp14
          | hskp24 )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a1232)
            & ~ c0_1(a1232)
            & ~ c2_1(a1232) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) ) )
        & ( hskp6
          | hskp13
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c0_1(X56)
                | c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | ~ c3_1(X57) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( ( ~ c0_1(a1207)
            & ~ c2_1(a1207)
            & ndr1_0
            & ~ c1_1(a1207) )
          | ~ hskp2 )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c0_1(X44)
                | c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c1_1(X45)
                | c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) ) )
        & ( ~ hskp6
          | ( c1_1(a1215)
            & ndr1_0
            & c2_1(a1215)
            & ~ c3_1(a1215) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp6
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp5
          | hskp17
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c1_1(X78)
                | c3_1(X78) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a1259)
            & ~ c3_1(a1259)
            & c0_1(a1259) )
          | ~ hskp22 )
        & ( hskp28
          | hskp24
          | hskp26 )
        & ( hskp19
          | hskp20
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) ) )
        & ( hskp19
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) ) )
        & ( ~ hskp18
          | ( c3_1(a1246)
            & ndr1_0
            & c2_1(a1246)
            & ~ c1_1(a1246) ) )
        & ( hskp2
          | hskp27
          | hskp19 )
        & ( hskp25
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | hskp16
          | hskp1 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp23
          | hskp0 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | hskp27
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c0_1(X30)
                | c3_1(X30) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c2_1(X4)
                | c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c0_1(X3)
                | c2_1(X3) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | hskp25
          | hskp0 )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c0_1(X1)
                | c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c0_1(X0)
                | c2_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c3_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp7
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp2 )
        & ( hskp7
          | hskp4
          | hskp18 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c0_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c3_1(X18)
                | c1_1(X18) ) )
          | hskp3 )
        & ( hskp13
          | hskp14
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c1_1(X84)
                | c3_1(X84) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | ~ c3_1(X28)
                | c1_1(X28) ) )
          | hskp5
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( ( ndr1_0
            & c3_1(a1257)
            & ~ c1_1(a1257)
            & ~ c0_1(a1257) )
          | ~ hskp21 )
        & ( ~ hskp12
          | ( c3_1(a1228)
            & c0_1(a1228)
            & ~ c2_1(a1228)
            & ndr1_0 ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) )
          | hskp10 )
        & ( ~ hskp4
          | ( ~ c0_1(a1211)
            & c1_1(a1211)
            & ndr1_0
            & ~ c2_1(a1211) ) )
        & ( hskp8
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c2_1(X100)
                | ~ c1_1(X100) ) )
          | hskp11 )
        & ( ~ hskp3
          | ( c1_1(a1210)
            & ndr1_0
            & c0_1(a1210)
            & ~ c3_1(a1210) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c2_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c3_1(X25)
                | c1_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | hskp4
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp16
          | hskp23
          | hskp20 )
        & ( hskp22
          | hskp6
          | hskp7 )
        & ( ( ~ c0_1(a1212)
            & ~ c3_1(a1212)
            & c2_1(a1212)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c3_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( hskp25
          | hskp21 )
        & ( hskp4
          | hskp15
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp13
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | hskp22 )
        & ( hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a1261)
            & ~ c3_1(a1261)
            & ~ c0_1(a1261) )
          | ~ hskp23 )
        & ( hskp0
          | hskp21
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c3_1(X103) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c1_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c2_1(X75)
                | ~ c0_1(X75) ) )
          | hskp14 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | c1_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | hskp26 )
        & ( ( ~ c2_1(a1224)
            & ndr1_0
            & c3_1(a1224)
            & c1_1(a1224) )
          | ~ hskp11 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | hskp12
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ( c2_1(a1219)
            & c1_1(a1219)
            & ~ c0_1(a1219)
            & ndr1_0 )
          | ~ hskp9 )
        & ( hskp12
          | hskp13
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c1_1(X68)
                | c3_1(X68) ) ) )
        & ( ~ hskp26
          | ( c2_1(a1208)
            & c1_1(a1208)
            & ndr1_0
            & c0_1(a1208) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) ) )
        & ( hskp18
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c1_1(X87)
                | ~ c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c0_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c1_1(X42)
                | ~ c3_1(X42) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c0_1(X36)
                | c3_1(X36) ) )
          | hskp6
          | hskp7 )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c0_1(X37)
                | c2_1(X37) ) )
          | hskp8
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( hskp14
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c1_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ~ hskp17
          | ( c0_1(a1237)
            & ndr1_0
            & ~ c1_1(a1237)
            & c3_1(a1237) ) )
        & ( ~ hskp1
          | ( c0_1(a1206)
            & ndr1_0
            & ~ c3_1(a1206)
            & c2_1(a1206) ) )
        & ( hskp25
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c0_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( hskp18
          | hskp10
          | hskp2 )
        & ( ~ hskp8
          | ( ~ c3_1(a1217)
            & ndr1_0
            & ~ c1_1(a1217)
            & ~ c0_1(a1217) ) )
        & ( hskp8
          | hskp6
          | hskp22 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | c3_1(X52) ) )
          | hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp10
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | c2_1(X98)
              | ~ c1_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) ) )
      & ( hskp5
        | hskp6
        | hskp15 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c3_1(X64)
              | ~ c1_1(X64) ) )
        | hskp11
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c1_1(X65)
              | c3_1(X65) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c3_1(X21)
              | c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c0_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ( ~ c1_1(a1205)
          & ndr1_0
          & ~ c0_1(a1205)
          & c2_1(a1205) )
        | ~ hskp0 )
      & ( hskp26
        | hskp1
        | hskp25 )
      & ( ~ hskp28
        | ( c1_1(a1214)
          & c0_1(a1214)
          & c3_1(a1214)
          & ndr1_0 ) )
      & ( ( ~ c1_1(a1223)
          & ndr1_0
          & ~ c3_1(a1223)
          & c2_1(a1223) )
        | ~ hskp10 )
      & ( hskp3
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c3_1(X63)
              | c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | ~ c2_1(X7)
              | c0_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c3_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | c2_1(X101)
              | ~ c0_1(X101) ) )
        | hskp3
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | ~ c3_1(X102) ) ) )
      & ( hskp0
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | c0_1(X51)
              | ~ c1_1(X51) ) )
        | hskp27 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | ~ c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c0_1(X107)
              | ~ c2_1(X107) ) )
        | hskp1 )
      & ( hskp9
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c2_1(X79)
              | c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp3
        | hskp24
        | hskp7 )
      & ( hskp17
        | hskp4
        | hskp12 )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c1_1(X96)
              | c2_1(X96) ) ) )
      & ( ( c0_1(a1233)
          & ndr1_0
          & c1_1(a1233)
          & ~ c2_1(a1233) )
        | ~ hskp15 )
      & ( ( c3_1(a1204)
          & c2_1(a1204)
          & c0_1(a1204)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a1236)
          & c0_1(a1236)
          & ~ c3_1(a1236)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ c1_1(a1216)
          & ~ c3_1(a1216)
          & ~ c2_1(a1216) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c3_1(a1250)
          & c2_1(a1250)
          & ~ c0_1(a1250) ) )
      & ( hskp1
        | hskp2
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c0_1(X10)
              | c1_1(X10) ) ) )
      & ( ( ~ c3_1(a1247)
          & ndr1_0
          & ~ c2_1(a1247)
          & c1_1(a1247) )
        | ~ hskp19 )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c1_1(a1229)
          & c2_1(a1229)
          & c0_1(a1229) ) )
      & ( hskp23
        | hskp18
        | hskp14 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) )
        | hskp10 )
      & ( ~ hskp24
        | ( ~ c2_1(a1267)
          & ndr1_0
          & ~ c1_1(a1267)
          & c0_1(a1267) ) )
      & ( ( c1_1(a1213)
          & ndr1_0
          & c2_1(a1213)
          & c3_1(a1213) )
        | ~ hskp27 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c1_1(X94)
              | c3_1(X94) ) )
        | hskp0
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | c2_1(X93)
              | ~ c1_1(X93) ) ) )
      & ( hskp28
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c3_1(X48)
              | ~ c2_1(X48) ) )
        | hskp9
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c0_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c0_1(X60)
              | ~ c2_1(X60) ) )
        | hskp1 )
      & ( hskp19
        | hskp14
        | hskp24 )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a1232)
          & ~ c0_1(a1232)
          & ~ c2_1(a1232) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) ) )
      & ( hskp6
        | hskp13
        | ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c2_1(X83) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | ~ c1_1(X58) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c0_1(X56)
              | c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c0_1(X57)
              | ~ c3_1(X57) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | ~ c0_1(X91)
              | c2_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( ( ~ c0_1(a1207)
          & ~ c2_1(a1207)
          & ndr1_0
          & ~ c1_1(a1207) )
        | ~ hskp2 )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c0_1(X44)
              | c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | c1_1(X45)
              | c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c2_1(X46)
              | ~ c0_1(X46) ) ) )
      & ( ~ hskp6
        | ( c1_1(a1215)
          & ndr1_0
          & c2_1(a1215)
          & ~ c3_1(a1215) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp6
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp5
        | hskp17
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c1_1(X78)
              | c3_1(X78) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a1259)
          & ~ c3_1(a1259)
          & c0_1(a1259) )
        | ~ hskp22 )
      & ( hskp28
        | hskp24
        | hskp26 )
      & ( hskp19
        | hskp20
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) ) )
      & ( hskp19
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | c1_1(X89)
              | ~ c3_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) ) )
      & ( ~ hskp18
        | ( c3_1(a1246)
          & ndr1_0
          & c2_1(a1246)
          & ~ c1_1(a1246) ) )
      & ( hskp2
        | hskp27
        | hskp19 )
      & ( hskp25
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c3_1(X40)
              | c1_1(X40) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) )
        | hskp16
        | hskp1 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c2_1(X105) ) )
        | hskp23
        | hskp0 )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | ~ c0_1(X31)
              | c2_1(X31) ) )
        | hskp27
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c0_1(X30)
              | c3_1(X30) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | ~ c2_1(X4)
              | c0_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c0_1(X3)
              | c2_1(X3) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | hskp25
        | hskp0 )
      & ( ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c0_1(X1)
              | c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c0_1(X0)
              | c2_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | c3_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp7
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp2 )
      & ( hskp7
        | hskp4
        | hskp18 )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c0_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | ~ c3_1(X18)
              | c1_1(X18) ) )
        | hskp3 )
      & ( hskp13
        | hskp14
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c1_1(X84)
              | c3_1(X84) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | ~ c3_1(X28)
              | c1_1(X28) ) )
        | hskp5
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | ~ c3_1(X29) ) ) )
      & ( ( ndr1_0
          & c3_1(a1257)
          & ~ c1_1(a1257)
          & ~ c0_1(a1257) )
        | ~ hskp21 )
      & ( ~ hskp12
        | ( c3_1(a1228)
          & c0_1(a1228)
          & ~ c2_1(a1228)
          & ndr1_0 ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | ~ c2_1(X54)
              | c0_1(X54) ) )
        | hskp10 )
      & ( ~ hskp4
        | ( ~ c0_1(a1211)
          & c1_1(a1211)
          & ndr1_0
          & ~ c2_1(a1211) ) )
      & ( hskp8
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c2_1(X100)
              | ~ c1_1(X100) ) )
        | hskp11 )
      & ( ~ hskp3
        | ( c1_1(a1210)
          & ndr1_0
          & c0_1(a1210)
          & ~ c3_1(a1210) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c2_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c3_1(X25)
              | c1_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | hskp4
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c0_1(X23)
              | c1_1(X23) ) ) )
      & ( hskp16
        | hskp23
        | hskp20 )
      & ( hskp22
        | hskp6
        | hskp7 )
      & ( ( ~ c0_1(a1212)
          & ~ c3_1(a1212)
          & c2_1(a1212)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c0_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c3_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( hskp25
        | hskp21 )
      & ( hskp4
        | hskp15
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp13
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | hskp22 )
      & ( hskp11
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a1261)
          & ~ c3_1(a1261)
          & ~ c0_1(a1261) )
        | ~ hskp23 )
      & ( hskp0
        | hskp21
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | c3_1(X103) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c1_1(X74)
              | c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c2_1(X75)
              | ~ c0_1(X75) ) )
        | hskp14 )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | c1_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | hskp26 )
      & ( ( ~ c2_1(a1224)
          & ndr1_0
          & c3_1(a1224)
          & c1_1(a1224) )
        | ~ hskp11 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | hskp12
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) ) )
      & ( ( c2_1(a1219)
          & c1_1(a1219)
          & ~ c0_1(a1219)
          & ndr1_0 )
        | ~ hskp9 )
      & ( hskp12
        | hskp13
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c1_1(X68)
              | c3_1(X68) ) ) )
      & ( ~ hskp26
        | ( c2_1(a1208)
          & c1_1(a1208)
          & ndr1_0
          & c0_1(a1208) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) ) )
      & ( hskp18
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | c1_1(X87)
              | ~ c2_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c1_1(X88)
              | c3_1(X88) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c0_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c1_1(X42)
              | ~ c3_1(X42) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c0_1(X36)
              | c3_1(X36) ) )
        | hskp6
        | hskp7 )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c0_1(X37)
              | c2_1(X37) ) )
        | hskp8
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( hskp14
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | c1_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c1_1(X82)
              | ~ c3_1(X82) ) ) )
      & ( ~ hskp17
        | ( c0_1(a1237)
          & ndr1_0
          & ~ c1_1(a1237)
          & c3_1(a1237) ) )
      & ( ~ hskp1
        | ( c0_1(a1206)
          & ndr1_0
          & ~ c3_1(a1206)
          & c2_1(a1206) ) )
      & ( hskp25
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | c0_1(X16)
              | ~ c2_1(X16) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | ~ c1_1(X33) ) ) )
      & ( hskp18
        | hskp10
        | hskp2 )
      & ( ~ hskp8
        | ( ~ c3_1(a1217)
          & ndr1_0
          & ~ c1_1(a1217)
          & ~ c0_1(a1217) ) )
      & ( hskp8
        | hskp6
        | hskp22 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c2_1(X52)
              | c3_1(X52) ) )
        | hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f936,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_72
    | spl0_68 ),
    inference(avatar_split_clause,[],[f7,f497,f514,f323,f205]) ).

fof(f205,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f323,plain,
    ( spl0_30
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f7,plain,
    ! [X83,X84] :
      ( ~ c0_1(X84)
      | c2_1(X83)
      | ~ c2_1(X84)
      | ~ c0_1(X83)
      | hskp14
      | ~ ndr1_0
      | c3_1(X84)
      | c1_1(X83) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( spl0_34
    | ~ spl0_3
    | spl0_89 ),
    inference(avatar_split_clause,[],[f22,f592,f205,f340]) ).

fof(f340,plain,
    ( spl0_34
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f22,plain,
    ! [X26] :
      ( c2_1(X26)
      | ~ ndr1_0
      | c0_1(X26)
      | c3_1(X26)
      | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_146
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f121,f442,f925]) ).

fof(f442,plain,
    ( spl0_55
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f121,plain,
    ( ~ hskp15
    | ~ c2_1(a1233) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( spl0_145
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f124,f442,f919]) ).

fof(f124,plain,
    ( ~ hskp15
    | c0_1(a1233) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_36
    | spl0_144 ),
    inference(avatar_split_clause,[],[f84,f914,f350]) ).

fof(f350,plain,
    ( spl0_36
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f84,plain,
    ( c2_1(a1219)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_143
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f94,f323,f908]) ).

fof(f94,plain,
    ( ~ hskp14
    | ~ c0_1(a1232) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( spl0_3
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f107,f295,f205]) ).

fof(f295,plain,
    ( spl0_24
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f107,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_3
    | spl0_61
    | spl0_60 ),
    inference(avatar_split_clause,[],[f16,f463,f467,f205]) ).

fof(f16,plain,
    ! [X90,X91] :
      ( c3_1(X90)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | ~ c1_1(X91)
      | ~ c3_1(X91)
      | c0_1(X90) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_10
    | spl0_142 ),
    inference(avatar_split_clause,[],[f144,f900,f233]) ).

fof(f233,plain,
    ( spl0_10
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f144,plain,
    ( c2_1(a1208)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f892,plain,
    ( ~ spl0_55
    | spl0_3 ),
    inference(avatar_split_clause,[],[f123,f205,f442]) ).

fof(f123,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_140
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f70,f437,f886]) ).

fof(f437,plain,
    ( spl0_54
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f70,plain,
    ( ~ hskp24
    | ~ c1_1(a1267) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( spl0_139
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f128,f340,f881]) ).

fof(f128,plain,
    ( ~ hskp28
    | c1_1(a1214) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( spl0_50
    | ~ spl0_3
    | spl0_69
    | spl0_72 ),
    inference(avatar_split_clause,[],[f25,f514,f500,f205,f417]) ).

fof(f25,plain,
    ! [X56,X57,X55] :
      ( c1_1(X56)
      | c2_1(X56)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c0_1(X57)
      | c2_1(X57)
      | c1_1(X57)
      | c0_1(X55)
      | ~ c0_1(X56)
      | c3_1(X55) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_2
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f114,f869,f200]) ).

fof(f200,plain,
    ( spl0_2
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f114,plain,
    ( ~ c3_1(a1216)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_135
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f113,f200,f859]) ).

fof(f113,plain,
    ( ~ hskp7
    | ~ c2_1(a1216) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_134
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f149,f533,f854]) ).

fof(f149,plain,
    ( ~ hskp23
    | ~ c0_1(a1261) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f852,plain,
    ( ~ spl0_133
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f80,f698,f849]) ).

fof(f698,plain,
    ( spl0_109
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f80,plain,
    ( ~ hskp5
    | ~ c0_1(a1212) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_132
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f101,f446,f844]) ).

fof(f446,plain,
    ( spl0_56
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f101,plain,
    ( ~ hskp4
    | ~ c2_1(a1211) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_4
    | spl0_131 ),
    inference(avatar_split_clause,[],[f156,f838,f209]) ).

fof(f209,plain,
    ( spl0_4
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f156,plain,
    ( c1_1(a1210)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_51
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f140,f833,f420]) ).

fof(f420,plain,
    ( spl0_51
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f140,plain,
    ( ~ c1_1(a1205)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_65
    | spl0_129 ),
    inference(avatar_split_clause,[],[f131,f828,f481]) ).

fof(f481,plain,
    ( spl0_65
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f131,plain,
    ( c0_1(a1228)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_3
    | spl0_36
    | spl0_64
    | spl0_31 ),
    inference(avatar_split_clause,[],[f46,f327,f477,f350,f205]) ).

fof(f46,plain,
    ! [X18,X17] :
      ( c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ c3_1(X18)
      | c1_1(X18)
      | ~ c0_1(X18)
      | hskp9
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( spl0_77
    | spl0_51
    | spl0_18
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f52,f205,f270,f420,f533]) ).

fof(f52,plain,
    ! [X52] :
      ( ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | hskp0
      | ~ c0_1(X52)
      | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_5
    | spl0_82 ),
    inference(avatar_split_clause,[],[f24,f558,f213,f205,f209]) ).

fof(f24,plain,
    ! [X63,X64] :
      ( c1_1(X64)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp3
      | c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X64)
      | c0_1(X64) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_128
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f160,f276,f817]) ).

fof(f276,plain,
    ( spl0_20
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f160,plain,
    ( ~ hskp8
    | ~ c3_1(a1217) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_127
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f79,f698,f812]) ).

fof(f79,plain,
    ( ~ hskp5
    | ~ c3_1(a1212) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( spl0_67
    | ~ spl0_3
    | spl0_62
    | spl0_19 ),
    inference(avatar_split_clause,[],[f28,f273,f470,f205,f493]) ).

fof(f493,plain,
    ( spl0_67
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( spl0_11
    | spl0_65
    | spl0_56 ),
    inference(avatar_split_clause,[],[f191,f446,f481,f238]) ).

fof(f238,plain,
    ( spl0_11
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f191,plain,
    ( hskp4
    | hskp12
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( spl0_125
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f99,f256,f795]) ).

fof(f256,plain,
    ( spl0_15
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f99,plain,
    ( ~ hskp25
    | c2_1(a1204) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_124
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f130,f481,f789]) ).

fof(f130,plain,
    ( ~ hskp12
    | ~ c2_1(a1228) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f785,plain,
    ( spl0_123
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f117,f238,f782]) ).

fof(f117,plain,
    ( ~ hskp17
    | c3_1(a1237) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( spl0_40
    | spl0_19
    | ~ spl0_3
    | spl0_89 ),
    inference(avatar_split_clause,[],[f55,f592,f205,f273,f369]) ).

fof(f369,plain,
    ( spl0_40
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f55,plain,
    ! [X54,X53] :
      ( c3_1(X54)
      | ~ ndr1_0
      | c0_1(X54)
      | c2_1(X54)
      | ~ c1_1(X53)
      | hskp27
      | c2_1(X53)
      | ~ c0_1(X53) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_122
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f176,f308,f774]) ).

fof(f308,plain,
    ( spl0_27
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f176,plain,
    ( ~ hskp2
    | ~ c0_1(a1207) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_67
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f86,f769,f493]) ).

fof(f86,plain,
    ( ~ c3_1(a1223)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( spl0_119
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f137,f420,f760]) ).

fof(f137,plain,
    ( ~ hskp0
    | c2_1(a1205) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f753,plain,
    ( spl0_109
    | spl0_83
    | ~ spl0_3
    | spl0_82 ),
    inference(avatar_split_clause,[],[f35,f558,f205,f561,f698]) ).

fof(f35,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | ~ c3_1(X67)
      | hskp5
      | ~ c3_1(X66)
      | ~ c0_1(X67)
      | c0_1(X66) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_117
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f169,f363,f749]) ).

fof(f363,plain,
    ( spl0_39
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f169,plain,
    ( ~ hskp21
    | ~ c0_1(a1257) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( spl0_27
    | ~ spl0_3
    | spl0_2
    | spl0_83 ),
    inference(avatar_split_clause,[],[f54,f561,f200,f205,f308]) ).

fof(f54,plain,
    ! [X62] :
      ( ~ c1_1(X62)
      | hskp7
      | ~ c0_1(X62)
      | ~ ndr1_0
      | hskp2
      | ~ c3_1(X62) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_109
    | spl0_3 ),
    inference(avatar_split_clause,[],[f77,f205,f698]) ).

fof(f77,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_65
    | spl0_116 ),
    inference(avatar_split_clause,[],[f132,f738,f481]) ).

fof(f132,plain,
    ( c3_1(a1228)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_34
    | spl0_114 ),
    inference(avatar_split_clause,[],[f126,f727,f340]) ).

fof(f126,plain,
    ( c3_1(a1214)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( spl0_34
    | spl0_10
    | spl0_54 ),
    inference(avatar_split_clause,[],[f184,f437,f233,f340]) ).

fof(f184,plain,
    ( hskp24
    | hskp26
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( spl0_53
    | spl0_57
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f11,f400,f205,f450,f431]) ).

fof(f431,plain,
    ( spl0_53
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f400,plain,
    ( spl0_46
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f11,plain,
    ! [X51] :
      ( hskp1
      | ~ ndr1_0
      | c1_1(X51)
      | hskp16
      | c2_1(X51)
      | ~ c3_1(X51) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( spl0_113
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f103,f446,f719]) ).

fof(f103,plain,
    ( ~ hskp4
    | c1_1(a1211) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( spl0_51
    | spl0_39
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f31,f454,f205,f363,f420]) ).

fof(f31,plain,
    ! [X82] :
      ( ~ c2_1(X82)
      | c3_1(X82)
      | ~ ndr1_0
      | hskp21
      | hskp0
      | ~ c1_1(X82) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl0_39
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f170,f713,f363]) ).

fof(f170,plain,
    ( ~ c1_1(a1257)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( spl0_55
    | spl0_24
    | spl0_109 ),
    inference(avatar_split_clause,[],[f187,f698,f295,f442]) ).

fof(f187,plain,
    ( hskp5
    | hskp6
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f710,plain,
    ( ~ spl0_10
    | spl0_111 ),
    inference(avatar_split_clause,[],[f143,f707,f233]) ).

fof(f143,plain,
    ( c1_1(a1208)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f705,plain,
    ( ~ spl0_109
    | spl0_110 ),
    inference(avatar_split_clause,[],[f78,f702,f698]) ).

fof(f78,plain,
    ( c2_1(a1212)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f692,plain,
    ( spl0_108
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f154,f209,f689]) ).

fof(f154,plain,
    ( ~ hskp3
    | c0_1(a1210) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_40
    | spl0_107 ),
    inference(avatar_split_clause,[],[f133,f683,f369]) ).

fof(f133,plain,
    ( c3_1(a1213)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_106
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f104,f446,f678]) ).

fof(f104,plain,
    ( ~ hskp4
    | ~ c0_1(a1211) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_102
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f118,f238,f662]) ).

fof(f118,plain,
    ( ~ hskp17
    | ~ c1_1(a1237) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f660,plain,
    ( spl0_89
    | spl0_58
    | ~ spl0_3
    | spl0_83 ),
    inference(avatar_split_clause,[],[f39,f561,f205,f454,f592]) ).

fof(f39,plain,
    ! [X106,X104,X105] :
      ( ~ c1_1(X105)
      | ~ ndr1_0
      | ~ c2_1(X106)
      | ~ c0_1(X105)
      | c3_1(X104)
      | ~ c1_1(X106)
      | c3_1(X106)
      | c2_1(X104)
      | ~ c3_1(X105)
      | c0_1(X104) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( spl0_83
    | ~ spl0_3
    | spl0_61
    | spl0_69 ),
    inference(avatar_split_clause,[],[f10,f500,f467,f205,f561]) ).

fof(f10,plain,
    ! [X36,X37,X35] :
      ( c3_1(X36)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | ~ c2_1(X36)
      | ~ c3_1(X37)
      | c0_1(X36)
      | ~ c3_1(X35) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f657,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_69 ),
    inference(avatar_split_clause,[],[f47,f500,f224,f205]) ).

fof(f224,plain,
    ( spl0_8
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f47,plain,
    ! [X81] :
      ( c0_1(X81)
      | ~ c2_1(X81)
      | hskp11
      | c3_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( spl0_101
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f95,f323,f653]) ).

fof(f95,plain,
    ( ~ hskp14
    | c3_1(a1232) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_8
    | spl0_100 ),
    inference(avatar_split_clause,[],[f146,f648,f224]) ).

fof(f146,plain,
    ( c3_1(a1224)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_99
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f88,f493,f642]) ).

fof(f88,plain,
    ( ~ hskp10
    | ~ c1_1(a1223) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_55
    | spl0_98 ),
    inference(avatar_split_clause,[],[f122,f636,f442]) ).

fof(f122,plain,
    ( c1_1(a1233)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f629,plain,
    ( ~ spl0_40
    | spl0_96 ),
    inference(avatar_split_clause,[],[f136,f626,f369]) ).

fof(f136,plain,
    ( c1_1(a1213)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f614,plain,
    ( ~ spl0_93
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f138,f420,f611]) ).

fof(f138,plain,
    ( ~ hskp0
    | ~ c0_1(a1205) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f609,plain,
    ( ~ spl0_92
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f157,f276,f606]) ).

fof(f157,plain,
    ( ~ hskp8
    | ~ c0_1(a1217) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f604,plain,
    ( ~ spl0_53
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f168,f601,f431]) ).

fof(f168,plain,
    ( ~ c1_1(a1236)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_90
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f72,f437,f596]) ).

fof(f72,plain,
    ( ~ hskp24
    | ~ c2_1(a1267) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( spl0_30
    | spl0_49
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f19,f327,f205,f413,f323]) ).

fof(f19,plain,
    ! [X101,X100] :
      ( c3_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X101)
      | c1_1(X100)
      | c2_1(X101)
      | ~ c2_1(X100)
      | ~ c1_1(X101)
      | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_46
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f74,f580,f400]) ).

fof(f74,plain,
    ( ~ c3_1(a1206)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( spl0_86
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f134,f369,f575]) ).

fof(f134,plain,
    ( ~ hskp27
    | c2_1(a1213) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_46
    | spl0_85 ),
    inference(avatar_split_clause,[],[f76,f570,f400]) ).

fof(f76,plain,
    ( c0_1(a1206)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_54
    | spl0_84 ),
    inference(avatar_split_clause,[],[f69,f565,f437]) ).

fof(f69,plain,
    ( c0_1(a1267)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_3
    | spl0_82
    | spl0_68
    | spl0_83 ),
    inference(avatar_split_clause,[],[f12,f561,f497,f558,f205]) ).

fof(f12,plain,
    ! [X72,X73,X71] :
      ( ~ c1_1(X71)
      | c3_1(X72)
      | ~ c3_1(X71)
      | c1_1(X73)
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c0_1(X73)
      | ~ c3_1(X73)
      | ~ c0_1(X71) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( ~ spl0_67
    | spl0_81 ),
    inference(avatar_split_clause,[],[f85,f553,f493]) ).

fof(f85,plain,
    ( c2_1(a1223)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_22
    | spl0_80 ),
    inference(avatar_split_clause,[],[f50,f549,f286,f273,f205]) ).

fof(f286,plain,
    ( spl0_22
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f50,plain,
    ! [X48,X47] :
      ( ~ c2_1(X47)
      | hskp19
      | ~ c3_1(X47)
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | c1_1(X47)
      | ~ c1_1(X48) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( spl0_78
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f109,f286,f538]) ).

fof(f109,plain,
    ( ~ hskp19
    | c1_1(a1247) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( ~ spl0_76
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f151,f533,f529]) ).

fof(f151,plain,
    ( ~ hskp23
    | ~ c2_1(a1261) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f527,plain,
    ( ~ spl0_53
    | spl0_75 ),
    inference(avatar_split_clause,[],[f167,f524,f431]) ).

fof(f167,plain,
    ( c0_1(a1236)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_72
    | spl0_73
    | spl0_74
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f51,f205,f520,f517,f514]) ).

fof(f51,plain,
    ! [X31,X32,X33] :
      ( ~ ndr1_0
      | ~ c1_1(X32)
      | ~ c1_1(X31)
      | ~ c0_1(X33)
      | ~ c0_1(X32)
      | c3_1(X31)
      | c2_1(X31)
      | c2_1(X33)
      | c3_1(X32)
      | c1_1(X33) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( ~ spl0_70
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f93,f323,f504]) ).

fof(f93,plain,
    ( ~ hskp14
    | ~ c2_1(a1232) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( ~ spl0_3
    | spl0_67
    | spl0_68
    | spl0_69 ),
    inference(avatar_split_clause,[],[f60,f500,f497,f493,f205]) ).

fof(f60,plain,
    ! [X68,X69] :
      ( c3_1(X69)
      | ~ c0_1(X68)
      | hskp10
      | c3_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | ~ c2_1(X69)
      | c0_1(X69) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_15
    | spl0_66 ),
    inference(avatar_split_clause,[],[f100,f486,f256]) ).

fof(f100,plain,
    ( c3_1(a1204)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_63
    | spl0_50
    | ~ spl0_3
    | spl0_64 ),
    inference(avatar_split_clause,[],[f59,f477,f205,f417,f474]) ).

fof(f59,plain,
    ! [X10,X11,X9] :
      ( ~ c3_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | c1_1(X10)
      | ~ c2_1(X9)
      | c0_1(X9)
      | ~ c0_1(X10)
      | ~ c1_1(X9)
      | c0_1(X11)
      | c1_1(X11) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( ~ spl0_4
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f153,f458,f209]) ).

fof(f153,plain,
    ( ~ c3_1(a1210)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( ~ spl0_3
    | spl0_55
    | spl0_56
    | spl0_57 ),
    inference(avatar_split_clause,[],[f42,f450,f446,f442,f205]) ).

fof(f42,plain,
    ! [X79] :
      ( c1_1(X79)
      | ~ c3_1(X79)
      | hskp4
      | hskp15
      | ~ ndr1_0
      | c2_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_54
    | spl0_22
    | spl0_30 ),
    inference(avatar_split_clause,[],[f189,f323,f286,f437]) ).

fof(f189,plain,
    ( hskp14
    | hskp19
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f166,f431,f427]) ).

fof(f166,plain,
    ( ~ hskp16
    | ~ c3_1(a1236) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f424,plain,
    ( spl0_15
    | spl0_39 ),
    inference(avatar_split_clause,[],[f186,f363,f256]) ).

fof(f186,plain,
    ( hskp21
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f415,plain,
    ( ~ spl0_3
    | spl0_48
    | spl0_49
    | spl0_18 ),
    inference(avatar_split_clause,[],[f32,f270,f413,f410,f205]) ).

fof(f32,plain,
    ! [X96,X94,X95] :
      ( ~ c0_1(X94)
      | ~ c3_1(X96)
      | c2_1(X95)
      | ~ c1_1(X96)
      | c0_1(X95)
      | ~ c3_1(X95)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X94)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f73,f400,f396]) ).

fof(f73,plain,
    ( ~ hskp1
    | c2_1(a1206) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( ~ spl0_24
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f105,f390,f295]) ).

fof(f105,plain,
    ( ~ c3_1(a1215)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f388,plain,
    ( ~ spl0_22
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f112,f385,f286]) ).

fof(f112,plain,
    ( ~ c3_1(a1247)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( ~ spl0_36
    | spl0_42 ),
    inference(avatar_split_clause,[],[f83,f380,f350]) ).

fof(f83,plain,
    ( c1_1(a1219)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f377,plain,
    ( ~ spl0_41
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f148,f224,f374]) ).

fof(f148,plain,
    ( ~ hskp11
    | ~ c2_1(a1224) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f372,plain,
    ( spl0_27
    | spl0_22
    | spl0_40 ),
    inference(avatar_split_clause,[],[f182,f369,f286,f308]) ).

fof(f182,plain,
    ( hskp27
    | hskp19
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f171,f363,f359]) ).

fof(f171,plain,
    ( ~ hskp21
    | c3_1(a1257) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f357,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f82,f354,f350]) ).

fof(f82,plain,
    ( ~ c0_1(a1219)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f343,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f127,f340,f336]) ).

fof(f127,plain,
    ( ~ hskp28
    | c0_1(a1214) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f334,plain,
    ( ~ spl0_27
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f175,f331,f308]) ).

fof(f175,plain,
    ( ~ c2_1(a1207)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f316,plain,
    ( spl0_28
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f108,f295,f313]) ).

fof(f108,plain,
    ( ~ hskp6
    | c1_1(a1215) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f311,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f173,f308,f304]) ).

fof(f173,plain,
    ( ~ hskp2
    | ~ c1_1(a1207) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f106,f299,f295]) ).

fof(f106,plain,
    ( c2_1(a1215)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f110,f290,f286]) ).

fof(f110,plain,
    ( ~ c2_1(a1247)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    ( spl0_21
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f120,f238,f281]) ).

fof(f120,plain,
    ( ~ hskp17
    | c0_1(a1237) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f279,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f58,f276,f273,f270,f205]) ).

fof(f58,plain,
    ! [X19,X20] :
      ( hskp8
      | c2_1(X20)
      | ~ c2_1(X19)
      | ~ c0_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | ~ c0_1(X19)
      | ~ c1_1(X19) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f259,plain,
    ( spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f256,f252]) ).

fof(f98,plain,
    ( ~ hskp25
    | c0_1(a1204) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f236,plain,
    ( spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f141,f233,f229]) ).

fof(f141,plain,
    ( ~ hskp26
    | c0_1(a1208) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f227,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f145,f224,f220]) ).

fof(f145,plain,
    ( ~ hskp11
    | c1_1(a1224) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f218,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f40,f216,f213,f209,f205]) ).

fof(f40,plain,
    ! [X8,X7] :
      ( ~ c1_1(X8)
      | c0_1(X8)
      | ~ c3_1(X8)
      | ~ c3_1(X7)
      | c0_1(X7)
      | ~ c2_1(X7)
      | hskp3
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f203,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f115,f200,f196]) ).

fof(f115,plain,
    ( ~ hskp7
    | ~ c1_1(a1216) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN477+1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:55:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (4997)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (5015)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (5007)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50  % (4998)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (5009)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (4987)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  % (5001)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (4992)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (5010)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (4993)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (4988)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (5000)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (4991)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (4989)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (4990)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (4999)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (4995)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (4995)Instruction limit reached!
% 0.19/0.53  % (4995)------------------------------
% 0.19/0.53  % (4995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4995)Termination reason: Unknown
% 0.19/0.53  % (4995)Termination phase: Preprocessing 1
% 0.19/0.53  
% 0.19/0.53  % (4995)Memory used [KB]: 1151
% 0.19/0.53  % (4995)Time elapsed: 0.003 s
% 0.19/0.53  % (4995)Instructions burned: 2 (million)
% 0.19/0.53  % (4995)------------------------------
% 0.19/0.53  % (4995)------------------------------
% 0.19/0.53  % (4996)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (5016)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (5013)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (5011)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (5012)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (5002)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54  Detected maximum model sizes of [29]
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (5014)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54  Detected maximum model sizes of [29]
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (5005)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (5003)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (4988)Refutation not found, incomplete strategy% (4988)------------------------------
% 0.19/0.54  % (4988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4988)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (4988)Memory used [KB]: 6396
% 0.19/0.54  % (4988)Time elapsed: 0.146 s
% 0.19/0.54  % (4988)Instructions burned: 17 (million)
% 0.19/0.54  % (4988)------------------------------
% 0.19/0.54  % (4988)------------------------------
% 0.19/0.55  % (5004)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55  % (5006)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (5008)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  TRYING [4]
% 0.19/0.57  Detected maximum model sizes of [29]
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 1.67/0.57  % (4994)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.67/0.57  % (4994)Instruction limit reached!
% 1.67/0.57  % (4994)------------------------------
% 1.67/0.57  % (4994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58  TRYING [4]
% 1.82/0.59  % (4998)First to succeed.
% 1.82/0.59  TRYING [3]
% 1.82/0.59  % (4989)Instruction limit reached!
% 1.82/0.59  % (4989)------------------------------
% 1.82/0.59  % (4989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59  TRYING [4]
% 1.82/0.59  % (4994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (4994)Termination reason: Unknown
% 1.82/0.59  % (4994)Termination phase: Saturation
% 1.82/0.59  
% 1.82/0.59  % (4994)Memory used [KB]: 6012
% 1.82/0.59  % (4994)Time elapsed: 0.005 s
% 1.82/0.59  % (4994)Instructions burned: 7 (million)
% 1.82/0.59  % (4994)------------------------------
% 1.82/0.59  % (4994)------------------------------
% 1.82/0.59  % (4989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (4989)Termination reason: Unknown
% 1.82/0.59  % (4989)Termination phase: Saturation
% 1.82/0.59  
% 1.82/0.59  % (4989)Memory used [KB]: 1535
% 1.82/0.59  % (4989)Time elapsed: 0.188 s
% 1.82/0.59  % (4989)Instructions burned: 39 (million)
% 1.82/0.59  % (4989)------------------------------
% 1.82/0.59  % (4989)------------------------------
% 1.82/0.60  TRYING [5]
% 1.82/0.60  % (4993)Instruction limit reached!
% 1.82/0.60  % (4993)------------------------------
% 1.82/0.60  % (4993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (4993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (4993)Termination reason: Unknown
% 1.82/0.60  % (4993)Termination phase: Finite model building constraint generation
% 1.82/0.60  
% 1.82/0.60  % (4993)Memory used [KB]: 6396
% 1.82/0.60  % (4993)Time elapsed: 0.135 s
% 1.82/0.60  % (4993)Instructions burned: 51 (million)
% 1.82/0.60  % (4993)------------------------------
% 1.82/0.60  % (4993)------------------------------
% 1.82/0.60  % (4996)Instruction limit reached!
% 1.82/0.60  % (4996)------------------------------
% 1.82/0.60  % (4996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (4996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (4996)Termination reason: Unknown
% 1.82/0.60  % (4996)Termination phase: Saturation
% 1.82/0.60  
% 1.82/0.60  % (4996)Memory used [KB]: 1535
% 1.82/0.60  % (4996)Time elapsed: 0.194 s
% 1.82/0.60  % (4996)Instructions burned: 52 (million)
% 1.82/0.60  % (4996)------------------------------
% 1.82/0.60  % (4996)------------------------------
% 1.82/0.61  % (4991)Instruction limit reached!
% 1.82/0.61  % (4991)------------------------------
% 1.82/0.61  % (4991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (4991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (4991)Termination reason: Unknown
% 1.82/0.61  % (4991)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (4991)Memory used [KB]: 7036
% 1.82/0.61  % (4991)Time elapsed: 0.219 s
% 1.82/0.61  % (4991)Instructions burned: 51 (million)
% 1.82/0.61  % (4991)------------------------------
% 1.82/0.61  % (4991)------------------------------
% 1.82/0.61  % (4997)Also succeeded, but the first one will report.
% 1.82/0.61  % (4998)Refutation found. Thanks to Tanya!
% 1.82/0.61  % SZS status Theorem for theBenchmark
% 1.82/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.62  % (4998)------------------------------
% 1.82/0.62  % (4998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (4998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (4998)Termination reason: Refutation
% 1.82/0.62  
% 1.82/0.62  % (4998)Memory used [KB]: 7164
% 1.82/0.62  % (4998)Time elapsed: 0.182 s
% 1.82/0.62  % (4998)Instructions burned: 37 (million)
% 1.82/0.62  % (4998)------------------------------
% 1.82/0.62  % (4998)------------------------------
% 1.82/0.62  % (4986)Success in time 0.266 s
%------------------------------------------------------------------------------