TSTP Solution File: SYN488+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN488+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:27:15 EDT 2022

% Result   : Theorem 2.30s 0.70s
% Output   : Refutation 2.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  178
% Syntax   : Number of formulae    :  807 (   1 unt;   0 def)
%            Number of atoms       : 7804 (   0 equ)
%            Maximal formula atoms :  722 (   9 avg)
%            Number of connectives : 10487 (3490   ~;4951   |;1421   &)
%                                         ( 177 <=>; 448  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  215 ( 214 usr; 211 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   : 1005 (1005   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2701,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f271,f285,f293,f302,f310,f319,f336,f354,f363,f374,f390,f399,f404,f422,f427,f428,f433,f454,f464,f468,f477,f485,f490,f496,f502,f507,f512,f518,f530,f535,f540,f545,f549,f555,f562,f572,f578,f583,f592,f593,f597,f602,f612,f618,f623,f629,f634,f640,f645,f650,f651,f656,f657,f663,f664,f669,f670,f675,f676,f680,f689,f695,f700,f701,f707,f713,f718,f725,f730,f731,f737,f743,f748,f755,f756,f761,f766,f769,f774,f779,f784,f786,f791,f796,f797,f802,f807,f818,f823,f828,f833,f838,f842,f847,f851,f856,f861,f866,f870,f875,f880,f885,f891,f896,f901,f906,f907,f912,f918,f920,f921,f925,f926,f927,f928,f929,f930,f936,f943,f948,f949,f954,f960,f966,f971,f976,f977,f982,f989,f994,f995,f996,f997,f998,f1003,f1005,f1011,f1012,f1022,f1027,f1032,f1034,f1038,f1039,f1044,f1045,f1046,f1051,f1161,f1183,f1251,f1266,f1267,f1280,f1338,f1341,f1344,f1357,f1358,f1360,f1400,f1439,f1441,f1442,f1473,f1501,f1567,f1598,f1601,f1637,f1664,f1668,f1701,f1824,f1839,f1901,f1910,f1917,f1919,f1937,f1939,f1944,f1947,f1950,f1951,f1954,f1971,f1996,f2020,f2040,f2043,f2047,f2065,f2067,f2073,f2090,f2097,f2115,f2118,f2123,f2132,f2154,f2186,f2208,f2211,f2220,f2236,f2259,f2260,f2271,f2286,f2288,f2296,f2297,f2321,f2346,f2355,f2356,f2380,f2383,f2404,f2408,f2410,f2427,f2428,f2445,f2446,f2448,f2466,f2469,f2471,f2478,f2509,f2512,f2522,f2526,f2532,f2534,f2560,f2561,f2564,f2580,f2582,f2616,f2618,f2621,f2622,f2646,f2648,f2660,f2687,f2689]) ).

fof(f2689,plain,
    ( ~ spl0_148
    | spl0_134
    | ~ spl0_156
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f2680,f1654,f1036,f898,f986]) ).

fof(f986,plain,
    ( spl0_148
  <=> c1_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f898,plain,
    ( spl0_134
  <=> c3_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1036,plain,
    ( spl0_156
  <=> ! [X69] :
        ( c3_1(X69)
        | ~ c2_1(X69)
        | ~ c1_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1654,plain,
    ( spl0_185
  <=> c2_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f2680,plain,
    ( c3_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_156
    | ~ spl0_185 ),
    inference(resolution,[],[f1037,f1656]) ).

fof(f1656,plain,
    ( c2_1(a2484)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1654]) ).

fof(f1037,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | c3_1(X69)
        | ~ c1_1(X69) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f2687,plain,
    ( ~ spl0_8
    | spl0_65
    | ~ spl0_145
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2673,f1036,f968,f532,f278]) ).

fof(f278,plain,
    ( spl0_8
  <=> c1_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f532,plain,
    ( spl0_65
  <=> c3_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f968,plain,
    ( spl0_145
  <=> c2_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2673,plain,
    ( c3_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_145
    | ~ spl0_156 ),
    inference(resolution,[],[f1037,f970]) ).

fof(f970,plain,
    ( c2_1(a2420)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f2660,plain,
    ( spl0_65
    | spl0_183
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2653,f687,f278,f1539,f532]) ).

fof(f1539,plain,
    ( spl0_183
  <=> c0_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f687,plain,
    ( spl0_95
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c1_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2653,plain,
    ( c0_1(a2420)
    | c3_1(a2420)
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(resolution,[],[f688,f280]) ).

fof(f280,plain,
    ( c1_1(a2420)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f688,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | c0_1(X26)
        | c3_1(X26) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f2648,plain,
    ( ~ spl0_160
    | spl0_104
    | ~ spl0_86
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2637,f678,f637,f740,f1064]) ).

fof(f1064,plain,
    ( spl0_160
  <=> c3_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f740,plain,
    ( spl0_104
  <=> c2_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f637,plain,
    ( spl0_86
  <=> c1_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f678,plain,
    ( spl0_93
  <=> ! [X55] :
        ( c2_1(X55)
        | ~ c1_1(X55)
        | ~ c3_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2637,plain,
    ( c2_1(a2412)
    | ~ c3_1(a2412)
    | ~ spl0_86
    | ~ spl0_93 ),
    inference(resolution,[],[f679,f639]) ).

fof(f639,plain,
    ( c1_1(a2412)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f679,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c3_1(X55)
        | c2_1(X55) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f2646,plain,
    ( ~ spl0_101
    | spl0_163
    | ~ spl0_93
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2639,f799,f678,f1088,f722]) ).

fof(f722,plain,
    ( spl0_101
  <=> c3_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1088,plain,
    ( spl0_163
  <=> c2_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f799,plain,
    ( spl0_114
  <=> c1_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2639,plain,
    ( c2_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_93
    | ~ spl0_114 ),
    inference(resolution,[],[f679,f801]) ).

fof(f801,plain,
    ( c1_1(a2432)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f2622,plain,
    ( spl0_99
    | spl0_121
    | ~ spl0_78
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2599,f893,f595,f835,f710]) ).

fof(f710,plain,
    ( spl0_99
  <=> c0_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f835,plain,
    ( spl0_121
  <=> c3_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f595,plain,
    ( spl0_78
  <=> ! [X47] :
        ( c2_1(X47)
        | c0_1(X47)
        | c3_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f893,plain,
    ( spl0_133
  <=> c2_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2599,plain,
    ( c3_1(a2428)
    | c0_1(a2428)
    | ~ spl0_78
    | spl0_133 ),
    inference(resolution,[],[f596,f895]) ).

fof(f895,plain,
    ( ~ c2_1(a2428)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f596,plain,
    ( ! [X47] :
        ( c2_1(X47)
        | c0_1(X47)
        | c3_1(X47) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f2621,plain,
    ( spl0_39
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2604,f595,f291,f411]) ).

fof(f411,plain,
    ( spl0_39
  <=> ! [X12] :
        ( c1_1(X12)
        | c0_1(X12)
        | c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f291,plain,
    ( spl0_11
  <=> ! [X35] :
        ( c1_1(X35)
        | ~ c2_1(X35)
        | c0_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2604,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(duplicate_literal_removal,[],[f2587]) ).

fof(f2587,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c0_1(X2)
        | c3_1(X2) )
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(resolution,[],[f596,f292]) ).

fof(f292,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | c0_1(X35)
        | c1_1(X35) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f2618,plain,
    ( spl0_142
    | spl0_168
    | ~ spl0_78
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2590,f666,f595,f1149,f951]) ).

fof(f951,plain,
    ( spl0_142
  <=> c3_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1149,plain,
    ( spl0_168
  <=> c0_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f666,plain,
    ( spl0_91
  <=> c2_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2590,plain,
    ( c0_1(a2404)
    | c3_1(a2404)
    | ~ spl0_78
    | spl0_91 ),
    inference(resolution,[],[f596,f668]) ).

fof(f668,plain,
    ( ~ c2_1(a2404)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f2616,plain,
    ( spl0_95
    | ~ spl0_77
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2606,f595,f590,f687]) ).

fof(f590,plain,
    ( spl0_77
  <=> ! [X72] :
        ( c0_1(X72)
        | ~ c2_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2606,plain,
    ( ! [X4] :
        ( c0_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_77
    | ~ spl0_78 ),
    inference(duplicate_literal_removal,[],[f2589]) ).

fof(f2589,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | c0_1(X4)
        | c0_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_77
    | ~ spl0_78 ),
    inference(resolution,[],[f596,f591]) ).

fof(f591,plain,
    ( ! [X72] :
        ( ~ c2_1(X72)
        | ~ c1_1(X72)
        | c0_1(X72) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f2582,plain,
    ( spl0_125
    | spl0_163
    | ~ spl0_62
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2572,f799,f520,f1088,f853]) ).

fof(f853,plain,
    ( spl0_125
  <=> c0_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f520,plain,
    ( spl0_62
  <=> ! [X20] :
        ( ~ c1_1(X20)
        | c2_1(X20)
        | c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2572,plain,
    ( c2_1(a2432)
    | c0_1(a2432)
    | ~ spl0_62
    | ~ spl0_114 ),
    inference(resolution,[],[f521,f801]) ).

fof(f521,plain,
    ( ! [X20] :
        ( ~ c1_1(X20)
        | c0_1(X20)
        | c2_1(X20) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f2580,plain,
    ( spl0_78
    | ~ spl0_39
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2576,f520,f411,f595]) ).

fof(f2576,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_39
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f2568]) ).

fof(f2568,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_39
    | ~ spl0_62 ),
    inference(resolution,[],[f521,f412]) ).

fof(f412,plain,
    ( ! [X12] :
        ( c1_1(X12)
        | c3_1(X12)
        | c0_1(X12) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f2564,plain,
    ( ~ spl0_111
    | spl0_85
    | ~ spl0_46
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2549,f957,f443,f631,f781]) ).

fof(f781,plain,
    ( spl0_111
  <=> c3_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f631,plain,
    ( spl0_85
  <=> c0_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f443,plain,
    ( spl0_46
  <=> ! [X31] :
        ( c0_1(X31)
        | ~ c3_1(X31)
        | ~ c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f957,plain,
    ( spl0_143
  <=> c2_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2549,plain,
    ( c0_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_46
    | ~ spl0_143 ),
    inference(resolution,[],[f444,f959]) ).

fof(f959,plain,
    ( c2_1(a2455)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f444,plain,
    ( ! [X31] :
        ( ~ c2_1(X31)
        | c0_1(X31)
        | ~ c3_1(X31) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f2561,plain,
    ( spl0_125
    | ~ spl0_101
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2546,f1088,f443,f722,f853]) ).

fof(f2546,plain,
    ( ~ c3_1(a2432)
    | c0_1(a2432)
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(resolution,[],[f444,f1090]) ).

fof(f1090,plain,
    ( c2_1(a2432)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f2560,plain,
    ( ~ spl0_171
    | spl0_137
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2542,f877,f443,f915,f1190]) ).

fof(f1190,plain,
    ( spl0_171
  <=> c3_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f915,plain,
    ( spl0_137
  <=> c0_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f877,plain,
    ( spl0_130
  <=> c2_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2542,plain,
    ( c0_1(a2413)
    | ~ c3_1(a2413)
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(resolution,[],[f444,f879]) ).

fof(f879,plain,
    ( c2_1(a2413)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f2534,plain,
    ( spl0_125
    | ~ spl0_114
    | ~ spl0_77
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2531,f1088,f590,f799,f853]) ).

fof(f2531,plain,
    ( ~ c1_1(a2432)
    | c0_1(a2432)
    | ~ spl0_77
    | ~ spl0_163 ),
    inference(resolution,[],[f1090,f591]) ).

fof(f2532,plain,
    ( ~ spl0_101
    | ~ spl0_114
    | ~ spl0_44
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2530,f1088,f435,f799,f722]) ).

fof(f435,plain,
    ( spl0_44
  <=> ! [X91] :
        ( ~ c1_1(X91)
        | ~ c2_1(X91)
        | ~ c3_1(X91) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2530,plain,
    ( ~ c1_1(a2432)
    | ~ c3_1(a2432)
    | ~ spl0_44
    | ~ spl0_163 ),
    inference(resolution,[],[f1090,f436]) ).

fof(f436,plain,
    ( ! [X91] :
        ( ~ c2_1(X91)
        | ~ c1_1(X91)
        | ~ c3_1(X91) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f2526,plain,
    ( spl0_144
    | spl0_108
    | ~ spl0_39
    | spl0_159 ),
    inference(avatar_split_clause,[],[f2501,f1054,f411,f763,f963]) ).

fof(f963,plain,
    ( spl0_144
  <=> c3_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f763,plain,
    ( spl0_108
  <=> c0_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1054,plain,
    ( spl0_159
  <=> c1_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2501,plain,
    ( c0_1(a2478)
    | c3_1(a2478)
    | ~ spl0_39
    | spl0_159 ),
    inference(resolution,[],[f412,f1055]) ).

fof(f1055,plain,
    ( ~ c1_1(a2478)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1054]) ).

fof(f2522,plain,
    ( spl0_37
    | spl0_164
    | spl0_27
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2489,f411,f360,f1094,f401]) ).

fof(f401,plain,
    ( spl0_37
  <=> c3_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1094,plain,
    ( spl0_164
  <=> c0_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f360,plain,
    ( spl0_27
  <=> c1_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2489,plain,
    ( c0_1(a2411)
    | c3_1(a2411)
    | spl0_27
    | ~ spl0_39 ),
    inference(resolution,[],[f412,f362]) ).

fof(f362,plain,
    ( ~ c1_1(a2411)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f2512,plain,
    ( spl0_78
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2505,f411,f372,f595]) ).

fof(f372,plain,
    ( spl0_30
  <=> ! [X110] :
        ( c2_1(X110)
        | ~ c1_1(X110)
        | c3_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2505,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f2481]) ).

fof(f2481,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(resolution,[],[f412,f373]) ).

fof(f373,plain,
    ( ! [X110] :
        ( ~ c1_1(X110)
        | c3_1(X110)
        | c2_1(X110) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2509,plain,
    ( spl0_137
    | spl0_171
    | ~ spl0_39
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2490,f788,f411,f1190,f915]) ).

fof(f788,plain,
    ( spl0_112
  <=> c1_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2490,plain,
    ( c3_1(a2413)
    | c0_1(a2413)
    | ~ spl0_39
    | spl0_112 ),
    inference(resolution,[],[f412,f790]) ).

fof(f790,plain,
    ( ~ c1_1(a2413)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f2478,plain,
    ( spl0_83
    | ~ spl0_167
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2458,f653,f383,f1130,f620]) ).

fof(f620,plain,
    ( spl0_83
  <=> c1_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1130,plain,
    ( spl0_167
  <=> c3_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f383,plain,
    ( spl0_33
  <=> ! [X90] :
        ( ~ c3_1(X90)
        | ~ c2_1(X90)
        | c1_1(X90) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f653,plain,
    ( spl0_89
  <=> c2_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2458,plain,
    ( ~ c3_1(a2437)
    | c1_1(a2437)
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(resolution,[],[f384,f655]) ).

fof(f655,plain,
    ( c2_1(a2437)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f384,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | c1_1(X90)
        | ~ c3_1(X90) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f2471,plain,
    ( ~ spl0_102
    | spl0_53
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2457,f830,f383,f474,f727]) ).

fof(f727,plain,
    ( spl0_102
  <=> c3_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f474,plain,
    ( spl0_53
  <=> c1_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f830,plain,
    ( spl0_120
  <=> c2_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2457,plain,
    ( c1_1(a2427)
    | ~ c3_1(a2427)
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(resolution,[],[f384,f832]) ).

fof(f832,plain,
    ( c2_1(a2427)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f2469,plain,
    ( ~ spl0_111
    | spl0_173
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2460,f957,f383,f1204,f781]) ).

fof(f1204,plain,
    ( spl0_173
  <=> c1_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f2460,plain,
    ( c1_1(a2455)
    | ~ c3_1(a2455)
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(resolution,[],[f384,f959]) ).

fof(f2466,plain,
    ( ~ spl0_171
    | spl0_112
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2454,f877,f383,f788,f1190]) ).

fof(f2454,plain,
    ( c1_1(a2413)
    | ~ c3_1(a2413)
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(resolution,[],[f384,f879]) ).

fof(f2448,plain,
    ( spl0_134
    | spl0_185
    | ~ spl0_30
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2439,f986,f372,f1654,f898]) ).

fof(f2439,plain,
    ( c2_1(a2484)
    | c3_1(a2484)
    | ~ spl0_30
    | ~ spl0_148 ),
    inference(resolution,[],[f373,f988]) ).

fof(f988,plain,
    ( c1_1(a2484)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f2446,plain,
    ( spl0_155
    | spl0_56
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f2435,f451,f372,f487,f1029]) ).

fof(f1029,plain,
    ( spl0_155
  <=> c3_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f487,plain,
    ( spl0_56
  <=> c2_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f451,plain,
    ( spl0_48
  <=> c1_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2435,plain,
    ( c2_1(a2403)
    | c3_1(a2403)
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(resolution,[],[f373,f453]) ).

fof(f453,plain,
    ( c1_1(a2403)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f2445,plain,
    ( spl0_104
    | spl0_160
    | ~ spl0_30
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2436,f637,f372,f1064,f740]) ).

fof(f2436,plain,
    ( c3_1(a2412)
    | c2_1(a2412)
    | ~ spl0_30
    | ~ spl0_86 ),
    inference(resolution,[],[f373,f639]) ).

fof(f2428,plain,
    ( spl0_125
    | ~ spl0_101
    | ~ spl0_15
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2423,f799,f308,f722,f853]) ).

fof(f308,plain,
    ( spl0_15
  <=> ! [X96] :
        ( ~ c1_1(X96)
        | c0_1(X96)
        | ~ c3_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2423,plain,
    ( ~ c3_1(a2432)
    | c0_1(a2432)
    | ~ spl0_15
    | ~ spl0_114 ),
    inference(resolution,[],[f309,f801]) ).

fof(f309,plain,
    ( ! [X96] :
        ( ~ c1_1(X96)
        | ~ c3_1(X96)
        | c0_1(X96) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f2427,plain,
    ( spl0_105
    | ~ spl0_160
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2420,f637,f308,f1064,f745]) ).

fof(f745,plain,
    ( spl0_105
  <=> c0_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2420,plain,
    ( ~ c3_1(a2412)
    | c0_1(a2412)
    | ~ spl0_15
    | ~ spl0_86 ),
    inference(resolution,[],[f309,f639]) ).

fof(f2410,plain,
    ( spl0_173
    | spl0_85
    | ~ spl0_11
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2400,f957,f291,f631,f1204]) ).

fof(f2400,plain,
    ( c0_1(a2455)
    | c1_1(a2455)
    | ~ spl0_11
    | ~ spl0_143 ),
    inference(resolution,[],[f292,f959]) ).

fof(f2408,plain,
    ( spl0_164
    | spl0_27
    | ~ spl0_11
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2392,f697,f291,f360,f1094]) ).

fof(f697,plain,
    ( spl0_97
  <=> c2_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2392,plain,
    ( c1_1(a2411)
    | c0_1(a2411)
    | ~ spl0_11
    | ~ spl0_97 ),
    inference(resolution,[],[f292,f699]) ).

fof(f699,plain,
    ( c2_1(a2411)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f2404,plain,
    ( spl0_137
    | spl0_112
    | ~ spl0_11
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2394,f877,f291,f788,f915]) ).

fof(f2394,plain,
    ( c1_1(a2413)
    | c0_1(a2413)
    | ~ spl0_11
    | ~ spl0_130 ),
    inference(resolution,[],[f292,f879]) ).

fof(f2383,plain,
    ( spl0_185
    | ~ spl0_79
    | ~ spl0_21
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2381,f986,f334,f599,f1654]) ).

fof(f599,plain,
    ( spl0_79
  <=> c0_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f334,plain,
    ( spl0_21
  <=> ! [X65] :
        ( ~ c0_1(X65)
        | c2_1(X65)
        | ~ c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2381,plain,
    ( ~ c0_1(a2484)
    | c2_1(a2484)
    | ~ spl0_21
    | ~ spl0_148 ),
    inference(resolution,[],[f988,f335]) ).

fof(f335,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c2_1(X65)
        | ~ c0_1(X65) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f2380,plain,
    ( ~ spl0_8
    | spl0_183
    | ~ spl0_77
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2378,f968,f590,f1539,f278]) ).

fof(f2378,plain,
    ( c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_77
    | ~ spl0_145 ),
    inference(resolution,[],[f970,f591]) ).

fof(f2356,plain,
    ( ~ spl0_123
    | spl0_189
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2341,f923,f872,f1964,f844]) ).

fof(f844,plain,
    ( spl0_123
  <=> c0_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1964,plain,
    ( spl0_189
  <=> c1_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f872,plain,
    ( spl0_129
  <=> c2_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f923,plain,
    ( spl0_138
  <=> ! [X38] :
        ( c1_1(X38)
        | ~ c2_1(X38)
        | ~ c0_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2341,plain,
    ( c1_1(a2409)
    | ~ c0_1(a2409)
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(resolution,[],[f924,f874]) ).

fof(f874,plain,
    ( c2_1(a2409)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f924,plain,
    ( ! [X38] :
        ( ~ c2_1(X38)
        | ~ c0_1(X38)
        | c1_1(X38) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f2355,plain,
    ( spl0_83
    | ~ spl0_103
    | ~ spl0_89
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2335,f923,f653,f734,f620]) ).

fof(f734,plain,
    ( spl0_103
  <=> c0_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2335,plain,
    ( ~ c0_1(a2437)
    | c1_1(a2437)
    | ~ spl0_89
    | ~ spl0_138 ),
    inference(resolution,[],[f924,f655]) ).

fof(f2346,plain,
    ( ~ spl0_139
    | spl0_42
    | ~ spl0_138
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2332,f1261,f923,f424,f933]) ).

fof(f933,plain,
    ( spl0_139
  <=> c0_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f424,plain,
    ( spl0_42
  <=> c1_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1261,plain,
    ( spl0_178
  <=> c2_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2332,plain,
    ( c1_1(a2414)
    | ~ c0_1(a2414)
    | ~ spl0_138
    | ~ spl0_178 ),
    inference(resolution,[],[f924,f1263]) ).

fof(f1263,plain,
    ( c2_1(a2414)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f2321,plain,
    ( ~ spl0_123
    | ~ spl0_49
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2312,f910,f872,f457,f844]) ).

fof(f457,plain,
    ( spl0_49
  <=> c3_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f910,plain,
    ( spl0_136
  <=> ! [X95] :
        ( ~ c3_1(X95)
        | ~ c0_1(X95)
        | ~ c2_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2312,plain,
    ( ~ c3_1(a2409)
    | ~ c0_1(a2409)
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(resolution,[],[f911,f874]) ).

fof(f911,plain,
    ( ! [X95] :
        ( ~ c2_1(X95)
        | ~ c3_1(X95)
        | ~ c0_1(X95) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f2297,plain,
    ( spl0_27
    | spl0_37
    | ~ spl0_128
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2277,f1094,f868,f401,f360]) ).

fof(f868,plain,
    ( spl0_128
  <=> ! [X4] :
        ( c1_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2277,plain,
    ( c3_1(a2411)
    | c1_1(a2411)
    | ~ spl0_128
    | ~ spl0_164 ),
    inference(resolution,[],[f869,f1096]) ).

fof(f1096,plain,
    ( c0_1(a2411)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f869,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | c3_1(X4)
        | c1_1(X4) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f2296,plain,
    ( spl0_75
    | spl0_142
    | ~ spl0_128
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2273,f1149,f868,f951,f580]) ).

fof(f580,plain,
    ( spl0_75
  <=> c1_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2273,plain,
    ( c3_1(a2404)
    | c1_1(a2404)
    | ~ spl0_128
    | ~ spl0_168 ),
    inference(resolution,[],[f869,f1151]) ).

fof(f1151,plain,
    ( c0_1(a2404)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f2288,plain,
    ( spl0_61
    | spl0_42
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2278,f933,f868,f424,f515]) ).

fof(f515,plain,
    ( spl0_61
  <=> c3_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2278,plain,
    ( c1_1(a2414)
    | c3_1(a2414)
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(resolution,[],[f869,f935]) ).

fof(f935,plain,
    ( c0_1(a2414)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f2286,plain,
    ( spl0_176
    | spl0_57
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2281,f868,f299,f493,f1234]) ).

fof(f1234,plain,
    ( spl0_176
  <=> c1_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f493,plain,
    ( spl0_57
  <=> c3_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f299,plain,
    ( spl0_13
  <=> c0_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2281,plain,
    ( c3_1(a2425)
    | c1_1(a2425)
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(resolution,[],[f869,f301]) ).

fof(f301,plain,
    ( c0_1(a2425)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f2271,plain,
    ( ~ spl0_179
    | spl0_67
    | ~ spl0_124
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2249,f1041,f849,f542,f1292]) ).

fof(f1292,plain,
    ( spl0_179
  <=> c0_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f542,plain,
    ( spl0_67
  <=> c1_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f849,plain,
    ( spl0_124
  <=> ! [X45] :
        ( ~ c0_1(X45)
        | ~ c3_1(X45)
        | c1_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1041,plain,
    ( spl0_157
  <=> c3_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2249,plain,
    ( c1_1(a2416)
    | ~ c0_1(a2416)
    | ~ spl0_124
    | ~ spl0_157 ),
    inference(resolution,[],[f850,f1043]) ).

fof(f1043,plain,
    ( c3_1(a2416)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f850,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | ~ c0_1(X45)
        | c1_1(X45) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f2260,plain,
    ( spl0_149
    | ~ spl0_41
    | ~ spl0_124
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2246,f858,f849,f419,f991]) ).

fof(f991,plain,
    ( spl0_149
  <=> c1_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f419,plain,
    ( spl0_41
  <=> c0_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f858,plain,
    ( spl0_126
  <=> c3_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2246,plain,
    ( ~ c0_1(a2402)
    | c1_1(a2402)
    | ~ spl0_124
    | ~ spl0_126 ),
    inference(resolution,[],[f850,f860]) ).

fof(f860,plain,
    ( c3_1(a2402)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f2259,plain,
    ( ~ spl0_35
    | spl0_172
    | ~ spl0_117
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2247,f849,f815,f1196,f392]) ).

fof(f392,plain,
    ( spl0_35
  <=> c0_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1196,plain,
    ( spl0_172
  <=> c1_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f815,plain,
    ( spl0_117
  <=> c3_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2247,plain,
    ( c1_1(a2408)
    | ~ c0_1(a2408)
    | ~ spl0_117
    | ~ spl0_124 ),
    inference(resolution,[],[f850,f817]) ).

fof(f817,plain,
    ( c3_1(a2408)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f2236,plain,
    ( ~ spl0_90
    | ~ spl0_88
    | ~ spl0_64
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2229,f945,f528,f647,f660]) ).

fof(f660,plain,
    ( spl0_90
  <=> c0_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f647,plain,
    ( spl0_88
  <=> c3_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f528,plain,
    ( spl0_64
  <=> ! [X41] :
        ( ~ c3_1(X41)
        | ~ c0_1(X41)
        | ~ c1_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f945,plain,
    ( spl0_141
  <=> c1_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2229,plain,
    ( ~ c3_1(a2450)
    | ~ c0_1(a2450)
    | ~ spl0_64
    | ~ spl0_141 ),
    inference(resolution,[],[f529,f947]) ).

fof(f947,plain,
    ( c1_1(a2450)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f529,plain,
    ( ! [X41] :
        ( ~ c1_1(X41)
        | ~ c3_1(X41)
        | ~ c0_1(X41) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f2220,plain,
    ( spl0_87
    | ~ spl0_118
    | ~ spl0_21
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2218,f882,f334,f820,f642]) ).

fof(f642,plain,
    ( spl0_87
  <=> c2_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f820,plain,
    ( spl0_118
  <=> c0_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f882,plain,
    ( spl0_131
  <=> c1_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2218,plain,
    ( ~ c0_1(a2410)
    | c2_1(a2410)
    | ~ spl0_21
    | ~ spl0_131 ),
    inference(resolution,[],[f884,f335]) ).

fof(f884,plain,
    ( c1_1(a2410)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f2211,plain,
    ( ~ spl0_60
    | spl0_107
    | ~ spl0_33
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2193,f1116,f383,f758,f509]) ).

fof(f509,plain,
    ( spl0_60
  <=> c3_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f758,plain,
    ( spl0_107
  <=> c1_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1116,plain,
    ( spl0_166
  <=> c2_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2193,plain,
    ( c1_1(a2417)
    | ~ c3_1(a2417)
    | ~ spl0_33
    | ~ spl0_166 ),
    inference(resolution,[],[f384,f1118]) ).

fof(f1118,plain,
    ( c2_1(a2417)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f2208,plain,
    ( spl0_32
    | ~ spl0_33
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2201,f466,f383,f380]) ).

fof(f380,plain,
    ( spl0_32
  <=> ! [X89] :
        ( c0_1(X89)
        | c1_1(X89)
        | ~ c3_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f466,plain,
    ( spl0_51
  <=> ! [X75] :
        ( c1_1(X75)
        | c2_1(X75)
        | c0_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2201,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_33
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f2187]) ).

fof(f2187,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_33
    | ~ spl0_51 ),
    inference(resolution,[],[f384,f467]) ).

fof(f467,plain,
    ( ! [X75] :
        ( c2_1(X75)
        | c0_1(X75)
        | c1_1(X75) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f2186,plain,
    ( ~ spl0_74
    | spl0_25
    | ~ spl0_77
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2184,f1470,f590,f351,f575]) ).

fof(f575,plain,
    ( spl0_74
  <=> c1_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f351,plain,
    ( spl0_25
  <=> c0_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1470,plain,
    ( spl0_181
  <=> c2_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f2184,plain,
    ( c0_1(a2468)
    | ~ c1_1(a2468)
    | ~ spl0_77
    | ~ spl0_181 ),
    inference(resolution,[],[f1472,f591]) ).

fof(f1472,plain,
    ( c2_1(a2468)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f2154,plain,
    ( spl0_133
    | spl0_121
    | ~ spl0_30
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2144,f1222,f372,f835,f893]) ).

fof(f1222,plain,
    ( spl0_174
  <=> c1_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2144,plain,
    ( c3_1(a2428)
    | c2_1(a2428)
    | ~ spl0_30
    | ~ spl0_174 ),
    inference(resolution,[],[f373,f1224]) ).

fof(f1224,plain,
    ( c1_1(a2428)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1222]) ).

fof(f2132,plain,
    ( spl0_132
    | spl0_146
    | ~ spl0_51
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2131,f863,f466,f973,f888]) ).

fof(f888,plain,
    ( spl0_132
  <=> c0_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f973,plain,
    ( spl0_146
  <=> c1_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f863,plain,
    ( spl0_127
  <=> c2_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2131,plain,
    ( c1_1(a2453)
    | c0_1(a2453)
    | ~ spl0_51
    | spl0_127 ),
    inference(resolution,[],[f865,f467]) ).

fof(f865,plain,
    ( ~ c2_1(a2453)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f2123,plain,
    ( spl0_142
    | spl0_91
    | ~ spl0_122
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2100,f1149,f840,f666,f951]) ).

fof(f840,plain,
    ( spl0_122
  <=> ! [X76] :
        ( c3_1(X76)
        | c2_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2100,plain,
    ( c2_1(a2404)
    | c3_1(a2404)
    | ~ spl0_122
    | ~ spl0_168 ),
    inference(resolution,[],[f841,f1151]) ).

fof(f841,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | c2_1(X76)
        | c3_1(X76) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f2118,plain,
    ( spl0_57
    | spl0_84
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2109,f840,f299,f626,f493]) ).

fof(f626,plain,
    ( spl0_84
  <=> c2_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2109,plain,
    ( c2_1(a2425)
    | c3_1(a2425)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(resolution,[],[f841,f301]) ).

fof(f2115,plain,
    ( spl0_61
    | spl0_178
    | ~ spl0_122
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2107,f933,f840,f1261,f515]) ).

fof(f2107,plain,
    ( c2_1(a2414)
    | c3_1(a2414)
    | ~ spl0_122
    | ~ spl0_139 ),
    inference(resolution,[],[f841,f935]) ).

fof(f2097,plain,
    ( ~ spl0_13
    | spl0_84
    | ~ spl0_21
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2095,f1234,f334,f626,f299]) ).

fof(f2095,plain,
    ( c2_1(a2425)
    | ~ c0_1(a2425)
    | ~ spl0_21
    | ~ spl0_176 ),
    inference(resolution,[],[f1236,f335]) ).

fof(f1236,plain,
    ( c1_1(a2425)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f2090,plain,
    ( spl0_25
    | spl0_119
    | ~ spl0_74
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2084,f687,f575,f825,f351]) ).

fof(f825,plain,
    ( spl0_119
  <=> c3_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2084,plain,
    ( c3_1(a2468)
    | c0_1(a2468)
    | ~ spl0_74
    | ~ spl0_95 ),
    inference(resolution,[],[f688,f577]) ).

fof(f577,plain,
    ( c1_1(a2468)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f2073,plain,
    ( spl0_163
    | spl0_125
    | ~ spl0_73
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2058,f722,f570,f853,f1088]) ).

fof(f570,plain,
    ( spl0_73
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | c2_1(X54)
        | c0_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2058,plain,
    ( c0_1(a2432)
    | c2_1(a2432)
    | ~ spl0_73
    | ~ spl0_101 ),
    inference(resolution,[],[f571,f724]) ).

fof(f724,plain,
    ( c3_1(a2432)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f571,plain,
    ( ! [X54] :
        ( ~ c3_1(X54)
        | c2_1(X54)
        | c0_1(X54) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f2067,plain,
    ( spl0_43
    | spl0_3
    | ~ spl0_69
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2059,f570,f552,f255,f430]) ).

fof(f430,plain,
    ( spl0_43
  <=> c2_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f255,plain,
    ( spl0_3
  <=> c0_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f552,plain,
    ( spl0_69
  <=> c3_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2059,plain,
    ( c0_1(a2435)
    | c2_1(a2435)
    | ~ spl0_69
    | ~ spl0_73 ),
    inference(resolution,[],[f571,f554]) ).

fof(f554,plain,
    ( c3_1(a2435)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f2065,plain,
    ( spl0_147
    | spl0_175
    | ~ spl0_73
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2056,f804,f570,f1227,f979]) ).

fof(f979,plain,
    ( spl0_147
  <=> c2_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1227,plain,
    ( spl0_175
  <=> c0_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f804,plain,
    ( spl0_115
  <=> c3_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2056,plain,
    ( c0_1(a2422)
    | c2_1(a2422)
    | ~ spl0_73
    | ~ spl0_115 ),
    inference(resolution,[],[f571,f806]) ).

fof(f806,plain,
    ( c3_1(a2422)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f2047,plain,
    ( spl0_75
    | spl0_168
    | ~ spl0_51
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2025,f666,f466,f1149,f580]) ).

fof(f2025,plain,
    ( c0_1(a2404)
    | c1_1(a2404)
    | ~ spl0_51
    | spl0_91 ),
    inference(resolution,[],[f467,f668]) ).

fof(f2043,plain,
    ( spl0_165
    | spl0_3
    | spl0_43
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2035,f466,f430,f255,f1110]) ).

fof(f1110,plain,
    ( spl0_165
  <=> c1_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2035,plain,
    ( c0_1(a2435)
    | c1_1(a2435)
    | spl0_43
    | ~ spl0_51 ),
    inference(resolution,[],[f467,f432]) ).

fof(f432,plain,
    ( ~ c2_1(a2435)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f2040,plain,
    ( spl0_99
    | spl0_174
    | ~ spl0_51
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2033,f893,f466,f1222,f710]) ).

fof(f2033,plain,
    ( c1_1(a2428)
    | c0_1(a2428)
    | ~ spl0_51
    | spl0_133 ),
    inference(resolution,[],[f467,f895]) ).

fof(f2020,plain,
    ( ~ spl0_49
    | ~ spl0_189
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2011,f872,f435,f1964,f457]) ).

fof(f2011,plain,
    ( ~ c1_1(a2409)
    | ~ c3_1(a2409)
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(resolution,[],[f436,f874]) ).

fof(f1996,plain,
    ( spl0_67
    | spl0_179
    | ~ spl0_32
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1980,f1041,f380,f1292,f542]) ).

fof(f1980,plain,
    ( c0_1(a2416)
    | c1_1(a2416)
    | ~ spl0_32
    | ~ spl0_157 ),
    inference(resolution,[],[f381,f1043]) ).

fof(f381,plain,
    ( ! [X89] :
        ( ~ c3_1(X89)
        | c0_1(X89)
        | c1_1(X89) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f1971,plain,
    ( spl0_170
    | ~ spl0_90
    | ~ spl0_21
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1968,f945,f334,f660,f1166]) ).

fof(f1166,plain,
    ( spl0_170
  <=> c2_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1968,plain,
    ( ~ c0_1(a2450)
    | c2_1(a2450)
    | ~ spl0_21
    | ~ spl0_141 ),
    inference(resolution,[],[f947,f335]) ).

fof(f1954,plain,
    ( ~ spl0_175
    | spl0_147
    | ~ spl0_21
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1952,f715,f334,f979,f1227]) ).

fof(f715,plain,
    ( spl0_100
  <=> c1_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1952,plain,
    ( c2_1(a2422)
    | ~ c0_1(a2422)
    | ~ spl0_21
    | ~ spl0_100 ),
    inference(resolution,[],[f717,f335]) ).

fof(f717,plain,
    ( c1_1(a2422)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f1951,plain,
    ( spl0_56
    | ~ spl0_162
    | ~ spl0_21
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1948,f451,f334,f1074,f487]) ).

fof(f1074,plain,
    ( spl0_162
  <=> c0_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1948,plain,
    ( ~ c0_1(a2403)
    | c2_1(a2403)
    | ~ spl0_21
    | ~ spl0_48 ),
    inference(resolution,[],[f453,f335]) ).

fof(f1950,plain,
    ( ~ spl0_162
    | spl0_155
    | ~ spl0_48
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1949,f683,f451,f1029,f1074]) ).

fof(f683,plain,
    ( spl0_94
  <=> ! [X24] :
        ( c3_1(X24)
        | ~ c0_1(X24)
        | ~ c1_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1949,plain,
    ( c3_1(a2403)
    | ~ c0_1(a2403)
    | ~ spl0_48
    | ~ spl0_94 ),
    inference(resolution,[],[f453,f684]) ).

fof(f684,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | ~ c0_1(X24)
        | c3_1(X24) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1947,plain,
    ( spl0_108
    | ~ spl0_159
    | ~ spl0_34
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1946,f590,f387,f1054,f763]) ).

fof(f387,plain,
    ( spl0_34
  <=> c2_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1946,plain,
    ( ~ c1_1(a2478)
    | c0_1(a2478)
    | ~ spl0_34
    | ~ spl0_77 ),
    inference(resolution,[],[f389,f591]) ).

fof(f389,plain,
    ( c2_1(a2478)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f1944,plain,
    ( spl0_134
    | ~ spl0_79
    | ~ spl0_94
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1942,f986,f683,f599,f898]) ).

fof(f1942,plain,
    ( ~ c0_1(a2484)
    | c3_1(a2484)
    | ~ spl0_94
    | ~ spl0_148 ),
    inference(resolution,[],[f684,f988]) ).

fof(f1939,plain,
    ( ~ spl0_35
    | ~ spl0_117
    | ~ spl0_64
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1929,f1196,f528,f815,f392]) ).

fof(f1929,plain,
    ( ~ c3_1(a2408)
    | ~ c0_1(a2408)
    | ~ spl0_64
    | ~ spl0_172 ),
    inference(resolution,[],[f1198,f529]) ).

fof(f1198,plain,
    ( c1_1(a2408)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1937,plain,
    ( ~ spl0_117
    | spl0_113
    | ~ spl0_93
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1928,f1196,f678,f793,f815]) ).

fof(f793,plain,
    ( spl0_113
  <=> c2_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1928,plain,
    ( c2_1(a2408)
    | ~ c3_1(a2408)
    | ~ spl0_93
    | ~ spl0_172 ),
    inference(resolution,[],[f1198,f679]) ).

fof(f1919,plain,
    ( ~ spl0_90
    | ~ spl0_141
    | ~ spl0_71
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1912,f1166,f560,f945,f660]) ).

fof(f560,plain,
    ( spl0_71
  <=> ! [X88] :
        ( ~ c0_1(X88)
        | ~ c1_1(X88)
        | ~ c2_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1912,plain,
    ( ~ c1_1(a2450)
    | ~ c0_1(a2450)
    | ~ spl0_71
    | ~ spl0_170 ),
    inference(resolution,[],[f1168,f561]) ).

fof(f561,plain,
    ( ! [X88] :
        ( ~ c2_1(X88)
        | ~ c0_1(X88)
        | ~ c1_1(X88) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f1168,plain,
    ( c2_1(a2450)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1166]) ).

fof(f1917,plain,
    ( ~ spl0_141
    | ~ spl0_88
    | ~ spl0_44
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1914,f1166,f435,f647,f945]) ).

fof(f1914,plain,
    ( ~ c3_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_44
    | ~ spl0_170 ),
    inference(resolution,[],[f1168,f436]) ).

fof(f1910,plain,
    ( spl0_105
    | spl0_160
    | ~ spl0_78
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1890,f740,f595,f1064,f745]) ).

fof(f1890,plain,
    ( c3_1(a2412)
    | c0_1(a2412)
    | ~ spl0_78
    | spl0_104 ),
    inference(resolution,[],[f596,f742]) ).

fof(f742,plain,
    ( ~ c2_1(a2412)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f1901,plain,
    ( spl0_162
    | spl0_155
    | spl0_56
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1887,f595,f487,f1029,f1074]) ).

fof(f1887,plain,
    ( c3_1(a2403)
    | c0_1(a2403)
    | spl0_56
    | ~ spl0_78 ),
    inference(resolution,[],[f596,f489]) ).

fof(f489,plain,
    ( ~ c2_1(a2403)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1839,plain,
    ( spl0_119
    | spl0_181
    | ~ spl0_30
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1835,f575,f372,f1470,f825]) ).

fof(f1835,plain,
    ( c2_1(a2468)
    | c3_1(a2468)
    | ~ spl0_30
    | ~ spl0_74 ),
    inference(resolution,[],[f373,f577]) ).

fof(f1824,plain,
    ( ~ spl0_80
    | ~ spl0_110
    | ~ spl0_71
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1816,f771,f560,f776,f605]) ).

fof(f605,plain,
    ( spl0_80
  <=> c1_1(a2498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f776,plain,
    ( spl0_110
  <=> c0_1(a2498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f771,plain,
    ( spl0_109
  <=> c2_1(a2498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1816,plain,
    ( ~ c0_1(a2498)
    | ~ c1_1(a2498)
    | ~ spl0_71
    | ~ spl0_109 ),
    inference(resolution,[],[f773,f561]) ).

fof(f773,plain,
    ( c2_1(a2498)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f1701,plain,
    ( ~ spl0_8
    | ~ spl0_183
    | ~ spl0_71
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1691,f968,f560,f1539,f278]) ).

fof(f1691,plain,
    ( ~ c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_71
    | ~ spl0_145 ),
    inference(resolution,[],[f561,f970]) ).

fof(f1668,plain,
    ( spl0_172
    | spl0_113
    | ~ spl0_29
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1659,f815,f369,f793,f1196]) ).

fof(f369,plain,
    ( spl0_29
  <=> ! [X111] :
        ( ~ c3_1(X111)
        | c1_1(X111)
        | c2_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1659,plain,
    ( c2_1(a2408)
    | c1_1(a2408)
    | ~ spl0_29
    | ~ spl0_117 ),
    inference(resolution,[],[f370,f817]) ).

fof(f370,plain,
    ( ! [X111] :
        ( ~ c3_1(X111)
        | c1_1(X111)
        | c2_1(X111) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1664,plain,
    ( spl0_166
    | spl0_107
    | ~ spl0_29
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1660,f509,f369,f758,f1116]) ).

fof(f1660,plain,
    ( c1_1(a2417)
    | c2_1(a2417)
    | ~ spl0_29
    | ~ spl0_60 ),
    inference(resolution,[],[f370,f511]) ).

fof(f511,plain,
    ( c3_1(a2417)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1637,plain,
    ( spl0_140
    | ~ spl0_98
    | ~ spl0_77
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1635,f1008,f590,f704,f940]) ).

fof(f940,plain,
    ( spl0_140
  <=> c0_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f704,plain,
    ( spl0_98
  <=> c1_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1008,plain,
    ( spl0_151
  <=> c2_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1635,plain,
    ( ~ c1_1(a2418)
    | c0_1(a2418)
    | ~ spl0_77
    | ~ spl0_151 ),
    inference(resolution,[],[f1010,f591]) ).

fof(f1010,plain,
    ( c2_1(a2418)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1601,plain,
    ( spl0_16
    | spl0_107
    | ~ spl0_51
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1600,f1116,f466,f758,f312]) ).

fof(f312,plain,
    ( spl0_16
  <=> c0_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1600,plain,
    ( c1_1(a2417)
    | c0_1(a2417)
    | ~ spl0_51
    | spl0_166 ),
    inference(resolution,[],[f1117,f467]) ).

fof(f1117,plain,
    ( ~ c2_1(a2417)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1598,plain,
    ( spl0_107
    | spl0_16
    | ~ spl0_32
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1582,f509,f380,f312,f758]) ).

fof(f1582,plain,
    ( c0_1(a2417)
    | c1_1(a2417)
    | ~ spl0_32
    | ~ spl0_60 ),
    inference(resolution,[],[f381,f511]) ).

fof(f1567,plain,
    ( spl0_87
    | spl0_161
    | ~ spl0_30
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1556,f882,f372,f1069,f642]) ).

fof(f1069,plain,
    ( spl0_161
  <=> c3_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1556,plain,
    ( c3_1(a2410)
    | c2_1(a2410)
    | ~ spl0_30
    | ~ spl0_131 ),
    inference(resolution,[],[f373,f884]) ).

fof(f1501,plain,
    ( spl0_67
    | spl0_96
    | ~ spl0_29
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1493,f1041,f369,f692,f542]) ).

fof(f692,plain,
    ( spl0_96
  <=> c2_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1493,plain,
    ( c2_1(a2416)
    | c1_1(a2416)
    | ~ spl0_29
    | ~ spl0_157 ),
    inference(resolution,[],[f370,f1043]) ).

fof(f1473,plain,
    ( spl0_181
    | spl0_25
    | ~ spl0_62
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1467,f575,f520,f351,f1470]) ).

fof(f1467,plain,
    ( c0_1(a2468)
    | c2_1(a2468)
    | ~ spl0_62
    | ~ spl0_74 ),
    inference(resolution,[],[f577,f521]) ).

fof(f1442,plain,
    ( ~ spl0_161
    | spl0_87
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1432,f882,f678,f642,f1069]) ).

fof(f1432,plain,
    ( c2_1(a2410)
    | ~ c3_1(a2410)
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(resolution,[],[f679,f884]) ).

fof(f1441,plain,
    ( ~ spl0_115
    | spl0_147
    | ~ spl0_93
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1434,f715,f678,f979,f804]) ).

fof(f1434,plain,
    ( c2_1(a2422)
    | ~ c3_1(a2422)
    | ~ spl0_93
    | ~ spl0_100 ),
    inference(resolution,[],[f679,f717]) ).

fof(f1439,plain,
    ( spl0_170
    | ~ spl0_88
    | ~ spl0_93
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1437,f945,f678,f647,f1166]) ).

fof(f1437,plain,
    ( ~ c3_1(a2450)
    | c2_1(a2450)
    | ~ spl0_93
    | ~ spl0_141 ),
    inference(resolution,[],[f679,f947]) ).

fof(f1400,plain,
    ( spl0_85
    | ~ spl0_173
    | ~ spl0_77
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1391,f957,f590,f1204,f631]) ).

fof(f1391,plain,
    ( ~ c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_77
    | ~ spl0_143 ),
    inference(resolution,[],[f591,f959]) ).

fof(f1360,plain,
    ( spl0_37
    | ~ spl0_164
    | ~ spl0_70
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1348,f697,f557,f1094,f401]) ).

fof(f557,plain,
    ( spl0_70
  <=> ! [X87] :
        ( ~ c2_1(X87)
        | ~ c0_1(X87)
        | c3_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1348,plain,
    ( ~ c0_1(a2411)
    | c3_1(a2411)
    | ~ spl0_70
    | ~ spl0_97 ),
    inference(resolution,[],[f558,f699]) ).

fof(f558,plain,
    ( ! [X87] :
        ( ~ c2_1(X87)
        | c3_1(X87)
        | ~ c0_1(X87) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1358,plain,
    ( spl0_59
    | ~ spl0_153
    | ~ spl0_70
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1347,f752,f557,f1019,f504]) ).

fof(f504,plain,
    ( spl0_59
  <=> c3_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1019,plain,
    ( spl0_153
  <=> c0_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f752,plain,
    ( spl0_106
  <=> c2_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1347,plain,
    ( ~ c0_1(a2405)
    | c3_1(a2405)
    | ~ spl0_70
    | ~ spl0_106 ),
    inference(resolution,[],[f558,f754]) ).

fof(f754,plain,
    ( c2_1(a2405)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f1357,plain,
    ( spl0_167
    | ~ spl0_103
    | ~ spl0_70
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1352,f653,f557,f734,f1130]) ).

fof(f1352,plain,
    ( ~ c0_1(a2437)
    | c3_1(a2437)
    | ~ spl0_70
    | ~ spl0_89 ),
    inference(resolution,[],[f558,f655]) ).

fof(f1344,plain,
    ( spl0_39
    | ~ spl0_51
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1337,f547,f466,f411]) ).

fof(f547,plain,
    ( spl0_68
  <=> ! [X68] :
        ( c3_1(X68)
        | c1_1(X68)
        | ~ c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1337,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_51
    | ~ spl0_68 ),
    inference(duplicate_literal_removal,[],[f1329]) ).

fof(f1329,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_51
    | ~ spl0_68 ),
    inference(resolution,[],[f548,f467]) ).

fof(f548,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | c3_1(X68)
        | c1_1(X68) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f1341,plain,
    ( spl0_144
    | spl0_159
    | ~ spl0_34
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1336,f547,f387,f1054,f963]) ).

fof(f1336,plain,
    ( c1_1(a2478)
    | c3_1(a2478)
    | ~ spl0_34
    | ~ spl0_68 ),
    inference(resolution,[],[f548,f389]) ).

fof(f1338,plain,
    ( spl0_112
    | spl0_171
    | ~ spl0_68
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1331,f877,f547,f1190,f788]) ).

fof(f1331,plain,
    ( c3_1(a2413)
    | c1_1(a2413)
    | ~ spl0_68
    | ~ spl0_130 ),
    inference(resolution,[],[f548,f879]) ).

fof(f1280,plain,
    ( spl0_3
    | spl0_43
    | ~ spl0_62
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1277,f1110,f520,f430,f255]) ).

fof(f1277,plain,
    ( c2_1(a2435)
    | c0_1(a2435)
    | ~ spl0_62
    | ~ spl0_165 ),
    inference(resolution,[],[f521,f1112]) ).

fof(f1112,plain,
    ( c1_1(a2435)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1267,plain,
    ( spl0_91
    | spl0_75
    | ~ spl0_55
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1241,f1149,f483,f580,f666]) ).

fof(f483,plain,
    ( spl0_55
  <=> ! [X30] :
        ( c1_1(X30)
        | c2_1(X30)
        | ~ c0_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1241,plain,
    ( c1_1(a2404)
    | c2_1(a2404)
    | ~ spl0_55
    | ~ spl0_168 ),
    inference(resolution,[],[f484,f1151]) ).

fof(f484,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | c2_1(X30) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f1266,plain,
    ( spl0_158
    | spl0_135
    | ~ spl0_6
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1242,f483,f268,f903,f1048]) ).

fof(f1048,plain,
    ( spl0_158
  <=> c2_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f903,plain,
    ( spl0_135
  <=> c1_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f268,plain,
    ( spl0_6
  <=> c0_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1242,plain,
    ( c1_1(a2407)
    | c2_1(a2407)
    | ~ spl0_6
    | ~ spl0_55 ),
    inference(resolution,[],[f484,f270]) ).

fof(f270,plain,
    ( c0_1(a2407)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f1251,plain,
    ( spl0_176
    | spl0_84
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1246,f483,f299,f626,f1234]) ).

fof(f1246,plain,
    ( c2_1(a2425)
    | c1_1(a2425)
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(resolution,[],[f484,f301]) ).

fof(f1183,plain,
    ( spl0_16
    | ~ spl0_60
    | ~ spl0_46
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1179,f1116,f443,f509,f312]) ).

fof(f1179,plain,
    ( ~ c3_1(a2417)
    | c0_1(a2417)
    | ~ spl0_46
    | ~ spl0_166 ),
    inference(resolution,[],[f444,f1118]) ).

fof(f1161,plain,
    ( spl0_82
    | spl0_154
    | ~ spl0_39
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1146,f1000,f411,f1024,f615]) ).

fof(f615,plain,
    ( spl0_82
  <=> c0_1(a2500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1024,plain,
    ( spl0_154
  <=> c3_1(a2500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1000,plain,
    ( spl0_150
  <=> c1_1(a2500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1146,plain,
    ( c3_1(a2500)
    | c0_1(a2500)
    | ~ spl0_39
    | spl0_150 ),
    inference(resolution,[],[f412,f1002]) ).

fof(f1002,plain,
    ( ~ c1_1(a2500)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1051,plain,
    ( ~ spl0_5
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f167,f1048,f264]) ).

fof(f264,plain,
    ( spl0_5
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f167,plain,
    ( ~ c2_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp10
      | ! [X0] :
          ( c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0
          | c2_1(X0) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | ~ c0_1(X1)
          | c1_1(X1) ) )
    & ( hskp1
      | ! [X2] :
          ( c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0
          | ~ c3_1(X2) )
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0
          | ~ c3_1(X3) ) )
    & ( ( ndr1_0
        & c0_1(a2425)
        & ~ c3_1(a2425)
        & ~ c2_1(a2425) )
      | ~ hskp16 )
    & ( ! [X4] :
          ( c3_1(X4)
          | c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c3_1(X6)
          | ~ ndr1_0
          | ~ c1_1(X6)
          | ~ c0_1(X6) ) )
    & ( ~ hskp25
      | ( ~ c0_1(a2478)
        & ndr1_0
        & c2_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0
          | c0_1(X7) )
      | hskp7
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ ndr1_0
          | ~ c0_1(X8)
          | c3_1(X8) ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0
          | c1_1(X9) )
      | hskp6
      | hskp11 )
    & ( hskp7
      | hskp8
      | hskp9 )
    & ( hskp2
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ c0_1(X10) )
      | ! [X11] :
          ( ~ ndr1_0
          | c1_1(X11)
          | c3_1(X11)
          | ~ c2_1(X11) ) )
    & ( hskp28
      | ! [X12] :
          ( c3_1(X12)
          | c1_1(X12)
          | c0_1(X12)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ~ hskp8
      | ( ~ c2_1(a2412)
        & ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412) ) )
    & ( ! [X13] :
          ( c3_1(X13)
          | ~ ndr1_0
          | c2_1(X13)
          | ~ c0_1(X13) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14) )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c3_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X16] :
          ( c3_1(X16)
          | c1_1(X16)
          | ~ ndr1_0
          | ~ c2_1(X16) )
      | hskp9 )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c3_1(X18)
          | ~ ndr1_0
          | c0_1(X18)
          | c2_1(X18) )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c0_1(X19)
          | ~ ndr1_0
          | ~ c2_1(X19) ) )
    & ( hskp16
      | ! [X20] :
          ( c0_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp5
      | hskp1
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0
          | c2_1(X21) ) )
    & ( hskp31
      | hskp27
      | hskp25 )
    & ( hskp15
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ ndr1_0
          | c2_1(X22)
          | c0_1(X22) )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X24] :
          ( c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ~ hskp12
      | ( ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0
        & ~ c1_1(a2417) ) )
    & ( ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp4
      | ! [X26] :
          ( c3_1(X26)
          | ~ c1_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( ~ c3_1(a2484)
        & c0_1(a2484)
        & c1_1(a2484)
        & ndr1_0 ) )
    & ( ! [X27] :
          ( c1_1(X27)
          | ~ ndr1_0
          | c3_1(X27)
          | ~ c0_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | c0_1(X28)
          | ~ c1_1(X28) )
      | hskp19 )
    & ( hskp24
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0
          | c1_1(X29) )
      | hskp15 )
    & ( ! [X30] :
          ( ~ ndr1_0
          | c1_1(X30)
          | ~ c0_1(X30)
          | c2_1(X30) )
      | hskp30
      | hskp21 )
    & ( hskp6
      | hskp21
      | ! [X31] :
          ( c0_1(X31)
          | ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c2_1(X31) ) )
    & ( hskp8
      | hskp26
      | hskp11 )
    & ( hskp2
      | ! [X32] :
          ( ~ c1_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ( ndr1_0
        & ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407) )
      | ~ hskp4 )
    & ( hskp5
      | hskp22
      | ! [X33] :
          ( ~ ndr1_0
          | c1_1(X33)
          | c2_1(X33)
          | ~ c0_1(X33) ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0
          | c2_1(X34) )
      | hskp18
      | hskp17 )
    & ( ( ~ c3_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0
        & ~ c2_1(a2404) )
      | ~ hskp2 )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ! [X35] :
          ( ~ c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0
          | c0_1(X35) )
      | hskp8
      | hskp9 )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | c1_1(X36)
          | c3_1(X36) )
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X38] :
          ( ~ c2_1(X38)
          | c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ ndr1_0
          | ~ c2_1(X40)
          | c0_1(X40) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c3_1(X41)
          | ~ c0_1(X41) )
      | hskp23
      | hskp14 )
    & ( ( c0_1(a2408)
        & ndr1_0
        & ~ c2_1(a2408)
        & c3_1(a2408) )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2420)
        & c1_1(a2420)
        & c2_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp24
      | ( ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0
        & ~ c3_1(a2468) ) )
    & ( hskp6
      | hskp1
      | ! [X42] :
          ( c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0
          | ~ c1_1(X42) ) )
    & ( ! [X43] :
          ( ~ c1_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43) )
      | hskp15
      | hskp11 )
    & ( ( ~ c0_1(a2413)
        & ndr1_0
        & ~ c1_1(a2413)
        & c2_1(a2413) )
      | ~ hskp9 )
    & ( ~ hskp28
      | ( c1_1(a2406)
        & c3_1(a2406)
        & ndr1_0
        & c2_1(a2406) ) )
    & ( ~ hskp29
      | ( c3_1(a2409)
        & c2_1(a2409)
        & ndr1_0
        & c0_1(a2409) ) )
    & ( ! [X44] :
          ( c1_1(X44)
          | c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp29
      | ! [X45] :
          ( c1_1(X45)
          | ~ c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | ~ c1_1(X46)
          | c2_1(X46) )
      | hskp25
      | hskp7 )
    & ( ! [X47] :
          ( c3_1(X47)
          | c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | c1_1(X49)
          | ~ ndr1_0
          | c0_1(X49) ) )
    & ( ~ hskp31
      | ( c2_1(a2498)
        & ndr1_0
        & c0_1(a2498)
        & c1_1(a2498) ) )
    & ( ! [X50] :
          ( ~ c0_1(X50)
          | c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ ndr1_0
          | c1_1(X51)
          | c3_1(X51) )
      | hskp3 )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c3_1(X52)
          | c2_1(X52) )
      | hskp19
      | hskp5 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53) )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a2428)
        & ~ c0_1(a2428)
        & ~ c2_1(a2428) ) )
    & ( ! [X55] :
          ( ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0
          | c2_1(X55) )
      | ! [X56] :
          ( c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0
          | c0_1(X56) )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0
          | c0_1(X58) )
      | hskp28
      | hskp9 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp30
      | ! [X59] :
          ( c3_1(X59)
          | ~ ndr1_0
          | ~ c0_1(X59)
          | ~ c1_1(X59) )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ ndr1_0
          | ~ c3_1(X60)
          | c2_1(X60) ) )
    & ( hskp20
      | hskp7
      | ! [X61] :
          ( ~ c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0
          | ~ c1_1(X61) ) )
    & ( ! [X62] :
          ( ~ c2_1(X62)
          | c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp1
      | ! [X63] :
          ( c2_1(X63)
          | ~ ndr1_0
          | c1_1(X63)
          | c0_1(X63) ) )
    & ( hskp5
      | hskp18
      | hskp3 )
    & ( hskp1
      | hskp13
      | ! [X64] :
          ( c0_1(X64)
          | ~ ndr1_0
          | c3_1(X64)
          | c2_1(X64) ) )
    & ( ! [X65] :
          ( c2_1(X65)
          | ~ ndr1_0
          | ~ c1_1(X65)
          | ~ c0_1(X65) )
      | hskp19
      | hskp25 )
    & ( ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | c0_1(X66)
          | ~ c1_1(X66) )
      | hskp20
      | ! [X67] :
          ( c2_1(X67)
          | ~ c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp19
      | hskp26 )
    & ( hskp16
      | ! [X68] :
          ( ~ ndr1_0
          | c1_1(X68)
          | ~ c2_1(X68)
          | c3_1(X68) )
      | hskp12 )
    & ( hskp6
      | hskp23
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | c3_1(X69) ) )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70) )
      | hskp2
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71) ) )
    & ( hskp11
      | hskp12
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ ndr1_0
          | c0_1(X72)
          | ~ c1_1(X72) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418) ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & ndr1_0
        & c0_1(a2450) )
      | ~ hskp30 )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c0_1(X74)
          | c1_1(X74)
          | ~ c3_1(X74) )
      | hskp0
      | ! [X75] :
          ( c2_1(X75)
          | ~ ndr1_0
          | c0_1(X75)
          | c1_1(X75) ) )
    & ( ! [X76] :
          ( ~ c0_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | c2_1(X77) )
      | ! [X78] :
          ( c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0
          | c1_1(X78) ) )
    & ( hskp4
      | ! [X79] :
          ( ~ c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0
          | ~ c3_1(X79) )
      | ! [X80] :
          ( ~ ndr1_0
          | c0_1(X80)
          | ~ c2_1(X80)
          | c1_1(X80) ) )
    & ( ( ~ c0_1(a2500)
        & ndr1_0
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) )
      | ~ hskp27 )
    & ( ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81) )
      | hskp12 )
    & ( hskp7
      | hskp6
      | ! [X82] :
          ( ~ ndr1_0
          | c0_1(X82)
          | ~ c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp14
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ ndr1_0
          | c3_1(X83)
          | c1_1(X83) )
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | ~ ndr1_0
          | ~ c1_1(X84) ) )
    & ( ( ~ c1_1(a2453)
        & ~ c2_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp11
      | hskp21
      | ! [X85] :
          ( ~ ndr1_0
          | c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85) ) )
    & ( hskp14
      | hskp1
      | ! [X86] :
          ( c3_1(X86)
          | c0_1(X86)
          | ~ ndr1_0
          | c2_1(X86) ) )
    & ( ( c1_1(a2432)
        & ndr1_0
        & c3_1(a2432)
        & ~ c0_1(a2432) )
      | ~ hskp19 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0
          | ~ c0_1(X87) )
      | hskp20
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88) ) )
    & ( ( c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0
        & ~ c2_1(a2422) )
      | ~ hskp15 )
    & ( ! [X89] :
          ( c0_1(X89)
          | ~ c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | hskp10
      | ! [X90] :
          ( c1_1(X90)
          | ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c3_1(X90) ) )
    & ( ~ hskp3
      | ( ~ c3_1(a2405)
        & ndr1_0
        & c2_1(a2405)
        & c0_1(a2405) ) )
    & ( hskp0
      | hskp21
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0
          | ~ c2_1(X91) ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp24
      | hskp3 )
    & ( ! [X93] :
          ( c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0
          | c2_1(X93) )
      | hskp0
      | hskp29 )
    & ( hskp17
      | ! [X94] :
          ( c0_1(X94)
          | ~ c1_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ~ hskp0
      | ( c3_1(a2402)
        & ~ c1_1(a2402)
        & c0_1(a2402)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) )
      | ~ hskp11 )
    & ( hskp20
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c0_1(X95) )
      | hskp18 )
    & ( hskp1
      | ! [X96] :
          ( c0_1(X96)
          | ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96) )
      | hskp9 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( hskp10
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0
          | ~ c0_1(X97) )
      | ! [X98] :
          ( ~ c1_1(X98)
          | ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c3_1(X98) ) )
    & ( hskp5
      | hskp25
      | hskp19 )
    & ( ~ hskp7
      | ( ~ c1_1(a2411)
        & ndr1_0
        & ~ c3_1(a2411)
        & c2_1(a2411) ) )
    & ( hskp10
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | ~ ndr1_0
          | c2_1(X99) )
      | hskp16 )
    & ( ( c0_1(a2410)
        & ndr1_0
        & c1_1(a2410)
        & ~ c2_1(a2410) )
      | ~ hskp6 )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0
          | ~ c1_1(X101) )
      | ! [X102] :
          ( ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0
          | ~ c0_1(X102) ) )
    & ( ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) )
      | ~ hskp1 )
    & ( ( c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X103] :
          ( ~ ndr1_0
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ c3_1(X103) )
      | hskp2
      | ! [X104] :
          ( c0_1(X104)
          | ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104) ) )
    & ( ! [X105] :
          ( c2_1(X105)
          | ~ ndr1_0
          | ~ c1_1(X105)
          | c0_1(X105) )
      | ! [X106] :
          ( c1_1(X106)
          | ~ ndr1_0
          | ~ c0_1(X106)
          | c2_1(X106) )
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ ndr1_0
          | ~ c0_1(X107)
          | c2_1(X107) ) )
    & ( ! [X108] :
          ( c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0
          | ~ c2_1(X108) )
      | ! [X109] :
          ( c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0
          | c1_1(X109) )
      | hskp5 )
    & ( hskp23
      | ! [X110] :
          ( ~ ndr1_0
          | c2_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110) )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | c2_1(X111)
          | ~ ndr1_0 ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp10
      | ! [X22] :
          ( c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0
          | c2_1(X22) )
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23) ) )
    & ( hskp1
      | ! [X81] :
          ( c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0
          | ~ c3_1(X81) )
      | ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0
          | ~ c3_1(X80) ) )
    & ( ( ndr1_0
        & c0_1(a2425)
        & ~ c3_1(a2425)
        & ~ c2_1(a2425) )
      | ~ hskp16 )
    & ( ! [X74] :
          ( c3_1(X74)
          | c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ ndr1_0
          | ~ c1_1(X73)
          | ~ c0_1(X73) ) )
    & ( ~ hskp25
      | ( ~ c0_1(a2478)
        & ndr1_0
        & c2_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0
          | c0_1(X12) )
      | hskp7
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ ndr1_0
          | ~ c0_1(X13)
          | c3_1(X13) ) )
    & ( ! [X108] :
          ( c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0
          | c1_1(X108) )
      | hskp6
      | hskp11 )
    & ( hskp7
      | hskp8
      | hskp9 )
    & ( hskp2
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | c1_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63) ) )
    & ( hskp28
      | ! [X68] :
          ( c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ~ hskp8
      | ( ~ c2_1(a2412)
        & ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412) ) )
    & ( ! [X14] :
          ( c3_1(X14)
          | ~ ndr1_0
          | c2_1(X14)
          | ~ c0_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15) )
      | ! [X16] :
          ( c1_1(X16)
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X36] :
          ( c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0
          | ~ c2_1(X36) )
      | hskp9 )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ ndr1_0
          | c0_1(X38)
          | c2_1(X38) )
      | ! [X39] :
          ( ~ c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0
          | ~ c2_1(X39) ) )
    & ( hskp16
      | ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp5
      | hskp1
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0
          | c2_1(X41) ) )
    & ( hskp31
      | hskp27
      | hskp25 )
    & ( hskp15
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ ndr1_0
          | c2_1(X107)
          | c0_1(X107) )
      | ! [X106] :
          ( ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X61] :
          ( c3_1(X61)
          | ~ c1_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ~ hskp12
      | ( ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0
        & ~ c1_1(a2417) ) )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp4
      | ! [X60] :
          ( c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( ~ c3_1(a2484)
        & c0_1(a2484)
        & c1_1(a2484)
        & ndr1_0 ) )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ ndr1_0
          | c3_1(X99)
          | ~ c0_1(X99) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ c1_1(X100) )
      | hskp19 )
    & ( hskp24
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0
          | c1_1(X86) )
      | hskp15 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c1_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42) )
      | hskp30
      | hskp21 )
    & ( hskp6
      | hskp21
      | ! [X79] :
          ( c0_1(X79)
          | ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79) ) )
    & ( hskp8
      | hskp26
      | hskp11 )
    & ( hskp2
      | ! [X33] :
          ( ~ c1_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ( ndr1_0
        & ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407) )
      | ~ hskp4 )
    & ( hskp5
      | hskp22
      | ! [X92] :
          ( ~ ndr1_0
          | c1_1(X92)
          | c2_1(X92)
          | ~ c0_1(X92) ) )
    & ( ! [X85] :
          ( c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0
          | c2_1(X85) )
      | hskp18
      | hskp17 )
    & ( ( ~ c3_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0
        & ~ c2_1(a2404) )
      | ~ hskp2 )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ! [X2] :
          ( ~ c2_1(X2)
          | c1_1(X2)
          | ~ ndr1_0
          | c0_1(X2) )
      | hskp8
      | hskp9 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | c0_1(X9)
          | c1_1(X9)
          | c3_1(X9) )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X52] :
          ( ~ c2_1(X52)
          | c1_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c0_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ ndr1_0
          | ~ c2_1(X53)
          | c0_1(X53) ) )
    & ( ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ c0_1(X78) )
      | hskp23
      | hskp14 )
    & ( ( c0_1(a2408)
        & ndr1_0
        & ~ c2_1(a2408)
        & c3_1(a2408) )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2420)
        & c1_1(a2420)
        & c2_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp24
      | ( ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0
        & ~ c3_1(a2468) ) )
    & ( hskp6
      | hskp1
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0
          | ~ c1_1(X25) ) )
    & ( ! [X65] :
          ( ~ c1_1(X65)
          | ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65) )
      | hskp15
      | hskp11 )
    & ( ( ~ c0_1(a2413)
        & ndr1_0
        & ~ c1_1(a2413)
        & c2_1(a2413) )
      | ~ hskp9 )
    & ( ~ hskp28
      | ( c1_1(a2406)
        & c3_1(a2406)
        & ndr1_0
        & c2_1(a2406) ) )
    & ( ~ hskp29
      | ( c3_1(a2409)
        & c2_1(a2409)
        & ndr1_0
        & c0_1(a2409) ) )
    & ( ! [X104] :
          ( c1_1(X104)
          | c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | hskp29
      | ! [X105] :
          ( c1_1(X105)
          | ~ c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | c2_1(X95) )
      | hskp25
      | hskp7 )
    & ( ! [X83] :
          ( c3_1(X83)
          | c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c2_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0
          | c0_1(X84) ) )
    & ( ~ hskp31
      | ( c2_1(a2498)
        & ndr1_0
        & c0_1(a2498)
        & c1_1(a2498) ) )
    & ( ! [X32] :
          ( ~ c0_1(X32)
          | c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ ndr1_0
          | c1_1(X31)
          | c3_1(X31) )
      | hskp3 )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c3_1(X62)
          | c2_1(X62) )
      | hskp19
      | hskp5 )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ c3_1(X27) )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c3_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a2428)
        & ~ c0_1(a2428)
        & ~ c2_1(a2428) ) )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0
          | c2_1(X56) )
      | ! [X57] :
          ( c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0
          | c0_1(X57) )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c1_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0
          | c0_1(X37) )
      | hskp28
      | hskp9 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( hskp30
      | ! [X19] :
          ( c3_1(X19)
          | ~ ndr1_0
          | ~ c0_1(X19)
          | ~ c1_1(X19) )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ ndr1_0
          | ~ c3_1(X18)
          | c2_1(X18) ) )
    & ( hskp20
      | hskp7
      | ! [X94] :
          ( ~ c3_1(X94)
          | c0_1(X94)
          | ~ ndr1_0
          | ~ c1_1(X94) ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp1
      | ! [X110] :
          ( c2_1(X110)
          | ~ ndr1_0
          | c1_1(X110)
          | c0_1(X110) ) )
    & ( hskp5
      | hskp18
      | hskp3 )
    & ( hskp1
      | hskp13
      | ! [X72] :
          ( c0_1(X72)
          | ~ ndr1_0
          | c3_1(X72)
          | c2_1(X72) ) )
    & ( ! [X35] :
          ( c2_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c0_1(X35) )
      | hskp19
      | hskp25 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | c0_1(X51)
          | ~ c1_1(X51) )
      | hskp20
      | ! [X50] :
          ( c2_1(X50)
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp19
      | hskp26 )
    & ( hskp16
      | ! [X111] :
          ( ~ ndr1_0
          | c1_1(X111)
          | ~ c2_1(X111)
          | c3_1(X111) )
      | hskp12 )
    & ( hskp6
      | hskp23
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | c3_1(X91) ) )
    & ( ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | c2_1(X3)
          | c0_1(X3) )
      | hskp2
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4) ) )
    & ( hskp11
      | hskp12
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ ndr1_0
          | c0_1(X101)
          | ~ c1_1(X101) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418) ) )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & ndr1_0
        & c0_1(a2450) )
      | ~ hskp30 )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ! [X0] :
          ( ~ ndr1_0
          | c0_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0) )
      | hskp0
      | ! [X1] :
          ( c2_1(X1)
          | ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1) ) )
    & ( ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c3_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( c2_1(X28)
          | c0_1(X28)
          | ~ ndr1_0
          | c1_1(X28) ) )
    & ( hskp4
      | ! [X89] :
          ( ~ c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0
          | ~ c3_1(X89) )
      | ! [X90] :
          ( ~ ndr1_0
          | c0_1(X90)
          | ~ c2_1(X90)
          | c1_1(X90) ) )
    & ( ( ~ c0_1(a2500)
        & ndr1_0
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) )
      | ~ hskp27 )
    & ( ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c1_1(X49)
          | c0_1(X49) )
      | hskp12 )
    & ( hskp7
      | hskp6
      | ! [X10] :
          ( ~ ndr1_0
          | c0_1(X10)
          | ~ c2_1(X10)
          | c1_1(X10) ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ ndr1_0
          | c3_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | ~ ndr1_0
          | ~ c1_1(X69) ) )
    & ( ( ~ c1_1(a2453)
        & ~ c2_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( hskp11
      | hskp21
      | ! [X17] :
          ( ~ ndr1_0
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17) ) )
    & ( hskp14
      | hskp1
      | ! [X48] :
          ( c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0
          | c2_1(X48) ) )
    & ( ( c1_1(a2432)
        & ndr1_0
        & c3_1(a2432)
        & ~ c0_1(a2432) )
      | ~ hskp19 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0
          | ~ c0_1(X103) )
      | hskp20
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) ) )
    & ( ( c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0
        & ~ c2_1(a2422) )
      | ~ hskp15 )
    & ( ! [X88] :
          ( c0_1(X88)
          | ~ c3_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | hskp10
      | ! [X87] :
          ( c1_1(X87)
          | ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c3_1(X87) ) )
    & ( ~ hskp3
      | ( ~ c3_1(a2405)
        & ndr1_0
        & c2_1(a2405)
        & c0_1(a2405) ) )
    & ( hskp0
      | hskp21
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0
          | ~ c2_1(X24) ) )
    & ( ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | hskp24
      | hskp3 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0
          | c2_1(X66) )
      | hskp0
      | hskp29 )
    & ( hskp17
      | ! [X93] :
          ( c0_1(X93)
          | ~ c1_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ~ hskp0
      | ( c3_1(a2402)
        & ~ c1_1(a2402)
        & c0_1(a2402)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) )
      | ~ hskp11 )
    & ( hskp20
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c0_1(X67) )
      | hskp18 )
    & ( hskp1
      | ! [X34] :
          ( c0_1(X34)
          | ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c1_1(X34) )
      | hskp9 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( hskp10
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0
          | ~ c0_1(X20) )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ ndr1_0
          | ~ c2_1(X21)
          | ~ c3_1(X21) ) )
    & ( hskp5
      | hskp25
      | hskp19 )
    & ( ~ hskp7
      | ( ~ c1_1(a2411)
        & ndr1_0
        & ~ c3_1(a2411)
        & c2_1(a2411) ) )
    & ( hskp10
      | ! [X58] :
          ( ~ c3_1(X58)
          | c1_1(X58)
          | ~ ndr1_0
          | c2_1(X58) )
      | hskp16 )
    & ( ( c0_1(a2410)
        & ndr1_0
        & c1_1(a2410)
        & ~ c2_1(a2410) )
      | ~ hskp6 )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c0_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0
          | ~ c1_1(X44) )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0
          | ~ c0_1(X43) ) )
    & ( ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) )
      | ~ hskp1 )
    & ( ( c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | c1_1(X76)
          | ~ c3_1(X76) )
      | hskp2
      | ! [X77] :
          ( c0_1(X77)
          | ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77) ) )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ ndr1_0
          | ~ c1_1(X97)
          | c0_1(X97) )
      | ! [X96] :
          ( c1_1(X96)
          | ~ ndr1_0
          | ~ c0_1(X96)
          | c2_1(X96) )
      | ! [X98] :
          ( ~ c1_1(X98)
          | ~ ndr1_0
          | ~ c0_1(X98)
          | c2_1(X98) ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0
          | ~ c2_1(X6) )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0
          | c1_1(X5) )
      | hskp5 )
    & ( hskp23
      | ! [X47] :
          ( ~ ndr1_0
          | c2_1(X47)
          | ~ c1_1(X47)
          | c3_1(X47) )
      | ! [X46] :
          ( ~ c3_1(X46)
          | c1_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp10
      | ! [X23] :
          ( ~ c0_1(X23)
          | c1_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | c1_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( ~ hskp26
      | ( ~ c3_1(a2484)
        & c0_1(a2484)
        & c1_1(a2484)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ~ hskp0
      | ( c3_1(a2402)
        & ~ c1_1(a2402)
        & c0_1(a2402)
        & ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c3_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a2453)
        & ~ c2_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ~ hskp24
      | ( ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0
        & ~ c3_1(a2468) ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) )
      | ~ hskp1 )
    & ( hskp5
      | ! [X5] :
          ( c1_1(X5)
          | ~ c2_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0
        & ~ c2_1(a2404) )
      | ~ hskp2 )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418) ) )
    & ( hskp3
      | hskp24
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( hskp15
      | hskp24
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c3_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 ) )
    & ( ~ hskp31
      | ( c2_1(a2498)
        & ndr1_0
        & c0_1(a2498)
        & c1_1(a2498) ) )
    & ( hskp2
      | ! [X4] :
          ( ~ c0_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | ~ c3_1(X3)
          | c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X93] :
          ( ~ c1_1(X93)
          | c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp23
      | ! [X91] :
          ( c3_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c2_1(X103)
          | c3_1(X103)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c2_1(a2412)
        & ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412) ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | hskp2
      | ! [X76] :
          ( c1_1(X76)
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a2425)
        & ~ c3_1(a2425)
        & ~ c2_1(a2425) )
      | ~ hskp16 )
    & ( hskp5
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) )
      | ~ hskp11 )
    & ( hskp12
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a2432)
        & ndr1_0
        & c3_1(a2432)
        & ~ c0_1(a2432) )
      | ~ hskp19 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( hskp0
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp20
      | ! [X94] :
          ( ~ c3_1(X94)
          | c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp21
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c3_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( ~ c0_1(X13)
          | ~ c2_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | hskp7
      | ! [X12] :
          ( ~ c3_1(X12)
          | c0_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c2_1(X28)
          | c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp26
      | hskp11 )
    & ( ! [X90] :
          ( c0_1(X90)
          | c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp4
      | ! [X89] :
          ( ~ c3_1(X89)
          | c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c1_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | c1_1(X99)
          | c3_1(X99)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X97] :
          ( c0_1(X97)
          | ~ c1_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a2408)
        & ndr1_0
        & ~ c2_1(a2408)
        & c3_1(a2408) )
      | ~ hskp5 )
    & ( hskp17
      | hskp18
      | ! [X85] :
          ( c0_1(X85)
          | c2_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c1_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | hskp0
      | hskp29 )
    & ( ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp26
      | hskp6 )
    & ( ~ hskp12
      | ( ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0
        & ~ c1_1(a2417) ) )
    & ( hskp2
      | ! [X64] :
          ( ~ c0_1(X64)
          | c2_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp27
      | hskp25 )
    & ( hskp3
      | hskp28
      | ! [X68] :
          ( c0_1(X68)
          | c1_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ~ hskp7
      | ( ~ c1_1(a2411)
        & ndr1_0
        & ~ c3_1(a2411)
        & c2_1(a2411) ) )
    & ( hskp11
      | ! [X108] :
          ( c1_1(X108)
          | c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X65] :
          ( ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp15
      | hskp11 )
    & ( hskp14
      | hskp23
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp25
      | ! [X95] :
          ( ~ c1_1(X95)
          | c2_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c3_1(X48)
          | c0_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( hskp15
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( hskp5
      | hskp25
      | hskp19 )
    & ( ( ndr1_0
        & ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407) )
      | ~ hskp4 )
    & ( hskp23
      | ! [X47] :
          ( c2_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c2_1(X54)
          | c0_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X104] :
          ( c1_1(X104)
          | c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X110] :
          ( c1_1(X110)
          | c2_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | hskp1
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c3_1(X9)
          | c0_1(X9)
          | c1_1(X9)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp3
      | ( ~ c3_1(a2405)
        & ndr1_0
        & c2_1(a2405)
        & c0_1(a2405) ) )
    & ( hskp9
      | hskp1
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2420)
        & c1_1(a2420)
        & c2_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp14
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c0_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | ~ c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ~ hskp25
      | ( ~ c0_1(a2478)
        & ndr1_0
        & c2_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( hskp30
      | hskp19
      | hskp26 )
    & ( ~ hskp28
      | ( c1_1(a2406)
        & c3_1(a2406)
        & ndr1_0
        & c2_1(a2406) ) )
    & ( hskp25
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X83] :
          ( c0_1(X83)
          | c2_1(X83)
          | c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a2413)
        & ndr1_0
        & ~ c1_1(a2413)
        & c2_1(a2413) )
      | ~ hskp9 )
    & ( hskp4
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c0_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | ~ c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | hskp21
      | hskp6 )
    & ( ( c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0
        & ~ c2_1(a2422) )
      | ~ hskp15 )
    & ( hskp12
      | ! [X49] :
          ( c1_1(X49)
          | ~ c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a2428)
        & ~ c0_1(a2428)
        & ~ c2_1(a2428) ) )
    & ( hskp22
      | hskp5
      | ! [X92] :
          ( ~ c0_1(X92)
          | c1_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a2500)
        & ndr1_0
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) )
      | ~ hskp27 )
    & ( ( c0_1(a2410)
        & ndr1_0
        & c1_1(a2410)
        & ~ c2_1(a2410) )
      | ~ hskp6 )
    & ( ! [X50] :
          ( c2_1(X50)
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp20
      | ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c3_1(a2409)
        & c2_1(a2409)
        & ndr1_0
        & c0_1(a2409) ) )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & ndr1_0
        & c0_1(a2450) )
      | ~ hskp30 )
    & ( hskp5
      | hskp18
      | hskp3 )
    & ( hskp16
      | ! [X111] :
          ( c3_1(X111)
          | ~ c2_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | hskp19
      | hskp5 )
    & ( hskp10
      | ! [X88] :
          ( c1_1(X88)
          | ~ c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c3_1(X37)
          | c0_1(X37)
          | ~ ndr1_0 )
      | hskp9
      | hskp28 )
    & ( ! [X33] :
          ( ~ c1_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp2
      | hskp30 )
    & ( ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( hskp30
      | ! [X42] :
          ( ~ c0_1(X42)
          | c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp7
      | hskp8
      | hskp9 )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c3_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | hskp16
      | hskp10 )
    & ( hskp6
      | hskp1
      | ! [X25] :
          ( ~ c1_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X31] :
          ( c3_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c2_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | hskp10 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp10
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c1_1(X23)
            | c3_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c1_1(X22)
            | c2_1(X22) ) ) )
    & ( ~ hskp26
      | ( ~ c3_1(a2484)
        & c0_1(a2484)
        & c1_1(a2484)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ~ hskp0
      | ( c3_1(a2402)
        & ~ c1_1(a2402)
        & c0_1(a2402)
        & ndr1_0 ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c3_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c3_1(X16)
            | c1_1(X16) ) ) )
    & ( ( ~ c1_1(a2453)
        & ~ c2_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ~ hskp24
      | ( ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0
        & ~ c3_1(a2468) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c1_1(X57)
            | c2_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | ~ c1_1(X55) ) ) )
    & ( ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) )
      | ~ hskp1 )
    & ( hskp5
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | ~ c2_1(X5)
            | c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | ~ c2_1(X6)
            | ~ c3_1(X6) ) ) )
    & ( ( ~ c3_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0
        & ~ c2_1(a2404) )
      | ~ hskp2 )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418) ) )
    & ( hskp3
      | hskp24
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c2_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp0
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c2_1(X24) ) )
      | hskp21 )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( hskp15
      | hskp24
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c3_1(X86)
            | c1_1(X86) ) ) )
    & ( ~ hskp31
      | ( c2_1(a2498)
        & ndr1_0
        & c0_1(a2498)
        & c1_1(a2498) ) )
    & ( hskp2
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | c3_1(X4)
            | ~ c2_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | ~ c3_1(X3)
            | c0_1(X3) ) ) )
    & ( hskp17
      | hskp21
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c0_1(X93)
            | ~ c3_1(X93) ) ) )
    & ( hskp6
      | hskp23
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | ~ c1_1(X91)
            | ~ c2_1(X91) ) ) )
    & ( hskp20
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c2_1(X103)
            | c3_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c0_1(X102)
            | ~ c2_1(X102) ) ) )
    & ( ~ hskp8
      | ( ~ c2_1(a2412)
        & ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c3_1(X77)
            | c0_1(X77) ) )
      | hskp2
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c3_1(X76)
            | ~ c2_1(X76) ) ) )
    & ( ( ndr1_0
        & c0_1(a2425)
        & ~ c3_1(a2425)
        & ~ c2_1(a2425) )
      | ~ hskp16 )
    & ( hskp5
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c2_1(X41)
            | ~ c1_1(X41) ) )
      | hskp1 )
    & ( ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) )
      | ~ hskp11 )
    & ( hskp12
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( hskp12
      | hskp11
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ( c1_1(a2432)
        & ndr1_0
        & c3_1(a2432)
        & ~ c0_1(a2432) )
      | ~ hskp19 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | ~ c2_1(X2) ) )
      | hskp8
      | hskp9 )
    & ( hskp0
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) )
      | hskp9 )
    & ( hskp20
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c0_1(X94)
            | ~ c1_1(X94) ) )
      | hskp7 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c1_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c1_1(X39)
            | c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp11
      | hskp21
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c3_1(X17)
            | c1_1(X17) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c2_1(X13)
            | c3_1(X13) ) )
      | hskp7
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | c0_1(X12)
            | ~ c1_1(X12) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c2_1(X29)
            | ~ c3_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c2_1(X28)
            | c0_1(X28)
            | c1_1(X28) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | c2_1(X30)
            | ~ c0_1(X30) ) ) )
    & ( hskp8
      | hskp26
      | hskp11 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c0_1(X90)
            | c1_1(X90)
            | ~ c2_1(X90) ) )
      | hskp4
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | c0_1(X89)
            | ~ c1_1(X89) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c2_1(X100)
            | c0_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c1_1(X99)
            | c3_1(X99) ) )
      | hskp19 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c0_1(X97)
            | ~ c1_1(X97)
            | c2_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) ) )
    & ( ( c0_1(a2408)
        & ndr1_0
        & ~ c2_1(a2408)
        & c3_1(a2408) )
      | ~ hskp5 )
    & ( hskp17
      | hskp18
      | ! [X85] :
          ( ndr1_0
         => ( c0_1(X85)
            | c2_1(X85)
            | ~ c1_1(X85) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) )
      | hskp0
      | hskp29 )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | ~ c1_1(X61) ) )
      | hskp26
      | hskp6 )
    & ( ~ hskp12
      | ( ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0
        & ~ c1_1(a2417) ) )
    & ( hskp2
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c2_1(X64)
            | ~ c1_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | ~ c2_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp31
      | hskp27
      | hskp25 )
    & ( hskp3
      | hskp28
      | ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | c1_1(X68)
            | c3_1(X68) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c2_1(X18)
            | ~ c1_1(X18) ) )
      | hskp30 )
    & ( ~ hskp7
      | ( ~ c1_1(a2411)
        & ndr1_0
        & ~ c3_1(a2411)
        & c2_1(a2411) ) )
    & ( hskp11
      | ! [X108] :
          ( ndr1_0
         => ( c1_1(X108)
            | c0_1(X108)
            | ~ c3_1(X108) ) )
      | hskp6 )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp15
      | hskp11 )
    & ( hskp14
      | hskp23
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | ~ c1_1(X78) ) ) )
    & ( hskp7
      | hskp25
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | c2_1(X95)
            | ~ c0_1(X95) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c0_1(X48)
            | c2_1(X48) ) )
      | hskp14
      | hskp1 )
    & ( hskp15
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | c0_1(X11) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) )
      | hskp13
      | hskp1 )
    & ( hskp5
      | hskp25
      | hskp19 )
    & ( ( ndr1_0
        & ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407) )
      | ~ hskp4 )
    & ( hskp23
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | c1_1(X46)
            | ~ c3_1(X46) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c0_1(X54)
            | c1_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | ~ c2_1(X52)
            | ~ c0_1(X52) ) ) )
    & ( hskp29
      | ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | c0_1(X104)
            | ~ c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | ~ c0_1(X105) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c0_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c3_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c1_1(X73)
            | c3_1(X73) ) ) )
    & ( hskp18
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp20 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c1_1(X110)
            | c2_1(X110)
            | c0_1(X110) ) )
      | hskp1
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | c1_1(X109)
            | ~ c2_1(X109) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c0_1(X9)
            | c1_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | ~ c1_1(X8) ) )
      | hskp2 )
    & ( ~ hskp3
      | ( ~ c3_1(a2405)
        & ndr1_0
        & c2_1(a2405)
        & c0_1(a2405) ) )
    & ( hskp9
      | hskp1
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( hskp16
      | hskp13
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( ( ~ c3_1(a2420)
        & c1_1(a2420)
        & c2_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp14
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c1_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c3_1(X69)
            | ~ c0_1(X69) ) ) )
    & ( hskp0
      | ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | ~ c3_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c0_1(X1)
            | c2_1(X1) ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c2_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c3_1(X80)
            | c2_1(X80) ) )
      | hskp1 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | ~ c1_1(X107)
            | c0_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | ~ c2_1(X106)
            | ~ c0_1(X106) ) )
      | hskp15 )
    & ( ~ hskp25
      | ( ~ c0_1(a2478)
        & ndr1_0
        & c2_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( hskp30
      | hskp19
      | hskp26 )
    & ( ~ hskp28
      | ( c1_1(a2406)
        & c3_1(a2406)
        & ndr1_0
        & c2_1(a2406) ) )
    & ( hskp25
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c1_1(X35)
            | c2_1(X35) ) )
      | hskp19 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | c2_1(X83)
            | c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c3_1(X84)
            | c0_1(X84) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) ) )
    & ( ( ~ c0_1(a2413)
        & ndr1_0
        & ~ c1_1(a2413)
        & c2_1(a2413) )
      | ~ hskp9 )
    & ( hskp4
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c3_1(X79)
            | c0_1(X79) ) )
      | hskp21
      | hskp6 )
    & ( ( c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0
        & ~ c2_1(a2422) )
      | ~ hskp15 )
    & ( hskp12
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | ~ c3_1(X49)
            | c0_1(X49) ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a2428)
        & ~ c0_1(a2428)
        & ~ c2_1(a2428) ) )
    & ( hskp22
      | hskp5
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c1_1(X92)
            | c2_1(X92) ) ) )
    & ( ( ~ c0_1(a2500)
        & ndr1_0
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) )
      | ~ hskp27 )
    & ( ( c0_1(a2410)
        & ndr1_0
        & c1_1(a2410)
        & ~ c2_1(a2410) )
      | ~ hskp6 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c3_1(X50)
            | ~ c1_1(X50) ) )
      | hskp20
      | ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c3_1(X51) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c3_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c2_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c1_1(X45)
            | ~ c2_1(X45) ) ) )
    & ( ~ hskp29
      | ( c3_1(a2409)
        & c2_1(a2409)
        & ndr1_0
        & c0_1(a2409) ) )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & ndr1_0
        & c0_1(a2450) )
      | ~ hskp30 )
    & ( hskp5
      | hskp18
      | hskp3 )
    & ( hskp16
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | ~ c2_1(X111)
            | c1_1(X111) ) )
      | hskp12 )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c3_1(X62)
            | c2_1(X62) ) )
      | hskp19
      | hskp5 )
    & ( hskp10
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c3_1(X88)
            | c0_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | c1_1(X87) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c3_1(X37)
            | c0_1(X37) ) )
      | hskp9
      | hskp28 )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | hskp2
      | hskp30 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c2_1(X10)
            | c1_1(X10) ) )
      | hskp6
      | hskp7 )
    & ( hskp30
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c1_1(X42)
            | c2_1(X42) ) )
      | hskp21 )
    & ( hskp7
      | hskp8
      | hskp9 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c3_1(X58)
            | c1_1(X58) ) )
      | hskp16
      | hskp10 )
    & ( hskp6
      | hskp1
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) ) )
    & ( hskp3
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | ~ c2_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | ~ c2_1(X32)
            | ~ c0_1(X32) ) ) )
    & ( ( c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | ~ c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | hskp10 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp10
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c1_1(X23)
                | c3_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c1_1(X22)
                | c2_1(X22) ) ) )
        & ( ~ hskp26
          | ( ~ c3_1(a2484)
            & c0_1(a2484)
            & c1_1(a2484)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a2455)
            & c3_1(a2455)
            & c2_1(a2455)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ~ hskp0
          | ( c3_1(a2402)
            & ~ c1_1(a2402)
            & c0_1(a2402)
            & ndr1_0 ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c3_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c3_1(X16)
                | c1_1(X16) ) ) )
        & ( ( ~ c1_1(a2453)
            & ~ c2_1(a2453)
            & ~ c0_1(a2453)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ~ hskp24
          | ( ~ c0_1(a2468)
            & c1_1(a2468)
            & ndr1_0
            & ~ c3_1(a2468) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c1_1(X57)
                | c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | ~ c1_1(X55) ) ) )
        & ( ( ndr1_0
            & c1_1(a2403)
            & ~ c2_1(a2403)
            & ~ c3_1(a2403) )
          | ~ hskp1 )
        & ( hskp5
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c2_1(X5)
                | c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c2_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ( ~ c3_1(a2404)
            & ~ c1_1(a2404)
            & ndr1_0
            & ~ c2_1(a2404) )
          | ~ hskp2 )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c0_1(a2418)
            & c2_1(a2418)
            & c1_1(a2418) ) )
        & ( hskp3
          | hskp24
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp0
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c2_1(X24) ) )
          | hskp21 )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2427)
            & c3_1(a2427)
            & ~ c1_1(a2427) ) )
        & ( hskp15
          | hskp24
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c3_1(X86)
                | c1_1(X86) ) ) )
        & ( ~ hskp31
          | ( c2_1(a2498)
            & ndr1_0
            & c0_1(a2498)
            & c1_1(a2498) ) )
        & ( hskp2
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c3_1(X4)
                | ~ c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c3_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp17
          | hskp21
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c0_1(X93)
                | ~ c3_1(X93) ) ) )
        & ( hskp6
          | hskp23
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) ) )
        & ( hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c2_1(X103)
                | c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | ~ c2_1(X102) ) ) )
        & ( ~ hskp8
          | ( ~ c2_1(a2412)
            & ndr1_0
            & c1_1(a2412)
            & ~ c0_1(a2412) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c3_1(X77)
                | c0_1(X77) ) )
          | hskp2
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c3_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( ( ndr1_0
            & c0_1(a2425)
            & ~ c3_1(a2425)
            & ~ c2_1(a2425) )
          | ~ hskp16 )
        & ( hskp5
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | hskp1 )
        & ( ( ndr1_0
            & c3_1(a2416)
            & ~ c1_1(a2416)
            & ~ c2_1(a2416) )
          | ~ hskp11 )
        & ( hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( hskp12
          | hskp11
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ( c1_1(a2432)
            & ndr1_0
            & c3_1(a2432)
            & ~ c0_1(a2432) )
          | ~ hskp19 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) )
          | hskp8
          | hskp9 )
        & ( hskp0
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) )
          | hskp9 )
        & ( hskp20
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c0_1(X94)
                | ~ c1_1(X94) ) )
          | hskp7 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c1_1(a2414)
            & c0_1(a2414)
            & ~ c3_1(a2414) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c1_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | hskp21
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c3_1(X17)
                | c1_1(X17) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c2_1(X13)
                | c3_1(X13) ) )
          | hskp7
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | c0_1(X12)
                | ~ c1_1(X12) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c2_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c0_1(X28)
                | c1_1(X28) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | ~ c0_1(X30) ) ) )
        & ( hskp8
          | hskp26
          | hskp11 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c0_1(X90)
                | c1_1(X90)
                | ~ c2_1(X90) ) )
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c0_1(X89)
                | ~ c1_1(X89) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c2_1(X100)
                | c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c1_1(X99)
                | c3_1(X99) ) )
          | hskp19 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c0_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) ) )
        & ( ( c0_1(a2408)
            & ndr1_0
            & ~ c2_1(a2408)
            & c3_1(a2408) )
          | ~ hskp5 )
        & ( hskp17
          | hskp18
          | ! [X85] :
              ( ndr1_0
             => ( c0_1(X85)
                | c2_1(X85)
                | ~ c1_1(X85) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) )
          | hskp0
          | hskp29 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) )
          | hskp26
          | hskp6 )
        & ( ~ hskp12
          | ( ~ c0_1(a2417)
            & c3_1(a2417)
            & ndr1_0
            & ~ c1_1(a2417) ) )
        & ( hskp2
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | ~ c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp31
          | hskp27
          | hskp25 )
        & ( hskp3
          | hskp28
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c1_1(X68)
                | c3_1(X68) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | ~ c1_1(X18) ) )
          | hskp30 )
        & ( ~ hskp7
          | ( ~ c1_1(a2411)
            & ndr1_0
            & ~ c3_1(a2411)
            & c2_1(a2411) ) )
        & ( hskp11
          | ! [X108] :
              ( ndr1_0
             => ( c1_1(X108)
                | c0_1(X108)
                | ~ c3_1(X108) ) )
          | hskp6 )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp15
          | hskp11 )
        & ( hskp14
          | hskp23
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) ) )
        & ( hskp7
          | hskp25
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c2_1(X95)
                | ~ c0_1(X95) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c0_1(X48)
                | c2_1(X48) ) )
          | hskp14
          | hskp1 )
        & ( hskp15
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) )
          | hskp13
          | hskp1 )
        & ( hskp5
          | hskp25
          | hskp19 )
        & ( ( ndr1_0
            & ~ c2_1(a2407)
            & ~ c1_1(a2407)
            & c0_1(a2407) )
          | ~ hskp4 )
        & ( hskp23
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | c1_1(X46)
                | ~ c3_1(X46) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c0_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | ~ c2_1(X52)
                | ~ c0_1(X52) ) ) )
        & ( hskp29
          | ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | c0_1(X104)
                | ~ c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c3_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) ) )
        & ( hskp18
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp20 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c1_1(X110)
                | c2_1(X110)
                | c0_1(X110) ) )
          | hskp1
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c1_1(X109)
                | ~ c2_1(X109) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c0_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | ~ c1_1(X8) ) )
          | hskp2 )
        & ( ~ hskp3
          | ( ~ c3_1(a2405)
            & ndr1_0
            & c2_1(a2405)
            & c0_1(a2405) ) )
        & ( hskp9
          | hskp1
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( hskp16
          | hskp13
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( ( ~ c3_1(a2420)
            & c1_1(a2420)
            & c2_1(a2420)
            & ndr1_0 )
          | ~ hskp14 )
        & ( hskp14
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) ) )
        & ( hskp0
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | ~ c3_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c0_1(X1)
                | c2_1(X1) ) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2437)
            & c2_1(a2437)
            & ~ c1_1(a2437) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c3_1(X80)
                | c2_1(X80) ) )
          | hskp1 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c1_1(X107)
                | c0_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) )
          | hskp15 )
        & ( ~ hskp25
          | ( ~ c0_1(a2478)
            & ndr1_0
            & c2_1(a2478)
            & ~ c3_1(a2478) ) )
        & ( hskp30
          | hskp19
          | hskp26 )
        & ( ~ hskp28
          | ( c1_1(a2406)
            & c3_1(a2406)
            & ndr1_0
            & c2_1(a2406) ) )
        & ( hskp25
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | hskp19 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | c2_1(X83)
                | c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c3_1(X84)
                | c0_1(X84) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ( ~ c0_1(a2413)
            & ndr1_0
            & ~ c1_1(a2413)
            & c2_1(a2413) )
          | ~ hskp9 )
        & ( hskp4
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | c0_1(X79) ) )
          | hskp21
          | hskp6 )
        & ( ( c3_1(a2422)
            & c1_1(a2422)
            & ndr1_0
            & ~ c2_1(a2422) )
          | ~ hskp15 )
        & ( hskp12
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c3_1(X49)
                | c0_1(X49) ) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c3_1(a2428)
            & ~ c0_1(a2428)
            & ~ c2_1(a2428) ) )
        & ( hskp22
          | hskp5
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c1_1(X92)
                | c2_1(X92) ) ) )
        & ( ( ~ c0_1(a2500)
            & ndr1_0
            & ~ c1_1(a2500)
            & ~ c3_1(a2500) )
          | ~ hskp27 )
        & ( ( c0_1(a2410)
            & ndr1_0
            & c1_1(a2410)
            & ~ c2_1(a2410) )
          | ~ hskp6 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c3_1(X50)
                | ~ c1_1(X50) ) )
          | hskp20
          | ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c3_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c1_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ~ hskp29
          | ( c3_1(a2409)
            & c2_1(a2409)
            & ndr1_0
            & c0_1(a2409) ) )
        & ( ( c3_1(a2450)
            & c1_1(a2450)
            & ndr1_0
            & c0_1(a2450) )
          | ~ hskp30 )
        & ( hskp5
          | hskp18
          | hskp3 )
        & ( hskp16
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c2_1(X111)
                | c1_1(X111) ) )
          | hskp12 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c3_1(X62)
                | c2_1(X62) ) )
          | hskp19
          | hskp5 )
        & ( hskp10
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c3_1(X88)
                | c0_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c3_1(X37)
                | c0_1(X37) ) )
          | hskp9
          | hskp28 )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | hskp2
          | hskp30 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c2_1(X10)
                | c1_1(X10) ) )
          | hskp6
          | hskp7 )
        & ( hskp30
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c1_1(X42)
                | c2_1(X42) ) )
          | hskp21 )
        & ( hskp7
          | hskp8
          | hskp9 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c3_1(X58)
                | c1_1(X58) ) )
          | hskp16
          | hskp10 )
        & ( hskp6
          | hskp1
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) ) )
        & ( hskp3
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c2_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c2_1(X32)
                | ~ c0_1(X32) ) ) )
        & ( ( c3_1(a2435)
            & ~ c0_1(a2435)
            & ~ c2_1(a2435)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | hskp10 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c0_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | hskp0 )
        & ( hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c0_1(X23)
                | c1_1(X23) ) )
          | hskp9 )
        & ( ( c1_1(a2432)
            & ndr1_0
            & c3_1(a2432)
            & ~ c0_1(a2432) )
          | ~ hskp19 )
        & ( hskp5
          | hskp25
          | hskp19 )
        & ( ~ hskp0
          | ( c3_1(a2402)
            & ~ c1_1(a2402)
            & c0_1(a2402)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a2500)
            & ndr1_0
            & ~ c1_1(a2500)
            & ~ c3_1(a2500) )
          | ~ hskp27 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c3_1(X44)
                | c2_1(X44) ) )
          | hskp2
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c2_1(X45)
                | c3_1(X45) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c0_1(X18)
                | c1_1(X18) ) )
          | hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c3_1(a2428)
            & ~ c0_1(a2428)
            & ~ c2_1(a2428) ) )
        & ( ( ~ c3_1(a2404)
            & ~ c1_1(a2404)
            & ndr1_0
            & ~ c2_1(a2404) )
          | ~ hskp2 )
        & ( ( c3_1(a2450)
            & c1_1(a2450)
            & ndr1_0
            & c0_1(a2450) )
          | ~ hskp30 )
        & ( hskp3
          | hskp24
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c0_1(a2418)
            & c2_1(a2418)
            & c1_1(a2418) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c0_1(X13)
                | c3_1(X13) ) )
          | hskp2 )
        & ( ~ hskp12
          | ( ~ c0_1(a2417)
            & c3_1(a2417)
            & ndr1_0
            & ~ c1_1(a2417) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2437)
            & c2_1(a2437)
            & ~ c1_1(a2437) ) )
        & ( ~ hskp3
          | ( ~ c3_1(a2405)
            & ndr1_0
            & c2_1(a2405)
            & c0_1(a2405) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | hskp7
          | hskp6 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c0_1(X64)
                | ~ c2_1(X64) ) )
          | hskp15 )
        & ( ~ hskp7
          | ( ~ c1_1(a2411)
            & ndr1_0
            & ~ c3_1(a2411)
            & c2_1(a2411) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c0_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c2_1(X56)
                | ~ c0_1(X56) ) )
          | hskp7 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( hskp21
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp11 )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp30
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) ) )
        & ( ( ~ c3_1(a2420)
            & c1_1(a2420)
            & c2_1(a2420)
            & ndr1_0 )
          | ~ hskp14 )
        & ( hskp10
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) ) )
        & ( hskp10
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c1_1(X66)
                | ~ c0_1(X66) ) ) )
        & ( hskp31
          | hskp27
          | hskp25 )
        & ( hskp21
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) )
          | hskp0 )
        & ( hskp1
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | hskp6 )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c0_1(X46)
                | c2_1(X46) ) )
          | hskp12
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | ~ c3_1(X47) ) ) )
        & ( ( c3_1(a2422)
            & c1_1(a2422)
            & ndr1_0
            & ~ c2_1(a2422) )
          | ~ hskp15 )
        & ( ~ hskp28
          | ( c1_1(a2406)
            & c3_1(a2406)
            & ndr1_0
            & c2_1(a2406) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | c1_1(X7) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c2_1(X9)
                | ~ c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c2_1(X8)
                | c3_1(X8) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c2_1(X78)
                | ~ c0_1(X78) ) )
          | hskp3 )
        & ( hskp2
          | hskp30
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( ~ hskp24
          | ( ~ c0_1(a2468)
            & c1_1(a2468)
            & ndr1_0
            & ~ c3_1(a2468) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) )
          | hskp9
          | hskp1 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | hskp25
          | hskp19 )
        & ( ( ndr1_0
            & c3_1(a2416)
            & ~ c1_1(a2416)
            & ~ c2_1(a2416) )
          | ~ hskp11 )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c1_1(X83)
                | c3_1(X83) ) )
          | hskp0
          | hskp9 )
        & ( hskp9
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp28 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c0_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c0_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c1_1(X96)
                | c2_1(X96) ) )
          | hskp5
          | hskp1 )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | hskp30
          | hskp21 )
        & ( hskp8
          | hskp26
          | hskp11 )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c3_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c2_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c1_1(X71)
                | ~ c3_1(X71) ) )
          | hskp23
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c2_1(X72)
                | c3_1(X72) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) )
          | hskp14
          | hskp1 )
        & ( hskp12
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp5
          | hskp18
          | hskp3 )
        & ( hskp30
          | hskp19
          | hskp26 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c3_1(X54)
                | ~ c1_1(X54) ) )
          | hskp20
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c2_1(X0)
                | c1_1(X0) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp10
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) )
          | hskp16 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c3_1(X49)
                | c1_1(X49) ) )
          | hskp4
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | hskp26
          | hskp6 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) )
          | hskp5
          | hskp19 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) )
          | hskp2 )
        & ( ~ hskp26
          | ( ~ c3_1(a2484)
            & c0_1(a2484)
            & c1_1(a2484)
            & ndr1_0 ) )
        & ( hskp11
          | hskp15
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | hskp29
          | hskp0 )
        & ( hskp18
          | hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) ) )
        & ( hskp3
          | hskp28
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c2_1(X81)
                | c1_1(X81) ) )
          | hskp14 )
        & ( ~ hskp31
          | ( c2_1(a2498)
            & ndr1_0
            & c0_1(a2498)
            & c1_1(a2498) ) )
        & ( ~ hskp25
          | ( ~ c0_1(a2478)
            & ndr1_0
            & c2_1(a2478)
            & ~ c3_1(a2478) ) )
        & ( ( ndr1_0
            & c1_1(a2403)
            & ~ c2_1(a2403)
            & ~ c3_1(a2403) )
          | ~ hskp1 )
        & ( hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c0_1(X42)
                | c2_1(X42) ) )
          | hskp13 )
        & ( hskp1
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | hskp13 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | hskp2
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c3_1(X60)
                | ~ c2_1(X60) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp23
          | hskp14 )
        & ( ~ hskp29
          | ( c3_1(a2409)
            & c2_1(a2409)
            & ndr1_0
            & c0_1(a2409) ) )
        & ( ( c0_1(a2408)
            & ndr1_0
            & ~ c2_1(a2408)
            & c3_1(a2408) )
          | ~ hskp5 )
        & ( hskp6
          | hskp21
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c1_1(X69)
                | c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp1 )
        & ( ( c0_1(a2410)
            & ndr1_0
            & c1_1(a2410)
            & ~ c2_1(a2410) )
          | ~ hskp6 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c1_1(a2414)
            & c0_1(a2414)
            & ~ c3_1(a2414) ) )
        & ( ( ~ c0_1(a2413)
            & ndr1_0
            & ~ c1_1(a2413)
            & c2_1(a2413) )
          | ~ hskp9 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c3_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c0_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | ~ c3_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp18
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c1_1(X43)
                | c2_1(X43) ) )
          | hskp17 )
        & ( hskp15
          | hskp24
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c3_1(X92)
                | ~ c2_1(X92) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c3_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) )
          | hskp10 )
        & ( ( ~ c0_1(a2455)
            & c3_1(a2455)
            & c2_1(a2455)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c0_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) )
          | hskp4 )
        & ( ~ hskp8
          | ( ~ c2_1(a2412)
            & ndr1_0
            & c1_1(a2412)
            & ~ c0_1(a2412) ) )
        & ( hskp6
          | hskp23
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c3_1(X106)
                | ~ c1_1(X106) ) ) )
        & ( hskp22
          | hskp5
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) ) )
        & ( hskp17
          | hskp21
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c0_1(X57)
                | ~ c3_1(X57) ) ) )
        & ( ( ndr1_0
            & c0_1(a2425)
            & ~ c3_1(a2425)
            & ~ c2_1(a2425) )
          | ~ hskp16 )
        & ( hskp7
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | hskp20 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | hskp7
          | hskp25 )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c1_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c2_1(X38) ) ) )
        & ( hskp19
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp7
          | hskp8
          | hskp9 )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) )
          | hskp12 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | hskp20 )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2427)
            & c3_1(a2427)
            & ~ c1_1(a2427) ) )
        & ( hskp29
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | ~ c3_1(X21)
                | c1_1(X21) ) ) )
        & ( ( c3_1(a2435)
            & ~ c0_1(a2435)
            & ~ c2_1(a2435)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ndr1_0
            & ~ c2_1(a2407)
            & ~ c1_1(a2407)
            & c0_1(a2407) )
          | ~ hskp4 )
        & ( ( ~ c1_1(a2453)
            & ~ c2_1(a2453)
            & ~ c0_1(a2453)
            & ndr1_0 )
          | ~ hskp22 )
        & ( hskp15
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c3_1(X29)
                | c1_1(X29) ) )
          | hskp11 )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | c1_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) ) )
        & ( hskp16
          | hskp12
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c0_1(X4)
              | ~ c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | hskp0 )
      & ( hskp8
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c0_1(X23)
              | c1_1(X23) ) )
        | hskp9 )
      & ( ( c1_1(a2432)
          & ndr1_0
          & c3_1(a2432)
          & ~ c0_1(a2432) )
        | ~ hskp19 )
      & ( hskp5
        | hskp25
        | hskp19 )
      & ( ~ hskp0
        | ( c3_1(a2402)
          & ~ c1_1(a2402)
          & c0_1(a2402)
          & ndr1_0 ) )
      & ( ( ~ c0_1(a2500)
          & ndr1_0
          & ~ c1_1(a2500)
          & ~ c3_1(a2500) )
        | ~ hskp27 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c3_1(X44)
              | c2_1(X44) ) )
        | hskp2
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c2_1(X45)
              | c3_1(X45) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c0_1(X18)
              | c1_1(X18) ) )
        | hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c0_1(X19) ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c3_1(a2428)
          & ~ c0_1(a2428)
          & ~ c2_1(a2428) ) )
      & ( ( ~ c3_1(a2404)
          & ~ c1_1(a2404)
          & ndr1_0
          & ~ c2_1(a2404) )
        | ~ hskp2 )
      & ( ( c3_1(a2450)
          & c1_1(a2450)
          & ndr1_0
          & c0_1(a2450) )
        | ~ hskp30 )
      & ( hskp3
        | hskp24
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c0_1(a2418)
          & c2_1(a2418)
          & c1_1(a2418) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | ~ c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c0_1(X13)
              | c3_1(X13) ) )
        | hskp2 )
      & ( ~ hskp12
        | ( ~ c0_1(a2417)
          & c3_1(a2417)
          & ndr1_0
          & ~ c1_1(a2417) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2437)
          & c2_1(a2437)
          & ~ c1_1(a2437) ) )
      & ( ~ hskp3
        | ( ~ c3_1(a2405)
          & ndr1_0
          & c2_1(a2405)
          & c0_1(a2405) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | hskp7
        | hskp6 )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c0_1(X64)
              | ~ c2_1(X64) ) )
        | hskp15 )
      & ( ~ hskp7
        | ( ~ c1_1(a2411)
          & ndr1_0
          & ~ c3_1(a2411)
          & c2_1(a2411) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c0_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c2_1(X56)
              | ~ c0_1(X56) ) )
        | hskp7 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | c1_1(X88)
              | ~ c3_1(X88) ) ) )
      & ( hskp21
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp11 )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp30
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) ) )
      & ( ( ~ c3_1(a2420)
          & c1_1(a2420)
          & c2_1(a2420)
          & ndr1_0 )
        | ~ hskp14 )
      & ( hskp10
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | c3_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) ) )
      & ( hskp10
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c1_1(X66)
              | ~ c0_1(X66) ) ) )
      & ( hskp31
        | hskp27
        | hskp25 )
      & ( hskp21
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) )
        | hskp0 )
      & ( hskp1
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | hskp6 )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c0_1(X46)
              | c2_1(X46) ) )
        | hskp12
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | ~ c3_1(X47) ) ) )
      & ( ( c3_1(a2422)
          & c1_1(a2422)
          & ndr1_0
          & ~ c2_1(a2422) )
        | ~ hskp15 )
      & ( ~ hskp28
        | ( c1_1(a2406)
          & c3_1(a2406)
          & ndr1_0
          & c2_1(a2406) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | c1_1(X7) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c2_1(X9)
              | ~ c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | c2_1(X8)
              | c3_1(X8) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c2_1(X78)
              | ~ c0_1(X78) ) )
        | hskp3 )
      & ( hskp2
        | hskp30
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( ~ hskp24
        | ( ~ c0_1(a2468)
          & c1_1(a2468)
          & ndr1_0
          & ~ c3_1(a2468) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) )
        | hskp9
        | hskp1 )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c1_1(X97)
              | c2_1(X97) ) )
        | hskp25
        | hskp19 )
      & ( ( ndr1_0
          & c3_1(a2416)
          & ~ c1_1(a2416)
          & ~ c2_1(a2416) )
        | ~ hskp11 )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | c1_1(X83)
              | c3_1(X83) ) )
        | hskp0
        | hskp9 )
      & ( hskp9
        | ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp28 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c0_1(X31)
              | c2_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c0_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c1_1(X96)
              | c2_1(X96) ) )
        | hskp5
        | hskp1 )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) )
        | hskp30
        | hskp21 )
      & ( hskp8
        | hskp26
        | hskp11 )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c3_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | c2_1(X86)
              | ~ c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c2_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | c1_1(X71)
              | ~ c3_1(X71) ) )
        | hskp23
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c2_1(X72)
              | c3_1(X72) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) )
        | hskp14
        | hskp1 )
      & ( hskp12
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c0_1(X30)
              | c1_1(X30) ) ) )
      & ( hskp5
        | hskp18
        | hskp3 )
      & ( hskp30
        | hskp19
        | hskp26 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c3_1(X54)
              | ~ c1_1(X54) ) )
        | hskp20
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c2_1(X0)
              | c1_1(X0) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c3_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp10
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) )
        | hskp16 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | ~ c3_1(X49)
              | c1_1(X49) ) )
        | hskp4
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) )
        | hskp26
        | hskp6 )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) )
        | hskp5
        | hskp19 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c1_1(X80) ) )
        | hskp2 )
      & ( ~ hskp26
        | ( ~ c3_1(a2484)
          & c0_1(a2484)
          & c1_1(a2484)
          & ndr1_0 ) )
      & ( hskp11
        | hskp15
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c3_1(X111) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | hskp29
        | hskp0 )
      & ( hskp18
        | hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c2_1(X109)
              | ~ c3_1(X109) ) ) )
      & ( hskp3
        | hskp28
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c1_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c2_1(X81)
              | c1_1(X81) ) )
        | hskp14 )
      & ( ~ hskp31
        | ( c2_1(a2498)
          & ndr1_0
          & c0_1(a2498)
          & c1_1(a2498) ) )
      & ( ~ hskp25
        | ( ~ c0_1(a2478)
          & ndr1_0
          & c2_1(a2478)
          & ~ c3_1(a2478) ) )
      & ( ( ndr1_0
          & c1_1(a2403)
          & ~ c2_1(a2403)
          & ~ c3_1(a2403) )
        | ~ hskp1 )
      & ( hskp16
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c0_1(X42)
              | c2_1(X42) ) )
        | hskp13 )
      & ( hskp1
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | hskp13 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | c3_1(X74) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c2_1(X76) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | hskp2
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c3_1(X60)
              | ~ c2_1(X60) ) ) )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp23
        | hskp14 )
      & ( ~ hskp29
        | ( c3_1(a2409)
          & c2_1(a2409)
          & ndr1_0
          & c0_1(a2409) ) )
      & ( ( c0_1(a2408)
          & ndr1_0
          & ~ c2_1(a2408)
          & c3_1(a2408) )
        | ~ hskp5 )
      & ( hskp6
        | hskp21
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c1_1(X69)
              | c2_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp1 )
      & ( ( c0_1(a2410)
          & ndr1_0
          & c1_1(a2410)
          & ~ c2_1(a2410) )
        | ~ hskp6 )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c1_1(a2414)
          & c0_1(a2414)
          & ~ c3_1(a2414) ) )
      & ( ( ~ c0_1(a2413)
          & ndr1_0
          & ~ c1_1(a2413)
          & c2_1(a2413) )
        | ~ hskp9 )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | ~ c3_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c0_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | ~ c3_1(X24)
              | c1_1(X24) ) ) )
      & ( hskp18
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c1_1(X43)
              | c2_1(X43) ) )
        | hskp17 )
      & ( hskp15
        | hskp24
        | ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c3_1(X92)
              | ~ c2_1(X92) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | ~ c3_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) )
        | hskp10 )
      & ( ( ~ c0_1(a2455)
          & c3_1(a2455)
          & c2_1(a2455)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c0_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) )
        | hskp4 )
      & ( ~ hskp8
        | ( ~ c2_1(a2412)
          & ndr1_0
          & c1_1(a2412)
          & ~ c0_1(a2412) ) )
      & ( hskp6
        | hskp23
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | c3_1(X106)
              | ~ c1_1(X106) ) ) )
      & ( hskp22
        | hskp5
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) ) )
      & ( hskp17
        | hskp21
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c0_1(X57)
              | ~ c3_1(X57) ) ) )
      & ( ( ndr1_0
          & c0_1(a2425)
          & ~ c3_1(a2425)
          & ~ c2_1(a2425) )
        | ~ hskp16 )
      & ( hskp7
        | ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | hskp20 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | hskp7
        | hskp25 )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | c1_1(X37)
              | c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c0_1(X38)
              | c2_1(X38) ) ) )
      & ( hskp19
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp7
        | hskp8
        | hskp9 )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) )
        | hskp12 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | hskp20 )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a2427)
          & c3_1(a2427)
          & ~ c1_1(a2427) ) )
      & ( hskp29
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | ~ c3_1(X21)
              | c1_1(X21) ) ) )
      & ( ( c3_1(a2435)
          & ~ c0_1(a2435)
          & ~ c2_1(a2435)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ndr1_0
          & ~ c2_1(a2407)
          & ~ c1_1(a2407)
          & c0_1(a2407) )
        | ~ hskp4 )
      & ( ( ~ c1_1(a2453)
          & ~ c2_1(a2453)
          & ~ c0_1(a2453)
          & ndr1_0 )
        | ~ hskp22 )
      & ( hskp15
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c3_1(X29)
              | c1_1(X29) ) )
        | hskp11 )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | c1_1(X6)
              | ~ c2_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) ) )
      & ( hskp16
        | hskp12
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1046,plain,
    ( spl0_21
    | spl0_19
    | spl0_26
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f123,f250,f356,f326,f334]) ).

fof(f326,plain,
    ( spl0_19
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f356,plain,
    ( spl0_26
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f250,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f123,plain,
    ! [X46] :
      ( ~ ndr1_0
      | hskp7
      | hskp25
      | ~ c0_1(X46)
      | c2_1(X46)
      | ~ c1_1(X46) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1045,plain,
    ( ~ spl0_2
    | spl0_72
    | spl0_52
    | spl0_62 ),
    inference(avatar_split_clause,[],[f163,f520,f470,f565,f250]) ).

fof(f565,plain,
    ( spl0_72
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f470,plain,
    ( spl0_52
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f163,plain,
    ! [X34] :
      ( c2_1(X34)
      | hskp17
      | hskp18
      | c0_1(X34)
      | ~ ndr1_0
      | ~ c1_1(X34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1044,plain,
    ( spl0_157
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f40,f273,f1041]) ).

fof(f273,plain,
    ( spl0_7
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f40,plain,
    ( ~ hskp11
    | c3_1(a2416) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1039,plain,
    ( spl0_54
    | ~ spl0_2
    | spl0_94
    | spl0_93 ),
    inference(avatar_split_clause,[],[f212,f678,f683,f250,f479]) ).

fof(f479,plain,
    ( spl0_54
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f212,plain,
    ! [X59,X60] :
      ( ~ c3_1(X60)
      | ~ c1_1(X60)
      | ~ c0_1(X59)
      | c2_1(X60)
      | ~ c1_1(X59)
      | c3_1(X59)
      | ~ ndr1_0
      | hskp30 ),
    inference(duplicate_literal_removal,[],[f104]) ).

fof(f104,plain,
    ! [X59,X60] :
      ( hskp30
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ c0_1(X59)
      | ~ c1_1(X60)
      | ~ c3_1(X60) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1038,plain,
    ( spl0_28
    | ~ spl0_2
    | spl0_47
    | spl0_156 ),
    inference(avatar_split_clause,[],[f95,f1036,f446,f250,f365]) ).

fof(f365,plain,
    ( spl0_28
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f446,plain,
    ( spl0_47
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f95,plain,
    ! [X69] :
      ( c3_1(X69)
      | hskp6
      | ~ ndr1_0
      | ~ c1_1(X69)
      | ~ c2_1(X69)
      | hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1034,plain,
    ( ~ spl0_2
    | spl0_58
    | spl0_73
    | spl0_70 ),
    inference(avatar_split_clause,[],[f213,f557,f570,f498,f250]) ).

fof(f498,plain,
    ( spl0_58
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f213,plain,
    ! [X70,X71] :
      ( c3_1(X71)
      | c0_1(X70)
      | c2_1(X70)
      | ~ c3_1(X70)
      | hskp2
      | ~ ndr1_0
      | ~ c0_1(X71)
      | ~ c2_1(X71) ),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ! [X70,X71] :
      ( ~ ndr1_0
      | ~ c0_1(X71)
      | ~ c3_1(X70)
      | c3_1(X71)
      | ~ ndr1_0
      | c2_1(X70)
      | ~ c2_1(X71)
      | hskp2
      | c0_1(X70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1032,plain,
    ( ~ spl0_14
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f16,f1029,f304]) ).

fof(f304,plain,
    ( spl0_14
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f16,plain,
    ( ~ c3_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1027,plain,
    ( ~ spl0_154
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f73,f537,f1024]) ).

fof(f537,plain,
    ( spl0_66
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f73,plain,
    ( ~ hskp27
    | ~ c3_1(a2500) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1022,plain,
    ( spl0_153
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f50,f407,f1019]) ).

fof(f407,plain,
    ( spl0_38
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f50,plain,
    ( ~ hskp3
    | c0_1(a2405) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1012,plain,
    ( ~ spl0_81
    | spl0_2 ),
    inference(avatar_split_clause,[],[f120,f250,f609]) ).

fof(f609,plain,
    ( spl0_81
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f120,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1011,plain,
    ( spl0_151
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f90,f523,f1008]) ).

fof(f523,plain,
    ( spl0_63
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f90,plain,
    ( ~ hskp13
    | c2_1(a2418) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1005,plain,
    ( spl0_24
    | ~ spl0_2
    | spl0_71
    | spl0_38 ),
    inference(avatar_split_clause,[],[f48,f407,f560,f250,f347]) ).

fof(f347,plain,
    ( spl0_24
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f48,plain,
    ! [X92] :
      ( hskp3
      | ~ c1_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0
      | hskp24
      | ~ c0_1(X92) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1003,plain,
    ( ~ spl0_66
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f74,f1000,f537]) ).

fof(f74,plain,
    ( ~ c1_1(a2500)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f998,plain,
    ( spl0_20
    | spl0_54
    | spl0_18 ),
    inference(avatar_split_clause,[],[f97,f321,f479,f330]) ).

fof(f330,plain,
    ( spl0_20
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f321,plain,
    ( spl0_18
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f97,plain,
    ( hskp26
    | hskp30
    | hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f997,plain,
    ( spl0_122
    | spl0_64
    | ~ spl0_2
    | spl0_33 ),
    inference(avatar_split_clause,[],[f215,f383,f250,f528,f840]) ).

fof(f215,plain,
    ! [X14,X15,X13] :
      ( c1_1(X15)
      | ~ ndr1_0
      | ~ c2_1(X15)
      | ~ c0_1(X14)
      | ~ c0_1(X13)
      | ~ c3_1(X15)
      | c2_1(X13)
      | ~ c3_1(X14)
      | ~ c1_1(X14)
      | c3_1(X13) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X14,X15,X13] :
      ( c3_1(X13)
      | ~ ndr1_0
      | c2_1(X13)
      | ~ c2_1(X15)
      | ~ c0_1(X13)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c3_1(X14)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | c1_1(X15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f996,plain,
    ( spl0_21
    | ~ spl0_2
    | spl0_58
    | spl0_68 ),
    inference(avatar_split_clause,[],[f216,f547,f498,f250,f334]) ).

fof(f216,plain,
    ! [X10,X11] :
      ( c3_1(X11)
      | c1_1(X11)
      | hskp2
      | ~ ndr1_0
      | c2_1(X10)
      | ~ c2_1(X11)
      | ~ c0_1(X10)
      | ~ c1_1(X10) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X10,X11] :
      ( ~ c1_1(X10)
      | hskp2
      | ~ ndr1_0
      | c1_1(X11)
      | ~ ndr1_0
      | c3_1(X11)
      | ~ c2_1(X11)
      | ~ c0_1(X10)
      | c2_1(X10) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f995,plain,
    ( ~ spl0_2
    | spl0_138
    | spl0_30
    | spl0_136 ),
    inference(avatar_split_clause,[],[f217,f910,f372,f923,f250]) ).

fof(f217,plain,
    ! [X101,X102,X100] :
      ( ~ c0_1(X102)
      | ~ c3_1(X102)
      | c3_1(X101)
      | c2_1(X101)
      | ~ c1_1(X101)
      | ~ c2_1(X100)
      | ~ c0_1(X100)
      | ~ c2_1(X102)
      | c1_1(X100)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f20,plain,
    ! [X101,X102,X100] :
      ( ~ ndr1_0
      | ~ c2_1(X100)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | ~ c0_1(X102)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | c1_1(X100)
      | ~ c0_1(X100)
      | c3_1(X101)
      | ~ c2_1(X102)
      | c2_1(X101) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f994,plain,
    ( ~ spl0_149
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f44,f415,f991]) ).

fof(f415,plain,
    ( spl0_40
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f44,plain,
    ( ~ hskp0
    | ~ c1_1(a2402) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f989,plain,
    ( ~ spl0_18
    | spl0_148 ),
    inference(avatar_split_clause,[],[f176,f986,f321]) ).

fof(f176,plain,
    ( c1_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f982,plain,
    ( ~ spl0_147
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f55,f672,f979]) ).

fof(f672,plain,
    ( spl0_92
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f55,plain,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f977,plain,
    ( spl0_116
    | spl0_36
    | ~ spl0_2
    | spl0_55 ),
    inference(avatar_split_clause,[],[f164,f483,f250,f396,f810]) ).

fof(f810,plain,
    ( spl0_116
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f396,plain,
    ( spl0_36
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f164,plain,
    ! [X33] :
      ( c2_1(X33)
      | c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | hskp5
      | hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f976,plain,
    ( ~ spl0_116
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f69,f973,f810]) ).

fof(f69,plain,
    ( ~ c1_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f971,plain,
    ( spl0_145
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f144,f282,f968]) ).

fof(f282,plain,
    ( spl0_9
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f144,plain,
    ( ~ hskp14
    | c2_1(a2420) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f966,plain,
    ( ~ spl0_19
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f201,f963,f326]) ).

fof(f201,plain,
    ( ~ c3_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f960,plain,
    ( spl0_143
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f106,f365,f957]) ).

fof(f106,plain,
    ( ~ hskp23
    | c2_1(a2455) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f954,plain,
    ( ~ spl0_58
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f162,f951,f498]) ).

fof(f162,plain,
    ( ~ c3_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f949,plain,
    ( spl0_20
    | spl0_77
    | ~ spl0_2
    | spl0_128 ),
    inference(avatar_split_clause,[],[f218,f868,f250,f590,f330]) ).

fof(f218,plain,
    ! [X28,X27] :
      ( c1_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | ~ c1_1(X28)
      | c3_1(X27)
      | hskp19
      | ~ c2_1(X28) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X28,X27] :
      ( ~ c1_1(X28)
      | ~ c2_1(X28)
      | hskp19
      | c1_1(X27)
      | c3_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f948,plain,
    ( spl0_141
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f86,f479,f945]) ).

fof(f86,plain,
    ( ~ hskp30
    | c1_1(a2450) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f943,plain,
    ( ~ spl0_63
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f91,f940,f523]) ).

fof(f91,plain,
    ( ~ c0_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f936,plain,
    ( ~ spl0_31
    | spl0_139 ),
    inference(avatar_split_clause,[],[f33,f933,f376]) ).

fof(f376,plain,
    ( spl0_31
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f33,plain,
    ( c0_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f930,plain,
    ( spl0_31
    | ~ spl0_2
    | spl0_12
    | spl0_29 ),
    inference(avatar_split_clause,[],[f25,f369,f295,f250,f376]) ).

fof(f295,plain,
    ( spl0_12
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f25,plain,
    ! [X99] :
      ( c2_1(X99)
      | hskp16
      | ~ ndr1_0
      | ~ c3_1(X99)
      | c1_1(X99)
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f929,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f203,f326,f250]) ).

fof(f203,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f928,plain,
    ( ~ spl0_2
    | spl0_68
    | spl0_38
    | spl0_138 ),
    inference(avatar_split_clause,[],[f219,f923,f407,f547,f250]) ).

fof(f219,plain,
    ! [X50,X51] :
      ( ~ c0_1(X50)
      | hskp3
      | ~ c2_1(X51)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c1_1(X50)
      | c1_1(X51)
      | c3_1(X51) ),
    inference(duplicate_literal_removal,[],[f117]) ).

fof(f117,plain,
    ! [X50,X51] :
      ( ~ ndr1_0
      | ~ c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | ~ c2_1(X51)
      | c3_1(X51)
      | hskp3
      | c1_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f927,plain,
    ( spl0_63
    | ~ spl0_2
    | spl0_14
    | spl0_78 ),
    inference(avatar_split_clause,[],[f100,f595,f304,f250,f523]) ).

fof(f100,plain,
    ! [X64] :
      ( c3_1(X64)
      | hskp1
      | ~ ndr1_0
      | c0_1(X64)
      | hskp13
      | c2_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f926,plain,
    ( spl0_81
    | spl0_66
    | spl0_19 ),
    inference(avatar_split_clause,[],[f186,f326,f537,f609]) ).

fof(f186,plain,
    ( hskp25
    | hskp27
    | hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f925,plain,
    ( spl0_11
    | ~ spl0_2
    | spl0_51
    | spl0_138 ),
    inference(avatar_split_clause,[],[f220,f923,f466,f250,f291]) ).

fof(f220,plain,
    ! [X40,X38,X39] :
      ( c1_1(X38)
      | c2_1(X39)
      | c1_1(X39)
      | c0_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c0_1(X38)
      | ~ c2_1(X38)
      | ~ c2_1(X40)
      | c0_1(X40) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X40,X38,X39] :
      ( ~ c2_1(X38)
      | ~ ndr1_0
      | c1_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X39)
      | c1_1(X40)
      | c1_1(X39)
      | ~ c2_1(X40)
      | c0_1(X40)
      | c0_1(X39) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f921,plain,
    ( spl0_36
    | spl0_20
    | ~ spl0_2
    | spl0_122 ),
    inference(avatar_split_clause,[],[f116,f840,f250,f330,f396]) ).

fof(f116,plain,
    ! [X52] :
      ( c2_1(X52)
      | ~ ndr1_0
      | hskp19
      | ~ c0_1(X52)
      | hskp5
      | c3_1(X52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f920,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_68
    | spl0_94 ),
    inference(avatar_split_clause,[],[f221,f683,f547,f282,f250]) ).

fof(f221,plain,
    ! [X83,X84] :
      ( ~ c0_1(X84)
      | ~ c1_1(X84)
      | c3_1(X84)
      | c3_1(X83)
      | ~ c2_1(X83)
      | c1_1(X83)
      | hskp14
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f70,plain,
    ! [X83,X84] :
      ( c3_1(X83)
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X83)
      | c1_1(X83)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f918,plain,
    ( ~ spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f246,f915]) ).

fof(f246,plain,
    ( spl0_1
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f136,plain,
    ( ~ hskp9
    | ~ c0_1(a2413) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( spl0_72
    | spl0_136
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f37,f250,f259,f910,f565]) ).

fof(f259,plain,
    ( spl0_4
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f37,plain,
    ! [X95] :
      ( ~ ndr1_0
      | hskp20
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | hskp18
      | ~ c0_1(X95) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f907,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_15
    | spl0_93 ),
    inference(avatar_split_clause,[],[f223,f678,f308,f259,f250]) ).

fof(f223,plain,
    ! [X66,X67] :
      ( ~ c3_1(X67)
      | c0_1(X66)
      | c2_1(X67)
      | hskp20
      | ~ c3_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X66)
      | ~ c1_1(X67) ),
    inference(duplicate_literal_removal,[],[f98]) ).

fof(f98,plain,
    ! [X66,X67] :
      ( ~ c3_1(X66)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X67)
      | ~ c3_1(X67)
      | ~ c1_1(X67)
      | hskp20
      | c0_1(X66)
      | ~ c1_1(X66) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f906,plain,
    ( ~ spl0_135
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f166,f264,f903]) ).

fof(f166,plain,
    ( ~ hskp4
    | ~ c1_1(a2407) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f901,plain,
    ( ~ spl0_134
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f178,f321,f898]) ).

fof(f178,plain,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f896,plain,
    ( ~ spl0_133
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f111,f565,f893]) ).

fof(f111,plain,
    ( ~ hskp18
    | ~ c2_1(a2428) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f891,plain,
    ( ~ spl0_132
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f67,f810,f888]) ).

fof(f67,plain,
    ( ~ hskp22
    | ~ c0_1(a2453) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f885,plain,
    ( spl0_131
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f22,f446,f882]) ).

fof(f22,plain,
    ( ~ hskp6
    | c1_1(a2410) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f880,plain,
    ( ~ spl0_1
    | spl0_130 ),
    inference(avatar_split_clause,[],[f133,f877,f246]) ).

fof(f133,plain,
    ( c2_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f875,plain,
    ( ~ spl0_50
    | spl0_129 ),
    inference(avatar_split_clause,[],[f127,f872,f461]) ).

fof(f461,plain,
    ( spl0_50
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f127,plain,
    ( c2_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f870,plain,
    ( spl0_128
    | spl0_44
    | ~ spl0_2
    | spl0_94 ),
    inference(avatar_split_clause,[],[f225,f683,f250,f435,f868]) ).

fof(f225,plain,
    ! [X6,X4,X5] :
      ( ~ c0_1(X6)
      | ~ ndr1_0
      | c3_1(X6)
      | ~ c2_1(X5)
      | c1_1(X4)
      | ~ c1_1(X6)
      | ~ c3_1(X5)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ c1_1(X5) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ! [X6,X4,X5] :
      ( ~ ndr1_0
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X6)
      | ~ c0_1(X4)
      | c1_1(X4)
      | c3_1(X6)
      | c3_1(X4)
      | ~ c1_1(X6)
      | ~ ndr1_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( ~ spl0_127
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f68,f810,f863]) ).

fof(f68,plain,
    ( ~ hskp22
    | ~ c2_1(a2453) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f861,plain,
    ( spl0_126
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f45,f415,f858]) ).

fof(f45,plain,
    ( ~ hskp0
    | c3_1(a2402) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f856,plain,
    ( ~ spl0_20
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f60,f853,f330]) ).

fof(f60,plain,
    ( ~ c0_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f851,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_50
    | spl0_124 ),
    inference(avatar_split_clause,[],[f226,f849,f461,f291,f250]) ).

fof(f226,plain,
    ! [X44,X45] :
      ( ~ c0_1(X45)
      | hskp29
      | c1_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f124]) ).

fof(f124,plain,
    ! [X44,X45] :
      ( ~ ndr1_0
      | hskp29
      | ~ c2_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c0_1(X45)
      | c1_1(X44)
      | c0_1(X44)
      | c1_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f847,plain,
    ( spl0_123
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f125,f461,f844]) ).

fof(f125,plain,
    ( ~ hskp29
    | c0_1(a2409) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f842,plain,
    ( ~ spl0_2
    | spl0_122
    | spl0_93
    | spl0_51 ),
    inference(avatar_split_clause,[],[f227,f466,f678,f840,f250]) ).

fof(f227,plain,
    ! [X78,X76,X77] :
      ( c0_1(X78)
      | ~ c3_1(X77)
      | c3_1(X76)
      | c2_1(X77)
      | ~ c1_1(X77)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | c1_1(X78)
      | c2_1(X76) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f78,plain,
    ! [X78,X76,X77] :
      ( ~ ndr1_0
      | c2_1(X78)
      | ~ c0_1(X76)
      | c2_1(X77)
      | c3_1(X76)
      | c0_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c1_1(X78)
      | c2_1(X76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f838,plain,
    ( ~ spl0_72
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f113,f835,f565]) ).

fof(f113,plain,
    ( ~ c3_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f833,plain,
    ( spl0_120
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f82,f470,f830]) ).

fof(f82,plain,
    ( ~ hskp17
    | c2_1(a2427) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f828,plain,
    ( ~ spl0_24
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f139,f825,f347]) ).

fof(f139,plain,
    ( ~ c3_1(a2468)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f823,plain,
    ( ~ spl0_47
    | spl0_118 ),
    inference(avatar_split_clause,[],[f24,f820,f446]) ).

fof(f24,plain,
    ( c0_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f818,plain,
    ( spl0_117
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f147,f396,f815]) ).

fof(f147,plain,
    ( ~ hskp5
    | c3_1(a2408) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f807,plain,
    ( ~ spl0_92
    | spl0_115 ),
    inference(avatar_split_clause,[],[f58,f804,f672]) ).

fof(f58,plain,
    ( c3_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f802,plain,
    ( spl0_114
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f63,f330,f799]) ).

fof(f63,plain,
    ( ~ hskp19
    | c1_1(a2432) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f797,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_92
    | spl0_44 ),
    inference(avatar_split_clause,[],[f137,f435,f672,f273,f250]) ).

fof(f137,plain,
    ! [X43] :
      ( ~ c1_1(X43)
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | hskp15
      | hskp11
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f796,plain,
    ( ~ spl0_36
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f148,f793,f396]) ).

fof(f148,plain,
    ( ~ c2_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f791,plain,
    ( ~ spl0_1
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f134,f788,f246]) ).

fof(f134,plain,
    ( ~ c1_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f786,plain,
    ( ~ spl0_2
    | spl0_71
    | spl0_62
    | spl0_92 ),
    inference(avatar_split_clause,[],[f228,f672,f520,f560,f250]) ).

fof(f228,plain,
    ! [X22,X23] :
      ( hskp15
      | c2_1(X22)
      | ~ c1_1(X23)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | c0_1(X22)
      | ~ c0_1(X23) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X22,X23] :
      ( ~ ndr1_0
      | c0_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | hskp15
      | ~ c0_1(X23)
      | c2_1(X22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f784,plain,
    ( spl0_111
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f107,f365,f781]) ).

fof(f107,plain,
    ( ~ hskp23
    | c3_1(a2455) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f779,plain,
    ( ~ spl0_81
    | spl0_110 ),
    inference(avatar_split_clause,[],[f119,f776,f609]) ).

fof(f119,plain,
    ( c0_1(a2498)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f774,plain,
    ( ~ spl0_81
    | spl0_109 ),
    inference(avatar_split_clause,[],[f121,f771,f609]) ).

fof(f121,plain,
    ( c2_1(a2498)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f769,plain,
    ( ~ spl0_2
    | spl0_21
    | spl0_55
    | spl0_62 ),
    inference(avatar_split_clause,[],[f229,f520,f483,f334,f250]) ).

fof(f229,plain,
    ! [X106,X107,X105] :
      ( c0_1(X105)
      | c1_1(X106)
      | ~ c0_1(X107)
      | ~ c0_1(X106)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | c2_1(X105)
      | c2_1(X107)
      | ~ c1_1(X105)
      | c2_1(X106) ),
    inference(duplicate_literal_removal,[],[f10]) ).

fof(f10,plain,
    ! [X106,X107,X105] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X105)
      | c2_1(X107)
      | ~ ndr1_0
      | ~ c1_1(X107)
      | c2_1(X105)
      | c2_1(X106)
      | ~ c1_1(X105)
      | c1_1(X106)
      | ~ c0_1(X107)
      | ~ c0_1(X106) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f766,plain,
    ( ~ spl0_108
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f204,f326,f763]) ).

fof(f204,plain,
    ( ~ hskp25
    | ~ c0_1(a2478) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f761,plain,
    ( ~ spl0_107
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f180,f316,f758]) ).

fof(f316,plain,
    ( spl0_17
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f180,plain,
    ( ~ hskp12
    | ~ c1_1(a2417) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f756,plain,
    ( spl0_77
    | ~ spl0_2
    | spl0_93
    | spl0_78 ),
    inference(avatar_split_clause,[],[f230,f595,f678,f250,f590]) ).

fof(f230,plain,
    ! [X18,X19,X17] :
      ( c2_1(X18)
      | ~ c1_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | c2_1(X17)
      | c0_1(X19)
      | c3_1(X18)
      | c0_1(X18)
      | ~ c3_1(X17) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X18,X19,X17] :
      ( ~ c1_1(X17)
      | c0_1(X19)
      | c2_1(X18)
      | ~ c1_1(X19)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X17)
      | ~ c2_1(X19)
      | ~ c3_1(X17)
      | c3_1(X18)
      | c0_1(X18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f755,plain,
    ( ~ spl0_38
    | spl0_106 ),
    inference(avatar_split_clause,[],[f51,f752,f407]) ).

fof(f51,plain,
    ( c2_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f748,plain,
    ( ~ spl0_10
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f192,f745,f287]) ).

fof(f287,plain,
    ( spl0_10
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f192,plain,
    ( ~ c0_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f743,plain,
    ( ~ spl0_10
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f195,f740,f287]) ).

fof(f195,plain,
    ( ~ c2_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f737,plain,
    ( spl0_103
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f157,f438,f734]) ).

fof(f438,plain,
    ( spl0_45
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f157,plain,
    ( ~ hskp21
    | c0_1(a2437) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f731,plain,
    ( ~ spl0_2
    | spl0_46
    | spl0_58
    | spl0_33 ),
    inference(avatar_split_clause,[],[f232,f383,f498,f443,f250]) ).

fof(f232,plain,
    ! [X104,X103] :
      ( ~ c2_1(X103)
      | hskp2
      | c1_1(X103)
      | c0_1(X104)
      | ~ ndr1_0
      | ~ c3_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X103) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ! [X104,X103] :
      ( c0_1(X104)
      | ~ c2_1(X103)
      | hskp2
      | ~ c3_1(X103)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X104)
      | ~ c2_1(X104)
      | c1_1(X103) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f730,plain,
    ( spl0_102
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f81,f470,f727]) ).

fof(f81,plain,
    ( ~ hskp17
    | c3_1(a2427) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f725,plain,
    ( ~ spl0_20
    | spl0_101 ),
    inference(avatar_split_clause,[],[f61,f722,f330]) ).

fof(f61,plain,
    ( c3_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f718,plain,
    ( ~ spl0_92
    | spl0_100 ),
    inference(avatar_split_clause,[],[f57,f715,f672]) ).

fof(f57,plain,
    ( c1_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f713,plain,
    ( ~ spl0_99
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f112,f565,f710]) ).

fof(f112,plain,
    ( ~ hskp18
    | ~ c0_1(a2428) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f707,plain,
    ( ~ spl0_63
    | spl0_98 ),
    inference(avatar_split_clause,[],[f89,f704,f523]) ).

fof(f89,plain,
    ( c1_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f701,plain,
    ( spl0_11
    | ~ spl0_2
    | spl0_36
    | spl0_46 ),
    inference(avatar_split_clause,[],[f233,f443,f396,f250,f291]) ).

fof(f233,plain,
    ! [X108,X109] :
      ( ~ c2_1(X108)
      | hskp5
      | ~ c3_1(X108)
      | c0_1(X108)
      | ~ ndr1_0
      | ~ c2_1(X109)
      | c1_1(X109)
      | c0_1(X109) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,plain,
    ! [X108,X109] :
      ( ~ c2_1(X109)
      | ~ ndr1_0
      | c1_1(X109)
      | hskp5
      | ~ c2_1(X108)
      | c0_1(X109)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | c0_1(X108) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f700,plain,
    ( ~ spl0_26
    | spl0_97 ),
    inference(avatar_split_clause,[],[f26,f697,f356]) ).

fof(f26,plain,
    ( c2_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f695,plain,
    ( ~ spl0_96
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f38,f273,f692]) ).

fof(f38,plain,
    ( ~ hskp11
    | ~ c2_1(a2416) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f689,plain,
    ( spl0_5
    | spl0_29
    | spl0_95
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f234,f250,f687,f369,f264]) ).

fof(f234,plain,
    ! [X26,X25] :
      ( ~ ndr1_0
      | c0_1(X26)
      | c3_1(X26)
      | c1_1(X25)
      | ~ c1_1(X26)
      | hskp4
      | ~ c3_1(X25)
      | c2_1(X25) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X26,X25] :
      ( ~ c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | c0_1(X26)
      | ~ ndr1_0
      | ~ c1_1(X26)
      | hskp4
      | c3_1(X26)
      | c2_1(X25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f680,plain,
    ( ~ spl0_2
    | spl0_51
    | spl0_93
    | spl0_30 ),
    inference(avatar_split_clause,[],[f235,f372,f678,f466,f250]) ).

fof(f235,plain,
    ! [X56,X57,X55] :
      ( c3_1(X57)
      | c2_1(X55)
      | c1_1(X56)
      | c0_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X55)
      | c2_1(X57)
      | ~ c1_1(X57)
      | ~ c1_1(X55) ),
    inference(duplicate_literal_removal,[],[f110]) ).

fof(f110,plain,
    ! [X56,X57,X55] :
      ( ~ ndr1_0
      | c1_1(X56)
      | c3_1(X57)
      | ~ c1_1(X57)
      | c2_1(X55)
      | c2_1(X56)
      | c0_1(X56)
      | c2_1(X57)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c3_1(X55) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f676,plain,
    ( spl0_58
    | ~ spl0_2
    | spl0_54
    | spl0_30 ),
    inference(avatar_split_clause,[],[f169,f372,f479,f250,f498]) ).

fof(f169,plain,
    ! [X32] :
      ( ~ c1_1(X32)
      | hskp30
      | c3_1(X32)
      | ~ ndr1_0
      | c2_1(X32)
      | hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f675,plain,
    ( ~ spl0_2
    | spl0_92
    | spl0_46 ),
    inference(avatar_split_clause,[],[f88,f443,f672,f250]) ).

fof(f88,plain,
    ! [X73] :
      ( ~ c2_1(X73)
      | hskp15
      | ~ ndr1_0
      | c0_1(X73)
      | ~ c3_1(X73) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f670,plain,
    ( ~ spl0_2
    | spl0_14
    | spl0_33
    | spl0_51 ),
    inference(avatar_split_clause,[],[f236,f466,f383,f304,f250]) ).

fof(f236,plain,
    ! [X62,X63] :
      ( c1_1(X63)
      | c1_1(X62)
      | hskp1
      | ~ c2_1(X62)
      | c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c3_1(X62) ),
    inference(duplicate_literal_removal,[],[f102]) ).

fof(f102,plain,
    ! [X62,X63] :
      ( c1_1(X63)
      | ~ c3_1(X62)
      | c2_1(X63)
      | c0_1(X63)
      | hskp1
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c1_1(X62) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f669,plain,
    ( ~ spl0_58
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f159,f666,f498]) ).

fof(f159,plain,
    ( ~ c2_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f664,plain,
    ( spl0_26
    | spl0_10
    | spl0_1 ),
    inference(avatar_split_clause,[],[f198,f246,f287,f356]) ).

fof(f198,plain,
    ( hskp9
    | hskp8
    | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f663,plain,
    ( spl0_90
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f84,f479,f660]) ).

fof(f84,plain,
    ( ~ hskp30
    | c0_1(a2450) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f657,plain,
    ( ~ spl0_2
    | spl0_58
    | spl0_39
    | spl0_71 ),
    inference(avatar_split_clause,[],[f237,f560,f411,f498,f250]) ).

fof(f237,plain,
    ! [X36,X37] :
      ( ~ c2_1(X37)
      | c1_1(X36)
      | hskp2
      | ~ c1_1(X37)
      | c3_1(X36)
      | c0_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X36,X37] :
      ( c1_1(X36)
      | ~ ndr1_0
      | c0_1(X36)
      | ~ c0_1(X37)
      | hskp2
      | ~ c1_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X37)
      | c3_1(X36) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f656,plain,
    ( ~ spl0_45
    | spl0_89 ),
    inference(avatar_split_clause,[],[f156,f653,f438]) ).

fof(f156,plain,
    ( c2_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f651,plain,
    ( spl0_9
    | spl0_14
    | ~ spl0_2
    | spl0_78 ),
    inference(avatar_split_clause,[],[f64,f595,f250,f304,f282]) ).

fof(f64,plain,
    ! [X86] :
      ( c3_1(X86)
      | ~ ndr1_0
      | hskp1
      | c2_1(X86)
      | c0_1(X86)
      | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f650,plain,
    ( ~ spl0_54
    | spl0_88 ),
    inference(avatar_split_clause,[],[f87,f647,f479]) ).

fof(f87,plain,
    ( c3_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f645,plain,
    ( ~ spl0_87
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f21,f446,f642]) ).

fof(f21,plain,
    ( ~ hskp6
    | ~ c2_1(a2410) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f640,plain,
    ( spl0_86
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f193,f287,f637]) ).

fof(f193,plain,
    ( ~ hskp8
    | c1_1(a2412) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f634,plain,
    ( ~ spl0_28
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f108,f631,f365]) ).

fof(f108,plain,
    ( ~ c0_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f629,plain,
    ( ~ spl0_12
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f206,f626,f295]) ).

fof(f206,plain,
    ( ~ c2_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f623,plain,
    ( ~ spl0_83
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f155,f438,f620]) ).

fof(f155,plain,
    ( ~ hskp21
    | ~ c1_1(a2437) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f618,plain,
    ( ~ spl0_66
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f76,f615,f537]) ).

fof(f76,plain,
    ( ~ c0_1(a2500)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f612,plain,
    ( spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f118,f609,f605]) ).

fof(f118,plain,
    ( ~ hskp31
    | c1_1(a2498) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f602,plain,
    ( spl0_79
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f177,f321,f599]) ).

fof(f177,plain,
    ( ~ hskp26
    | c0_1(a2484) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f597,plain,
    ( spl0_78
    | spl0_32
    | ~ spl0_2
    | spl0_44 ),
    inference(avatar_split_clause,[],[f238,f435,f250,f380,f595]) ).

fof(f238,plain,
    ! [X48,X49,X47] :
      ( ~ c2_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | c2_1(X47)
      | c0_1(X49)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | c3_1(X47)
      | c0_1(X47)
      | c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f122]) ).

fof(f122,plain,
    ! [X48,X49,X47] :
      ( c2_1(X47)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | c0_1(X47)
      | ~ ndr1_0
      | c3_1(X47)
      | ~ c1_1(X48)
      | c1_1(X49)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c0_1(X49)
      | ~ c2_1(X48) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f593,plain,
    ( spl0_19
    | spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f30,f396,f330,f326]) ).

fof(f30,plain,
    ( hskp5
    | hskp19
    | hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f592,plain,
    ( spl0_7
    | ~ spl0_2
    | spl0_17
    | spl0_77 ),
    inference(avatar_split_clause,[],[f93,f590,f316,f250,f273]) ).

fof(f93,plain,
    ! [X72] :
      ( c0_1(X72)
      | hskp12
      | ~ ndr1_0
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f583,plain,
    ( ~ spl0_58
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f161,f580,f498]) ).

fof(f161,plain,
    ( ~ c1_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f578,plain,
    ( spl0_74
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f141,f347,f575]) ).

fof(f141,plain,
    ( ~ hskp24
    | c1_1(a2468) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f572,plain,
    ( spl0_17
    | spl0_64
    | ~ spl0_2
    | spl0_73 ),
    inference(avatar_split_clause,[],[f239,f570,f250,f528,f316]) ).

fof(f239,plain,
    ! [X54,X53] :
      ( ~ c3_1(X54)
      | ~ ndr1_0
      | c0_1(X54)
      | ~ c0_1(X53)
      | ~ c1_1(X53)
      | ~ c3_1(X53)
      | c2_1(X54)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f115]) ).

fof(f115,plain,
    ! [X54,X53] :
      ( ~ c3_1(X54)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | hskp12
      | ~ c0_1(X53)
      | c0_1(X54)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | c2_1(X54) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f562,plain,
    ( spl0_4
    | ~ spl0_2
    | spl0_70
    | spl0_71 ),
    inference(avatar_split_clause,[],[f240,f560,f557,f250,f259]) ).

fof(f240,plain,
    ! [X88,X87] :
      ( ~ c0_1(X88)
      | ~ c2_1(X87)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c3_1(X87)
      | hskp20
      | ~ c0_1(X87)
      | ~ c1_1(X88) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f59,plain,
    ! [X88,X87] :
      ( c3_1(X87)
      | ~ c2_1(X88)
      | ~ c1_1(X88)
      | ~ c0_1(X88)
      | ~ c2_1(X87)
      | ~ ndr1_0
      | hskp20
      | ~ c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f555,plain,
    ( spl0_69
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f15,f259,f552]) ).

fof(f15,plain,
    ( ~ hskp20
    | c3_1(a2435) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f549,plain,
    ( spl0_17
    | spl0_68
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_split_clause,[],[f96,f295,f250,f547,f316]) ).

fof(f96,plain,
    ! [X68] :
      ( hskp16
      | ~ ndr1_0
      | c3_1(X68)
      | ~ c2_1(X68)
      | hskp12
      | c1_1(X68) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f545,plain,
    ( ~ spl0_67
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f39,f273,f542]) ).

fof(f39,plain,
    ( ~ hskp11
    | ~ c1_1(a2416) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f540,plain,
    ( spl0_2
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f75,f537,f250]) ).

fof(f75,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f535,plain,
    ( ~ spl0_65
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f146,f282,f532]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f530,plain,
    ( spl0_28
    | spl0_9
    | spl0_64
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f151,f250,f528,f282,f365]) ).

fof(f151,plain,
    ! [X41] :
      ( ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | hskp14
      | hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f518,plain,
    ( ~ spl0_61
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f32,f376,f515]) ).

fof(f32,plain,
    ( ~ hskp10
    | ~ c3_1(a2414) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f512,plain,
    ( spl0_60
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f182,f316,f509]) ).

fof(f182,plain,
    ( ~ hskp12
    | c3_1(a2417) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f507,plain,
    ( ~ spl0_59
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f53,f407,f504]) ).

fof(f53,plain,
    ( ~ hskp3
    | ~ c3_1(a2405) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f502,plain,
    ( spl0_32
    | spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f72,f250,f316,f380]) ).

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

fof(f496,plain,
    ( ~ spl0_57
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f207,f295,f493]) ).

fof(f207,plain,
    ( ~ hskp16
    | ~ c3_1(a2425) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f490,plain,
    ( ~ spl0_56
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f17,f304,f487]) ).

fof(f17,plain,
    ( ~ hskp1
    | ~ c2_1(a2403) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f485,plain,
    ( spl0_54
    | spl0_55
    | spl0_45
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f172,f250,f438,f483,f479]) ).

fof(f172,plain,
    ! [X30] :
      ( ~ ndr1_0
      | hskp21
      | c1_1(X30)
      | ~ c0_1(X30)
      | hskp30
      | c2_1(X30) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f477,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f80,f474,f470]) ).

fof(f80,plain,
    ( ~ c1_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f468,plain,
    ( spl0_40
    | spl0_32
    | ~ spl0_2
    | spl0_51 ),
    inference(avatar_split_clause,[],[f241,f466,f250,f380,f415]) ).

fof(f241,plain,
    ! [X74,X75] :
      ( c1_1(X75)
      | ~ ndr1_0
      | c1_1(X74)
      | c0_1(X74)
      | c0_1(X75)
      | ~ c3_1(X74)
      | hskp0
      | c2_1(X75) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f79,plain,
    ! [X74,X75] :
      ( c2_1(X75)
      | ~ ndr1_0
      | c1_1(X75)
      | c0_1(X75)
      | c1_1(X74)
      | ~ c3_1(X74)
      | c0_1(X74)
      | hskp0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f464,plain,
    ( spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f128,f461,f457]) ).

fof(f128,plain,
    ( ~ hskp29
    | c3_1(a2409) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f454,plain,
    ( spl0_48
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f18,f304,f451]) ).

fof(f18,plain,
    ( ~ hskp1
    | c1_1(a2403) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f433,plain,
    ( ~ spl0_4
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f13,f430,f259]) ).

fof(f13,plain,
    ( ~ c2_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f428,plain,
    ( spl0_14
    | ~ spl0_2
    | spl0_33
    | spl0_29 ),
    inference(avatar_split_clause,[],[f242,f369,f383,f250,f304]) ).

fof(f242,plain,
    ! [X2,X3] :
      ( c1_1(X3)
      | ~ c3_1(X2)
      | c2_1(X3)
      | c1_1(X2)
      | ~ ndr1_0
      | hskp1
      | ~ c3_1(X3)
      | ~ c2_1(X2) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ! [X2,X3] :
      ( ~ c3_1(X2)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X2)
      | c2_1(X3)
      | ~ c3_1(X3)
      | ~ c2_1(X2)
      | c1_1(X3)
      | hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f427,plain,
    ( ~ spl0_42
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f34,f376,f424]) ).

fof(f34,plain,
    ( ~ hskp10
    | ~ c1_1(a2414) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f422,plain,
    ( ~ spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f43,f419,f415]) ).

fof(f43,plain,
    ( c0_1(a2402)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f404,plain,
    ( ~ spl0_26
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f27,f401,f356]) ).

fof(f27,plain,
    ( ~ c3_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f399,plain,
    ( spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f150,f396,f392]) ).

fof(f150,plain,
    ( ~ hskp5
    | c0_1(a2408) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f390,plain,
    ( ~ spl0_19
    | spl0_34 ),
    inference(avatar_split_clause,[],[f202,f387,f326]) ).

fof(f202,plain,
    ( c2_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f374,plain,
    ( spl0_28
    | ~ spl0_2
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f244,f372,f369,f250,f365]) ).

fof(f244,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | ~ c3_1(X111)
      | c2_1(X111)
      | ~ ndr1_0
      | c1_1(X111)
      | hskp23
      | ~ c1_1(X110) ),
    inference(duplicate_literal_removal,[],[f8]) ).

fof(f8,plain,
    ! [X111,X110] :
      ( c3_1(X110)
      | c1_1(X111)
      | hskp23
      | ~ ndr1_0
      | c2_1(X111)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | ~ c3_1(X111)
      | c2_1(X110) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f363,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f29,f360,f356]) ).

fof(f29,plain,
    ( ~ c1_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f354,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f142,f351,f347]) ).

fof(f142,plain,
    ( ~ c0_1(a2468)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f336,plain,
    ( spl0_19
    | spl0_20
    | spl0_21
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f99,f250,f334,f330,f326]) ).

fof(f99,plain,
    ! [X65] :
      ( ~ ndr1_0
      | ~ c0_1(X65)
      | ~ c1_1(X65)
      | hskp19
      | hskp25
      | c2_1(X65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f319,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f183,f316,f312]) ).

fof(f183,plain,
    ( ~ hskp12
    | ~ c0_1(a2417) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f310,plain,
    ( ~ spl0_2
    | spl0_1
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f36,f308,f304,f246,f250]) ).

fof(f36,plain,
    ! [X96] :
      ( ~ c1_1(X96)
      | ~ c3_1(X96)
      | hskp1
      | hskp9
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f302,plain,
    ( ~ spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f208,f299,f295]) ).

fof(f208,plain,
    ( c0_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f293,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_11
    | spl0_1 ),
    inference(avatar_split_clause,[],[f154,f246,f291,f287,f250]) ).

fof(f154,plain,
    ! [X35] :
      ( hskp9
      | c1_1(X35)
      | hskp8
      | c0_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f285,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f145,f282,f278]) ).

fof(f145,plain,
    ( ~ hskp14
    | c1_1(a2420) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f271,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f165,f268,f264]) ).

fof(f165,plain,
    ( c0_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f262,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f14,f259,f255]) ).

fof(f14,plain,
    ( ~ hskp20
    | ~ c0_1(a2435) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN488+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:15:46 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (28513)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (28505)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (28502)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.56  % (28513)Instruction limit reached!
% 0.20/0.56  % (28513)------------------------------
% 0.20/0.56  % (28513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (28513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (28513)Termination reason: Unknown
% 0.20/0.57  % (28513)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (28513)Memory used [KB]: 6524
% 0.20/0.57  % (28513)Time elapsed: 0.008 s
% 0.20/0.57  % (28513)Instructions burned: 7 (million)
% 0.20/0.57  % (28513)------------------------------
% 0.20/0.57  % (28513)------------------------------
% 0.20/0.57  % (28531)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.57  % (28523)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (28524)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.58  % (28506)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.59  % (28511)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.59  % (28504)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.59  % (28508)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.59  % (28504)Instruction limit reached!
% 0.20/0.59  % (28504)------------------------------
% 0.20/0.59  % (28504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (28504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (28504)Termination reason: Unknown
% 0.20/0.59  % (28504)Termination phase: Unused predicate definition removal
% 0.20/0.59  
% 0.20/0.59  % (28504)Memory used [KB]: 1663
% 0.20/0.59  % (28504)Time elapsed: 0.003 s
% 0.20/0.59  % (28504)Instructions burned: 3 (million)
% 0.20/0.59  % (28504)------------------------------
% 0.20/0.59  % (28504)------------------------------
% 0.20/0.59  % (28507)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.59  % (28510)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.59  % (28512)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.60  % (28503)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.60  % (28528)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.60  % (28525)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.88/0.61  % (28530)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.88/0.61  % (28514)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.88/0.61  % (28517)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.88/0.61  % (28515)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.88/0.61  % (28529)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.88/0.61  % (28506)Instruction limit reached!
% 1.88/0.61  % (28506)------------------------------
% 1.88/0.61  % (28506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61  % (28506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61  % (28506)Termination reason: Unknown
% 1.88/0.61  % (28506)Termination phase: Saturation
% 1.88/0.61  
% 1.88/0.61  % (28506)Memory used [KB]: 6908
% 1.88/0.61  % (28506)Time elapsed: 0.189 s
% 1.88/0.61  % (28506)Instructions burned: 14 (million)
% 1.88/0.61  % (28506)------------------------------
% 1.88/0.61  % (28506)------------------------------
% 1.88/0.61  % (28517)Instruction limit reached!
% 1.88/0.61  % (28517)------------------------------
% 1.88/0.61  % (28517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61  % (28517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61  % (28517)Termination reason: Unknown
% 1.88/0.61  % (28517)Termination phase: Saturation
% 1.88/0.61  
% 1.88/0.61  % (28517)Memory used [KB]: 6524
% 1.88/0.61  % (28517)Time elapsed: 0.006 s
% 1.88/0.61  % (28517)Instructions burned: 7 (million)
% 1.88/0.61  % (28517)------------------------------
% 1.88/0.61  % (28517)------------------------------
% 1.88/0.61  % (28516)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.88/0.61  % (28516)Instruction limit reached!
% 1.88/0.61  % (28516)------------------------------
% 1.88/0.61  % (28516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61  % (28516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61  % (28516)Termination reason: Unknown
% 1.88/0.61  % (28516)Termination phase: Unused predicate definition removal
% 1.88/0.61  
% 1.88/0.61  % (28516)Memory used [KB]: 1663
% 1.88/0.61  % (28516)Time elapsed: 0.003 s
% 1.88/0.61  % (28516)Instructions burned: 3 (million)
% 1.88/0.61  % (28516)------------------------------
% 1.88/0.61  % (28516)------------------------------
% 1.88/0.61  % (28518)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.88/0.61  % (28520)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.88/0.62  % (28509)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.88/0.62  % (28512)Instruction limit reached!
% 1.88/0.62  % (28512)------------------------------
% 1.88/0.62  % (28512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62  % (28520)Instruction limit reached!
% 1.88/0.62  % (28520)------------------------------
% 1.88/0.62  % (28520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62  % (28522)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.88/0.62  % (28507)Instruction limit reached!
% 1.88/0.62  % (28507)------------------------------
% 1.88/0.62  % (28507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.62  % (28519)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.88/0.62  % (28512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.62  % (28512)Termination reason: Unknown
% 1.88/0.62  % (28512)Termination phase: Saturation
% 1.88/0.62  
% 1.88/0.62  % (28512)Memory used [KB]: 6908
% 1.88/0.62  % (28512)Time elapsed: 0.194 s
% 1.88/0.62  % (28512)Instructions burned: 13 (million)
% 1.88/0.62  % (28512)------------------------------
% 1.88/0.62  % (28512)------------------------------
% 1.88/0.63  % (28521)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.88/0.63  % (28527)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.11/0.63  % (28520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (28520)Termination reason: Unknown
% 2.11/0.63  % (28520)Termination phase: Preprocessing 1
% 2.11/0.63  
% 2.11/0.63  % (28520)Memory used [KB]: 1663
% 2.11/0.63  % (28520)Time elapsed: 0.005 s
% 2.11/0.63  % (28520)Instructions burned: 3 (million)
% 2.11/0.63  % (28520)------------------------------
% 2.11/0.63  % (28520)------------------------------
% 2.11/0.63  % (28526)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.11/0.63  % (28519)Instruction limit reached!
% 2.11/0.63  % (28519)------------------------------
% 2.11/0.63  % (28519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (28531)Instruction limit reached!
% 2.11/0.64  % (28531)------------------------------
% 2.11/0.64  % (28531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (28530)Instruction limit reached!
% 2.11/0.64  % (28530)------------------------------
% 2.11/0.64  % (28530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (28530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (28530)Termination reason: Unknown
% 2.11/0.64  % (28530)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (28530)Memory used [KB]: 6652
% 2.11/0.64  % (28530)Time elapsed: 0.008 s
% 2.11/0.64  % (28530)Instructions burned: 9 (million)
% 2.11/0.64  % (28530)------------------------------
% 2.11/0.64  % (28530)------------------------------
% 2.11/0.64  % (28519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (28519)Termination reason: Unknown
% 2.11/0.64  % (28519)Termination phase: Unused predicate definition removal
% 2.11/0.64  
% 2.11/0.64  % (28519)Memory used [KB]: 1663
% 2.11/0.64  % (28519)Time elapsed: 0.004 s
% 2.11/0.64  % (28519)Instructions burned: 3 (million)
% 2.11/0.64  % (28519)------------------------------
% 2.11/0.64  % (28519)------------------------------
% 2.11/0.64  % (28531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (28531)Termination reason: Unknown
% 2.11/0.64  % (28531)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (28531)Memory used [KB]: 6780
% 2.11/0.64  % (28531)Time elapsed: 0.204 s
% 2.11/0.64  % (28531)Instructions burned: 25 (million)
% 2.11/0.64  % (28531)------------------------------
% 2.11/0.64  % (28531)------------------------------
% 2.11/0.65  % (28505)Instruction limit reached!
% 2.11/0.65  % (28505)------------------------------
% 2.11/0.65  % (28505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.65  % (28507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65  % (28507)Termination reason: Unknown
% 2.11/0.65  % (28507)Termination phase: Saturation
% 2.11/0.65  
% 2.11/0.65  % (28507)Memory used [KB]: 1918
% 2.11/0.65  % (28507)Time elapsed: 0.200 s
% 2.11/0.65  % (28507)Instructions burned: 16 (million)
% 2.11/0.65  % (28507)------------------------------
% 2.11/0.65  % (28507)------------------------------
% 2.11/0.65  % (28521)Instruction limit reached!
% 2.11/0.65  % (28521)------------------------------
% 2.11/0.65  % (28521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.65  % (28521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65  % (28521)Termination reason: Unknown
% 2.11/0.65  % (28521)Termination phase: Saturation
% 2.11/0.65  
% 2.11/0.65  % (28521)Memory used [KB]: 6780
% 2.11/0.65  % (28521)Time elapsed: 0.206 s
% 2.11/0.65  % (28521)Instructions burned: 11 (million)
% 2.11/0.65  % (28521)------------------------------
% 2.11/0.65  % (28521)------------------------------
% 2.11/0.65  % (28503)Instruction limit reached!
% 2.11/0.65  % (28503)------------------------------
% 2.11/0.65  % (28503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.65  % (28503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65  % (28503)Termination reason: Unknown
% 2.11/0.65  % (28503)Termination phase: Saturation
% 2.11/0.65  
% 2.11/0.65  % (28503)Memory used [KB]: 6908
% 2.11/0.65  % (28503)Time elapsed: 0.012 s
% 2.11/0.65  % (28503)Instructions burned: 14 (million)
% 2.11/0.65  % (28503)------------------------------
% 2.11/0.65  % (28503)------------------------------
% 2.30/0.65  % (28514)Instruction limit reached!
% 2.30/0.65  % (28514)------------------------------
% 2.30/0.65  % (28514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.65  % (28514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65  % (28514)Termination reason: Unknown
% 2.30/0.65  % (28514)Termination phase: Saturation
% 2.30/0.65  
% 2.30/0.65  % (28514)Memory used [KB]: 2046
% 2.30/0.65  % (28514)Time elapsed: 0.229 s
% 2.30/0.65  % (28514)Instructions burned: 16 (million)
% 2.30/0.65  % (28514)------------------------------
% 2.30/0.65  % (28514)------------------------------
% 2.30/0.66  % (28524)First to succeed.
% 2.30/0.66  % (28529)Instruction limit reached!
% 2.30/0.66  % (28529)------------------------------
% 2.30/0.66  % (28529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.66  % (28529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.66  % (28529)Termination reason: Unknown
% 2.30/0.66  % (28529)Termination phase: Saturation
% 2.30/0.66  
% 2.30/0.66  % (28529)Memory used [KB]: 7036
% 2.30/0.66  % (28529)Time elapsed: 0.233 s
% 2.30/0.66  % (28529)Instructions burned: 26 (million)
% 2.30/0.66  % (28529)------------------------------
% 2.30/0.66  % (28529)------------------------------
% 2.30/0.67  % (28505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.67  % (28505)Termination reason: Unknown
% 2.30/0.67  % (28505)Termination phase: Saturation
% 2.30/0.67  
% 2.30/0.67  % (28505)Memory used [KB]: 7675
% 2.30/0.67  % (28505)Time elapsed: 0.212 s
% 2.30/0.67  % (28505)Instructions burned: 51 (million)
% 2.30/0.67  % (28505)------------------------------
% 2.30/0.67  % (28505)------------------------------
% 2.30/0.67  % (28511)Instruction limit reached!
% 2.30/0.67  % (28511)------------------------------
% 2.30/0.67  % (28511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.67  % (28511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.67  % (28511)Termination reason: Unknown
% 2.30/0.67  % (28511)Termination phase: Saturation
% 2.30/0.67  
% 2.30/0.67  % (28511)Memory used [KB]: 7419
% 2.30/0.67  % (28511)Time elapsed: 0.236 s
% 2.30/0.67  % (28511)Instructions burned: 33 (million)
% 2.30/0.67  % (28511)------------------------------
% 2.30/0.67  % (28511)------------------------------
% 2.30/0.69  % (28522)Instruction limit reached!
% 2.30/0.69  % (28522)------------------------------
% 2.30/0.69  % (28522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.69  % (28522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.69  % (28522)Termination reason: Unknown
% 2.30/0.69  % (28522)Termination phase: Saturation
% 2.30/0.69  
% 2.30/0.69  % (28522)Memory used [KB]: 7164
% 2.30/0.69  % (28522)Time elapsed: 0.254 s
% 2.30/0.69  % (28522)Instructions burned: 30 (million)
% 2.30/0.69  % (28522)------------------------------
% 2.30/0.69  % (28522)------------------------------
% 2.30/0.70  % (28508)Instruction limit reached!
% 2.30/0.70  % (28508)------------------------------
% 2.30/0.70  % (28508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.70  % (28508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.70  % (28508)Termination reason: Unknown
% 2.30/0.70  % (28508)Termination phase: Saturation
% 2.30/0.70  
% 2.30/0.70  % (28508)Memory used [KB]: 7291
% 2.30/0.70  % (28508)Time elapsed: 0.277 s
% 2.30/0.70  % (28508)Instructions burned: 39 (million)
% 2.30/0.70  % (28508)------------------------------
% 2.30/0.70  % (28508)------------------------------
% 2.30/0.70  % (28524)Refutation found. Thanks to Tanya!
% 2.30/0.70  % SZS status Theorem for theBenchmark
% 2.30/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.71  % (28524)------------------------------
% 2.30/0.71  % (28524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.71  % (28524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.71  % (28524)Termination reason: Refutation
% 2.30/0.71  
% 2.30/0.71  % (28524)Memory used [KB]: 8443
% 2.30/0.71  % (28524)Time elapsed: 0.246 s
% 2.30/0.71  % (28524)Instructions burned: 41 (million)
% 2.30/0.71  % (28524)------------------------------
% 2.30/0.71  % (28524)------------------------------
% 2.30/0.71  % (28501)Success in time 0.337 s
%------------------------------------------------------------------------------