TSTP Solution File: SYN483+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN483+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Sun May  5 12:10:52 EDT 2024

% Result   : Theorem 0.15s 0.36s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  125
% Syntax   : Number of formulae    :  664 (   1 unt;   0 def)
%            Number of atoms       : 6577 (   0 equ)
%            Maximal formula atoms :  711 (   9 avg)
%            Number of connectives : 8872 (2959   ~;4175   |;1170   &)
%                                         ( 124 <=>; 444  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  112 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  160 ( 159 usr; 156 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  845 ( 845   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2707,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f273,f304,f305,f310,f319,f328,f336,f340,f358,f362,f366,f370,f383,f387,f391,f392,f413,f417,f418,f426,f427,f435,f437,f441,f445,f447,f452,f453,f454,f455,f464,f470,f474,f492,f503,f511,f516,f536,f541,f546,f547,f552,f562,f568,f573,f578,f579,f584,f589,f594,f600,f605,f610,f616,f621,f626,f632,f637,f642,f648,f653,f658,f669,f674,f685,f690,f712,f717,f722,f728,f733,f738,f744,f749,f754,f760,f765,f770,f792,f797,f802,f808,f818,f840,f845,f850,f856,f861,f866,f872,f877,f882,f904,f909,f914,f920,f925,f930,f984,f989,f994,f995,f1000,f1005,f1010,f1017,f1042,f1069,f1077,f1086,f1092,f1111,f1163,f1181,f1201,f1215,f1239,f1266,f1277,f1439,f1451,f1456,f1496,f1503,f1529,f1568,f1586,f1612,f1627,f1642,f1686,f1701,f1703,f1750,f1803,f1829,f1831,f1842,f1876,f1879,f1899,f1966,f2142,f2175,f2260,f2262,f2339,f2341,f2348,f2357,f2420,f2435,f2440,f2442,f2451,f2468,f2475,f2483,f2504,f2507,f2609,f2676,f2702,f2705]) ).

fof(f2705,plain,
    ( ~ spl0_30
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2704]) ).

fof(f2704,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2703,f567]) ).

fof(f567,plain,
    ( c3_1(a1877)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl0_69
  <=> c3_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2703,plain,
    ( ~ c3_1(a1877)
    | ~ spl0_30
    | ~ spl0_70
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2690,f1076]) ).

fof(f1076,plain,
    ( c1_1(a1877)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1074,plain,
    ( spl0_153
  <=> c1_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2690,plain,
    ( ~ c1_1(a1877)
    | ~ c3_1(a1877)
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(resolution,[],[f369,f572]) ).

fof(f572,plain,
    ( c2_1(a1877)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_70
  <=> c2_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f369,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | ~ c1_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f368,plain,
    ( spl0_30
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | ~ c1_1(X8)
        | ~ c2_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2702,plain,
    ( ~ spl0_30
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2701]) ).

fof(f2701,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2700,f583]) ).

fof(f583,plain,
    ( c3_1(a1858)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f581,plain,
    ( spl0_72
  <=> c3_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2700,plain,
    ( ~ c3_1(a1858)
    | ~ spl0_30
    | ~ spl0_73
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2689,f588]) ).

fof(f588,plain,
    ( c1_1(a1858)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl0_73
  <=> c1_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2689,plain,
    ( ~ c1_1(a1858)
    | ~ c3_1(a1858)
    | ~ spl0_30
    | ~ spl0_161 ),
    inference(resolution,[],[f369,f1271]) ).

fof(f1271,plain,
    ( c2_1(a1858)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f1270,plain,
    ( spl0_161
  <=> c2_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2676,plain,
    ( ~ spl0_28
    | spl0_126
    | ~ spl0_128
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2675]) ).

fof(f2675,plain,
    ( $false
    | ~ spl0_28
    | spl0_126
    | ~ spl0_128
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2674,f881]) ).

fof(f881,plain,
    ( c0_1(a1862)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl0_128
  <=> c0_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2674,plain,
    ( ~ c0_1(a1862)
    | ~ spl0_28
    | spl0_126
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2662,f871]) ).

fof(f871,plain,
    ( ~ c2_1(a1862)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl0_126
  <=> c2_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2662,plain,
    ( c2_1(a1862)
    | ~ c0_1(a1862)
    | ~ spl0_28
    | ~ spl0_160 ),
    inference(resolution,[],[f361,f1237]) ).

fof(f1237,plain,
    ( c3_1(a1862)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1236]) ).

fof(f1236,plain,
    ( spl0_160
  <=> c3_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f361,plain,
    ( ! [X6] :
        ( ~ c3_1(X6)
        | c2_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_28
  <=> ! [X6] :
        ( ~ c3_1(X6)
        | c2_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2609,plain,
    ( ~ spl0_22
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_50
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f2600]) ).

fof(f2600,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_50
    | ~ spl0_83 ),
    inference(resolution,[],[f2594,f641]) ).

fof(f641,plain,
    ( c0_1(a1911)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f639,plain,
    ( spl0_83
  <=> c0_1(a1911) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2594,plain,
    ( ! [X61] : ~ c0_1(X61)
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f2593,f2508]) ).

fof(f2508,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c2_1(X39) )
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f440,f365]) ).

fof(f365,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl0_29
  <=> ! [X7] :
        ( ~ c1_1(X7)
        | c2_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f440,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_46
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2593,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | ~ c0_1(X61) )
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f463,f2539]) ).

fof(f2539,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f335,f2508]) ).

fof(f335,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f463,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | c3_1(X61)
        | ~ c0_1(X61) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_50
  <=> ! [X61] :
        ( ~ c2_1(X61)
        | c3_1(X61)
        | ~ c0_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2507,plain,
    ( ~ spl0_164
    | spl0_85
    | ~ spl0_29
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2494,f655,f364,f650,f1873]) ).

fof(f1873,plain,
    ( spl0_164
  <=> c1_1(a1899) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f650,plain,
    ( spl0_85
  <=> c2_1(a1899) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f655,plain,
    ( spl0_86
  <=> c0_1(a1899) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2494,plain,
    ( c2_1(a1899)
    | ~ c1_1(a1899)
    | ~ spl0_29
    | ~ spl0_86 ),
    inference(resolution,[],[f365,f657]) ).

fof(f657,plain,
    ( c0_1(a1899)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f2504,plain,
    ( ~ spl0_29
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2503]) ).

fof(f2503,plain,
    ( $false
    | ~ spl0_29
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2502,f876]) ).

fof(f876,plain,
    ( c1_1(a1862)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f874,plain,
    ( spl0_127
  <=> c1_1(a1862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2502,plain,
    ( ~ c1_1(a1862)
    | ~ spl0_29
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2488,f871]) ).

fof(f2488,plain,
    ( c2_1(a1862)
    | ~ c1_1(a1862)
    | ~ spl0_29
    | ~ spl0_128 ),
    inference(resolution,[],[f365,f881]) ).

fof(f2483,plain,
    ( ~ spl0_49
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2482]) ).

fof(f2482,plain,
    ( $false
    | ~ spl0_49
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2481,f993]) ).

fof(f993,plain,
    ( c1_1(a1853)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f991,plain,
    ( spl0_149
  <=> c1_1(a1853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2481,plain,
    ( ~ c1_1(a1853)
    | ~ spl0_49
    | spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2477,f988]) ).

fof(f988,plain,
    ( c3_1(a1853)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f986,plain,
    ( spl0_148
  <=> c3_1(a1853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2477,plain,
    ( ~ c3_1(a1853)
    | ~ c1_1(a1853)
    | ~ spl0_49
    | spl0_147 ),
    inference(resolution,[],[f983,f459]) ).

fof(f459,plain,
    ( ! [X60] :
        ( c0_1(X60)
        | ~ c3_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_49
  <=> ! [X60] :
        ( ~ c3_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f983,plain,
    ( ~ c0_1(a1853)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f981,plain,
    ( spl0_147
  <=> c0_1(a1853) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2475,plain,
    ( ~ spl0_160
    | ~ spl0_26
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2474,f874,f869,f351,f1236]) ).

fof(f351,plain,
    ( spl0_26
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | c2_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2474,plain,
    ( ~ c3_1(a1862)
    | ~ spl0_26
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2473,f876]) ).

fof(f2473,plain,
    ( ~ c3_1(a1862)
    | ~ c1_1(a1862)
    | ~ spl0_26
    | spl0_126 ),
    inference(resolution,[],[f871,f352]) ).

fof(f352,plain,
    ( ! [X3] :
        ( c2_1(X3)
        | ~ c3_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f2468,plain,
    ( ~ spl0_162
    | ~ spl0_51
    | spl0_106
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2467,f767,f762,f466,f1416]) ).

fof(f1416,plain,
    ( spl0_162
  <=> c2_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f466,plain,
    ( spl0_51
  <=> ! [X64] :
        ( ~ c2_1(X64)
        | c0_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f762,plain,
    ( spl0_106
  <=> c0_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f767,plain,
    ( spl0_107
  <=> c1_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2467,plain,
    ( ~ c2_1(a1870)
    | ~ spl0_51
    | spl0_106
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f2465,f769]) ).

fof(f769,plain,
    ( c1_1(a1870)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f2465,plain,
    ( ~ c2_1(a1870)
    | ~ c1_1(a1870)
    | ~ spl0_51
    | spl0_106 ),
    inference(resolution,[],[f764,f467]) ).

fof(f467,plain,
    ( ! [X64] :
        ( c0_1(X64)
        | ~ c2_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f764,plain,
    ( ~ c0_1(a1870)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f2451,plain,
    ( ~ spl0_51
    | spl0_102
    | ~ spl0_104
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2450]) ).

fof(f2450,plain,
    ( $false
    | ~ spl0_51
    | spl0_102
    | ~ spl0_104
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2449,f1162]) ).

fof(f1162,plain,
    ( c1_1(a1872)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f1160,plain,
    ( spl0_157
  <=> c1_1(a1872) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2449,plain,
    ( ~ c1_1(a1872)
    | ~ spl0_51
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f2447,f753]) ).

fof(f753,plain,
    ( c2_1(a1872)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl0_104
  <=> c2_1(a1872) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2447,plain,
    ( ~ c2_1(a1872)
    | ~ c1_1(a1872)
    | ~ spl0_51
    | spl0_102 ),
    inference(resolution,[],[f743,f467]) ).

fof(f743,plain,
    ( ~ c0_1(a1872)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl0_102
  <=> c0_1(a1872) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2442,plain,
    ( ~ spl0_134
    | ~ spl0_156
    | ~ spl0_26
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2046,f901,f351,f1117,f911]) ).

fof(f911,plain,
    ( spl0_134
  <=> c1_1(a1860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1117,plain,
    ( spl0_156
  <=> c3_1(a1860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f901,plain,
    ( spl0_132
  <=> c2_1(a1860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2046,plain,
    ( ~ c3_1(a1860)
    | ~ c1_1(a1860)
    | ~ spl0_26
    | spl0_132 ),
    inference(resolution,[],[f352,f903]) ).

fof(f903,plain,
    ( ~ c2_1(a1860)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f2440,plain,
    ( ~ spl0_134
    | ~ spl0_51
    | ~ spl0_56
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2385,f906,f489,f466,f911]) ).

fof(f489,plain,
    ( spl0_56
  <=> ! [X76] :
        ( ~ c1_1(X76)
        | c0_1(X76)
        | c2_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f906,plain,
    ( spl0_133
  <=> c0_1(a1860) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2385,plain,
    ( ~ c1_1(a1860)
    | ~ spl0_51
    | ~ spl0_56
    | spl0_133 ),
    inference(resolution,[],[f2344,f908]) ).

fof(f908,plain,
    ( ~ c0_1(a1860)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f2344,plain,
    ( ! [X76] :
        ( c0_1(X76)
        | ~ c1_1(X76) )
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f490,f467]) ).

fof(f490,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | c0_1(X76)
        | c2_1(X76) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f2435,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | ~ spl0_60
    | spl0_135
    | spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2434]) ).

fof(f2434,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_56
    | ~ spl0_60
    | spl0_135
    | spl0_136 ),
    inference(subsumption_resolution,[],[f2428,f919]) ).

fof(f919,plain,
    ( ~ c3_1(a1857)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f917,plain,
    ( spl0_135
  <=> c3_1(a1857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2428,plain,
    ( c3_1(a1857)
    | ~ spl0_51
    | ~ spl0_56
    | ~ spl0_60
    | spl0_136 ),
    inference(resolution,[],[f2424,f924]) ).

fof(f924,plain,
    ( ~ c0_1(a1857)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f922,plain,
    ( spl0_136
  <=> c0_1(a1857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2424,plain,
    ( ! [X92] :
        ( c0_1(X92)
        | c3_1(X92) )
    | ~ spl0_51
    | ~ spl0_56
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f514,f2344]) ).

fof(f514,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | c1_1(X92) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f513,plain,
    ( spl0_60
  <=> ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | c1_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2420,plain,
    ( ~ spl0_51
    | ~ spl0_59
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_59
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2413,f929]) ).

fof(f929,plain,
    ( c2_1(a1857)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl0_137
  <=> c2_1(a1857) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2413,plain,
    ( ~ c2_1(a1857)
    | ~ spl0_51
    | ~ spl0_59
    | spl0_136 ),
    inference(resolution,[],[f2410,f924]) ).

fof(f2410,plain,
    ( ! [X88] :
        ( c0_1(X88)
        | ~ c2_1(X88) )
    | ~ spl0_51
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f508,f467]) ).

fof(f508,plain,
    ( ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | c1_1(X88) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_59
  <=> ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2357,plain,
    ( ~ spl0_154
    | spl0_120
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2100,f842,f394,f837,f1094]) ).

fof(f1094,plain,
    ( spl0_154
  <=> c2_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f837,plain,
    ( spl0_120
  <=> c1_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f394,plain,
    ( spl0_36
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f842,plain,
    ( spl0_121
  <=> c3_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2100,plain,
    ( c1_1(a1864)
    | ~ c2_1(a1864)
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(resolution,[],[f395,f844]) ).

fof(f844,plain,
    ( c3_1(a1864)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f395,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c2_1(X23) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f2348,plain,
    ( ~ spl0_77
    | ~ spl0_76
    | ~ spl0_51
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2235,f597,f466,f602,f607]) ).

fof(f607,plain,
    ( spl0_77
  <=> c1_1(a1960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f602,plain,
    ( spl0_76
  <=> c2_1(a1960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f597,plain,
    ( spl0_75
  <=> c0_1(a1960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2235,plain,
    ( ~ c2_1(a1960)
    | ~ c1_1(a1960)
    | ~ spl0_51
    | spl0_75 ),
    inference(resolution,[],[f467,f599]) ).

fof(f599,plain,
    ( ~ c0_1(a1960)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f2341,plain,
    ( ~ spl0_28
    | ~ spl0_49
    | ~ spl0_58
    | spl0_78
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f2340]) ).

fof(f2340,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_49
    | ~ spl0_58
    | spl0_78
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f2327,f625]) ).

fof(f625,plain,
    ( c3_1(a1919)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f623,plain,
    ( spl0_80
  <=> c3_1(a1919) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2327,plain,
    ( ~ c3_1(a1919)
    | ~ spl0_28
    | ~ spl0_49
    | ~ spl0_58
    | spl0_78
    | ~ spl0_80 ),
    inference(resolution,[],[f2316,f2069]) ).

fof(f2069,plain,
    ( ~ c0_1(a1919)
    | ~ spl0_28
    | spl0_78
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f2062,f615]) ).

fof(f615,plain,
    ( ~ c2_1(a1919)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl0_78
  <=> c2_1(a1919) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2062,plain,
    ( c2_1(a1919)
    | ~ c0_1(a1919)
    | ~ spl0_28
    | ~ spl0_80 ),
    inference(resolution,[],[f361,f625]) ).

fof(f2316,plain,
    ( ! [X85] :
        ( c0_1(X85)
        | ~ c3_1(X85) )
    | ~ spl0_49
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f502,f459]) ).

fof(f502,plain,
    ( ! [X85] :
        ( ~ c3_1(X85)
        | c0_1(X85)
        | c1_1(X85) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl0_58
  <=> ! [X85] :
        ( ~ c3_1(X85)
        | c0_1(X85)
        | c1_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2339,plain,
    ( ~ spl0_49
    | ~ spl0_58
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f2338]) ).

fof(f2338,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_58
    | spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f2326,f673]) ).

fof(f673,plain,
    ( c3_1(a1898)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f671,plain,
    ( spl0_89
  <=> c3_1(a1898) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2326,plain,
    ( ~ c3_1(a1898)
    | ~ spl0_49
    | ~ spl0_58
    | spl0_88 ),
    inference(resolution,[],[f2316,f668]) ).

fof(f668,plain,
    ( ~ c0_1(a1898)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_88
  <=> c0_1(a1898) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2262,plain,
    ( ~ spl0_48
    | ~ spl0_52
    | spl0_91
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f2261]) ).

fof(f2261,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_52
    | spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f2255,f689]) ).

fof(f689,plain,
    ( c2_1(a1890)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f687,plain,
    ( spl0_92
  <=> c2_1(a1890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2255,plain,
    ( ~ c2_1(a1890)
    | ~ spl0_48
    | ~ spl0_52
    | spl0_91 ),
    inference(resolution,[],[f2245,f684]) ).

fof(f684,plain,
    ( ~ c0_1(a1890)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f682,plain,
    ( spl0_91
  <=> c0_1(a1890) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2245,plain,
    ( ! [X70] :
        ( c0_1(X70)
        | ~ c2_1(X70) )
    | ~ spl0_48
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f473,f451]) ).

fof(f451,plain,
    ( ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | ~ c3_1(X48) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl0_48
  <=> ! [X48] :
        ( ~ c3_1(X48)
        | c0_1(X48)
        | ~ c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f473,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | c0_1(X70)
        | c3_1(X70) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl0_52
  <=> ! [X70] :
        ( ~ c2_1(X70)
        | c0_1(X70)
        | c3_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2260,plain,
    ( ~ spl0_48
    | ~ spl0_52
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2259]) ).

fof(f2259,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_52
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2250,f929]) ).

fof(f2250,plain,
    ( ~ c2_1(a1857)
    | ~ spl0_48
    | ~ spl0_52
    | spl0_136 ),
    inference(resolution,[],[f2245,f924]) ).

fof(f2175,plain,
    ( spl0_49
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f2174,f450,f351,f458]) ).

fof(f2174,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f2155]) ).

fof(f2155,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(resolution,[],[f451,f352]) ).

fof(f2142,plain,
    ( ~ spl0_47
    | spl0_111
    | spl0_112
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2141]) ).

fof(f2141,plain,
    ( $false
    | ~ spl0_47
    | spl0_111
    | spl0_112
    | spl0_113 ),
    inference(subsumption_resolution,[],[f2140,f791]) ).

fof(f791,plain,
    ( ~ c3_1(a1867)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f789,plain,
    ( spl0_111
  <=> c3_1(a1867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2140,plain,
    ( c3_1(a1867)
    | ~ spl0_47
    | spl0_112
    | spl0_113 ),
    inference(subsumption_resolution,[],[f2132,f801]) ).

fof(f801,plain,
    ( ~ c1_1(a1867)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f799,plain,
    ( spl0_113
  <=> c1_1(a1867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2132,plain,
    ( c1_1(a1867)
    | c3_1(a1867)
    | ~ spl0_47
    | spl0_112 ),
    inference(resolution,[],[f444,f796]) ).

fof(f796,plain,
    ( ~ c2_1(a1867)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl0_112
  <=> c2_1(a1867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f444,plain,
    ( ! [X40] :
        ( c2_1(X40)
        | c1_1(X40)
        | c3_1(X40) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl0_47
  <=> ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1966,plain,
    ( ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f1965,plain,
    ( $false
    | ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1964,f748]) ).

fof(f748,plain,
    ( c3_1(a1872)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f746,plain,
    ( spl0_103
  <=> c3_1(a1872) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1964,plain,
    ( ~ c3_1(a1872)
    | ~ spl0_48
    | spl0_102
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1949,f743]) ).

fof(f1949,plain,
    ( c0_1(a1872)
    | ~ c3_1(a1872)
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f451,f753]) ).

fof(f1899,plain,
    ( spl0_154
    | ~ spl0_28
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1898,f847,f842,f360,f1094]) ).

fof(f847,plain,
    ( spl0_122
  <=> c0_1(a1864) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1898,plain,
    ( c2_1(a1864)
    | ~ spl0_28
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1891,f849]) ).

fof(f849,plain,
    ( c0_1(a1864)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f1891,plain,
    ( c2_1(a1864)
    | ~ c0_1(a1864)
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(resolution,[],[f361,f844]) ).

fof(f1879,plain,
    ( spl0_154
    | ~ spl0_46
    | spl0_120
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1861,f847,f837,f439,f1094]) ).

fof(f1861,plain,
    ( c2_1(a1864)
    | ~ spl0_46
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1854,f839]) ).

fof(f839,plain,
    ( ~ c1_1(a1864)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f1854,plain,
    ( c1_1(a1864)
    | c2_1(a1864)
    | ~ spl0_46
    | ~ spl0_122 ),
    inference(resolution,[],[f440,f849]) ).

fof(f1876,plain,
    ( spl0_85
    | spl0_164
    | ~ spl0_46
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1857,f655,f439,f1873,f650]) ).

fof(f1857,plain,
    ( c1_1(a1899)
    | c2_1(a1899)
    | ~ spl0_46
    | ~ spl0_86 ),
    inference(resolution,[],[f440,f657]) ).

fof(f1842,plain,
    ( ~ spl0_22
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(avatar_contradiction_clause,[],[f1841]) ).

fof(f1841,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1840,f572]) ).

fof(f1840,plain,
    ( ~ c2_1(a1877)
    | ~ spl0_22
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f1837,f567]) ).

fof(f1837,plain,
    ( ~ c3_1(a1877)
    | ~ c2_1(a1877)
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(resolution,[],[f577,f335]) ).

fof(f577,plain,
    ( c0_1(a1877)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl0_71
  <=> c0_1(a1877) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1831,plain,
    ( ~ spl0_40
    | ~ spl0_46
    | spl0_82
    | ~ spl0_83 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1830,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_46
    | spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f1824,f636]) ).

fof(f636,plain,
    ( ~ c1_1(a1911)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f634,plain,
    ( spl0_82
  <=> c1_1(a1911) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1824,plain,
    ( c1_1(a1911)
    | ~ spl0_40
    | ~ spl0_46
    | ~ spl0_83 ),
    inference(resolution,[],[f1820,f641]) ).

fof(f1820,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39) )
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f440,f412]) ).

fof(f412,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c1_1(X26)
        | ~ c2_1(X26) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_40
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1829,plain,
    ( ~ spl0_40
    | ~ spl0_46
    | spl0_99
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1828]) ).

fof(f1828,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_46
    | spl0_99
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1822,f727]) ).

fof(f727,plain,
    ( ~ c1_1(a1874)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_99
  <=> c1_1(a1874) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1822,plain,
    ( c1_1(a1874)
    | ~ spl0_40
    | ~ spl0_46
    | ~ spl0_101 ),
    inference(resolution,[],[f1820,f737]) ).

fof(f737,plain,
    ( c0_1(a1874)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_101
  <=> c0_1(a1874) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1803,plain,
    ( spl0_162
    | ~ spl0_31
    | spl0_105
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1802,f767,f757,f372,f1416]) ).

fof(f372,plain,
    ( spl0_31
  <=> ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | c3_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f757,plain,
    ( spl0_105
  <=> c3_1(a1870) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1802,plain,
    ( c2_1(a1870)
    | ~ spl0_31
    | spl0_105
    | ~ spl0_107 ),
    inference(subsumption_resolution,[],[f1799,f759]) ).

fof(f759,plain,
    ( ~ c3_1(a1870)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f1799,plain,
    ( c2_1(a1870)
    | c3_1(a1870)
    | ~ spl0_31
    | ~ spl0_107 ),
    inference(resolution,[],[f373,f769]) ).

fof(f373,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | c3_1(X10) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1750,plain,
    ( ~ spl0_36
    | ~ spl0_44
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1749]) ).

fof(f1749,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_44
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1742,f839]) ).

fof(f1742,plain,
    ( c1_1(a1864)
    | ~ spl0_36
    | ~ spl0_44
    | ~ spl0_121 ),
    inference(resolution,[],[f1738,f844]) ).

fof(f1738,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c1_1(X35) )
    | ~ spl0_36
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f430,f395]) ).

fof(f430,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c1_1(X35)
        | c2_1(X35) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f429,plain,
    ( spl0_44
  <=> ! [X35] :
        ( ~ c3_1(X35)
        | c1_1(X35)
        | c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1703,plain,
    ( ~ spl0_26
    | ~ spl0_44
    | spl0_114
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1702]) ).

fof(f1702,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_44
    | spl0_114
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1695,f817]) ).

fof(f817,plain,
    ( c3_1(a1866)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl0_116
  <=> c3_1(a1866) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1695,plain,
    ( ~ c3_1(a1866)
    | ~ spl0_26
    | ~ spl0_44
    | spl0_114 ),
    inference(resolution,[],[f1690,f807]) ).

fof(f807,plain,
    ( ~ c2_1(a1866)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_114
  <=> c2_1(a1866) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1690,plain,
    ( ! [X35] :
        ( c2_1(X35)
        | ~ c3_1(X35) )
    | ~ spl0_26
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f430,f352]) ).

fof(f1701,plain,
    ( ~ spl0_26
    | ~ spl0_44
    | ~ spl0_121
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_44
    | ~ spl0_121
    | spl0_154 ),
    inference(subsumption_resolution,[],[f1694,f844]) ).

fof(f1694,plain,
    ( ~ c3_1(a1864)
    | ~ spl0_26
    | ~ spl0_44
    | spl0_154 ),
    inference(resolution,[],[f1690,f1095]) ).

fof(f1095,plain,
    ( ~ c2_1(a1864)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1686,plain,
    ( spl0_160
    | ~ spl0_34
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1685,f879,f874,f385,f1236]) ).

fof(f385,plain,
    ( spl0_34
  <=> ! [X14] :
        ( ~ c1_1(X14)
        | c3_1(X14)
        | ~ c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1685,plain,
    ( c3_1(a1862)
    | ~ spl0_34
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1679,f876]) ).

fof(f1679,plain,
    ( c3_1(a1862)
    | ~ c1_1(a1862)
    | ~ spl0_34
    | ~ spl0_128 ),
    inference(resolution,[],[f386,f881]) ).

fof(f386,plain,
    ( ! [X14] :
        ( ~ c0_1(X14)
        | c3_1(X14)
        | ~ c1_1(X14) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1642,plain,
    ( ~ spl0_26
    | ~ spl0_72
    | ~ spl0_73
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1641]) ).

fof(f1641,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_72
    | ~ spl0_73
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1640,f588]) ).

fof(f1640,plain,
    ( ~ c1_1(a1858)
    | ~ spl0_26
    | ~ spl0_72
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1623,f583]) ).

fof(f1623,plain,
    ( ~ c3_1(a1858)
    | ~ c1_1(a1858)
    | ~ spl0_26
    | spl0_161 ),
    inference(resolution,[],[f352,f1272]) ).

fof(f1272,plain,
    ( ~ c2_1(a1858)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f1627,plain,
    ( ~ spl0_26
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1626]) ).

fof(f1626,plain,
    ( $false
    | ~ spl0_26
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1625,f1009]) ).

fof(f1009,plain,
    ( c1_1(a1852)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1007,plain,
    ( spl0_152
  <=> c1_1(a1852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1625,plain,
    ( ~ c1_1(a1852)
    | ~ spl0_26
    | spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1613,f1004]) ).

fof(f1004,plain,
    ( c3_1(a1852)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1002,plain,
    ( spl0_151
  <=> c3_1(a1852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1613,plain,
    ( ~ c3_1(a1852)
    | ~ c1_1(a1852)
    | ~ spl0_26
    | spl0_150 ),
    inference(resolution,[],[f352,f999]) ).

fof(f999,plain,
    ( ~ c2_1(a1852)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f997,plain,
    ( spl0_150
  <=> c2_1(a1852) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1612,plain,
    ( ~ spl0_22
    | ~ spl0_28
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1611,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1608,f583]) ).

fof(f1608,plain,
    ( ~ c3_1(a1858)
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_74 ),
    inference(resolution,[],[f1602,f593]) ).

fof(f593,plain,
    ( c0_1(a1858)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f591,plain,
    ( spl0_74
  <=> c0_1(a1858) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1602,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | ~ c3_1(X6) )
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f361,f335]) ).

fof(f1586,plain,
    ( ~ spl0_154
    | ~ spl0_22
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1585,f847,f842,f334,f1094]) ).

fof(f1585,plain,
    ( ~ c2_1(a1864)
    | ~ spl0_22
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1549,f844]) ).

fof(f1549,plain,
    ( ~ c3_1(a1864)
    | ~ c2_1(a1864)
    | ~ spl0_22
    | ~ spl0_122 ),
    inference(resolution,[],[f335,f849]) ).

fof(f1568,plain,
    ( ~ spl0_23
    | ~ spl0_26
    | ~ spl0_51
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f1567]) ).

fof(f1567,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_26
    | ~ spl0_51
    | ~ spl0_66
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f1560,f551]) ).

fof(f551,plain,
    ( c3_1(a1878)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl0_66
  <=> c3_1(a1878) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1560,plain,
    ( ~ c3_1(a1878)
    | ~ spl0_23
    | ~ spl0_26
    | ~ spl0_51
    | ~ spl0_68 ),
    inference(resolution,[],[f1554,f561]) ).

fof(f561,plain,
    ( c1_1(a1878)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl0_68
  <=> c1_1(a1878) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1554,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c3_1(X3) )
    | ~ spl0_23
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f352,f1536]) ).

fof(f1536,plain,
    ( ! [X64] :
        ( ~ c2_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_23
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f467,f339]) ).

fof(f339,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1529,plain,
    ( ~ spl0_41
    | ~ spl0_47
    | spl0_111
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1528,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_47
    | spl0_111
    | spl0_113 ),
    inference(subsumption_resolution,[],[f1521,f801]) ).

fof(f1521,plain,
    ( c1_1(a1867)
    | ~ spl0_41
    | ~ spl0_47
    | spl0_111 ),
    inference(resolution,[],[f1504,f791]) ).

fof(f1504,plain,
    ( ! [X40] :
        ( c3_1(X40)
        | c1_1(X40) )
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f444,f416]) ).

fof(f416,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_41
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1503,plain,
    ( spl0_124
    | ~ spl0_41
    | spl0_123
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1502,f863,f853,f415,f858]) ).

fof(f858,plain,
    ( spl0_124
  <=> c1_1(a1863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f853,plain,
    ( spl0_123
  <=> c3_1(a1863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f863,plain,
    ( spl0_125
  <=> c2_1(a1863) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1502,plain,
    ( c1_1(a1863)
    | ~ spl0_41
    | spl0_123
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1498,f855]) ).

fof(f855,plain,
    ( ~ c3_1(a1863)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f1498,plain,
    ( c1_1(a1863)
    | c3_1(a1863)
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(resolution,[],[f865,f416]) ).

fof(f865,plain,
    ( c2_1(a1863)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f1496,plain,
    ( ~ spl0_44
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1495,plain,
    ( $false
    | ~ spl0_44
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1494,f615]) ).

fof(f1494,plain,
    ( c2_1(a1919)
    | ~ spl0_44
    | spl0_79
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f1489,f620]) ).

fof(f620,plain,
    ( ~ c1_1(a1919)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f618,plain,
    ( spl0_79
  <=> c1_1(a1919) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1489,plain,
    ( c1_1(a1919)
    | c2_1(a1919)
    | ~ spl0_44
    | ~ spl0_80 ),
    inference(resolution,[],[f430,f625]) ).

fof(f1456,plain,
    ( ~ spl0_153
    | ~ spl0_70
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1447,f575,f338,f570,f1074]) ).

fof(f1447,plain,
    ( ~ c2_1(a1877)
    | ~ c1_1(a1877)
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(resolution,[],[f577,f339]) ).

fof(f1451,plain,
    ( spl0_160
    | ~ spl0_31
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1450,f874,f869,f372,f1236]) ).

fof(f1450,plain,
    ( c3_1(a1862)
    | ~ spl0_31
    | spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1449,f871]) ).

fof(f1449,plain,
    ( c2_1(a1862)
    | c3_1(a1862)
    | ~ spl0_31
    | ~ spl0_127 ),
    inference(resolution,[],[f876,f373]) ).

fof(f1439,plain,
    ( ~ spl0_71
    | ~ spl0_23
    | ~ spl0_40
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1437,f570,f411,f338,f575]) ).

fof(f1437,plain,
    ( ~ c0_1(a1877)
    | ~ spl0_23
    | ~ spl0_40
    | ~ spl0_70 ),
    inference(resolution,[],[f572,f1242]) ).

fof(f1242,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | ~ c0_1(X26) )
    | ~ spl0_23
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f412,f339]) ).

fof(f1277,plain,
    ( ~ spl0_74
    | ~ spl0_32
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1276,f586,f581,f377,f591]) ).

fof(f377,plain,
    ( spl0_32
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | ~ c0_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1276,plain,
    ( ~ c0_1(a1858)
    | ~ spl0_32
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1274,f583]) ).

fof(f1274,plain,
    ( ~ c0_1(a1858)
    | ~ c3_1(a1858)
    | ~ spl0_32
    | ~ spl0_73 ),
    inference(resolution,[],[f588,f378]) ).

fof(f378,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | ~ c0_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1266,plain,
    ( spl0_81
    | ~ spl0_42
    | spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1263,f639,f634,f420,f629]) ).

fof(f629,plain,
    ( spl0_81
  <=> c3_1(a1911) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f420,plain,
    ( spl0_42
  <=> ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c3_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1263,plain,
    ( c3_1(a1911)
    | ~ spl0_42
    | spl0_82
    | ~ spl0_83 ),
    inference(subsumption_resolution,[],[f1255,f636]) ).

fof(f1255,plain,
    ( c1_1(a1911)
    | c3_1(a1911)
    | ~ spl0_42
    | ~ spl0_83 ),
    inference(resolution,[],[f421,f641]) ).

fof(f421,plain,
    ( ! [X32] :
        ( ~ c0_1(X32)
        | c1_1(X32)
        | c3_1(X32) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f1239,plain,
    ( ~ spl0_160
    | ~ spl0_128
    | ~ spl0_32
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1233,f874,f377,f879,f1236]) ).

fof(f1233,plain,
    ( ~ c0_1(a1862)
    | ~ c3_1(a1862)
    | ~ spl0_32
    | ~ spl0_127 ),
    inference(resolution,[],[f876,f378]) ).

fof(f1215,plain,
    ( spl0_96
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1214,f719,f714,f372,f338,f709]) ).

fof(f709,plain,
    ( spl0_96
  <=> c3_1(a1875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f714,plain,
    ( spl0_97
  <=> c1_1(a1875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f719,plain,
    ( spl0_98
  <=> c0_1(a1875) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1214,plain,
    ( c3_1(a1875)
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1194,f1128]) ).

fof(f1128,plain,
    ( ~ c2_1(a1875)
    | ~ spl0_23
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1124,f716]) ).

fof(f716,plain,
    ( c1_1(a1875)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f1124,plain,
    ( ~ c2_1(a1875)
    | ~ c1_1(a1875)
    | ~ spl0_23
    | ~ spl0_98 ),
    inference(resolution,[],[f339,f721]) ).

fof(f721,plain,
    ( c0_1(a1875)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1194,plain,
    ( c2_1(a1875)
    | c3_1(a1875)
    | ~ spl0_31
    | ~ spl0_97 ),
    inference(resolution,[],[f373,f716]) ).

fof(f1201,plain,
    ( spl0_156
    | ~ spl0_31
    | spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1198,f911,f901,f372,f1117]) ).

fof(f1198,plain,
    ( c3_1(a1860)
    | ~ spl0_31
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1193,f903]) ).

fof(f1193,plain,
    ( c2_1(a1860)
    | c3_1(a1860)
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(resolution,[],[f373,f913]) ).

fof(f913,plain,
    ( c1_1(a1860)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1181,plain,
    ( ~ spl0_35
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f1180]) ).

fof(f1180,plain,
    ( $false
    | ~ spl0_35
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f1179,f647]) ).

fof(f647,plain,
    ( ~ c3_1(a1899)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl0_84
  <=> c3_1(a1899) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1179,plain,
    ( c3_1(a1899)
    | ~ spl0_35
    | spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f1174,f652]) ).

fof(f652,plain,
    ( ~ c2_1(a1899)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f1174,plain,
    ( c2_1(a1899)
    | c3_1(a1899)
    | ~ spl0_35
    | ~ spl0_86 ),
    inference(resolution,[],[f390,f657]) ).

fof(f390,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f389,plain,
    ( spl0_35
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | c3_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1163,plain,
    ( ~ spl0_104
    | spl0_157
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1158,f746,f394,f1160,f751]) ).

fof(f1158,plain,
    ( c1_1(a1872)
    | ~ c2_1(a1872)
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(resolution,[],[f748,f395]) ).

fof(f1111,plain,
    ( ~ spl0_23
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f1110]) ).

fof(f1110,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1106,f721]) ).

fof(f1106,plain,
    ( ~ c0_1(a1875)
    | ~ spl0_23
    | ~ spl0_26
    | ~ spl0_31
    | ~ spl0_97 ),
    inference(resolution,[],[f1088,f716]) ).

fof(f1088,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_23
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f339,f1033]) ).

fof(f1033,plain,
    ( ! [X10] :
        ( c2_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f373,f352]) ).

fof(f1092,plain,
    ( ~ spl0_122
    | ~ spl0_37
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1091,f842,f837,f398,f847]) ).

fof(f398,plain,
    ( spl0_37
  <=> ! [X24] :
        ( ~ c3_1(X24)
        | c1_1(X24)
        | ~ c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1091,plain,
    ( ~ c0_1(a1864)
    | ~ spl0_37
    | spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1089,f839]) ).

fof(f1089,plain,
    ( c1_1(a1864)
    | ~ c0_1(a1864)
    | ~ spl0_37
    | ~ spl0_121 ),
    inference(resolution,[],[f844,f399]) ).

fof(f399,plain,
    ( ! [X24] :
        ( ~ c3_1(X24)
        | c1_1(X24)
        | ~ c0_1(X24) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1086,plain,
    ( ~ spl0_23
    | ~ spl0_29
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1085,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_29
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1082,f716]) ).

fof(f1082,plain,
    ( ~ c1_1(a1875)
    | ~ spl0_23
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(resolution,[],[f1070,f721]) ).

fof(f1070,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f339,f365]) ).

fof(f1077,plain,
    ( ~ spl0_71
    | spl0_153
    | ~ spl0_37
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1071,f565,f398,f1074,f575]) ).

fof(f1071,plain,
    ( c1_1(a1877)
    | ~ c0_1(a1877)
    | ~ spl0_37
    | ~ spl0_69 ),
    inference(resolution,[],[f567,f399]) ).

fof(f1069,plain,
    ( ~ spl0_37
    | ~ spl0_41
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1068,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_41
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1067,f737]) ).

fof(f1067,plain,
    ( ~ c0_1(a1874)
    | ~ spl0_37
    | ~ spl0_41
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1065,f727]) ).

fof(f1065,plain,
    ( c1_1(a1874)
    | ~ c0_1(a1874)
    | ~ spl0_37
    | ~ spl0_41
    | spl0_99
    | ~ spl0_100 ),
    inference(resolution,[],[f1064,f399]) ).

fof(f1064,plain,
    ( c3_1(a1874)
    | ~ spl0_41
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1059,f727]) ).

fof(f1059,plain,
    ( c1_1(a1874)
    | c3_1(a1874)
    | ~ spl0_41
    | ~ spl0_100 ),
    inference(resolution,[],[f416,f732]) ).

fof(f732,plain,
    ( c2_1(a1874)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl0_100
  <=> c2_1(a1874) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1042,plain,
    ( ~ spl0_34
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1041,plain,
    ( $false
    | ~ spl0_34
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1040,f716]) ).

fof(f1040,plain,
    ( ~ c1_1(a1875)
    | ~ spl0_34
    | spl0_96
    | ~ spl0_98 ),
    inference(subsumption_resolution,[],[f1037,f711]) ).

fof(f711,plain,
    ( ~ c3_1(a1875)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1037,plain,
    ( c3_1(a1875)
    | ~ c1_1(a1875)
    | ~ spl0_34
    | ~ spl0_98 ),
    inference(resolution,[],[f386,f721]) ).

fof(f1017,plain,
    ( ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_contradiction_clause,[],[f1016]) ).

fof(f1016,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f1015,f540]) ).

fof(f540,plain,
    ( c1_1(a1885)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f538,plain,
    ( spl0_64
  <=> c1_1(a1885) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1015,plain,
    ( ~ c1_1(a1885)
    | ~ spl0_23
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f1012,f535]) ).

fof(f535,plain,
    ( c2_1(a1885)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl0_63
  <=> c2_1(a1885) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1012,plain,
    ( ~ c2_1(a1885)
    | ~ c1_1(a1885)
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(resolution,[],[f339,f545]) ).

fof(f545,plain,
    ( c0_1(a1885)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f543,plain,
    ( spl0_65
  <=> c0_1(a1885) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1010,plain,
    ( ~ spl0_11
    | spl0_152 ),
    inference(avatar_split_clause,[],[f8,f1007,f283]) ).

fof(f283,plain,
    ( spl0_11
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f8,plain,
    ( c1_1(a1852)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp19
      | hskp4
      | hskp15 )
    & ( hskp24
      | hskp9
      | hskp25 )
    & ( hskp5
      | hskp6
      | hskp25 )
    & ( hskp0
      | hskp28
      | hskp10 )
    & ( hskp6
      | hskp1
      | hskp18 )
    & ( hskp12
      | hskp22
      | hskp18 )
    & ( hskp15
      | hskp10
      | hskp18 )
    & ( hskp24
      | hskp10
      | hskp8 )
    & ( hskp16
      | hskp17
      | hskp8 )
    & ( hskp1
      | hskp27
      | hskp29 )
    & ( hskp0
      | hskp28
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp0
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp14
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp26
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp17
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp7
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp9
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp29
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp22
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp8
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c0_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c1_1(X49)
          | c3_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X59] :
          ( ~ c1_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp20
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X69] :
          ( ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp29
      | ! [X71] :
          ( ~ c1_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp1
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X82] :
          ( c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp16
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X93] :
          ( ~ c2_1(X93)
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X101] :
          ( ~ c3_1(X101)
          | c2_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a1885)
        & c1_1(a1885)
        & c0_1(a1885)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1878)
        & c2_1(a1878)
        & c1_1(a1878)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1877)
        & c2_1(a1877)
        & c0_1(a1877)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a1858)
        & c1_1(a1858)
        & c0_1(a1858)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1960)
        & c2_1(a1960)
        & c1_1(a1960)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a1919)
        & ~ c1_1(a1919)
        & c3_1(a1919)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1911)
        & ~ c1_1(a1911)
        & c0_1(a1911)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1899)
        & ~ c2_1(a1899)
        & c0_1(a1899)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1898)
        & ~ c0_1(a1898)
        & c3_1(a1898)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a1890)
        & ~ c0_1(a1890)
        & c2_1(a1890)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1884)
        & ~ c1_1(a1884)
        & ~ c0_1(a1884)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a1875)
        & c1_1(a1875)
        & c0_1(a1875)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1874)
        & c2_1(a1874)
        & c0_1(a1874)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a1872)
        & c3_1(a1872)
        & c2_1(a1872)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1870)
        & ~ c0_1(a1870)
        & c1_1(a1870)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1868)
        & c3_1(a1868)
        & c0_1(a1868)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1867)
        & ~ c2_1(a1867)
        & ~ c1_1(a1867)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1866)
        & ~ c0_1(a1866)
        & c3_1(a1866)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1865)
        & ~ c2_1(a1865)
        & ~ c0_1(a1865)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1864)
        & c3_1(a1864)
        & c0_1(a1864)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1863)
        & ~ c1_1(a1863)
        & c2_1(a1863)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a1862)
        & c1_1(a1862)
        & c0_1(a1862)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a1861)
        & ~ c1_1(a1861)
        & c0_1(a1861)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1860)
        & ~ c0_1(a1860)
        & c1_1(a1860)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1857)
        & ~ c0_1(a1857)
        & c2_1(a1857)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a1856)
        & c3_1(a1856)
        & c2_1(a1856)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1855)
        & ~ c1_1(a1855)
        & ~ c0_1(a1855)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a1854)
        & c2_1(a1854)
        & c1_1(a1854)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a1853)
        & c3_1(a1853)
        & c1_1(a1853)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1852)
        & c3_1(a1852)
        & c1_1(a1852)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp19
      | hskp4
      | hskp15 )
    & ( hskp24
      | hskp9
      | hskp25 )
    & ( hskp5
      | hskp6
      | hskp25 )
    & ( hskp0
      | hskp28
      | hskp10 )
    & ( hskp6
      | hskp1
      | hskp18 )
    & ( hskp12
      | hskp22
      | hskp18 )
    & ( hskp15
      | hskp10
      | hskp18 )
    & ( hskp24
      | hskp10
      | hskp8 )
    & ( hskp16
      | hskp17
      | hskp8 )
    & ( hskp1
      | hskp27
      | hskp29 )
    & ( hskp0
      | hskp28
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp0
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp14
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp26
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp17
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp7
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp8
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp8
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp9
      | ! [X35] :
          ( ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp29
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp22
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp8
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c0_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c1_1(X49)
          | c3_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X59] :
          ( ~ c1_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp20
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X69] :
          ( ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp29
      | ! [X71] :
          ( ~ c1_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp1
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X82] :
          ( c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp16
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X93] :
          ( ~ c2_1(X93)
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X101] :
          ( ~ c3_1(X101)
          | c2_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a1885)
        & c1_1(a1885)
        & c0_1(a1885)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1878)
        & c2_1(a1878)
        & c1_1(a1878)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1877)
        & c2_1(a1877)
        & c0_1(a1877)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a1858)
        & c1_1(a1858)
        & c0_1(a1858)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1960)
        & c2_1(a1960)
        & c1_1(a1960)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a1919)
        & ~ c1_1(a1919)
        & c3_1(a1919)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1911)
        & ~ c1_1(a1911)
        & c0_1(a1911)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1899)
        & ~ c2_1(a1899)
        & c0_1(a1899)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1898)
        & ~ c0_1(a1898)
        & c3_1(a1898)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a1890)
        & ~ c0_1(a1890)
        & c2_1(a1890)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1884)
        & ~ c1_1(a1884)
        & ~ c0_1(a1884)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a1875)
        & c1_1(a1875)
        & c0_1(a1875)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1874)
        & c2_1(a1874)
        & c0_1(a1874)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a1872)
        & c3_1(a1872)
        & c2_1(a1872)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1870)
        & ~ c0_1(a1870)
        & c1_1(a1870)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1868)
        & c3_1(a1868)
        & c0_1(a1868)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1867)
        & ~ c2_1(a1867)
        & ~ c1_1(a1867)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1866)
        & ~ c0_1(a1866)
        & c3_1(a1866)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1865)
        & ~ c2_1(a1865)
        & ~ c0_1(a1865)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1864)
        & c3_1(a1864)
        & c0_1(a1864)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1863)
        & ~ c1_1(a1863)
        & c2_1(a1863)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a1862)
        & c1_1(a1862)
        & c0_1(a1862)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a1861)
        & ~ c1_1(a1861)
        & c0_1(a1861)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1860)
        & ~ c0_1(a1860)
        & c1_1(a1860)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1857)
        & ~ c0_1(a1857)
        & c2_1(a1857)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a1856)
        & c3_1(a1856)
        & c2_1(a1856)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1855)
        & ~ c1_1(a1855)
        & ~ c0_1(a1855)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a1854)
        & c2_1(a1854)
        & c1_1(a1854)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a1853)
        & c3_1(a1853)
        & c1_1(a1853)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1852)
        & c3_1(a1852)
        & c1_1(a1852)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp19
      | hskp4
      | hskp15 )
    & ( hskp24
      | hskp9
      | hskp25 )
    & ( hskp5
      | hskp6
      | hskp25 )
    & ( hskp0
      | hskp28
      | hskp10 )
    & ( hskp6
      | hskp1
      | hskp18 )
    & ( hskp12
      | hskp22
      | hskp18 )
    & ( hskp15
      | hskp10
      | hskp18 )
    & ( hskp24
      | hskp10
      | hskp8 )
    & ( hskp16
      | hskp17
      | hskp8 )
    & ( hskp1
      | hskp27
      | hskp29 )
    & ( hskp0
      | hskp28
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp24
      | hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp3
      | hskp26
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp19
      | hskp14
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | c2_1(X3) ) ) )
    & ( hskp16
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp22
      | hskp27
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp10
      | hskp26
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp10
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c1_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp9
      | hskp15
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp15
      | hskp17
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp20
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp24
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c1_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c1_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp18
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp1
      | hskp7
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp23
      | hskp26
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp18
      | hskp8
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp23
      | hskp8
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c2_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp21
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp5
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp13
      | hskp9
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp20
      | hskp29
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp9
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp27
      | hskp26
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp16
      | hskp22
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp21
      | hskp8
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp9
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c0_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp27
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c3_1(X49)
            | c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp27
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp15
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp16
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | ~ c0_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp19
      | hskp20
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp29
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp8
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp27
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp26
      | hskp29
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp19
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp11
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp9
      | hskp1
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp8
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp3
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | ~ c0_1(X79)
            | c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp28
      | hskp27
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp17
      | hskp18
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp17
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp13
      | hskp16
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp3
      | hskp15
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp4
      | hskp14
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp13
      | hskp12
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp11
      | hskp10
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp9
      | hskp8
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp7
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | ~ c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp6
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | ~ c1_1(X93)
            | ~ c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp3
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp26
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp3
      | hskp2
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp1
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c2_1(X101)
            | c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c0_1(X103)
            | c2_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c1_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c0_1(X106)
            | c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c1_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp0
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ( c2_1(a1885)
        & c1_1(a1885)
        & c0_1(a1885)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1878)
        & c2_1(a1878)
        & c1_1(a1878)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1877)
        & c2_1(a1877)
        & c0_1(a1877)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a1858)
        & c1_1(a1858)
        & c0_1(a1858)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a1960)
        & c2_1(a1960)
        & c1_1(a1960)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a1919)
        & ~ c1_1(a1919)
        & c3_1(a1919)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1911)
        & ~ c1_1(a1911)
        & c0_1(a1911)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1899)
        & ~ c2_1(a1899)
        & c0_1(a1899)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1898)
        & ~ c0_1(a1898)
        & c3_1(a1898)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a1890)
        & ~ c0_1(a1890)
        & c2_1(a1890)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1884)
        & ~ c1_1(a1884)
        & ~ c0_1(a1884)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a1875)
        & c1_1(a1875)
        & c0_1(a1875)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a1874)
        & c2_1(a1874)
        & c0_1(a1874)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c0_1(a1872)
        & c3_1(a1872)
        & c2_1(a1872)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1870)
        & ~ c0_1(a1870)
        & c1_1(a1870)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1868)
        & c3_1(a1868)
        & c0_1(a1868)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1867)
        & ~ c2_1(a1867)
        & ~ c1_1(a1867)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1866)
        & ~ c0_1(a1866)
        & c3_1(a1866)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1865)
        & ~ c2_1(a1865)
        & ~ c0_1(a1865)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1864)
        & c3_1(a1864)
        & c0_1(a1864)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1863)
        & ~ c1_1(a1863)
        & c2_1(a1863)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a1862)
        & c1_1(a1862)
        & c0_1(a1862)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a1861)
        & ~ c1_1(a1861)
        & c0_1(a1861)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1860)
        & ~ c0_1(a1860)
        & c1_1(a1860)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1857)
        & ~ c0_1(a1857)
        & c2_1(a1857)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a1856)
        & c3_1(a1856)
        & c2_1(a1856)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1855)
        & ~ c1_1(a1855)
        & ~ c0_1(a1855)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a1854)
        & c2_1(a1854)
        & c1_1(a1854)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a1853)
        & c3_1(a1853)
        & c1_1(a1853)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1852)
        & c3_1(a1852)
        & c1_1(a1852)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp19
          | hskp4
          | hskp15 )
        & ( hskp24
          | hskp9
          | hskp25 )
        & ( hskp5
          | hskp6
          | hskp25 )
        & ( hskp0
          | hskp28
          | hskp10 )
        & ( hskp6
          | hskp1
          | hskp18 )
        & ( hskp12
          | hskp22
          | hskp18 )
        & ( hskp15
          | hskp10
          | hskp18 )
        & ( hskp24
          | hskp10
          | hskp8 )
        & ( hskp16
          | hskp17
          | hskp8 )
        & ( hskp1
          | hskp27
          | hskp29 )
        & ( hskp0
          | hskp28
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp24
          | hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp3
          | hskp26
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp19
          | hskp14
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp16
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp22
          | hskp27
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp10
          | hskp26
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp10
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp9
          | hskp15
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp15
          | hskp17
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp20
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp24
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp18
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp1
          | hskp7
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp23
          | hskp26
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp18
          | hskp8
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp23
          | hskp8
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp21
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp5
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp13
          | hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp20
          | hskp29
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp9
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp27
          | hskp26
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp16
          | hskp22
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp21
          | hskp8
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp9
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp27
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp27
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp15
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp16
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp19
          | hskp20
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp29
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp8
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp27
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp26
          | hskp29
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp19
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp11
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp9
          | hskp1
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp8
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp3
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp28
          | hskp27
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp17
          | hskp18
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp17
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp13
          | hskp16
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp3
          | hskp15
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp4
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp13
          | hskp12
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp11
          | hskp10
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp9
          | hskp8
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp7
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp6
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp3
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp26
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp5
          | hskp4
          | ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp3
          | hskp2
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp1
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c0_1(X103)
                | c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c1_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp0
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ( c2_1(a1885)
            & c1_1(a1885)
            & c0_1(a1885)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1878)
            & c2_1(a1878)
            & c1_1(a1878)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1877)
            & c2_1(a1877)
            & c0_1(a1877)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a1858)
            & c1_1(a1858)
            & c0_1(a1858)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1960)
            & c2_1(a1960)
            & c1_1(a1960)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a1919)
            & ~ c1_1(a1919)
            & c3_1(a1919)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1911)
            & ~ c1_1(a1911)
            & c0_1(a1911)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1899)
            & ~ c2_1(a1899)
            & c0_1(a1899)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1898)
            & ~ c0_1(a1898)
            & c3_1(a1898)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1890)
            & ~ c0_1(a1890)
            & c2_1(a1890)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1884)
            & ~ c1_1(a1884)
            & ~ c0_1(a1884)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a1875)
            & c1_1(a1875)
            & c0_1(a1875)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1874)
            & c2_1(a1874)
            & c0_1(a1874)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a1872)
            & c3_1(a1872)
            & c2_1(a1872)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1870)
            & ~ c0_1(a1870)
            & c1_1(a1870)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1868)
            & c3_1(a1868)
            & c0_1(a1868)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1867)
            & ~ c2_1(a1867)
            & ~ c1_1(a1867)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a1866)
            & ~ c0_1(a1866)
            & c3_1(a1866)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1865)
            & ~ c2_1(a1865)
            & ~ c0_1(a1865)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1864)
            & c3_1(a1864)
            & c0_1(a1864)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1863)
            & ~ c1_1(a1863)
            & c2_1(a1863)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a1862)
            & c1_1(a1862)
            & c0_1(a1862)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1861)
            & ~ c1_1(a1861)
            & c0_1(a1861)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1860)
            & ~ c0_1(a1860)
            & c1_1(a1860)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1857)
            & ~ c0_1(a1857)
            & c2_1(a1857)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a1856)
            & c3_1(a1856)
            & c2_1(a1856)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1855)
            & ~ c1_1(a1855)
            & ~ c0_1(a1855)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1854)
            & c2_1(a1854)
            & c1_1(a1854)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1853)
            & c3_1(a1853)
            & c1_1(a1853)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1852)
            & c3_1(a1852)
            & c1_1(a1852)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp4
          | hskp15 )
        & ( hskp24
          | hskp9
          | hskp25 )
        & ( hskp5
          | hskp6
          | hskp25 )
        & ( hskp0
          | hskp28
          | hskp10 )
        & ( hskp6
          | hskp1
          | hskp18 )
        & ( hskp12
          | hskp22
          | hskp18 )
        & ( hskp15
          | hskp10
          | hskp18 )
        & ( hskp24
          | hskp10
          | hskp8 )
        & ( hskp16
          | hskp17
          | hskp8 )
        & ( hskp1
          | hskp27
          | hskp29 )
        & ( hskp0
          | hskp28
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c2_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp24
          | hskp0
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp3
          | hskp26
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( hskp19
          | hskp14
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp16
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp22
          | hskp27
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp10
          | hskp26
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp10
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp9
          | hskp15
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp15
          | hskp17
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp20
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c1_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c3_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp24
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp18
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp1
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp23
          | hskp26
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp18
          | hskp8
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp23
          | hskp8
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp21
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp5
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp13
          | hskp9
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp20
          | hskp29
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp9
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp27
          | hskp26
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp16
          | hskp22
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp21
          | hskp8
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp9
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp27
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c3_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp27
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp16
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c0_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp19
          | hskp20
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp29
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp8
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp27
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp26
          | hskp29
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp19
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp11
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp9
          | hskp1
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp8
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp3
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp28
          | hskp27
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp17
          | hskp18
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp17
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp13
          | hskp16
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp3
          | hskp15
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp4
          | hskp14
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp13
          | hskp12
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp11
          | hskp10
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp9
          | hskp8
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp7
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp6
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp3
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp26
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp5
          | hskp4
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | hskp2
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp1
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a1885)
            & c1_1(a1885)
            & c0_1(a1885)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1878)
            & c2_1(a1878)
            & c1_1(a1878)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1877)
            & c2_1(a1877)
            & c0_1(a1877)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a1858)
            & c1_1(a1858)
            & c0_1(a1858)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1960)
            & c2_1(a1960)
            & c1_1(a1960)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a1919)
            & ~ c1_1(a1919)
            & c3_1(a1919)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1911)
            & ~ c1_1(a1911)
            & c0_1(a1911)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1899)
            & ~ c2_1(a1899)
            & c0_1(a1899)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1898)
            & ~ c0_1(a1898)
            & c3_1(a1898)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1890)
            & ~ c0_1(a1890)
            & c2_1(a1890)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1884)
            & ~ c1_1(a1884)
            & ~ c0_1(a1884)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a1875)
            & c1_1(a1875)
            & c0_1(a1875)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1874)
            & c2_1(a1874)
            & c0_1(a1874)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a1872)
            & c3_1(a1872)
            & c2_1(a1872)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1870)
            & ~ c0_1(a1870)
            & c1_1(a1870)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1868)
            & c3_1(a1868)
            & c0_1(a1868)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1867)
            & ~ c2_1(a1867)
            & ~ c1_1(a1867)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a1866)
            & ~ c0_1(a1866)
            & c3_1(a1866)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1865)
            & ~ c2_1(a1865)
            & ~ c0_1(a1865)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1864)
            & c3_1(a1864)
            & c0_1(a1864)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1863)
            & ~ c1_1(a1863)
            & c2_1(a1863)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a1862)
            & c1_1(a1862)
            & c0_1(a1862)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1861)
            & ~ c1_1(a1861)
            & c0_1(a1861)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1860)
            & ~ c0_1(a1860)
            & c1_1(a1860)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1857)
            & ~ c0_1(a1857)
            & c2_1(a1857)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a1856)
            & c3_1(a1856)
            & c2_1(a1856)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1855)
            & ~ c1_1(a1855)
            & ~ c0_1(a1855)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1854)
            & c2_1(a1854)
            & c1_1(a1854)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1853)
            & c3_1(a1853)
            & c1_1(a1853)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1852)
            & c3_1(a1852)
            & c1_1(a1852)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp19
        | hskp4
        | hskp15 )
      & ( hskp24
        | hskp9
        | hskp25 )
      & ( hskp5
        | hskp6
        | hskp25 )
      & ( hskp0
        | hskp28
        | hskp10 )
      & ( hskp6
        | hskp1
        | hskp18 )
      & ( hskp12
        | hskp22
        | hskp18 )
      & ( hskp15
        | hskp10
        | hskp18 )
      & ( hskp24
        | hskp10
        | hskp8 )
      & ( hskp16
        | hskp17
        | hskp8 )
      & ( hskp1
        | hskp27
        | hskp29 )
      & ( hskp0
        | hskp28
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c2_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp24
        | hskp0
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp3
        | hskp26
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) ) )
      & ( hskp19
        | hskp14
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c1_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp16
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp22
        | hskp27
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp10
        | hskp26
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp10
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp9
        | hskp15
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp15
        | hskp17
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | c3_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp20
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c1_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c3_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp24
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c0_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp18
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp1
        | hskp7
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp23
        | hskp26
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp18
        | hskp8
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp23
        | hskp8
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c1_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c1_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp21
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp5
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | c2_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp13
        | hskp9
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp20
        | hskp29
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp9
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp27
        | hskp26
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp16
        | hskp22
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp21
        | hskp8
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp9
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | c3_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp27
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c0_1(X63)
              | c3_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c0_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp27
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp15
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp16
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c0_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp19
        | hskp20
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp29
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp8
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp27
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp26
        | hskp29
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp19
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp11
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c2_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp9
        | hskp1
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp8
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | ~ c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp3
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | ~ c0_1(X31)
              | c2_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp28
        | hskp27
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp17
        | hskp18
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp17
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c1_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp13
        | hskp16
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp3
        | hskp15
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp4
        | hskp14
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp13
        | hskp12
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp11
        | hskp10
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp9
        | hskp8
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp7
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp6
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp3
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c3_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp26
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp5
        | hskp4
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | hskp2
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp1
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c0_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | ~ c1_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a1885)
          & c1_1(a1885)
          & c0_1(a1885)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1878)
          & c2_1(a1878)
          & c1_1(a1878)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1877)
          & c2_1(a1877)
          & c0_1(a1877)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a1858)
          & c1_1(a1858)
          & c0_1(a1858)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a1960)
          & c2_1(a1960)
          & c1_1(a1960)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a1919)
          & ~ c1_1(a1919)
          & c3_1(a1919)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1911)
          & ~ c1_1(a1911)
          & c0_1(a1911)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1899)
          & ~ c2_1(a1899)
          & c0_1(a1899)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1898)
          & ~ c0_1(a1898)
          & c3_1(a1898)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a1890)
          & ~ c0_1(a1890)
          & c2_1(a1890)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1884)
          & ~ c1_1(a1884)
          & ~ c0_1(a1884)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a1875)
          & c1_1(a1875)
          & c0_1(a1875)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a1874)
          & c2_1(a1874)
          & c0_1(a1874)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c0_1(a1872)
          & c3_1(a1872)
          & c2_1(a1872)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1870)
          & ~ c0_1(a1870)
          & c1_1(a1870)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1868)
          & c3_1(a1868)
          & c0_1(a1868)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1867)
          & ~ c2_1(a1867)
          & ~ c1_1(a1867)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a1866)
          & ~ c0_1(a1866)
          & c3_1(a1866)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a1865)
          & ~ c2_1(a1865)
          & ~ c0_1(a1865)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a1864)
          & c3_1(a1864)
          & c0_1(a1864)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a1863)
          & ~ c1_1(a1863)
          & c2_1(a1863)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a1862)
          & c1_1(a1862)
          & c0_1(a1862)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a1861)
          & ~ c1_1(a1861)
          & c0_1(a1861)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1860)
          & ~ c0_1(a1860)
          & c1_1(a1860)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1857)
          & ~ c0_1(a1857)
          & c2_1(a1857)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a1856)
          & c3_1(a1856)
          & c2_1(a1856)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1855)
          & ~ c1_1(a1855)
          & ~ c0_1(a1855)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a1854)
          & c2_1(a1854)
          & c1_1(a1854)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a1853)
          & c3_1(a1853)
          & c1_1(a1853)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1852)
          & c3_1(a1852)
          & c1_1(a1852)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1005,plain,
    ( ~ spl0_11
    | spl0_151 ),
    inference(avatar_split_clause,[],[f9,f1002,f283]) ).

fof(f9,plain,
    ( c3_1(a1852)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1000,plain,
    ( ~ spl0_11
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f10,f997,f283]) ).

fof(f10,plain,
    ( ~ c2_1(a1852)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f11,f330,f292]) ).

fof(f292,plain,
    ( spl0_13
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f330,plain,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f994,plain,
    ( ~ spl0_13
    | spl0_149 ),
    inference(avatar_split_clause,[],[f12,f991,f292]) ).

fof(f12,plain,
    ( c1_1(a1853)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f989,plain,
    ( ~ spl0_13
    | spl0_148 ),
    inference(avatar_split_clause,[],[f13,f986,f292]) ).

fof(f13,plain,
    ( c3_1(a1853)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f984,plain,
    ( ~ spl0_13
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f14,f981,f292]) ).

fof(f14,plain,
    ( ~ c0_1(a1853)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f930,plain,
    ( ~ spl0_8
    | spl0_137 ),
    inference(avatar_split_clause,[],[f28,f927,f270]) ).

fof(f270,plain,
    ( spl0_8
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f28,plain,
    ( c2_1(a1857)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f925,plain,
    ( ~ spl0_8
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f29,f922,f270]) ).

fof(f29,plain,
    ( ~ c0_1(a1857)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f920,plain,
    ( ~ spl0_8
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f30,f917,f270]) ).

fof(f30,plain,
    ( ~ c3_1(a1857)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_7
    | spl0_134 ),
    inference(avatar_split_clause,[],[f32,f911,f266]) ).

fof(f266,plain,
    ( spl0_7
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f32,plain,
    ( c1_1(a1860)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_7
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f33,f906,f266]) ).

fof(f33,plain,
    ( ~ c0_1(a1860)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_7
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f34,f901,f266]) ).

fof(f34,plain,
    ( ~ c2_1(a1860)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_16
    | spl0_128 ),
    inference(avatar_split_clause,[],[f40,f879,f307]) ).

fof(f307,plain,
    ( spl0_16
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f40,plain,
    ( c0_1(a1862)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( ~ spl0_16
    | spl0_127 ),
    inference(avatar_split_clause,[],[f41,f874,f307]) ).

fof(f41,plain,
    ( c1_1(a1862)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_16
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f42,f869,f307]) ).

fof(f42,plain,
    ( ~ c2_1(a1862)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_5
    | spl0_125 ),
    inference(avatar_split_clause,[],[f44,f863,f257]) ).

fof(f257,plain,
    ( spl0_5
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f44,plain,
    ( c2_1(a1863)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_5
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f45,f858,f257]) ).

fof(f45,plain,
    ( ~ c1_1(a1863)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_5
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f46,f853,f257]) ).

fof(f46,plain,
    ( ~ c3_1(a1863)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_9
    | spl0_122 ),
    inference(avatar_split_clause,[],[f48,f847,f275]) ).

fof(f275,plain,
    ( spl0_9
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f48,plain,
    ( c0_1(a1864)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_9
    | spl0_121 ),
    inference(avatar_split_clause,[],[f49,f842,f275]) ).

fof(f49,plain,
    ( c3_1(a1864)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    ( ~ spl0_9
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f50,f837,f275]) ).

fof(f50,plain,
    ( ~ c1_1(a1864)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_15
    | spl0_116 ),
    inference(avatar_split_clause,[],[f56,f815,f301]) ).

fof(f301,plain,
    ( spl0_15
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f56,plain,
    ( c3_1(a1866)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_15
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f58,f805,f301]) ).

fof(f58,plain,
    ( ~ c2_1(a1866)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_45
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f60,f799,f432]) ).

fof(f432,plain,
    ( spl0_45
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f60,plain,
    ( ~ c1_1(a1867)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( ~ spl0_45
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f61,f794,f432]) ).

fof(f61,plain,
    ( ~ c2_1(a1867)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_45
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f62,f789,f432]) ).

fof(f62,plain,
    ( ~ c3_1(a1867)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_1
    | spl0_107 ),
    inference(avatar_split_clause,[],[f68,f767,f240]) ).

fof(f240,plain,
    ( spl0_1
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f68,plain,
    ( c1_1(a1870)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_1
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f69,f762,f240]) ).

fof(f69,plain,
    ( ~ c0_1(a1870)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_1
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f70,f757,f240]) ).

fof(f70,plain,
    ( ~ c3_1(a1870)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_18
    | spl0_104 ),
    inference(avatar_split_clause,[],[f72,f751,f316]) ).

fof(f316,plain,
    ( spl0_18
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f72,plain,
    ( c2_1(a1872)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_18
    | spl0_103 ),
    inference(avatar_split_clause,[],[f73,f746,f316]) ).

fof(f73,plain,
    ( c3_1(a1872)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_18
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f74,f741,f316]) ).

fof(f74,plain,
    ( ~ c0_1(a1872)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( ~ spl0_17
    | spl0_101 ),
    inference(avatar_split_clause,[],[f76,f735,f312]) ).

fof(f312,plain,
    ( spl0_17
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f76,plain,
    ( c0_1(a1874)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f733,plain,
    ( ~ spl0_17
    | spl0_100 ),
    inference(avatar_split_clause,[],[f77,f730,f312]) ).

fof(f77,plain,
    ( c2_1(a1874)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_17
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f78,f725,f312]) ).

fof(f78,plain,
    ( ~ c1_1(a1874)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_12
    | spl0_98 ),
    inference(avatar_split_clause,[],[f80,f719,f288]) ).

fof(f288,plain,
    ( spl0_12
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f80,plain,
    ( c0_1(a1875)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_12
    | spl0_97 ),
    inference(avatar_split_clause,[],[f81,f714,f288]) ).

fof(f81,plain,
    ( c1_1(a1875)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( ~ spl0_12
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f82,f709,f288]) ).

fof(f82,plain,
    ( ~ c3_1(a1875)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_33
    | spl0_92 ),
    inference(avatar_split_clause,[],[f88,f687,f380]) ).

fof(f380,plain,
    ( spl0_33
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f88,plain,
    ( c2_1(a1890)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_33
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f89,f682,f380]) ).

fof(f89,plain,
    ( ~ c0_1(a1890)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl0_43
    | spl0_89 ),
    inference(avatar_split_clause,[],[f92,f671,f423]) ).

fof(f423,plain,
    ( spl0_43
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f92,plain,
    ( c3_1(a1898)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_43
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f93,f666,f423]) ).

fof(f93,plain,
    ( ~ c0_1(a1898)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_14
    | spl0_86 ),
    inference(avatar_split_clause,[],[f96,f655,f297]) ).

fof(f297,plain,
    ( spl0_14
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f96,plain,
    ( c0_1(a1899)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl0_14
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f97,f650,f297]) ).

fof(f97,plain,
    ( ~ c2_1(a1899)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( ~ spl0_14
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f98,f645,f297]) ).

fof(f98,plain,
    ( ~ c3_1(a1899)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_39
    | spl0_83 ),
    inference(avatar_split_clause,[],[f100,f639,f406]) ).

fof(f406,plain,
    ( spl0_39
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f100,plain,
    ( c0_1(a1911)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_39
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f101,f634,f406]) ).

fof(f101,plain,
    ( ~ c1_1(a1911)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_39
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f102,f629,f406]) ).

fof(f102,plain,
    ( ~ c3_1(a1911)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl0_6
    | spl0_80 ),
    inference(avatar_split_clause,[],[f104,f623,f261]) ).

fof(f261,plain,
    ( spl0_6
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f104,plain,
    ( c3_1(a1919)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_6
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f105,f618,f261]) ).

fof(f105,plain,
    ( ~ c1_1(a1919)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( ~ spl0_6
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f106,f613,f261]) ).

fof(f106,plain,
    ( ~ c2_1(a1919)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_4
    | spl0_77 ),
    inference(avatar_split_clause,[],[f108,f607,f253]) ).

fof(f253,plain,
    ( spl0_4
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f108,plain,
    ( c1_1(a1960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_4
    | spl0_76 ),
    inference(avatar_split_clause,[],[f109,f602,f253]) ).

fof(f109,plain,
    ( c2_1(a1960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_4
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f110,f597,f253]) ).

fof(f110,plain,
    ( ~ c0_1(a1960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_24
    | spl0_74 ),
    inference(avatar_split_clause,[],[f112,f591,f342]) ).

fof(f342,plain,
    ( spl0_24
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f112,plain,
    ( c0_1(a1858)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( ~ spl0_24
    | spl0_73 ),
    inference(avatar_split_clause,[],[f113,f586,f342]) ).

fof(f113,plain,
    ( c1_1(a1858)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( ~ spl0_24
    | spl0_72 ),
    inference(avatar_split_clause,[],[f114,f581,f342]) ).

fof(f114,plain,
    ( c3_1(a1858)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f579,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f115,f330,f325]) ).

fof(f325,plain,
    ( spl0_20
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f115,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_20
    | spl0_71 ),
    inference(avatar_split_clause,[],[f116,f575,f325]) ).

fof(f116,plain,
    ( c0_1(a1877)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_20
    | spl0_70 ),
    inference(avatar_split_clause,[],[f117,f570,f325]) ).

fof(f117,plain,
    ( c2_1(a1877)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_20
    | spl0_69 ),
    inference(avatar_split_clause,[],[f118,f565,f325]) ).

fof(f118,plain,
    ( c3_1(a1877)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_10
    | spl0_68 ),
    inference(avatar_split_clause,[],[f120,f559,f279]) ).

fof(f279,plain,
    ( spl0_10
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f120,plain,
    ( c1_1(a1878)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f552,plain,
    ( ~ spl0_10
    | spl0_66 ),
    inference(avatar_split_clause,[],[f122,f549,f279]) ).

fof(f122,plain,
    ( c3_1(a1878)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( ~ spl0_19
    | spl0_21 ),
    inference(avatar_split_clause,[],[f123,f330,f321]) ).

fof(f321,plain,
    ( spl0_19
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f123,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( ~ spl0_19
    | spl0_65 ),
    inference(avatar_split_clause,[],[f124,f543,f321]) ).

fof(f124,plain,
    ( c0_1(a1885)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_19
    | spl0_64 ),
    inference(avatar_split_clause,[],[f125,f538,f321]) ).

fof(f125,plain,
    ( c1_1(a1885)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( ~ spl0_19
    | spl0_63 ),
    inference(avatar_split_clause,[],[f126,f533,f321]) ).

fof(f126,plain,
    ( c2_1(a1885)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( spl0_60
    | ~ spl0_21
    | spl0_23
    | spl0_7 ),
    inference(avatar_split_clause,[],[f209,f266,f338,f330,f513]) ).

fof(f209,plain,
    ! [X94,X93] :
      ( hskp6
      | ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ c0_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c1_1(X94)
      | c0_1(X94) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X94,X93] :
      ( hskp6
      | ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ c0_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c1_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_21
    | spl0_59
    | spl0_16
    | spl0_5 ),
    inference(avatar_split_clause,[],[f137,f257,f307,f507,f330]) ).

fof(f137,plain,
    ! [X90] :
      ( hskp9
      | hskp8
      | ~ c2_1(X90)
      | c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( ~ spl0_21
    | spl0_58
    | spl0_18
    | spl0_45 ),
    inference(avatar_split_clause,[],[f142,f432,f316,f501,f330]) ).

fof(f142,plain,
    ! [X85] :
      ( hskp13
      | hskp16
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( spl0_56
    | ~ spl0_21
    | spl0_22
    | spl0_16 ),
    inference(avatar_split_clause,[],[f213,f307,f334,f330,f489]) ).

fof(f213,plain,
    ! [X78,X77] :
      ( hskp8
      | ~ c3_1(X77)
      | ~ c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X78,X77] :
      ( hskp8
      | ~ c3_1(X77)
      | ~ c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_52
    | ~ spl0_21
    | spl0_46
    | spl0_20 ),
    inference(avatar_split_clause,[],[f216,f325,f439,f330,f472]) ).

fof(f216,plain,
    ! [X70,X69] :
      ( hskp27
      | ~ c0_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c3_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X70,X69] :
      ( hskp27
      | ~ c0_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c3_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_51
    | ~ spl0_21
    | spl0_44
    | spl0_16 ),
    inference(avatar_split_clause,[],[f217,f307,f429,f330,f466]) ).

fof(f217,plain,
    ! [X68,X67] :
      ( hskp8
      | ~ c3_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | ~ c1_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X68,X67] :
      ( hskp8
      | ~ c3_1(X67)
      | c2_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | ~ c2_1(X68)
      | ~ c1_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_49
    | spl0_41
    | ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f219,f462,f330,f415,f458]) ).

fof(f219,plain,
    ! [X62,X63,X61] :
      ( ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c3_1(X62)
      | c1_1(X62)
      | ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X62,X63,X61] :
      ( ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | c3_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_48
    | ~ spl0_21
    | spl0_41
    | spl0_20 ),
    inference(avatar_split_clause,[],[f222,f325,f415,f330,f450]) ).

fof(f222,plain,
    ! [X56,X55] :
      ( hskp27
      | ~ c2_1(X55)
      | c3_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | c0_1(X56) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X56,X55] :
      ( hskp27
      | ~ c2_1(X55)
      | c3_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( spl0_48
    | spl0_37
    | ~ spl0_21
    | spl0_26 ),
    inference(avatar_split_clause,[],[f223,f351,f330,f398,f450]) ).

fof(f223,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | ~ c3_1(X54)
      | ~ c2_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X54,X52,X53] :
      ( ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c2_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_48
    | spl0_36
    | ~ spl0_21
    | spl0_31 ),
    inference(avatar_split_clause,[],[f224,f372,f330,f394,f450]) ).

fof(f224,plain,
    ! [X50,X51,X49] :
      ( ~ c1_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c1_1(X50)
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X50,X51,X49] :
      ( ~ c1_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_48
    | ~ spl0_21
    | spl0_34
    | spl0_20 ),
    inference(avatar_split_clause,[],[f225,f325,f385,f330,f450]) ).

fof(f225,plain,
    ! [X48,X47] :
      ( hskp27
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X48,X47] :
      ( hskp27
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( spl0_47
    | ~ spl0_21
    | spl0_31
    | spl0_5 ),
    inference(avatar_split_clause,[],[f227,f257,f372,f330,f443]) ).

fof(f227,plain,
    ! [X42,X43] :
      ( hskp9
      | ~ c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | c3_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X42,X43] :
      ( hskp9
      | ~ c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | c3_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( ~ spl0_21
    | spl0_47
    | spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f166,f316,f297,f443,f330]) ).

fof(f166,plain,
    ! [X40] :
      ( hskp16
      | hskp22
      | c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( ~ spl0_21
    | spl0_46
    | spl0_24
    | spl0_20 ),
    inference(avatar_split_clause,[],[f167,f325,f342,f439,f330]) ).

fof(f167,plain,
    ! [X39] :
      ( hskp27
      | hskp26
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( spl0_44
    | ~ spl0_21
    | spl0_35
    | spl0_5 ),
    inference(avatar_split_clause,[],[f228,f257,f389,f330,f429]) ).

fof(f228,plain,
    ! [X38,X37] :
      ( hskp9
      | ~ c0_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X38,X37] :
      ( hskp9
      | ~ c0_1(X37)
      | c3_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c2_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( ~ spl0_21
    | spl0_44
    | spl0_5
    | spl0_45 ),
    inference(avatar_split_clause,[],[f170,f432,f257,f429,f330]) ).

fof(f170,plain,
    ! [X35] :
      ( hskp13
      | hskp9
      | ~ c3_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( spl0_42
    | ~ spl0_21
    | spl0_26
    | spl0_8 ),
    inference(avatar_split_clause,[],[f229,f270,f351,f330,f420]) ).

fof(f229,plain,
    ! [X34,X33] :
      ( hskp5
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X34,X33] :
      ( hskp5
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f426,plain,
    ( spl0_42
    | ~ spl0_21
    | spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f230,f423,f338,f330,f420]) ).

fof(f230,plain,
    ! [X31,X32] :
      ( hskp21
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X31,X32] :
      ( hskp21
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( spl0_41
    | spl0_36
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f231,f338,f330,f394,f415]) ).

fof(f231,plain,
    ! [X28,X29,X30] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c2_1(X29)
      | c1_1(X29)
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X28,X29,X30] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_21
    | spl0_41
    | spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f174,f406,f307,f415,f330]) ).

fof(f174,plain,
    ! [X27] :
      ( hskp23
      | hskp8
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( ~ spl0_21
    | spl0_40
    | spl0_16
    | spl0_12 ),
    inference(avatar_split_clause,[],[f175,f288,f307,f411,f330]) ).

fof(f175,plain,
    ! [X26] :
      ( hskp18
      | hskp8
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f392,plain,
    ( spl0_35
    | spl0_26
    | ~ spl0_21
    | spl0_32 ),
    inference(avatar_split_clause,[],[f233,f377,f330,f351,f389]) ).

fof(f233,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c1_1(X20)
      | c2_1(X20)
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( spl0_35
    | ~ spl0_21
    | spl0_22
    | spl0_6 ),
    inference(avatar_split_clause,[],[f234,f261,f334,f330,f389]) ).

fof(f234,plain,
    ! [X18,X17] :
      ( hskp24
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X18,X17] :
      ( hskp24
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( spl0_31
    | spl0_29
    | ~ spl0_21
    | spl0_34 ),
    inference(avatar_split_clause,[],[f235,f385,f330,f364,f372]) ).

fof(f235,plain,
    ! [X16,X14,X15] :
      ( ~ c1_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c2_1(X15)
      | ~ c1_1(X16)
      | c3_1(X16)
      | c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X16,X14,X15] :
      ( ~ c1_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c2_1(X15)
      | ~ ndr1_0
      | ~ c1_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( spl0_31
    | ~ spl0_21
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f236,f380,f377,f330,f372]) ).

fof(f236,plain,
    ! [X12,X13] :
      ( hskp20
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | c3_1(X13)
      | c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X12,X13] :
      ( hskp20
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( spl0_29
    | ~ spl0_21
    | spl0_30
    | spl0_9 ),
    inference(avatar_split_clause,[],[f237,f275,f368,f330,f364]) ).

fof(f237,plain,
    ! [X8,X9] :
      ( hskp10
      | ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f185,plain,
    ! [X8,X9] :
      ( hskp10
      | ~ c3_1(X8)
      | ~ c2_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( ~ spl0_21
    | spl0_29
    | spl0_24
    | spl0_9 ),
    inference(avatar_split_clause,[],[f186,f275,f342,f364,f330]) ).

fof(f186,plain,
    ! [X7] :
      ( hskp10
      | hskp26
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f362,plain,
    ( ~ spl0_21
    | spl0_28
    | spl0_20
    | spl0_14 ),
    inference(avatar_split_clause,[],[f187,f297,f325,f360,f330]) ).

fof(f187,plain,
    ! [X6] :
      ( hskp22
      | hskp27
      | ~ c3_1(X6)
      | ~ c0_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f358,plain,
    ( spl0_26
    | ~ spl0_21
    | spl0_22
    | spl0_18 ),
    inference(avatar_split_clause,[],[f238,f316,f334,f330,f351]) ).

fof(f238,plain,
    ! [X4,X5] :
      ( hskp16
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | c2_1(X5) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X4,X5] :
      ( hskp16
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f191,f261,f283,f338,f330]) ).

fof(f191,plain,
    ! [X1] :
      ( hskp24
      | hskp0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f336,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f192,f283,f279,f334,f330]) ).

fof(f192,plain,
    ! [X0] :
      ( hskp0
      | hskp28
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f328,plain,
    ( spl0_19
    | spl0_20
    | spl0_13 ),
    inference(avatar_split_clause,[],[f193,f292,f325,f321]) ).

fof(f193,plain,
    ( hskp1
    | hskp27
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f319,plain,
    ( spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f194,f316,f312,f307]) ).

fof(f194,plain,
    ( hskp16
    | hskp17
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f310,plain,
    ( spl0_16
    | spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f261,f275,f307]) ).

fof(f195,plain,
    ( hskp24
    | hskp10
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f305,plain,
    ( spl0_12
    | spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f196,f240,f275,f288]) ).

fof(f196,plain,
    ( hskp15
    | hskp10
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f304,plain,
    ( spl0_12
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f197,f301,f297,f288]) ).

fof(f197,plain,
    ( hskp12
    | hskp22
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f273,plain,
    ( spl0_4
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f200,f270,f266,f253]) ).

fof(f200,plain,
    ( hskp5
    | hskp6
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f264,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f201,f261,f257,f253]) ).

fof(f201,plain,
    ( hskp24
    | hskp9
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SYN483+1 : TPTP v8.1.2. Released v2.1.0.
% 0.02/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n016.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 17:20:38 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.31  % (10020)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (10025)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32  % (10022)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  % (10021)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32  % (10027)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32  % (10026)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32  % (10023)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.32  % (10024)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [30]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [30]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [3]
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [30]
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [30]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [3]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [2]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [4]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [4]
% 0.15/0.34  TRYING [4]
% 0.15/0.34  TRYING [4]
% 0.15/0.35  TRYING [5]
% 0.15/0.35  TRYING [5]
% 0.15/0.35  TRYING [5]
% 0.15/0.35  % (10026)First to succeed.
% 0.15/0.36  TRYING [5]
% 0.15/0.36  % (10026)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10020"
% 0.15/0.36  % (10026)Refutation found. Thanks to Tanya!
% 0.15/0.36  % SZS status Theorem for theBenchmark
% 0.15/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (10026)------------------------------
% 0.15/0.37  % (10026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (10026)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (10026)Memory used [KB]: 1800
% 0.15/0.37  % (10026)Time elapsed: 0.041 s
% 0.15/0.37  % (10026)Instructions burned: 81 (million)
% 0.15/0.37  % (10020)Success in time 0.06 s
%------------------------------------------------------------------------------