TSTP Solution File: SYN505+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN505+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:27:23 EDT 2022

% Result   : Theorem 1.95s 0.65s
% Output   : Refutation 1.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  151
% Syntax   : Number of formulae    :  664 (   1 unt;   0 def)
%            Number of atoms       : 7455 (   0 equ)
%            Maximal formula atoms :  749 (  11 avg)
%            Number of connectives : 10104 (3313   ~;4724   |;1449   &)
%                                         ( 150 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  121 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  188 ( 187 usr; 184 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  998 ( 998   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2638,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f271,f294,f303,f337,f346,f356,f365,f370,f378,f388,f399,f411,f425,f442,f455,f461,f471,f475,f484,f497,f498,f503,f514,f528,f538,f543,f549,f554,f559,f564,f573,f578,f583,f598,f604,f608,f613,f618,f623,f624,f630,f643,f650,f667,f676,f681,f688,f693,f698,f699,f712,f717,f726,f731,f740,f746,f751,f756,f762,f763,f764,f769,f774,f780,f781,f786,f797,f802,f803,f813,f818,f823,f824,f838,f839,f845,f850,f858,f864,f873,f874,f875,f881,f882,f883,f893,f898,f903,f912,f915,f920,f935,f945,f950,f955,f957,f958,f968,f973,f976,f978,f979,f985,f992,f998,f1009,f1015,f1023,f1024,f1025,f1030,f1031,f1037,f1038,f1044,f1049,f1051,f1066,f1067,f1073,f1092,f1153,f1208,f1224,f1235,f1270,f1282,f1404,f1436,f1449,f1453,f1486,f1507,f1519,f1559,f1566,f1567,f1577,f1606,f1694,f1700,f1705,f1717,f1838,f1865,f1912,f1919,f1924,f1959,f1965,f1977,f1979,f1993,f2013,f2032,f2033,f2069,f2114,f2141,f2147,f2178,f2187,f2199,f2245,f2246,f2248,f2249,f2251,f2253,f2283,f2289,f2292,f2300,f2318,f2329,f2333,f2386,f2387,f2388,f2411,f2415,f2416,f2451,f2482,f2486,f2487,f2490,f2515,f2522,f2547,f2553,f2572,f2579,f2594,f2599,f2600,f2615,f2619,f2632,f2634,f2636]) ).

fof(f2636,plain,
    ( spl0_21
    | ~ spl0_191
    | ~ spl0_87
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2623,f982,f641,f2315,f343]) ).

fof(f343,plain,
    ( spl0_21
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2315,plain,
    ( spl0_191
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f641,plain,
    ( spl0_87
  <=> ! [X22] :
        ( ~ c1_1(X22)
        | c2_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f982,plain,
    ( spl0_147
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2623,plain,
    ( ~ c0_1(a500)
    | c2_1(a500)
    | ~ spl0_87
    | ~ spl0_147 ),
    inference(resolution,[],[f642,f984]) ).

fof(f984,plain,
    ( c1_1(a500)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f642,plain,
    ( ! [X22] :
        ( ~ c1_1(X22)
        | ~ c0_1(X22)
        | c2_1(X22) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f2634,plain,
    ( ~ spl0_4
    | spl0_23
    | ~ spl0_87
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2620,f1106,f641,f353,f268]) ).

fof(f268,plain,
    ( spl0_4
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f353,plain,
    ( spl0_23
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1106,plain,
    ( spl0_166
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2620,plain,
    ( c2_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_87
    | ~ spl0_166 ),
    inference(resolution,[],[f642,f1108]) ).

fof(f1108,plain,
    ( c1_1(a471)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f2632,plain,
    ( spl0_167
    | ~ spl0_53
    | ~ spl0_87
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2627,f855,f641,f481,f1112]) ).

fof(f1112,plain,
    ( spl0_167
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f481,plain,
    ( spl0_53
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f855,plain,
    ( spl0_126
  <=> c1_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2627,plain,
    ( ~ c0_1(a559)
    | c2_1(a559)
    | ~ spl0_87
    | ~ spl0_126 ),
    inference(resolution,[],[f642,f857]) ).

fof(f857,plain,
    ( c1_1(a559)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f2619,plain,
    ( ~ spl0_53
    | spl0_160
    | ~ spl0_76
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2609,f855,f588,f1063,f481]) ).

fof(f1063,plain,
    ( spl0_160
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f588,plain,
    ( spl0_76
  <=> ! [X64] :
        ( ~ c1_1(X64)
        | c3_1(X64)
        | ~ c0_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2609,plain,
    ( c3_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_76
    | ~ spl0_126 ),
    inference(resolution,[],[f589,f857]) ).

fof(f589,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | c3_1(X64)
        | ~ c0_1(X64) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f2615,plain,
    ( ~ spl0_191
    | spl0_109
    | ~ spl0_76
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2605,f982,f588,f753,f2315]) ).

fof(f753,plain,
    ( spl0_109
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2605,plain,
    ( c3_1(a500)
    | ~ c0_1(a500)
    | ~ spl0_76
    | ~ spl0_147 ),
    inference(resolution,[],[f589,f984]) ).

fof(f2600,plain,
    ( spl0_132
    | spl0_170
    | ~ spl0_62
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2583,f799,f520,f1181,f895]) ).

fof(f895,plain,
    ( spl0_132
  <=> c0_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1181,plain,
    ( spl0_170
  <=> c2_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f520,plain,
    ( spl0_62
  <=> ! [X75] :
        ( ~ c1_1(X75)
        | c0_1(X75)
        | c2_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f799,plain,
    ( spl0_117
  <=> c1_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2583,plain,
    ( c2_1(a481)
    | c0_1(a481)
    | ~ spl0_62
    | ~ spl0_117 ),
    inference(resolution,[],[f521,f801]) ).

fof(f801,plain,
    ( c1_1(a481)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f521,plain,
    ( ! [X75] :
        ( ~ c1_1(X75)
        | c2_1(X75)
        | c0_1(X75) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f2599,plain,
    ( spl0_191
    | spl0_21
    | ~ spl0_62
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2585,f982,f520,f343,f2315]) ).

fof(f2585,plain,
    ( c2_1(a500)
    | c0_1(a500)
    | ~ spl0_62
    | ~ spl0_147 ),
    inference(resolution,[],[f521,f984]) ).

fof(f2594,plain,
    ( spl0_167
    | spl0_53
    | ~ spl0_62
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2590,f855,f520,f481,f1112]) ).

fof(f2590,plain,
    ( c0_1(a559)
    | c2_1(a559)
    | ~ spl0_62
    | ~ spl0_126 ),
    inference(resolution,[],[f521,f857]) ).

fof(f2579,plain,
    ( spl0_160
    | spl0_167
    | ~ spl0_54
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2570,f855,f486,f1112,f1063]) ).

fof(f486,plain,
    ( spl0_54
  <=> ! [X60] :
        ( c2_1(X60)
        | c3_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2570,plain,
    ( c2_1(a559)
    | c3_1(a559)
    | ~ spl0_54
    | ~ spl0_126 ),
    inference(resolution,[],[f487,f857]) ).

fof(f487,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c2_1(X60)
        | c3_1(X60) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f2572,plain,
    ( spl0_109
    | spl0_21
    | ~ spl0_54
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2565,f982,f486,f343,f753]) ).

fof(f2565,plain,
    ( c2_1(a500)
    | c3_1(a500)
    | ~ spl0_54
    | ~ spl0_147 ),
    inference(resolution,[],[f487,f984]) ).

fof(f2553,plain,
    ( ~ spl0_79
    | ~ spl0_187
    | ~ spl0_51
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2546,f777,f473,f1984,f601]) ).

fof(f601,plain,
    ( spl0_79
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1984,plain,
    ( spl0_187
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f473,plain,
    ( spl0_51
  <=> ! [X112] :
        ( ~ c0_1(X112)
        | ~ c1_1(X112)
        | ~ c2_1(X112) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f777,plain,
    ( spl0_113
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2546,plain,
    ( ~ c0_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_51
    | ~ spl0_113 ),
    inference(resolution,[],[f474,f779]) ).

fof(f779,plain,
    ( c1_1(a488)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f474,plain,
    ( ! [X112] :
        ( ~ c1_1(X112)
        | ~ c2_1(X112)
        | ~ c0_1(X112) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f2547,plain,
    ( ~ spl0_53
    | ~ spl0_167
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2545,f855,f473,f1112,f481]) ).

fof(f2545,plain,
    ( ~ c2_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(resolution,[],[f474,f857]) ).

fof(f2522,plain,
    ( ~ spl0_113
    | spl0_187
    | ~ spl0_50
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2513,f748,f469,f1984,f777]) ).

fof(f469,plain,
    ( spl0_50
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | ~ c1_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f748,plain,
    ( spl0_108
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2513,plain,
    ( c0_1(a488)
    | ~ c1_1(a488)
    | ~ spl0_50
    | ~ spl0_108 ),
    inference(resolution,[],[f470,f750]) ).

fof(f750,plain,
    ( c3_1(a488)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f470,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c1_1(X43) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f2515,plain,
    ( ~ spl0_176
    | spl0_143
    | ~ spl0_50
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2508,f1006,f469,f952,f1330]) ).

fof(f1330,plain,
    ( spl0_176
  <=> c1_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f952,plain,
    ( spl0_143
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1006,plain,
    ( spl0_151
  <=> c3_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2508,plain,
    ( c0_1(a493)
    | ~ c1_1(a493)
    | ~ spl0_50
    | ~ spl0_151 ),
    inference(resolution,[],[f470,f1008]) ).

fof(f1008,plain,
    ( c3_1(a493)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f2490,plain,
    ( spl0_53
    | spl0_167
    | ~ spl0_80
    | spl0_160 ),
    inference(avatar_split_clause,[],[f2489,f1063,f606,f1112,f481]) ).

fof(f606,plain,
    ( spl0_80
  <=> ! [X96] :
        ( c0_1(X96)
        | c2_1(X96)
        | c3_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2489,plain,
    ( c2_1(a559)
    | c0_1(a559)
    | ~ spl0_80
    | spl0_160 ),
    inference(resolution,[],[f1065,f607]) ).

fof(f607,plain,
    ( ! [X96] :
        ( c3_1(X96)
        | c0_1(X96)
        | c2_1(X96) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f1065,plain,
    ( ~ c3_1(a559)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f2487,plain,
    ( spl0_95
    | spl0_100
    | ~ spl0_27
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2485,f1046,f372,f709,f678]) ).

fof(f678,plain,
    ( spl0_95
  <=> c1_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f709,plain,
    ( spl0_100
  <=> c2_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f372,plain,
    ( spl0_27
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1046,plain,
    ( spl0_157
  <=> c0_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2485,plain,
    ( c2_1(a487)
    | c1_1(a487)
    | ~ spl0_27
    | ~ spl0_157 ),
    inference(resolution,[],[f1048,f373]) ).

fof(f373,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c2_1(X31) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1048,plain,
    ( c0_1(a487)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f2486,plain,
    ( spl0_181
    | spl0_100
    | ~ spl0_59
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2484,f1046,f509,f709,f1415]) ).

fof(f1415,plain,
    ( spl0_181
  <=> c3_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f509,plain,
    ( spl0_59
  <=> ! [X37] :
        ( c3_1(X37)
        | c2_1(X37)
        | ~ c0_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2484,plain,
    ( c2_1(a487)
    | c3_1(a487)
    | ~ spl0_59
    | ~ spl0_157 ),
    inference(resolution,[],[f1048,f510]) ).

fof(f510,plain,
    ( ! [X37] :
        ( ~ c0_1(X37)
        | c2_1(X37)
        | c3_1(X37) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f2482,plain,
    ( spl0_132
    | spl0_170
    | ~ spl0_80
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2481,f917,f606,f1181,f895]) ).

fof(f917,plain,
    ( spl0_136
  <=> c3_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2481,plain,
    ( c2_1(a481)
    | c0_1(a481)
    | ~ spl0_80
    | spl0_136 ),
    inference(resolution,[],[f919,f607]) ).

fof(f919,plain,
    ( ~ c3_1(a481)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f2451,plain,
    ( ~ spl0_123
    | spl0_69
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2433,f947,f453,f556,f835]) ).

fof(f835,plain,
    ( spl0_123
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f556,plain,
    ( spl0_69
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f453,plain,
    ( spl0_46
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | c2_1(X69)
        | ~ c3_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f947,plain,
    ( spl0_142
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2433,plain,
    ( c2_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(resolution,[],[f454,f949]) ).

fof(f949,plain,
    ( c3_1(a472)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f454,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | ~ c1_1(X69)
        | c2_1(X69) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f2416,plain,
    ( spl0_179
    | spl0_114
    | ~ spl0_43
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2395,f714,f440,f783,f1382]) ).

fof(f1382,plain,
    ( spl0_179
  <=> c1_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f783,plain,
    ( spl0_114
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f440,plain,
    ( spl0_43
  <=> ! [X8] :
        ( c1_1(X8)
        | ~ c2_1(X8)
        | c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f714,plain,
    ( spl0_101
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2395,plain,
    ( c3_1(a478)
    | c1_1(a478)
    | ~ spl0_43
    | ~ spl0_101 ),
    inference(resolution,[],[f441,f716]) ).

fof(f716,plain,
    ( c2_1(a478)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f441,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | c1_1(X8)
        | c3_1(X8) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f2415,plain,
    ( spl0_131
    | spl0_30
    | ~ spl0_43
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2391,f1376,f440,f385,f890]) ).

fof(f890,plain,
    ( spl0_131
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f385,plain,
    ( spl0_30
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1376,plain,
    ( spl0_178
  <=> c2_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2391,plain,
    ( c1_1(a466)
    | c3_1(a466)
    | ~ spl0_43
    | ~ spl0_178 ),
    inference(resolution,[],[f441,f1378]) ).

fof(f1378,plain,
    ( c2_1(a466)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f2411,plain,
    ( spl0_141
    | spl0_96
    | ~ spl0_43
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2390,f566,f440,f685,f942]) ).

fof(f942,plain,
    ( spl0_141
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f685,plain,
    ( spl0_96
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f566,plain,
    ( spl0_71
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2390,plain,
    ( c3_1(a463)
    | c1_1(a463)
    | ~ spl0_43
    | ~ spl0_71 ),
    inference(resolution,[],[f441,f568]) ).

fof(f568,plain,
    ( c2_1(a463)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f2388,plain,
    ( ~ spl0_126
    | ~ spl0_167
    | ~ spl0_32
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2385,f1063,f394,f1112,f855]) ).

fof(f394,plain,
    ( spl0_32
  <=> ! [X98] :
        ( ~ c3_1(X98)
        | ~ c1_1(X98)
        | ~ c2_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2385,plain,
    ( ~ c2_1(a559)
    | ~ c1_1(a559)
    | ~ spl0_32
    | ~ spl0_160 ),
    inference(resolution,[],[f1064,f395]) ).

fof(f395,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | ~ c2_1(X98)
        | ~ c1_1(X98) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f1064,plain,
    ( c3_1(a559)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f2387,plain,
    ( ~ spl0_53
    | spl0_167
    | ~ spl0_34
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2384,f1063,f402,f1112,f481]) ).

fof(f402,plain,
    ( spl0_34
  <=> ! [X52] :
        ( ~ c3_1(X52)
        | c2_1(X52)
        | ~ c0_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2384,plain,
    ( c2_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_34
    | ~ spl0_160 ),
    inference(resolution,[],[f1064,f403]) ).

fof(f403,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | ~ c0_1(X52)
        | c2_1(X52) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f2386,plain,
    ( ~ spl0_53
    | ~ spl0_126
    | ~ spl0_89
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2383,f1063,f652,f855,f481]) ).

fof(f652,plain,
    ( spl0_89
  <=> ! [X55] :
        ( ~ c1_1(X55)
        | ~ c3_1(X55)
        | ~ c0_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2383,plain,
    ( ~ c1_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_89
    | ~ spl0_160 ),
    inference(resolution,[],[f1064,f653]) ).

fof(f653,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | ~ c1_1(X55)
        | ~ c0_1(X55) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f2333,plain,
    ( spl0_161
    | ~ spl0_106
    | ~ spl0_87
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2331,f842,f641,f737,f1070]) ).

fof(f1070,plain,
    ( spl0_161
  <=> c2_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f737,plain,
    ( spl0_106
  <=> c0_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f842,plain,
    ( spl0_124
  <=> c1_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2331,plain,
    ( ~ c0_1(a525)
    | c2_1(a525)
    | ~ spl0_87
    | ~ spl0_124 ),
    inference(resolution,[],[f844,f642]) ).

fof(f844,plain,
    ( c1_1(a525)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f2329,plain,
    ( spl0_182
    | spl0_47
    | ~ spl0_27
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2328,f820,f372,f458,f1425]) ).

fof(f1425,plain,
    ( spl0_182
  <=> c2_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f458,plain,
    ( spl0_47
  <=> c1_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f820,plain,
    ( spl0_121
  <=> c0_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2328,plain,
    ( c1_1(a479)
    | c2_1(a479)
    | ~ spl0_27
    | ~ spl0_121 ),
    inference(resolution,[],[f822,f373]) ).

fof(f822,plain,
    ( c0_1(a479)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f2318,plain,
    ( spl0_21
    | spl0_191
    | ~ spl0_80
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2312,f753,f606,f2315,f343]) ).

fof(f2312,plain,
    ( c0_1(a500)
    | c2_1(a500)
    | ~ spl0_80
    | spl0_109 ),
    inference(resolution,[],[f755,f607]) ).

fof(f755,plain,
    ( ~ c3_1(a500)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f2300,plain,
    ( spl0_23
    | spl0_166
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2298,f372,f268,f1106,f353]) ).

fof(f2298,plain,
    ( c1_1(a471)
    | c2_1(a471)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(resolution,[],[f270,f373]) ).

fof(f270,plain,
    ( c0_1(a471)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f2292,plain,
    ( spl0_135
    | spl0_114
    | ~ spl0_101
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2265,f905,f714,f783,f909]) ).

fof(f909,plain,
    ( spl0_135
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f905,plain,
    ( spl0_134
  <=> ! [X114] :
        ( c0_1(X114)
        | ~ c2_1(X114)
        | c3_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2265,plain,
    ( c3_1(a478)
    | c0_1(a478)
    | ~ spl0_101
    | ~ spl0_134 ),
    inference(resolution,[],[f906,f716]) ).

fof(f906,plain,
    ( ! [X114] :
        ( ~ c2_1(X114)
        | c0_1(X114)
        | c3_1(X114) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f2289,plain,
    ( spl0_53
    | spl0_160
    | ~ spl0_134
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2274,f1112,f905,f1063,f481]) ).

fof(f2274,plain,
    ( c3_1(a559)
    | c0_1(a559)
    | ~ spl0_134
    | ~ spl0_167 ),
    inference(resolution,[],[f906,f1114]) ).

fof(f1114,plain,
    ( c2_1(a559)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f2283,plain,
    ( spl0_127
    | spl0_131
    | ~ spl0_134
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2261,f1376,f905,f890,f861]) ).

fof(f861,plain,
    ( spl0_127
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2261,plain,
    ( c3_1(a466)
    | c0_1(a466)
    | ~ spl0_134
    | ~ spl0_178 ),
    inference(resolution,[],[f906,f1378]) ).

fof(f2253,plain,
    ( ~ spl0_101
    | spl0_135
    | ~ spl0_103
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2231,f1382,f724,f909,f714]) ).

fof(f724,plain,
    ( spl0_103
  <=> ! [X66] :
        ( ~ c2_1(X66)
        | ~ c1_1(X66)
        | c0_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2231,plain,
    ( c0_1(a478)
    | ~ c2_1(a478)
    | ~ spl0_103
    | ~ spl0_179 ),
    inference(resolution,[],[f725,f1384]) ).

fof(f1384,plain,
    ( c1_1(a478)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f725,plain,
    ( ! [X66] :
        ( ~ c1_1(X66)
        | c0_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f2251,plain,
    ( ~ spl0_170
    | spl0_132
    | ~ spl0_103
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2232,f799,f724,f895,f1181]) ).

fof(f2232,plain,
    ( c0_1(a481)
    | ~ c2_1(a481)
    | ~ spl0_103
    | ~ spl0_117 ),
    inference(resolution,[],[f725,f801]) ).

fof(f2249,plain,
    ( ~ spl0_116
    | spl0_146
    | ~ spl0_8
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2233,f724,f287,f970,f794]) ).

fof(f794,plain,
    ( spl0_116
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f970,plain,
    ( spl0_146
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f287,plain,
    ( spl0_8
  <=> c1_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2233,plain,
    ( c0_1(a483)
    | ~ c2_1(a483)
    | ~ spl0_8
    | ~ spl0_103 ),
    inference(resolution,[],[f725,f289]) ).

fof(f289,plain,
    ( c1_1(a483)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f2248,plain,
    ( spl0_187
    | ~ spl0_79
    | ~ spl0_103
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2242,f777,f724,f601,f1984]) ).

fof(f2242,plain,
    ( ~ c2_1(a488)
    | c0_1(a488)
    | ~ spl0_103
    | ~ spl0_113 ),
    inference(resolution,[],[f725,f779]) ).

fof(f2246,plain,
    ( ~ spl0_68
    | spl0_143
    | ~ spl0_103
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2236,f1330,f724,f952,f551]) ).

fof(f551,plain,
    ( spl0_68
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2236,plain,
    ( c0_1(a493)
    | ~ c2_1(a493)
    | ~ spl0_103
    | ~ spl0_176 ),
    inference(resolution,[],[f725,f1331]) ).

fof(f1331,plain,
    ( c1_1(a493)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1330]) ).

fof(f2245,plain,
    ( ~ spl0_167
    | spl0_53
    | ~ spl0_103
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2240,f855,f724,f481,f1112]) ).

fof(f2240,plain,
    ( c0_1(a559)
    | ~ c2_1(a559)
    | ~ spl0_103
    | ~ spl0_126 ),
    inference(resolution,[],[f725,f857]) ).

fof(f2199,plain,
    ( spl0_125
    | ~ spl0_97
    | ~ spl0_91
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2158,f1156,f659,f690,f847]) ).

fof(f847,plain,
    ( spl0_125
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f690,plain,
    ( spl0_97
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f659,plain,
    ( spl0_91
  <=> ! [X14] :
        ( c3_1(X14)
        | ~ c0_1(X14)
        | ~ c2_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1156,plain,
    ( spl0_169
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2158,plain,
    ( ~ c0_1(a467)
    | c3_1(a467)
    | ~ spl0_91
    | ~ spl0_169 ),
    inference(resolution,[],[f660,f1158]) ).

fof(f1158,plain,
    ( c2_1(a467)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1156]) ).

fof(f660,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | ~ c0_1(X14)
        | c3_1(X14) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f2187,plain,
    ( spl0_65
    | ~ spl0_92
    | ~ spl0_25
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2165,f659,f362,f664,f535]) ).

fof(f535,plain,
    ( spl0_65
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f664,plain,
    ( spl0_92
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f362,plain,
    ( spl0_25
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2165,plain,
    ( ~ c0_1(a484)
    | c3_1(a484)
    | ~ spl0_25
    | ~ spl0_91 ),
    inference(resolution,[],[f660,f364]) ).

fof(f364,plain,
    ( c2_1(a484)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f2178,plain,
    ( spl0_160
    | ~ spl0_53
    | ~ spl0_91
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2170,f1112,f659,f481,f1063]) ).

fof(f2170,plain,
    ( ~ c0_1(a559)
    | c3_1(a559)
    | ~ spl0_91
    | ~ spl0_167 ),
    inference(resolution,[],[f660,f1114]) ).

fof(f2147,plain,
    ( spl0_27
    | ~ spl0_48
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2137,f591,f463,f372]) ).

fof(f463,plain,
    ( spl0_48
  <=> ! [X42] :
        ( ~ c3_1(X42)
        | c1_1(X42)
        | ~ c0_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f591,plain,
    ( spl0_77
  <=> ! [X65] :
        ( c2_1(X65)
        | c3_1(X65)
        | c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2137,plain,
    ( ! [X3] :
        ( c1_1(X3)
        | ~ c0_1(X3)
        | c2_1(X3) )
    | ~ spl0_48
    | ~ spl0_77 ),
    inference(duplicate_literal_removal,[],[f2121]) ).

fof(f2121,plain,
    ( ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | ~ c0_1(X3)
        | c1_1(X3) )
    | ~ spl0_48
    | ~ spl0_77 ),
    inference(resolution,[],[f592,f464]) ).

fof(f464,plain,
    ( ! [X42] :
        ( ~ c3_1(X42)
        | c1_1(X42)
        | ~ c0_1(X42) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f592,plain,
    ( ! [X65] :
        ( c3_1(X65)
        | c1_1(X65)
        | c2_1(X65) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f2141,plain,
    ( spl0_27
    | ~ spl0_34
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2138,f591,f402,f372]) ).

fof(f2138,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_34
    | ~ spl0_77 ),
    inference(duplicate_literal_removal,[],[f2119]) ).

fof(f2119,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1)
        | c2_1(X1) )
    | ~ spl0_34
    | ~ spl0_77 ),
    inference(resolution,[],[f592,f403]) ).

fof(f2114,plain,
    ( spl0_125
    | spl0_56
    | ~ spl0_90
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2104,f690,f655,f494,f847]) ).

fof(f494,plain,
    ( spl0_56
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f655,plain,
    ( spl0_90
  <=> ! [X54] :
        ( c3_1(X54)
        | c1_1(X54)
        | ~ c0_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2104,plain,
    ( c1_1(a467)
    | c3_1(a467)
    | ~ spl0_90
    | ~ spl0_97 ),
    inference(resolution,[],[f656,f692]) ).

fof(f692,plain,
    ( c0_1(a467)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f656,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54)
        | c3_1(X54) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f2069,plain,
    ( spl0_164
    | ~ spl0_78
    | ~ spl0_87
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2064,f673,f641,f595,f1089]) ).

fof(f1089,plain,
    ( spl0_164
  <=> c2_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f595,plain,
    ( spl0_78
  <=> c0_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f673,plain,
    ( spl0_94
  <=> c1_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2064,plain,
    ( ~ c0_1(a529)
    | c2_1(a529)
    | ~ spl0_87
    | ~ spl0_94 ),
    inference(resolution,[],[f642,f675]) ).

fof(f675,plain,
    ( c1_1(a529)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f2033,plain,
    ( spl0_100
    | ~ spl0_157
    | ~ spl0_34
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2020,f1415,f402,f1046,f709]) ).

fof(f2020,plain,
    ( ~ c0_1(a487)
    | c2_1(a487)
    | ~ spl0_34
    | ~ spl0_181 ),
    inference(resolution,[],[f403,f1417]) ).

fof(f1417,plain,
    ( c3_1(a487)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f2032,plain,
    ( spl0_69
    | ~ spl0_175
    | ~ spl0_34
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2018,f947,f402,f1278,f556]) ).

fof(f1278,plain,
    ( spl0_175
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f2018,plain,
    ( ~ c0_1(a472)
    | c2_1(a472)
    | ~ spl0_34
    | ~ spl0_142 ),
    inference(resolution,[],[f403,f949]) ).

fof(f2013,plain,
    ( ~ spl0_121
    | spl0_47
    | ~ spl0_36
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2012,f1425,f409,f458,f820]) ).

fof(f409,plain,
    ( spl0_36
  <=> ! [X51] :
        ( ~ c2_1(X51)
        | ~ c0_1(X51)
        | c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2012,plain,
    ( c1_1(a479)
    | ~ c0_1(a479)
    | ~ spl0_36
    | ~ spl0_182 ),
    inference(resolution,[],[f1427,f410]) ).

fof(f410,plain,
    ( ! [X51] :
        ( ~ c2_1(X51)
        | c1_1(X51)
        | ~ c0_1(X51) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f1427,plain,
    ( c2_1(a479)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1425]) ).

fof(f1993,plain,
    ( ~ spl0_79
    | ~ spl0_113
    | ~ spl0_32
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1990,f748,f394,f777,f601]) ).

fof(f1990,plain,
    ( ~ c1_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_32
    | ~ spl0_108 ),
    inference(resolution,[],[f750,f395]) ).

fof(f1979,plain,
    ( ~ spl0_162
    | spl0_98
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1975,f546,f463,f695,f1079]) ).

fof(f1079,plain,
    ( spl0_162
  <=> c0_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f695,plain,
    ( spl0_98
  <=> c1_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f546,plain,
    ( spl0_67
  <=> c3_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1975,plain,
    ( c1_1(a477)
    | ~ c0_1(a477)
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(resolution,[],[f548,f464]) ).

fof(f548,plain,
    ( c3_1(a477)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f1977,plain,
    ( ~ spl0_84
    | spl0_162
    | ~ spl0_67
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1974,f585,f546,f1079,f627]) ).

fof(f627,plain,
    ( spl0_84
  <=> c2_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f585,plain,
    ( spl0_75
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c2_1(X63)
        | ~ c3_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1974,plain,
    ( c0_1(a477)
    | ~ c2_1(a477)
    | ~ spl0_67
    | ~ spl0_75 ),
    inference(resolution,[],[f548,f586]) ).

fof(f586,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1965,plain,
    ( ~ spl0_111
    | spl0_112
    | ~ spl0_36
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1932,f743,f409,f771,f766]) ).

fof(f766,plain,
    ( spl0_111
  <=> c0_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f771,plain,
    ( spl0_112
  <=> c1_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f743,plain,
    ( spl0_107
  <=> c2_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1932,plain,
    ( c1_1(a462)
    | ~ c0_1(a462)
    | ~ spl0_36
    | ~ spl0_107 ),
    inference(resolution,[],[f410,f745]) ).

fof(f745,plain,
    ( c2_1(a462)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f1959,plain,
    ( ~ spl0_162
    | spl0_98
    | ~ spl0_36
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1938,f627,f409,f695,f1079]) ).

fof(f1938,plain,
    ( c1_1(a477)
    | ~ c0_1(a477)
    | ~ spl0_36
    | ~ spl0_84 ),
    inference(resolution,[],[f410,f629]) ).

fof(f629,plain,
    ( c2_1(a477)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f1924,plain,
    ( spl0_53
    | spl0_160
    | ~ spl0_86
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1906,f855,f638,f1063,f481]) ).

fof(f638,plain,
    ( spl0_86
  <=> ! [X21] :
        ( ~ c1_1(X21)
        | c3_1(X21)
        | c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1906,plain,
    ( c3_1(a559)
    | c0_1(a559)
    | ~ spl0_86
    | ~ spl0_126 ),
    inference(resolution,[],[f639,f857]) ).

fof(f639,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f1919,plain,
    ( spl0_135
    | spl0_114
    | ~ spl0_86
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1897,f1382,f638,f783,f909]) ).

fof(f1897,plain,
    ( c3_1(a478)
    | c0_1(a478)
    | ~ spl0_86
    | ~ spl0_179 ),
    inference(resolution,[],[f639,f1384]) ).

fof(f1912,plain,
    ( spl0_132
    | spl0_136
    | ~ spl0_86
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1899,f799,f638,f917,f895]) ).

fof(f1899,plain,
    ( c3_1(a481)
    | c0_1(a481)
    | ~ spl0_86
    | ~ spl0_117 ),
    inference(resolution,[],[f639,f801]) ).

fof(f1865,plain,
    ( spl0_152
    | spl0_172
    | ~ spl0_80
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1857,f878,f606,f1212,f1012]) ).

fof(f1012,plain,
    ( spl0_152
  <=> c2_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1212,plain,
    ( spl0_172
  <=> c0_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f878,plain,
    ( spl0_129
  <=> c3_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1857,plain,
    ( c0_1(a576)
    | c2_1(a576)
    | ~ spl0_80
    | spl0_129 ),
    inference(resolution,[],[f607,f880]) ).

fof(f880,plain,
    ( ~ c3_1(a576)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f1838,plain,
    ( spl0_17
    | ~ spl0_33
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1823,f591,f397,f326]) ).

fof(f326,plain,
    ( spl0_17
  <=> ! [X5] :
        ( c0_1(X5)
        | c2_1(X5)
        | c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f397,plain,
    ( spl0_33
  <=> ! [X97] :
        ( c2_1(X97)
        | ~ c3_1(X97)
        | c0_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1823,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | c0_1(X4)
        | c2_1(X4) )
    | ~ spl0_33
    | ~ spl0_77 ),
    inference(duplicate_literal_removal,[],[f1809]) ).

fof(f1809,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | c2_1(X4)
        | c2_1(X4)
        | c0_1(X4) )
    | ~ spl0_33
    | ~ spl0_77 ),
    inference(resolution,[],[f592,f398]) ).

fof(f398,plain,
    ( ! [X97] :
        ( ~ c3_1(X97)
        | c2_1(X97)
        | c0_1(X97) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f1717,plain,
    ( ~ spl0_157
    | spl0_95
    | ~ spl0_48
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1709,f1415,f463,f678,f1046]) ).

fof(f1709,plain,
    ( c1_1(a487)
    | ~ c0_1(a487)
    | ~ spl0_48
    | ~ spl0_181 ),
    inference(resolution,[],[f1417,f464]) ).

fof(f1705,plain,
    ( spl0_66
    | spl0_133
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1682,f509,f500,f900,f540]) ).

fof(f540,plain,
    ( spl0_66
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f900,plain,
    ( spl0_133
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f500,plain,
    ( spl0_57
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1682,plain,
    ( c2_1(a494)
    | c3_1(a494)
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(resolution,[],[f510,f502]) ).

fof(f502,plain,
    ( c0_1(a494)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1700,plain,
    ( spl0_167
    | spl0_160
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1684,f509,f481,f1063,f1112]) ).

fof(f1684,plain,
    ( c3_1(a559)
    | c2_1(a559)
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(resolution,[],[f510,f483]) ).

fof(f483,plain,
    ( c0_1(a559)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1694,plain,
    ( spl0_125
    | spl0_169
    | ~ spl0_59
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1674,f690,f509,f1156,f847]) ).

fof(f1674,plain,
    ( c2_1(a467)
    | c3_1(a467)
    | ~ spl0_59
    | ~ spl0_97 ),
    inference(resolution,[],[f510,f692]) ).

fof(f1606,plain,
    ( spl0_47
    | ~ spl0_121
    | ~ spl0_48
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1599,f1020,f463,f820,f458]) ).

fof(f1020,plain,
    ( spl0_153
  <=> c3_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1599,plain,
    ( ~ c0_1(a479)
    | c1_1(a479)
    | ~ spl0_48
    | ~ spl0_153 ),
    inference(resolution,[],[f464,f1022]) ).

fof(f1022,plain,
    ( c3_1(a479)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1577,plain,
    ( spl0_178
    | spl0_127
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f1576,f385,f326,f861,f1376]) ).

fof(f1576,plain,
    ( c0_1(a466)
    | c2_1(a466)
    | ~ spl0_17
    | spl0_30 ),
    inference(resolution,[],[f387,f327]) ).

fof(f327,plain,
    ( ! [X5] :
        ( c1_1(X5)
        | c2_1(X5)
        | c0_1(X5) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f387,plain,
    ( ~ c1_1(a466)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1567,plain,
    ( spl0_56
    | spl0_169
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1546,f690,f372,f1156,f494]) ).

fof(f1546,plain,
    ( c2_1(a467)
    | c1_1(a467)
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(resolution,[],[f373,f692]) ).

fof(f1566,plain,
    ( spl0_73
    | spl0_152
    | ~ spl0_27
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1554,f1212,f372,f1012,f575]) ).

fof(f575,plain,
    ( spl0_73
  <=> c1_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1554,plain,
    ( c2_1(a576)
    | c1_1(a576)
    | ~ spl0_27
    | ~ spl0_172 ),
    inference(resolution,[],[f373,f1214]) ).

fof(f1214,plain,
    ( c0_1(a576)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1212]) ).

fof(f1559,plain,
    ( spl0_139
    | spl0_148
    | ~ spl0_27
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1549,f1264,f372,f989,f932]) ).

fof(f932,plain,
    ( spl0_139
  <=> c2_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f989,plain,
    ( spl0_148
  <=> c1_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1264,plain,
    ( spl0_174
  <=> c0_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1549,plain,
    ( c1_1(a482)
    | c2_1(a482)
    | ~ spl0_27
    | ~ spl0_174 ),
    inference(resolution,[],[f373,f1265]) ).

fof(f1265,plain,
    ( c0_1(a482)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f1519,plain,
    ( ~ spl0_68
    | spl0_176
    | ~ spl0_60
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1515,f1006,f512,f1330,f551]) ).

fof(f512,plain,
    ( spl0_60
  <=> ! [X39] :
        ( c1_1(X39)
        | ~ c2_1(X39)
        | ~ c3_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1515,plain,
    ( c1_1(a493)
    | ~ c2_1(a493)
    | ~ spl0_60
    | ~ spl0_151 ),
    inference(resolution,[],[f513,f1008]) ).

fof(f513,plain,
    ( ! [X39] :
        ( ~ c3_1(X39)
        | c1_1(X39)
        | ~ c2_1(X39) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f1507,plain,
    ( ~ spl0_11
    | ~ spl0_119
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1497,f473,f367,f810,f300]) ).

fof(f300,plain,
    ( spl0_11
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f810,plain,
    ( spl0_119
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f367,plain,
    ( spl0_26
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1497,plain,
    ( ~ c2_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(resolution,[],[f474,f369]) ).

fof(f369,plain,
    ( c1_1(a474)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1486,plain,
    ( spl0_179
    | spl0_135
    | ~ spl0_49
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1467,f783,f466,f909,f1382]) ).

fof(f466,plain,
    ( spl0_49
  <=> ! [X44] :
        ( c1_1(X44)
        | c3_1(X44)
        | c0_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1467,plain,
    ( c0_1(a478)
    | c1_1(a478)
    | ~ spl0_49
    | spl0_114 ),
    inference(resolution,[],[f467,f785]) ).

fof(f785,plain,
    ( ~ c3_1(a478)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f467,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c0_1(X44)
        | c1_1(X44) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1453,plain,
    ( spl0_120
    | spl0_70
    | ~ spl0_17
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1440,f620,f326,f561,f815]) ).

fof(f815,plain,
    ( spl0_120
  <=> c2_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f561,plain,
    ( spl0_70
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f620,plain,
    ( spl0_83
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1440,plain,
    ( c0_1(a470)
    | c2_1(a470)
    | ~ spl0_17
    | spl0_83 ),
    inference(resolution,[],[f327,f622]) ).

fof(f622,plain,
    ( ~ c1_1(a470)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1449,plain,
    ( spl0_174
    | spl0_139
    | ~ spl0_17
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1443,f989,f326,f932,f1264]) ).

fof(f1443,plain,
    ( c2_1(a482)
    | c0_1(a482)
    | ~ spl0_17
    | spl0_148 ),
    inference(resolution,[],[f327,f991]) ).

fof(f991,plain,
    ( ~ c1_1(a482)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f1436,plain,
    ( ~ spl0_121
    | ~ spl0_182
    | ~ spl0_14
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1432,f1020,f314,f1425,f820]) ).

fof(f314,plain,
    ( spl0_14
  <=> ! [X108] :
        ( ~ c3_1(X108)
        | ~ c2_1(X108)
        | ~ c0_1(X108) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1432,plain,
    ( ~ c2_1(a479)
    | ~ c0_1(a479)
    | ~ spl0_14
    | ~ spl0_153 ),
    inference(resolution,[],[f1022,f315]) ).

fof(f315,plain,
    ( ! [X108] :
        ( ~ c3_1(X108)
        | ~ c0_1(X108)
        | ~ c2_1(X108) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f1404,plain,
    ( spl0_145
    | spl0_104
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1393,f397,f255,f728,f965]) ).

fof(f965,plain,
    ( spl0_145
  <=> c0_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f728,plain,
    ( spl0_104
  <=> c2_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f255,plain,
    ( spl0_1
  <=> c3_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1393,plain,
    ( c2_1(a464)
    | c0_1(a464)
    | ~ spl0_1
    | ~ spl0_33 ),
    inference(resolution,[],[f257,f398]) ).

fof(f257,plain,
    ( c3_1(a464)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f1282,plain,
    ( spl0_69
    | spl0_175
    | ~ spl0_33
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1274,f947,f397,f1278,f556]) ).

fof(f1274,plain,
    ( c0_1(a472)
    | c2_1(a472)
    | ~ spl0_33
    | ~ spl0_142 ),
    inference(resolution,[],[f949,f398]) ).

fof(f1270,plain,
    ( spl0_174
    | spl0_139
    | ~ spl0_33
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1260,f1027,f397,f932,f1264]) ).

fof(f1027,plain,
    ( spl0_154
  <=> c3_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1260,plain,
    ( c2_1(a482)
    | c0_1(a482)
    | ~ spl0_33
    | ~ spl0_154 ),
    inference(resolution,[],[f1029,f398]) ).

fof(f1029,plain,
    ( c3_1(a482)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1235,plain,
    ( spl0_98
    | ~ spl0_84
    | ~ spl0_60
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1232,f546,f512,f627,f695]) ).

fof(f1232,plain,
    ( ~ c2_1(a477)
    | c1_1(a477)
    | ~ spl0_60
    | ~ spl0_67 ),
    inference(resolution,[],[f513,f548]) ).

fof(f1224,plain,
    ( spl0_81
    | spl0_149
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1223,f615,f506,f995,f610]) ).

fof(f610,plain,
    ( spl0_81
  <=> c0_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f995,plain,
    ( spl0_149
  <=> c1_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f506,plain,
    ( spl0_58
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c2_1(X38)
        | c1_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f615,plain,
    ( spl0_82
  <=> c2_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1223,plain,
    ( c1_1(a507)
    | c0_1(a507)
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(resolution,[],[f507,f617]) ).

fof(f617,plain,
    ( c2_1(a507)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f507,plain,
    ( ! [X38] :
        ( ~ c2_1(X38)
        | c1_1(X38)
        | c0_1(X38) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1208,plain,
    ( spl0_166
    | ~ spl0_4
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1203,f525,f463,f268,f1106]) ).

fof(f525,plain,
    ( spl0_63
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1203,plain,
    ( ~ c0_1(a471)
    | c1_1(a471)
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(resolution,[],[f464,f527]) ).

fof(f527,plain,
    ( c3_1(a471)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1153,plain,
    ( spl0_23
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1147,f525,f402,f268,f353]) ).

fof(f1147,plain,
    ( ~ c0_1(a471)
    | c2_1(a471)
    | ~ spl0_34
    | ~ spl0_63 ),
    inference(resolution,[],[f403,f527]) ).

fof(f1092,plain,
    ( ~ spl0_164
    | ~ spl0_78
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1077,f330,f314,f595,f1089]) ).

fof(f330,plain,
    ( spl0_18
  <=> c3_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1077,plain,
    ( ~ c0_1(a529)
    | ~ c2_1(a529)
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f315,f332]) ).

fof(f332,plain,
    ( c3_1(a529)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f1073,plain,
    ( ~ spl0_161
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f141,f733,f1070]) ).

fof(f733,plain,
    ( spl0_105
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f141,plain,
    ( ~ hskp24
    | ~ c2_1(a525) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp13
      | ! [X0] :
          ( ~ ndr1_0
          | ~ c0_1(X0)
          | c1_1(X0)
          | ~ c2_1(X0) )
      | ! [X1] :
          ( c0_1(X1)
          | c3_1(X1)
          | ~ ndr1_0
          | ~ c1_1(X1) ) )
    & ( ( ~ c1_1(a470)
        & ndr1_0
        & ~ c0_1(a470)
        & ~ c2_1(a470) )
      | ~ hskp6 )
    & ( hskp7
      | hskp16
      | ! [X2] :
          ( c0_1(X2)
          | ~ ndr1_0
          | ~ c2_1(X2)
          | c3_1(X2) ) )
    & ( ! [X3] :
          ( ~ ndr1_0
          | c1_1(X3)
          | c2_1(X3)
          | ~ c0_1(X3) )
      | ! [X4] :
          ( ~ c1_1(X4)
          | c0_1(X4)
          | ~ ndr1_0
          | ~ c2_1(X4) ) )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & ndr1_0
        & c1_1(a481) )
      | ~ hskp12 )
    & ( hskp3
      | hskp4
      | ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | ~ ndr1_0
          | c2_1(X5) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c0_1(X6) )
      | hskp25
      | hskp14 )
    & ( hskp12
      | hskp3
      | hskp29 )
    & ( ( ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp13
      | hskp1
      | hskp22 )
    & ( ( c3_1(a471)
        & ~ c2_1(a471)
        & ndr1_0
        & c0_1(a471) )
      | ~ hskp7 )
    & ( hskp17
      | hskp21
      | ! [X7] :
          ( c1_1(X7)
          | ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c0_1(X7) ) )
    & ( ! [X8] :
          ( c3_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp21
      | hskp30 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ c1_1(X9) )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0
          | ~ c2_1(X10) )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0
          | ~ c3_1(X11) ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ ndr1_0
          | c0_1(X12)
          | c3_1(X12) )
      | hskp1 )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a463)
        & c2_1(a463)
        & ~ c3_1(a463) ) )
    & ( hskp20
      | hskp21
      | ! [X13] :
          ( ~ ndr1_0
          | c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13) ) )
    & ( ~ hskp5
      | ( c0_1(a467)
        & ndr1_0
        & ~ c3_1(a467)
        & ~ c1_1(a467) ) )
    & ( ! [X14] :
          ( c3_1(X14)
          | ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp7
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c2_1(X15) ) )
    & ( ( ~ c2_1(a472)
        & ndr1_0
        & c3_1(a472)
        & c1_1(a472) )
      | ~ hskp8 )
    & ( ! [X16] :
          ( c1_1(X16)
          | ~ ndr1_0
          | c3_1(X16)
          | c2_1(X16) )
      | hskp16
      | ! [X17] :
          ( ~ ndr1_0
          | c1_1(X17)
          | c3_1(X17)
          | ~ c0_1(X17) ) )
    & ( hskp6
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18) )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0
          | c2_1(X19) ) )
    & ( ! [X20] :
          ( ~ c2_1(X20)
          | c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ ndr1_0
          | c0_1(X21)
          | c3_1(X21) )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ ndr1_0
          | ~ c0_1(X22)
          | c2_1(X22) ) )
    & ( ( ndr1_0
        & ~ c2_1(a464)
        & c3_1(a464)
        & ~ c0_1(a464) )
      | ~ hskp2 )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c2_1(X23)
          | c3_1(X23)
          | ~ c1_1(X23) )
      | ! [X24] :
          ( c0_1(X24)
          | ~ ndr1_0
          | c1_1(X24)
          | ~ c3_1(X24) )
      | hskp5 )
    & ( hskp5
      | hskp23
      | hskp3 )
    & ( ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26) )
      | hskp29 )
    & ( ! [X27] :
          ( ~ ndr1_0
          | c0_1(X27)
          | c1_1(X27)
          | c2_1(X27) )
      | ! [X28] :
          ( c3_1(X28)
          | ~ c0_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | ~ c3_1(X29)
          | ~ c1_1(X29) )
      | hskp16
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30) ) )
    & ( ! [X31] :
          ( c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0
          | c2_1(X31) )
      | hskp19
      | hskp18 )
    & ( ( ndr1_0
        & c3_1(a488)
        & c2_1(a488)
        & c1_1(a488) )
      | ~ hskp30 )
    & ( ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) )
      | ~ hskp25 )
    & ( hskp2
      | hskp1
      | ! [X32] :
          ( ~ ndr1_0
          | c2_1(X32)
          | c1_1(X32)
          | c0_1(X32) ) )
    & ( ~ hskp29
      | ( c2_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c0_1(a474) ) )
    & ( ! [X33] :
          ( ~ c0_1(X33)
          | ~ ndr1_0
          | c3_1(X33)
          | ~ c1_1(X33) )
      | hskp8
      | hskp24 )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ~ c3_1(a484)
        & ndr1_0
        & c2_1(a484) ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34) )
      | ! [X35] :
          ( c3_1(X35)
          | c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | ~ ndr1_0
          | c2_1(X36)
          | c3_1(X36) ) )
    & ( ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | c2_1(X37)
          | c3_1(X37) )
      | ! [X38] :
          ( c1_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ ndr1_0
          | c1_1(X39)
          | ~ c3_1(X39)
          | ~ c2_1(X39) ) )
    & ( ( ~ c2_1(a525)
        & c0_1(a525)
        & c1_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0
          | c3_1(X40) )
      | ! [X41] :
          ( c2_1(X41)
          | ~ ndr1_0
          | c3_1(X41)
          | c1_1(X41) )
      | hskp14 )
    & ( ! [X42] :
          ( c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ c3_1(X43) )
      | ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45) )
      | hskp13
      | hskp8 )
    & ( ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0
          | c2_1(X46) )
      | ! [X47] :
          ( c0_1(X47)
          | ~ ndr1_0
          | c1_1(X47)
          | ~ c3_1(X47) )
      | ! [X48] :
          ( ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0
          | c2_1(X48) ) )
    & ( ~ hskp16
      | ( ~ c1_1(a487)
        & c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0 ) )
    & ( hskp19
      | hskp10
      | hskp31 )
    & ( ! [X49] :
          ( c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | ~ c2_1(X51)
          | c1_1(X51) )
      | hskp12
      | ! [X52] :
          ( ~ c0_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53) )
      | hskp4
      | hskp18 )
    & ( hskp2
      | ! [X54] :
          ( ~ c0_1(X54)
          | c1_1(X54)
          | ~ ndr1_0
          | c3_1(X54) )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0
          | ~ c1_1(X55) ) )
    & ( hskp20
      | hskp22
      | ! [X56] :
          ( ~ ndr1_0
          | c2_1(X56)
          | ~ c1_1(X56)
          | c3_1(X56) ) )
    & ( hskp17
      | ! [X57] :
          ( c3_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c0_1(a519)
        & ~ c2_1(a519) )
      | ~ hskp22 )
    & ( hskp2
      | ! [X58] :
          ( c3_1(X58)
          | c1_1(X58)
          | ~ ndr1_0
          | c2_1(X58) )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0
          | c1_1(X59) ) )
    & ( hskp23
      | hskp9
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c3_1(X61)
          | ~ ndr1_0
          | c1_1(X61)
          | c0_1(X61) )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ ndr1_0
          | ~ c1_1(X62)
          | ~ c3_1(X62) )
      | hskp28 )
    & ( ! [X63] :
          ( ~ c2_1(X63)
          | c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64) )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( c2_1(a483)
        & c1_1(a483)
        & ndr1_0
        & ~ c0_1(a483) ) )
    & ( hskp30
      | ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ( ~ c0_1(a493)
        & ndr1_0
        & c3_1(a493)
        & c2_1(a493) )
      | ~ hskp17 )
    & ( ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp10
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67) )
      | hskp14 )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0
          | ~ c1_1(X68) )
      | hskp17
      | hskp8 )
    & ( ! [X69] :
          ( c2_1(X69)
          | ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c3_1(X69) )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X71] :
          ( ~ c0_1(X71)
          | ~ ndr1_0
          | ~ c1_1(X71)
          | ~ c3_1(X71) )
      | ! [X72] :
          ( c0_1(X72)
          | ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c2_1(X72) )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c1_1(X73) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a479)
        & c0_1(a479)
        & ~ c1_1(a479) ) )
    & ( ( ~ c2_1(a576)
        & ~ c3_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c3_1(X74)
          | c2_1(X74)
          | ~ c1_1(X74) )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( c1_1(a559)
        & ndr1_0
        & ~ c3_1(a559)
        & c0_1(a559) )
      | ~ hskp26 )
    & ( hskp18
      | ! [X76] :
          ( c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0
          | c3_1(X76) )
      | hskp1 )
    & ( ! [X77] :
          ( ~ ndr1_0
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77) )
      | hskp30
      | hskp12 )
    & ( ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ c0_1(X78) )
      | hskp31
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79) ) )
    & ( ~ hskp31
      | ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) ) )
    & ( ~ hskp4
      | ( ~ c1_1(a466)
        & ~ c3_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 ) )
    & ( ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | c2_1(X80)
          | c1_1(X80) )
      | hskp29
      | ! [X81] :
          ( c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0
          | c0_1(X81) ) )
    & ( ! [X82] :
          ( ~ c1_1(X82)
          | ~ ndr1_0
          | c0_1(X82)
          | c2_1(X82) )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c0_1(X84)
          | ~ ndr1_0
          | ~ c1_1(X84)
          | c3_1(X84) ) )
    & ( hskp5
      | ! [X85] :
          ( c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0
          | ~ c1_1(X85) )
      | ! [X86] :
          ( c0_1(X86)
          | ~ ndr1_0
          | c1_1(X86)
          | c3_1(X86) ) )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c1_1(a465)
        & c3_1(a465) ) )
    & ( hskp18
      | ! [X87] :
          ( ~ c3_1(X87)
          | c0_1(X87)
          | ~ ndr1_0
          | ~ c2_1(X87) )
      | hskp6 )
    & ( ~ hskp13
      | ( c3_1(a482)
        & ~ c1_1(a482)
        & ~ c2_1(a482)
        & ndr1_0 ) )
    & ( hskp9
      | hskp29
      | hskp15 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ ndr1_0
          | ~ c3_1(X88) )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0
          | ~ c1_1(X89) )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c0_1(X91)
          | c2_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( hskp12
      | hskp5
      | ! [X92] :
          ( c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0
          | ~ c3_1(X92) ) )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c0_1(a469)
        & ndr1_0
        & c3_1(a469) ) )
    & ( ( ~ c0_1(a521)
        & ndr1_0
        & ~ c2_1(a521)
        & ~ c3_1(a521) )
      | ~ hskp23 )
    & ( hskp9
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ ndr1_0
          | c3_1(X93)
          | c2_1(X93) )
      | hskp11 )
    & ( hskp16
      | hskp26
      | hskp13 )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c3_1(a506)
        & c1_1(a506)
        & c2_1(a506) ) )
    & ( hskp2
      | hskp23
      | hskp26 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | c3_1(X94)
          | ~ c1_1(X94)
          | c2_1(X94) )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0
          | c2_1(X95) )
      | hskp0 )
    & ( hskp8
      | hskp7
      | ! [X96] :
          ( c3_1(X96)
          | ~ ndr1_0
          | c2_1(X96)
          | c0_1(X96) ) )
    & ( ( ~ c1_1(a507)
        & ndr1_0
        & c2_1(a507)
        & ~ c0_1(a507) )
      | ~ hskp21 )
    & ( ~ hskp18
      | ( ~ c3_1(a494)
        & ndr1_0
        & ~ c2_1(a494)
        & c0_1(a494) ) )
    & ( hskp11
      | ! [X97] :
          ( c2_1(X97)
          | c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp10
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X100] :
          ( ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0
          | c2_1(X100) )
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c3_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp17
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ ndr1_0
          | ~ c0_1(X103)
          | ~ c2_1(X103) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c3_1(X104)
          | ~ c0_1(X104) )
      | hskp31 )
    & ( hskp4
      | hskp6
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c0_1(a462)
        & c2_1(a462)
        & ~ c1_1(a462) ) )
    & ( hskp9
      | ! [X106] :
          ( c1_1(X106)
          | c2_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c0_1(X107)
          | ~ ndr1_0
          | ~ c3_1(X107)
          | c2_1(X107) ) )
    & ( hskp0
      | hskp10
      | hskp30 )
    & ( ! [X108] :
          ( ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp3
      | hskp25 )
    & ( ( c3_1(a477)
        & c2_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( hskp6
      | ! [X109] :
          ( ~ ndr1_0
          | c3_1(X109)
          | c2_1(X109)
          | c0_1(X109) )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110) ) )
    & ( ! [X111] :
          ( ~ ndr1_0
          | c1_1(X111)
          | ~ c0_1(X111)
          | c2_1(X111) )
      | hskp9
      | hskp17 )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0
          | ~ c0_1(X112) )
      | hskp18
      | ! [X113] :
          ( ~ c0_1(X113)
          | ~ c3_1(X113)
          | c1_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( c0_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0
          | c3_1(X114) )
      | ! [X115] :
          ( ~ c3_1(X115)
          | ~ c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | c0_1(X116)
          | ~ ndr1_0
          | ~ c2_1(X116) )
      | hskp7
      | hskp17 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp13
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c1_1(X91)
          | ~ c2_1(X91) )
      | ! [X90] :
          ( c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0
          | ~ c1_1(X90) ) )
    & ( ( ~ c1_1(a470)
        & ndr1_0
        & ~ c0_1(a470)
        & ~ c2_1(a470) )
      | ~ hskp6 )
    & ( hskp7
      | hskp16
      | ! [X113] :
          ( c0_1(X113)
          | ~ ndr1_0
          | ~ c2_1(X113)
          | c3_1(X113) ) )
    & ( ! [X111] :
          ( ~ ndr1_0
          | c1_1(X111)
          | c2_1(X111)
          | ~ c0_1(X111) )
      | ! [X110] :
          ( ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0
          | ~ c2_1(X110) ) )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & ndr1_0
        & c1_1(a481) )
      | ~ hskp12 )
    & ( hskp3
      | hskp4
      | ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0
          | c2_1(X13) ) )
    & ( ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c0_1(X100) )
      | hskp25
      | hskp14 )
    & ( hskp12
      | hskp3
      | hskp29 )
    & ( ( ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp13
      | hskp1
      | hskp22 )
    & ( ( c3_1(a471)
        & ~ c2_1(a471)
        & ndr1_0
        & c0_1(a471) )
      | ~ hskp7 )
    & ( hskp17
      | hskp21
      | ! [X9] :
          ( c1_1(X9)
          | ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c0_1(X9) ) )
    & ( ! [X14] :
          ( c3_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp21
      | hskp30 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61) )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0
          | ~ c2_1(X60) )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59) ) )
    & ( hskp15
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ ndr1_0
          | c0_1(X78)
          | c3_1(X78) )
      | hskp1 )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a463)
        & c2_1(a463)
        & ~ c3_1(a463) ) )
    & ( hskp20
      | hskp21
      | ! [X7] :
          ( ~ ndr1_0
          | c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7) ) )
    & ( ~ hskp5
      | ( c0_1(a467)
        & ndr1_0
        & ~ c3_1(a467)
        & ~ c1_1(a467) ) )
    & ( ! [X19] :
          ( c3_1(X19)
          | ~ c0_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp7
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c2_1(X18) ) )
    & ( ( ~ c2_1(a472)
        & ndr1_0
        & c3_1(a472)
        & c1_1(a472) )
      | ~ hskp8 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ ndr1_0
          | c3_1(X99)
          | c2_1(X99) )
      | hskp16
      | ! [X98] :
          ( ~ ndr1_0
          | c1_1(X98)
          | c3_1(X98)
          | ~ c0_1(X98) ) )
    & ( hskp6
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c0_1(X105)
          | ~ c3_1(X105) )
      | ! [X104] :
          ( ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0
          | c2_1(X104) ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | c1_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ ndr1_0
          | c0_1(X41)
          | c3_1(X41) )
      | ! [X43] :
          ( ~ c1_1(X43)
          | ~ ndr1_0
          | ~ c0_1(X43)
          | c2_1(X43) ) )
    & ( ( ndr1_0
        & ~ c2_1(a464)
        & c3_1(a464)
        & ~ c0_1(a464) )
      | ~ hskp2 )
    & ( ! [X63] :
          ( ~ ndr1_0
          | c2_1(X63)
          | c3_1(X63)
          | ~ c1_1(X63) )
      | ! [X62] :
          ( c0_1(X62)
          | ~ ndr1_0
          | c1_1(X62)
          | ~ c3_1(X62) )
      | hskp5 )
    & ( hskp5
      | hskp23
      | hskp3 )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5) )
      | hskp29 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | c1_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | ~ c3_1(X31)
          | ~ c1_1(X31) )
      | hskp16
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30) ) )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0
          | c2_1(X79) )
      | hskp19
      | hskp18 )
    & ( ( ndr1_0
        & c3_1(a488)
        & c2_1(a488)
        & c1_1(a488) )
      | ~ hskp30 )
    & ( ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) )
      | ~ hskp25 )
    & ( hskp2
      | hskp1
      | ! [X103] :
          ( ~ ndr1_0
          | c2_1(X103)
          | c1_1(X103)
          | c0_1(X103) ) )
    & ( ~ hskp29
      | ( c2_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c0_1(a474) ) )
    & ( ! [X92] :
          ( ~ c0_1(X92)
          | ~ ndr1_0
          | c3_1(X92)
          | ~ c1_1(X92) )
      | hskp8
      | hskp24 )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ~ c3_1(a484)
        & ndr1_0
        & c2_1(a484) ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( c3_1(X32)
          | c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ ndr1_0
          | c2_1(X34)
          | c3_1(X34) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | c2_1(X38)
          | c3_1(X38) )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ ndr1_0
          | c1_1(X40)
          | ~ c3_1(X40)
          | ~ c2_1(X40) ) )
    & ( ( ~ c2_1(a525)
        & c0_1(a525)
        & c1_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ! [X52] :
          ( c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0
          | c3_1(X52) )
      | ! [X51] :
          ( c2_1(X51)
          | ~ ndr1_0
          | c3_1(X51)
          | c1_1(X51) )
      | hskp14 )
    & ( ! [X114] :
          ( c1_1(X114)
          | ~ c0_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c1_1(X116)
          | c0_1(X116)
          | ~ c3_1(X116) )
      | ! [X115] :
          ( c0_1(X115)
          | c3_1(X115)
          | c1_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48) )
      | hskp13
      | hskp8 )
    & ( ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0
          | c2_1(X71) )
      | ! [X72] :
          ( c0_1(X72)
          | ~ ndr1_0
          | c1_1(X72)
          | ~ c3_1(X72) )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0
          | c2_1(X73) ) )
    & ( ~ hskp16
      | ( ~ c1_1(a487)
        & c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0 ) )
    & ( hskp19
      | hskp10
      | hskp31 )
    & ( ! [X16] :
          ( c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | ~ c2_1(X89)
          | c1_1(X89) )
      | hskp12
      | ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0
          | ~ c1_1(X57) )
      | hskp4
      | hskp18 )
    & ( hskp2
      | ! [X81] :
          ( ~ c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0
          | c3_1(X81) )
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0
          | ~ c1_1(X80) ) )
    & ( hskp20
      | hskp22
      | ! [X25] :
          ( ~ ndr1_0
          | c2_1(X25)
          | ~ c1_1(X25)
          | c3_1(X25) ) )
    & ( hskp17
      | ! [X82] :
          ( c3_1(X82)
          | ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c0_1(a519)
        & ~ c2_1(a519) )
      | ~ hskp22 )
    & ( hskp2
      | ! [X1] :
          ( c3_1(X1)
          | c1_1(X1)
          | ~ ndr1_0
          | c2_1(X1) )
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0
          | c1_1(X0) ) )
    & ( hskp23
      | hskp9
      | ! [X21] :
          ( c2_1(X21)
          | c3_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | ~ ndr1_0
          | c1_1(X29)
          | c0_1(X29) )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ ndr1_0
          | ~ c1_1(X28)
          | ~ c3_1(X28) )
      | hskp28 )
    & ( ! [X23] :
          ( ~ c2_1(X23)
          | c0_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | c3_1(X22) )
      | ! [X24] :
          ( c1_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ~ hskp14
      | ( c2_1(a483)
        & c1_1(a483)
        & ndr1_0
        & ~ c0_1(a483) ) )
    & ( hskp30
      | ! [X26] :
          ( c0_1(X26)
          | ~ c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ( ~ c0_1(a493)
        & ndr1_0
        & c3_1(a493)
        & c2_1(a493) )
      | ~ hskp17 )
    & ( ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp10
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10) )
      | hskp14 )
    & ( ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0
          | ~ c1_1(X20) )
      | hskp17
      | hskp8 )
    & ( ! [X66] :
          ( c2_1(X66)
          | ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c3_1(X66) )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c0_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c3_1(X35) )
      | ! [X37] :
          ( c0_1(X37)
          | ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c2_1(X37) )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c1_1(X36) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a479)
        & c0_1(a479)
        & ~ c1_1(a479) ) )
    & ( ( ~ c2_1(a576)
        & ~ c3_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c2_1(X3)
          | ~ c1_1(X3) )
      | ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( c1_1(a559)
        & ndr1_0
        & ~ c3_1(a559)
        & c0_1(a559) )
      | ~ hskp26 )
    & ( hskp18
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0
          | c3_1(X64) )
      | hskp1 )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67) )
      | hskp30
      | hskp12 )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ c0_1(X45) )
      | hskp31
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ c0_1(X44) ) )
    & ( ~ hskp31
      | ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) ) )
    & ( ~ hskp4
      | ( ~ c1_1(a466)
        & ~ c3_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | c2_1(X107)
          | c1_1(X107) )
      | hskp29
      | ! [X106] :
          ( c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0
          | c0_1(X106) ) )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ ndr1_0
          | c0_1(X85)
          | c2_1(X85) )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c0_1(X84)
          | ~ ndr1_0
          | ~ c1_1(X84)
          | c3_1(X84) ) )
    & ( hskp5
      | ! [X11] :
          ( c2_1(X11)
          | c0_1(X11)
          | ~ ndr1_0
          | ~ c1_1(X11) )
      | ! [X12] :
          ( c0_1(X12)
          | ~ ndr1_0
          | c1_1(X12)
          | c3_1(X12) ) )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c1_1(a465)
        & c3_1(a465) ) )
    & ( hskp18
      | ! [X6] :
          ( ~ c3_1(X6)
          | c0_1(X6)
          | ~ ndr1_0
          | ~ c2_1(X6) )
      | hskp6 )
    & ( ~ hskp13
      | ( c3_1(a482)
        & ~ c1_1(a482)
        & ~ c2_1(a482)
        & ndr1_0 ) )
    & ( hskp9
      | hskp29
      | hskp15 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c2_1(X96)
          | ~ ndr1_0
          | ~ c3_1(X96) )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0
          | ~ c1_1(X97) )
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c0_1(X77)
          | c2_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( hskp12
      | hskp5
      | ! [X83] :
          ( c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0
          | ~ c3_1(X83) ) )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c0_1(a469)
        & ndr1_0
        & c3_1(a469) ) )
    & ( ( ~ c0_1(a521)
        & ndr1_0
        & ~ c2_1(a521)
        & ~ c3_1(a521) )
      | ~ hskp23 )
    & ( hskp9
      | ! [X58] :
          ( ~ c1_1(X58)
          | ~ ndr1_0
          | c3_1(X58)
          | c2_1(X58) )
      | hskp11 )
    & ( hskp16
      | hskp26
      | hskp13 )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c3_1(a506)
        & c1_1(a506)
        & c2_1(a506) ) )
    & ( hskp2
      | hskp23
      | hskp26 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c3_1(X69)
          | ~ c1_1(X69)
          | c2_1(X69) )
      | ! [X70] :
          ( c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0
          | c2_1(X70) )
      | hskp0 )
    & ( hskp8
      | hskp7
      | ! [X74] :
          ( c3_1(X74)
          | ~ ndr1_0
          | c2_1(X74)
          | c0_1(X74) ) )
    & ( ( ~ c1_1(a507)
        & ndr1_0
        & c2_1(a507)
        & ~ c0_1(a507) )
      | ~ hskp21 )
    & ( ~ hskp18
      | ( ~ c3_1(a494)
        & ndr1_0
        & ~ c2_1(a494)
        & c0_1(a494) ) )
    & ( hskp11
      | ! [X93] :
          ( c2_1(X93)
          | c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp10
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X101] :
          ( ~ c0_1(X101)
          | c1_1(X101)
          | ~ ndr1_0
          | c2_1(X101) )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c3_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp17
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ ndr1_0
          | ~ c0_1(X49)
          | ~ c2_1(X49) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ c0_1(X50) )
      | hskp31 )
    & ( hskp4
      | hskp6
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c0_1(a462)
        & c2_1(a462)
        & ~ c1_1(a462) ) )
    & ( hskp9
      | ! [X109] :
          ( c1_1(X109)
          | c2_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c0_1(X108)
          | ~ ndr1_0
          | ~ c3_1(X108)
          | c2_1(X108) ) )
    & ( hskp0
      | hskp10
      | hskp30 )
    & ( ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp3
      | hskp25 )
    & ( ( c3_1(a477)
        & c2_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( hskp6
      | ! [X53] :
          ( ~ ndr1_0
          | c3_1(X53)
          | c2_1(X53)
          | c0_1(X53) )
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54) ) )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c1_1(X112)
          | ~ c0_1(X112)
          | c2_1(X112) )
      | hskp9
      | hskp17 )
    & ( ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0
          | ~ c0_1(X76) )
      | hskp18
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0
          | c3_1(X46) )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | c0_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15) )
      | hskp7
      | hskp17 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ( c3_1(a471)
        & ~ c2_1(a471)
        & ndr1_0
        & c0_1(a471) )
      | ~ hskp7 )
    & ( hskp16
      | ! [X99] :
          ( c1_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a488)
        & c2_1(a488)
        & c1_1(a488) )
      | ~ hskp30 )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a479)
        & c0_1(a479)
        & ~ c1_1(a479) ) )
    & ( hskp6
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a464)
        & c3_1(a464)
        & ~ c0_1(a464) )
      | ~ hskp2 )
    & ( ~ hskp18
      | ( ~ c3_1(a494)
        & ndr1_0
        & ~ c2_1(a494)
        & c0_1(a494) ) )
    & ( hskp17
      | hskp5
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( ~ c1_1(a466)
        & ~ c3_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 ) )
    & ( ~ hskp13
      | ( c3_1(a482)
        & ~ c1_1(a482)
        & ~ c2_1(a482)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a493)
        & ndr1_0
        & c3_1(a493)
        & c2_1(a493) )
      | ~ hskp17 )
    & ( ( ~ c1_1(a507)
        & ndr1_0
        & c2_1(a507)
        & ~ c0_1(a507) )
      | ~ hskp21 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp14
      | ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c0_1(X93)
          | c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a472)
        & ndr1_0
        & c3_1(a472)
        & c1_1(a472) )
      | ~ hskp8 )
    & ( ! [X10] :
          ( ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ! [X24] :
          ( c3_1(X24)
          | c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp8
      | ! [X92] :
          ( ~ c1_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | hskp16
      | hskp7 )
    & ( hskp7
      | hskp17
      | ! [X15] :
          ( c0_1(X15)
          | ~ c3_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | hskp31
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp10
      | hskp31 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & ndr1_0
        & c1_1(a481) )
      | ~ hskp12 )
    & ( hskp2
      | hskp23
      | hskp26 )
    & ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp5
      | hskp23
      | hskp3 )
    & ( hskp3
      | ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp12
      | ! [X67] :
          ( c3_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp30 )
    & ( hskp30
      | hskp21
      | ! [X14] :
          ( ~ c2_1(X14)
          | c3_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | hskp13 )
    & ( ~ hskp16
      | ( ~ c1_1(a487)
        & c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a521)
        & ndr1_0
        & ~ c2_1(a521)
        & ~ c3_1(a521) )
      | ~ hskp23 )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c3_1(a506)
        & c1_1(a506)
        & c2_1(a506) ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c0_1(a462)
        & c2_1(a462)
        & ~ c1_1(a462) ) )
    & ( ~ hskp29
      | ( c2_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c0_1(a474) ) )
    & ( ( c3_1(a477)
        & c2_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a559)
        & ndr1_0
        & ~ c3_1(a559)
        & c0_1(a559) )
      | ~ hskp26 )
    & ( ( ~ c2_1(a525)
        & c0_1(a525)
        & c1_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X40] :
          ( c1_1(X40)
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X5] :
          ( c2_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c2_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c0_1(X65)
          | ~ c3_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ~ hskp14
      | ( c2_1(a483)
        & c1_1(a483)
        & ndr1_0
        & ~ c0_1(a483) ) )
    & ( hskp15
      | hskp1
      | ! [X78] :
          ( ~ c2_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a470)
        & ndr1_0
        & ~ c0_1(a470)
        & ~ c2_1(a470) )
      | ~ hskp6 )
    & ( ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) )
      | ~ hskp25 )
    & ( ( ~ c2_1(a576)
        & ~ c3_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp14
      | ! [X52] :
          ( c2_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | c1_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c0_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | c1_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X21] :
          ( c3_1(X21)
          | ~ c1_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | hskp9
      | hskp23 )
    & ( hskp12
      | hskp3
      | hskp29 )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | c1_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c2_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | hskp29 )
    & ( hskp20
      | hskp21
      | ! [X7] :
          ( c3_1(X7)
          | ~ c0_1(X7)
          | c1_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | c0_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c1_1(X115)
          | c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c1_1(X114)
          | ~ c3_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a463)
        & c2_1(a463)
        & ~ c3_1(a463) ) )
    & ( ~ hskp5
      | ( c0_1(a467)
        & ndr1_0
        & ~ c3_1(a467)
        & ~ c1_1(a467) ) )
    & ( hskp8
      | hskp7
      | ! [X74] :
          ( c0_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c1_1(X96)
          | c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c3_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( ! [X86] :
          ( c3_1(X86)
          | c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c0_1(X85)
          | c2_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( c1_1(X112)
          | c2_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 )
      | hskp9
      | hskp17 )
    & ( hskp5
      | ! [X62] :
          ( c1_1(X62)
          | c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c1_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c0_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c0_1(X111)
          | c1_1(X111)
          | c2_1(X111)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ~ c3_1(a484)
        & ndr1_0
        & c2_1(a484) ) )
    & ( hskp29
      | ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp11
      | hskp9
      | ! [X58] :
          ( c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X25] :
          ( ~ c1_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X0] :
          ( ~ c2_1(X0)
          | ~ c3_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp2
      | ! [X1] :
          ( c2_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c0_1(a469)
        & ndr1_0
        & c3_1(a469) ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp0
      | hskp10
      | hskp30 )
    & ( hskp0
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | c2_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp16
      | ! [X31] :
          ( c0_1(X31)
          | ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ~ hskp31
      | ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) ) )
    & ( ! [X6] :
          ( ~ c2_1(X6)
          | ~ c3_1(X6)
          | c0_1(X6)
          | ~ ndr1_0 )
      | hskp6
      | hskp18 )
    & ( hskp21
      | ! [X9] :
          ( c1_1(X9)
          | ~ c0_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 )
      | hskp4
      | hskp18 )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp12
      | ! [X89] :
          ( c1_1(X89)
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X64] :
          ( c3_1(X64)
          | c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c3_1(X83)
          | c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | hskp5
      | hskp12 )
    & ( ! [X34] :
          ( c3_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c3_1(X32)
          | c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c1_1(X33)
          | c0_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c1_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c1_1(X43)
          | c2_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | hskp15 )
    & ( ! [X3] :
          ( c3_1(X3)
          | ~ c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp6
      | ! [X2] :
          ( ~ c1_1(X2)
          | c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( c3_1(X104)
          | c2_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c0_1(a519)
        & ~ c2_1(a519) )
      | ~ hskp22 )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | c1_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp18
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp3
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp10
      | hskp24 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c0_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c1_1(a465)
        & c3_1(a465) ) )
    & ( ( ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp8
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp1
      | hskp30
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c1_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X12] :
          ( c3_1(X12)
          | c1_1(X12)
          | c0_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c1_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X103] :
          ( c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp13
      | ! [X90] :
          ( ~ c1_1(X90)
          | c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ( c3_1(a471)
        & ~ c2_1(a471)
        & ndr1_0
        & c0_1(a471) )
      | ~ hskp7 )
    & ( hskp16
      | ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | c3_1(X99)
            | c2_1(X99) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c3_1(X98)
            | ~ c0_1(X98) ) ) )
    & ( ( ndr1_0
        & c3_1(a488)
        & c2_1(a488)
        & c1_1(a488) )
      | ~ hskp30 )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a479)
        & c0_1(a479)
        & ~ c1_1(a479) ) )
    & ( hskp6
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) ) )
    & ( ( ndr1_0
        & ~ c2_1(a464)
        & c3_1(a464)
        & ~ c0_1(a464) )
      | ~ hskp2 )
    & ( ~ hskp18
      | ( ~ c3_1(a494)
        & ndr1_0
        & ~ c2_1(a494)
        & c0_1(a494) ) )
    & ( hskp17
      | hskp5
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c3_1(X87)
            | c2_1(X87) ) ) )
    & ( ~ hskp4
      | ( ~ c1_1(a466)
        & ~ c3_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 ) )
    & ( ~ hskp13
      | ( c3_1(a482)
        & ~ c1_1(a482)
        & ~ c2_1(a482)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a493)
        & ndr1_0
        & c3_1(a493)
        & c2_1(a493) )
      | ~ hskp17 )
    & ( ( ~ c1_1(a507)
        & ndr1_0
        & c2_1(a507)
        & ~ c0_1(a507) )
      | ~ hskp21 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c3_1(X47)
            | ~ c1_1(X47) ) )
      | hskp14
      | ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) ) )
    & ( hskp11
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c0_1(X93)
            | c2_1(X93)
            | ~ c3_1(X93) ) ) )
    & ( ( ~ c2_1(a472)
        & ndr1_0
        & c3_1(a472)
        & c1_1(a472) )
      | ~ hskp8 )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | ~ c1_1(X10)
            | ~ c2_1(X10) ) )
      | hskp14
      | hskp10 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | c1_1(X24) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | ~ c3_1(X23)
            | ~ c2_1(X23) ) ) )
    & ( hskp24
      | hskp8
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | ~ c0_1(X92)
            | c3_1(X92) ) ) )
    & ( hskp18
      | hskp17
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c2_1(X82)
            | c3_1(X82) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c2_1(X113)
            | c0_1(X113) ) )
      | hskp16
      | hskp7 )
    & ( hskp7
      | hskp17
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c3_1(X15)
            | ~ c2_1(X15) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c2_1(X44)
            | ~ c0_1(X44) ) )
      | hskp31
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | ~ c0_1(X45) ) ) )
    & ( hskp19
      | hskp10
      | hskp31 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & ndr1_0
        & c1_1(a481) )
      | ~ hskp12 )
    & ( hskp2
      | hskp23
      | hskp26 )
    & ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp5
      | hskp23
      | hskp3 )
    & ( hskp3
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c2_1(X13) ) )
      | hskp4 )
    & ( hskp12
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | ~ c1_1(X67)
            | ~ c0_1(X67) ) )
      | hskp30 )
    & ( hskp30
      | hskp21
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c3_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp16
      | hskp26
      | hskp13 )
    & ( ~ hskp16
      | ( ~ c1_1(a487)
        & c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a521)
        & ndr1_0
        & ~ c2_1(a521)
        & ~ c3_1(a521) )
      | ~ hskp23 )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c3_1(a506)
        & c1_1(a506)
        & c2_1(a506) ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c0_1(a462)
        & c2_1(a462)
        & ~ c1_1(a462) ) )
    & ( ~ hskp29
      | ( c2_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c0_1(a474) ) )
    & ( ( c3_1(a477)
        & c2_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a559)
        & ndr1_0
        & ~ c3_1(a559)
        & c0_1(a559) )
      | ~ hskp26 )
    & ( ( ~ c2_1(a525)
        & c0_1(a525)
        & c1_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp6
      | hskp4 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c3_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c0_1(X39)
            | ~ c2_1(X39) ) ) )
    & ( hskp29
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c0_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c2_1(X4)
            | c3_1(X4) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | ~ c1_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c3_1(X65)
            | c2_1(X65) ) )
      | hskp10 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c0_1(X17)
            | ~ c2_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c2_1(X18)
            | ~ c3_1(X18)
            | ~ c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) )
      | hskp7 )
    & ( ~ hskp14
      | ( c2_1(a483)
        & c1_1(a483)
        & ndr1_0
        & ~ c0_1(a483) ) )
    & ( hskp15
      | hskp1
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | c3_1(X78)
            | c0_1(X78) ) ) )
    & ( ( ~ c1_1(a470)
        & ndr1_0
        & ~ c0_1(a470)
        & ~ c2_1(a470) )
      | ~ hskp6 )
    & ( ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) )
      | ~ hskp25 )
    & ( ( ~ c2_1(a576)
        & ~ c3_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( hskp14
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | c3_1(X52)
            | ~ c1_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c2_1(X51)
            | c1_1(X51)
            | c3_1(X51) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( c0_1(X102)
            | ~ c1_1(X102)
            | ~ c3_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | c1_1(X101)
            | c2_1(X101) ) )
      | hskp5 )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c0_1(X81) ) )
      | hskp2 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c0_1(X109)
            | c1_1(X109) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c0_1(X108)
            | ~ c3_1(X108) ) )
      | hskp9 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | ~ c1_1(X21)
            | c2_1(X21) ) )
      | hskp9
      | hskp23 )
    & ( hskp12
      | hskp3
      | hskp29 )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | c1_1(X107)
            | c2_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | c2_1(X106)
            | c0_1(X106) ) )
      | hskp29 )
    & ( hskp20
      | hskp21
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | ~ c0_1(X7)
            | c1_1(X7) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c0_1(X79)
            | c2_1(X79) ) )
      | hskp18
      | hskp19 )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c0_1(X116)
            | ~ c1_1(X116) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c1_1(X115)
            | c0_1(X115)
            | c3_1(X115) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c1_1(X114)
            | ~ c3_1(X114)
            | ~ c0_1(X114) ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a463)
        & c2_1(a463)
        & ~ c3_1(a463) ) )
    & ( ~ hskp5
      | ( c0_1(a467)
        & ndr1_0
        & ~ c3_1(a467)
        & ~ c1_1(a467) ) )
    & ( hskp8
      | hskp7
      | ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | c3_1(X74)
            | c2_1(X74) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c1_1(X97)
            | c3_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c2_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c3_1(X95)
            | c1_1(X95) ) ) )
    & ( hskp8
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | ~ c0_1(X48) ) )
      | hskp13 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c0_1(X86)
            | c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c0_1(X85)
            | c2_1(X85)
            | ~ c1_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c1_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp31
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | ~ c0_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( c1_1(X112)
            | c2_1(X112)
            | ~ c0_1(X112) ) )
      | hskp9
      | hskp17 )
    & ( hskp5
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c0_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | ~ c1_1(X63)
            | c3_1(X63) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | c0_1(X110)
            | ~ c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | c1_1(X111)
            | c2_1(X111) ) ) )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ~ c3_1(a484)
        & ndr1_0
        & c2_1(a484) ) )
    & ( hskp29
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c1_1(X77)
            | c0_1(X77) ) )
      | hskp0 )
    & ( hskp11
      | hskp9
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | ~ c1_1(X58)
            | c2_1(X58) ) ) )
    & ( hskp20
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | hskp22 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c3_1(X0)
            | c1_1(X0) ) )
      | hskp2
      | ! [X1] :
          ( ndr1_0
         => ( c2_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) ) )
    & ( ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c0_1(a469)
        & ndr1_0
        & c3_1(a469) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c3_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | ~ c1_1(X28) ) )
      | hskp28 )
    & ( hskp0
      | hskp10
      | hskp30 )
    & ( hskp0
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c3_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | ~ c2_1(X30) ) )
      | hskp16
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | ~ c3_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( ~ hskp31
      | ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c3_1(X6)
            | c0_1(X6) ) )
      | hskp6
      | hskp18 )
    & ( hskp21
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | ~ c0_1(X9)
            | ~ c3_1(X9) ) )
      | hskp17 )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c2_1(X57)
            | ~ c1_1(X57) ) )
      | hskp4
      | hskp18 )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp12
      | ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c2_1(X89)
            | ~ c0_1(X89) ) ) )
    & ( hskp1
      | hskp18
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c1_1(X64)
            | ~ c0_1(X64) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c0_1(X83)
            | c2_1(X83) ) )
      | hskp5
      | hskp12 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c3_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | c0_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c0_1(X33)
            | c2_1(X33) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c1_1(X41)
            | c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | ~ c2_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c2_1(X43)
            | ~ c0_1(X43) ) ) )
    & ( hskp9
      | hskp29
      | hskp15 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | ~ c1_1(X3)
            | c2_1(X3) ) )
      | hskp6
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | c0_1(X2)
            | c2_1(X2) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | ~ c1_1(X36)
            | ~ c2_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c2_1(X37)
            | ~ c3_1(X37) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | c2_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c3_1(X105)
            | ~ c0_1(X105) ) )
      | hskp6 )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c0_1(a519)
        & ~ c2_1(a519) )
      | ~ hskp22 )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c1_1(X75)
            | ~ c0_1(X75) ) )
      | hskp18
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | ~ c2_1(X76)
            | ~ c0_1(X76) ) ) )
    & ( hskp0
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c3_1(X69)
            | c2_1(X69) ) ) )
    & ( hskp25
      | hskp3
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c3_1(X68)
            | ~ c0_1(X68) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c3_1(X8)
            | ~ c2_1(X8) ) )
      | hskp10
      | hskp24 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c0_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c1_1(X73)
            | c0_1(X73) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c1_1(a465)
        & c3_1(a465) ) )
    & ( ( ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( hskp8
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c1_1(X20)
            | ~ c3_1(X20) ) )
      | hskp17 )
    & ( hskp1
      | hskp30
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp25
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | ~ c0_1(X100) ) )
      | hskp14 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | ~ c1_1(X11)
            | c0_1(X11) ) )
      | hskp5 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | hskp2
      | hskp1 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | hskp13
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c0_1(X90)
            | c3_1(X90) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ( c3_1(a471)
            & ~ c2_1(a471)
            & ndr1_0
            & c0_1(a471) )
          | ~ hskp7 )
        & ( hskp16
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c3_1(X98)
                | ~ c0_1(X98) ) ) )
        & ( ( ndr1_0
            & c3_1(a488)
            & c2_1(a488)
            & c1_1(a488) )
          | ~ hskp30 )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a479)
            & c0_1(a479)
            & ~ c1_1(a479) ) )
        & ( hskp6
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a464)
            & c3_1(a464)
            & ~ c0_1(a464) )
          | ~ hskp2 )
        & ( ~ hskp18
          | ( ~ c3_1(a494)
            & ndr1_0
            & ~ c2_1(a494)
            & c0_1(a494) ) )
        & ( hskp17
          | hskp5
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c3_1(X87)
                | c2_1(X87) ) ) )
        & ( ~ hskp4
          | ( ~ c1_1(a466)
            & ~ c3_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 ) )
        & ( ~ hskp13
          | ( c3_1(a482)
            & ~ c1_1(a482)
            & ~ c2_1(a482)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a493)
            & ndr1_0
            & c3_1(a493)
            & c2_1(a493) )
          | ~ hskp17 )
        & ( ( ~ c1_1(a507)
            & ndr1_0
            & c2_1(a507)
            & ~ c0_1(a507) )
          | ~ hskp21 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c3_1(X47)
                | ~ c1_1(X47) ) )
          | hskp14
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( hskp11
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c0_1(X93)
                | c2_1(X93)
                | ~ c3_1(X93) ) ) )
        & ( ( ~ c2_1(a472)
            & ndr1_0
            & c3_1(a472)
            & c1_1(a472) )
          | ~ hskp8 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | ~ c1_1(X10)
                | ~ c2_1(X10) ) )
          | hskp14
          | hskp10 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c1_1(X24) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c3_1(X23)
                | ~ c2_1(X23) ) ) )
        & ( hskp24
          | hskp8
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) ) )
        & ( hskp18
          | hskp17
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | c3_1(X82) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c2_1(X113)
                | c0_1(X113) ) )
          | hskp16
          | hskp7 )
        & ( hskp7
          | hskp17
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c3_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | hskp31
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) ) )
        & ( hskp19
          | hskp10
          | hskp31 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & ndr1_0
            & c1_1(a481) )
          | ~ hskp12 )
        & ( hskp2
          | hskp23
          | hskp26 )
        & ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp5
          | hskp23
          | hskp3 )
        & ( hskp3
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c2_1(X13) ) )
          | hskp4 )
        & ( hskp12
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | hskp30 )
        & ( hskp30
          | hskp21
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c3_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp16
          | hskp26
          | hskp13 )
        & ( ~ hskp16
          | ( ~ c1_1(a487)
            & c0_1(a487)
            & ~ c2_1(a487)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a521)
            & ndr1_0
            & ~ c2_1(a521)
            & ~ c3_1(a521) )
          | ~ hskp23 )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c3_1(a506)
            & c1_1(a506)
            & c2_1(a506) ) )
        & ( ~ hskp0
          | ( ndr1_0
            & c0_1(a462)
            & c2_1(a462)
            & ~ c1_1(a462) ) )
        & ( ~ hskp29
          | ( c2_1(a474)
            & ndr1_0
            & c1_1(a474)
            & c0_1(a474) ) )
        & ( ( c3_1(a477)
            & c2_1(a477)
            & ~ c1_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( c1_1(a559)
            & ndr1_0
            & ~ c3_1(a559)
            & c0_1(a559) )
          | ~ hskp26 )
        & ( ( ~ c2_1(a525)
            & c0_1(a525)
            & c1_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp6
          | hskp4 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c3_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c0_1(X39)
                | ~ c2_1(X39) ) ) )
        & ( hskp29
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c0_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c2_1(X4)
                | c3_1(X4) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c3_1(X65)
                | c2_1(X65) ) )
          | hskp10 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | ~ c2_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c3_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) )
          | hskp7 )
        & ( ~ hskp14
          | ( c2_1(a483)
            & c1_1(a483)
            & ndr1_0
            & ~ c0_1(a483) ) )
        & ( hskp15
          | hskp1
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | c3_1(X78)
                | c0_1(X78) ) ) )
        & ( ( ~ c1_1(a470)
            & ndr1_0
            & ~ c0_1(a470)
            & ~ c2_1(a470) )
          | ~ hskp6 )
        & ( ( ndr1_0
            & ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545) )
          | ~ hskp25 )
        & ( ( ~ c2_1(a576)
            & ~ c3_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( hskp14
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | c1_1(X51)
                | c3_1(X51) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( c0_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c1_1(X101)
                | c2_1(X101) ) )
          | hskp5 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | hskp2 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | c1_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c0_1(X108)
                | ~ c3_1(X108) ) )
          | hskp9 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | ~ c1_1(X21)
                | c2_1(X21) ) )
          | hskp9
          | hskp23 )
        & ( hskp12
          | hskp3
          | hskp29 )
        & ( hskp25
          | hskp0
          | hskp14 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c1_1(X107)
                | c2_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | c2_1(X106)
                | c0_1(X106) ) )
          | hskp29 )
        & ( hskp20
          | hskp21
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) )
          | hskp18
          | hskp19 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c0_1(X116)
                | ~ c1_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c1_1(X115)
                | c0_1(X115)
                | c3_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c1_1(X114)
                | ~ c3_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c1_1(a463)
            & c2_1(a463)
            & ~ c3_1(a463) ) )
        & ( ~ hskp5
          | ( c0_1(a467)
            & ndr1_0
            & ~ c3_1(a467)
            & ~ c1_1(a467) ) )
        & ( hskp8
          | hskp7
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c1_1(X97)
                | c3_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c2_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c3_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp8
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | hskp13 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c0_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c0_1(X85)
                | c2_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp31
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | c2_1(X112)
                | ~ c0_1(X112) ) )
          | hskp9
          | hskp17 )
        & ( hskp5
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c0_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c1_1(X63)
                | c3_1(X63) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c0_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | c1_1(X111)
                | c2_1(X111) ) ) )
        & ( ~ hskp15
          | ( c0_1(a484)
            & ~ c3_1(a484)
            & ndr1_0
            & c2_1(a484) ) )
        & ( hskp29
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) )
          | hskp0 )
        & ( hskp11
          | hskp9
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) ) )
        & ( hskp20
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | hskp22 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c3_1(X0)
                | c1_1(X0) ) )
          | hskp2
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) ) )
        & ( ( ~ c2_1(a500)
            & ~ c3_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ~ hskp28
          | ( c2_1(a469)
            & c0_1(a469)
            & ndr1_0
            & c3_1(a469) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c1_1(X28) ) )
          | hskp28 )
        & ( hskp0
          | hskp10
          | hskp30 )
        & ( hskp0
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c3_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | ~ c2_1(X30) ) )
          | hskp16
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c3_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ~ hskp31
          | ( c1_1(a529)
            & c3_1(a529)
            & ndr1_0
            & c0_1(a529) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c3_1(X6)
                | c0_1(X6) ) )
          | hskp6
          | hskp18 )
        & ( hskp21
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c0_1(X9)
                | ~ c3_1(X9) ) )
          | hskp17 )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c2_1(X57)
                | ~ c1_1(X57) ) )
          | hskp4
          | hskp18 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp12
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp1
          | hskp18
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c1_1(X64)
                | ~ c0_1(X64) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c0_1(X83)
                | c2_1(X83) ) )
          | hskp5
          | hskp12 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c0_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c0_1(X33)
                | c2_1(X33) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c1_1(X41)
                | c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | ~ c0_1(X43) ) ) )
        & ( hskp9
          | hskp29
          | hskp15 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) )
          | hskp6
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c0_1(X2)
                | c2_1(X2) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c1_1(X36)
                | ~ c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c2_1(X37)
                | ~ c3_1(X37) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | c2_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp6 )
        & ( ( ndr1_0
            & c1_1(a519)
            & ~ c0_1(a519)
            & ~ c2_1(a519) )
          | ~ hskp22 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c1_1(X75)
                | ~ c0_1(X75) ) )
          | hskp18
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c2_1(X76)
                | ~ c0_1(X76) ) ) )
        & ( hskp0
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp25
          | hskp3
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c3_1(X68)
                | ~ c0_1(X68) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c3_1(X8)
                | ~ c2_1(X8) ) )
          | hskp10
          | hskp24 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c0_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a465)
            & ~ c1_1(a465)
            & c3_1(a465) ) )
        & ( ( ~ c0_1(a478)
            & ~ c3_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( hskp8
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c1_1(X20)
                | ~ c3_1(X20) ) )
          | hskp17 )
        & ( hskp1
          | hskp30
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp25
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c0_1(X100) ) )
          | hskp14 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c1_1(X11)
                | c0_1(X11) ) )
          | hskp5 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | hskp2
          | hskp1 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | hskp13
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c0_1(X90)
                | c3_1(X90) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp4
          | ( ~ c1_1(a466)
            & ~ c3_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a479)
            & c0_1(a479)
            & ~ c1_1(a479) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c1_1(X67)
                | ~ c2_1(X67) ) )
          | hskp2
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c1_1(X66)
                | c2_1(X66) ) ) )
        & ( hskp12
          | hskp3
          | hskp29 )
        & ( ~ hskp15
          | ( c0_1(a484)
            & ~ c3_1(a484)
            & ndr1_0
            & c2_1(a484) ) )
        & ( ( ~ c2_1(a525)
            & c0_1(a525)
            & c1_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( hskp6
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) ) )
        & ( hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | ~ c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c2_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( ( ~ c0_1(a493)
            & ndr1_0
            & c3_1(a493)
            & c2_1(a493) )
          | ~ hskp17 )
        & ( hskp6
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c0_1(X63)
                | ~ c2_1(X63) ) )
          | hskp18 )
        & ( hskp21
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | hskp20 )
        & ( ( ndr1_0
            & ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545) )
          | ~ hskp25 )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c3_1(a506)
            & c1_1(a506)
            & c2_1(a506) ) )
        & ( ~ hskp29
          | ( c2_1(a474)
            & ndr1_0
            & c1_1(a474)
            & c0_1(a474) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c3_1(X113)
                | ~ c2_1(X113) ) )
          | hskp10
          | hskp24 )
        & ( ~ hskp16
          | ( ~ c1_1(a487)
            & c0_1(a487)
            & ~ c2_1(a487)
            & ndr1_0 ) )
        & ( hskp21
          | hskp17
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c0_1(X110)
                | ~ c2_1(X110) ) )
          | hskp14
          | hskp10 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c0_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c3_1(X7)
                | c1_1(X7) ) )
          | hskp5 )
        & ( ( ~ c1_1(a470)
            & ndr1_0
            & ~ c0_1(a470)
            & ~ c2_1(a470) )
          | ~ hskp6 )
        & ( hskp4
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | hskp3 )
        & ( hskp30
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c1_1(X79)
                | c3_1(X79) ) )
          | hskp21 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | ~ c2_1(X62) ) )
          | hskp7
          | hskp17 )
        & ( ( ~ c1_1(a507)
            & ndr1_0
            & c2_1(a507)
            & ~ c0_1(a507) )
          | ~ hskp21 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c3_1(X105)
                | ~ c2_1(X105) ) )
          | hskp7
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c2_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp17
          | hskp8
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) ) )
        & ( ~ hskp13
          | ( c3_1(a482)
            & ~ c1_1(a482)
            & ~ c2_1(a482)
            & ndr1_0 ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c2_1(X93)
                | c3_1(X93) ) )
          | hskp9
          | hskp23 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c2_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c3_1(X57)
                | c2_1(X57) ) ) )
        & ( hskp20
          | hskp22
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c2_1(X92)
                | c3_1(X92) ) ) )
        & ( hskp5
          | hskp23
          | hskp3 )
        & ( hskp1
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp4
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) )
          | hskp6 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c0_1(X20)
                | ~ c3_1(X20) ) )
          | hskp28 )
        & ( ~ hskp28
          | ( c2_1(a469)
            & c0_1(a469)
            & ndr1_0
            & c3_1(a469) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp16
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c3_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c0_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c0_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | ~ c1_1(X6)
                | c2_1(X6) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c3_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c3_1(X59)
                | ~ c2_1(X59) ) ) )
        & ( ~ hskp31
          | ( c1_1(a529)
            & c3_1(a529)
            & ndr1_0
            & c0_1(a529) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c0_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | ~ c1_1(X40)
                | c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c2_1(X41)
                | c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a464)
            & c3_1(a464)
            & ~ c0_1(a464) )
          | ~ hskp2 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) )
          | hskp31
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) ) )
        & ( hskp14
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp13
          | hskp8
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c3_1(X103)
                | ~ c1_1(X103) ) )
          | hskp31 )
        & ( ( ~ c2_1(a500)
            & ~ c3_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) ) )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c3_1(X26)
                | ~ c1_1(X26) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | ~ c2_1(X1)
                | c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) ) )
        & ( hskp4
          | hskp18
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp11
          | hskp9
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c2_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c3_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( ( ndr1_0
            & c3_1(a488)
            & c2_1(a488)
            & c1_1(a488) )
          | ~ hskp30 )
        & ( hskp16
          | hskp26
          | hskp13 )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) ) )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( ( c3_1(a471)
            & ~ c2_1(a471)
            & ndr1_0
            & c0_1(a471) )
          | ~ hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( ( ~ c2_1(a576)
            & ~ c3_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | hskp1
          | hskp18 )
        & ( ( ~ c0_1(a521)
            & ndr1_0
            & ~ c2_1(a521)
            & ~ c3_1(a521) )
          | ~ hskp23 )
        & ( hskp0
          | hskp10
          | hskp30 )
        & ( ( c3_1(a477)
            & c2_1(a477)
            & ~ c1_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a465)
            & ~ c1_1(a465)
            & c3_1(a465) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c3_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp10 )
        & ( ( ~ c2_1(a472)
            & ndr1_0
            & c3_1(a472)
            & c1_1(a472) )
          | ~ hskp8 )
        & ( ~ hskp14
          | ( c2_1(a483)
            & c1_1(a483)
            & ndr1_0
            & ~ c0_1(a483) ) )
        & ( hskp30
          | hskp12
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | ~ c1_1(X101) ) ) )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & ndr1_0
            & c1_1(a481) )
          | ~ hskp12 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c3_1(X115)
                | ~ c2_1(X115) ) )
          | hskp3
          | hskp25 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c1_1(X86) ) )
          | hskp0
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c2_1(X85)
                | c3_1(X85) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c0_1(X15)
                | c1_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c0_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( hskp7
          | hskp8
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ( c1_1(a559)
            & ndr1_0
            & ~ c3_1(a559)
            & c0_1(a559) )
          | ~ hskp26 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | ~ c2_1(X83) ) )
          | hskp18 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) )
          | hskp29
          | hskp0 )
        & ( hskp1
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c0_1(X47)
                | c3_1(X47) ) )
          | hskp15 )
        & ( ~ hskp0
          | ( ndr1_0
            & c0_1(a462)
            & c2_1(a462)
            & ~ c1_1(a462) ) )
        & ( hskp18
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp2
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c1_1(X75)
                | ~ c0_1(X75) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp17
          | hskp18 )
        & ( hskp12
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c0_1(X39)
                | c2_1(X39) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c3_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c1_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | c3_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp25
          | hskp0
          | hskp14 )
        & ( hskp5
          | hskp17
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | c2_1(X96) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c2_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c2_1(X80)
                | ~ c0_1(X80) ) )
          | hskp12 )
        & ( hskp13
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c1_1(X44)
                | ~ c2_1(X44) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp24
          | hskp8 )
        & ( hskp13
          | hskp1
          | hskp22 )
        & ( ~ hskp5
          | ( c0_1(a467)
            & ndr1_0
            & ~ c3_1(a467)
            & ~ c1_1(a467) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c0_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c3_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c1_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( hskp9
          | hskp29
          | hskp15 )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) ) )
        & ( ( ~ c0_1(a478)
            & ~ c3_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ~ hskp18
          | ( ~ c3_1(a494)
            & ndr1_0
            & ~ c2_1(a494)
            & c0_1(a494) ) )
        & ( hskp14
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c3_1(X114)
                | ~ c0_1(X114) ) )
          | hskp25 )
        & ( hskp2
          | hskp23
          | hskp26 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | ~ c0_1(X53) ) )
          | hskp5
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) ) )
        & ( hskp2
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | hskp1 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | c0_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c0_1(X32)
                | c2_1(X32) ) )
          | hskp29 )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c1_1(a463)
            & c2_1(a463)
            & ~ c3_1(a463) ) )
        & ( hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c1_1(X34)
                | c2_1(X34) ) ) )
        & ( hskp19
          | hskp10
          | hskp31 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | hskp9
          | hskp17 )
        & ( ( ndr1_0
            & c1_1(a519)
            & ~ c0_1(a519)
            & ~ c2_1(a519) )
          | ~ hskp22 )
        & ( hskp16
          | hskp7
          | ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c2_1(X48)
                | c3_1(X48) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c0_1(X11)
                | ~ c3_1(X11) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ~ hskp4
        | ( ~ c1_1(a466)
          & ~ c3_1(a466)
          & ~ c0_1(a466)
          & ndr1_0 ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a479)
          & c0_1(a479)
          & ~ c1_1(a479) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | c1_1(X67)
              | ~ c2_1(X67) ) )
        | hskp2
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c1_1(X66)
              | c2_1(X66) ) ) )
      & ( hskp12
        | hskp3
        | hskp29 )
      & ( ~ hskp15
        | ( c0_1(a484)
          & ~ c3_1(a484)
          & ndr1_0
          & c2_1(a484) ) )
      & ( ( ~ c2_1(a525)
          & c0_1(a525)
          & c1_1(a525)
          & ndr1_0 )
        | ~ hskp24 )
      & ( hskp6
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) ) )
      & ( hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | ~ c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c2_1(X94)
              | ~ c1_1(X94) ) ) )
      & ( ( ~ c0_1(a493)
          & ndr1_0
          & c3_1(a493)
          & c2_1(a493) )
        | ~ hskp17 )
      & ( hskp6
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c0_1(X63)
              | ~ c2_1(X63) ) )
        | hskp18 )
      & ( hskp21
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | hskp20 )
      & ( ( ndr1_0
          & ~ c0_1(a545)
          & c3_1(a545)
          & c1_1(a545) )
        | ~ hskp25 )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c3_1(a506)
          & c1_1(a506)
          & c2_1(a506) ) )
      & ( ~ hskp29
        | ( c2_1(a474)
          & ndr1_0
          & c1_1(a474)
          & c0_1(a474) ) )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c3_1(X113)
              | ~ c2_1(X113) ) )
        | hskp10
        | hskp24 )
      & ( ~ hskp16
        | ( ~ c1_1(a487)
          & c0_1(a487)
          & ~ c2_1(a487)
          & ndr1_0 ) )
      & ( hskp21
        | hskp17
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c0_1(X110)
              | ~ c2_1(X110) ) )
        | hskp14
        | hskp10 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c0_1(X8)
              | ~ c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c3_1(X7)
              | c1_1(X7) ) )
        | hskp5 )
      & ( ( ~ c1_1(a470)
          & ndr1_0
          & ~ c0_1(a470)
          & ~ c2_1(a470) )
        | ~ hskp6 )
      & ( hskp4
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | hskp3 )
      & ( hskp30
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c1_1(X79)
              | c3_1(X79) ) )
        | hskp21 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c3_1(X62)
              | ~ c2_1(X62) ) )
        | hskp7
        | hskp17 )
      & ( ( ~ c1_1(a507)
          & ndr1_0
          & c2_1(a507)
          & ~ c0_1(a507) )
        | ~ hskp21 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) ) )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c3_1(X105)
              | ~ c2_1(X105) ) )
        | hskp7
        | ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c2_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( hskp17
        | hskp8
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c2_1(X116)
              | ~ c3_1(X116) ) ) )
      & ( ~ hskp13
        | ( c3_1(a482)
          & ~ c1_1(a482)
          & ~ c2_1(a482)
          & ndr1_0 ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c2_1(X93)
              | c3_1(X93) ) )
        | hskp9
        | hskp23 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | c3_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c2_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c3_1(X57)
              | c2_1(X57) ) ) )
      & ( hskp20
        | hskp22
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c2_1(X92)
              | c3_1(X92) ) ) )
      & ( hskp5
        | hskp23
        | hskp3 )
      & ( hskp1
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp4
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c2_1(X112)
              | ~ c0_1(X112) ) )
        | hskp6 )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c2_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c0_1(X20)
              | ~ c3_1(X20) ) )
        | hskp28 )
      & ( ~ hskp28
        | ( c2_1(a469)
          & c0_1(a469)
          & ndr1_0
          & c3_1(a469) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | hskp16
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c3_1(X54)
              | ~ c1_1(X54) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c0_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c0_1(X5)
              | ~ c1_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | ~ c1_1(X6)
              | c2_1(X6) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c3_1(X61)
              | ~ c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c3_1(X59)
              | ~ c2_1(X59) ) ) )
      & ( ~ hskp31
        | ( c1_1(a529)
          & c3_1(a529)
          & ndr1_0
          & c0_1(a529) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c3_1(X14)
              | c2_1(X14) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c0_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | ~ c1_1(X40)
              | c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | ~ c2_1(X41)
              | c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a464)
          & c3_1(a464)
          & ~ c0_1(a464) )
        | ~ hskp2 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) )
        | hskp31
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) ) )
      & ( hskp14
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp13
        | hskp8
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c2_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | c3_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c3_1(X103)
              | ~ c1_1(X103) ) )
        | hskp31 )
      & ( ( ~ c2_1(a500)
          & ~ c3_1(a500)
          & c1_1(a500)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) ) )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c3_1(X26)
              | ~ c1_1(X26) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c0_1(X1)
              | ~ c2_1(X1)
              | c3_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) ) )
      & ( hskp4
        | hskp18
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp11
        | hskp9
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c1_1(X91) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c2_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c3_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( ( ndr1_0
          & c3_1(a488)
          & c2_1(a488)
          & c1_1(a488) )
        | ~ hskp30 )
      & ( hskp16
        | hskp26
        | hskp13 )
      & ( hskp5
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) ) )
      & ( hskp27
        | hskp8
        | hskp7 )
      & ( ( c3_1(a471)
          & ~ c2_1(a471)
          & ndr1_0
          & c0_1(a471) )
        | ~ hskp7 )
      & ( hskp9
        | hskp12
        | hskp11 )
      & ( ( ~ c2_1(a576)
          & ~ c3_1(a576)
          & ~ c1_1(a576)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) )
        | hskp1
        | hskp18 )
      & ( ( ~ c0_1(a521)
          & ndr1_0
          & ~ c2_1(a521)
          & ~ c3_1(a521) )
        | ~ hskp23 )
      & ( hskp0
        | hskp10
        | hskp30 )
      & ( ( c3_1(a477)
          & c2_1(a477)
          & ~ c1_1(a477)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a465)
          & ~ c1_1(a465)
          & c3_1(a465) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c3_1(X35)
              | c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | hskp10 )
      & ( ( ~ c2_1(a472)
          & ndr1_0
          & c3_1(a472)
          & c1_1(a472) )
        | ~ hskp8 )
      & ( ~ hskp14
        | ( c2_1(a483)
          & c1_1(a483)
          & ndr1_0
          & ~ c0_1(a483) ) )
      & ( hskp30
        | hskp12
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | ~ c1_1(X101) ) ) )
      & ( ( ~ c3_1(a481)
          & ~ c0_1(a481)
          & ndr1_0
          & c1_1(a481) )
        | ~ hskp12 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c3_1(X115)
              | ~ c2_1(X115) ) )
        | hskp3
        | hskp25 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c1_1(X86) ) )
        | hskp0
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c2_1(X85)
              | c3_1(X85) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c0_1(X15)
              | c1_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c0_1(X16)
              | ~ c1_1(X16) ) ) )
      & ( hskp7
        | hskp8
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ( c1_1(a559)
          & ndr1_0
          & ~ c3_1(a559)
          & c0_1(a559) )
        | ~ hskp26 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | ~ c2_1(X83) ) )
        | hskp18 )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) )
        | hskp29
        | hskp0 )
      & ( hskp1
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c0_1(X47)
              | c3_1(X47) ) )
        | hskp15 )
      & ( ~ hskp0
        | ( ndr1_0
          & c0_1(a462)
          & c2_1(a462)
          & ~ c1_1(a462) ) )
      & ( hskp18
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c0_1(X76)
              | ~ c3_1(X76) ) )
        | hskp2
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | c1_1(X75)
              | ~ c0_1(X75) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) )
        | hskp17
        | hskp18 )
      & ( hskp12
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c0_1(X39)
              | c2_1(X39) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c3_1(X24)
              | ~ c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c1_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | c3_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp25
        | hskp0
        | hskp14 )
      & ( hskp5
        | hskp17
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c3_1(X96)
              | c2_1(X96) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c2_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c2_1(X80)
              | ~ c0_1(X80) ) )
        | hskp12 )
      & ( hskp13
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c1_1(X44)
              | ~ c2_1(X44) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp24
        | hskp8 )
      & ( hskp13
        | hskp1
        | hskp22 )
      & ( ~ hskp5
        | ( c0_1(a467)
          & ndr1_0
          & ~ c3_1(a467)
          & ~ c1_1(a467) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c0_1(X37)
              | c2_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c3_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c1_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | ~ c1_1(X74) ) ) )
      & ( hskp9
        | hskp29
        | hskp15 )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | c3_1(X64) ) ) )
      & ( ( ~ c0_1(a478)
          & ~ c3_1(a478)
          & c2_1(a478)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ~ hskp18
        | ( ~ c3_1(a494)
          & ndr1_0
          & ~ c2_1(a494)
          & c0_1(a494) ) )
      & ( hskp14
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c3_1(X114)
              | ~ c0_1(X114) ) )
        | hskp25 )
      & ( hskp2
        | hskp23
        | hskp26 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | ~ c0_1(X53) ) )
        | hskp5
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) ) )
      & ( hskp2
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | c1_1(X2) ) )
        | hskp1 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | c0_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | ~ c0_1(X32)
              | c2_1(X32) ) )
        | hskp29 )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c1_1(a463)
          & c2_1(a463)
          & ~ c3_1(a463) ) )
      & ( hskp9
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c1_1(X34)
              | c2_1(X34) ) ) )
      & ( hskp19
        | hskp10
        | hskp31 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c0_1(X50)
              | c1_1(X50) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) )
        | hskp9
        | hskp17 )
      & ( ( ndr1_0
          & c1_1(a519)
          & ~ c0_1(a519)
          & ~ c2_1(a519) )
        | ~ hskp22 )
      & ( hskp16
        | hskp7
        | ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c2_1(X48)
              | c3_1(X48) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c0_1(X11)
              | ~ c3_1(X11) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1067,plain,
    ( spl0_61
    | spl0_16
    | ~ spl0_7
    | spl0_51 ),
    inference(avatar_split_clause,[],[f24,f473,f282,f322,f516]) ).

fof(f516,plain,
    ( spl0_61
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f322,plain,
    ( spl0_16
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f282,plain,
    ( spl0_7
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f24,plain,
    ! [X105] :
      ( ~ c0_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0
      | hskp4
      | hskp6
      | ~ c1_1(X105) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1066,plain,
    ( ~ spl0_160
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f84,f477,f1063]) ).

fof(f477,plain,
    ( spl0_52
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f84,plain,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1051,plain,
    ( ~ spl0_7
    | spl0_17
    | spl0_74
    | spl0_91 ),
    inference(avatar_split_clause,[],[f218,f659,f580,f326,f282]) ).

fof(f580,plain,
    ( spl0_74
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f218,plain,
    ! [X28,X27] :
      ( ~ c0_1(X28)
      | hskp0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c2_1(X28)
      | c3_1(X28)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X28,X27] :
      ( c1_1(X27)
      | c2_1(X27)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | c0_1(X27)
      | ~ ndr1_0
      | c3_1(X28)
      | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1049,plain,
    ( ~ spl0_85
    | spl0_157 ),
    inference(avatar_split_clause,[],[f132,f1046,f632]) ).

fof(f632,plain,
    ( spl0_85
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f132,plain,
    ( c0_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1044,plain,
    ( ~ spl0_7
    | spl0_72
    | spl0_24
    | spl0_134 ),
    inference(avatar_split_clause,[],[f189,f905,f358,f570,f282]) ).

fof(f570,plain,
    ( spl0_72
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f358,plain,
    ( spl0_24
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f189,plain,
    ! [X12] :
      ( ~ c2_1(X12)
      | hskp15
      | hskp1
      | c0_1(X12)
      | ~ ndr1_0
      | c3_1(X12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1038,plain,
    ( spl0_61
    | spl0_28
    | spl0_75
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f63,f282,f585,f375,f516]) ).

fof(f375,plain,
    ( spl0_28
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f63,plain,
    ! [X87] :
      ( ~ ndr1_0
      | c0_1(X87)
      | hskp18
      | ~ c2_1(X87)
      | hskp6
      | ~ c3_1(X87) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1037,plain,
    ( ~ spl0_7
    | spl0_45
    | spl0_14
    | spl0_105 ),
    inference(avatar_split_clause,[],[f28,f733,f314,f449,f282]) ).

fof(f449,plain,
    ( spl0_45
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f28,plain,
    ! [X99] :
      ( hskp24
      | ~ c2_1(X99)
      | hskp10
      | ~ c0_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1031,plain,
    ( spl0_22
    | spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f127,f264,f305,f348]) ).

fof(f348,plain,
    ( spl0_22
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f305,plain,
    ( spl0_12
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f264,plain,
    ( spl0_3
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f127,plain,
    ( hskp7
    | hskp8
    | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1030,plain,
    ( ~ spl0_122
    | spl0_154 ),
    inference(avatar_split_clause,[],[f62,f1027,f826]) ).

fof(f826,plain,
    ( spl0_122
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f62,plain,
    ( c3_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1025,plain,
    ( spl0_122
    | spl0_52
    | spl0_85 ),
    inference(avatar_split_clause,[],[f45,f632,f477,f826]) ).

fof(f45,plain,
    ( hskp16
    | hskp26
    | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1024,plain,
    ( ~ spl0_45
    | spl0_7 ),
    inference(avatar_split_clause,[],[f198,f282,f449]) ).

fof(f198,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1023,plain,
    ( spl0_153
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f94,f390,f1020]) ).

fof(f390,plain,
    ( spl0_31
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f94,plain,
    ( ~ hskp11
    | c3_1(a479) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1015,plain,
    ( ~ spl0_152
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f91,f348,f1012]) ).

fof(f91,plain,
    ( ~ hskp27
    | ~ c2_1(a576) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1009,plain,
    ( spl0_151
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f106,f530,f1006]) ).

fof(f530,plain,
    ( spl0_64
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f106,plain,
    ( ~ hskp17
    | c3_1(a493) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f998,plain,
    ( ~ spl0_149
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f37,f436,f995]) ).

fof(f436,plain,
    ( spl0_42
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f37,plain,
    ( ~ hskp21
    | ~ c1_1(a507) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f992,plain,
    ( ~ spl0_148
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f61,f826,f989]) ).

fof(f61,plain,
    ( ~ hskp13
    | ~ c1_1(a482) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f985,plain,
    ( spl0_147
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f102,f339,f982]) ).

fof(f339,plain,
    ( spl0_20
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f102,plain,
    ( ~ hskp19
    | c1_1(a500) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( ~ spl0_7
    | spl0_89
    | spl0_51
    | spl0_75 ),
    inference(avatar_split_clause,[],[f221,f585,f473,f652,f282]) ).

fof(f221,plain,
    ! [X72,X73,X71] :
      ( ~ c3_1(X72)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | ~ c2_1(X72)
      | c0_1(X72)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X71) ),
    inference(duplicate_literal_removal,[],[f96]) ).

fof(f96,plain,
    ! [X72,X73,X71] :
      ( ~ c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X71)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X71)
      | ~ c1_1(X73) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f978,plain,
    ( spl0_122
    | ~ spl0_7
    | spl0_36
    | spl0_86 ),
    inference(avatar_split_clause,[],[f222,f638,f409,f282,f826]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | hskp13
      | c0_1(X1) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( hskp13
      | c3_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f976,plain,
    ( spl0_55
    | spl0_62
    | spl0_49
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f223,f282,f466,f520,f490]) ).

fof(f490,plain,
    ( spl0_55
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f223,plain,
    ! [X86,X85] :
      ( ~ ndr1_0
      | c0_1(X86)
      | c2_1(X85)
      | c3_1(X86)
      | c1_1(X86)
      | ~ c1_1(X85)
      | c0_1(X85)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f69,plain,
    ! [X86,X85] :
      ( c0_1(X86)
      | c3_1(X86)
      | hskp5
      | ~ c1_1(X85)
      | c1_1(X86)
      | c0_1(X85)
      | ~ ndr1_0
      | c2_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f973,plain,
    ( ~ spl0_9
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f110,f970,f291]) ).

fof(f291,plain,
    ( spl0_9
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f110,plain,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f968,plain,
    ( ~ spl0_2
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f168,f965,f259]) ).

fof(f259,plain,
    ( spl0_2
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f168,plain,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f958,plain,
    ( spl0_74
    | spl0_62
    | spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f56,f282,f296,f520,f580]) ).

fof(f296,plain,
    ( spl0_10
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f56,plain,
    ! [X91] :
      ( ~ ndr1_0
      | hskp29
      | c0_1(X91)
      | ~ c1_1(X91)
      | hskp0
      | c2_1(X91) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f957,plain,
    ( spl0_29
    | spl0_35
    | spl0_31 ),
    inference(avatar_split_clause,[],[f100,f390,f405,f380]) ).

fof(f380,plain,
    ( spl0_29
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f405,plain,
    ( spl0_35
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f100,plain,
    ( hskp11
    | hskp12
    | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f955,plain,
    ( ~ spl0_64
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f108,f952,f530]) ).

fof(f108,plain,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f950,plain,
    ( ~ spl0_12
    | spl0_142 ),
    inference(avatar_split_clause,[],[f176,f947,f305]) ).

fof(f176,plain,
    ( c3_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f945,plain,
    ( ~ spl0_72
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f187,f942,f570]) ).

fof(f187,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f935,plain,
    ( ~ spl0_122
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f60,f932,f826]) ).

fof(f60,plain,
    ( ~ c2_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f920,plain,
    ( ~ spl0_136
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f208,f405,f917]) ).

fof(f208,plain,
    ( ~ hskp12
    | ~ c3_1(a481) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f915,plain,
    ( ~ spl0_7
    | spl0_85
    | spl0_3
    | spl0_134 ),
    inference(avatar_split_clause,[],[f210,f905,f264,f632,f282]) ).

fof(f210,plain,
    ! [X2] :
      ( c3_1(X2)
      | hskp7
      | ~ c2_1(X2)
      | hskp16
      | c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( ~ spl0_135
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f201,f449,f909]) ).

fof(f201,plain,
    ( ~ hskp10
    | ~ c0_1(a478) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f903,plain,
    ( ~ spl0_28
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f31,f900,f375]) ).

fof(f31,plain,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f898,plain,
    ( ~ spl0_35
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f207,f895,f405]) ).

fof(f207,plain,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f893,plain,
    ( ~ spl0_131
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f74,f322,f890]) ).

fof(f74,plain,
    ( ~ hskp4
    | ~ c3_1(a466) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f883,plain,
    ( spl0_76
    | spl0_39
    | spl0_35
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f81,f282,f405,f422,f588]) ).

fof(f422,plain,
    ( spl0_39
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f81,plain,
    ! [X77] :
      ( ~ ndr1_0
      | hskp12
      | hskp30
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | c3_1(X77) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f882,plain,
    ( spl0_59
    | spl0_51
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f226,f282,f473,f509]) ).

fof(f226,plain,
    ! [X50,X49] :
      ( ~ ndr1_0
      | ~ c0_1(X50)
      | ~ c1_1(X50)
      | ~ c0_1(X49)
      | ~ c2_1(X50)
      | c2_1(X49)
      | c3_1(X49) ),
    inference(duplicate_literal_removal,[],[f128]) ).

fof(f128,plain,
    ! [X50,X49] :
      ( c3_1(X49)
      | ~ c0_1(X49)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c0_1(X50)
      | c2_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f881,plain,
    ( ~ spl0_22
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f90,f878,f348]) ).

fof(f90,plain,
    ( ~ c3_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f875,plain,
    ( spl0_9
    | spl0_54
    | spl0_77
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f227,f282,f591,f486,f291]) ).

fof(f227,plain,
    ! [X40,X41] :
      ( ~ ndr1_0
      | c3_1(X41)
      | c1_1(X41)
      | c3_1(X40)
      | c2_1(X40)
      | c2_1(X41)
      | ~ c1_1(X40)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X40,X41] :
      ( c3_1(X40)
      | c2_1(X41)
      | c3_1(X41)
      | c2_1(X40)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X40)
      | c1_1(X41)
      | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f874,plain,
    ( ~ spl0_7
    | spl0_103
    | spl0_27 ),
    inference(avatar_split_clause,[],[f228,f372,f724,f282]) ).

fof(f228,plain,
    ! [X3,X4] :
      ( ~ c0_1(X3)
      | ~ c2_1(X4)
      | c0_1(X4)
      | c2_1(X3)
      | c1_1(X3)
      | ~ c1_1(X4)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,plain,
    ! [X3,X4] :
      ( c2_1(X3)
      | c0_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | ~ c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f873,plain,
    ( spl0_55
    | spl0_35
    | spl0_33
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f55,f282,f397,f405,f490]) ).

fof(f55,plain,
    ! [X92] :
      ( ~ ndr1_0
      | c2_1(X92)
      | hskp12
      | ~ c3_1(X92)
      | c0_1(X92)
      | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f864,plain,
    ( ~ spl0_127
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f73,f322,f861]) ).

fof(f73,plain,
    ( ~ hskp4
    | ~ c0_1(a466) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f858,plain,
    ( spl0_126
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f86,f477,f855]) ).

fof(f86,plain,
    ( ~ hskp26
    | c1_1(a559) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f850,plain,
    ( ~ spl0_125
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f181,f490,f847]) ).

fof(f181,plain,
    ( ~ hskp5
    | ~ c3_1(a467) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f845,plain,
    ( spl0_124
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f139,f733,f842]) ).

fof(f139,plain,
    ( ~ hskp24
    | c1_1(a525) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f839,plain,
    ( ~ spl0_7
    | spl0_14
    | spl0_32
    | spl0_76 ),
    inference(avatar_split_clause,[],[f230,f588,f394,f314,f282]) ).

fof(f230,plain,
    ! [X10,X11,X9] :
      ( c3_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X10)
      | ~ c0_1(X11)
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | ~ c3_1(X11)
      | ~ c0_1(X9) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X10,X11,X9] :
      ( ~ ndr1_0
      | ~ c0_1(X9)
      | ~ c3_1(X11)
      | ~ c1_1(X9)
      | ~ c1_1(X10)
      | c3_1(X9)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X11)
      | ~ c3_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f838,plain,
    ( ~ spl0_12
    | spl0_123 ),
    inference(avatar_split_clause,[],[f175,f835,f305]) ).

fof(f175,plain,
    ( c1_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f824,plain,
    ( spl0_2
    | spl0_60
    | spl0_77
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f231,f282,f591,f512,f259]) ).

fof(f231,plain,
    ! [X58,X59] :
      ( ~ ndr1_0
      | c3_1(X58)
      | c1_1(X59)
      | ~ c3_1(X59)
      | c1_1(X58)
      | hskp2
      | c2_1(X58)
      | ~ c2_1(X59) ),
    inference(duplicate_literal_removal,[],[f117]) ).

fof(f117,plain,
    ! [X58,X59] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X58)
      | c1_1(X58)
      | hskp2
      | c1_1(X59)
      | ~ c3_1(X59)
      | c3_1(X58)
      | ~ c2_1(X59) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f823,plain,
    ( spl0_121
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f93,f390,f820]) ).

fof(f93,plain,
    ( ~ hskp11
    | c0_1(a479) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f818,plain,
    ( ~ spl0_61
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f211,f815,f516]) ).

fof(f211,plain,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f813,plain,
    ( ~ spl0_10
    | spl0_119 ),
    inference(avatar_split_clause,[],[f152,f810,f296]) ).

fof(f152,plain,
    ( c2_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f803,plain,
    ( spl0_64
    | ~ spl0_7
    | spl0_29
    | spl0_27 ),
    inference(avatar_split_clause,[],[f11,f372,f380,f282,f530]) ).

fof(f11,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | hskp9
      | ~ ndr1_0
      | c2_1(X111)
      | hskp17
      | c1_1(X111) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f802,plain,
    ( ~ spl0_35
    | spl0_117 ),
    inference(avatar_split_clause,[],[f205,f799,f405]) ).

fof(f205,plain,
    ( c1_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f797,plain,
    ( ~ spl0_9
    | spl0_116 ),
    inference(avatar_split_clause,[],[f113,f794,f291]) ).

fof(f113,plain,
    ( c2_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f786,plain,
    ( ~ spl0_45
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f200,f783,f449]) ).

fof(f200,plain,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f781,plain,
    ( ~ spl0_7
    | spl0_85
    | spl0_32
    | spl0_50 ),
    inference(avatar_split_clause,[],[f232,f469,f394,f632,f282]) ).

fof(f232,plain,
    ! [X29,X30] :
      ( ~ c3_1(X29)
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | hskp16
      | c0_1(X29)
      | ~ ndr1_0
      | ~ c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X29,X30] :
      ( ~ c3_1(X30)
      | hskp16
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | ~ ndr1_0
      | c0_1(X29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f780,plain,
    ( spl0_113
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f158,f422,f777]) ).

fof(f158,plain,
    ( ~ hskp30
    | c1_1(a488) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f774,plain,
    ( ~ spl0_112
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f20,f580,f771]) ).

fof(f20,plain,
    ( ~ hskp0
    | ~ c1_1(a462) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f769,plain,
    ( spl0_111
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f22,f580,f766]) ).

fof(f22,plain,
    ( ~ hskp0
    | c0_1(a462) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f764,plain,
    ( spl0_20
    | spl0_45
    | spl0_19 ),
    inference(avatar_split_clause,[],[f129,f334,f449,f339]) ).

fof(f334,plain,
    ( spl0_19
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f129,plain,
    ( hskp31
    | hskp10
    | hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f763,plain,
    ( spl0_80
    | ~ spl0_7
    | spl0_86
    | spl0_62 ),
    inference(avatar_split_clause,[],[f234,f520,f638,f282,f606]) ).

fof(f234,plain,
    ! [X82,X83,X84] :
      ( c2_1(X82)
      | c3_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | c2_1(X83)
      | c0_1(X82)
      | c0_1(X84)
      | ~ c1_1(X82)
      | c0_1(X83)
      | c3_1(X83) ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f70,plain,
    ! [X82,X83,X84] :
      ( c2_1(X82)
      | ~ c1_1(X82)
      | c3_1(X84)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X83)
      | c0_1(X82)
      | c0_1(X84)
      | c2_1(X83)
      | ~ c1_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( spl0_90
    | spl0_77
    | ~ spl0_7
    | spl0_85 ),
    inference(avatar_split_clause,[],[f235,f632,f282,f591,f655]) ).

fof(f235,plain,
    ! [X16,X17] :
      ( hskp16
      | ~ ndr1_0
      | c2_1(X16)
      | c1_1(X17)
      | ~ c0_1(X17)
      | c3_1(X17)
      | c3_1(X16)
      | c1_1(X16) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X16,X17] :
      ( ~ ndr1_0
      | c3_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | hskp16
      | c1_1(X16)
      | c1_1(X17)
      | c3_1(X16)
      | c2_1(X16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f756,plain,
    ( ~ spl0_109
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f103,f339,f753]) ).

fof(f103,plain,
    ( ~ hskp19
    | ~ c3_1(a500) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f751,plain,
    ( ~ spl0_39
    | spl0_108 ),
    inference(avatar_split_clause,[],[f160,f748,f422]) ).

fof(f160,plain,
    ( c3_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f746,plain,
    ( ~ spl0_74
    | spl0_107 ),
    inference(avatar_split_clause,[],[f21,f743,f580]) ).

fof(f21,plain,
    ( c2_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f740,plain,
    ( ~ spl0_105
    | spl0_106 ),
    inference(avatar_split_clause,[],[f140,f737,f733]) ).

fof(f140,plain,
    ( c0_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f731,plain,
    ( ~ spl0_104
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f170,f259,f728]) ).

fof(f170,plain,
    ( ~ hskp2
    | ~ c2_1(a464) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f726,plain,
    ( ~ spl0_7
    | spl0_39
    | spl0_72
    | spl0_103 ),
    inference(avatar_split_clause,[],[f109,f724,f570,f422,f282]) ).

fof(f109,plain,
    ! [X66] :
      ( ~ c2_1(X66)
      | c0_1(X66)
      | hskp1
      | hskp30
      | ~ c1_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f717,plain,
    ( spl0_101
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f199,f449,f714]) ).

fof(f199,plain,
    ( ~ hskp10
    | c2_1(a478) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f712,plain,
    ( ~ spl0_100
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f131,f632,f709]) ).

fof(f131,plain,
    ( ~ hskp16
    | ~ c2_1(a487) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f699,plain,
    ( ~ spl0_7
    | spl0_62
    | spl0_49
    | spl0_54 ),
    inference(avatar_split_clause,[],[f237,f486,f466,f520,f282]) ).

fof(f237,plain,
    ! [X36,X34,X35] :
      ( c2_1(X36)
      | c0_1(X35)
      | c2_1(X34)
      | ~ c1_1(X34)
      | c3_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | c0_1(X34) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X36,X34,X35] :
      ( ~ ndr1_0
      | c2_1(X34)
      | c2_1(X36)
      | ~ ndr1_0
      | c1_1(X35)
      | c0_1(X34)
      | c3_1(X35)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c0_1(X35)
      | c3_1(X36)
      | ~ c1_1(X34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f698,plain,
    ( ~ spl0_29
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f14,f695,f380]) ).

fof(f14,plain,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( ~ spl0_55
    | spl0_97 ),
    inference(avatar_split_clause,[],[f183,f690,f490]) ).

fof(f183,plain,
    ( c0_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f688,plain,
    ( ~ spl0_72
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f185,f685,f570]) ).

fof(f185,plain,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f681,plain,
    ( ~ spl0_95
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f133,f632,f678]) ).

fof(f133,plain,
    ( ~ hskp16
    | ~ c1_1(a487) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f676,plain,
    ( spl0_94
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f79,f334,f673]) ).

fof(f79,plain,
    ( ~ hskp31
    | c1_1(a529) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f667,plain,
    ( spl0_92
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f147,f358,f664]) ).

fof(f147,plain,
    ( ~ hskp15
    | c0_1(a484) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f650,plain,
    ( ~ spl0_7
    | spl0_59
    | spl0_54
    | spl0_74 ),
    inference(avatar_split_clause,[],[f243,f580,f486,f509,f282]) ).

fof(f243,plain,
    ! [X94,X95] :
      ( hskp0
      | c3_1(X94)
      | c3_1(X95)
      | ~ c1_1(X94)
      | c2_1(X95)
      | ~ ndr1_0
      | ~ c0_1(X95)
      | c2_1(X94) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X94,X95] :
      ( ~ c0_1(X95)
      | hskp0
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X94)
      | ~ c1_1(X94)
      | c2_1(X95)
      | c3_1(X94)
      | c3_1(X95) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f643,plain,
    ( ~ spl0_7
    | spl0_86
    | spl0_87
    | spl0_43 ),
    inference(avatar_split_clause,[],[f244,f440,f641,f638,f282]) ).

fof(f244,plain,
    ! [X21,X22,X20] :
      ( c3_1(X20)
      | c1_1(X20)
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | ~ c2_1(X20)
      | ~ c1_1(X21)
      | ~ ndr1_0
      | c0_1(X21)
      | c3_1(X21)
      | c2_1(X22) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X21,X22,X20] :
      ( c3_1(X20)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | c2_1(X22)
      | c3_1(X21)
      | ~ c2_1(X20)
      | c0_1(X21)
      | c1_1(X20)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X21) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f630,plain,
    ( spl0_84
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f15,f380,f627]) ).

fof(f15,plain,
    ( ~ hskp9
    | c2_1(a477) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f624,plain,
    ( spl0_45
    | spl0_39
    | spl0_74 ),
    inference(avatar_split_clause,[],[f18,f580,f422,f449]) ).

fof(f18,plain,
    ( hskp0
    | hskp30
    | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f623,plain,
    ( ~ spl0_83
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f214,f516,f620]) ).

fof(f214,plain,
    ( ~ hskp6
    | ~ c1_1(a470) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f618,plain,
    ( spl0_82
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f35,f436,f615]) ).

fof(f35,plain,
    ( ~ hskp21
    | c2_1(a507) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f613,plain,
    ( ~ spl0_42
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f34,f610,f436]) ).

fof(f34,plain,
    ( ~ c0_1(a507)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f608,plain,
    ( spl0_3
    | spl0_12
    | spl0_80
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f38,f282,f606,f305,f264]) ).

fof(f38,plain,
    ! [X96] :
      ( ~ ndr1_0
      | c0_1(X96)
      | c3_1(X96)
      | c2_1(X96)
      | hskp8
      | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f604,plain,
    ( ~ spl0_39
    | spl0_79 ),
    inference(avatar_split_clause,[],[f159,f601,f422]) ).

fof(f159,plain,
    ( c2_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f598,plain,
    ( spl0_78
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f76,f334,f595]) ).

fof(f76,plain,
    ( ~ hskp31
    | c0_1(a529) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f583,plain,
    ( ~ spl0_74
    | spl0_7 ),
    inference(avatar_split_clause,[],[f23,f282,f580]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f578,plain,
    ( ~ spl0_73
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f89,f348,f575]) ).

fof(f89,plain,
    ( ~ hskp27
    | ~ c1_1(a576) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f573,plain,
    ( spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f186,f570,f566]) ).

fof(f186,plain,
    ( ~ hskp1
    | c2_1(a463) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f564,plain,
    ( ~ spl0_70
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f212,f516,f561]) ).

fof(f212,plain,
    ( ~ hskp6
    | ~ c0_1(a470) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f559,plain,
    ( ~ spl0_69
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f178,f305,f556]) ).

fof(f178,plain,
    ( ~ hskp8
    | ~ c2_1(a472) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f554,plain,
    ( spl0_68
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f105,f530,f551]) ).

fof(f105,plain,
    ( ~ hskp17
    | c2_1(a493) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f549,plain,
    ( spl0_67
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f16,f380,f546]) ).

fof(f16,plain,
    ( ~ hskp9
    | c3_1(a477) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f543,plain,
    ( ~ spl0_66
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f33,f375,f540]) ).

fof(f33,plain,
    ( ~ hskp18
    | ~ c3_1(a494) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f538,plain,
    ( ~ spl0_65
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f146,f358,f535]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c3_1(a484) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f528,plain,
    ( spl0_63
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f196,f264,f525]) ).

fof(f196,plain,
    ( ~ hskp7
    | c3_1(a471) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f514,plain,
    ( ~ spl0_7
    | spl0_58
    | spl0_59
    | spl0_60 ),
    inference(avatar_split_clause,[],[f247,f512,f509,f506,f282]) ).

fof(f247,plain,
    ! [X38,X39,X37] :
      ( c1_1(X39)
      | c3_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ c3_1(X39)
      | c0_1(X38)
      | c1_1(X38)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X38) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X38,X39,X37] :
      ( ~ ndr1_0
      | ~ c0_1(X37)
      | c0_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | ~ c2_1(X38)
      | c3_1(X37)
      | c1_1(X38)
      | c2_1(X37)
      | ~ c2_1(X39) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f503,plain,
    ( spl0_57
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f30,f375,f500]) ).

fof(f30,plain,
    ( ~ hskp18
    | c0_1(a494) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f498,plain,
    ( spl0_10
    | ~ spl0_7
    | spl0_27
    | spl0_33 ),
    inference(avatar_split_clause,[],[f248,f397,f372,f282,f296]) ).

fof(f248,plain,
    ! [X80,X81] :
      ( c0_1(X81)
      | c2_1(X80)
      | c2_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | c1_1(X80)
      | hskp29
      | ~ c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f71,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | ~ ndr1_0
      | c0_1(X81)
      | hskp29
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c3_1(X81) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f497,plain,
    ( ~ spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f180,f494,f490]) ).

fof(f180,plain,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f484,plain,
    ( ~ spl0_52
    | spl0_53 ),
    inference(avatar_split_clause,[],[f83,f481,f477]) ).

fof(f83,plain,
    ( c0_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f475,plain,
    ( spl0_28
    | ~ spl0_7
    | spl0_51
    | spl0_48 ),
    inference(avatar_split_clause,[],[f249,f463,f473,f282,f375]) ).

fof(f249,plain,
    ! [X113,X112] :
      ( ~ c3_1(X113)
      | ~ c0_1(X112)
      | ~ ndr1_0
      | ~ c2_1(X112)
      | ~ c1_1(X112)
      | hskp18
      | c1_1(X113)
      | ~ c0_1(X113) ),
    inference(duplicate_literal_removal,[],[f10]) ).

fof(f10,plain,
    ! [X113,X112] :
      ( ~ c3_1(X113)
      | ~ c2_1(X112)
      | ~ c0_1(X113)
      | ~ ndr1_0
      | ~ c0_1(X112)
      | hskp18
      | ~ c1_1(X112)
      | ~ ndr1_0
      | c1_1(X113) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f471,plain,
    ( ~ spl0_7
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f250,f469,f466,f463,f282]) ).

fof(f250,plain,
    ! [X44,X42,X43] :
      ( c0_1(X43)
      | ~ c1_1(X43)
      | c1_1(X44)
      | ~ c3_1(X42)
      | ~ c3_1(X43)
      | c0_1(X44)
      | ~ ndr1_0
      | c3_1(X44)
      | ~ c0_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X44,X42,X43] :
      ( c3_1(X44)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | c0_1(X43)
      | c0_1(X44)
      | ~ c0_1(X42)
      | ~ c3_1(X42)
      | c1_1(X42) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f461,plain,
    ( ~ spl0_47
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f92,f390,f458]) ).

fof(f92,plain,
    ( ~ hskp11
    | ~ c1_1(a479) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f455,plain,
    ( ~ spl0_7
    | spl0_45
    | spl0_46
    | spl0_33 ),
    inference(avatar_split_clause,[],[f251,f397,f453,f449,f282]) ).

fof(f251,plain,
    ! [X70,X69] :
      ( c2_1(X70)
      | ~ c3_1(X70)
      | ~ c1_1(X69)
      | hskp10
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X69)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f97]) ).

fof(f97,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ ndr1_0
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X69)
      | c2_1(X70)
      | ~ c3_1(X70)
      | c2_1(X69)
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f442,plain,
    ( ~ spl0_7
    | spl0_42
    | spl0_39
    | spl0_43 ),
    inference(avatar_split_clause,[],[f191,f440,f422,f436,f282]) ).

fof(f191,plain,
    ! [X8] :
      ( c1_1(X8)
      | c3_1(X8)
      | hskp30
      | ~ c2_1(X8)
      | hskp21
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f425,plain,
    ( spl0_7
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f161,f422,f282]) ).

fof(f161,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f411,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_7
    | spl0_36 ),
    inference(avatar_split_clause,[],[f252,f409,f282,f405,f402]) ).

fof(f252,plain,
    ! [X51,X52] :
      ( ~ c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | hskp12
      | ~ c0_1(X51)
      | ~ c3_1(X52)
      | ~ c0_1(X52)
      | c2_1(X52) ),
    inference(duplicate_literal_removal,[],[f126]) ).

fof(f126,plain,
    ! [X51,X52] :
      ( ~ c3_1(X52)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X52)
      | c2_1(X52)
      | ~ c0_1(X51)
      | hskp12
      | c1_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f399,plain,
    ( spl0_31
    | spl0_32
    | spl0_33
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f253,f282,f397,f394,f390]) ).

fof(f253,plain,
    ! [X98,X97] :
      ( ~ ndr1_0
      | c2_1(X97)
      | c0_1(X97)
      | ~ c3_1(X98)
      | hskp11
      | ~ c3_1(X97)
      | ~ c2_1(X98)
      | ~ c1_1(X98) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ! [X98,X97] :
      ( ~ c1_1(X98)
      | c2_1(X97)
      | c0_1(X97)
      | ~ c2_1(X98)
      | ~ c3_1(X98)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp11
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f388,plain,
    ( ~ spl0_30
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f75,f322,f385]) ).

fof(f75,plain,
    ( ~ hskp4
    | ~ c1_1(a466) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f378,plain,
    ( spl0_20
    | spl0_27
    | spl0_28
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f162,f282,f375,f372,f339]) ).

fof(f162,plain,
    ! [X31] :
      ( ~ ndr1_0
      | hskp18
      | ~ c0_1(X31)
      | hskp19
      | c2_1(X31)
      | c1_1(X31) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f370,plain,
    ( spl0_26
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f150,f296,f367]) ).

fof(f150,plain,
    ( ~ hskp29
    | c1_1(a474) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f365,plain,
    ( ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f144,f362,f358]) ).

fof(f144,plain,
    ( c2_1(a484)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f356,plain,
    ( ~ spl0_23
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f195,f264,f353]) ).

fof(f195,plain,
    ( ~ hskp7
    | ~ c2_1(a471) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f346,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f104,f343,f339]) ).

fof(f104,plain,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f337,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f78,f334,f330]) ).

fof(f78,plain,
    ( ~ hskp31
    | c3_1(a529) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f303,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f149,f300,f296]) ).

fof(f149,plain,
    ( c0_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f294,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f112,f291,f287]) ).

fof(f112,plain,
    ( ~ hskp14
    | c1_1(a483) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f271,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f193,f268,f264]) ).

fof(f193,plain,
    ( c0_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f262,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f169,f259,f255]) ).

fof(f169,plain,
    ( ~ hskp2
    | c3_1(a464) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN505+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 22:03:15 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  % (2925)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (2931)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.52  % (2950)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.52  % (2948)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.52  % (2934)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.24/0.52  % (2935)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.24/0.52  % (2940)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.24/0.52  % (2950)Instruction limit reached!
% 1.24/0.52  % (2950)------------------------------
% 1.24/0.52  % (2950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53  % (2922)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.24/0.53  % (2950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53  % (2950)Termination reason: Unknown
% 1.24/0.53  % (2950)Termination phase: Saturation
% 1.24/0.53  
% 1.24/0.53  % (2950)Memory used [KB]: 6652
% 1.24/0.53  % (2950)Time elapsed: 0.007 s
% 1.24/0.53  % (2950)Instructions burned: 9 (million)
% 1.24/0.53  % (2950)------------------------------
% 1.24/0.53  % (2950)------------------------------
% 1.24/0.53  % (2924)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.24/0.53  % (2923)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.24/0.53  % (2940)Instruction limit reached!
% 1.24/0.53  % (2940)------------------------------
% 1.24/0.53  % (2940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53  % (2940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53  % (2940)Termination reason: Unknown
% 1.24/0.53  % (2940)Termination phase: shuffling
% 1.24/0.53  
% 1.24/0.53  % (2940)Memory used [KB]: 1663
% 1.24/0.53  % (2940)Time elapsed: 0.005 s
% 1.24/0.53  % (2940)Instructions burned: 3 (million)
% 1.24/0.53  % (2940)------------------------------
% 1.24/0.53  % (2940)------------------------------
% 1.24/0.53  % (2944)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.24/0.53  % (2924)Instruction limit reached!
% 1.24/0.53  % (2924)------------------------------
% 1.24/0.53  % (2924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53  % (2924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53  % (2924)Termination reason: Unknown
% 1.24/0.53  % (2924)Termination phase: Preprocessing 3
% 1.24/0.53  
% 1.24/0.53  % (2924)Memory used [KB]: 1791
% 1.24/0.53  % (2924)Time elapsed: 0.003 s
% 1.24/0.53  % (2924)Instructions burned: 4 (million)
% 1.24/0.53  % (2924)------------------------------
% 1.24/0.53  % (2924)------------------------------
% 1.24/0.54  % (2943)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.54  % (2949)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.24/0.54  % (2927)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.24/0.54  % (2926)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.24/0.54  % (2936)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.24/0.54  % (2934)Instruction limit reached!
% 1.24/0.54  % (2934)------------------------------
% 1.24/0.54  % (2934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.54  % (2934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.54  % (2934)Termination reason: Unknown
% 1.24/0.54  % (2934)Termination phase: Saturation
% 1.24/0.54  
% 1.24/0.54  % (2934)Memory used [KB]: 2046
% 1.24/0.54  % (2934)Time elapsed: 0.135 s
% 1.24/0.54  % (2934)Instructions burned: 17 (million)
% 1.24/0.54  % (2934)------------------------------
% 1.24/0.54  % (2934)------------------------------
% 1.24/0.54  % (2945)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.24/0.54  % (2936)Instruction limit reached!
% 1.24/0.54  % (2936)------------------------------
% 1.24/0.54  % (2936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.54  % (2936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.54  % (2936)Termination reason: Unknown
% 1.24/0.54  % (2936)Termination phase: Preprocessing 3
% 1.24/0.54  
% 1.24/0.54  % (2936)Memory used [KB]: 1791
% 1.24/0.54  % (2936)Time elapsed: 0.003 s
% 1.24/0.54  % (2936)Instructions burned: 4 (million)
% 1.24/0.54  % (2936)------------------------------
% 1.24/0.54  % (2936)------------------------------
% 1.24/0.54  % (2941)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.24/0.54  % (2933)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.55  % (2933)Instruction limit reached!
% 1.44/0.55  % (2933)------------------------------
% 1.44/0.55  % (2933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (2933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (2933)Termination reason: Unknown
% 1.44/0.55  % (2933)Termination phase: Saturation
% 1.44/0.55  
% 1.44/0.55  % (2933)Memory used [KB]: 6396
% 1.44/0.55  % (2933)Time elapsed: 0.005 s
% 1.44/0.55  % (2933)Instructions burned: 7 (million)
% 1.44/0.55  % (2933)------------------------------
% 1.44/0.55  % (2933)------------------------------
% 1.44/0.55  % (2937)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.55  % (2942)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.44/0.55  % (2937)Instruction limit reached!
% 1.44/0.55  % (2937)------------------------------
% 1.44/0.55  % (2937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (2937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (2937)Termination reason: Unknown
% 1.44/0.55  % (2937)Termination phase: Saturation
% 1.44/0.55  
% 1.44/0.55  % (2937)Memory used [KB]: 6524
% 1.44/0.55  % (2937)Time elapsed: 0.004 s
% 1.44/0.55  % (2937)Instructions burned: 7 (million)
% 1.44/0.55  % (2937)------------------------------
% 1.44/0.55  % (2937)------------------------------
% 1.44/0.55  % (2946)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.55  % (2932)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.44/0.55  % (2928)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.55  % (2931)Instruction limit reached!
% 1.44/0.55  % (2931)------------------------------
% 1.44/0.55  % (2931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (2931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (2931)Termination reason: Unknown
% 1.44/0.55  % (2931)Termination phase: Saturation
% 1.44/0.55  
% 1.44/0.55  % (2931)Memory used [KB]: 7419
% 1.44/0.55  % (2931)Time elapsed: 0.144 s
% 1.44/0.55  % (2951)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.44/0.55  % (2931)Instructions burned: 33 (million)
% 1.44/0.55  % (2931)------------------------------
% 1.44/0.55  % (2931)------------------------------
% 1.44/0.55  % (2930)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.44/0.55  % (2938)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.56  % (2947)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.44/0.56  % (2923)Instruction limit reached!
% 1.44/0.56  % (2923)------------------------------
% 1.44/0.56  % (2923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56  % (2923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56  % (2923)Termination reason: Unknown
% 1.44/0.56  % (2923)Termination phase: Saturation
% 1.44/0.56  
% 1.44/0.56  % (2923)Memory used [KB]: 7036
% 1.44/0.56  % (2923)Time elapsed: 0.009 s
% 1.44/0.56  % (2923)Instructions burned: 14 (million)
% 1.44/0.56  % (2923)------------------------------
% 1.44/0.56  % (2923)------------------------------
% 1.44/0.56  % (2927)Instruction limit reached!
% 1.44/0.56  % (2927)------------------------------
% 1.44/0.56  % (2927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56  % (2927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56  % (2927)Termination reason: Unknown
% 1.44/0.56  % (2927)Termination phase: Saturation
% 1.44/0.56  
% 1.44/0.56  % (2927)Memory used [KB]: 2046
% 1.44/0.56  % (2927)Time elapsed: 0.138 s
% 1.44/0.56  % (2927)Instructions burned: 15 (million)
% 1.44/0.56  % (2927)------------------------------
% 1.44/0.56  % (2927)------------------------------
% 1.44/0.57  % (2926)Instruction limit reached!
% 1.44/0.57  % (2926)------------------------------
% 1.44/0.57  % (2926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57  % (2926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57  % (2926)Termination reason: Unknown
% 1.44/0.57  % (2926)Termination phase: Saturation
% 1.44/0.57  
% 1.44/0.57  % (2926)Memory used [KB]: 6908
% 1.44/0.57  % (2926)Time elapsed: 0.156 s
% 1.44/0.57  % (2926)Instructions burned: 14 (million)
% 1.44/0.57  % (2926)------------------------------
% 1.44/0.57  % (2926)------------------------------
% 1.44/0.57  % (2929)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.57  % (2941)Instruction limit reached!
% 1.44/0.57  % (2941)------------------------------
% 1.44/0.57  % (2941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57  % (2941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57  % (2941)Termination reason: Unknown
% 1.44/0.57  % (2941)Termination phase: Saturation
% 1.44/0.57  
% 1.44/0.57  % (2941)Memory used [KB]: 6908
% 1.44/0.57  % (2941)Time elapsed: 0.166 s
% 1.44/0.57  % (2941)Instructions burned: 11 (million)
% 1.44/0.57  % (2941)------------------------------
% 1.44/0.57  % (2941)------------------------------
% 1.44/0.57  % (2932)Instruction limit reached!
% 1.44/0.57  % (2932)------------------------------
% 1.44/0.57  % (2932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57  % (2932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57  % (2932)Termination reason: Unknown
% 1.44/0.57  % (2932)Termination phase: Saturation
% 1.44/0.57  
% 1.44/0.57  % (2932)Memory used [KB]: 6908
% 1.44/0.57  % (2932)Time elapsed: 0.166 s
% 1.44/0.57  % (2932)Instructions burned: 13 (million)
% 1.44/0.57  % (2932)------------------------------
% 1.44/0.57  % (2932)------------------------------
% 1.44/0.57  % (2939)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.57  % (2939)Instruction limit reached!
% 1.44/0.57  % (2939)------------------------------
% 1.44/0.57  % (2939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57  % (2939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57  % (2939)Termination reason: Unknown
% 1.44/0.57  % (2939)Termination phase: shuffling
% 1.44/0.57  
% 1.44/0.57  % (2939)Memory used [KB]: 1791
% 1.44/0.57  % (2939)Time elapsed: 0.004 s
% 1.44/0.57  % (2939)Instructions burned: 3 (million)
% 1.44/0.57  % (2939)------------------------------
% 1.44/0.57  % (2939)------------------------------
% 1.44/0.58  % (2951)Instruction limit reached!
% 1.44/0.58  % (2951)------------------------------
% 1.44/0.58  % (2951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58  % (2951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58  % (2951)Termination reason: Unknown
% 1.44/0.58  % (2951)Termination phase: Saturation
% 1.44/0.58  
% 1.44/0.58  % (2951)Memory used [KB]: 6780
% 1.44/0.58  % (2951)Time elapsed: 0.173 s
% 1.44/0.58  % (2951)Instructions burned: 25 (million)
% 1.44/0.58  % (2951)------------------------------
% 1.44/0.58  % (2951)------------------------------
% 1.44/0.58  % (2925)Instruction limit reached!
% 1.44/0.58  % (2925)------------------------------
% 1.44/0.58  % (2925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58  % (2925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58  % (2925)Termination reason: Unknown
% 1.44/0.58  % (2925)Termination phase: Saturation
% 1.44/0.58  
% 1.44/0.58  % (2925)Memory used [KB]: 7675
% 1.44/0.58  % (2925)Time elapsed: 0.149 s
% 1.44/0.58  % (2925)Instructions burned: 51 (million)
% 1.44/0.58  % (2925)------------------------------
% 1.44/0.58  % (2925)------------------------------
% 1.44/0.58  % (2949)Instruction limit reached!
% 1.44/0.58  % (2949)------------------------------
% 1.44/0.58  % (2949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58  % (2949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58  % (2949)Termination reason: Unknown
% 1.44/0.58  % (2949)Termination phase: Saturation
% 1.44/0.58  
% 1.44/0.58  % (2949)Memory used [KB]: 7164
% 1.44/0.58  % (2949)Time elapsed: 0.166 s
% 1.44/0.58  % (2949)Instructions burned: 26 (million)
% 1.44/0.58  % (2949)------------------------------
% 1.44/0.58  % (2949)------------------------------
% 1.44/0.59  % (2944)First to succeed.
% 1.44/0.60  % (2942)Instruction limit reached!
% 1.44/0.60  % (2942)------------------------------
% 1.44/0.60  % (2942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.60  % (2942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.60  % (2942)Termination reason: Unknown
% 1.44/0.60  % (2942)Termination phase: Saturation
% 1.44/0.60  
% 1.44/0.60  % (2942)Memory used [KB]: 7164
% 1.44/0.60  % (2942)Time elapsed: 0.169 s
% 1.44/0.60  % (2942)Instructions burned: 30 (million)
% 1.44/0.60  % (2942)------------------------------
% 1.44/0.60  % (2942)------------------------------
% 1.44/0.62  % (2945)Instruction limit reached!
% 1.44/0.62  % (2945)------------------------------
% 1.44/0.62  % (2945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.62  % (2945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62  % (2945)Termination reason: Unknown
% 1.44/0.62  % (2945)Termination phase: Saturation
% 1.44/0.62  
% 1.44/0.62  % (2945)Memory used [KB]: 2174
% 1.44/0.62  % (2945)Time elapsed: 0.198 s
% 1.44/0.62  % (2945)Instructions burned: 45 (million)
% 1.44/0.62  % (2945)------------------------------
% 1.44/0.62  % (2945)------------------------------
% 1.44/0.62  % (2935)Instruction limit reached!
% 1.44/0.62  % (2935)------------------------------
% 1.44/0.62  % (2935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.62  % (2935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62  % (2935)Termination reason: Unknown
% 1.44/0.62  % (2935)Termination phase: Saturation
% 1.44/0.62  
% 1.44/0.62  % (2935)Memory used [KB]: 7803
% 1.44/0.62  % (2935)Time elapsed: 0.214 s
% 1.44/0.62  % (2935)Instructions burned: 51 (million)
% 1.44/0.62  % (2935)------------------------------
% 1.44/0.62  % (2935)------------------------------
% 1.44/0.63  % (2928)Instruction limit reached!
% 1.44/0.63  % (2928)------------------------------
% 1.44/0.63  % (2928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.63  % (2928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.63  % (2928)Termination reason: Unknown
% 1.44/0.63  % (2928)Termination phase: Saturation
% 1.44/0.63  
% 1.44/0.63  % (2928)Memory used [KB]: 7291
% 1.44/0.63  % (2928)Time elapsed: 0.184 s
% 1.44/0.63  % (2928)Instructions burned: 40 (million)
% 1.44/0.63  % (2928)------------------------------
% 1.44/0.63  % (2928)------------------------------
% 1.44/0.63  % (2946)Instruction limit reached!
% 1.44/0.63  % (2946)------------------------------
% 1.44/0.63  % (2946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.63  % (2946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.63  % (2946)Termination reason: Unknown
% 1.44/0.63  % (2930)Instruction limit reached!
% 1.44/0.63  % (2930)------------------------------
% 1.44/0.63  % (2930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.63  % (2946)Termination phase: Saturation
% 1.44/0.63  
% 1.44/0.63  % (2930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.63  % (2946)Memory used [KB]: 7419
% 1.44/0.63  % (2930)Termination reason: Unknown
% 1.44/0.63  % (2946)Time elapsed: 0.231 s
% 1.44/0.63  % (2930)Termination phase: Saturation
% 1.44/0.63  
% 1.44/0.63  % (2946)Instructions burned: 50 (million)
% 1.44/0.63  % (2946)------------------------------
% 1.44/0.63  % (2946)------------------------------
% 1.44/0.63  % (2930)Memory used [KB]: 7675
% 1.44/0.63  % (2930)Time elapsed: 0.210 s
% 1.44/0.63  % (2930)Instructions burned: 50 (million)
% 1.44/0.63  % (2930)------------------------------
% 1.44/0.63  % (2930)------------------------------
% 1.95/0.63  % (2938)Instruction limit reached!
% 1.95/0.63  % (2938)------------------------------
% 1.95/0.63  % (2938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63  % (2938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63  % (2938)Termination reason: Unknown
% 1.95/0.63  % (2938)Termination phase: Saturation
% 1.95/0.63  
% 1.95/0.63  % (2938)Memory used [KB]: 7419
% 1.95/0.63  % (2938)Time elapsed: 0.231 s
% 1.95/0.63  % (2938)Instructions burned: 50 (million)
% 1.95/0.63  % (2938)------------------------------
% 1.95/0.63  % (2938)------------------------------
% 1.95/0.64  % (2929)Instruction limit reached!
% 1.95/0.64  % (2929)------------------------------
% 1.95/0.64  % (2929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.64  % (2929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.64  % (2929)Termination reason: Unknown
% 1.95/0.64  % (2929)Termination phase: Saturation
% 1.95/0.64  
% 1.95/0.64  % (2929)Memory used [KB]: 7547
% 1.95/0.64  % (2929)Time elapsed: 0.221 s
% 1.95/0.64  % (2929)Instructions burned: 40 (million)
% 1.95/0.64  % (2929)------------------------------
% 1.95/0.64  % (2929)------------------------------
% 1.95/0.65  % (2948)Also succeeded, but the first one will report.
% 1.95/0.65  % (2944)Refutation found. Thanks to Tanya!
% 1.95/0.65  % SZS status Theorem for theBenchmark
% 1.95/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.65  % (2944)------------------------------
% 1.95/0.65  % (2944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.65  % (2944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.65  % (2944)Termination reason: Refutation
% 1.95/0.65  
% 1.95/0.65  % (2944)Memory used [KB]: 8315
% 1.95/0.65  % (2944)Time elapsed: 0.139 s
% 1.95/0.65  % (2944)Instructions burned: 41 (million)
% 1.95/0.65  % (2944)------------------------------
% 1.95/0.65  % (2944)------------------------------
% 1.95/0.65  % (2921)Success in time 0.281 s
%------------------------------------------------------------------------------