TSTP Solution File: SYN489+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN489+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 19:27:15 EDT 2022

% Result   : Theorem 2.02s 0.66s
% Output   : Refutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  161
% Syntax   : Number of formulae    :  705 (   1 unt;   0 def)
%            Number of atoms       : 7609 (   0 equ)
%            Maximal formula atoms :  749 (  10 avg)
%            Number of connectives : 10369 (3465   ~;4839   |;1421   &)
%                                         ( 160 <=>; 484  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  198 ( 197 usr; 194 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   : 1031 (1031   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2294,plain,
    $false,
    inference(avatar_sat_refutation,[],[f272,f287,f296,f305,f314,f334,f343,f353,f367,f374,f384,f398,f408,f417,f429,f433,f442,f446,f455,f469,f478,f483,f502,f511,f520,f525,f540,f554,f564,f569,f581,f592,f597,f601,f610,f616,f622,f632,f637,f642,f647,f667,f673,f678,f684,f685,f690,f691,f705,f710,f715,f722,f736,f741,f746,f755,f760,f765,f766,f767,f768,f770,f780,f791,f792,f797,f800,f805,f811,f817,f822,f825,f830,f835,f836,f841,f842,f848,f849,f854,f859,f864,f866,f867,f872,f878,f885,f886,f891,f892,f893,f898,f903,f908,f914,f915,f923,f924,f926,f931,f933,f944,f955,f960,f966,f969,f974,f979,f985,f986,f987,f992,f997,f1008,f1014,f1019,f1034,f1039,f1045,f1050,f1052,f1057,f1064,f1070,f1093,f1155,f1190,f1193,f1195,f1200,f1215,f1229,f1263,f1277,f1280,f1295,f1303,f1304,f1349,f1376,f1413,f1448,f1458,f1459,f1467,f1471,f1492,f1497,f1532,f1545,f1560,f1576,f1586,f1587,f1590,f1612,f1614,f1615,f1636,f1650,f1664,f1676,f1682,f1709,f1713,f1718,f1741,f1754,f1755,f1758,f1761,f1800,f1803,f1804,f1817,f1820,f1834,f1843,f1856,f1883,f1895,f1896,f1897,f1901,f1902,f1903,f1915,f1949,f1960,f1961,f1983,f1993,f1994,f2015,f2063,f2073,f2099,f2122,f2123,f2127,f2130,f2133,f2175,f2183,f2227,f2230,f2233,f2248,f2251,f2253,f2255,f2256,f2270,f2280,f2288,f2289]) ).

fof(f2289,plain,
    ( ~ spl0_170
    | ~ spl0_126
    | ~ spl0_104
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2282,f976,f728,f856,f1164]) ).

fof(f1164,plain,
    ( spl0_170
  <=> c1_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f856,plain,
    ( spl0_126
  <=> c0_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f728,plain,
    ( spl0_104
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | ~ c3_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f976,plain,
    ( spl0_145
  <=> c3_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2282,plain,
    ( ~ c0_1(a2601)
    | ~ c1_1(a2601)
    | ~ spl0_104
    | ~ spl0_145 ),
    inference(resolution,[],[f978,f729]) ).

fof(f729,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | ~ c1_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f978,plain,
    ( c3_1(a2601)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f2288,plain,
    ( spl0_100
    | spl0_170
    | ~ spl0_7
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2286,f976,f282,f1164,f702]) ).

fof(f702,plain,
    ( spl0_100
  <=> c2_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f282,plain,
    ( spl0_7
  <=> ! [X48] :
        ( c1_1(X48)
        | c2_1(X48)
        | ~ c3_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2286,plain,
    ( c1_1(a2601)
    | c2_1(a2601)
    | ~ spl0_7
    | ~ spl0_145 ),
    inference(resolution,[],[f978,f283]) ).

fof(f283,plain,
    ( ! [X48] :
        ( ~ c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f2280,plain,
    ( ~ spl0_142
    | ~ spl0_180
    | ~ spl0_82
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2260,f728,f607,f1381,f957]) ).

fof(f957,plain,
    ( spl0_142
  <=> c1_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1381,plain,
    ( spl0_180
  <=> c0_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f607,plain,
    ( spl0_82
  <=> c3_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2260,plain,
    ( ~ c0_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_82
    | ~ spl0_104 ),
    inference(resolution,[],[f729,f609]) ).

fof(f609,plain,
    ( c3_1(a2524)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f2270,plain,
    ( ~ spl0_13
    | ~ spl0_54
    | ~ spl0_104
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2264,f1075,f728,f480,f307]) ).

fof(f307,plain,
    ( spl0_13
  <=> c0_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f480,plain,
    ( spl0_54
  <=> c1_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1075,plain,
    ( spl0_162
  <=> c3_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2264,plain,
    ( ~ c1_1(a2551)
    | ~ c0_1(a2551)
    | ~ spl0_104
    | ~ spl0_162 ),
    inference(resolution,[],[f729,f1077]) ).

fof(f1077,plain,
    ( c3_1(a2551)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1075]) ).

fof(f2256,plain,
    ( ~ spl0_48
    | ~ spl0_182
    | ~ spl0_63
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2237,f719,f522,f1418,f452]) ).

fof(f452,plain,
    ( spl0_48
  <=> c0_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1418,plain,
    ( spl0_182
  <=> c1_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f522,plain,
    ( spl0_63
  <=> c2_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f719,plain,
    ( spl0_103
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2237,plain,
    ( ~ c1_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_63
    | ~ spl0_103 ),
    inference(resolution,[],[f720,f524]) ).

fof(f524,plain,
    ( c2_1(a2525)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f720,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f2255,plain,
    ( ~ spl0_175
    | ~ spl0_161
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2238,f719,f395,f1067,f1249]) ).

fof(f1249,plain,
    ( spl0_175
  <=> c0_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1067,plain,
    ( spl0_161
  <=> c1_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f395,plain,
    ( spl0_35
  <=> c2_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2238,plain,
    ( ~ c1_1(a2531)
    | ~ c0_1(a2531)
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(resolution,[],[f720,f397]) ).

fof(f397,plain,
    ( c2_1(a2531)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f2253,plain,
    ( ~ spl0_116
    | ~ spl0_53
    | ~ spl0_103
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2245,f777,f719,f475,f794]) ).

fof(f794,plain,
    ( spl0_116
  <=> c1_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f475,plain,
    ( spl0_53
  <=> c0_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f777,plain,
    ( spl0_113
  <=> c2_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2245,plain,
    ( ~ c0_1(a2558)
    | ~ c1_1(a2558)
    | ~ spl0_103
    | ~ spl0_113 ),
    inference(resolution,[],[f720,f779]) ).

fof(f779,plain,
    ( c2_1(a2558)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f2251,plain,
    ( ~ spl0_183
    | ~ spl0_120
    | ~ spl0_72
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2244,f719,f561,f819,f1540]) ).

fof(f1540,plain,
    ( spl0_183
  <=> c0_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f819,plain,
    ( spl0_120
  <=> c1_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f561,plain,
    ( spl0_72
  <=> c2_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2244,plain,
    ( ~ c1_1(a2556)
    | ~ c0_1(a2556)
    | ~ spl0_72
    | ~ spl0_103 ),
    inference(resolution,[],[f720,f563]) ).

fof(f563,plain,
    ( c2_1(a2556)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f2248,plain,
    ( ~ spl0_144
    | ~ spl0_174
    | ~ spl0_69
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2243,f719,f547,f1239,f971]) ).

fof(f971,plain,
    ( spl0_144
  <=> c0_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1239,plain,
    ( spl0_174
  <=> c1_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f547,plain,
    ( spl0_69
  <=> c2_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2243,plain,
    ( ~ c1_1(a2529)
    | ~ c0_1(a2529)
    | ~ spl0_69
    | ~ spl0_103 ),
    inference(resolution,[],[f720,f549]) ).

fof(f549,plain,
    ( c2_1(a2529)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f2233,plain,
    ( ~ spl0_183
    | ~ spl0_72
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2219,f713,f302,f561,f1540]) ).

fof(f302,plain,
    ( spl0_12
  <=> c3_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f713,plain,
    ( spl0_102
  <=> ! [X79] :
        ( ~ c2_1(X79)
        | ~ c0_1(X79)
        | ~ c3_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2219,plain,
    ( ~ c2_1(a2556)
    | ~ c0_1(a2556)
    | ~ spl0_12
    | ~ spl0_102 ),
    inference(resolution,[],[f714,f304]) ).

fof(f304,plain,
    ( c3_1(a2556)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f714,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | ~ c0_1(X79)
        | ~ c2_1(X79) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f2230,plain,
    ( ~ spl0_53
    | ~ spl0_113
    | ~ spl0_102
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2220,f1102,f713,f777,f475]) ).

fof(f1102,plain,
    ( spl0_165
  <=> c3_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2220,plain,
    ( ~ c2_1(a2558)
    | ~ c0_1(a2558)
    | ~ spl0_102
    | ~ spl0_165 ),
    inference(resolution,[],[f714,f1104]) ).

fof(f1104,plain,
    ( c3_1(a2558)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f2227,plain,
    ( ~ spl0_69
    | ~ spl0_144
    | ~ spl0_102
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2218,f905,f713,f971,f547]) ).

fof(f905,plain,
    ( spl0_134
  <=> c3_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2218,plain,
    ( ~ c0_1(a2529)
    | ~ c2_1(a2529)
    | ~ spl0_102
    | ~ spl0_134 ),
    inference(resolution,[],[f714,f907]) ).

fof(f907,plain,
    ( c3_1(a2529)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f2183,plain,
    ( spl0_186
    | spl0_105
    | ~ spl0_64
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2163,f838,f527,f733,f1629]) ).

fof(f1629,plain,
    ( spl0_186
  <=> c1_1(a2522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f733,plain,
    ( spl0_105
  <=> c0_1(a2522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f527,plain,
    ( spl0_64
  <=> ! [X76] :
        ( c0_1(X76)
        | c1_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f838,plain,
    ( spl0_123
  <=> c2_1(a2522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2163,plain,
    ( c0_1(a2522)
    | c1_1(a2522)
    | ~ spl0_64
    | ~ spl0_123 ),
    inference(resolution,[],[f528,f840]) ).

fof(f840,plain,
    ( c2_1(a2522)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f528,plain,
    ( ! [X76] :
        ( ~ c2_1(X76)
        | c1_1(X76)
        | c0_1(X76) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f2175,plain,
    ( spl0_86
    | spl0_169
    | ~ spl0_64
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2167,f952,f527,f1141,f629]) ).

fof(f629,plain,
    ( spl0_86
  <=> c1_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1141,plain,
    ( spl0_169
  <=> c0_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f952,plain,
    ( spl0_141
  <=> c2_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2167,plain,
    ( c0_1(a2552)
    | c1_1(a2552)
    | ~ spl0_64
    | ~ spl0_141 ),
    inference(resolution,[],[f528,f954]) ).

fof(f954,plain,
    ( c2_1(a2552)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f2133,plain,
    ( spl0_127
    | spl0_162
    | ~ spl0_18
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2114,f480,f329,f1075,f861]) ).

fof(f861,plain,
    ( spl0_127
  <=> c2_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f329,plain,
    ( spl0_18
  <=> ! [X110] :
        ( c3_1(X110)
        | ~ c1_1(X110)
        | c2_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2114,plain,
    ( c3_1(a2551)
    | c2_1(a2551)
    | ~ spl0_18
    | ~ spl0_54 ),
    inference(resolution,[],[f330,f482]) ).

fof(f482,plain,
    ( c1_1(a2551)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f330,plain,
    ( ! [X110] :
        ( ~ c1_1(X110)
        | c2_1(X110)
        | c3_1(X110) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f2130,plain,
    ( spl0_110
    | spl0_173
    | ~ spl0_18
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2107,f808,f329,f1226,f757]) ).

fof(f757,plain,
    ( spl0_110
  <=> c3_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1226,plain,
    ( spl0_173
  <=> c2_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f808,plain,
    ( spl0_118
  <=> c1_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2107,plain,
    ( c2_1(a2518)
    | c3_1(a2518)
    | ~ spl0_18
    | ~ spl0_118 ),
    inference(resolution,[],[f330,f810]) ).

fof(f810,plain,
    ( c1_1(a2518)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f2127,plain,
    ( spl0_119
    | spl0_188
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2108,f364,f329,f1730,f814]) ).

fof(f814,plain,
    ( spl0_119
  <=> c3_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1730,plain,
    ( spl0_188
  <=> c2_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f364,plain,
    ( spl0_27
  <=> c1_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2108,plain,
    ( c2_1(a2523)
    | c3_1(a2523)
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(resolution,[],[f330,f366]) ).

fof(f366,plain,
    ( c1_1(a2523)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f2123,plain,
    ( spl0_163
    | spl0_94
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f2112,f329,f293,f670,f1080]) ).

fof(f1080,plain,
    ( spl0_163
  <=> c3_1(a2534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f670,plain,
    ( spl0_94
  <=> c2_1(a2534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f293,plain,
    ( spl0_10
  <=> c1_1(a2534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2112,plain,
    ( c2_1(a2534)
    | c3_1(a2534)
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(resolution,[],[f330,f295]) ).

fof(f295,plain,
    ( c1_1(a2534)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f2122,plain,
    ( spl0_93
    | spl0_146
    | ~ spl0_18
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2115,f827,f329,f982,f664]) ).

fof(f664,plain,
    ( spl0_93
  <=> c3_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f982,plain,
    ( spl0_146
  <=> c2_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f827,plain,
    ( spl0_121
  <=> c1_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2115,plain,
    ( c2_1(a2614)
    | c3_1(a2614)
    | ~ spl0_18
    | ~ spl0_121 ),
    inference(resolution,[],[f330,f829]) ).

fof(f829,plain,
    ( c1_1(a2614)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f2099,plain,
    ( spl0_187
    | spl0_130
    | ~ spl0_7
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2086,f707,f282,f882,f1691]) ).

fof(f1691,plain,
    ( spl0_187
  <=> c2_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f882,plain,
    ( spl0_130
  <=> c1_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f707,plain,
    ( spl0_101
  <=> c3_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2086,plain,
    ( c1_1(a2548)
    | c2_1(a2548)
    | ~ spl0_7
    | ~ spl0_101 ),
    inference(resolution,[],[f283,f709]) ).

fof(f709,plain,
    ( c3_1(a2548)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f2073,plain,
    ( ~ spl0_53
    | spl0_165
    | ~ spl0_41
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2047,f794,f424,f1102,f475]) ).

fof(f424,plain,
    ( spl0_41
  <=> ! [X104] :
        ( c3_1(X104)
        | ~ c0_1(X104)
        | ~ c1_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2047,plain,
    ( c3_1(a2558)
    | ~ c0_1(a2558)
    | ~ spl0_41
    | ~ spl0_116 ),
    inference(resolution,[],[f425,f796]) ).

fof(f796,plain,
    ( c1_1(a2558)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f425,plain,
    ( ! [X104] :
        ( ~ c1_1(X104)
        | c3_1(X104)
        | ~ c0_1(X104) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f2063,plain,
    ( ~ spl0_157
    | spl0_119
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2032,f424,f364,f814,f1042]) ).

fof(f1042,plain,
    ( spl0_157
  <=> c0_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2032,plain,
    ( c3_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(resolution,[],[f425,f366]) ).

fof(f2015,plain,
    ( ~ spl0_185
    | spl0_50
    | ~ spl0_23
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2007,f1036,f348,f462,f1598]) ).

fof(f1598,plain,
    ( spl0_185
  <=> c0_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f462,plain,
    ( spl0_50
  <=> c1_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f348,plain,
    ( spl0_23
  <=> ! [X102] :
        ( ~ c3_1(X102)
        | ~ c0_1(X102)
        | c1_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1036,plain,
    ( spl0_156
  <=> c3_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2007,plain,
    ( c1_1(a2541)
    | ~ c0_1(a2541)
    | ~ spl0_23
    | ~ spl0_156 ),
    inference(resolution,[],[f349,f1038]) ).

fof(f1038,plain,
    ( c3_1(a2541)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f349,plain,
    ( ! [X102] :
        ( ~ c3_1(X102)
        | ~ c0_1(X102)
        | c1_1(X102) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1994,plain,
    ( spl0_143
    | spl0_94
    | ~ spl0_8
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1971,f1080,f285,f670,f963]) ).

fof(f963,plain,
    ( spl0_143
  <=> c0_1(a2534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f285,plain,
    ( spl0_8
  <=> ! [X49] :
        ( c2_1(X49)
        | c0_1(X49)
        | ~ c3_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1971,plain,
    ( c2_1(a2534)
    | c0_1(a2534)
    | ~ spl0_8
    | ~ spl0_163 ),
    inference(resolution,[],[f286,f1082]) ).

fof(f1082,plain,
    ( c3_1(a2534)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f286,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | c2_1(X49) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f1993,plain,
    ( spl0_83
    | spl0_184
    | ~ spl0_8
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1969,f989,f285,f1556,f613]) ).

fof(f613,plain,
    ( spl0_83
  <=> c0_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1556,plain,
    ( spl0_184
  <=> c2_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f989,plain,
    ( spl0_147
  <=> c3_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1969,plain,
    ( c2_1(a2528)
    | c0_1(a2528)
    | ~ spl0_8
    | ~ spl0_147 ),
    inference(resolution,[],[f286,f991]) ).

fof(f991,plain,
    ( c3_1(a2528)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f1983,plain,
    ( spl0_128
    | spl0_185
    | ~ spl0_8
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1974,f1036,f285,f1598,f869]) ).

fof(f869,plain,
    ( spl0_128
  <=> c2_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1974,plain,
    ( c0_1(a2541)
    | c2_1(a2541)
    | ~ spl0_8
    | ~ spl0_156 ),
    inference(resolution,[],[f286,f1038]) ).

fof(f1961,plain,
    ( spl0_117
    | spl0_131
    | ~ spl0_62
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1957,f1197,f518,f888,f802]) ).

fof(f802,plain,
    ( spl0_117
  <=> c3_1(a2533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f888,plain,
    ( spl0_131
  <=> c2_1(a2533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f518,plain,
    ( spl0_62
  <=> ! [X80] :
        ( c3_1(X80)
        | ~ c0_1(X80)
        | c2_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1197,plain,
    ( spl0_172
  <=> c0_1(a2533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1957,plain,
    ( c2_1(a2533)
    | c3_1(a2533)
    | ~ spl0_62
    | ~ spl0_172 ),
    inference(resolution,[],[f1199,f519]) ).

fof(f519,plain,
    ( ! [X80] :
        ( ~ c0_1(X80)
        | c2_1(X80)
        | c3_1(X80) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1199,plain,
    ( c0_1(a2533)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1960,plain,
    ( spl0_88
    | spl0_131
    | ~ spl0_32
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1956,f1197,f382,f888,f639]) ).

fof(f639,plain,
    ( spl0_88
  <=> c1_1(a2533) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f382,plain,
    ( spl0_32
  <=> ! [X69] :
        ( c1_1(X69)
        | c2_1(X69)
        | ~ c0_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1956,plain,
    ( c2_1(a2533)
    | c1_1(a2533)
    | ~ spl0_32
    | ~ spl0_172 ),
    inference(resolution,[],[f1199,f383]) ).

fof(f383,plain,
    ( ! [X69] :
        ( ~ c0_1(X69)
        | c1_1(X69)
        | c2_1(X69) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1949,plain,
    ( ~ spl0_169
    | spl0_86
    | ~ spl0_29
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1948,f952,f372,f629,f1141]) ).

fof(f372,plain,
    ( spl0_29
  <=> ! [X23] :
        ( ~ c2_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1948,plain,
    ( c1_1(a2552)
    | ~ c0_1(a2552)
    | ~ spl0_29
    | ~ spl0_141 ),
    inference(resolution,[],[f954,f373]) ).

fof(f373,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | ~ c0_1(X23)
        | c1_1(X23) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1915,plain,
    ( spl0_174
    | ~ spl0_144
    | ~ spl0_29
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1914,f547,f372,f971,f1239]) ).

fof(f1914,plain,
    ( ~ c0_1(a2529)
    | c1_1(a2529)
    | ~ spl0_29
    | ~ spl0_69 ),
    inference(resolution,[],[f549,f373]) ).

fof(f1903,plain,
    ( spl0_122
    | spl0_148
    | ~ spl0_4
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1899,f518,f269,f994,f832]) ).

fof(f832,plain,
    ( spl0_122
  <=> c3_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f994,plain,
    ( spl0_148
  <=> c2_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f269,plain,
    ( spl0_4
  <=> c0_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1899,plain,
    ( c2_1(a2540)
    | c3_1(a2540)
    | ~ spl0_4
    | ~ spl0_62 ),
    inference(resolution,[],[f271,f519]) ).

fof(f271,plain,
    ( c0_1(a2540)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f1902,plain,
    ( spl0_148
    | spl0_168
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1898,f382,f269,f1135,f994]) ).

fof(f1135,plain,
    ( spl0_168
  <=> c1_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1898,plain,
    ( c1_1(a2540)
    | c2_1(a2540)
    | ~ spl0_4
    | ~ spl0_32 ),
    inference(resolution,[],[f271,f383]) ).

fof(f1901,plain,
    ( spl0_122
    | spl0_168
    | ~ spl0_4
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1900,f571,f269,f1135,f832]) ).

fof(f571,plain,
    ( spl0_74
  <=> ! [X25] :
        ( c1_1(X25)
        | ~ c0_1(X25)
        | c3_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1900,plain,
    ( c1_1(a2540)
    | c3_1(a2540)
    | ~ spl0_4
    | ~ spl0_74 ),
    inference(resolution,[],[f271,f572]) ).

fof(f572,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c1_1(X25) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1897,plain,
    ( spl0_177
    | spl0_129
    | ~ spl0_36
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1894,f571,f401,f875,f1344]) ).

fof(f1344,plain,
    ( spl0_177
  <=> c3_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f875,plain,
    ( spl0_129
  <=> c1_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f401,plain,
    ( spl0_36
  <=> c0_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1894,plain,
    ( c1_1(a2564)
    | c3_1(a2564)
    | ~ spl0_36
    | ~ spl0_74 ),
    inference(resolution,[],[f403,f572]) ).

fof(f403,plain,
    ( c0_1(a2564)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f1896,plain,
    ( spl0_133
    | spl0_177
    | ~ spl0_36
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1893,f518,f401,f1344,f900]) ).

fof(f900,plain,
    ( spl0_133
  <=> c2_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1893,plain,
    ( c3_1(a2564)
    | c2_1(a2564)
    | ~ spl0_36
    | ~ spl0_62 ),
    inference(resolution,[],[f403,f519]) ).

fof(f1895,plain,
    ( spl0_129
    | spl0_133
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1892,f401,f382,f900,f875]) ).

fof(f1892,plain,
    ( c2_1(a2564)
    | c1_1(a2564)
    | ~ spl0_32
    | ~ spl0_36 ),
    inference(resolution,[],[f403,f383]) ).

fof(f1883,plain,
    ( ~ spl0_157
    | ~ spl0_27
    | ~ spl0_103
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1869,f1730,f719,f364,f1042]) ).

fof(f1869,plain,
    ( ~ c1_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_103
    | ~ spl0_188 ),
    inference(resolution,[],[f720,f1732]) ).

fof(f1732,plain,
    ( c2_1(a2523)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f1856,plain,
    ( ~ spl0_89
    | ~ spl0_187
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1853,f713,f707,f1691,f644]) ).

fof(f644,plain,
    ( spl0_89
  <=> c0_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1853,plain,
    ( ~ c2_1(a2548)
    | ~ c0_1(a2548)
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(resolution,[],[f714,f709]) ).

fof(f1843,plain,
    ( ~ spl0_142
    | spl0_132
    | ~ spl0_82
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1825,f694,f607,f895,f957]) ).

fof(f895,plain,
    ( spl0_132
  <=> c2_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f694,plain,
    ( spl0_98
  <=> ! [X98] :
        ( ~ c1_1(X98)
        | c2_1(X98)
        | ~ c3_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1825,plain,
    ( c2_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_82
    | ~ spl0_98 ),
    inference(resolution,[],[f695,f609]) ).

fof(f695,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c2_1(X98)
        | ~ c1_1(X98) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f1834,plain,
    ( ~ spl0_10
    | spl0_94
    | ~ spl0_98
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1828,f1080,f694,f670,f293]) ).

fof(f1828,plain,
    ( c2_1(a2534)
    | ~ c1_1(a2534)
    | ~ spl0_98
    | ~ spl0_163 ),
    inference(resolution,[],[f695,f1082]) ).

fof(f1820,plain,
    ( spl0_100
    | spl0_170
    | ~ spl0_32
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1814,f856,f382,f1164,f702]) ).

fof(f1814,plain,
    ( c1_1(a2601)
    | c2_1(a2601)
    | ~ spl0_32
    | ~ spl0_126 ),
    inference(resolution,[],[f383,f858]) ).

fof(f858,plain,
    ( c0_1(a2601)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f1817,plain,
    ( spl0_57
    | spl0_167
    | ~ spl0_32
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1813,f928,f382,f1130,f495]) ).

fof(f495,plain,
    ( spl0_57
  <=> c1_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1130,plain,
    ( spl0_167
  <=> c2_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f928,plain,
    ( spl0_137
  <=> c0_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1813,plain,
    ( c2_1(a2553)
    | c1_1(a2553)
    | ~ spl0_32
    | ~ spl0_137 ),
    inference(resolution,[],[f383,f930]) ).

fof(f930,plain,
    ( c0_1(a2553)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f1804,plain,
    ( spl0_127
    | ~ spl0_13
    | ~ spl0_54
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1785,f625,f480,f307,f861]) ).

fof(f625,plain,
    ( spl0_85
  <=> ! [X71] :
        ( ~ c0_1(X71)
        | ~ c1_1(X71)
        | c2_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1785,plain,
    ( ~ c0_1(a2551)
    | c2_1(a2551)
    | ~ spl0_54
    | ~ spl0_85 ),
    inference(resolution,[],[f626,f482]) ).

fof(f626,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | ~ c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f1803,plain,
    ( ~ spl0_126
    | spl0_100
    | ~ spl0_85
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1787,f1164,f625,f702,f856]) ).

fof(f1787,plain,
    ( c2_1(a2601)
    | ~ c0_1(a2601)
    | ~ spl0_85
    | ~ spl0_170 ),
    inference(resolution,[],[f626,f1166]) ).

fof(f1166,plain,
    ( c1_1(a2601)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1800,plain,
    ( ~ spl0_164
    | spl0_146
    | ~ spl0_85
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1788,f827,f625,f982,f1089]) ).

fof(f1089,plain,
    ( spl0_164
  <=> c0_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1788,plain,
    ( c2_1(a2614)
    | ~ c0_1(a2614)
    | ~ spl0_85
    | ~ spl0_121 ),
    inference(resolution,[],[f626,f829]) ).

fof(f1761,plain,
    ( spl0_111
    | ~ spl0_118
    | ~ spl0_80
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1743,f1226,f599,f808,f762]) ).

fof(f762,plain,
    ( spl0_111
  <=> c0_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f599,plain,
    ( spl0_80
  <=> ! [X36] :
        ( ~ c1_1(X36)
        | ~ c2_1(X36)
        | c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1743,plain,
    ( ~ c1_1(a2518)
    | c0_1(a2518)
    | ~ spl0_80
    | ~ spl0_173 ),
    inference(resolution,[],[f600,f1228]) ).

fof(f1228,plain,
    ( c2_1(a2518)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1226]) ).

fof(f600,plain,
    ( ! [X36] :
        ( ~ c2_1(X36)
        | ~ c1_1(X36)
        | c0_1(X36) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1758,plain,
    ( spl0_175
    | ~ spl0_161
    | ~ spl0_35
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1746,f599,f395,f1067,f1249]) ).

fof(f1746,plain,
    ( ~ c1_1(a2531)
    | c0_1(a2531)
    | ~ spl0_35
    | ~ spl0_80 ),
    inference(resolution,[],[f600,f397]) ).

fof(f1755,plain,
    ( spl0_183
    | ~ spl0_120
    | ~ spl0_72
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1751,f599,f561,f819,f1540]) ).

fof(f1751,plain,
    ( ~ c1_1(a2556)
    | c0_1(a2556)
    | ~ spl0_72
    | ~ spl0_80 ),
    inference(resolution,[],[f600,f563]) ).

fof(f1754,plain,
    ( spl0_76
    | ~ spl0_166
    | ~ spl0_80
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1742,f920,f599,f1115,f578]) ).

fof(f578,plain,
    ( spl0_76
  <=> c0_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1115,plain,
    ( spl0_166
  <=> c1_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f920,plain,
    ( spl0_136
  <=> c2_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1742,plain,
    ( ~ c1_1(a2517)
    | c0_1(a2517)
    | ~ spl0_80
    | ~ spl0_136 ),
    inference(resolution,[],[f600,f922]) ).

fof(f922,plain,
    ( c2_1(a2517)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f1741,plain,
    ( spl0_167
    | spl0_106
    | ~ spl0_62
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1726,f928,f518,f738,f1130]) ).

fof(f738,plain,
    ( spl0_106
  <=> c3_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1726,plain,
    ( c3_1(a2553)
    | c2_1(a2553)
    | ~ spl0_62
    | ~ spl0_137 ),
    inference(resolution,[],[f519,f930]) ).

fof(f1718,plain,
    ( spl0_57
    | ~ spl0_137
    | ~ spl0_29
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1705,f1130,f372,f928,f495]) ).

fof(f1705,plain,
    ( ~ c0_1(a2553)
    | c1_1(a2553)
    | ~ spl0_29
    | ~ spl0_167 ),
    inference(resolution,[],[f373,f1132]) ).

fof(f1132,plain,
    ( c2_1(a2553)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1713,plain,
    ( spl0_139
    | ~ spl0_135
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1706,f1031,f372,f911,f941]) ).

fof(f941,plain,
    ( spl0_139
  <=> c1_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f911,plain,
    ( spl0_135
  <=> c0_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1031,plain,
    ( spl0_155
  <=> c2_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1706,plain,
    ( ~ c0_1(a2555)
    | c1_1(a2555)
    | ~ spl0_29
    | ~ spl0_155 ),
    inference(resolution,[],[f373,f1033]) ).

fof(f1033,plain,
    ( c2_1(a2555)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1709,plain,
    ( spl0_182
    | ~ spl0_48
    | ~ spl0_29
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1701,f522,f372,f452,f1418]) ).

fof(f1701,plain,
    ( ~ c0_1(a2525)
    | c1_1(a2525)
    | ~ spl0_29
    | ~ spl0_63 ),
    inference(resolution,[],[f373,f524]) ).

fof(f1682,plain,
    ( spl0_128
    | spl0_50
    | ~ spl0_7
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1671,f1036,f282,f462,f869]) ).

fof(f1671,plain,
    ( c1_1(a2541)
    | c2_1(a2541)
    | ~ spl0_7
    | ~ spl0_156 ),
    inference(resolution,[],[f283,f1038]) ).

fof(f1676,plain,
    ( spl0_133
    | spl0_129
    | ~ spl0_7
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1673,f1344,f282,f875,f900]) ).

fof(f1673,plain,
    ( c1_1(a2564)
    | c2_1(a2564)
    | ~ spl0_7
    | ~ spl0_177 ),
    inference(resolution,[],[f283,f1346]) ).

fof(f1346,plain,
    ( c3_1(a2564)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1344]) ).

fof(f1664,plain,
    ( ~ spl0_135
    | spl0_139
    | ~ spl0_23
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1660,f1395,f348,f941,f911]) ).

fof(f1395,plain,
    ( spl0_181
  <=> c3_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1660,plain,
    ( c1_1(a2555)
    | ~ c0_1(a2555)
    | ~ spl0_23
    | ~ spl0_181 ),
    inference(resolution,[],[f1397,f349]) ).

fof(f1397,plain,
    ( c3_1(a2555)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1395]) ).

fof(f1650,plain,
    ( ~ spl0_36
    | spl0_129
    | ~ spl0_23
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1647,f1344,f348,f875,f401]) ).

fof(f1647,plain,
    ( c1_1(a2564)
    | ~ c0_1(a2564)
    | ~ spl0_23
    | ~ spl0_177 ),
    inference(resolution,[],[f349,f1346]) ).

fof(f1636,plain,
    ( ~ spl0_186
    | ~ spl0_123
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1635,f1054,f427,f838,f1629]) ).

fof(f427,plain,
    ( spl0_42
  <=> ! [X105] :
        ( ~ c2_1(X105)
        | ~ c3_1(X105)
        | ~ c1_1(X105) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1054,plain,
    ( spl0_159
  <=> c3_1(a2522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1635,plain,
    ( ~ c2_1(a2522)
    | ~ c1_1(a2522)
    | ~ spl0_42
    | ~ spl0_159 ),
    inference(resolution,[],[f1056,f428]) ).

fof(f428,plain,
    ( ! [X105] :
        ( ~ c3_1(X105)
        | ~ c2_1(X105)
        | ~ c1_1(X105) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1056,plain,
    ( c3_1(a2522)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1054]) ).

fof(f1615,plain,
    ( spl0_57
    | spl0_106
    | ~ spl0_74
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1605,f928,f571,f738,f495]) ).

fof(f1605,plain,
    ( c3_1(a2553)
    | c1_1(a2553)
    | ~ spl0_74
    | ~ spl0_137 ),
    inference(resolution,[],[f572,f930]) ).

fof(f1614,plain,
    ( spl0_97
    | spl0_182
    | ~ spl0_48
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1602,f571,f452,f1418,f687]) ).

fof(f687,plain,
    ( spl0_97
  <=> c3_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1602,plain,
    ( c1_1(a2525)
    | c3_1(a2525)
    | ~ spl0_48
    | ~ spl0_74 ),
    inference(resolution,[],[f572,f454]) ).

fof(f454,plain,
    ( c0_1(a2525)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f1612,plain,
    ( spl0_181
    | spl0_139
    | ~ spl0_74
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1606,f911,f571,f941,f1395]) ).

fof(f1606,plain,
    ( c1_1(a2555)
    | c3_1(a2555)
    | ~ spl0_74
    | ~ spl0_135 ),
    inference(resolution,[],[f572,f913]) ).

fof(f913,plain,
    ( c0_1(a2555)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1590,plain,
    ( spl0_143
    | ~ spl0_10
    | ~ spl0_28
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1581,f1080,f369,f293,f963]) ).

fof(f369,plain,
    ( spl0_28
  <=> ! [X22] :
        ( c0_1(X22)
        | ~ c3_1(X22)
        | ~ c1_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1581,plain,
    ( ~ c1_1(a2534)
    | c0_1(a2534)
    | ~ spl0_28
    | ~ spl0_163 ),
    inference(resolution,[],[f370,f1082]) ).

fof(f370,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c1_1(X22)
        | c0_1(X22) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1587,plain,
    ( spl0_180
    | ~ spl0_142
    | ~ spl0_28
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1578,f607,f369,f957,f1381]) ).

fof(f1578,plain,
    ( ~ c1_1(a2524)
    | c0_1(a2524)
    | ~ spl0_28
    | ~ spl0_82 ),
    inference(resolution,[],[f370,f609]) ).

fof(f1586,plain,
    ( ~ spl0_125
    | spl0_115
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1579,f369,f340,f788,f851]) ).

fof(f851,plain,
    ( spl0_125
  <=> c1_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f788,plain,
    ( spl0_115
  <=> c0_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f340,plain,
    ( spl0_21
  <=> c3_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1579,plain,
    ( c0_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(resolution,[],[f370,f342]) ).

fof(f342,plain,
    ( c3_1(a2526)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f1576,plain,
    ( spl0_95
    | spl0_83
    | ~ spl0_75
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1564,f989,f574,f613,f675]) ).

fof(f675,plain,
    ( spl0_95
  <=> c1_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f574,plain,
    ( spl0_75
  <=> ! [X24] :
        ( c0_1(X24)
        | c1_1(X24)
        | ~ c3_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1564,plain,
    ( c0_1(a2528)
    | c1_1(a2528)
    | ~ spl0_75
    | ~ spl0_147 ),
    inference(resolution,[],[f575,f991]) ).

fof(f575,plain,
    ( ! [X24] :
        ( ~ c3_1(X24)
        | c0_1(X24)
        | c1_1(X24) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f1560,plain,
    ( ~ spl0_184
    | spl0_95
    | ~ spl0_30
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1552,f989,f376,f675,f1556]) ).

fof(f376,plain,
    ( spl0_30
  <=> ! [X70] :
        ( ~ c2_1(X70)
        | ~ c3_1(X70)
        | c1_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1552,plain,
    ( c1_1(a2528)
    | ~ c2_1(a2528)
    | ~ spl0_30
    | ~ spl0_147 ),
    inference(resolution,[],[f991,f377]) ).

fof(f377,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | ~ c2_1(X70)
        | c1_1(X70) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f1545,plain,
    ( ~ spl0_120
    | ~ spl0_72
    | ~ spl0_12
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1538,f427,f302,f561,f819]) ).

fof(f1538,plain,
    ( ~ c2_1(a2556)
    | ~ c1_1(a2556)
    | ~ spl0_12
    | ~ spl0_42 ),
    inference(resolution,[],[f304,f428]) ).

fof(f1532,plain,
    ( spl0_45
    | spl0_86
    | ~ spl0_74
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1520,f1141,f571,f629,f439]) ).

fof(f439,plain,
    ( spl0_45
  <=> c3_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1520,plain,
    ( c1_1(a2552)
    | c3_1(a2552)
    | ~ spl0_74
    | ~ spl0_169 ),
    inference(resolution,[],[f572,f1142]) ).

fof(f1142,plain,
    ( c0_1(a2552)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f1497,plain,
    ( spl0_111
    | spl0_110
    | ~ spl0_67
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1479,f808,f538,f757,f762]) ).

fof(f538,plain,
    ( spl0_67
  <=> ! [X47] :
        ( c3_1(X47)
        | c0_1(X47)
        | ~ c1_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1479,plain,
    ( c3_1(a2518)
    | c0_1(a2518)
    | ~ spl0_67
    | ~ spl0_118 ),
    inference(resolution,[],[f539,f810]) ).

fof(f539,plain,
    ( ! [X47] :
        ( ~ c1_1(X47)
        | c3_1(X47)
        | c0_1(X47) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f1492,plain,
    ( spl0_93
    | spl0_164
    | ~ spl0_67
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1487,f827,f538,f1089,f664]) ).

fof(f1487,plain,
    ( c0_1(a2614)
    | c3_1(a2614)
    | ~ spl0_67
    | ~ spl0_121 ),
    inference(resolution,[],[f539,f829]) ).

fof(f1471,plain,
    ( spl0_97
    | ~ spl0_48
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1462,f530,f522,f452,f687]) ).

fof(f530,plain,
    ( spl0_65
  <=> ! [X75] :
        ( ~ c0_1(X75)
        | c3_1(X75)
        | ~ c2_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1462,plain,
    ( ~ c0_1(a2525)
    | c3_1(a2525)
    | ~ spl0_63
    | ~ spl0_65 ),
    inference(resolution,[],[f531,f524]) ).

fof(f531,plain,
    ( ! [X75] :
        ( ~ c2_1(X75)
        | c3_1(X75)
        | ~ c0_1(X75) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f1467,plain,
    ( spl0_165
    | ~ spl0_53
    | ~ spl0_65
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1466,f777,f530,f475,f1102]) ).

fof(f1466,plain,
    ( ~ c0_1(a2558)
    | c3_1(a2558)
    | ~ spl0_65
    | ~ spl0_113 ),
    inference(resolution,[],[f531,f779]) ).

fof(f1459,plain,
    ( spl0_122
    | spl0_148
    | ~ spl0_18
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1457,f1135,f329,f994,f832]) ).

fof(f1457,plain,
    ( c2_1(a2540)
    | c3_1(a2540)
    | ~ spl0_18
    | ~ spl0_168 ),
    inference(resolution,[],[f1137,f330]) ).

fof(f1137,plain,
    ( c1_1(a2540)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1458,plain,
    ( spl0_122
    | ~ spl0_4
    | ~ spl0_41
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1456,f1135,f424,f269,f832]) ).

fof(f1456,plain,
    ( ~ c0_1(a2540)
    | c3_1(a2540)
    | ~ spl0_41
    | ~ spl0_168 ),
    inference(resolution,[],[f1137,f425]) ).

fof(f1448,plain,
    ( spl0_151
    | spl0_124
    | ~ spl0_64
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1442,f634,f527,f845,f1011]) ).

fof(f1011,plain,
    ( spl0_151
  <=> c1_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f845,plain,
    ( spl0_124
  <=> c0_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f634,plain,
    ( spl0_87
  <=> c2_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1442,plain,
    ( c0_1(a2549)
    | c1_1(a2549)
    | ~ spl0_64
    | ~ spl0_87 ),
    inference(resolution,[],[f528,f636]) ).

fof(f636,plain,
    ( c2_1(a2549)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f1413,plain,
    ( spl0_132
    | ~ spl0_180
    | ~ spl0_31
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1402,f607,f379,f1381,f895]) ).

fof(f379,plain,
    ( spl0_31
  <=> ! [X68] :
        ( ~ c0_1(X68)
        | ~ c3_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1402,plain,
    ( ~ c0_1(a2524)
    | c2_1(a2524)
    | ~ spl0_31
    | ~ spl0_82 ),
    inference(resolution,[],[f380,f609]) ).

fof(f380,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c2_1(X68)
        | ~ c0_1(X68) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1376,plain,
    ( spl0_150
    | ~ spl0_109
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1369,f414,f376,f752,f1005]) ).

fof(f1005,plain,
    ( spl0_150
  <=> c1_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f752,plain,
    ( spl0_109
  <=> c2_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f414,plain,
    ( spl0_39
  <=> c3_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1369,plain,
    ( ~ c2_1(a2521)
    | c1_1(a2521)
    | ~ spl0_30
    | ~ spl0_39 ),
    inference(resolution,[],[f416,f377]) ).

fof(f416,plain,
    ( c3_1(a2521)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1349,plain,
    ( spl0_146
    | spl0_93
    | ~ spl0_62
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1338,f1089,f518,f664,f982]) ).

fof(f1338,plain,
    ( c3_1(a2614)
    | c2_1(a2614)
    | ~ spl0_62
    | ~ spl0_164 ),
    inference(resolution,[],[f519,f1091]) ).

fof(f1091,plain,
    ( c0_1(a2614)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1304,plain,
    ( spl0_166
    | spl0_152
    | ~ spl0_22
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1298,f920,f345,f1016,f1115]) ).

fof(f1016,plain,
    ( spl0_152
  <=> c3_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f345,plain,
    ( spl0_22
  <=> ! [X101] :
        ( ~ c2_1(X101)
        | c3_1(X101)
        | c1_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1298,plain,
    ( c3_1(a2517)
    | c1_1(a2517)
    | ~ spl0_22
    | ~ spl0_136 ),
    inference(resolution,[],[f346,f922]) ).

fof(f346,plain,
    ( ! [X101] :
        ( ~ c2_1(X101)
        | c3_1(X101)
        | c1_1(X101) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f1303,plain,
    ( spl0_45
    | spl0_86
    | ~ spl0_22
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1301,f952,f345,f629,f439]) ).

fof(f1301,plain,
    ( c1_1(a2552)
    | c3_1(a2552)
    | ~ spl0_22
    | ~ spl0_141 ),
    inference(resolution,[],[f346,f954]) ).

fof(f1295,plain,
    ( spl0_60
    | spl0_79
    | ~ spl0_18
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1294,f1187,f329,f594,f508]) ).

fof(f508,plain,
    ( spl0_60
  <=> c2_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f594,plain,
    ( spl0_79
  <=> c3_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1187,plain,
    ( spl0_171
  <=> c1_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1294,plain,
    ( c3_1(a2519)
    | c2_1(a2519)
    | ~ spl0_18
    | ~ spl0_171 ),
    inference(resolution,[],[f1189,f330]) ).

fof(f1189,plain,
    ( c1_1(a2519)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1280,plain,
    ( spl0_45
    | spl0_169
    | ~ spl0_24
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1275,f952,f351,f1141,f439]) ).

fof(f351,plain,
    ( spl0_24
  <=> ! [X100] :
        ( c0_1(X100)
        | ~ c2_1(X100)
        | c3_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1275,plain,
    ( c0_1(a2552)
    | c3_1(a2552)
    | ~ spl0_24
    | ~ spl0_141 ),
    inference(resolution,[],[f352,f954]) ).

fof(f352,plain,
    ( ! [X100] :
        ( ~ c2_1(X100)
        | c0_1(X100)
        | c3_1(X100) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f1277,plain,
    ( spl0_76
    | spl0_152
    | ~ spl0_24
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1272,f920,f351,f1016,f578]) ).

fof(f1272,plain,
    ( c3_1(a2517)
    | c0_1(a2517)
    | ~ spl0_24
    | ~ spl0_136 ),
    inference(resolution,[],[f352,f922]) ).

fof(f1263,plain,
    ( spl0_146
    | spl0_164
    | ~ spl0_19
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1260,f827,f332,f1089,f982]) ).

fof(f332,plain,
    ( spl0_19
  <=> ! [X111] :
        ( ~ c1_1(X111)
        | c0_1(X111)
        | c2_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1260,plain,
    ( c0_1(a2614)
    | c2_1(a2614)
    | ~ spl0_19
    | ~ spl0_121 ),
    inference(resolution,[],[f333,f829]) ).

fof(f333,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | c0_1(X111)
        | c2_1(X111) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f1229,plain,
    ( spl0_111
    | spl0_173
    | ~ spl0_46
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1222,f757,f444,f1226,f762]) ).

fof(f444,plain,
    ( spl0_46
  <=> ! [X53] :
        ( c3_1(X53)
        | c0_1(X53)
        | c2_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1222,plain,
    ( c2_1(a2518)
    | c0_1(a2518)
    | ~ spl0_46
    | spl0_110 ),
    inference(resolution,[],[f759,f445]) ).

fof(f445,plain,
    ( ! [X53] :
        ( c3_1(X53)
        | c2_1(X53)
        | c0_1(X53) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f759,plain,
    ( ~ c3_1(a2518)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f1215,plain,
    ( spl0_158
    | spl0_60
    | ~ spl0_46
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1207,f594,f444,f508,f1047]) ).

fof(f1047,plain,
    ( spl0_158
  <=> c0_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1207,plain,
    ( c2_1(a2519)
    | c0_1(a2519)
    | ~ spl0_46
    | spl0_79 ),
    inference(resolution,[],[f445,f596]) ).

fof(f596,plain,
    ( ~ c3_1(a2519)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1200,plain,
    ( spl0_172
    | spl0_88
    | ~ spl0_43
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1177,f802,f431,f639,f1197]) ).

fof(f431,plain,
    ( spl0_43
  <=> ! [X92] :
        ( c1_1(X92)
        | c0_1(X92)
        | c3_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1177,plain,
    ( c1_1(a2533)
    | c0_1(a2533)
    | ~ spl0_43
    | spl0_117 ),
    inference(resolution,[],[f432,f804]) ).

fof(f804,plain,
    ( ~ c3_1(a2533)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f432,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | c1_1(X92) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f1195,plain,
    ( spl0_166
    | spl0_76
    | ~ spl0_43
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1175,f1016,f431,f578,f1115]) ).

fof(f1175,plain,
    ( c0_1(a2517)
    | c1_1(a2517)
    | ~ spl0_43
    | spl0_152 ),
    inference(resolution,[],[f432,f1018]) ).

fof(f1018,plain,
    ( ~ c3_1(a2517)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1193,plain,
    ( spl0_86
    | spl0_169
    | ~ spl0_43
    | spl0_45 ),
    inference(avatar_split_clause,[],[f1179,f439,f431,f1141,f629]) ).

fof(f1179,plain,
    ( c0_1(a2552)
    | c1_1(a2552)
    | ~ spl0_43
    | spl0_45 ),
    inference(resolution,[],[f432,f441]) ).

fof(f441,plain,
    ( ~ c3_1(a2552)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1190,plain,
    ( spl0_158
    | spl0_171
    | ~ spl0_43
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1176,f594,f431,f1187,f1047]) ).

fof(f1176,plain,
    ( c1_1(a2519)
    | c0_1(a2519)
    | ~ spl0_43
    | spl0_79 ),
    inference(resolution,[],[f432,f596]) ).

fof(f1155,plain,
    ( ~ spl0_116
    | ~ spl0_113
    | ~ spl0_42
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1151,f1102,f427,f777,f794]) ).

fof(f1151,plain,
    ( ~ c2_1(a2558)
    | ~ c1_1(a2558)
    | ~ spl0_42
    | ~ spl0_165 ),
    inference(resolution,[],[f1104,f428]) ).

fof(f1093,plain,
    ( spl0_143
    | spl0_94
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1085,f332,f293,f670,f963]) ).

fof(f1085,plain,
    ( c2_1(a2534)
    | c0_1(a2534)
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(resolution,[],[f333,f295]) ).

fof(f1070,plain,
    ( ~ spl0_6
    | spl0_161 ),
    inference(avatar_split_clause,[],[f10,f1067,f278]) ).

fof(f278,plain,
    ( spl0_6
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f10,plain,
    ( c1_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ~ hskp23
      | ( ~ c1_1(a2553)
        & ~ c3_1(a2553)
        & c0_1(a2553)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a2540)
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp4
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c1_1(X1)
          | ~ c2_1(X1)
          | c0_1(X1) )
      | hskp15 )
    & ( hskp5
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2) )
      | ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X4] :
          ( c3_1(X4)
          | c1_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ ndr1_0
          | c0_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5) ) )
    & ( ! [X6] :
          ( ~ c2_1(X6)
          | ~ ndr1_0
          | ~ c3_1(X6)
          | c1_1(X6) )
      | hskp0
      | ! [X7] :
          ( c2_1(X7)
          | c0_1(X7)
          | ~ ndr1_0
          | c1_1(X7) ) )
    & ( hskp18
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0
          | ~ c0_1(X8) )
      | hskp0 )
    & ( ( c2_1(a2552)
        & ndr1_0
        & ~ c3_1(a2552)
        & ~ c1_1(a2552) )
      | ~ hskp22 )
    & ( ~ hskp8
      | ( ~ c3_1(a2525)
        & c0_1(a2525)
        & c2_1(a2525)
        & ndr1_0 ) )
    & ( hskp16
      | hskp6
      | hskp19 )
    & ( ! [X9] :
          ( c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0
          | c3_1(X9) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c2_1(X10)
          | ~ c0_1(X10) )
      | hskp2 )
    & ( ( ~ c3_1(a2614)
        & c1_1(a2614)
        & ndr1_0
        & ~ c2_1(a2614) )
      | ~ hskp27 )
    & ( hskp20
      | ! [X11] :
          ( ~ c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp10
      | ! [X12] :
          ( ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0
          | c2_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c3_1(X13) ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0
          | c1_1(X14) )
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ ndr1_0
          | c0_1(X15)
          | ~ c3_1(X15) )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ ndr1_0
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | ~ ndr1_0
          | c2_1(X18)
          | c1_1(X18) )
      | hskp13
      | ! [X19] :
          ( ~ c2_1(X19)
          | c0_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0
          | c0_1(X22) )
      | ! [X23] :
          ( ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0
          | ~ c0_1(X23) )
      | hskp16 )
    & ( ~ hskp29
      | ( c3_1(a2556)
        & ndr1_0
        & c1_1(a2556)
        & c2_1(a2556) ) )
    & ( hskp4
      | ! [X24] :
          ( c0_1(X24)
          | ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24) )
      | ! [X25] :
          ( c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0
          | c3_1(X25) ) )
    & ( hskp4
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0
          | ~ c3_1(X27) )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ ndr1_0
          | c1_1(X28)
          | ~ c0_1(X28) )
      | ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | ~ c3_1(X29)
          | c2_1(X29) ) )
    & ( ( ~ c2_1(a2539)
        & ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539) )
      | ~ hskp15 )
    & ( ~ hskp4
      | ( c3_1(a2521)
        & c2_1(a2521)
        & ~ c1_1(a2521)
        & ndr1_0 ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | c1_1(X30)
          | c2_1(X30)
          | ~ c3_1(X30) )
      | ! [X31] :
          ( ~ c2_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ~ hskp13
      | ( c1_1(a2534)
        & ndr1_0
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( hskp2
      | hskp27
      | hskp3 )
    & ( ( c0_1(a2601)
        & ~ c2_1(a2601)
        & c3_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( hskp27
      | hskp23 )
    & ( ( ~ c0_1(a2517)
        & ~ c3_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X32] :
          ( c3_1(X32)
          | ~ ndr1_0
          | ~ c0_1(X32)
          | ~ c1_1(X32) )
      | ! [X33] :
          ( c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0
          | ~ c3_1(X33) )
      | hskp21 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp21
      | hskp26
      | hskp30 )
    & ( ! [X34] :
          ( ~ ndr1_0
          | c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34) )
      | hskp1
      | hskp23 )
    & ( ~ hskp24
      | ( ~ c1_1(a2555)
        & c2_1(a2555)
        & ndr1_0
        & c0_1(a2555) ) )
    & ( hskp3
      | ! [X35] :
          ( ~ ndr1_0
          | c0_1(X35)
          | c1_1(X35)
          | ~ c2_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c0_1(X36)
          | ~ c2_1(X36) ) )
    & ( hskp22
      | hskp5
      | ! [X37] :
          ( ~ c0_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a2541)
        & ~ c2_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp0
      | hskp15
      | ! [X38] :
          ( ~ c1_1(X38)
          | c0_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c2_1(a2529)
        & c0_1(a2529)
        & c3_1(a2529)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a2526)
        & ~ c0_1(a2526)
        & c3_1(a2526) )
      | ~ hskp9 )
    & ( hskp2
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ( ~ c3_1(a2533)
        & ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533) )
      | ~ hskp12 )
    & ( hskp25
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0
          | ~ c2_1(X40) )
      | hskp20 )
    & ( ~ hskp14
      | ( ~ c1_1(a2536)
        & ~ c3_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 ) )
    & ( hskp24
      | ! [X41] :
          ( c2_1(X41)
          | ~ ndr1_0
          | c3_1(X41)
          | ~ c0_1(X41) )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0
          | c2_1(X42) ) )
    & ( ( c1_1(a2524)
        & ~ c2_1(a2524)
        & ndr1_0
        & c3_1(a2524) )
      | ~ hskp7 )
    & ( hskp10
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43)
          | c0_1(X43) )
      | hskp18 )
    & ( ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) )
      | ~ hskp0 )
    & ( hskp28
      | hskp1
      | ! [X44] :
          ( ~ c2_1(X44)
          | c3_1(X44)
          | ~ ndr1_0
          | ~ c1_1(X44) ) )
    & ( hskp16
      | ! [X45] :
          ( c2_1(X45)
          | c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X46] :
          ( ~ c0_1(X46)
          | ~ ndr1_0
          | c3_1(X46)
          | ~ c2_1(X46) )
      | ! [X47] :
          ( c3_1(X47)
          | c0_1(X47)
          | ~ ndr1_0
          | ~ c1_1(X47) )
      | hskp12 )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ ndr1_0
          | c1_1(X48)
          | c2_1(X48) )
      | hskp11
      | ! [X49] :
          ( c0_1(X49)
          | ~ c3_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp24 )
    & ( ( c0_1(a2523)
        & ~ c3_1(a2523)
        & ndr1_0
        & c1_1(a2523) )
      | ~ hskp6 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c3_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50) )
      | hskp22
      | hskp30 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c0_1(X51)
          | ~ c3_1(X51) )
      | hskp6
      | hskp20 )
    & ( hskp1
      | ! [X52] :
          ( c3_1(X52)
          | ~ ndr1_0
          | c2_1(X52)
          | ~ c1_1(X52) )
      | ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0
          | c2_1(X53) ) )
    & ( hskp0
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | c0_1(X55)
          | c2_1(X55) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | ~ c2_1(X56)
          | c1_1(X56) )
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ ndr1_0
          | c0_1(X57)
          | ~ c1_1(X57) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ c2_1(X58) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | c0_1(X59)
          | ~ c1_1(X59) )
      | ! [X60] :
          ( c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0
          | c2_1(X60) )
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0
          | ~ c3_1(X61) )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0
          | ~ c0_1(X62) )
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ ndr1_0
          | ~ c3_1(X64)
          | c0_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65) ) )
    & ( hskp23
      | hskp31
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c3_1(X66) ) )
    & ( ~ hskp21
      | ( ~ c2_1(a2551)
        & c0_1(a2551)
        & ndr1_0
        & c1_1(a2551) ) )
    & ( hskp25
      | hskp24
      | ! [X67] :
          ( ~ ndr1_0
          | c2_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67) ) )
    & ( ( ~ c1_1(a2528)
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ~ hskp20
      | ( ~ c1_1(a2549)
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c0_1(X68)
          | ~ ndr1_0
          | c2_1(X68)
          | ~ c3_1(X68) )
      | ! [X69] :
          ( c2_1(X69)
          | ~ ndr1_0
          | ~ c0_1(X69)
          | c1_1(X69) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp9
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0
          | c2_1(X71) )
      | hskp30 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c3_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ ndr1_0
          | c1_1(X73)
          | c3_1(X73) )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ ndr1_0
          | c0_1(X74)
          | ~ c1_1(X74) ) )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c0_1(X76)
          | ~ ndr1_0
          | c1_1(X76)
          | ~ c2_1(X76) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c1_1(X77)
          | ~ c3_1(X77) ) )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c3_1(X78) )
      | hskp6
      | ! [X79] :
          ( ~ c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0
          | ~ c2_1(X79) ) )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ ndr1_0
          | c3_1(X80)
          | ~ c0_1(X80) )
      | hskp24
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ ndr1_0
          | ~ c3_1(X81)
          | c1_1(X81) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | c2_1(X82)
          | ~ c1_1(X82)
          | ~ c0_1(X82) )
      | ! [X83] :
          ( ~ ndr1_0
          | c1_1(X83)
          | ~ c2_1(X83)
          | c0_1(X83) )
      | hskp0 )
    & ( ( ~ c3_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0
        & ~ c2_1(a2519) )
      | ~ hskp3 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | hskp3
      | hskp25 )
    & ( hskp21
      | ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0
          | ~ c0_1(X85) )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0
          | ~ c1_1(X86) ) )
    & ( hskp9
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0
          | ~ c0_1(X87) )
      | hskp4 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c1_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp7
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | ~ ndr1_0
          | c3_1(X89) ) )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X90] :
          ( c3_1(X90)
          | ~ ndr1_0
          | c2_1(X90)
          | c0_1(X90) )
      | hskp8
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ ndr1_0
          | c1_1(X91)
          | c2_1(X91) ) )
    & ( ! [X92] :
          ( c0_1(X92)
          | c3_1(X92)
          | ~ ndr1_0
          | c1_1(X92) )
      | hskp2
      | ! [X93] :
          ( ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0
          | c1_1(X93) ) )
    & ( ~ hskp25
      | ( c0_1(a2564)
        & ~ c2_1(a2564)
        & ndr1_0
        & ~ c1_1(a2564) ) )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ ndr1_0
          | ~ c1_1(X94)
          | c2_1(X94) )
      | hskp9
      | ! [X95] :
          ( ~ ndr1_0
          | c2_1(X95)
          | c3_1(X95)
          | c0_1(X95) ) )
    & ( hskp29
      | hskp10
      | ! [X96] :
          ( ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0
          | c3_1(X96) ) )
    & ( hskp20
      | ! [X97] :
          ( ~ ndr1_0
          | c2_1(X97)
          | c1_1(X97)
          | c3_1(X97) )
      | hskp19 )
    & ( ~ hskp31
      | ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c1_1(X98)
          | ~ ndr1_0
          | c2_1(X98)
          | ~ c3_1(X98) )
      | ! [X99] :
          ( ~ c2_1(X99)
          | ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c1_1(X99) )
      | hskp18 )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ ndr1_0
          | c0_1(X100)
          | c3_1(X100) )
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ ndr1_0
          | c1_1(X101)
          | c3_1(X101) )
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ ndr1_0
          | c1_1(X102)
          | ~ c3_1(X102) ) )
    & ( ( c0_1(a2558)
        & ndr1_0
        & c1_1(a2558)
        & c2_1(a2558) )
      | ~ hskp30 )
    & ( ! [X103] :
          ( ~ ndr1_0
          | c2_1(X103)
          | c1_1(X103)
          | ~ c3_1(X103) )
      | ! [X104] :
          ( c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0
          | ~ c0_1(X104) )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c1_1(X105) ) )
    & ( hskp7
      | ! [X106] :
          ( ~ ndr1_0
          | c0_1(X106)
          | ~ c3_1(X106)
          | c1_1(X106) )
      | hskp6 )
    & ( hskp2
      | hskp20
      | hskp21 )
    & ( ! [X107] :
          ( c1_1(X107)
          | c2_1(X107)
          | ~ ndr1_0
          | ~ c0_1(X107) )
      | hskp21
      | hskp22 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c1_1(X108) )
      | hskp4
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | ~ ndr1_0
          | ~ c0_1(X109) ) )
    & ( ( c1_1(a2518)
        & ndr1_0
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) )
      | ~ hskp2 )
    & ( hskp10
      | ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | ~ c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c1_1(X112)
          | c2_1(X112)
          | c3_1(X112) )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | ~ ndr1_0
          | ~ c1_1(X113) )
      | hskp14 )
    & ( ~ hskp18
      | ( c1_1(a2545)
        & c2_1(a2545)
        & ndr1_0
        & ~ c0_1(a2545) ) )
    & ( ! [X114] :
          ( ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0
          | ~ c0_1(X114) )
      | ! [X115] :
          ( ~ c0_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0
          | c1_1(X115) )
      | hskp28 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | hskp14
      | ! [X117] :
          ( c0_1(X117)
          | ~ ndr1_0
          | c3_1(X117)
          | ~ c2_1(X117) ) )
    & ( ! [X118] :
          ( ~ ndr1_0
          | c1_1(X118)
          | c0_1(X118)
          | c3_1(X118) )
      | ! [X119] :
          ( ~ c1_1(X119)
          | c3_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0
          | ~ c0_1(X120) ) )
    & ( ( c3_1(a2548)
        & ~ c1_1(a2548)
        & ndr1_0
        & c0_1(a2548) )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2531)
        & c1_1(a2531)
        & c2_1(a2531)
        & ndr1_0 )
      | ~ hskp11 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ~ hskp23
      | ( ~ c1_1(a2553)
        & ~ c3_1(a2553)
        & c0_1(a2553)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a2540)
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( hskp8
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp4
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c1_1(X12)
          | ~ c2_1(X12)
          | c0_1(X12) )
      | hskp15 )
    & ( hskp5
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99) )
      | ! [X100] :
          ( c0_1(X100)
          | c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X89] :
          ( c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ ndr1_0
          | c0_1(X88)
          | c1_1(X88)
          | ~ c2_1(X88) ) )
    & ( ! [X32] :
          ( ~ c2_1(X32)
          | ~ ndr1_0
          | ~ c3_1(X32)
          | c1_1(X32) )
      | hskp0
      | ! [X33] :
          ( c2_1(X33)
          | c0_1(X33)
          | ~ ndr1_0
          | c1_1(X33) ) )
    & ( hskp18
      | ! [X105] :
          ( c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0
          | ~ c0_1(X105) )
      | hskp0 )
    & ( ( c2_1(a2552)
        & ndr1_0
        & ~ c3_1(a2552)
        & ~ c1_1(a2552) )
      | ~ hskp22 )
    & ( ~ hskp8
      | ( ~ c3_1(a2525)
        & c0_1(a2525)
        & c2_1(a2525)
        & ndr1_0 ) )
    & ( hskp16
      | hskp6
      | hskp19 )
    & ( ! [X120] :
          ( c1_1(X120)
          | ~ c0_1(X120)
          | ~ ndr1_0
          | c3_1(X120) )
      | ! [X119] :
          ( ~ ndr1_0
          | c3_1(X119)
          | c2_1(X119)
          | ~ c0_1(X119) )
      | hskp2 )
    & ( ( ~ c3_1(a2614)
        & c1_1(a2614)
        & ndr1_0
        & ~ c2_1(a2614) )
      | ~ hskp27 )
    & ( hskp20
      | ! [X23] :
          ( ~ c0_1(X23)
          | c1_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp10
      | ! [X4] :
          ( ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0
          | c2_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3) ) )
    & ( ! [X8] :
          ( c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0
          | c1_1(X8) )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ ndr1_0
          | c0_1(X9)
          | ~ c3_1(X9) )
      | ! [X7] :
          ( ~ c0_1(X7)
          | c3_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ ndr1_0
          | c2_1(X16)
          | c0_1(X16) ) )
    & ( ! [X70] :
          ( ~ c0_1(X70)
          | ~ ndr1_0
          | c2_1(X70)
          | c1_1(X70) )
      | hskp13
      | ! [X71] :
          ( ~ c2_1(X71)
          | c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c0_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0
          | c0_1(X97) )
      | ! [X98] :
          ( ~ c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0
          | ~ c0_1(X98) )
      | hskp16 )
    & ( ~ hskp29
      | ( c3_1(a2556)
        & ndr1_0
        & c1_1(a2556)
        & c2_1(a2556) ) )
    & ( hskp4
      | ! [X103] :
          ( c0_1(X103)
          | ~ ndr1_0
          | ~ c3_1(X103)
          | c1_1(X103) )
      | ! [X104] :
          ( c1_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0
          | c3_1(X104) ) )
    & ( hskp4
      | ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0
          | ~ c3_1(X29) )
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ ndr1_0
          | c1_1(X30)
          | ~ c0_1(X30) )
      | ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | ~ c3_1(X31)
          | c2_1(X31) ) )
    & ( ( ~ c2_1(a2539)
        & ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539) )
      | ~ hskp15 )
    & ( ~ hskp4
      | ( c3_1(a2521)
        & c2_1(a2521)
        & ~ c1_1(a2521)
        & ndr1_0 ) )
    & ( ! [X116] :
          ( ~ ndr1_0
          | c1_1(X116)
          | c2_1(X116)
          | ~ c3_1(X116) )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c3_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ~ hskp13
      | ( c1_1(a2534)
        & ndr1_0
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( hskp2
      | hskp27
      | hskp3 )
    & ( ( c0_1(a2601)
        & ~ c2_1(a2601)
        & c3_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( hskp27
      | hskp23 )
    & ( ( ~ c0_1(a2517)
        & ~ c3_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X35] :
          ( c3_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35)
          | ~ c1_1(X35) )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0
          | ~ c3_1(X34) )
      | hskp21 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp21
      | hskp26
      | hskp30 )
    & ( ! [X22] :
          ( ~ ndr1_0
          | c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22) )
      | hskp1
      | hskp23 )
    & ( ~ hskp24
      | ( ~ c1_1(a2555)
        & c2_1(a2555)
        & ndr1_0
        & c0_1(a2555) ) )
    & ( hskp3
      | ! [X80] :
          ( ~ ndr1_0
          | c0_1(X80)
          | c1_1(X80)
          | ~ c2_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | c0_1(X81)
          | ~ c2_1(X81) ) )
    & ( hskp22
      | hskp5
      | ! [X2] :
          ( ~ c0_1(X2)
          | c1_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a2541)
        & ~ c2_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp0
      | hskp15
      | ! [X95] :
          ( ~ c1_1(X95)
          | c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 ) )
    & ( ~ hskp28
      | ( c2_1(a2529)
        & c0_1(a2529)
        & c3_1(a2529)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a2526)
        & ~ c0_1(a2526)
        & c3_1(a2526) )
      | ~ hskp9 )
    & ( hskp2
      | ! [X60] :
          ( ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ( ~ c3_1(a2533)
        & ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533) )
      | ~ hskp12 )
    & ( hskp25
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0
          | ~ c2_1(X21) )
      | hskp20 )
    & ( ~ hskp14
      | ( ~ c1_1(a2536)
        & ~ c3_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 ) )
    & ( hskp24
      | ! [X54] :
          ( c2_1(X54)
          | ~ ndr1_0
          | c3_1(X54)
          | ~ c0_1(X54) )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0
          | c2_1(X55) ) )
    & ( ( c1_1(a2524)
        & ~ c2_1(a2524)
        & ndr1_0
        & c3_1(a2524) )
      | ~ hskp7 )
    & ( hskp10
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ ndr1_0
          | ~ c3_1(X59)
          | c0_1(X59) )
      | hskp18 )
    & ( ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) )
      | ~ hskp0 )
    & ( hskp28
      | hskp1
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | ~ ndr1_0
          | ~ c1_1(X92) ) )
    & ( hskp16
      | ! [X41] :
          ( c2_1(X41)
          | c3_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | ~ ndr1_0
          | c3_1(X93)
          | ~ c2_1(X93) )
      | ! [X94] :
          ( c3_1(X94)
          | c0_1(X94)
          | ~ ndr1_0
          | ~ c1_1(X94) )
      | hskp12 )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ ndr1_0
          | c1_1(X63)
          | c2_1(X63) )
      | hskp11
      | ! [X64] :
          ( c0_1(X64)
          | ~ c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp24 )
    & ( ( c0_1(a2523)
        & ~ c3_1(a2523)
        & ndr1_0
        & c1_1(a2523) )
      | ~ hskp6 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) )
      | hskp22
      | hskp30 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53) )
      | hskp6
      | hskp20 )
    & ( hskp1
      | ! [X45] :
          ( c3_1(X45)
          | ~ ndr1_0
          | c2_1(X45)
          | ~ c1_1(X45) )
      | ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ ndr1_0
          | c2_1(X44) ) )
    & ( hskp0
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c0_1(X49)
          | c2_1(X49) ) )
    & ( ! [X113] :
          ( ~ ndr1_0
          | c0_1(X113)
          | ~ c2_1(X113)
          | c1_1(X113) )
      | ! [X114] :
          ( ~ c2_1(X114)
          | ~ ndr1_0
          | c0_1(X114)
          | ~ c1_1(X114) )
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c0_1(X112)
          | c1_1(X112)
          | ~ c2_1(X112) ) )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c0_1(X42)
          | ~ c1_1(X42) )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0
          | c2_1(X43) )
      | hskp17 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0
          | ~ c3_1(X83) )
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0
          | ~ c0_1(X84) )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ ndr1_0
          | ~ c3_1(X5)
          | c0_1(X5) )
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | ~ c0_1(X6)
          | ~ c1_1(X6) ) )
    & ( hskp23
      | hskp31
      | ! [X61] :
          ( ~ c1_1(X61)
          | ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c3_1(X61) ) )
    & ( ~ hskp21
      | ( ~ c2_1(a2551)
        & c0_1(a2551)
        & ndr1_0
        & c1_1(a2551) ) )
    & ( hskp25
      | hskp24
      | ! [X108] :
          ( ~ ndr1_0
          | c2_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108) ) )
    & ( ( ~ c1_1(a2528)
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ~ hskp20
      | ( ~ c1_1(a2549)
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c0_1(X78)
          | ~ ndr1_0
          | c2_1(X78)
          | ~ c3_1(X78) )
      | ! [X77] :
          ( c2_1(X77)
          | ~ ndr1_0
          | ~ c0_1(X77)
          | c1_1(X77) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp9
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0
          | c2_1(X67) )
      | hskp30 )
    & ( ! [X20] :
          ( c1_1(X20)
          | ~ c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ ndr1_0
          | c1_1(X18)
          | c3_1(X18) )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ ndr1_0
          | c0_1(X19)
          | ~ c1_1(X19) ) )
    & ( ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | ~ ndr1_0
          | c1_1(X28)
          | ~ c2_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27) ) )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c3_1(X101) )
      | hskp6
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0
          | ~ c2_1(X102) ) )
    & ( ! [X46] :
          ( c2_1(X46)
          | ~ ndr1_0
          | c3_1(X46)
          | ~ c0_1(X46) )
      | hskp24
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47)
          | c1_1(X47) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ c0_1(X75) )
      | ! [X76] :
          ( ~ ndr1_0
          | c1_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) )
      | hskp0 )
    & ( ( ~ c3_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0
        & ~ c2_1(a2519) )
      | ~ hskp3 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | hskp3
      | hskp25 )
    & ( hskp21
      | ! [X36] :
          ( c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0
          | ~ c0_1(X36) )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0
          | ~ c1_1(X37) ) )
    & ( hskp9
      | ! [X24] :
          ( c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0
          | ~ c0_1(X24) )
      | hskp4 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | hskp7
      | ! [X109] :
          ( ~ c1_1(X109)
          | c2_1(X109)
          | ~ ndr1_0
          | c3_1(X109) ) )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X38] :
          ( c3_1(X38)
          | ~ ndr1_0
          | c2_1(X38)
          | c0_1(X38) )
      | hskp8
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ ndr1_0
          | c1_1(X39)
          | c2_1(X39) ) )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ ndr1_0
          | c1_1(X69) )
      | hskp2
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0
          | c1_1(X68) ) )
    & ( ~ hskp25
      | ( c0_1(a2564)
        & ~ c2_1(a2564)
        & ndr1_0
        & ~ c1_1(a2564) ) )
    & ( ! [X66] :
          ( c3_1(X66)
          | ~ ndr1_0
          | ~ c1_1(X66)
          | c2_1(X66) )
      | hskp9
      | ! [X65] :
          ( ~ ndr1_0
          | c2_1(X65)
          | c3_1(X65)
          | c0_1(X65) ) )
    & ( hskp29
      | hskp10
      | ! [X111] :
          ( ~ c1_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0
          | c3_1(X111) ) )
    & ( hskp20
      | ! [X25] :
          ( ~ ndr1_0
          | c2_1(X25)
          | c1_1(X25)
          | c3_1(X25) )
      | hskp19 )
    & ( ~ hskp31
      | ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ ndr1_0
          | c2_1(X85)
          | ~ c3_1(X85) )
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c1_1(X86) )
      | hskp18 )
    & ( ! [X13] :
          ( ~ c2_1(X13)
          | ~ ndr1_0
          | c0_1(X13)
          | c3_1(X13) )
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ ndr1_0
          | c1_1(X15)
          | c3_1(X15) )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ ndr1_0
          | c1_1(X14)
          | ~ c3_1(X14) ) )
    & ( ( c0_1(a2558)
        & ndr1_0
        & c1_1(a2558)
        & c2_1(a2558) )
      | ~ hskp30 )
    & ( ! [X57] :
          ( ~ ndr1_0
          | c2_1(X57)
          | c1_1(X57)
          | ~ c3_1(X57) )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0
          | ~ c0_1(X56) )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58) ) )
    & ( hskp7
      | ! [X40] :
          ( ~ ndr1_0
          | c0_1(X40)
          | ~ c3_1(X40)
          | c1_1(X40) )
      | hskp6 )
    & ( hskp2
      | hskp20
      | hskp21 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0
          | ~ c0_1(X62) )
      | hskp21
      | hskp22 )
    & ( ! [X90] :
          ( c3_1(X90)
          | ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90) )
      | hskp4
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0
          | ~ c0_1(X91) ) )
    & ( ( c1_1(a2518)
        & ndr1_0
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) )
      | ~ hskp2 )
    & ( hskp10
      | ! [X0] :
          ( c3_1(X0)
          | ~ c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c2_1(X1)
          | ~ c1_1(X1)
          | c0_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | c1_1(X107)
          | c2_1(X107)
          | c3_1(X107) )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c2_1(X106)
          | ~ ndr1_0
          | ~ c1_1(X106) )
      | hskp14 )
    & ( ~ hskp18
      | ( c1_1(a2545)
        & c2_1(a2545)
        & ndr1_0
        & ~ c0_1(a2545) ) )
    & ( ! [X117] :
          ( ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0
          | ~ c0_1(X117) )
      | ! [X118] :
          ( ~ c0_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0
          | c1_1(X118) )
      | hskp28 )
    & ( ! [X10] :
          ( c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | hskp14
      | ! [X11] :
          ( c0_1(X11)
          | ~ ndr1_0
          | c3_1(X11)
          | ~ c2_1(X11) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | c1_1(X52)
          | c0_1(X52)
          | c3_1(X52) )
      | ! [X51] :
          ( ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0
          | ~ c0_1(X50) ) )
    & ( ( c3_1(a2548)
        & ~ c1_1(a2548)
        & ndr1_0
        & c0_1(a2548) )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2531)
        & c1_1(a2531)
        & c2_1(a2531)
        & ndr1_0 )
      | ~ hskp11 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp27
      | hskp23 )
    & ( ~ hskp8
      | ( ~ c3_1(a2525)
        & c0_1(a2525)
        & c2_1(a2525)
        & ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp3
      | ! [X73] :
          ( ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ~ hskp21
      | ( ~ c2_1(a2551)
        & c0_1(a2551)
        & ndr1_0
        & c1_1(a2551) ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | ~ c3_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 )
      | hskp17
      | ! [X43] :
          ( ~ c1_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ~ hskp23
      | ( ~ c1_1(a2553)
        & ~ c3_1(a2553)
        & c0_1(a2553)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a2540)
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( hskp7
      | ! [X109] :
          ( ~ c1_1(X109)
          | c3_1(X109)
          | c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | c2_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | hskp21 )
    & ( hskp9
      | ! [X66] :
          ( c2_1(X66)
          | ~ c1_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | c0_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( c3_1(a2556)
        & ndr1_0
        & c1_1(a2556)
        & c2_1(a2556) ) )
    & ( ( c0_1(a2558)
        & ndr1_0
        & c1_1(a2558)
        & c2_1(a2558) )
      | ~ hskp30 )
    & ( hskp14
      | ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp24 )
    & ( hskp21
      | hskp26
      | hskp30 )
    & ( hskp4
      | ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp14
      | ( ~ c1_1(a2536)
        & ~ c3_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 ) )
    & ( ~ hskp25
      | ( c0_1(a2564)
        & ~ c2_1(a2564)
        & ndr1_0
        & ~ c1_1(a2564) ) )
    & ( ( ~ c3_1(a2533)
        & ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533) )
      | ~ hskp12 )
    & ( ~ hskp18
      | ( c1_1(a2545)
        & c2_1(a2545)
        & ndr1_0
        & ~ c0_1(a2545) ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp5
      | ! [X100] :
          ( ~ c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a2541)
        & ~ c2_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp16
      | hskp6
      | hskp19 )
    & ( ! [X20] :
          ( ~ c3_1(X20)
          | c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ~ hskp24
      | ( ~ c1_1(a2555)
        & c2_1(a2555)
        & ndr1_0
        & c0_1(a2555) ) )
    & ( ! [X104] :
          ( c1_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | hskp4
      | ! [X103] :
          ( ~ c3_1(X103)
          | c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 ) )
    & ( ~ hskp31
      | ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a2517)
        & ~ c3_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( hskp24
      | ! [X47] :
          ( c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2548)
        & ~ c1_1(a2548)
        & ndr1_0
        & c0_1(a2548) )
      | ~ hskp19 )
    & ( ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) )
      | ~ hskp0 )
    & ( ! [X83] :
          ( ~ c3_1(X83)
          | c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( hskp28
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c1_1(X92)
          | c3_1(X92)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X2] :
          ( c1_1(X2)
          | ~ c3_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | hskp22
      | hskp5 )
    & ( hskp2
      | hskp27
      | hskp3 )
    & ( hskp19
      | hskp20
      | ! [X25] :
          ( c3_1(X25)
          | c1_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a2614)
        & c1_1(a2614)
        & ndr1_0
        & ~ c2_1(a2614) )
      | ~ hskp27 )
    & ( hskp0
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | hskp18 )
    & ( hskp21
      | ! [X62] :
          ( ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | c3_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( ! [X39] :
          ( c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | hskp8
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c0_1(X88)
          | c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp1
      | ! [X89] :
          ( c1_1(X89)
          | c0_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | hskp1
      | ! [X45] :
          ( c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c1_1(X101)
          | ~ c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a2601)
        & ~ c2_1(a2601)
        & c3_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( hskp6
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp13
      | ! [X70] :
          ( c2_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( c3_1(a2521)
        & c2_1(a2521)
        & ~ c1_1(a2521)
        & ndr1_0 ) )
    & ( ! [X21] :
          ( c3_1(X21)
          | ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | hskp25
      | hskp20 )
    & ( ! [X114] :
          ( ~ c2_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c1_1(X112)
          | ~ c2_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c1_1(X113)
          | c0_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a2528)
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp18
      | hskp10 )
    & ( hskp28
      | hskp3
      | ! [X16] :
          ( c2_1(X16)
          | c0_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp2
      | ! [X60] :
          ( ~ c0_1(X60)
          | c1_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X95] :
          ( ~ c3_1(X95)
          | c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ~ hskp13
      | ( c1_1(a2534)
        & ndr1_0
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( hskp7
      | hskp6
      | ! [X40] :
          ( ~ c3_1(X40)
          | c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c2_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c1_1(X33)
          | c0_1(X33)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp0
      | ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a2523)
        & ~ c3_1(a2523)
        & ndr1_0
        & c1_1(a2523) )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0
        & ~ c2_1(a2519) )
      | ~ hskp3 )
    & ( hskp3
      | ! [X80] :
          ( c0_1(X80)
          | ~ c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | ~ c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | c3_1(X111)
          | ~ ndr1_0 )
      | hskp10
      | hskp29 )
    & ( ( c2_1(a2552)
        & ndr1_0
        & ~ c3_1(a2552)
        & ~ c1_1(a2552) )
      | ~ hskp22 )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | c3_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c2_1(X13)
          | c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | ~ c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a2526)
        & ~ c0_1(a2526)
        & c3_1(a2526) )
      | ~ hskp9 )
    & ( hskp12
      | ! [X93] :
          ( ~ c0_1(X93)
          | ~ c2_1(X93)
          | c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a2524)
        & ~ c2_1(a2524)
        & ndr1_0
        & c3_1(a2524) )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2539)
        & ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539) )
      | ~ hskp15 )
    & ( ! [X9] :
          ( ~ c3_1(X9)
          | c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | c3_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c2_1(X49)
          | ~ c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 )
      | hskp0
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c0_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp31 )
    & ( hskp1
      | ! [X22] :
          ( ~ c0_1(X22)
          | c1_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c2_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X63] :
          ( c2_1(X63)
          | c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | ~ c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( c3_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( ~ hskp28
      | ( c2_1(a2529)
        & c0_1(a2529)
        & c3_1(a2529)
        & ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c0_1(X91)
          | c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp4 )
    & ( hskp21
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a2518)
        & ndr1_0
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) )
      | ~ hskp2 )
    & ( hskp14
      | ! [X11] :
          ( c3_1(X11)
          | ~ c2_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c2_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X17] :
          ( ~ c2_1(X17)
          | c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | c1_1(X118)
          | ~ c0_1(X118)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X0] :
          ( ~ c1_1(X0)
          | c3_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp10
      | ! [X1] :
          ( c2_1(X1)
          | c0_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ( ~ c3_1(a2531)
        & c1_1(a2531)
        & c2_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | c1_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | hskp24 )
    & ( hskp30
      | hskp9
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( ~ c2_1(X5)
          | c0_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp14
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X4] :
          ( c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X97] :
          ( c0_1(X97)
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp15
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c2_1(X12)
          | c0_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c1_1(X69)
          | c0_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c2_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp29
      | ! [X116] :
          ( c1_1(X116)
          | ~ c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp14
      | ! [X23] :
          ( ~ c0_1(X23)
          | c1_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X119] :
          ( c2_1(X119)
          | c3_1(X119)
          | ~ c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c1_1(X120)
          | ~ c0_1(X120)
          | c3_1(X120)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp20
      | ( ~ c1_1(a2549)
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp27
      | hskp23 )
    & ( ~ hskp8
      | ( ~ c3_1(a2525)
        & c0_1(a2525)
        & c2_1(a2525)
        & ndr1_0 ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | ~ c3_1(X74)
            | ~ c2_1(X74) ) )
      | hskp3
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c0_1(X73)
            | ~ c2_1(X73) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c1_1(X85)
            | ~ c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | ~ c1_1(X86) ) )
      | hskp18 )
    & ( ~ hskp21
      | ( ~ c2_1(a2551)
        & c0_1(a2551)
        & ndr1_0
        & c1_1(a2551) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c3_1(X42)
            | c0_1(X42) ) )
      | hskp17
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c2_1(X43)
            | c3_1(X43) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | ~ c2_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) ) )
    & ( ~ hskp23
      | ( ~ c1_1(a2553)
        & ~ c3_1(a2553)
        & c0_1(a2553)
        & ndr1_0 ) )
    & ( ( ~ c3_1(a2540)
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( hskp7
      | ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | c3_1(X109)
            | c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | c2_1(X110)
            | c1_1(X110) ) ) )
    & ( hskp2
      | hskp20
      | hskp21 )
    & ( hskp9
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | ~ c1_1(X66)
            | c3_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | c0_1(X65)
            | c3_1(X65) ) ) )
    & ( ~ hskp29
      | ( c3_1(a2556)
        & ndr1_0
        & c1_1(a2556)
        & c2_1(a2556) ) )
    & ( ( c0_1(a2558)
        & ndr1_0
        & c1_1(a2558)
        & c2_1(a2558) )
      | ~ hskp30 )
    & ( hskp14
      | ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | c1_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | c2_1(X106) ) ) )
    & ( hskp0
      | hskp24 )
    & ( hskp21
      | hskp26
      | hskp30 )
    & ( hskp4
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) )
      | hskp9 )
    & ( ~ hskp14
      | ( ~ c1_1(a2536)
        & ~ c3_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 ) )
    & ( ~ hskp25
      | ( c0_1(a2564)
        & ~ c2_1(a2564)
        & ndr1_0
        & ~ c1_1(a2564) ) )
    & ( ( ~ c3_1(a2533)
        & ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533) )
      | ~ hskp12 )
    & ( ~ hskp18
      | ( c1_1(a2545)
        & c2_1(a2545)
        & ndr1_0
        & ~ c0_1(a2545) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | ~ c2_1(X99)
            | ~ c1_1(X99) ) )
      | hskp5
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ( ~ c1_1(a2541)
        & ~ c2_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp16
      | hskp6
      | hskp19 )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | c2_1(X20)
            | c1_1(X20) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c2_1(X19)
            | ~ c1_1(X19) ) ) )
    & ( ~ hskp24
      | ( ~ c1_1(a2555)
        & c2_1(a2555)
        & ndr1_0
        & c0_1(a2555) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) )
      | hskp4
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | c0_1(X103)
            | c1_1(X103) ) ) )
    & ( ~ hskp31
      | ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a2517)
        & ~ c3_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( hskp24
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c2_1(X46)
            | ~ c0_1(X46) ) ) )
    & ( ( c3_1(a2548)
        & ~ c1_1(a2548)
        & ndr1_0
        & c0_1(a2548) )
      | ~ hskp19 )
    & ( ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) )
      | ~ hskp0 )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c0_1(X83)
            | ~ c2_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | ~ c3_1(X82)
            | ~ c1_1(X82) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c0_1(X84)
            | ~ c2_1(X84) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c1_1(X87)
            | ~ c2_1(X87) ) )
      | hskp7
      | hskp8 )
    & ( hskp28
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c1_1(X92)
            | c3_1(X92) ) )
      | hskp1 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c3_1(X2)
            | ~ c0_1(X2) ) )
      | hskp22
      | hskp5 )
    & ( hskp2
      | hskp27
      | hskp3 )
    & ( hskp19
      | hskp20
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c1_1(X25)
            | c2_1(X25) ) ) )
    & ( ( ~ c3_1(a2614)
        & c1_1(a2614)
        & ndr1_0
        & ~ c2_1(a2614) )
      | ~ hskp27 )
    & ( hskp0
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c2_1(X105)
            | c1_1(X105) ) )
      | hskp18 )
    & ( hskp21
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) )
      | hskp22 )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | c3_1(X36)
            | ~ c0_1(X36) ) )
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c0_1(X39)
            | c2_1(X39) ) )
      | hskp8
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( c0_1(X88)
            | c1_1(X88)
            | ~ c2_1(X88) ) )
      | hskp1
      | ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c0_1(X89)
            | c3_1(X89) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | hskp1
      | ! [X45] :
          ( ndr1_0
         => ( c2_1(X45)
            | ~ c1_1(X45)
            | c3_1(X45) ) ) )
    & ( hskp6
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c3_1(X101)
            | c2_1(X101) ) ) )
    & ( hskp25
      | hskp24
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c0_1(X108)
            | ~ c1_1(X108) ) ) )
    & ( ( c0_1(a2601)
        & ~ c2_1(a2601)
        & c3_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( hskp6
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp20 )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c0_1(X31)
            | c2_1(X31) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c1_1(X71)
            | ~ c2_1(X71) ) )
      | hskp13
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | ~ c0_1(X70)
            | c1_1(X70) ) ) )
    & ( ~ hskp4
      | ( c3_1(a2521)
        & c2_1(a2521)
        & ~ c1_1(a2521)
        & ndr1_0 ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | ~ c2_1(X21)
            | ~ c0_1(X21) ) )
      | hskp25
      | hskp20 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | ~ c1_1(X114)
            | c0_1(X114) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c1_1(X112)
            | ~ c2_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c1_1(X113)
            | c0_1(X113)
            | ~ c2_1(X113) ) ) )
    & ( ( ~ c1_1(a2528)
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c3_1(X59)
            | ~ c2_1(X59) ) )
      | hskp18
      | hskp10 )
    & ( hskp28
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c0_1(X16)
            | ~ c1_1(X16) ) ) )
    & ( hskp29
      | hskp2
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c1_1(X60)
            | c3_1(X60) ) ) )
    & ( hskp0
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c0_1(X95)
            | ~ c1_1(X95) ) )
      | hskp15 )
    & ( ~ hskp13
      | ( c1_1(a2534)
        & ndr1_0
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( hskp7
      | hskp6
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c1_1(X40)
            | c0_1(X40) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c1_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | c1_1(X33)
            | c0_1(X33) ) )
      | hskp0 )
    & ( hskp0
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c2_1(X76)
            | c0_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c0_1(X75)
            | ~ c1_1(X75) ) ) )
    & ( ( c0_1(a2523)
        & ~ c3_1(a2523)
        & ndr1_0
        & c1_1(a2523) )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0
        & ~ c2_1(a2519) )
      | ~ hskp3 )
    & ( hskp3
      | ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | ~ c2_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | c3_1(X111) ) )
      | hskp10
      | hskp29 )
    & ( ( c2_1(a2552)
        & ndr1_0
        & ~ c3_1(a2552)
        & ~ c1_1(a2552) )
      | ~ hskp22 )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | c3_1(X15)
            | c1_1(X15) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | c0_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c1_1(X14)
            | ~ c0_1(X14) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | ~ c3_1(X57)
            | c2_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c3_1(X56)
            | ~ c1_1(X56) ) ) )
    & ( ( ndr1_0
        & c1_1(a2526)
        & ~ c0_1(a2526)
        & c3_1(a2526) )
      | ~ hskp9 )
    & ( hskp12
      | ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | ~ c2_1(X93)
            | c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c0_1(X94)
            | ~ c1_1(X94) ) ) )
    & ( ( c1_1(a2524)
        & ~ c2_1(a2524)
        & ndr1_0
        & c3_1(a2524) )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2539)
        & ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539) )
      | ~ hskp15 )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | c0_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | c3_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | ~ c3_1(X49)
            | c0_1(X49) ) )
      | hskp0
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c0_1(X48)
            | c2_1(X48) ) ) )
    & ( hskp23
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | hskp31 )
    & ( hskp1
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c1_1(X22)
            | c2_1(X22) ) )
      | hskp23 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c3_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp11
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | c1_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | ~ c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp13
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c1_1(X72)
            | c0_1(X72) ) )
      | hskp4 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( ~ hskp28
      | ( c2_1(a2529)
        & c0_1(a2529)
        & c3_1(a2529)
        & ndr1_0 ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c1_1(X91)
            | ~ c3_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | ~ c1_1(X90)
            | ~ c2_1(X90) ) )
      | hskp4 )
    & ( hskp21
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ( c1_1(a2518)
        & ndr1_0
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) )
      | ~ hskp2 )
    & ( hskp14
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c2_1(X11)
            | c0_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | c2_1(X10)
            | ~ c1_1(X10) ) ) )
    & ( hskp25
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | ~ c0_1(X17) ) )
      | hskp3 )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | c1_1(X118)
            | ~ c0_1(X118) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | ~ c0_1(X117)
            | ~ c1_1(X117) ) )
      | hskp28 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c1_1(X0)
            | c3_1(X0)
            | c2_1(X0) ) )
      | hskp10
      | ! [X1] :
          ( ndr1_0
         => ( c2_1(X1)
            | c0_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp16
      | hskp19
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c2_1(X41) ) ) )
    & ( hskp30
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) )
      | hskp22 )
    & ( ( ~ c3_1(a2531)
        & c1_1(a2531)
        & c2_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c1_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | hskp24 )
    & ( hskp30
      | hskp9
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c0_1(X67)
            | c2_1(X67) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | c0_1(X5)
            | ~ c3_1(X5) ) )
      | hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | ~ c3_1(X6) ) ) )
    & ( hskp10
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | ~ c0_1(X4)
            | c2_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c3_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp16
      | ! [X97] :
          ( ndr1_0
         => ( c0_1(X97)
            | ~ c3_1(X97)
            | ~ c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | c1_1(X98)
            | ~ c2_1(X98) ) ) )
    & ( hskp4
      | hskp15
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c2_1(X12)
            | c0_1(X12) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c0_1(X69)
            | c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c2_1(X68)
            | c1_1(X68) ) )
      | hskp2 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c2_1(X115)
            | ~ c1_1(X115) ) )
      | hskp29
      | ! [X116] :
          ( ndr1_0
         => ( c1_1(X116)
            | ~ c3_1(X116)
            | c2_1(X116) ) ) )
    & ( hskp20
      | hskp14
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c1_1(X23)
            | c3_1(X23) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c3_1(X27)
            | c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c2_1(X28) ) ) )
    & ( ! [X119] :
          ( ndr1_0
         => ( c2_1(X119)
            | c3_1(X119)
            | ~ c0_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c1_1(X120)
            | ~ c0_1(X120)
            | c3_1(X120) ) )
      | hskp2 )
    & ( ~ hskp20
      | ( ~ c1_1(a2549)
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ndr1_0 ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp27
          | hskp23 )
        & ( ~ hskp8
          | ( ~ c3_1(a2525)
            & c0_1(a2525)
            & c2_1(a2525)
            & ndr1_0 ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c3_1(X74)
                | ~ c2_1(X74) ) )
          | hskp3
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c1_1(X85)
                | ~ c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) )
          | hskp18 )
        & ( ~ hskp21
          | ( ~ c2_1(a2551)
            & c0_1(a2551)
            & ndr1_0
            & c1_1(a2551) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c3_1(X42)
                | c0_1(X42) ) )
          | hskp17
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | ~ c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) ) )
        & ( ~ hskp23
          | ( ~ c1_1(a2553)
            & ~ c3_1(a2553)
            & c0_1(a2553)
            & ndr1_0 ) )
        & ( ( ~ c3_1(a2540)
            & c0_1(a2540)
            & ~ c2_1(a2540)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a2522)
            & c3_1(a2522)
            & c2_1(a2522)
            & ndr1_0 )
          | ~ hskp5 )
        & ( hskp7
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c2_1(X110)
                | c1_1(X110) ) ) )
        & ( hskp2
          | hskp20
          | hskp21 )
        & ( hskp9
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | c0_1(X65)
                | c3_1(X65) ) ) )
        & ( ~ hskp29
          | ( c3_1(a2556)
            & ndr1_0
            & c1_1(a2556)
            & c2_1(a2556) ) )
        & ( ( c0_1(a2558)
            & ndr1_0
            & c1_1(a2558)
            & c2_1(a2558) )
          | ~ hskp30 )
        & ( hskp14
          | ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp0
          | hskp24 )
        & ( hskp21
          | hskp26
          | hskp30 )
        & ( hskp4
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp9 )
        & ( ~ hskp14
          | ( ~ c1_1(a2536)
            & ~ c3_1(a2536)
            & ~ c0_1(a2536)
            & ndr1_0 ) )
        & ( ~ hskp25
          | ( c0_1(a2564)
            & ~ c2_1(a2564)
            & ndr1_0
            & ~ c1_1(a2564) ) )
        & ( ( ~ c3_1(a2533)
            & ndr1_0
            & ~ c1_1(a2533)
            & ~ c2_1(a2533) )
          | ~ hskp12 )
        & ( ~ hskp18
          | ( c1_1(a2545)
            & c2_1(a2545)
            & ndr1_0
            & ~ c0_1(a2545) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | hskp5
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ( ~ c1_1(a2541)
            & ~ c2_1(a2541)
            & c3_1(a2541)
            & ndr1_0 )
          | ~ hskp17 )
        & ( hskp16
          | hskp6
          | hskp19 )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c2_1(X19)
                | ~ c1_1(X19) ) ) )
        & ( ~ hskp24
          | ( ~ c1_1(a2555)
            & c2_1(a2555)
            & ndr1_0
            & c0_1(a2555) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) )
          | hskp4
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | c0_1(X103)
                | c1_1(X103) ) ) )
        & ( ~ hskp31
          | ( c3_1(a2597)
            & c1_1(a2597)
            & c0_1(a2597)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a2517)
            & ~ c3_1(a2517)
            & c2_1(a2517)
            & ndr1_0 )
          | ~ hskp1 )
        & ( hskp24
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) ) )
        & ( ( c3_1(a2548)
            & ~ c1_1(a2548)
            & ndr1_0
            & c0_1(a2548) )
          | ~ hskp19 )
        & ( ( ndr1_0
            & ~ c0_1(a2516)
            & ~ c1_1(a2516)
            & ~ c2_1(a2516) )
          | ~ hskp0 )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c0_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c3_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp7
          | hskp8 )
        & ( hskp28
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c1_1(X92)
                | c3_1(X92) ) )
          | hskp1 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c3_1(X2)
                | ~ c0_1(X2) ) )
          | hskp22
          | hskp5 )
        & ( hskp2
          | hskp27
          | hskp3 )
        & ( hskp19
          | hskp20
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c1_1(X25)
                | c2_1(X25) ) ) )
        & ( ( ~ c3_1(a2614)
            & c1_1(a2614)
            & ndr1_0
            & ~ c2_1(a2614) )
          | ~ hskp27 )
        & ( hskp0
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c2_1(X105)
                | c1_1(X105) ) )
          | hskp18 )
        & ( hskp21
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | hskp22 )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c3_1(X36)
                | ~ c0_1(X36) ) )
          | hskp21 )
        & ( hskp1
          | hskp18
          | hskp21 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | c2_1(X39) ) )
          | hskp8
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c0_1(X88)
                | c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp1
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c0_1(X89)
                | c3_1(X89) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | hskp1
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) ) )
        & ( hskp6
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c3_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp25
          | hskp24
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) ) )
        & ( ( c0_1(a2601)
            & ~ c2_1(a2601)
            & c3_1(a2601)
            & ndr1_0 )
          | ~ hskp26 )
        & ( hskp6
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp20 )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c0_1(X31)
                | c2_1(X31) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) )
          | hskp13
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( ~ hskp4
          | ( c3_1(a2521)
            & c2_1(a2521)
            & ~ c1_1(a2521)
            & ndr1_0 ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | ~ c2_1(X21)
                | ~ c0_1(X21) ) )
          | hskp25
          | hskp20 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c1_1(X114)
                | c0_1(X114) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c1_1(X113)
                | c0_1(X113)
                | ~ c2_1(X113) ) ) )
        & ( ( ~ c1_1(a2528)
            & c3_1(a2528)
            & ~ c0_1(a2528)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp18
          | hskp10 )
        & ( hskp28
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c0_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( hskp29
          | hskp2
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c1_1(X60)
                | c3_1(X60) ) ) )
        & ( hskp0
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c0_1(X95)
                | ~ c1_1(X95) ) )
          | hskp15 )
        & ( ~ hskp13
          | ( c1_1(a2534)
            & ndr1_0
            & ~ c0_1(a2534)
            & ~ c2_1(a2534) ) )
        & ( hskp7
          | hskp6
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c1_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) )
          | hskp0 )
        & ( hskp0
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) ) )
        & ( ( c0_1(a2523)
            & ~ c3_1(a2523)
            & ndr1_0
            & c1_1(a2523) )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2519)
            & ~ c0_1(a2519)
            & ndr1_0
            & ~ c2_1(a2519) )
          | ~ hskp3 )
        & ( hskp3
          | ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | ~ c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) )
          | hskp10
          | hskp29 )
        & ( ( c2_1(a2552)
            & ndr1_0
            & ~ c3_1(a2552)
            & ~ c1_1(a2552) )
          | ~ hskp22 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c3_1(X15)
                | c1_1(X15) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c0_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | ~ c0_1(X14) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c3_1(X57)
                | c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) ) )
        & ( ( ndr1_0
            & c1_1(a2526)
            & ~ c0_1(a2526)
            & c3_1(a2526) )
          | ~ hskp9 )
        & ( hskp12
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c0_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( ( c1_1(a2524)
            & ~ c2_1(a2524)
            & ndr1_0
            & c3_1(a2524) )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2539)
            & ndr1_0
            & c3_1(a2539)
            & ~ c0_1(a2539) )
          | ~ hskp15 )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c0_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c3_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c3_1(X49)
                | c0_1(X49) ) )
          | hskp0
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c2_1(X48) ) ) )
        & ( hskp23
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | hskp31 )
        & ( hskp1
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c1_1(X22)
                | c2_1(X22) ) )
          | hskp23 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c3_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp11
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | c1_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | ~ c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp13
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) )
          | hskp4 )
        & ( hskp12
          | hskp13
          | hskp7 )
        & ( ~ hskp28
          | ( c2_1(a2529)
            & c0_1(a2529)
            & c3_1(a2529)
            & ndr1_0 ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c1_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c1_1(X90)
                | ~ c2_1(X90) ) )
          | hskp4 )
        & ( hskp21
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ( c1_1(a2518)
            & ndr1_0
            & ~ c0_1(a2518)
            & ~ c3_1(a2518) )
          | ~ hskp2 )
        & ( hskp14
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c2_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | c2_1(X10)
                | ~ c1_1(X10) ) ) )
        & ( hskp25
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | ~ c0_1(X17) ) )
          | hskp3 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | c1_1(X118)
                | ~ c0_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | ~ c1_1(X117) ) )
          | hskp28 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c1_1(X0)
                | c3_1(X0)
                | c2_1(X0) ) )
          | hskp10
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c0_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp16
          | hskp19
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c2_1(X41) ) ) )
        & ( hskp30
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | hskp22 )
        & ( ( ~ c3_1(a2531)
            & c1_1(a2531)
            & c2_1(a2531)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c1_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | hskp24 )
        & ( hskp30
          | hskp9
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c0_1(X67)
                | c2_1(X67) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c0_1(X5)
                | ~ c3_1(X5) ) )
          | hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( hskp10
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c3_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp16
          | ! [X97] :
              ( ndr1_0
             => ( c0_1(X97)
                | ~ c3_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c1_1(X98)
                | ~ c2_1(X98) ) ) )
        & ( hskp4
          | hskp15
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c2_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c2_1(X68)
                | c1_1(X68) ) )
          | hskp2 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c2_1(X115)
                | ~ c1_1(X115) ) )
          | hskp29
          | ! [X116] :
              ( ndr1_0
             => ( c1_1(X116)
                | ~ c3_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp20
          | hskp14
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c1_1(X23)
                | c3_1(X23) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c3_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | c3_1(X119)
                | ~ c0_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c1_1(X120)
                | ~ c0_1(X120)
                | c3_1(X120) ) )
          | hskp2 )
        & ( ~ hskp20
          | ( ~ c1_1(a2549)
            & c2_1(a2549)
            & ~ c0_1(a2549)
            & ndr1_0 ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ( ~ c0_1(a2522)
            & c3_1(a2522)
            & c2_1(a2522)
            & ndr1_0 )
          | ~ hskp5 )
        & ( hskp10
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c0_1(X33)
                | c2_1(X33) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | ~ c0_1(X98) ) )
          | hskp22
          | hskp5 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp10
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( ( c0_1(a2558)
            & ndr1_0
            & c1_1(a2558)
            & c2_1(a2558) )
          | ~ hskp30 )
        & ( hskp14
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c3_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) ) )
        & ( hskp1
          | hskp18
          | hskp21 )
        & ( ~ hskp31
          | ( c3_1(a2597)
            & c1_1(a2597)
            & c0_1(a2597)
            & ndr1_0 ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c2_1(X14)
                | c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c0_1(X15)
                | ~ c2_1(X15) ) ) )
        & ( hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp2
          | hskp20
          | hskp21 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) )
          | hskp15
          | hskp4 )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c0_1(X46)
                | c3_1(X46) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c3_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c1_1(X47)
                | c3_1(X47) ) ) )
        & ( ( ~ c1_1(a2528)
            & c3_1(a2528)
            & ~ c0_1(a2528)
            & ndr1_0 )
          | ~ hskp10 )
        & ( hskp3
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c0_1(X35)
                | c2_1(X35) ) )
          | hskp28 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c2_1(X90)
                | c1_1(X90) ) )
          | hskp25
          | hskp3 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | ~ c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c1_1(X54)
                | c2_1(X54) ) ) )
        & ( hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | c3_1(X115) ) )
          | hskp20 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) )
          | hskp23
          | hskp1 )
        & ( hskp20
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c1_1(X89)
                | ~ c0_1(X89) ) )
          | hskp14 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c2_1(X107)
                | c3_1(X107) ) )
          | hskp4
          | hskp9 )
        & ( hskp20
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c3_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c0_1(X17)
                | ~ c2_1(X17) ) ) )
        & ( ~ hskp8
          | ( ~ c3_1(a2525)
            & c0_1(a2525)
            & c2_1(a2525)
            & ndr1_0 ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c0_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ~ hskp21
          | ( ~ c2_1(a2551)
            & c0_1(a2551)
            & ndr1_0
            & c1_1(a2551) ) )
        & ( ( c0_1(a2523)
            & ~ c3_1(a2523)
            & ndr1_0
            & c1_1(a2523) )
          | ~ hskp6 )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) )
          | hskp0 )
        & ( hskp21
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c1_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( ( ~ c3_1(a2614)
            & c1_1(a2614)
            & ndr1_0
            & ~ c2_1(a2614) )
          | ~ hskp27 )
        & ( hskp21
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c2_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c1_1(X103)
                | c3_1(X103) ) ) )
        & ( hskp8
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c1_1(X28)
                | c2_1(X28) ) ) )
        & ( hskp7
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c3_1(X26)
                | c0_1(X26) ) )
          | hskp6 )
        & ( ~ hskp25
          | ( c0_1(a2564)
            & ~ c2_1(a2564)
            & ndr1_0
            & ~ c1_1(a2564) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp19
          | hskp16 )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c0_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c1_1(X60)
                | c2_1(X60) ) )
          | hskp17 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | ~ c1_1(X32)
                | c2_1(X32) ) )
          | hskp1 )
        & ( ~ hskp20
          | ( ~ c1_1(a2549)
            & c2_1(a2549)
            & ~ c0_1(a2549)
            & ndr1_0 ) )
        & ( hskp16
          | hskp6
          | hskp19 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | ~ c3_1(X99) ) ) )
        & ( hskp0
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | c0_1(X41)
                | ~ c3_1(X41) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c0_1(X5)
                | c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp20
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c0_1(X119)
                | ~ c2_1(X119) ) )
          | hskp6 )
        & ( hskp24
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c3_1(X78)
                | c1_1(X78) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c2_1(X80) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ( ~ c3_1(a2519)
            & ~ c0_1(a2519)
            & ndr1_0
            & ~ c2_1(a2519) )
          | ~ hskp3 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c3_1(X67)
                | ~ c2_1(X67) ) )
          | hskp10
          | hskp18 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | hskp2
          | hskp29 )
        & ( ( ~ c3_1(a2533)
            & ndr1_0
            & ~ c1_1(a2533)
            & ~ c2_1(a2533) )
          | ~ hskp12 )
        & ( hskp23
          | hskp31
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) ) )
        & ( hskp0
          | hskp24 )
        & ( ( ~ c3_1(a2531)
            & c1_1(a2531)
            & c2_1(a2531)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c1_1(X76)
                | ~ c0_1(X76) ) )
          | hskp22
          | hskp21 )
        & ( hskp21
          | hskp26
          | hskp30 )
        & ( ~ hskp18
          | ( c1_1(a2545)
            & c2_1(a2545)
            & ndr1_0
            & ~ c0_1(a2545) ) )
        & ( ( c0_1(a2601)
            & ~ c2_1(a2601)
            & c3_1(a2601)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c3_1(X37)
                | c1_1(X37) ) )
          | hskp11
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c0_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c0_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c1_1(X30)
                | c3_1(X30) ) )
          | hskp9 )
        & ( hskp9
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) )
          | hskp30 )
        & ( ( c2_1(a2552)
            & ndr1_0
            & ~ c3_1(a2552)
            & ~ c1_1(a2552) )
          | ~ hskp22 )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | ~ c0_1(X8) ) )
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c0_1(X7)
                | c3_1(X7) ) ) )
        & ( ( c1_1(a2518)
            & ndr1_0
            & ~ c0_1(a2518)
            & ~ c3_1(a2518) )
          | ~ hskp2 )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | hskp4
          | hskp13 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c3_1(X118)
                | ~ c0_1(X118) ) )
          | hskp3 )
        & ( ~ hskp23
          | ( ~ c1_1(a2553)
            & ~ c3_1(a2553)
            & c0_1(a2553)
            & ndr1_0 ) )
        & ( ( ~ c3_1(a2540)
            & c0_1(a2540)
            & ~ c2_1(a2540)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2539)
            & ndr1_0
            & c3_1(a2539)
            & ~ c0_1(a2539) )
          | ~ hskp15 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c0_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c0_1(X20)
                | c1_1(X20) ) )
          | hskp0 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c1_1(X72)
                | ~ c3_1(X72) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c0_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3 )
        & ( ( ~ c1_1(a2541)
            & ~ c2_1(a2541)
            & c3_1(a2541)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | c2_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | hskp18 )
        & ( hskp2
          | hskp27
          | hskp3 )
        & ( hskp7
          | ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c3_1(X101)
                | ~ c2_1(X101) ) )
          | hskp8 )
        & ( ( ~ c0_1(a2517)
            & ~ c3_1(a2517)
            & c2_1(a2517)
            & ndr1_0 )
          | ~ hskp1 )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | ~ c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c3_1(X2)
                | c1_1(X2) ) ) )
        & ( hskp4
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp27
          | hskp23 )
        & ( ( ndr1_0
            & c1_1(a2526)
            & ~ c0_1(a2526)
            & c3_1(a2526) )
          | ~ hskp9 )
        & ( hskp28
          | hskp1
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c3_1(X116) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | hskp12
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp0
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c3_1(X61)
                | c0_1(X61) ) )
          | hskp15 )
        & ( ~ hskp4
          | ( c3_1(a2521)
            & c2_1(a2521)
            & ~ c1_1(a2521)
            & ndr1_0 ) )
        & ( hskp12
          | hskp13
          | hskp7 )
        & ( hskp22
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c1_1(X87)
                | ~ c0_1(X87) ) )
          | hskp30 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c1_1(X58)
                | ~ c2_1(X58) ) )
          | hskp16 )
        & ( hskp5
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c0_1(X24)
                | c1_1(X24) ) ) )
        & ( ~ hskp13
          | ( c1_1(a2534)
            & ndr1_0
            & ~ c0_1(a2534)
            & ~ c2_1(a2534) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c3_1(X110)
                | ~ c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c0_1(X111)
                | ~ c2_1(X111) ) )
          | hskp6 )
        & ( ( c1_1(a2524)
            & ~ c2_1(a2524)
            & ndr1_0
            & c3_1(a2524) )
          | ~ hskp7 )
        & ( ~ hskp29
          | ( c3_1(a2556)
            & ndr1_0
            & c1_1(a2556)
            & c2_1(a2556) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c3_1(X22)
                | c1_1(X22) ) )
          | hskp4
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) )
          | hskp18
          | hskp0 )
        & ( ~ hskp14
          | ( ~ c1_1(a2536)
            & ~ c3_1(a2536)
            & ~ c0_1(a2536)
            & ndr1_0 ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c1_1(X68)
                | c2_1(X68) ) ) )
        & ( hskp24
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c2_1(X109)
                | ~ c1_1(X109) ) )
          | hskp25 )
        & ( hskp7
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( ~ hskp24
          | ( ~ c1_1(a2555)
            & c2_1(a2555)
            & ndr1_0
            & c0_1(a2555) ) )
        & ( hskp10
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | c3_1(X114) ) ) )
        & ( ( c3_1(a2548)
            & ~ c1_1(a2548)
            & ndr1_0
            & c0_1(a2548) )
          | ~ hskp19 )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c0_1(X10)
                | ~ c2_1(X10) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a2516)
            & ~ c1_1(a2516)
            & ~ c2_1(a2516) )
          | ~ hskp0 )
        & ( ~ hskp28
          | ( c2_1(a2529)
            & c0_1(a2529)
            & c3_1(a2529)
            & ndr1_0 ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | ~ c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp28 )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c1_1(X85)
                | c3_1(X85) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ( ~ c0_1(a2522)
          & c3_1(a2522)
          & c2_1(a2522)
          & ndr1_0 )
        | ~ hskp5 )
      & ( hskp10
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | ~ c1_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c0_1(X33)
              | c2_1(X33) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | c1_1(X98)
              | ~ c0_1(X98) ) )
        | hskp22
        | hskp5 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp10
        | ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( ( c0_1(a2558)
          & ndr1_0
          & c1_1(a2558)
          & c2_1(a2558) )
        | ~ hskp30 )
      & ( hskp14
        | ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c3_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) ) )
      & ( hskp1
        | hskp18
        | hskp21 )
      & ( ~ hskp31
        | ( c3_1(a2597)
          & c1_1(a2597)
          & c0_1(a2597)
          & ndr1_0 ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | ~ c2_1(X14)
              | c0_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c0_1(X15)
              | ~ c2_1(X15) ) ) )
      & ( hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp2
        | hskp20
        | hskp21 )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) )
        | hskp15
        | hskp4 )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c0_1(X46)
              | c3_1(X46) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c3_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c1_1(X47)
              | c3_1(X47) ) ) )
      & ( ( ~ c1_1(a2528)
          & c3_1(a2528)
          & ~ c0_1(a2528)
          & ndr1_0 )
        | ~ hskp10 )
      & ( hskp3
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c0_1(X35)
              | c2_1(X35) ) )
        | hskp28 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c2_1(X90)
              | c1_1(X90) ) )
        | hskp25
        | hskp3 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c0_1(X55)
              | c3_1(X55) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c2_1(X53)
              | ~ c1_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c1_1(X54)
              | c2_1(X54) ) ) )
      & ( hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | c3_1(X115) ) )
        | hskp20 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | c2_1(X77) ) )
        | hskp23
        | hskp1 )
      & ( hskp20
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c1_1(X89)
              | ~ c0_1(X89) ) )
        | hskp14 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c2_1(X107)
              | c3_1(X107) ) )
        | hskp4
        | hskp9 )
      & ( hskp20
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c0_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c3_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c0_1(X17)
              | ~ c2_1(X17) ) ) )
      & ( ~ hskp8
        | ( ~ c3_1(a2525)
          & c0_1(a2525)
          & c2_1(a2525)
          & ndr1_0 ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c1_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c0_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( ~ hskp21
        | ( ~ c2_1(a2551)
          & c0_1(a2551)
          & ndr1_0
          & c1_1(a2551) ) )
      & ( ( c0_1(a2523)
          & ~ c3_1(a2523)
          & ndr1_0
          & c1_1(a2523) )
        | ~ hskp6 )
      & ( ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) )
        | hskp0 )
      & ( hskp21
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | c1_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( ( ~ c3_1(a2614)
          & c1_1(a2614)
          & ndr1_0
          & ~ c2_1(a2614) )
        | ~ hskp27 )
      & ( hskp21
        | ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | c2_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c1_1(X103)
              | c3_1(X103) ) ) )
      & ( hskp8
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c1_1(X28)
              | c2_1(X28) ) ) )
      & ( hskp7
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c3_1(X26)
              | c0_1(X26) ) )
        | hskp6 )
      & ( ~ hskp25
        | ( c0_1(a2564)
          & ~ c2_1(a2564)
          & ndr1_0
          & ~ c1_1(a2564) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp19
        | hskp16 )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c0_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | ~ c1_1(X60)
              | c2_1(X60) ) )
        | hskp17 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | ~ c1_1(X32)
              | c2_1(X32) ) )
        | hskp1 )
      & ( ~ hskp20
        | ( ~ c1_1(a2549)
          & c2_1(a2549)
          & ~ c0_1(a2549)
          & ndr1_0 ) )
      & ( hskp16
        | hskp6
        | hskp19 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | c1_1(X99)
              | ~ c3_1(X99) ) ) )
      & ( hskp0
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | c0_1(X41)
              | ~ c3_1(X41) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c0_1(X6)
              | ~ c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c0_1(X5)
              | c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp20
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c0_1(X119)
              | ~ c2_1(X119) ) )
        | hskp6 )
      & ( hskp24
        | ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c3_1(X78)
              | c1_1(X78) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c1_1(X80)
              | c2_1(X80) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) ) )
      & ( ( ~ c3_1(a2519)
          & ~ c0_1(a2519)
          & ndr1_0
          & ~ c2_1(a2519) )
        | ~ hskp3 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c3_1(X67)
              | ~ c2_1(X67) ) )
        | hskp10
        | hskp18 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | hskp2
        | hskp29 )
      & ( ( ~ c3_1(a2533)
          & ndr1_0
          & ~ c1_1(a2533)
          & ~ c2_1(a2533) )
        | ~ hskp12 )
      & ( hskp23
        | hskp31
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) ) )
      & ( hskp0
        | hskp24 )
      & ( ( ~ c3_1(a2531)
          & c1_1(a2531)
          & c2_1(a2531)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | c1_1(X76)
              | ~ c0_1(X76) ) )
        | hskp22
        | hskp21 )
      & ( hskp21
        | hskp26
        | hskp30 )
      & ( ~ hskp18
        | ( c1_1(a2545)
          & c2_1(a2545)
          & ndr1_0
          & ~ c0_1(a2545) ) )
      & ( ( c0_1(a2601)
          & ~ c2_1(a2601)
          & c3_1(a2601)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c3_1(X37)
              | c1_1(X37) ) )
        | hskp11
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c0_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c0_1(X29)
              | c2_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | ~ c1_1(X30)
              | c3_1(X30) ) )
        | hskp9 )
      & ( hskp9
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) )
        | hskp30 )
      & ( ( c2_1(a2552)
          & ndr1_0
          & ~ c3_1(a2552)
          & ~ c1_1(a2552) )
        | ~ hskp22 )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | ~ c0_1(X8) ) )
        | hskp2
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c0_1(X7)
              | c3_1(X7) ) ) )
      & ( ( c1_1(a2518)
          & ndr1_0
          & ~ c0_1(a2518)
          & ~ c3_1(a2518) )
        | ~ hskp2 )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | hskp4
        | hskp13 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c2_1(X117) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c3_1(X118)
              | ~ c0_1(X118) ) )
        | hskp3 )
      & ( ~ hskp23
        | ( ~ c1_1(a2553)
          & ~ c3_1(a2553)
          & c0_1(a2553)
          & ndr1_0 ) )
      & ( ( ~ c3_1(a2540)
          & c0_1(a2540)
          & ~ c2_1(a2540)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2539)
          & ndr1_0
          & c3_1(a2539)
          & ~ c0_1(a2539) )
        | ~ hskp15 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | ~ c0_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c0_1(X20)
              | c1_1(X20) ) )
        | hskp0 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c1_1(X72)
              | ~ c3_1(X72) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c0_1(X13)
              | ~ c2_1(X13) ) )
        | hskp3 )
      & ( ( ~ c1_1(a2541)
          & ~ c2_1(a2541)
          & c3_1(a2541)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c0_1(X64)
              | ~ c3_1(X64) ) ) )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | c2_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c2_1(X113)
              | ~ c3_1(X113) ) )
        | hskp18 )
      & ( hskp2
        | hskp27
        | hskp3 )
      & ( hskp7
        | ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c3_1(X101)
              | ~ c2_1(X101) ) )
        | hskp8 )
      & ( ( ~ c0_1(a2517)
          & ~ c3_1(a2517)
          & c2_1(a2517)
          & ndr1_0 )
        | ~ hskp1 )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | ~ c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c3_1(X2)
              | c1_1(X2) ) ) )
      & ( hskp4
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp27
        | hskp23 )
      & ( ( ndr1_0
          & c1_1(a2526)
          & ~ c0_1(a2526)
          & c3_1(a2526) )
        | ~ hskp9 )
      & ( hskp28
        | hskp1
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | c3_1(X116) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | hskp12
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp0
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c3_1(X61)
              | c0_1(X61) ) )
        | hskp15 )
      & ( ~ hskp4
        | ( c3_1(a2521)
          & c2_1(a2521)
          & ~ c1_1(a2521)
          & ndr1_0 ) )
      & ( hskp12
        | hskp13
        | hskp7 )
      & ( hskp22
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c1_1(X87)
              | ~ c0_1(X87) ) )
        | hskp30 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c1_1(X58)
              | ~ c2_1(X58) ) )
        | hskp16 )
      & ( hskp5
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | ~ c0_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c0_1(X24)
              | c1_1(X24) ) ) )
      & ( ~ hskp13
        | ( c1_1(a2534)
          & ndr1_0
          & ~ c0_1(a2534)
          & ~ c2_1(a2534) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c3_1(X110)
              | ~ c1_1(X110) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c0_1(X111)
              | ~ c2_1(X111) ) )
        | hskp6 )
      & ( ( c1_1(a2524)
          & ~ c2_1(a2524)
          & ndr1_0
          & c3_1(a2524) )
        | ~ hskp7 )
      & ( ~ hskp29
        | ( c3_1(a2556)
          & ndr1_0
          & c1_1(a2556)
          & c2_1(a2556) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c3_1(X22)
              | c1_1(X22) ) )
        | hskp4
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) )
        | hskp18
        | hskp0 )
      & ( ~ hskp14
        | ( ~ c1_1(a2536)
          & ~ c3_1(a2536)
          & ~ c0_1(a2536)
          & ndr1_0 ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c1_1(X68)
              | c2_1(X68) ) ) )
      & ( hskp24
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | c2_1(X109)
              | ~ c1_1(X109) ) )
        | hskp25 )
      & ( hskp7
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c1_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( ~ hskp24
        | ( ~ c1_1(a2555)
          & c2_1(a2555)
          & ndr1_0
          & c0_1(a2555) ) )
      & ( hskp10
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c1_1(X114)
              | c3_1(X114) ) ) )
      & ( ( c3_1(a2548)
          & ~ c1_1(a2548)
          & ndr1_0
          & c0_1(a2548) )
        | ~ hskp19 )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c0_1(X10)
              | ~ c2_1(X10) ) ) )
      & ( ( ndr1_0
          & ~ c0_1(a2516)
          & ~ c1_1(a2516)
          & ~ c2_1(a2516) )
        | ~ hskp0 )
      & ( ~ hskp28
        | ( c2_1(a2529)
          & c0_1(a2529)
          & c3_1(a2529)
          & ndr1_0 ) )
      & ( hskp29
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | ~ c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp28 )
      & ( hskp2
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c1_1(X85)
              | c3_1(X85) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1064,plain,
    ( spl0_59
    | spl0_103
    | ~ spl0_5
    | spl0_102 ),
    inference(avatar_split_clause,[],[f212,f713,f274,f719,f504]) ).

fof(f504,plain,
    ( spl0_59
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f274,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f212,plain,
    ! [X21,X20] :
      ( ~ c0_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | ~ c3_1(X20)
      | ~ c0_1(X21)
      | ~ c2_1(X20)
      | hskp3
      | ~ c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X21,X20] :
      ( ~ c1_1(X21)
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | ~ c2_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | hskp3
      | ~ c0_1(X20) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1057,plain,
    ( spl0_159
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f55,f556,f1054]) ).

fof(f556,plain,
    ( spl0_71
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f55,plain,
    ( ~ hskp5
    | c3_1(a2522) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1052,plain,
    ( ~ spl0_5
    | spl0_14
    | spl0_62
    | spl0_41 ),
    inference(avatar_split_clause,[],[f213,f424,f518,f311,f274]) ).

fof(f311,plain,
    ( spl0_14
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f213,plain,
    ! [X86,X85] :
      ( c3_1(X86)
      | ~ c1_1(X86)
      | c3_1(X85)
      | hskp21
      | ~ ndr1_0
      | ~ c0_1(X86)
      | c2_1(X85)
      | ~ c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f59,plain,
    ! [X86,X85] :
      ( ~ c0_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | ~ c0_1(X86)
      | c2_1(X85)
      | hskp21
      | ~ ndr1_0
      | c3_1(X85)
      | c3_1(X86) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1050,plain,
    ( ~ spl0_158
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f64,f504,f1047]) ).

fof(f64,plain,
    ( ~ hskp3
    | ~ c0_1(a2519) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1045,plain,
    ( spl0_157
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f98,f360,f1042]) ).

fof(f360,plain,
    ( spl0_26
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f98,plain,
    ( ~ hskp6
    | c0_1(a2523) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1039,plain,
    ( ~ spl0_51
    | spl0_156 ),
    inference(avatar_split_clause,[],[f134,f1036,f466]) ).

fof(f466,plain,
    ( spl0_51
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f134,plain,
    ( c3_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1034,plain,
    ( spl0_155
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f141,f514,f1031]) ).

fof(f514,plain,
    ( spl0_61
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f141,plain,
    ( ~ hskp24
    | c2_1(a2555) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1019,plain,
    ( ~ spl0_152
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f149,f419,f1016]) ).

fof(f419,plain,
    ( spl0_40
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f149,plain,
    ( ~ hskp1
    | ~ c3_1(a2517) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1014,plain,
    ( ~ spl0_151
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f76,f386,f1011]) ).

fof(f386,plain,
    ( spl0_33
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f76,plain,
    ( ~ hskp20
    | ~ c1_1(a2549) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1008,plain,
    ( ~ spl0_38
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f163,f1005,f410]) ).

fof(f410,plain,
    ( spl0_38
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f163,plain,
    ( ~ c1_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f997,plain,
    ( ~ spl0_148
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f205,f265,f994]) ).

fof(f265,plain,
    ( spl0_3
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f205,plain,
    ( ~ hskp16
    | ~ c2_1(a2540) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f992,plain,
    ( ~ spl0_17
    | spl0_147 ),
    inference(avatar_split_clause,[],[f79,f989,f325]) ).

fof(f325,plain,
    ( spl0_17
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f79,plain,
    ( c3_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f987,plain,
    ( spl0_29
    | spl0_104
    | spl0_8
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f217,f274,f285,f728,f372]) ).

fof(f217,plain,
    ! [X28,X29,X27] :
      ( ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c3_1(X27)
      | ~ c1_1(X27)
      | ~ c0_1(X28)
      | ~ c0_1(X27)
      | ~ c2_1(X28)
      | c2_1(X29)
      | c0_1(X29)
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X28,X29,X27] :
      ( ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ c0_1(X28)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | ~ c3_1(X29)
      | c2_1(X29) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f986,plain,
    ( ~ spl0_52
    | spl0_5 ),
    inference(avatar_split_clause,[],[f36,f274,f471]) ).

fof(f471,plain,
    ( spl0_52
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f36,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f985,plain,
    ( ~ spl0_78
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f184,f982,f589]) ).

fof(f589,plain,
    ( spl0_78
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f184,plain,
    ( ~ c2_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( spl0_145
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f153,f698,f976]) ).

fof(f698,plain,
    ( spl0_99
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f153,plain,
    ( ~ hskp26
    | c3_1(a2601) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f974,plain,
    ( spl0_144
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f130,f551,f971]) ).

fof(f551,plain,
    ( spl0_70
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f130,plain,
    ( ~ hskp28
    | c0_1(a2529) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f969,plain,
    ( ~ spl0_5
    | spl0_67
    | spl0_43
    | spl0_103 ),
    inference(avatar_split_clause,[],[f218,f719,f431,f538,f274]) ).

fof(f218,plain,
    ! [X120,X118,X119] :
      ( ~ c1_1(X120)
      | c1_1(X118)
      | ~ c0_1(X120)
      | ~ c1_1(X119)
      | c3_1(X119)
      | ~ c2_1(X120)
      | c3_1(X118)
      | ~ ndr1_0
      | c0_1(X118)
      | c0_1(X119) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ! [X120,X118,X119] :
      ( c1_1(X118)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X118)
      | c0_1(X119)
      | ~ ndr1_0
      | ~ c1_1(X119)
      | ~ c0_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | c3_1(X119)
      | c0_1(X118) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f966,plain,
    ( ~ spl0_143
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f158,f289,f963]) ).

fof(f289,plain,
    ( spl0_9
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f158,plain,
    ( ~ hskp13
    | ~ c0_1(a2534) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f960,plain,
    ( ~ spl0_81
    | spl0_142 ),
    inference(avatar_split_clause,[],[f112,f957,f603]) ).

fof(f603,plain,
    ( spl0_81
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f112,plain,
    ( c1_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f955,plain,
    ( spl0_141
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f197,f435,f952]) ).

fof(f435,plain,
    ( spl0_44
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f197,plain,
    ( ~ hskp22
    | c2_1(a2552) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f944,plain,
    ( ~ spl0_139
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f142,f514,f941]) ).

fof(f142,plain,
    ( ~ hskp24
    | ~ c1_1(a2555) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( ~ spl0_5
    | spl0_11
    | spl0_74
    | spl0_34 ),
    inference(avatar_split_clause,[],[f123,f390,f571,f298,f274]) ).

fof(f298,plain,
    ( spl0_11
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f390,plain,
    ( spl0_34
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f123,plain,
    ! [X39] :
      ( hskp2
      | ~ c0_1(X39)
      | c3_1(X39)
      | c1_1(X39)
      | hskp29
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f931,plain,
    ( ~ spl0_58
    | spl0_137 ),
    inference(avatar_split_clause,[],[f209,f928,f499]) ).

fof(f499,plain,
    ( spl0_58
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f209,plain,
    ( c0_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f926,plain,
    ( spl0_99
    | spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f144,f471,f311,f698]) ).

fof(f144,plain,
    ( hskp30
    | hskp21
    | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f924,plain,
    ( spl0_74
    | ~ spl0_5
    | spl0_62
    | spl0_34 ),
    inference(avatar_split_clause,[],[f221,f390,f518,f274,f571]) ).

fof(f221,plain,
    ! [X10,X9] :
      ( hskp2
      | c3_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | c3_1(X9)
      | ~ c0_1(X9)
      | c1_1(X9) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X10,X9] :
      ( c3_1(X10)
      | ~ ndr1_0
      | c1_1(X9)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | c3_1(X9)
      | hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f923,plain,
    ( spl0_136
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f148,f419,f920]) ).

fof(f148,plain,
    ( ~ hskp1
    | c2_1(a2517) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f915,plain,
    ( spl0_5
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f152,f698,f274]) ).

fof(f152,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f914,plain,
    ( spl0_135
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f139,f514,f911]) ).

fof(f139,plain,
    ( ~ hskp24
    | c0_1(a2555) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f908,plain,
    ( ~ spl0_70
    | spl0_134 ),
    inference(avatar_split_clause,[],[f129,f905,f551]) ).

fof(f129,plain,
    ( c3_1(a2529)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f903,plain,
    ( ~ spl0_37
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f49,f900,f405]) ).

fof(f405,plain,
    ( spl0_37
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f49,plain,
    ( ~ c2_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f898,plain,
    ( ~ spl0_81
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f111,f895,f603]) ).

fof(f111,plain,
    ( ~ c2_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f893,plain,
    ( ~ spl0_5
    | spl0_23
    | spl0_70
    | spl0_103 ),
    inference(avatar_split_clause,[],[f224,f719,f551,f348,f274]) ).

fof(f224,plain,
    ! [X114,X115] :
      ( ~ c2_1(X114)
      | hskp28
      | c1_1(X115)
      | ~ c1_1(X114)
      | ~ c0_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | ~ c0_1(X114) ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ! [X114,X115] :
      ( ~ ndr1_0
      | ~ c1_1(X114)
      | ~ c2_1(X114)
      | ~ c0_1(X115)
      | hskp28
      | ~ c3_1(X115)
      | c1_1(X115)
      | ~ ndr1_0
      | ~ c0_1(X114) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f892,plain,
    ( ~ spl0_5
    | spl0_38
    | spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f58,f518,f336,f410,f274]) ).

fof(f336,plain,
    ( spl0_20
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f58,plain,
    ! [X87] :
      ( ~ c0_1(X87)
      | c2_1(X87)
      | c3_1(X87)
      | hskp9
      | hskp4
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f891,plain,
    ( ~ spl0_131
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f119,f534,f888]) ).

fof(f534,plain,
    ( spl0_66
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f119,plain,
    ( ~ hskp12
    | ~ c2_1(a2533) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f886,plain,
    ( ~ spl0_5
    | spl0_44
    | spl0_23
    | spl0_71 ),
    inference(avatar_split_clause,[],[f137,f556,f348,f435,f274]) ).

fof(f137,plain,
    ! [X37] :
      ( hskp5
      | c1_1(X37)
      | ~ c0_1(X37)
      | hskp22
      | ~ c3_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f885,plain,
    ( ~ spl0_73
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f14,f882,f566]) ).

fof(f566,plain,
    ( spl0_73
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f14,plain,
    ( ~ c1_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f878,plain,
    ( ~ spl0_129
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f47,f405,f875]) ).

fof(f47,plain,
    ( ~ hskp25
    | ~ c1_1(a2564) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f872,plain,
    ( ~ spl0_128
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f135,f466,f869]) ).

fof(f135,plain,
    ( ~ hskp17
    | ~ c2_1(a2541) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f867,plain,
    ( spl0_51
    | ~ spl0_5
    | spl0_28
    | spl0_18 ),
    inference(avatar_split_clause,[],[f226,f329,f369,f274,f466]) ).

fof(f226,plain,
    ! [X59,X60] :
      ( c2_1(X60)
      | c0_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | hskp17
      | ~ c1_1(X59)
      | c3_1(X60)
      | ~ c3_1(X59) ),
    inference(duplicate_literal_removal,[],[f89]) ).

fof(f89,plain,
    ! [X59,X60] :
      ( ~ c1_1(X59)
      | ~ c1_1(X60)
      | hskp17
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | c2_1(X60)
      | ~ ndr1_0
      | c0_1(X59) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f866,plain,
    ( spl0_58
    | spl0_78 ),
    inference(avatar_split_clause,[],[f151,f589,f499]) ).

fof(f151,plain,
    ( hskp27
    | hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f864,plain,
    ( ~ spl0_127
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f85,f311,f861]) ).

fof(f85,plain,
    ( ~ hskp21
    | ~ c2_1(a2551) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f859,plain,
    ( ~ spl0_99
    | spl0_126 ),
    inference(avatar_split_clause,[],[f155,f856,f698]) ).

fof(f155,plain,
    ( c0_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f854,plain,
    ( ~ spl0_20
    | spl0_125 ),
    inference(avatar_split_clause,[],[f126,f851,f336]) ).

fof(f126,plain,
    ( c1_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f849,plain,
    ( spl0_59
    | spl0_37
    | ~ spl0_5
    | spl0_29 ),
    inference(avatar_split_clause,[],[f60,f372,f274,f405,f504]) ).

fof(f60,plain,
    ! [X84] :
      ( ~ c0_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | hskp25
      | hskp3
      | c1_1(X84) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f848,plain,
    ( ~ spl0_124
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f74,f386,f845]) ).

fof(f74,plain,
    ( ~ hskp20
    | ~ c0_1(a2549) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f842,plain,
    ( ~ spl0_5
    | spl0_33
    | spl0_102
    | spl0_26 ),
    inference(avatar_split_clause,[],[f93,f360,f713,f386,f274]) ).

fof(f93,plain,
    ! [X51] :
      ( hskp6
      | ~ c0_1(X51)
      | ~ c3_1(X51)
      | hskp20
      | ~ c2_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f841,plain,
    ( ~ spl0_71
    | spl0_123 ),
    inference(avatar_split_clause,[],[f54,f838,f556]) ).

fof(f54,plain,
    ( c2_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f836,plain,
    ( spl0_61
    | ~ spl0_5
    | spl0_85
    | spl0_37 ),
    inference(avatar_split_clause,[],[f81,f405,f625,f274,f514]) ).

fof(f81,plain,
    ! [X67] :
      ( hskp25
      | c2_1(X67)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | hskp24
      | ~ c0_1(X67) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f835,plain,
    ( ~ spl0_3
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f207,f832,f265]) ).

fof(f207,plain,
    ( ~ c3_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f830,plain,
    ( spl0_121
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f186,f589,f827]) ).

fof(f186,plain,
    ( ~ hskp27
    | c1_1(a2614) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f825,plain,
    ( ~ spl0_5
    | spl0_32
    | spl0_46
    | spl0_47 ),
    inference(avatar_split_clause,[],[f227,f448,f444,f382,f274]) ).

fof(f448,plain,
    ( spl0_47
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f227,plain,
    ! [X90,X91] :
      ( hskp8
      | c0_1(X90)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c1_1(X91)
      | c2_1(X91) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ! [X90,X91] :
      ( c2_1(X90)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | c0_1(X90)
      | c3_1(X90)
      | c2_1(X91)
      | c1_1(X91)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f822,plain,
    ( ~ spl0_11
    | spl0_120 ),
    inference(avatar_split_clause,[],[f174,f819,f298]) ).

fof(f174,plain,
    ( c1_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f817,plain,
    ( ~ spl0_119
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f97,f360,f814]) ).

fof(f97,plain,
    ( ~ hskp6
    | ~ c3_1(a2523) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f811,plain,
    ( spl0_118
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f28,f390,f808]) ).

fof(f28,plain,
    ( ~ hskp2
    | c1_1(a2518) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f805,plain,
    ( ~ spl0_66
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f122,f802,f534]) ).

fof(f122,plain,
    ( ~ c3_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f800,plain,
    ( ~ spl0_5
    | spl0_9
    | spl0_80
    | spl0_32 ),
    inference(avatar_split_clause,[],[f228,f382,f599,f289,f274]) ).

fof(f228,plain,
    ! [X18,X19] :
      ( c2_1(X18)
      | c0_1(X19)
      | ~ c0_1(X18)
      | c1_1(X18)
      | hskp13
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X18,X19] :
      ( ~ ndr1_0
      | c0_1(X19)
      | ~ ndr1_0
      | hskp13
      | ~ c0_1(X18)
      | ~ c2_1(X19)
      | c1_1(X18)
      | c2_1(X18)
      | ~ c1_1(X19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f797,plain,
    ( ~ spl0_52
    | spl0_116 ),
    inference(avatar_split_clause,[],[f35,f794,f471]) ).

fof(f35,plain,
    ( c1_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f792,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_80
    | spl0_74 ),
    inference(avatar_split_clause,[],[f229,f571,f599,f282,f274]) ).

fof(f229,plain,
    ! [X72,X73,X74] :
      ( c3_1(X73)
      | c0_1(X74)
      | c2_1(X72)
      | ~ c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X72)
      | c1_1(X72)
      | c1_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f70,plain,
    ! [X72,X73,X74] :
      ( ~ c2_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | c1_1(X72)
      | c3_1(X73)
      | c2_1(X72)
      | ~ c1_1(X74)
      | c0_1(X74)
      | ~ ndr1_0
      | c1_1(X73) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f791,plain,
    ( ~ spl0_115
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f125,f336,f788]) ).

fof(f125,plain,
    ( ~ hskp9
    | ~ c0_1(a2526) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f780,plain,
    ( spl0_113
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f34,f471,f777]) ).

fof(f34,plain,
    ( ~ hskp30
    | c2_1(a2558) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f770,plain,
    ( ~ spl0_5
    | spl0_32
    | spl0_58
    | spl0_40 ),
    inference(avatar_split_clause,[],[f143,f419,f499,f382,f274]) ).

fof(f143,plain,
    ! [X34] :
      ( hskp1
      | hskp23
      | c2_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c1_1(X34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f768,plain,
    ( spl0_59
    | spl0_70
    | spl0_19
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f180,f274,f332,f551,f504]) ).

fof(f180,plain,
    ! [X17] :
      ( ~ ndr1_0
      | c0_1(X17)
      | ~ c1_1(X17)
      | hskp28
      | c2_1(X17)
      | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( ~ spl0_5
    | spl0_80
    | spl0_64
    | spl0_29 ),
    inference(avatar_split_clause,[],[f232,f372,f527,f599,f274]) ).

fof(f232,plain,
    ! [X58,X56,X57] :
      ( ~ c2_1(X58)
      | c1_1(X56)
      | c0_1(X57)
      | c0_1(X56)
      | ~ c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | c1_1(X58)
      | ~ c2_1(X57)
      | ~ c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f90]) ).

fof(f90,plain,
    ! [X58,X56,X57] :
      ( ~ ndr1_0
      | c0_1(X57)
      | ~ c2_1(X58)
      | ~ c2_1(X56)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | c0_1(X56)
      | c1_1(X58)
      | c1_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f766,plain,
    ( ~ spl0_14
    | spl0_5 ),
    inference(avatar_split_clause,[],[f83,f274,f311]) ).

fof(f83,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f765,plain,
    ( ~ spl0_34
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f26,f762,f390]) ).

fof(f26,plain,
    ( ~ c0_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f760,plain,
    ( ~ spl0_110
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f25,f390,f757]) ).

fof(f25,plain,
    ( ~ hskp2
    | ~ c3_1(a2518) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f755,plain,
    ( ~ spl0_38
    | spl0_109 ),
    inference(avatar_split_clause,[],[f164,f752,f410]) ).

fof(f164,plain,
    ( c2_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f746,plain,
    ( spl0_61
    | ~ spl0_5
    | spl0_62
    | spl0_7 ),
    inference(avatar_split_clause,[],[f233,f282,f518,f274,f514]) ).

fof(f233,plain,
    ! [X41,X42] :
      ( ~ c3_1(X42)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | hskp24
      | c3_1(X41)
      | c2_1(X42)
      | c2_1(X41) ),
    inference(duplicate_literal_removal,[],[f113]) ).

fof(f113,plain,
    ! [X41,X42] :
      ( c3_1(X41)
      | hskp24
      | c2_1(X41)
      | c2_1(X42)
      | ~ c3_1(X42)
      | c1_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f741,plain,
    ( ~ spl0_106
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f210,f499,f738]) ).

fof(f210,plain,
    ( ~ hskp23
    | ~ c3_1(a2553) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f736,plain,
    ( ~ spl0_105
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f56,f556,f733]) ).

fof(f56,plain,
    ( ~ hskp5
    | ~ c0_1(a2522) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f722,plain,
    ( ~ spl0_5
    | spl0_81
    | spl0_26
    | spl0_75 ),
    inference(avatar_split_clause,[],[f32,f574,f360,f603,f274]) ).

fof(f32,plain,
    ! [X106] :
      ( c1_1(X106)
      | hskp6
      | ~ c3_1(X106)
      | hskp7
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f715,plain,
    ( spl0_26
    | ~ spl0_5
    | spl0_102
    | spl0_98 ),
    inference(avatar_split_clause,[],[f237,f694,f713,f274,f360]) ).

fof(f237,plain,
    ! [X78,X79] :
      ( c2_1(X78)
      | ~ c3_1(X78)
      | ~ c2_1(X79)
      | ~ c1_1(X78)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f68,plain,
    ! [X78,X79] :
      ( ~ ndr1_0
      | hskp6
      | ~ c3_1(X78)
      | ~ c0_1(X79)
      | c2_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c3_1(X79)
      | ~ c2_1(X79) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f710,plain,
    ( ~ spl0_73
    | spl0_101 ),
    inference(avatar_split_clause,[],[f15,f707,f566]) ).

fof(f15,plain,
    ( c3_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f705,plain,
    ( ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f154,f702,f698]) ).

fof(f154,plain,
    ( ~ c2_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f691,plain,
    ( ~ spl0_5
    | spl0_20
    | spl0_18
    | spl0_46 ),
    inference(avatar_split_clause,[],[f239,f444,f329,f336,f274]) ).

fof(f239,plain,
    ! [X94,X95] :
      ( c2_1(X95)
      | c3_1(X94)
      | hskp9
      | c2_1(X94)
      | ~ c1_1(X94)
      | c0_1(X95)
      | c3_1(X95)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f46,plain,
    ! [X94,X95] :
      ( c0_1(X95)
      | ~ c1_1(X94)
      | c3_1(X95)
      | c2_1(X94)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X95)
      | c3_1(X94)
      | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f690,plain,
    ( ~ spl0_47
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f193,f687,f448]) ).

fof(f193,plain,
    ( ~ c3_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f685,plain,
    ( spl0_32
    | spl0_44
    | ~ spl0_5
    | spl0_14 ),
    inference(avatar_split_clause,[],[f30,f311,f274,f435,f382]) ).

fof(f30,plain,
    ! [X107] :
      ( hskp21
      | ~ ndr1_0
      | hskp22
      | ~ c0_1(X107)
      | c2_1(X107)
      | c1_1(X107) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f684,plain,
    ( spl0_81
    | spl0_18
    | spl0_32
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f240,f274,f382,f329,f603]) ).

fof(f240,plain,
    ! [X88,X89] :
      ( ~ ndr1_0
      | c2_1(X88)
      | ~ c0_1(X88)
      | c1_1(X88)
      | c2_1(X89)
      | c3_1(X89)
      | hskp7
      | ~ c1_1(X89) ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f57,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | c2_1(X89)
      | ~ ndr1_0
      | ~ c0_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | c3_1(X89)
      | hskp7
      | c1_1(X88) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f678,plain,
    ( ~ spl0_95
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f80,f325,f675]) ).

fof(f80,plain,
    ( ~ hskp10
    | ~ c1_1(a2528) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f673,plain,
    ( ~ spl0_9
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f157,f670,f289]) ).

fof(f157,plain,
    ( ~ c2_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f667,plain,
    ( ~ spl0_78
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f187,f664,f589]) ).

fof(f187,plain,
    ( ~ c3_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f647,plain,
    ( spl0_89
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f12,f566,f644]) ).

fof(f12,plain,
    ( ~ hskp19
    | c0_1(a2548) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f642,plain,
    ( ~ spl0_88
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f120,f534,f639]) ).

fof(f120,plain,
    ( ~ hskp12
    | ~ c1_1(a2533) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f637,plain,
    ( spl0_87
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f75,f386,f634]) ).

fof(f75,plain,
    ( ~ hskp20
    | c2_1(a2549) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f632,plain,
    ( ~ spl0_44
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f194,f629,f435]) ).

fof(f194,plain,
    ( ~ c1_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f622,plain,
    ( spl0_5
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f133,f466,f274]) ).

fof(f133,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f616,plain,
    ( ~ spl0_17
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f78,f613,f325]) ).

fof(f78,plain,
    ( ~ c0_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f610,plain,
    ( ~ spl0_81
    | spl0_82 ),
    inference(avatar_split_clause,[],[f109,f607,f603]) ).

fof(f109,plain,
    ( c3_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f601,plain,
    ( ~ spl0_5
    | spl0_59
    | spl0_80
    | spl0_64 ),
    inference(avatar_split_clause,[],[f242,f527,f599,f504,f274]) ).

fof(f242,plain,
    ! [X36,X35] :
      ( ~ c2_1(X35)
      | c1_1(X35)
      | ~ c1_1(X36)
      | c0_1(X36)
      | c0_1(X35)
      | ~ c2_1(X36)
      | hskp3
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c1_1(X35)
      | c0_1(X36)
      | ~ c1_1(X36)
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f597,plain,
    ( ~ spl0_79
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f65,f504,f594]) ).

fof(f65,plain,
    ( ~ hskp3
    | ~ c3_1(a2519) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f592,plain,
    ( spl0_78
    | spl0_59
    | spl0_34 ),
    inference(avatar_split_clause,[],[f156,f390,f504,f589]) ).

fof(f156,plain,
    ( hskp2
    | hskp3
    | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f581,plain,
    ( ~ spl0_76
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f150,f419,f578]) ).

fof(f150,plain,
    ( ~ hskp1
    | ~ c0_1(a2517) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f569,plain,
    ( spl0_26
    | spl0_73
    | spl0_3 ),
    inference(avatar_split_clause,[],[f189,f265,f566,f360]) ).

fof(f189,plain,
    ( hskp16
    | hskp19
    | hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f564,plain,
    ( ~ spl0_11
    | spl0_72 ),
    inference(avatar_split_clause,[],[f173,f561,f298]) ).

fof(f173,plain,
    ( c2_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f554,plain,
    ( spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f131,f551,f547]) ).

fof(f131,plain,
    ( ~ hskp28
    | c2_1(a2529) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f540,plain,
    ( spl0_66
    | ~ spl0_5
    | spl0_67
    | spl0_65 ),
    inference(avatar_split_clause,[],[f244,f530,f538,f274,f534]) ).

fof(f244,plain,
    ! [X46,X47] :
      ( ~ c2_1(X46)
      | ~ c0_1(X46)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c3_1(X46)
      | hskp12
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f101]) ).

fof(f101,plain,
    ! [X46,X47] :
      ( c0_1(X47)
      | ~ ndr1_0
      | hskp12
      | ~ c0_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | ~ c1_1(X47)
      | c3_1(X47) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f525,plain,
    ( spl0_63
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f191,f448,f522]) ).

fof(f191,plain,
    ( ~ hskp8
    | c2_1(a2525) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f520,plain,
    ( spl0_61
    | ~ spl0_5
    | spl0_30
    | spl0_62 ),
    inference(avatar_split_clause,[],[f246,f518,f376,f274,f514]) ).

fof(f246,plain,
    ! [X80,X81] :
      ( c3_1(X80)
      | ~ c2_1(X81)
      | ~ c3_1(X81)
      | c2_1(X80)
      | ~ ndr1_0
      | hskp24
      | c1_1(X81)
      | ~ c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f67,plain,
    ! [X80,X81] :
      ( c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp24
      | c2_1(X80)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | c3_1(X80) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f511,plain,
    ( ~ spl0_59
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f62,f508,f504]) ).

fof(f62,plain,
    ( ~ c2_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f502,plain,
    ( ~ spl0_57
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f211,f499,f495]) ).

fof(f211,plain,
    ( ~ hskp23
    | ~ c1_1(a2553) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f483,plain,
    ( ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f82,f480,f311]) ).

fof(f82,plain,
    ( c1_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f478,plain,
    ( ~ spl0_52
    | spl0_53 ),
    inference(avatar_split_clause,[],[f37,f475,f471]) ).

fof(f37,plain,
    ( c0_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f469,plain,
    ( ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f136,f466,f462]) ).

fof(f136,plain,
    ( ~ hskp17
    | ~ c1_1(a2541) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f455,plain,
    ( ~ spl0_47
    | spl0_48 ),
    inference(avatar_split_clause,[],[f192,f452,f448]) ).

fof(f192,plain,
    ( c0_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f446,plain,
    ( spl0_40
    | spl0_18
    | spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f247,f274,f444,f329,f419]) ).

fof(f247,plain,
    ! [X52,X53] :
      ( ~ ndr1_0
      | c3_1(X53)
      | c3_1(X52)
      | c2_1(X52)
      | hskp1
      | ~ c1_1(X52)
      | c2_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f92]) ).

fof(f92,plain,
    ! [X52,X53] :
      ( c3_1(X53)
      | c3_1(X52)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp1
      | c2_1(X52)
      | c0_1(X53)
      | c2_1(X53)
      | ~ c1_1(X52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f442,plain,
    ( ~ spl0_44
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f195,f439,f435]) ).

fof(f195,plain,
    ( ~ c3_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f433,plain,
    ( spl0_34
    | ~ spl0_5
    | spl0_43
    | spl0_29 ),
    inference(avatar_split_clause,[],[f248,f372,f431,f274,f390]) ).

fof(f248,plain,
    ! [X92,X93] :
      ( c1_1(X93)
      | c1_1(X92)
      | ~ c2_1(X93)
      | c3_1(X92)
      | ~ ndr1_0
      | ~ c0_1(X93)
      | c0_1(X92)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f51,plain,
    ! [X92,X93] :
      ( c1_1(X92)
      | ~ c2_1(X93)
      | hskp2
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X93)
      | c1_1(X93)
      | c3_1(X92)
      | c0_1(X92) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f429,plain,
    ( spl0_41
    | ~ spl0_5
    | spl0_7
    | spl0_42 ),
    inference(avatar_split_clause,[],[f249,f427,f282,f274,f424]) ).

fof(f249,plain,
    ! [X104,X105,X103] :
      ( ~ c2_1(X105)
      | c2_1(X103)
      | ~ ndr1_0
      | ~ c3_1(X103)
      | c3_1(X104)
      | ~ c1_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X105)
      | c1_1(X103)
      | ~ c3_1(X105) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X104,X105,X103] :
      ( ~ c3_1(X105)
      | ~ ndr1_0
      | c3_1(X104)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X105)
      | c1_1(X103)
      | ~ c1_1(X104)
      | ~ c1_1(X105)
      | ~ c0_1(X104)
      | c2_1(X103)
      | ~ c3_1(X103) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f417,plain,
    ( ~ spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f165,f414,f410]) ).

fof(f165,plain,
    ( c3_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f408,plain,
    ( spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f50,f405,f401]) ).

fof(f50,plain,
    ( ~ hskp25
    | c0_1(a2564) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f398,plain,
    ( ~ spl0_6
    | spl0_35 ),
    inference(avatar_split_clause,[],[f9,f395,f278]) ).

fof(f9,plain,
    ( c2_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f384,plain,
    ( ~ spl0_5
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f250,f382,f379,f376,f274]) ).

fof(f250,plain,
    ! [X70,X68,X69] :
      ( c1_1(X69)
      | ~ c0_1(X68)
      | ~ c2_1(X70)
      | ~ c0_1(X69)
      | c2_1(X68)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X68)
      | ~ c3_1(X70)
      | c2_1(X69) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f72,plain,
    ! [X70,X68,X69] :
      ( ~ c0_1(X69)
      | ~ c0_1(X68)
      | c2_1(X68)
      | c2_1(X69)
      | c1_1(X69)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f374,plain,
    ( spl0_3
    | ~ spl0_5
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f251,f372,f369,f274,f265]) ).

fof(f251,plain,
    ! [X22,X23] :
      ( ~ c2_1(X23)
      | c0_1(X22)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | hskp16
      | ~ c3_1(X22) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X22,X23] :
      ( hskp16
      | ~ c3_1(X22)
      | ~ c0_1(X23)
      | c0_1(X22)
      | c1_1(X23)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ ndr1_0
      | ~ c2_1(X23) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f367,plain,
    ( ~ spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f95,f364,f360]) ).

fof(f95,plain,
    ( c1_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f353,plain,
    ( ~ spl0_5
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f252,f351,f348,f345,f274]) ).

fof(f252,plain,
    ! [X101,X102,X100] :
      ( c0_1(X100)
      | ~ c3_1(X102)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c2_1(X100)
      | c1_1(X102)
      | c1_1(X101)
      | ~ c0_1(X102)
      | c3_1(X101) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f38,plain,
    ! [X101,X102,X100] :
      ( c3_1(X101)
      | c3_1(X100)
      | ~ c3_1(X102)
      | c0_1(X100)
      | c1_1(X101)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X101)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X100)
      | c1_1(X102) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f343,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f124,f340,f336]) ).

fof(f124,plain,
    ( c3_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f334,plain,
    ( spl0_17
    | spl0_18
    | spl0_19
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f253,f274,f332,f329,f325]) ).

fof(f253,plain,
    ! [X111,X110] :
      ( ~ ndr1_0
      | ~ c1_1(X111)
      | c3_1(X110)
      | c2_1(X110)
      | ~ c1_1(X110)
      | hskp10
      | c2_1(X111)
      | c0_1(X111) ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,plain,
    ! [X111,X110] :
      ( hskp10
      | ~ ndr1_0
      | c3_1(X110)
      | c2_1(X111)
      | ~ c1_1(X111)
      | c2_1(X110)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | c0_1(X111) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f314,plain,
    ( spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f84,f311,f307]) ).

fof(f84,plain,
    ( ~ hskp21
    | c0_1(a2551) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f305,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f176,f302,f298]) ).

fof(f176,plain,
    ( c3_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f296,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f160,f293,f289]) ).

fof(f160,plain,
    ( c1_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f287,plain,
    ( ~ spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f254,f285,f282,f278,f274]) ).

fof(f254,plain,
    ! [X48,X49] :
      ( c2_1(X49)
      | c1_1(X48)
      | hskp11
      | ~ c3_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | c2_1(X48) ),
    inference(duplicate_literal_removal,[],[f100]) ).

fof(f100,plain,
    ! [X48,X49] :
      ( ~ ndr1_0
      | ~ c3_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | c2_1(X49)
      | hskp11
      | c1_1(X48)
      | ~ c3_1(X48)
      | c2_1(X48) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f272,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f269,f265]) ).

fof(f206,plain,
    ( c0_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN489+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:02:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (892)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)
% 0.20/0.51  % (866)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (876)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)
% 0.20/0.52  % (866)Instruction limit reached!
% 0.20/0.52  % (866)------------------------------
% 0.20/0.52  % (866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (862)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (866)Termination reason: Unknown
% 0.20/0.54  % (866)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (866)Memory used [KB]: 2046
% 0.20/0.54  % (866)Time elapsed: 0.102 s
% 0.20/0.54  % (866)Instructions burned: 16 (million)
% 0.20/0.54  % (866)------------------------------
% 0.20/0.54  % (866)------------------------------
% 0.20/0.54  % (867)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (873)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (875)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)
% 0.20/0.54  % (874)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (874)Instruction limit reached!
% 0.20/0.55  % (874)------------------------------
% 0.20/0.55  % (874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (874)Termination reason: Unknown
% 0.20/0.55  % (874)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (874)Memory used [KB]: 6524
% 0.20/0.55  % (874)Time elapsed: 0.005 s
% 0.20/0.55  % (874)Instructions burned: 7 (million)
% 0.20/0.55  % (874)------------------------------
% 0.20/0.55  % (874)------------------------------
% 0.20/0.55  % (885)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)
% 1.42/0.55  % (890)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)
% 1.42/0.55  % (894)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)
% 1.42/0.55  % (892)Instruction limit reached!
% 1.42/0.55  % (892)------------------------------
% 1.42/0.55  % (892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (892)Termination reason: Unknown
% 1.42/0.55  % (892)Termination phase: Saturation
% 1.42/0.55  
% 1.42/0.55  % (892)Memory used [KB]: 7036
% 1.42/0.55  % (892)Time elapsed: 0.132 s
% 1.42/0.55  % (892)Instructions burned: 25 (million)
% 1.42/0.55  % (892)------------------------------
% 1.42/0.55  % (892)------------------------------
% 1.42/0.55  % (871)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)
% 1.42/0.55  % (878)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)
% 1.42/0.55  % (863)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)
% 1.42/0.55  % (881)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)
% 1.42/0.55  % (881)Instruction limit reached!
% 1.42/0.55  % (881)------------------------------
% 1.42/0.55  % (881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (881)Termination reason: Unknown
% 1.42/0.55  % (881)Termination phase: SInE selection
% 1.42/0.55  
% 1.42/0.55  % (881)Memory used [KB]: 1535
% 1.42/0.55  % (881)Time elapsed: 0.002 s
% 1.42/0.55  % (881)Instructions burned: 2 (million)
% 1.42/0.55  % (881)------------------------------
% 1.42/0.55  % (881)------------------------------
% 1.42/0.56  % (865)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)
% 1.42/0.56  % (863)Instruction limit reached!
% 1.42/0.56  % (863)------------------------------
% 1.42/0.56  % (863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (877)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)
% 1.42/0.56  % (886)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)
% 1.42/0.56  % (861)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.42/0.56  % (877)Instruction limit reached!
% 1.42/0.56  % (877)------------------------------
% 1.42/0.56  % (877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (884)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)
% 1.42/0.56  % (864)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)
% 1.42/0.56  % (868)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)
% 1.42/0.56  % (862)Instruction limit reached!
% 1.42/0.56  % (862)------------------------------
% 1.42/0.56  % (862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (877)Termination reason: Unknown
% 1.42/0.56  % (877)Termination phase: Preprocessing 2
% 1.42/0.56  
% 1.42/0.56  % (877)Memory used [KB]: 1791
% 1.42/0.56  % (877)Time elapsed: 0.003 s
% 1.42/0.56  % (877)Instructions burned: 3 (million)
% 1.42/0.56  % (877)------------------------------
% 1.42/0.56  % (877)------------------------------
% 1.42/0.56  % (880)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.56  % (863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (863)Termination reason: Unknown
% 1.42/0.56  % (863)Termination phase: Preprocessing 3
% 1.42/0.56  
% 1.42/0.56  % (863)Memory used [KB]: 1918
% 1.42/0.56  % (863)Time elapsed: 0.003 s
% 1.42/0.56  % (863)Instructions burned: 4 (million)
% 1.42/0.56  % (863)------------------------------
% 1.42/0.56  % (863)------------------------------
% 1.42/0.56  % (873)Instruction limit reached!
% 1.42/0.56  % (873)------------------------------
% 1.42/0.56  % (873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (880)Instruction limit reached!
% 1.42/0.56  % (880)------------------------------
% 1.42/0.56  % (880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (873)Termination reason: Unknown
% 1.42/0.56  % (873)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (873)Memory used [KB]: 6908
% 1.42/0.56  % (873)Time elapsed: 0.149 s
% 1.42/0.56  % (873)Instructions burned: 13 (million)
% 1.42/0.56  % (873)------------------------------
% 1.42/0.56  % (873)------------------------------
% 1.42/0.56  % (880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (880)Termination reason: Unknown
% 1.42/0.56  % (880)Termination phase: Naming
% 1.42/0.56  
% 1.42/0.56  % (880)Memory used [KB]: 1791
% 1.42/0.56  % (888)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)
% 1.42/0.56  % (880)Time elapsed: 0.004 s
% 1.42/0.56  % (880)Instructions burned: 4 (million)
% 1.42/0.56  % (880)------------------------------
% 1.42/0.56  % (880)------------------------------
% 1.42/0.56  % (878)Instruction limit reached!
% 1.42/0.56  % (878)------------------------------
% 1.42/0.56  % (878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (878)Termination reason: Unknown
% 1.42/0.56  % (878)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (878)Memory used [KB]: 6524
% 1.42/0.56  % (878)Time elapsed: 0.005 s
% 1.42/0.56  % (878)Instructions burned: 7 (million)
% 1.42/0.56  % (878)------------------------------
% 1.42/0.56  % (878)------------------------------
% 1.42/0.56  % (875)Instruction limit reached!
% 1.42/0.56  % (875)------------------------------
% 1.42/0.56  % (875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (875)Termination reason: Unknown
% 1.42/0.56  % (875)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (875)Memory used [KB]: 2046
% 1.42/0.56  % (875)Time elapsed: 0.150 s
% 1.42/0.56  % (875)Instructions burned: 16 (million)
% 1.42/0.56  % (875)------------------------------
% 1.42/0.56  % (875)------------------------------
% 1.42/0.57  % (891)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)
% 1.70/0.57  % (879)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)
% 1.70/0.57  % (882)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)
% 1.70/0.57  % (862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57  % (862)Termination reason: Unknown
% 1.70/0.57  % (862)Termination phase: Saturation
% 1.70/0.57  
% 1.70/0.57  % (862)Memory used [KB]: 7036
% 1.70/0.57  % (862)Time elapsed: 0.008 s
% 1.70/0.57  % (862)Instructions burned: 14 (million)
% 1.70/0.57  % (862)------------------------------
% 1.70/0.57  % (862)------------------------------
% 1.70/0.58  % (882)Instruction limit reached!
% 1.70/0.58  % (882)------------------------------
% 1.70/0.58  % (882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58  % (882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58  % (882)Termination reason: Unknown
% 1.70/0.58  % (882)Termination phase: Saturation
% 1.70/0.58  
% 1.70/0.58  % (882)Memory used [KB]: 6780
% 1.70/0.58  % (882)Time elapsed: 0.007 s
% 1.70/0.58  % (882)Instructions burned: 11 (million)
% 1.70/0.58  % (882)------------------------------
% 1.70/0.58  % (882)------------------------------
% 1.70/0.58  % (865)Instruction limit reached!
% 1.70/0.58  % (865)------------------------------
% 1.70/0.58  % (865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58  % (865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58  % (865)Termination reason: Unknown
% 1.70/0.58  % (865)Termination phase: Saturation
% 1.70/0.58  
% 1.70/0.58  % (865)Memory used [KB]: 6908
% 1.70/0.58  % (865)Time elapsed: 0.143 s
% 1.70/0.58  % (865)Instructions burned: 14 (million)
% 1.70/0.58  % (865)------------------------------
% 1.70/0.58  % (865)------------------------------
% 1.70/0.58  % (872)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)
% 1.70/0.58  % (893)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.70/0.59  % (893)Instruction limit reached!
% 1.70/0.59  % (893)------------------------------
% 1.70/0.59  % (893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (867)Instruction limit reached!
% 1.70/0.59  % (867)------------------------------
% 1.70/0.59  % (867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (867)Termination reason: Unknown
% 1.70/0.59  % (867)Termination phase: Saturation
% 1.70/0.59  
% 1.70/0.59  % (867)Memory used [KB]: 7291
% 1.70/0.59  % (867)Time elapsed: 0.175 s
% 1.70/0.59  % (867)Instructions burned: 40 (million)
% 1.70/0.59  % (867)------------------------------
% 1.70/0.59  % (867)------------------------------
% 1.70/0.60  % (883)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)
% 1.70/0.60  % (876)Instruction limit reached!
% 1.70/0.60  % (876)------------------------------
% 1.70/0.60  % (876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60  % (876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60  % (876)Termination reason: Unknown
% 1.70/0.60  % (876)Termination phase: Saturation
% 1.70/0.60  
% 1.70/0.60  % (876)Memory used [KB]: 7803
% 1.70/0.60  % (876)Time elapsed: 0.169 s
% 1.70/0.60  % (876)Instructions burned: 51 (million)
% 1.70/0.60  % (876)------------------------------
% 1.70/0.60  % (876)------------------------------
% 1.70/0.60  % (893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60  % (893)Termination reason: Unknown
% 1.70/0.60  % (893)Termination phase: Saturation
% 1.70/0.60  
% 1.70/0.60  % (893)Memory used [KB]: 6524
% 1.70/0.60  % (893)Time elapsed: 0.007 s
% 1.70/0.60  % (893)Instructions burned: 8 (million)
% 1.70/0.60  % (893)------------------------------
% 1.70/0.60  % (893)------------------------------
% 1.70/0.60  % (885)First to succeed.
% 1.70/0.61  % (894)Instruction limit reached!
% 1.70/0.61  % (894)------------------------------
% 1.70/0.61  % (894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61  % (894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.61  % (894)Termination reason: Unknown
% 1.70/0.61  % (894)Termination phase: Saturation
% 1.70/0.61  
% 1.70/0.61  % (894)Memory used [KB]: 6908
% 1.70/0.61  % (894)Time elapsed: 0.180 s
% 1.70/0.61  % (894)Instructions burned: 25 (million)
% 1.70/0.61  % (894)------------------------------
% 1.70/0.61  % (894)------------------------------
% 1.70/0.62  % (868)Instruction limit reached!
% 1.70/0.62  % (868)------------------------------
% 1.70/0.62  % (868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (868)Termination reason: Unknown
% 1.70/0.62  % (868)Termination phase: Saturation
% 1.70/0.62  
% 1.70/0.62  % (868)Memory used [KB]: 7547
% 1.70/0.62  % (868)Time elapsed: 0.155 s
% 1.70/0.62  % (868)Instructions burned: 39 (million)
% 1.70/0.62  % (868)------------------------------
% 1.70/0.62  % (868)------------------------------
% 1.70/0.62  % (886)Instruction limit reached!
% 1.70/0.62  % (886)------------------------------
% 1.70/0.62  % (886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (886)Termination reason: Unknown
% 1.70/0.62  % (886)Termination phase: Saturation
% 1.70/0.62  
% 1.70/0.62  % (886)Memory used [KB]: 2174
% 1.70/0.62  % (886)Time elapsed: 0.156 s
% 1.70/0.62  % (886)Instructions burned: 45 (million)
% 1.70/0.62  % (886)------------------------------
% 1.70/0.62  % (886)------------------------------
% 2.02/0.64  % (883)Instruction limit reached!
% 2.02/0.64  % (883)------------------------------
% 2.02/0.64  % (883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64  % (883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64  % (883)Termination reason: Unknown
% 2.02/0.64  % (883)Termination phase: Saturation
% 2.02/0.64  
% 2.02/0.64  % (883)Memory used [KB]: 7164
% 2.02/0.64  % (883)Time elapsed: 0.196 s
% 2.02/0.64  % (883)Instructions burned: 30 (million)
% 2.02/0.64  % (883)------------------------------
% 2.02/0.64  % (883)------------------------------
% 2.02/0.64  % (872)Instruction limit reached!
% 2.02/0.64  % (872)------------------------------
% 2.02/0.64  % (872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64  % (872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64  % (872)Termination reason: Unknown
% 2.02/0.64  % (872)Termination phase: Saturation
% 2.02/0.64  
% 2.02/0.64  % (872)Memory used [KB]: 7291
% 2.02/0.64  % (872)Time elapsed: 0.204 s
% 2.02/0.64  % (872)Instructions burned: 33 (million)
% 2.02/0.64  % (872)------------------------------
% 2.02/0.64  % (872)------------------------------
% 2.02/0.64  % (864)Instruction limit reached!
% 2.02/0.64  % (864)------------------------------
% 2.02/0.64  % (864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64  % (864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64  % (864)Termination reason: Unknown
% 2.02/0.64  % (864)Termination phase: Saturation
% 2.02/0.64  
% 2.02/0.64  % (864)Memory used [KB]: 7803
% 2.02/0.64  % (864)Time elapsed: 0.224 s
% 2.02/0.64  % (864)Instructions burned: 51 (million)
% 2.02/0.64  % (864)------------------------------
% 2.02/0.64  % (864)------------------------------
% 2.02/0.65  % (897)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.02/0.65  % (879)Instruction limit reached!
% 2.02/0.65  % (879)------------------------------
% 2.02/0.65  % (879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65  % (879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65  % (879)Termination reason: Unknown
% 2.02/0.65  % (879)Termination phase: Saturation
% 2.02/0.65  
% 2.02/0.65  % (879)Memory used [KB]: 7547
% 2.02/0.65  % (879)Time elapsed: 0.231 s
% 2.02/0.65  % (879)Instructions burned: 50 (million)
% 2.02/0.65  % (879)------------------------------
% 2.02/0.65  % (879)------------------------------
% 2.02/0.66  % (888)Instruction limit reached!
% 2.02/0.66  % (888)------------------------------
% 2.02/0.66  % (888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.66  % (888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.66  % (888)Termination reason: Unknown
% 2.02/0.66  % (888)Termination phase: Saturation
% 2.02/0.66  
% 2.02/0.66  % (888)Memory used [KB]: 7419
% 2.02/0.66  % (888)Time elapsed: 0.224 s
% 2.02/0.66  % (888)Instructions burned: 50 (million)
% 2.02/0.66  % (888)------------------------------
% 2.02/0.66  % (888)------------------------------
% 2.02/0.66  % (871)Instruction limit reached!
% 2.02/0.66  % (871)------------------------------
% 2.02/0.66  % (871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.66  % (871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.66  % (871)Termination reason: Unknown
% 2.02/0.66  % (871)Termination phase: Saturation
% 2.02/0.66  
% 2.02/0.66  % (871)Memory used [KB]: 7675
% 2.02/0.66  % (871)Time elapsed: 0.231 s
% 2.02/0.66  % (871)Instructions burned: 49 (million)
% 2.02/0.66  % (871)------------------------------
% 2.02/0.66  % (871)------------------------------
% 2.02/0.66  % (885)Refutation found. Thanks to Tanya!
% 2.02/0.66  % SZS status Theorem for theBenchmark
% 2.02/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.66  % (885)------------------------------
% 2.12/0.66  % (885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66  % (885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66  % (885)Termination reason: Refutation
% 2.12/0.66  
% 2.12/0.66  % (885)Memory used [KB]: 8187
% 2.12/0.66  % (885)Time elapsed: 0.200 s
% 2.12/0.66  % (885)Instructions burned: 35 (million)
% 2.12/0.66  % (885)------------------------------
% 2.12/0.66  % (885)------------------------------
% 2.12/0.66  % (860)Success in time 0.288 s
%------------------------------------------------------------------------------