TSTP Solution File: SYN504+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN504+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:35 EDT 2022

% Result   : Theorem 1.81s 0.61s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  134
% Syntax   : Number of formulae    :  558 (   1 unt;   0 def)
%            Number of atoms       : 6361 (   0 equ)
%            Maximal formula atoms :  773 (  11 avg)
%            Number of connectives : 8484 (2681   ~;3924   |;1242   &)
%                                         ( 133 <=>; 504  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  121 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  171 ( 170 usr; 167 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  869 ( 869   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2261,plain,
    $false,
    inference(avatar_sat_refutation,[],[f229,f240,f269,f278,f283,f309,f318,f327,f336,f361,f366,f376,f395,f403,f408,f417,f422,f427,f436,f449,f474,f479,f486,f491,f496,f504,f513,f518,f519,f524,f530,f540,f545,f550,f551,f555,f560,f567,f576,f598,f613,f623,f628,f633,f635,f653,f662,f663,f668,f673,f678,f684,f685,f690,f711,f720,f727,f732,f737,f751,f773,f779,f790,f792,f797,f802,f809,f810,f815,f821,f824,f835,f841,f848,f853,f860,f862,f867,f874,f880,f902,f903,f914,f919,f924,f936,f941,f946,f948,f949,f955,f966,f977,f983,f988,f989,f990,f995,f996,f997,f1002,f1003,f1004,f1006,f1011,f1016,f1018,f1023,f1034,f1041,f1051,f1074,f1075,f1088,f1089,f1091,f1112,f1119,f1138,f1143,f1150,f1154,f1158,f1164,f1183,f1197,f1227,f1231,f1236,f1247,f1259,f1267,f1304,f1324,f1341,f1344,f1355,f1369,f1402,f1420,f1433,f1435,f1436,f1437,f1459,f1524,f1546,f1553,f1559,f1579,f1581,f1604,f1618,f1641,f1657,f1659,f1660,f1668,f1671,f1692,f1698,f1704,f1768,f1785,f1828,f1844,f1880,f1901,f2017,f2051,f2091,f2214,f2216,f2259]) ).

fof(f2259,plain,
    ( spl0_113
    | spl0_189
    | ~ spl0_7
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2246,f717,f238,f1804,f734]) ).

fof(f734,plain,
    ( spl0_113
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1804,plain,
    ( spl0_189
  <=> c2_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f238,plain,
    ( spl0_7
  <=> ! [X95] :
        ( c2_1(X95)
        | c0_1(X95)
        | c3_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f717,plain,
    ( spl0_110
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2246,plain,
    ( c2_1(a359)
    | c0_1(a359)
    | ~ spl0_7
    | spl0_110 ),
    inference(resolution,[],[f239,f719]) ).

fof(f719,plain,
    ( ~ c3_1(a359)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f239,plain,
    ( ! [X95] :
        ( c3_1(X95)
        | c2_1(X95)
        | c0_1(X95) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f2216,plain,
    ( spl0_49
    | ~ spl0_145
    | ~ spl0_84
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2206,f1521,f588,f933,f419]) ).

fof(f419,plain,
    ( spl0_49
  <=> c0_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f933,plain,
    ( spl0_145
  <=> c1_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f588,plain,
    ( spl0_84
  <=> ! [X100] :
        ( ~ c1_1(X100)
        | ~ c2_1(X100)
        | c0_1(X100) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1521,plain,
    ( spl0_181
  <=> c2_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f2206,plain,
    ( ~ c1_1(a399)
    | c0_1(a399)
    | ~ spl0_84
    | ~ spl0_181 ),
    inference(resolution,[],[f589,f1523]) ).

fof(f1523,plain,
    ( c2_1(a399)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1521]) ).

fof(f589,plain,
    ( ! [X100] :
        ( ~ c2_1(X100)
        | ~ c1_1(X100)
        | c0_1(X100) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f2214,plain,
    ( spl0_76
    | ~ spl0_170
    | ~ spl0_75
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2195,f588,f542,f1140,f547]) ).

fof(f547,plain,
    ( spl0_76
  <=> c0_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1140,plain,
    ( spl0_170
  <=> c1_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f542,plain,
    ( spl0_75
  <=> c2_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2195,plain,
    ( ~ c1_1(a358)
    | c0_1(a358)
    | ~ spl0_75
    | ~ spl0_84 ),
    inference(resolution,[],[f589,f544]) ).

fof(f544,plain,
    ( c2_1(a358)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f2091,plain,
    ( spl0_113
    | spl0_150
    | ~ spl0_39
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2072,f1804,f374,f963,f734]) ).

fof(f963,plain,
    ( spl0_150
  <=> c1_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f374,plain,
    ( spl0_39
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c2_1(X70)
        | c0_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2072,plain,
    ( c1_1(a359)
    | c0_1(a359)
    | ~ spl0_39
    | ~ spl0_189 ),
    inference(resolution,[],[f375,f1806]) ).

fof(f1806,plain,
    ( c2_1(a359)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1804]) ).

fof(f375,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | c1_1(X70)
        | c0_1(X70) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f2051,plain,
    ( spl0_49
    | spl0_15
    | ~ spl0_4
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2038,f933,f227,f271,f419]) ).

fof(f271,plain,
    ( spl0_15
  <=> c3_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f227,plain,
    ( spl0_4
  <=> ! [X24] :
        ( c3_1(X24)
        | ~ c1_1(X24)
        | c0_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2038,plain,
    ( c3_1(a399)
    | c0_1(a399)
    | ~ spl0_4
    | ~ spl0_145 ),
    inference(resolution,[],[f228,f935]) ).

fof(f935,plain,
    ( c1_1(a399)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f228,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | c3_1(X24)
        | c0_1(X24) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f2017,plain,
    ( spl0_30
    | ~ spl0_7
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2012,f455,f238,f338]) ).

fof(f338,plain,
    ( spl0_30
  <=> ! [X119] :
        ( ~ c1_1(X119)
        | c0_1(X119)
        | c2_1(X119) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f455,plain,
    ( spl0_57
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c1_1(X60)
        | ~ c3_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2012,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1992]) ).

fof(f1992,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_57 ),
    inference(resolution,[],[f456,f239]) ).

fof(f456,plain,
    ( ! [X60] :
        ( ~ c3_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f1901,plain,
    ( ~ spl0_141
    | spl0_179
    | ~ spl0_64
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1868,f799,f484,f1399,f911]) ).

fof(f911,plain,
    ( spl0_141
  <=> c0_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1399,plain,
    ( spl0_179
  <=> c2_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f484,plain,
    ( spl0_64
  <=> ! [X50] :
        ( ~ c0_1(X50)
        | ~ c1_1(X50)
        | c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f799,plain,
    ( spl0_124
  <=> c1_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1868,plain,
    ( c2_1(a380)
    | ~ c0_1(a380)
    | ~ spl0_64
    | ~ spl0_124 ),
    inference(resolution,[],[f485,f801]) ).

fof(f801,plain,
    ( c1_1(a380)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f485,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | ~ c0_1(X50)
        | c2_1(X50) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1880,plain,
    ( spl0_135
    | ~ spl0_99
    | ~ spl0_64
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1861,f877,f484,f659,f871]) ).

fof(f871,plain,
    ( spl0_135
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f659,plain,
    ( spl0_99
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f877,plain,
    ( spl0_136
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1861,plain,
    ( ~ c0_1(a353)
    | c2_1(a353)
    | ~ spl0_64
    | ~ spl0_136 ),
    inference(resolution,[],[f485,f879]) ).

fof(f879,plain,
    ( c1_1(a353)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f1844,plain,
    ( spl0_89
    | spl0_152
    | ~ spl0_77
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1832,f630,f553,f974,f610]) ).

fof(f610,plain,
    ( spl0_89
  <=> c2_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f974,plain,
    ( spl0_152
  <=> c1_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f553,plain,
    ( spl0_77
  <=> ! [X61] :
        ( c2_1(X61)
        | c3_1(X61)
        | c1_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f630,plain,
    ( spl0_93
  <=> c3_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1832,plain,
    ( c1_1(a360)
    | c2_1(a360)
    | ~ spl0_77
    | spl0_93 ),
    inference(resolution,[],[f554,f632]) ).

fof(f632,plain,
    ( ~ c3_1(a360)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f554,plain,
    ( ! [X61] :
        ( c3_1(X61)
        | c1_1(X61)
        | c2_1(X61) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f1828,plain,
    ( spl0_155
    | spl0_48
    | ~ spl0_61
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1822,f1695,f472,f414,f992]) ).

fof(f992,plain,
    ( spl0_155
  <=> c3_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f414,plain,
    ( spl0_48
  <=> c2_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f472,plain,
    ( spl0_61
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1695,plain,
    ( spl0_187
  <=> c1_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f1822,plain,
    ( c2_1(a418)
    | c3_1(a418)
    | ~ spl0_61
    | ~ spl0_187 ),
    inference(resolution,[],[f473,f1697]) ).

fof(f1697,plain,
    ( c1_1(a418)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1695]) ).

fof(f473,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1785,plain,
    ( spl0_30
    | ~ spl0_7
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1784,f481,f238,f338]) ).

fof(f481,plain,
    ( spl0_63
  <=> ! [X49] :
        ( ~ c1_1(X49)
        | ~ c3_1(X49)
        | c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1784,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_63 ),
    inference(duplicate_literal_removal,[],[f1772]) ).

fof(f1772,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_7
    | ~ spl0_63 ),
    inference(resolution,[],[f239,f482]) ).

fof(f482,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c2_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1768,plain,
    ( ~ spl0_36
    | spl0_147
    | ~ spl0_55
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1755,f999,f446,f943,f363]) ).

fof(f363,plain,
    ( spl0_36
  <=> c0_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f943,plain,
    ( spl0_147
  <=> c3_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f446,plain,
    ( spl0_55
  <=> ! [X31] :
        ( ~ c2_1(X31)
        | ~ c0_1(X31)
        | c3_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f999,plain,
    ( spl0_156
  <=> c2_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1755,plain,
    ( c3_1(a370)
    | ~ c0_1(a370)
    | ~ spl0_55
    | ~ spl0_156 ),
    inference(resolution,[],[f447,f1001]) ).

fof(f1001,plain,
    ( c2_1(a370)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f447,plain,
    ( ! [X31] :
        ( ~ c2_1(X31)
        | c3_1(X31)
        | ~ c0_1(X31) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1704,plain,
    ( spl0_89
    | spl0_152
    | ~ spl0_3
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1679,f1071,f224,f974,f610]) ).

fof(f224,plain,
    ( spl0_3
  <=> ! [X23] :
        ( ~ c0_1(X23)
        | c2_1(X23)
        | c1_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1071,plain,
    ( spl0_165
  <=> c0_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1679,plain,
    ( c1_1(a360)
    | c2_1(a360)
    | ~ spl0_3
    | ~ spl0_165 ),
    inference(resolution,[],[f225,f1073]) ).

fof(f1073,plain,
    ( c0_1(a360)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f225,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | c1_1(X23)
        | c2_1(X23) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f1698,plain,
    ( spl0_187
    | spl0_48
    | ~ spl0_3
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1688,f488,f224,f414,f1695]) ).

fof(f488,plain,
    ( spl0_65
  <=> c0_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1688,plain,
    ( c2_1(a418)
    | c1_1(a418)
    | ~ spl0_3
    | ~ spl0_65 ),
    inference(resolution,[],[f225,f490]) ).

fof(f490,plain,
    ( c0_1(a418)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1692,plain,
    ( spl0_86
    | spl0_182
    | ~ spl0_3
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1680,f521,f224,f1550,f595]) ).

fof(f595,plain,
    ( spl0_86
  <=> c2_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1550,plain,
    ( spl0_182
  <=> c1_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f521,plain,
    ( spl0_71
  <=> c0_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1680,plain,
    ( c1_1(a369)
    | c2_1(a369)
    | ~ spl0_3
    | ~ spl0_71 ),
    inference(resolution,[],[f225,f523]) ).

fof(f523,plain,
    ( c0_1(a369)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f1671,plain,
    ( spl0_135
    | ~ spl0_136
    | ~ spl0_63
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1670,f1665,f481,f877,f871]) ).

fof(f1665,plain,
    ( spl0_186
  <=> c3_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f1670,plain,
    ( ~ c1_1(a353)
    | c2_1(a353)
    | ~ spl0_63
    | ~ spl0_186 ),
    inference(resolution,[],[f1667,f482]) ).

fof(f1667,plain,
    ( c3_1(a353)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1665]) ).

fof(f1668,plain,
    ( spl0_135
    | spl0_186
    | ~ spl0_61
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1663,f877,f472,f1665,f871]) ).

fof(f1663,plain,
    ( c3_1(a353)
    | c2_1(a353)
    | ~ spl0_61
    | ~ spl0_136 ),
    inference(resolution,[],[f879,f473]) ).

fof(f1660,plain,
    ( spl0_171
    | ~ spl0_92
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1650,f506,f280,f625,f1161]) ).

fof(f1161,plain,
    ( spl0_171
  <=> c0_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f625,plain,
    ( spl0_92
  <=> c2_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f280,plain,
    ( spl0_17
  <=> c3_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f506,plain,
    ( spl0_68
  <=> ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | ~ c3_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1650,plain,
    ( ~ c2_1(a368)
    | c0_1(a368)
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(resolution,[],[f507,f282]) ).

fof(f282,plain,
    ( c3_1(a368)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f507,plain,
    ( ! [X88] :
        ( ~ c3_1(X88)
        | ~ c2_1(X88)
        | c0_1(X88) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1659,plain,
    ( spl0_70
    | ~ spl0_172
    | ~ spl0_68
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1652,f921,f506,f1170,f515]) ).

fof(f515,plain,
    ( spl0_70
  <=> c0_1(a375) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1170,plain,
    ( spl0_172
  <=> c2_1(a375) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f921,plain,
    ( spl0_143
  <=> c3_1(a375) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1652,plain,
    ( ~ c2_1(a375)
    | c0_1(a375)
    | ~ spl0_68
    | ~ spl0_143 ),
    inference(resolution,[],[f507,f923]) ).

fof(f923,plain,
    ( c3_1(a375)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f1657,plain,
    ( ~ spl0_169
    | spl0_142
    | ~ spl0_28
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1649,f506,f329,f916,f1116]) ).

fof(f1116,plain,
    ( spl0_169
  <=> c2_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f916,plain,
    ( spl0_142
  <=> c0_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f329,plain,
    ( spl0_28
  <=> c3_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1649,plain,
    ( c0_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_28
    | ~ spl0_68 ),
    inference(resolution,[],[f507,f331]) ).

fof(f331,plain,
    ( c3_1(a357)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f1641,plain,
    ( spl0_46
    | spl0_42
    | ~ spl0_61
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1631,f729,f472,f388,f405]) ).

fof(f405,plain,
    ( spl0_46
  <=> c3_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f388,plain,
    ( spl0_42
  <=> c2_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f729,plain,
    ( spl0_112
  <=> c1_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1631,plain,
    ( c2_1(a388)
    | c3_1(a388)
    | ~ spl0_61
    | ~ spl0_112 ),
    inference(resolution,[],[f473,f731]) ).

fof(f731,plain,
    ( c1_1(a388)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f1618,plain,
    ( spl0_86
    | spl0_182
    | ~ spl0_45
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1610,f650,f401,f1550,f595]) ).

fof(f401,plain,
    ( spl0_45
  <=> ! [X45] :
        ( ~ c3_1(X45)
        | c2_1(X45)
        | c1_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f650,plain,
    ( spl0_97
  <=> c3_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1610,plain,
    ( c1_1(a369)
    | c2_1(a369)
    | ~ spl0_45
    | ~ spl0_97 ),
    inference(resolution,[],[f402,f652]) ).

fof(f652,plain,
    ( c3_1(a369)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f402,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | c2_1(X45)
        | c1_1(X45) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f1604,plain,
    ( spl0_25
    | ~ spl0_126
    | ~ spl0_63
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1603,f1233,f481,f812,f315]) ).

fof(f315,plain,
    ( spl0_25
  <=> c2_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f812,plain,
    ( spl0_126
  <=> c1_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1233,plain,
    ( spl0_174
  <=> c3_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1603,plain,
    ( ~ c1_1(a395)
    | c2_1(a395)
    | ~ spl0_63
    | ~ spl0_174 ),
    inference(resolution,[],[f1235,f482]) ).

fof(f1235,plain,
    ( c3_1(a395)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f1581,plain,
    ( spl0_93
    | spl0_89
    | ~ spl0_54
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1576,f1071,f443,f610,f630]) ).

fof(f443,plain,
    ( spl0_54
  <=> ! [X30] :
        ( c2_1(X30)
        | c3_1(X30)
        | ~ c0_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1576,plain,
    ( c2_1(a360)
    | c3_1(a360)
    | ~ spl0_54
    | ~ spl0_165 ),
    inference(resolution,[],[f1073,f444]) ).

fof(f444,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c2_1(X30)
        | c3_1(X30) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f1579,plain,
    ( spl0_23
    | spl0_70
    | ~ spl0_37
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1578,f1170,f368,f515,f306]) ).

fof(f306,plain,
    ( spl0_23
  <=> c1_1(a375) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f368,plain,
    ( spl0_37
  <=> ! [X71] :
        ( c2_1(X71)
        | c1_1(X71)
        | c0_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1578,plain,
    ( c0_1(a375)
    | c1_1(a375)
    | ~ spl0_37
    | spl0_172 ),
    inference(resolution,[],[f1172,f369]) ).

fof(f369,plain,
    ( ! [X71] :
        ( c2_1(X71)
        | c0_1(X71)
        | c1_1(X71) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1172,plain,
    ( ~ c2_1(a375)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f1559,plain,
    ( ~ spl0_141
    | ~ spl0_124
    | ~ spl0_59
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1479,f1399,f464,f799,f911]) ).

fof(f464,plain,
    ( spl0_59
  <=> ! [X35] :
        ( ~ c2_1(X35)
        | ~ c0_1(X35)
        | ~ c1_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1479,plain,
    ( ~ c1_1(a380)
    | ~ c0_1(a380)
    | ~ spl0_59
    | ~ spl0_179 ),
    inference(resolution,[],[f465,f1401]) ).

fof(f1401,plain,
    ( c2_1(a380)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1399]) ).

fof(f465,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | ~ c1_1(X35)
        | ~ c0_1(X35) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f1553,plain,
    ( ~ spl0_182
    | spl0_86
    | ~ spl0_63
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1536,f650,f481,f595,f1550]) ).

fof(f1536,plain,
    ( c2_1(a369)
    | ~ c1_1(a369)
    | ~ spl0_63
    | ~ spl0_97 ),
    inference(resolution,[],[f482,f652]) ).

fof(f1546,plain,
    ( ~ spl0_127
    | spl0_169
    | ~ spl0_28
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1532,f481,f329,f1116,f818]) ).

fof(f818,plain,
    ( spl0_127
  <=> c1_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1532,plain,
    ( c2_1(a357)
    | ~ c1_1(a357)
    | ~ spl0_28
    | ~ spl0_63 ),
    inference(resolution,[],[f482,f331]) ).

fof(f1524,plain,
    ( spl0_15
    | spl0_181
    | ~ spl0_61
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1514,f933,f472,f1521,f271]) ).

fof(f1514,plain,
    ( c2_1(a399)
    | c3_1(a399)
    | ~ spl0_61
    | ~ spl0_145 ),
    inference(resolution,[],[f473,f935]) ).

fof(f1459,plain,
    ( ~ spl0_139
    | ~ spl0_115
    | ~ spl0_6
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1458,f1306,f235,f748,f899]) ).

fof(f899,plain,
    ( spl0_139
  <=> c2_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f748,plain,
    ( spl0_115
  <=> c1_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f235,plain,
    ( spl0_6
  <=> ! [X94] :
        ( ~ c3_1(X94)
        | ~ c1_1(X94)
        | ~ c2_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1306,plain,
    ( spl0_177
  <=> c3_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1458,plain,
    ( ~ c1_1(a372)
    | ~ c2_1(a372)
    | ~ spl0_6
    | ~ spl0_177 ),
    inference(resolution,[],[f1308,f236]) ).

fof(f236,plain,
    ( ! [X94] :
        ( ~ c3_1(X94)
        | ~ c2_1(X94)
        | ~ c1_1(X94) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f1308,plain,
    ( c3_1(a372)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1306]) ).

fof(f1437,plain,
    ( spl0_157
    | ~ spl0_141
    | ~ spl0_55
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1430,f1399,f446,f911,f1008]) ).

fof(f1008,plain,
    ( spl0_157
  <=> c3_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1430,plain,
    ( ~ c0_1(a380)
    | c3_1(a380)
    | ~ spl0_55
    | ~ spl0_179 ),
    inference(resolution,[],[f447,f1401]) ).

fof(f1436,plain,
    ( ~ spl0_162
    | spl0_104
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1425,f980,f446,f687,f1038]) ).

fof(f1038,plain,
    ( spl0_162
  <=> c0_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f687,plain,
    ( spl0_104
  <=> c3_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f980,plain,
    ( spl0_153
  <=> c2_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1425,plain,
    ( c3_1(a363)
    | ~ c0_1(a363)
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(resolution,[],[f447,f982]) ).

fof(f982,plain,
    ( c2_1(a363)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f1435,plain,
    ( ~ spl0_164
    | spl0_132
    | ~ spl0_55
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1429,f681,f446,f850,f1059]) ).

fof(f1059,plain,
    ( spl0_164
  <=> c0_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f850,plain,
    ( spl0_132
  <=> c3_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f681,plain,
    ( spl0_103
  <=> c2_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1429,plain,
    ( c3_1(a379)
    | ~ c0_1(a379)
    | ~ spl0_55
    | ~ spl0_103 ),
    inference(resolution,[],[f447,f683]) ).

fof(f683,plain,
    ( c2_1(a379)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f1433,plain,
    ( spl0_177
    | ~ spl0_50
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1432,f899,f446,f424,f1306]) ).

fof(f424,plain,
    ( spl0_50
  <=> c0_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1432,plain,
    ( ~ c0_1(a372)
    | c3_1(a372)
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(resolution,[],[f447,f901]) ).

fof(f901,plain,
    ( c2_1(a372)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f1420,plain,
    ( ~ spl0_127
    | spl0_142
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1408,f455,f329,f916,f818]) ).

fof(f1408,plain,
    ( c0_1(a357)
    | ~ c1_1(a357)
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(resolution,[],[f456,f331]) ).

fof(f1402,plain,
    ( spl0_179
    | spl0_157
    | ~ spl0_54
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1389,f911,f443,f1008,f1399]) ).

fof(f1389,plain,
    ( c3_1(a380)
    | c2_1(a380)
    | ~ spl0_54
    | ~ spl0_141 ),
    inference(resolution,[],[f444,f913]) ).

fof(f913,plain,
    ( c0_1(a380)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1369,plain,
    ( spl0_108
    | ~ spl0_66
    | ~ spl0_33
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1368,f1048,f350,f493,f708]) ).

fof(f708,plain,
    ( spl0_108
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f493,plain,
    ( spl0_66
  <=> c0_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f350,plain,
    ( spl0_33
  <=> ! [X93] :
        ( ~ c2_1(X93)
        | c1_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1048,plain,
    ( spl0_163
  <=> c2_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1368,plain,
    ( ~ c0_1(a355)
    | c1_1(a355)
    | ~ spl0_33
    | ~ spl0_163 ),
    inference(resolution,[],[f1049,f351]) ).

fof(f351,plain,
    ( ! [X93] :
        ( ~ c2_1(X93)
        | c1_1(X93)
        | ~ c0_1(X93) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f1049,plain,
    ( c2_1(a355)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1355,plain,
    ( spl0_150
    | spl0_113
    | ~ spl0_38
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1354,f717,f371,f734,f963]) ).

fof(f371,plain,
    ( spl0_38
  <=> ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | c1_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1354,plain,
    ( c0_1(a359)
    | c1_1(a359)
    | ~ spl0_38
    | spl0_110 ),
    inference(resolution,[],[f719,f372]) ).

fof(f372,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | c1_1(X72) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1344,plain,
    ( spl0_37
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1338,f401,f371,f368]) ).

fof(f1338,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1325]) ).

fof(f1325,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(resolution,[],[f372,f402]) ).

fof(f1341,plain,
    ( spl0_152
    | spl0_165
    | ~ spl0_38
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1330,f630,f371,f1071,f974]) ).

fof(f1330,plain,
    ( c0_1(a360)
    | c1_1(a360)
    | ~ spl0_38
    | spl0_93 ),
    inference(resolution,[],[f372,f632]) ).

fof(f1324,plain,
    ( spl0_171
    | spl0_154
    | ~ spl0_39
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1321,f625,f374,f985,f1161]) ).

fof(f985,plain,
    ( spl0_154
  <=> c1_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1321,plain,
    ( c1_1(a368)
    | c0_1(a368)
    | ~ spl0_39
    | ~ spl0_92 ),
    inference(resolution,[],[f375,f627]) ).

fof(f627,plain,
    ( c2_1(a368)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f1304,plain,
    ( ~ spl0_170
    | spl0_62
    | ~ spl0_14
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1298,f542,f267,f476,f1140]) ).

fof(f476,plain,
    ( spl0_62
  <=> c3_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f267,plain,
    ( spl0_14
  <=> ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55)
        | c3_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1298,plain,
    ( c3_1(a358)
    | ~ c1_1(a358)
    | ~ spl0_14
    | ~ spl0_75 ),
    inference(resolution,[],[f268,f544]) ).

fof(f268,plain,
    ( ! [X55] :
        ( ~ c2_1(X55)
        | c3_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f1267,plain,
    ( ~ spl0_119
    | ~ spl0_111
    | ~ spl0_6
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1266,f952,f235,f724,f770]) ).

fof(f770,plain,
    ( spl0_119
  <=> c1_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f724,plain,
    ( spl0_111
  <=> c2_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f952,plain,
    ( spl0_148
  <=> c3_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1266,plain,
    ( ~ c2_1(a365)
    | ~ c1_1(a365)
    | ~ spl0_6
    | ~ spl0_148 ),
    inference(resolution,[],[f954,f236]) ).

fof(f954,plain,
    ( c3_1(a365)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f1259,plain,
    ( spl0_108
    | spl0_163
    | ~ spl0_3
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1248,f493,f224,f1048,f708]) ).

fof(f1248,plain,
    ( c2_1(a355)
    | c1_1(a355)
    | ~ spl0_3
    | ~ spl0_66 ),
    inference(resolution,[],[f225,f495]) ).

fof(f495,plain,
    ( c0_1(a355)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f1247,plain,
    ( spl0_76
    | spl0_62
    | ~ spl0_4
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1246,f1140,f227,f476,f547]) ).

fof(f1246,plain,
    ( c3_1(a358)
    | c0_1(a358)
    | ~ spl0_4
    | ~ spl0_170 ),
    inference(resolution,[],[f1142,f228]) ).

fof(f1142,plain,
    ( c1_1(a358)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1236,plain,
    ( spl0_174
    | spl0_101
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1230,f812,f227,f670,f1233]) ).

fof(f670,plain,
    ( spl0_101
  <=> c0_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1230,plain,
    ( c0_1(a395)
    | c3_1(a395)
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(resolution,[],[f814,f228]) ).

fof(f814,plain,
    ( c1_1(a395)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f1231,plain,
    ( spl0_25
    | spl0_101
    | ~ spl0_30
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1229,f812,f338,f670,f315]) ).

fof(f1229,plain,
    ( c0_1(a395)
    | c2_1(a395)
    | ~ spl0_30
    | ~ spl0_126 ),
    inference(resolution,[],[f814,f339]) ).

fof(f339,plain,
    ( ! [X119] :
        ( ~ c1_1(X119)
        | c0_1(X119)
        | c2_1(X119) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f1227,plain,
    ( spl0_122
    | spl0_78
    | ~ spl0_30
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1225,f1194,f338,f557,f787]) ).

fof(f787,plain,
    ( spl0_122
  <=> c2_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f557,plain,
    ( spl0_78
  <=> c0_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1194,plain,
    ( spl0_173
  <=> c1_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1225,plain,
    ( c0_1(a382)
    | c2_1(a382)
    | ~ spl0_30
    | ~ spl0_173 ),
    inference(resolution,[],[f1196,f339]) ).

fof(f1196,plain,
    ( c1_1(a382)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f1197,plain,
    ( spl0_173
    | spl0_78
    | ~ spl0_37
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1192,f787,f368,f557,f1194]) ).

fof(f1192,plain,
    ( c0_1(a382)
    | c1_1(a382)
    | ~ spl0_37
    | spl0_122 ),
    inference(resolution,[],[f789,f369]) ).

fof(f789,plain,
    ( ~ c2_1(a382)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f1183,plain,
    ( spl0_169
    | spl0_142
    | ~ spl0_30
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1178,f818,f338,f916,f1116]) ).

fof(f1178,plain,
    ( c0_1(a357)
    | c2_1(a357)
    | ~ spl0_30
    | ~ spl0_127 ),
    inference(resolution,[],[f339,f820]) ).

fof(f820,plain,
    ( c1_1(a357)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f1164,plain,
    ( spl0_154
    | ~ spl0_171
    | ~ spl0_33
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1159,f625,f350,f1161,f985]) ).

fof(f1159,plain,
    ( ~ c0_1(a368)
    | c1_1(a368)
    | ~ spl0_33
    | ~ spl0_92 ),
    inference(resolution,[],[f627,f351]) ).

fof(f1158,plain,
    ( spl0_154
    | ~ spl0_92
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1156,f285,f280,f625,f985]) ).

fof(f285,plain,
    ( spl0_18
  <=> ! [X39] :
        ( ~ c3_1(X39)
        | c1_1(X39)
        | ~ c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1156,plain,
    ( ~ c2_1(a368)
    | c1_1(a368)
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(resolution,[],[f282,f286]) ).

fof(f286,plain,
    ( ! [X39] :
        ( ~ c3_1(X39)
        | c1_1(X39)
        | ~ c2_1(X39) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f1154,plain,
    ( spl0_163
    | spl0_108
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1151,f665,f401,f708,f1048]) ).

fof(f665,plain,
    ( spl0_100
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1151,plain,
    ( c1_1(a355)
    | c2_1(a355)
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(resolution,[],[f402,f667]) ).

fof(f667,plain,
    ( c3_1(a355)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f1150,plain,
    ( spl0_76
    | spl0_170
    | ~ spl0_39
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1145,f542,f374,f1140,f547]) ).

fof(f1145,plain,
    ( c1_1(a358)
    | c0_1(a358)
    | ~ spl0_39
    | ~ spl0_75 ),
    inference(resolution,[],[f375,f544]) ).

fof(f1143,plain,
    ( spl0_170
    | spl0_76
    | ~ spl0_38
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1132,f476,f371,f547,f1140]) ).

fof(f1132,plain,
    ( c0_1(a358)
    | c1_1(a358)
    | ~ spl0_38
    | spl0_62 ),
    inference(resolution,[],[f372,f478]) ).

fof(f478,plain,
    ( ~ c3_1(a358)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f1138,plain,
    ( spl0_164
    | spl0_146
    | ~ spl0_38
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1135,f850,f371,f938,f1059]) ).

fof(f938,plain,
    ( spl0_146
  <=> c1_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1135,plain,
    ( c1_1(a379)
    | c0_1(a379)
    | ~ spl0_38
    | spl0_132 ),
    inference(resolution,[],[f372,f852]) ).

fof(f852,plain,
    ( ~ c3_1(a379)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1119,plain,
    ( ~ spl0_169
    | ~ spl0_127
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1114,f329,f235,f818,f1116]) ).

fof(f1114,plain,
    ( ~ c1_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(resolution,[],[f331,f236]) ).

fof(f1112,plain,
    ( spl0_152
    | spl0_93
    | ~ spl0_13
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1096,f1071,f264,f630,f974]) ).

fof(f264,plain,
    ( spl0_13
  <=> ! [X54] :
        ( ~ c0_1(X54)
        | c3_1(X54)
        | c1_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1096,plain,
    ( c3_1(a360)
    | c1_1(a360)
    | ~ spl0_13
    | ~ spl0_165 ),
    inference(resolution,[],[f265,f1073]) ).

fof(f265,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54)
        | c3_1(X54) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f1091,plain,
    ( ~ spl0_74
    | spl0_69
    | ~ spl0_33
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1090,f433,f350,f510,f537]) ).

fof(f537,plain,
    ( spl0_74
  <=> c0_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f510,plain,
    ( spl0_69
  <=> c1_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f433,plain,
    ( spl0_52
  <=> c2_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1090,plain,
    ( c1_1(a356)
    | ~ c0_1(a356)
    | ~ spl0_33
    | ~ spl0_52 ),
    inference(resolution,[],[f435,f351]) ).

fof(f435,plain,
    ( c2_1(a356)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1089,plain,
    ( spl0_165
    | spl0_89
    | ~ spl0_7
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1084,f630,f238,f610,f1071]) ).

fof(f1084,plain,
    ( c2_1(a360)
    | c0_1(a360)
    | ~ spl0_7
    | spl0_93 ),
    inference(resolution,[],[f239,f632]) ).

fof(f1088,plain,
    ( spl0_158
    | spl0_102
    | ~ spl0_7
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1085,f864,f238,f675,f1013]) ).

fof(f1013,plain,
    ( spl0_158
  <=> c2_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f675,plain,
    ( spl0_102
  <=> c0_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f864,plain,
    ( spl0_134
  <=> c3_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1085,plain,
    ( c0_1(a366)
    | c2_1(a366)
    | ~ spl0_7
    | spl0_134 ),
    inference(resolution,[],[f239,f866]) ).

fof(f866,plain,
    ( ~ c3_1(a366)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f1075,plain,
    ( spl0_81
    | spl0_159
    | ~ spl0_37
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1068,f845,f368,f1020,f573]) ).

fof(f573,plain,
    ( spl0_81
  <=> c0_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1020,plain,
    ( spl0_159
  <=> c1_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f845,plain,
    ( spl0_131
  <=> c2_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1068,plain,
    ( c1_1(a387)
    | c0_1(a387)
    | ~ spl0_37
    | spl0_131 ),
    inference(resolution,[],[f369,f847]) ).

fof(f847,plain,
    ( ~ c2_1(a387)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f1074,plain,
    ( spl0_152
    | spl0_165
    | ~ spl0_37
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1065,f610,f368,f1071,f974]) ).

fof(f1065,plain,
    ( c0_1(a360)
    | c1_1(a360)
    | ~ spl0_37
    | spl0_89 ),
    inference(resolution,[],[f369,f612]) ).

fof(f612,plain,
    ( ~ c2_1(a360)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f1051,plain,
    ( spl0_108
    | ~ spl0_163
    | ~ spl0_18
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1045,f665,f285,f1048,f708]) ).

fof(f1045,plain,
    ( ~ c2_1(a355)
    | c1_1(a355)
    | ~ spl0_18
    | ~ spl0_100 ),
    inference(resolution,[],[f286,f667]) ).

fof(f1041,plain,
    ( spl0_162
    | spl0_104
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1036,f794,f227,f687,f1038]) ).

fof(f794,plain,
    ( spl0_123
  <=> c1_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1036,plain,
    ( c3_1(a363)
    | c0_1(a363)
    | ~ spl0_4
    | ~ spl0_123 ),
    inference(resolution,[],[f228,f796]) ).

fof(f796,plain,
    ( c1_1(a363)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f1034,plain,
    ( ~ spl0_2
    | spl0_37
    | spl0_98
    | spl0_84 ),
    inference(avatar_split_clause,[],[f53,f588,f655,f368,f220]) ).

fof(f220,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f655,plain,
    ( spl0_98
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f53,plain,
    ! [X78,X77] :
      ( ~ c1_1(X78)
      | hskp0
      | c0_1(X77)
      | c1_1(X77)
      | c2_1(X77)
      | c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & ndr1_0
        & c3_1(a361) )
      | ~ hskp7 )
    & ( ! [X103] :
          ( ~ ndr1_0
          | ~ c0_1(X103)
          | c3_1(X103)
          | c2_1(X103) )
      | hskp1
      | ! [X104] :
          ( c1_1(X104)
          | c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp6
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8) ) )
    & ( hskp0
      | ! [X124] :
          ( c0_1(X124)
          | ~ c3_1(X124)
          | c1_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0
          | c2_1(X125) ) )
    & ( ( ndr1_0
        & ~ c0_1(a366)
        & ~ c2_1(a366)
        & ~ c3_1(a366) )
      | ~ hskp10 )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | c2_1(X67)
          | ~ c1_1(X67) )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0
          | c2_1(X68) )
      | ! [X69] :
          ( ~ c2_1(X69)
          | c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a368)
        & c3_1(a368)
        & ~ c1_1(a368) ) )
    & ( hskp16
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ ndr1_0
          | ~ c0_1(X82)
          | c3_1(X82) )
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0
          | ~ c3_1(X81) ) )
    & ( ! [X6] :
          ( ~ c0_1(X6)
          | ~ ndr1_0
          | c1_1(X6)
          | c2_1(X6) )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ ndr1_0
          | ~ c1_1(X5)
          | ~ c2_1(X5) )
      | hskp22 )
    & ( ( c3_1(a398)
        & ndr1_0
        & ~ c2_1(a398)
        & c1_1(a398) )
      | ~ hskp23 )
    & ( hskp29
      | hskp10
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp10
      | ! [X116] :
          ( ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a375)
        & ndr1_0
        & ~ c1_1(a375)
        & c3_1(a375) )
      | ~ hskp14 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ ndr1_0
          | c3_1(X99) )
      | hskp3
      | hskp19 )
    & ( ( c0_1(a410)
        & c2_1(a410)
        & ndr1_0
        & c3_1(a410) )
      | ~ hskp31 )
    & ( hskp23
      | hskp30
      | ! [X39] :
          ( c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0
          | ~ c3_1(X39) ) )
    & ( hskp27
      | hskp4
      | hskp13 )
    & ( ~ hskp17
      | ( c1_1(a380)
        & ndr1_0
        & ~ c3_1(a380)
        & c0_1(a380) ) )
    & ( ! [X55] :
          ( c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0
          | ~ c2_1(X55) )
      | hskp16
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | c1_1(X54)
          | c3_1(X54) ) )
    & ( hskp24
      | hskp11
      | hskp4 )
    & ( hskp11
      | hskp16
      | hskp15 )
    & ( hskp24
      | hskp19
      | ! [X106] :
          ( c1_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( c0_1(X105)
          | ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c3_1(X105) )
      | hskp0 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | c1_1(X72)
          | c0_1(X72) )
      | ! [X70] :
          ( ~ ndr1_0
          | c0_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70) ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ ndr1_0
          | c0_1(X88)
          | ~ c2_1(X88) )
      | hskp16
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89) ) )
    & ( hskp15
      | ! [X100] :
          ( c0_1(X100)
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c0_1(X101)
          | c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c2_1(a376)
        & c0_1(a376)
        & ~ c1_1(a376) )
      | ~ hskp15 )
    & ( ! [X111] :
          ( ~ c3_1(X111)
          | ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110) )
      | hskp28 )
    & ( ~ hskp26
      | ( c0_1(a418)
        & ~ c2_1(a418)
        & ndr1_0
        & ~ c3_1(a418) ) )
    & ( hskp6
      | hskp24
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c1_1(X45)
          | c2_1(X45) ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | ~ ndr1_0
          | c1_1(X28)
          | c0_1(X28) )
      | hskp7
      | ! [X27] :
          ( c2_1(X27)
          | ~ ndr1_0
          | ~ c3_1(X27)
          | c0_1(X27) ) )
    & ( ~ hskp16
      | ( c2_1(a379)
        & ndr1_0
        & ~ c1_1(a379)
        & ~ c3_1(a379) ) )
    & ( hskp5
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32) )
      | ! [X33] :
          ( c2_1(X33)
          | ~ ndr1_0
          | ~ c3_1(X33)
          | c0_1(X33) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a395)
        & ~ c0_1(a395)
        & ~ c2_1(a395) ) )
    & ( ! [X57] :
          ( ~ c3_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp4
      | ! [X56] :
          ( c0_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a355)
        & c0_1(a355)
        & c3_1(a355) )
      | ~ hskp1 )
    & ( ~ hskp8
      | ( ~ c3_1(a363)
        & c2_1(a363)
        & ndr1_0
        & c1_1(a363) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c2_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( c2_1(X15)
          | ~ ndr1_0
          | c1_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | c2_1(X14)
          | c3_1(X14) ) )
    & ( hskp22
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | ~ c0_1(X44)
          | ~ c3_1(X44) )
      | hskp30 )
    & ( ! [X75] :
          ( ~ c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0
          | c1_1(X75) )
      | hskp3
      | ! [X76] :
          ( c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0
          | ~ c1_1(X76) ) )
    & ( ( ~ c2_1(a360)
        & ndr1_0
        & ~ c1_1(a360)
        & ~ c3_1(a360) )
      | ~ hskp6 )
    & ( ! [X113] :
          ( ~ c2_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c0_1(X112)
          | ~ ndr1_0
          | ~ c2_1(X112) )
      | ! [X114] :
          ( c3_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0
          | ~ c0_1(X114) ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0
          | c2_1(X91) )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ ndr1_0
          | ~ c2_1(X92)
          | c3_1(X92) )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0
          | ~ c3_1(X90) ) )
    & ( hskp10
      | ! [X37] :
          ( ~ c3_1(X37)
          | c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c0_1(a353)
        & c1_1(a353)
        & ~ c2_1(a353) ) )
    & ( hskp8
      | hskp25
      | hskp11 )
    & ( ! [X115] :
          ( ~ c1_1(X115)
          | ~ ndr1_0
          | ~ c3_1(X115)
          | c2_1(X115) )
      | hskp2
      | hskp19 )
    & ( ( ndr1_0
        & ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446) )
      | ~ hskp27 )
    & ( hskp25
      | ! [X83] :
          ( ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X107] :
          ( ~ c2_1(X107)
          | c0_1(X107)
          | c3_1(X107)
          | ~ ndr1_0 )
      | hskp19
      | hskp28 )
    & ( hskp3
      | ! [X58] :
          ( c2_1(X58)
          | ~ ndr1_0
          | c0_1(X58)
          | c1_1(X58) )
      | hskp4 )
    & ( hskp14
      | hskp1
      | ! [X123] :
          ( c2_1(X123)
          | ~ c1_1(X123)
          | ~ ndr1_0
          | c0_1(X123) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | c1_1(X21) )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ ndr1_0
          | c3_1(X22)
          | ~ c2_1(X22) )
      | ! [X20] :
          ( ~ c2_1(X20)
          | c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c3_1(X97)
          | ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96) )
      | ! [X98] :
          ( ~ ndr1_0
          | c1_1(X98)
          | ~ c2_1(X98)
          | c3_1(X98) ) )
    & ( hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0
          | c0_1(X10) ) )
    & ( hskp12
      | ! [X2] :
          ( c2_1(X2)
          | ~ ndr1_0
          | c3_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c2_1(X1)
          | c3_1(X1)
          | ~ c1_1(X1) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417) ) )
    & ( ~ hskp19
      | ( ~ c1_1(a387)
        & ndr1_0
        & ~ c2_1(a387)
        & ~ c0_1(a387) ) )
    & ( hskp31
      | ! [X3] :
          ( ~ ndr1_0
          | c1_1(X3)
          | ~ c0_1(X3)
          | ~ c3_1(X3) )
      | ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0
          | c3_1(X4) ) )
    & ( ! [X11] :
          ( c3_1(X11)
          | ~ ndr1_0
          | c2_1(X11)
          | c1_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | c0_1(X12)
          | ~ c1_1(X12) )
      | hskp20 )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | c0_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0
          | c2_1(X73) )
      | hskp10 )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ~ hskp2
      | ( c0_1(a356)
        & c2_1(a356)
        & ~ c1_1(a356)
        & ndr1_0 ) )
    & ( ! [X40] :
          ( c1_1(X40)
          | c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ ndr1_0
          | c2_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42) )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ ndr1_0
          | c2_1(X41)
          | c1_1(X41) ) )
    & ( hskp4
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | c0_1(X102)
          | ~ c2_1(X102) )
      | hskp21 )
    & ( ~ hskp5
      | ( ~ c1_1(a359)
        & ~ c3_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c3_1(X95)
          | c0_1(X95)
          | c2_1(X95) )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0
          | ~ c2_1(X94) )
      | hskp13 )
    & ( hskp29
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ ndr1_0
          | c3_1(X13)
          | ~ c0_1(X13) )
      | hskp12 )
    & ( hskp17
      | hskp1
      | hskp11 )
    & ( ( c2_1(a370)
        & ~ c3_1(a370)
        & ndr1_0
        & c0_1(a370) )
      | ~ hskp13 )
    & ( hskp4
      | hskp6 )
    & ( hskp28
      | ! [X85] :
          ( ~ c0_1(X85)
          | c1_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c0_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c0_1(X78)
          | ~ c1_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( ~ c2_1(a369)
        & ndr1_0
        & c3_1(a369)
        & c0_1(a369) )
      | ~ hskp12 )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0
          | c3_1(X29) )
      | hskp17
      | hskp16 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & ndr1_0
        & c0_1(a372) )
      | ~ hskp29 )
    & ( hskp4
      | ! [X53] :
          ( c0_1(X53)
          | ~ ndr1_0
          | c2_1(X53)
          | ~ c1_1(X53) )
      | ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0
          | c3_1(X52) ) )
    & ( hskp11
      | hskp8
      | ! [X66] :
          ( ~ ndr1_0
          | c0_1(X66)
          | c1_1(X66)
          | ~ c3_1(X66) ) )
    & ( ~ hskp20
      | ( ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0
        & ~ c3_1(a388) ) )
    & ( hskp28
      | ! [X118] :
          ( ~ c2_1(X118)
          | ~ c1_1(X118)
          | ~ ndr1_0
          | ~ c3_1(X118) )
      | ! [X117] :
          ( c1_1(X117)
          | ~ ndr1_0
          | ~ c2_1(X117)
          | c0_1(X117) ) )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | ~ c0_1(X31)
          | ~ c2_1(X31) )
      | ! [X30] :
          ( c3_1(X30)
          | c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X25] :
          ( ~ c3_1(X25)
          | ~ ndr1_0
          | c2_1(X25)
          | ~ c1_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26) )
      | hskp8 )
    & ( hskp8
      | hskp29
      | ! [X18] :
          ( c3_1(X18)
          | c1_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 ) )
    & ( ( ~ c0_1(a364)
        & c2_1(a364)
        & ~ c1_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ~ hskp22
      | ( ~ c0_1(a397)
        & ndr1_0
        & c1_1(a397)
        & c2_1(a397) ) )
    & ( hskp2
      | hskp15
      | ! [X60] :
          ( c0_1(X60)
          | ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c1_1(X60) ) )
    & ( ! [X0] :
          ( c3_1(X0)
          | c2_1(X0)
          | ~ ndr1_0
          | ~ c0_1(X0) )
      | hskp26 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( ! [X49] :
          ( c2_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0
          | c3_1(X51) )
      | ! [X50] :
          ( c2_1(X50)
          | ~ ndr1_0
          | ~ c0_1(X50)
          | ~ c1_1(X50) ) )
    & ( ( ~ c3_1(a358)
        & ndr1_0
        & ~ c0_1(a358)
        & c2_1(a358) )
      | ~ hskp4 )
    & ( hskp2
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ ndr1_0
          | ~ c1_1(X64)
          | ~ c0_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp23
      | ! [X80] :
          ( ~ ndr1_0
          | c1_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80) )
      | ! [X79] :
          ( ~ c3_1(X79)
          | ~ ndr1_0
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( ! [X35] :
          ( ~ c1_1(X35)
          | ~ ndr1_0
          | ~ c0_1(X35)
          | ~ c2_1(X35) )
      | hskp9
      | ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | c1_1(X36)
          | ~ c2_1(X36) ) )
    & ( ! [X17] :
          ( ~ ndr1_0
          | c2_1(X17)
          | c0_1(X17)
          | ~ c3_1(X17) )
      | hskp17 )
    & ( ( ndr1_0
        & c1_1(a365)
        & c2_1(a365)
        & c3_1(a365) )
      | ~ hskp28 )
    & ( hskp29
      | hskp13
      | hskp15 )
    & ( ! [X86] :
          ( ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp18
      | hskp31 )
    & ( hskp19
      | hskp9
      | ! [X34] :
          ( c2_1(X34)
          | ~ c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ c2_1(X59) ) )
    & ( ( ~ c3_1(a399)
        & ndr1_0
        & ~ c0_1(a399)
        & c1_1(a399) )
      | ~ hskp24 )
    & ( ! [X122] :
          ( ~ c1_1(X122)
          | ~ ndr1_0
          | ~ c2_1(X122)
          | ~ c0_1(X122) )
      | ! [X120] :
          ( ~ c1_1(X120)
          | ~ c0_1(X120)
          | ~ ndr1_0
          | ~ c3_1(X120) )
      | ! [X121] :
          ( ~ ndr1_0
          | c0_1(X121)
          | c2_1(X121)
          | ~ c3_1(X121) ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ ndr1_0
          | c0_1(X47)
          | c1_1(X47) )
      | hskp6
      | ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0
          | ~ c3_1(X46) ) )
    & ( ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | hskp16
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0
          | ~ c1_1(X109) ) )
    & ( ! [X119] :
          ( c2_1(X119)
          | ~ c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | hskp30
      | hskp29 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & ndr1_0
        & c1_1(a357) )
      | ~ hskp3 )
    & ( hskp18
      | hskp2
      | ! [X43] :
          ( c2_1(X43)
          | ~ ndr1_0
          | ~ c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp22
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ ndr1_0
          | ~ c0_1(X48)
          | ~ c1_1(X48) )
      | hskp20 )
    & ( ! [X61] :
          ( c3_1(X61)
          | c2_1(X61)
          | ~ ndr1_0
          | c1_1(X61) )
      | ! [X63] :
          ( c3_1(X63)
          | c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a382)
        & ndr1_0
        & ~ c0_1(a382)
        & ~ c2_1(a382) )
      | ~ hskp18 )
    & ( ~ hskp30
      | ( c0_1(a373)
        & ndr1_0
        & c1_1(a373)
        & c3_1(a373) ) )
    & ( hskp11
      | ! [X23] :
          ( c2_1(X23)
          | ~ ndr1_0
          | c1_1(X23)
          | ~ c0_1(X23) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c1_1(X24)
          | c3_1(X24)
          | c0_1(X24) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp3
      | hskp19
      | ! [X99] :
          ( ~ c0_1(X99)
          | c1_1(X99)
          | c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446) )
      | ~ hskp27 )
    & ( ! [X87] :
          ( c0_1(X87)
          | c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( hskp29
      | hskp13
      | hskp15 )
    & ( ~ hskp16
      | ( c2_1(a379)
        & ndr1_0
        & ~ c1_1(a379)
        & ~ c3_1(a379) ) )
    & ( ( ndr1_0
        & c1_1(a365)
        & c2_1(a365)
        & c3_1(a365) )
      | ~ hskp28 )
    & ( ! [X106] :
          ( c1_1(X106)
          | ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp24 )
    & ( hskp8
      | ! [X66] :
          ( c1_1(X66)
          | c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ~ c0_1(a364)
        & c2_1(a364)
        & ~ c1_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ( ~ c3_1(a358)
        & ndr1_0
        & ~ c0_1(a358)
        & c2_1(a358) )
      | ~ hskp4 )
    & ( hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp25
      | ! [X83] :
          ( ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( c1_1(X40)
          | c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c0_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X81] :
          ( ~ c3_1(X81)
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & ndr1_0
        & c0_1(a372) )
      | ~ hskp29 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c0_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp24
      | hskp10 )
    & ( ( ndr1_0
        & ~ c2_1(a376)
        & c0_1(a376)
        & ~ c1_1(a376) )
      | ~ hskp15 )
    & ( ! [X33] :
          ( c0_1(X33)
          | ~ c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | hskp5
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ~ c0_1(a397)
        & ndr1_0
        & c1_1(a397)
        & c2_1(a397) ) )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & ndr1_0
        & c3_1(a361) )
      | ~ hskp7 )
    & ( ! [X13] :
          ( c3_1(X13)
          | ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | hskp29
      | hskp12 )
    & ( ! [X84] :
          ( c0_1(X84)
          | c3_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp28
      | ! [X85] :
          ( ~ c2_1(X85)
          | c1_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | hskp2
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X2] :
          ( c2_1(X2)
          | c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c1_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | c2_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp15
      | hskp2 )
    & ( hskp4
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X58] :
          ( c1_1(X58)
          | c0_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ( c2_1(a370)
        & ~ c3_1(a370)
        & ndr1_0
        & c0_1(a370) )
      | ~ hskp13 )
    & ( hskp21
      | hskp4
      | ! [X102] :
          ( ~ c2_1(X102)
          | c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 ) )
    & ( ~ hskp30
      | ( c0_1(a373)
        & ndr1_0
        & c1_1(a373)
        & c3_1(a373) ) )
    & ( hskp6
      | ! [X45] :
          ( c2_1(X45)
          | ~ c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417) ) )
    & ( hskp10
      | ! [X37] :
          ( c1_1(X37)
          | c0_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c0_1(X101)
          | c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & ndr1_0
        & c1_1(a357) )
      | ~ hskp3 )
    & ( ( ~ c2_1(a360)
        & ndr1_0
        & ~ c1_1(a360)
        & ~ c3_1(a360) )
      | ~ hskp6 )
    & ( ! [X62] :
          ( ~ c1_1(X62)
          | ~ c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp11
      | hskp4 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp6
      | ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp14
      | hskp1
      | ! [X123] :
          ( ~ c1_1(X123)
          | c2_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c2_1(X49)
          | ~ c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( ( ~ c3_1(a399)
        & ndr1_0
        & ~ c0_1(a399)
        & c1_1(a399) )
      | ~ hskp24 )
    & ( hskp23
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | ~ c3_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( ~ c3_1(X67)
          | ~ c1_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c0_1(X68)
          | c2_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | hskp4
      | ! [X53] :
          ( ~ c1_1(X53)
          | c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a395)
        & ~ c0_1(a395)
        & ~ c2_1(a395) ) )
    & ( hskp0
      | ! [X124] :
          ( c0_1(X124)
          | ~ c3_1(X124)
          | c1_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( c2_1(X104)
          | c0_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X28] :
          ( c3_1(X28)
          | c1_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 )
      | hskp7
      | ! [X27] :
          ( ~ c3_1(X27)
          | c0_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X94] :
          ( ~ c1_1(X94)
          | ~ c3_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c0_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | hskp28
      | ! [X110] :
          ( c3_1(X110)
          | c2_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c3_1(a363)
        & c2_1(a363)
        & ndr1_0
        & c1_1(a363) ) )
    & ( ! [X21] :
          ( c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | hskp28
      | hskp19 )
    & ( hskp31
      | ! [X3] :
          ( ~ c0_1(X3)
          | c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( hskp27
      | hskp4
      | hskp13 )
    & ( ( c3_1(a398)
        & ndr1_0
        & ~ c2_1(a398)
        & c1_1(a398) )
      | ~ hskp23 )
    & ( ! [X121] :
          ( c0_1(X121)
          | c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c1_1(X120)
          | ~ c0_1(X120)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp9
      | ! [X34] :
          ( c2_1(X34)
          | c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X105] :
          ( c0_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6 )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a369)
        & ndr1_0
        & c3_1(a369)
        & c0_1(a369) )
      | ~ hskp12 )
    & ( hskp11
      | hskp16
      | hskp15 )
    & ( hskp16
      | ! [X108] :
          ( c2_1(X108)
          | c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a382)
        & ndr1_0
        & ~ c0_1(a382)
        & ~ c2_1(a382) )
      | ~ hskp18 )
    & ( ~ hskp19
      | ( ~ c1_1(a387)
        & ndr1_0
        & ~ c2_1(a387)
        & ~ c0_1(a387) ) )
    & ( hskp10
      | hskp29
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp25
      | hskp11 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | c3_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | ~ c2_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c3_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X8] :
          ( c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp1
      | hskp11 )
    & ( ( ndr1_0
        & ~ c0_1(a366)
        & ~ c2_1(a366)
        & ~ c3_1(a366) )
      | ~ hskp10 )
    & ( hskp28
      | ! [X117] :
          ( c1_1(X117)
          | c0_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c2_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ( c0_1(a410)
        & c2_1(a410)
        & ndr1_0
        & c3_1(a410) )
      | ~ hskp31 )
    & ( hskp19
      | ! [X115] :
          ( ~ c3_1(X115)
          | c2_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ~ hskp26
      | ( c0_1(a418)
        & ~ c2_1(a418)
        & ndr1_0
        & ~ c3_1(a418) ) )
    & ( ! [X90] :
          ( c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c3_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 ) )
    & ( ~ hskp20
      | ( ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0
        & ~ c3_1(a388) ) )
    & ( hskp29
      | ! [X18] :
          ( c3_1(X18)
          | c1_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c0_1(X12)
          | ~ ndr1_0 )
      | hskp20
      | ! [X11] :
          ( c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c3_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c3_1(X54)
          | c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ( ~ c0_1(a375)
        & ndr1_0
        & ~ c1_1(a375)
        & c3_1(a375) )
      | ~ hskp14 )
    & ( ~ hskp5
      | ( ~ c1_1(a359)
        & ~ c3_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp31
      | hskp18 )
    & ( ! [X26] :
          ( ~ c2_1(X26)
          | c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | hskp8
      | ! [X25] :
          ( ~ c1_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X0] :
          ( ~ c0_1(X0)
          | c3_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a368)
        & c3_1(a368)
        & ~ c1_1(a368) ) )
    & ( ! [X119] :
          ( c0_1(X119)
          | c2_1(X119)
          | ~ c1_1(X119)
          | ~ ndr1_0 )
      | hskp29
      | hskp30 )
    & ( ~ hskp2
      | ( c0_1(a356)
        & c2_1(a356)
        & ~ c1_1(a356)
        & ndr1_0 ) )
    & ( hskp10
      | ! [X74] :
          ( c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp18
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c1_1(X78)
          | ~ c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | hskp0
      | ! [X77] :
          ( c2_1(X77)
          | c0_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c3_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp17
      | hskp16 )
    & ( ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c0_1(X24)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | hskp11 )
    & ( hskp11
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( c1_1(a380)
        & ndr1_0
        & ~ c3_1(a380)
        & c0_1(a380) ) )
    & ( ! [X88] :
          ( c0_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp16 )
    & ( hskp22
      | hskp20
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X39] :
          ( c1_1(X39)
          | ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a355)
        & c0_1(a355)
        & c3_1(a355) )
      | ~ hskp1 )
    & ( ! [X36] :
          ( ~ c2_1(X36)
          | c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | hskp9
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c0_1(a353)
        & c1_1(a353)
        & ~ c2_1(a353) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp3
      | hskp19
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c1_1(X99)
            | c3_1(X99) ) ) )
    & ( ( ndr1_0
        & ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446) )
      | ~ hskp27 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | c1_1(X87)
            | c2_1(X87) ) )
      | hskp5
      | hskp6 )
    & ( hskp29
      | hskp13
      | hskp15 )
    & ( ~ hskp16
      | ( c2_1(a379)
        & ndr1_0
        & ~ c1_1(a379)
        & ~ c3_1(a379) ) )
    & ( ( ndr1_0
        & c1_1(a365)
        & c2_1(a365)
        & c3_1(a365) )
      | ~ hskp28 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | ~ c3_1(X106)
            | ~ c2_1(X106) ) )
      | hskp19
      | hskp24 )
    & ( hskp8
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c0_1(X66)
            | ~ c3_1(X66) ) )
      | hskp11 )
    & ( ( ~ c0_1(a364)
        & c2_1(a364)
        & ~ c1_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c0_1(X93)
            | ~ c2_1(X93) ) )
      | hskp12
      | hskp8 )
    & ( ( ~ c3_1(a358)
        & ndr1_0
        & ~ c0_1(a358)
        & c2_1(a358) )
      | ~ hskp4 )
    & ( hskp17
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c2_1(X9)
            | ~ c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c3_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp2
      | hskp25
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c3_1(X40)
            | c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c2_1(X41)
            | ~ c0_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) ) )
    & ( hskp16
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c2_1(X81)
            | ~ c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c0_1(X82)
            | c3_1(X82) ) ) )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & ndr1_0
        & c0_1(a372) )
      | ~ hskp29 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c0_1(X72)
            | c3_1(X72) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c0_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | c1_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c1_1(X116)
            | ~ c2_1(X116) ) )
      | hskp24
      | hskp10 )
    & ( ( ndr1_0
        & ~ c2_1(a376)
        & c0_1(a376)
        & ~ c1_1(a376) )
      | ~ hskp15 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c3_1(X33)
            | c2_1(X33) ) )
      | hskp5
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c1_1(X32)
            | c3_1(X32) ) ) )
    & ( ~ hskp22
      | ( ~ c0_1(a397)
        & ndr1_0
        & c1_1(a397)
        & c2_1(a397) ) )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & ndr1_0
        & c3_1(a361) )
      | ~ hskp7 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | ~ c0_1(X13)
            | ~ c1_1(X13) ) )
      | hskp29
      | hskp12 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c0_1(X84)
            | c3_1(X84)
            | ~ c1_1(X84) ) )
      | hskp28
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | c1_1(X85)
            | ~ c0_1(X85) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) )
      | hskp2
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c0_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c0_1(X2)
            | c3_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | hskp12 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c2_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c2_1(X14)
            | c0_1(X14) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp31
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | ~ c2_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) )
      | hskp15
      | hskp2 )
    & ( hskp4
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c0_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp3
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | ~ c0_1(X75)
            | c3_1(X75) ) ) )
    & ( hskp3
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c0_1(X58)
            | c2_1(X58) ) )
      | hskp4 )
    & ( ( c2_1(a370)
        & ~ c3_1(a370)
        & ndr1_0
        & c0_1(a370) )
      | ~ hskp13 )
    & ( hskp21
      | hskp4
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c0_1(X102)
            | ~ c3_1(X102) ) ) )
    & ( ~ hskp30
      | ( c0_1(a373)
        & ndr1_0
        & c1_1(a373)
        & c3_1(a373) ) )
    & ( hskp6
      | ! [X45] :
          ( ndr1_0
         => ( c2_1(X45)
            | ~ c3_1(X45)
            | c1_1(X45) ) )
      | hskp24 )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417) ) )
    & ( hskp10
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c0_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | c0_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( c0_1(X101)
            | c2_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c1_1(X100)
            | c0_1(X100) ) )
      | hskp15 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & ndr1_0
        & c1_1(a357) )
      | ~ hskp3 )
    & ( ( ~ c2_1(a360)
        & ndr1_0
        & ~ c1_1(a360)
        & ~ c3_1(a360) )
      | ~ hskp6 )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c3_1(X62)
            | c2_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | c1_1(X61)
            | c3_1(X61) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp24
      | hskp11
      | hskp4 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c1_1(X47)
            | ~ c2_1(X47) ) )
      | hskp6
      | ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c2_1(X46)
            | ~ c3_1(X46) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | c0_1(X17)
            | c2_1(X17) ) )
      | hskp17 )
    & ( hskp14
      | hskp1
      | ! [X123] :
          ( ndr1_0
         => ( ~ c1_1(X123)
            | c2_1(X123)
            | c0_1(X123) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | ~ c3_1(X49)
            | ~ c1_1(X49) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c1_1(X51)
            | c2_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | ~ c1_1(X50) ) ) )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( ( ~ c3_1(a399)
        & ndr1_0
        & ~ c0_1(a399)
        & c1_1(a399) )
      | ~ hskp24 )
    & ( hskp23
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c3_1(X79)
            | c2_1(X79) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c1_1(X67)
            | c2_1(X67) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c0_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | c2_1(X68)
            | ~ c1_1(X68) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) )
      | hskp4
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c2_1(X53)
            | c0_1(X53) ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a395)
        & ~ c0_1(a395)
        & ~ c2_1(a395) ) )
    & ( hskp0
      | ! [X124] :
          ( ndr1_0
         => ( c0_1(X124)
            | ~ c3_1(X124)
            | c1_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c0_1(X104)
            | c1_1(X104) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c0_1(X103)
            | c2_1(X103) ) )
      | hskp1 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c1_1(X28)
            | c0_1(X28) ) )
      | hskp7
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c0_1(X27)
            | c2_1(X27) ) ) )
    & ( hskp13
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | ~ c3_1(X94)
            | ~ c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c0_1(X95)
            | c2_1(X95) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c2_1(X111)
            | ~ c0_1(X111) ) )
      | hskp28
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c2_1(X110)
            | ~ c1_1(X110) ) ) )
    & ( ~ hskp8
      | ( ~ c3_1(a363)
        & c2_1(a363)
        & ndr1_0
        & c1_1(a363) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c2_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c3_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c1_1(X22)
            | c3_1(X22) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | ~ c2_1(X107)
            | c0_1(X107) ) )
      | hskp28
      | hskp19 )
    & ( hskp31
      | ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | c1_1(X3)
            | ~ c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c3_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | ~ c1_1(X44) ) )
      | hskp30
      | hskp22 )
    & ( hskp27
      | hskp4
      | hskp13 )
    & ( ( c3_1(a398)
        & ndr1_0
        & ~ c2_1(a398)
        & c1_1(a398) )
      | ~ hskp23 )
    & ( ! [X121] :
          ( ndr1_0
         => ( c0_1(X121)
            | c2_1(X121)
            | ~ c3_1(X121) ) )
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c1_1(X120)
            | ~ c0_1(X120) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c0_1(X122)
            | ~ c1_1(X122)
            | ~ c2_1(X122) ) ) )
    & ( hskp19
      | hskp9
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c1_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( hskp0
      | ! [X105] :
          ( ndr1_0
         => ( c0_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) ) )
    & ( hskp4
      | hskp6 )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c3_1(X97)
            | ~ c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c3_1(X98)
            | ~ c2_1(X98) ) ) )
    & ( ( ~ c2_1(a369)
        & ndr1_0
        & c3_1(a369)
        & c0_1(a369) )
      | ~ hskp12 )
    & ( hskp11
      | hskp16
      | hskp15 )
    & ( hskp16
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c0_1(X108)
            | ~ c3_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | ~ c2_1(X109)
            | ~ c3_1(X109) ) ) )
    & ( ( c3_1(a382)
        & ndr1_0
        & ~ c0_1(a382)
        & ~ c2_1(a382) )
      | ~ hskp18 )
    & ( ~ hskp19
      | ( ~ c1_1(a387)
        & ndr1_0
        & ~ c2_1(a387)
        & ~ c0_1(a387) ) )
    & ( hskp10
      | hskp29
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | ~ c3_1(X19) ) ) )
    & ( hskp8
      | hskp25
      | hskp11 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c2_1(X114)
            | c3_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c2_1(X113)
            | ~ c1_1(X113) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | c3_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp6
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | ~ c2_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c3_1(X7) ) ) )
    & ( hskp17
      | hskp1
      | hskp11 )
    & ( ( ndr1_0
        & ~ c0_1(a366)
        & ~ c2_1(a366)
        & ~ c3_1(a366) )
      | ~ hskp10 )
    & ( hskp28
      | ! [X117] :
          ( ndr1_0
         => ( c1_1(X117)
            | c0_1(X117)
            | ~ c2_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c1_1(X118)
            | ~ c3_1(X118) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c2_1(X5)
            | ~ c3_1(X5) ) )
      | hskp22 )
    & ( ( c0_1(a410)
        & c2_1(a410)
        & ndr1_0
        & c3_1(a410) )
      | ~ hskp31 )
    & ( hskp19
      | ! [X115] :
          ( ndr1_0
         => ( ~ c3_1(X115)
            | c2_1(X115)
            | ~ c1_1(X115) ) )
      | hskp2 )
    & ( ~ hskp26
      | ( c0_1(a418)
        & ~ c2_1(a418)
        & ndr1_0
        & ~ c3_1(a418) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( c0_1(X90)
            | ~ c1_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c3_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c0_1(X92)
            | ~ c2_1(X92) ) ) )
    & ( ~ hskp20
      | ( ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0
        & ~ c3_1(a388) ) )
    & ( hskp29
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c1_1(X18)
            | ~ c0_1(X18) ) )
      | hskp8 )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c0_1(X12) ) )
      | hskp20
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | c1_1(X54)
            | ~ c0_1(X54) ) )
      | hskp16 )
    & ( ( ~ c0_1(a375)
        & ndr1_0
        & ~ c1_1(a375)
        & c3_1(a375) )
      | ~ hskp14 )
    & ( ~ hskp5
      | ( ~ c1_1(a359)
        & ~ c3_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp31
      | hskp18 )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c0_1(X26)
            | c1_1(X26) ) )
      | hskp8
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | ~ c3_1(X25) ) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c0_1(X0)
            | c3_1(X0)
            | c2_1(X0) ) )
      | hskp26 )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a368)
        & c3_1(a368)
        & ~ c1_1(a368) ) )
    & ( ! [X119] :
          ( ndr1_0
         => ( c0_1(X119)
            | c2_1(X119)
            | ~ c1_1(X119) ) )
      | hskp29
      | hskp30 )
    & ( ~ hskp2
      | ( c0_1(a356)
        & c2_1(a356)
        & ~ c1_1(a356)
        & ndr1_0 ) )
    & ( hskp10
      | ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c2_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c1_1(X73) ) ) )
    & ( hskp2
      | hskp18
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | ~ c2_1(X78)
            | c0_1(X78) ) )
      | hskp0
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | c0_1(X77)
            | c1_1(X77) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c0_1(X29)
            | ~ c1_1(X29) ) )
      | hskp17
      | hskp16 )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c3_1(X24)
            | c0_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c2_1(X23)
            | ~ c0_1(X23) ) )
      | hskp11 )
    & ( hskp11
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c3_1(X59)
            | ~ c1_1(X59) ) ) )
    & ( ~ hskp17
      | ( c1_1(a380)
        & ndr1_0
        & ~ c3_1(a380)
        & c0_1(a380) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( c0_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c2_1(X89)
            | ~ c1_1(X89) ) )
      | hskp16 )
    & ( hskp22
      | hskp20
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c0_1(X48)
            | ~ c1_1(X48) ) ) )
    & ( hskp23
      | hskp30
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c3_1(X39)
            | ~ c2_1(X39) ) ) )
    & ( ( ndr1_0
        & ~ c1_1(a355)
        & c0_1(a355)
        & c3_1(a355) )
      | ~ hskp1 )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | c0_1(X36)
            | c1_1(X36) ) )
      | hskp9
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) ) )
    & ( ~ hskp0
      | ( ndr1_0
        & c0_1(a353)
        & c1_1(a353)
        & ~ c2_1(a353) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp3
          | hskp19
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c1_1(X99)
                | c3_1(X99) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a446)
            & c3_1(a446)
            & c2_1(a446) )
          | ~ hskp27 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | c1_1(X87)
                | c2_1(X87) ) )
          | hskp5
          | hskp6 )
        & ( hskp29
          | hskp13
          | hskp15 )
        & ( ~ hskp16
          | ( c2_1(a379)
            & ndr1_0
            & ~ c1_1(a379)
            & ~ c3_1(a379) ) )
        & ( ( ndr1_0
            & c1_1(a365)
            & c2_1(a365)
            & c3_1(a365) )
          | ~ hskp28 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | ~ c3_1(X106)
                | ~ c2_1(X106) ) )
          | hskp19
          | hskp24 )
        & ( hskp8
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c0_1(X66)
                | ~ c3_1(X66) ) )
          | hskp11 )
        & ( ( ~ c0_1(a364)
            & c2_1(a364)
            & ~ c1_1(a364)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c0_1(X93)
                | ~ c2_1(X93) ) )
          | hskp12
          | hskp8 )
        & ( ( ~ c3_1(a358)
            & ndr1_0
            & ~ c0_1(a358)
            & c2_1(a358) )
          | ~ hskp4 )
        & ( hskp17
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c2_1(X9)
                | ~ c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c3_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | hskp25
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c0_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( hskp16
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) ) )
        & ( ( c2_1(a372)
            & c1_1(a372)
            & ndr1_0
            & c0_1(a372) )
          | ~ hskp29 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c0_1(X72)
                | c3_1(X72) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c0_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c1_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | ~ c2_1(X116) ) )
          | hskp24
          | hskp10 )
        & ( ( ndr1_0
            & ~ c2_1(a376)
            & c0_1(a376)
            & ~ c1_1(a376) )
          | ~ hskp15 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c3_1(X33)
                | c2_1(X33) ) )
          | hskp5
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c3_1(X32) ) ) )
        & ( ~ hskp22
          | ( ~ c0_1(a397)
            & ndr1_0
            & c1_1(a397)
            & c2_1(a397) ) )
        & ( ( ~ c2_1(a361)
            & ~ c1_1(a361)
            & ndr1_0
            & c3_1(a361) )
          | ~ hskp7 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | ~ c0_1(X13)
                | ~ c1_1(X13) ) )
          | hskp29
          | hskp12 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | c3_1(X84)
                | ~ c1_1(X84) ) )
          | hskp28
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | c1_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | hskp2
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c0_1(X2)
                | c3_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | hskp12 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c2_1(X14)
                | c0_1(X14) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp31
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | ~ c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | hskp15
          | hskp2 )
        & ( hskp4
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) ) )
        & ( hskp3
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c0_1(X58)
                | c2_1(X58) ) )
          | hskp4 )
        & ( ( c2_1(a370)
            & ~ c3_1(a370)
            & ndr1_0
            & c0_1(a370) )
          | ~ hskp13 )
        & ( hskp21
          | hskp4
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c0_1(X102)
                | ~ c3_1(X102) ) ) )
        & ( ~ hskp30
          | ( c0_1(a373)
            & ndr1_0
            & c1_1(a373)
            & c3_1(a373) ) )
        & ( hskp6
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c3_1(X45)
                | c1_1(X45) ) )
          | hskp24 )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c3_1(a417)
            & ~ c1_1(a417)
            & c0_1(a417) ) )
        & ( hskp10
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c0_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c0_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c0_1(X101)
                | c2_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c0_1(X100) ) )
          | hskp15 )
        & ( ( ~ c0_1(a357)
            & c3_1(a357)
            & ndr1_0
            & c1_1(a357) )
          | ~ hskp3 )
        & ( ( ~ c2_1(a360)
            & ndr1_0
            & ~ c1_1(a360)
            & ~ c3_1(a360) )
          | ~ hskp6 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c3_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | c3_1(X61) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp24
          | hskp11
          | hskp4 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c1_1(X47)
                | ~ c2_1(X47) ) )
          | hskp6
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c0_1(X17)
                | c2_1(X17) ) )
          | hskp17 )
        & ( hskp14
          | hskp1
          | ! [X123] :
              ( ndr1_0
             => ( ~ c1_1(X123)
                | c2_1(X123)
                | c0_1(X123) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c3_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c1_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | ~ c1_1(X50) ) ) )
        & ( hskp6
          | hskp18
          | hskp21 )
        & ( ( ~ c3_1(a399)
            & ndr1_0
            & ~ c0_1(a399)
            & c1_1(a399) )
          | ~ hskp24 )
        & ( hskp23
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c3_1(X79)
                | c2_1(X79) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c2_1(X67) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c0_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c2_1(X68)
                | ~ c1_1(X68) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) )
          | hskp4
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a395)
            & ~ c0_1(a395)
            & ~ c2_1(a395) ) )
        & ( hskp0
          | ! [X124] :
              ( ndr1_0
             => ( c0_1(X124)
                | ~ c3_1(X124)
                | c1_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c0_1(X104)
                | c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | c2_1(X103) ) )
          | hskp1 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) )
          | hskp7
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c0_1(X27)
                | c2_1(X27) ) ) )
        & ( hskp13
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c3_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c0_1(X95)
                | c2_1(X95) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) )
          | hskp28
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( ~ hskp8
          | ( ~ c3_1(a363)
            & c2_1(a363)
            & ndr1_0
            & c1_1(a363) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c3_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | c3_1(X22) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c2_1(X107)
                | c0_1(X107) ) )
          | hskp28
          | hskp19 )
        & ( hskp31
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c1_1(X3)
                | ~ c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c3_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | ~ c1_1(X44) ) )
          | hskp30
          | hskp22 )
        & ( hskp27
          | hskp4
          | hskp13 )
        & ( ( c3_1(a398)
            & ndr1_0
            & ~ c2_1(a398)
            & c1_1(a398) )
          | ~ hskp23 )
        & ( ! [X121] :
              ( ndr1_0
             => ( c0_1(X121)
                | c2_1(X121)
                | ~ c3_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c1_1(X120)
                | ~ c0_1(X120) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c1_1(X122)
                | ~ c2_1(X122) ) ) )
        & ( hskp19
          | hskp9
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( hskp0
          | ! [X105] :
              ( ndr1_0
             => ( c0_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) ) )
        & ( hskp4
          | hskp6 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c3_1(X97)
                | ~ c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c3_1(X98)
                | ~ c2_1(X98) ) ) )
        & ( ( ~ c2_1(a369)
            & ndr1_0
            & c3_1(a369)
            & c0_1(a369) )
          | ~ hskp12 )
        & ( hskp11
          | hskp16
          | hskp15 )
        & ( hskp16
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c0_1(X108)
                | ~ c3_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) ) )
        & ( ( c3_1(a382)
            & ndr1_0
            & ~ c0_1(a382)
            & ~ c2_1(a382) )
          | ~ hskp18 )
        & ( ~ hskp19
          | ( ~ c1_1(a387)
            & ndr1_0
            & ~ c2_1(a387)
            & ~ c0_1(a387) ) )
        & ( hskp10
          | hskp29
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( hskp8
          | hskp25
          | hskp11 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | c3_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | c3_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp6
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | ~ c2_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c3_1(X7) ) ) )
        & ( hskp17
          | hskp1
          | hskp11 )
        & ( ( ndr1_0
            & ~ c0_1(a366)
            & ~ c2_1(a366)
            & ~ c3_1(a366) )
          | ~ hskp10 )
        & ( hskp28
          | ! [X117] :
              ( ndr1_0
             => ( c1_1(X117)
                | c0_1(X117)
                | ~ c2_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | ~ c3_1(X118) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c2_1(X5)
                | ~ c3_1(X5) ) )
          | hskp22 )
        & ( ( c0_1(a410)
            & c2_1(a410)
            & ndr1_0
            & c3_1(a410) )
          | ~ hskp31 )
        & ( hskp19
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | c2_1(X115)
                | ~ c1_1(X115) ) )
          | hskp2 )
        & ( ~ hskp26
          | ( c0_1(a418)
            & ~ c2_1(a418)
            & ndr1_0
            & ~ c3_1(a418) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c0_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c3_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c0_1(X92)
                | ~ c2_1(X92) ) ) )
        & ( ~ hskp20
          | ( ~ c2_1(a388)
            & c1_1(a388)
            & ndr1_0
            & ~ c3_1(a388) ) )
        & ( hskp29
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | ~ c0_1(X18) ) )
          | hskp8 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c0_1(X12) ) )
          | hskp20
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c1_1(X54)
                | ~ c0_1(X54) ) )
          | hskp16 )
        & ( ( ~ c0_1(a375)
            & ndr1_0
            & ~ c1_1(a375)
            & c3_1(a375) )
          | ~ hskp14 )
        & ( ~ hskp5
          | ( ~ c1_1(a359)
            & ~ c3_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp31
          | hskp18 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c0_1(X26)
                | c1_1(X26) ) )
          | hskp8
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | ~ c3_1(X25) ) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | c3_1(X0)
                | c2_1(X0) ) )
          | hskp26 )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a368)
            & c3_1(a368)
            & ~ c1_1(a368) ) )
        & ( ! [X119] :
              ( ndr1_0
             => ( c0_1(X119)
                | c2_1(X119)
                | ~ c1_1(X119) ) )
          | hskp29
          | hskp30 )
        & ( ~ hskp2
          | ( c0_1(a356)
            & c2_1(a356)
            & ~ c1_1(a356)
            & ndr1_0 ) )
        & ( hskp10
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) ) )
        & ( hskp2
          | hskp18
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) )
          | hskp0
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c0_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) )
          | hskp17
          | hskp16 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | ~ c0_1(X23) ) )
          | hskp11 )
        & ( hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c3_1(X59)
                | ~ c1_1(X59) ) ) )
        & ( ~ hskp17
          | ( c1_1(a380)
            & ndr1_0
            & ~ c3_1(a380)
            & c0_1(a380) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c0_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c1_1(X89) ) )
          | hskp16 )
        & ( hskp22
          | hskp20
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c0_1(X48)
                | ~ c1_1(X48) ) ) )
        & ( hskp23
          | hskp30
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c3_1(X39)
                | ~ c2_1(X39) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a355)
            & c0_1(a355)
            & c3_1(a355) )
          | ~ hskp1 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c0_1(X36)
                | c1_1(X36) ) )
          | hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) ) )
        & ( ~ hskp0
          | ( ndr1_0
            & c0_1(a353)
            & c1_1(a353)
            & ~ c2_1(a353) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ( ~ c3_1(a358)
            & ndr1_0
            & ~ c0_1(a358)
            & c2_1(a358) )
          | ~ hskp4 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c2_1(X107)
                | c3_1(X107) ) )
          | hskp26 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c3_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | hskp12 )
        & ( ~ hskp0
          | ( ndr1_0
            & c0_1(a353)
            & c1_1(a353)
            & ~ c2_1(a353) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c1_1(X100)
                | ~ c0_1(X100) ) )
          | hskp31
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c1_1(X83)
                | c2_1(X83) ) )
          | hskp22 )
        & ( ( ~ c0_1(a375)
            & ndr1_0
            & ~ c1_1(a375)
            & c3_1(a375) )
          | ~ hskp14 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c1_1(X119)
                | ~ c3_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c2_1(X118)
                | ~ c0_1(X118) ) )
          | hskp6 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c0_1(X74)
                | ~ c3_1(X74) ) )
          | hskp17 )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a395)
            & ~ c0_1(a395)
            & ~ c2_1(a395) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) )
          | hskp20
          | ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c3_1(X69)
                | ~ c1_1(X69) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a366)
            & ~ c2_1(a366)
            & ~ c3_1(a366) )
          | ~ hskp10 )
        & ( hskp29
          | hskp13
          | hskp15 )
        & ( hskp12
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | c3_1(X114)
                | ~ c1_1(X114) ) )
          | hskp29 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c3_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c2_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( ~ hskp26
          | ( c0_1(a418)
            & ~ c2_1(a418)
            & ndr1_0
            & ~ c3_1(a418) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c3_1(X57)
                | c0_1(X57) ) )
          | hskp17 )
        & ( hskp8
          | hskp29
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | c3_1(X91) ) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a368)
            & c3_1(a368)
            & ~ c1_1(a368) ) )
        & ( ( ~ c2_1(a369)
            & ndr1_0
            & c3_1(a369)
            & c0_1(a369) )
          | ~ hskp12 )
        & ( hskp10
          | hskp29
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp24
          | hskp11
          | hskp4 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c2_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c3_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) ) )
        & ( ~ hskp2
          | ( c0_1(a356)
            & c2_1(a356)
            & ~ c1_1(a356)
            & ndr1_0 ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c0_1(X60) ) )
          | hskp11
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c0_1(X26)
                | c1_1(X26) ) )
          | hskp8 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c0_1(X16)
                | c1_1(X16) ) )
          | hskp7 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | c3_1(X115) ) )
          | hskp17
          | hskp16 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | ~ c2_1(X105) ) )
          | hskp31 )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | hskp5
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c0_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ~ hskp16
          | ( c2_1(a379)
            & ndr1_0
            & ~ c1_1(a379)
            & ~ c3_1(a379) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp19
          | hskp9 )
        & ( ~ hskp8
          | ( ~ c3_1(a363)
            & c2_1(a363)
            & ndr1_0
            & c1_1(a363) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | hskp9
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c3_1(a417)
            & ~ c1_1(a417)
            & c0_1(a417) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c3_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c0_1(X33)
                | c3_1(X33) ) )
          | hskp10 )
        & ( ~ hskp30
          | ( c0_1(a373)
            & ndr1_0
            & c1_1(a373)
            & c3_1(a373) ) )
        & ( ~ hskp17
          | ( c1_1(a380)
            & ndr1_0
            & ~ c3_1(a380)
            & c0_1(a380) ) )
        & ( hskp23
          | hskp30
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | ~ c1_1(X23) ) ) )
        & ( hskp18
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp2 )
        & ( ~ hskp20
          | ( ~ c2_1(a388)
            & c1_1(a388)
            & ndr1_0
            & ~ c3_1(a388) ) )
        & ( ( ndr1_0
            & ~ c0_1(a446)
            & c3_1(a446)
            & c2_1(a446) )
          | ~ hskp27 )
        & ( hskp17
          | hskp1
          | hskp11 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) )
          | hskp22
          | hskp30 )
        & ( hskp11
          | hskp16
          | hskp15 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c3_1(X87)
                | c2_1(X87) ) )
          | hskp24
          | hskp6 )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c3_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c0_1(X24)
                | c1_1(X24) ) ) )
        & ( ( ndr1_0
            & ~ c2_1(a376)
            & c0_1(a376)
            & ~ c1_1(a376) )
          | ~ hskp15 )
        & ( hskp22
          | ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp20 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | c2_1(X110)
                | ~ c1_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c3_1(X108)
                | ~ c1_1(X108) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( hskp16
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c1_1(X89)
                | c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | ~ c1_1(X90) ) ) )
        & ( hskp4
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | ~ c2_1(X54)
                | ~ c3_1(X54) ) ) )
        & ( hskp3
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c0_1(X14)
                | c1_1(X14) ) )
          | hskp4 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c1_1(X125)
                | ~ c2_1(X125) ) )
          | hskp11 )
        & ( hskp15
          | hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c0_1(X76)
                | ~ c1_1(X76) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | ~ c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c3_1(X18)
                | c1_1(X18) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | ~ c2_1(X13) ) )
          | hskp2
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a355)
            & c0_1(a355)
            & c3_1(a355) )
          | ~ hskp1 )
        & ( hskp8
          | hskp11
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c0_1(X34)
                | c1_1(X34) ) ) )
        & ( ( c0_1(a410)
            & c2_1(a410)
            & ndr1_0
            & c3_1(a410) )
          | ~ hskp31 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c0_1(X42)
                | ~ c2_1(X42) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | c1_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c2_1(X0)
                | c1_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c3_1(X78)
                | ~ c1_1(X78) ) )
          | hskp10
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c0_1(X77)
                | ~ c2_1(X77) ) ) )
        & ( ( ~ c3_1(a399)
            & ndr1_0
            & ~ c0_1(a399)
            & c1_1(a399) )
          | ~ hskp24 )
        & ( hskp6
          | hskp18
          | hskp21 )
        & ( hskp4
          | hskp6 )
        & ( hskp3
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | c1_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) ) )
        & ( ( c2_1(a370)
            & ~ c3_1(a370)
            & ndr1_0
            & c0_1(a370) )
          | ~ hskp13 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c0_1(X8)
                | c1_1(X8) ) )
          | hskp0
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( hskp23
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c3_1(X85)
                | c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c3_1(X86)
                | c1_1(X86) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c3_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) )
          | hskp16 )
        & ( ( ~ c0_1(a357)
            & c3_1(a357)
            & ndr1_0
            & c1_1(a357) )
          | ~ hskp3 )
        & ( hskp2
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | c2_1(X106)
                | ~ c0_1(X106) ) )
          | hskp25 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | ~ c1_1(X63) ) )
          | hskp28
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c1_1(X64)
                | ~ c0_1(X64) ) ) )
        & ( hskp18
          | hskp31
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c0_1(X123)
                | ~ c2_1(X123) ) ) )
        & ( ( ~ c0_1(a364)
            & c2_1(a364)
            & ~ c1_1(a364)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c0_1(X15)
                | c2_1(X15) ) )
          | hskp5
          | hskp6 )
        & ( ~ hskp19
          | ( ~ c1_1(a387)
            & ndr1_0
            & ~ c2_1(a387)
            & ~ c0_1(a387) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c1_1(X80) ) )
          | hskp16 )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c3_1(X71)
                | c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c1_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c2_1(X73)
                | ~ c0_1(X73) ) ) )
        & ( hskp12
          | hskp8
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | hskp13
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c3_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c2_1(X96) ) ) )
        & ( hskp19
          | hskp3
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp15 )
        & ( ( c3_1(a382)
            & ndr1_0
            & ~ c0_1(a382)
            & ~ c2_1(a382) )
          | ~ hskp18 )
        & ( ( ~ c2_1(a360)
            & ndr1_0
            & ~ c1_1(a360)
            & ~ c3_1(a360) )
          | ~ hskp6 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c3_1(X82)
                | c0_1(X82) ) )
          | hskp4
          | hskp21 )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp0
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c3_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp19
          | ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp24 )
        & ( hskp19
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c3_1(X68)
                | ~ c2_1(X68) ) )
          | hskp28 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c3_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c2_1(X56)
                | ~ c3_1(X56) ) )
          | hskp16 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c3_1(X112)
                | ~ c0_1(X112) ) )
          | hskp28 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c0_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) ) )
        & ( ~ hskp22
          | ( ~ c0_1(a397)
            & ndr1_0
            & c1_1(a397)
            & c2_1(a397) ) )
        & ( ( ~ c2_1(a361)
            & ~ c1_1(a361)
            & ndr1_0
            & c3_1(a361) )
          | ~ hskp7 )
        & ( hskp19
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) )
          | hskp2 )
        & ( ~ hskp5
          | ( ~ c1_1(a359)
            & ~ c3_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & c1_1(a365)
            & c2_1(a365)
            & c3_1(a365) )
          | ~ hskp28 )
        & ( hskp8
          | hskp25
          | hskp11 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | hskp24
          | hskp10 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c0_1(X30)
                | ~ c2_1(X30) ) )
          | hskp28
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c3_1(X31)
                | ~ c2_1(X31) ) ) )
        & ( hskp29
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c1_1(X44)
                | c2_1(X44) ) )
          | hskp30 )
        & ( ( c3_1(a398)
            & ndr1_0
            & ~ c2_1(a398)
            & c1_1(a398) )
          | ~ hskp23 )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c0_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( ( c2_1(a372)
            & c1_1(a372)
            & ndr1_0
            & c0_1(a372) )
          | ~ hskp29 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | c0_1(X45)
                | ~ c1_1(X45) ) )
          | hskp1
          | hskp14 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c0_1(X3)
                | c2_1(X3) ) )
          | hskp0 )
        & ( hskp27
          | hskp4
          | hskp13 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ( ~ c3_1(a358)
          & ndr1_0
          & ~ c0_1(a358)
          & c2_1(a358) )
        | ~ hskp4 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c2_1(X107)
              | c3_1(X107) ) )
        | hskp26 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c3_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c3_1(X35)
              | c2_1(X35) ) )
        | hskp12 )
      & ( ~ hskp0
        | ( ndr1_0
          & c0_1(a353)
          & c1_1(a353)
          & ~ c2_1(a353) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | c1_1(X100)
              | ~ c0_1(X100) ) )
        | hskp31
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | c2_1(X101) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c1_1(X83)
              | c2_1(X83) ) )
        | hskp22 )
      & ( ( ~ c0_1(a375)
          & ndr1_0
          & ~ c1_1(a375)
          & c3_1(a375) )
        | ~ hskp14 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c1_1(X119)
              | ~ c3_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c2_1(X118)
              | ~ c0_1(X118) ) )
        | hskp6 )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | c0_1(X74)
              | ~ c3_1(X74) ) )
        | hskp17 )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a395)
          & ~ c0_1(a395)
          & ~ c2_1(a395) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) )
        | hskp20
        | ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c3_1(X69)
              | ~ c1_1(X69) ) ) )
      & ( ( ndr1_0
          & ~ c0_1(a366)
          & ~ c2_1(a366)
          & ~ c3_1(a366) )
        | ~ hskp10 )
      & ( hskp29
        | hskp13
        | hskp15 )
      & ( hskp12
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | c3_1(X114)
              | ~ c1_1(X114) ) )
        | hskp29 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c3_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c2_1(X7)
              | ~ c0_1(X7) ) ) )
      & ( ~ hskp26
        | ( c0_1(a418)
          & ~ c2_1(a418)
          & ndr1_0
          & ~ c3_1(a418) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c3_1(X57)
              | c0_1(X57) ) )
        | hskp17 )
      & ( hskp8
        | hskp29
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | c3_1(X91) ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a368)
          & c3_1(a368)
          & ~ c1_1(a368) ) )
      & ( ( ~ c2_1(a369)
          & ndr1_0
          & c3_1(a369)
          & c0_1(a369) )
        | ~ hskp12 )
      & ( hskp10
        | hskp29
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp24
        | hskp11
        | hskp4 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c2_1(X93)
              | c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c3_1(X94)
              | ~ c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) ) )
      & ( ~ hskp2
        | ( c0_1(a356)
          & c2_1(a356)
          & ~ c1_1(a356)
          & ndr1_0 ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c0_1(X60) ) )
        | hskp11
        | ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c0_1(X26)
              | c1_1(X26) ) )
        | hskp8 )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c0_1(X16)
              | c1_1(X16) ) )
        | hskp7 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c1_1(X115)
              | c3_1(X115) ) )
        | hskp17
        | hskp16 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | ~ c2_1(X105) ) )
        | hskp31 )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | hskp5
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | c0_1(X48)
              | ~ c3_1(X48) ) ) )
      & ( ~ hskp16
        | ( c2_1(a379)
          & ndr1_0
          & ~ c1_1(a379)
          & ~ c3_1(a379) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp19
        | hskp9 )
      & ( ~ hskp8
        | ( ~ c3_1(a363)
          & c2_1(a363)
          & ndr1_0
          & c1_1(a363) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | ~ c2_1(X29)
              | ~ c1_1(X29) ) )
        | hskp9
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c3_1(a417)
          & ~ c1_1(a417)
          & c0_1(a417) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c3_1(X32)
              | c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c0_1(X33)
              | c3_1(X33) ) )
        | hskp10 )
      & ( ~ hskp30
        | ( c0_1(a373)
          & ndr1_0
          & c1_1(a373)
          & c3_1(a373) ) )
      & ( ~ hskp17
        | ( c1_1(a380)
          & ndr1_0
          & ~ c3_1(a380)
          & c0_1(a380) ) )
      & ( hskp23
        | hskp30
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c3_1(X21)
              | c1_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c2_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | ~ c1_1(X23) ) ) )
      & ( hskp18
        | ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | hskp2 )
      & ( ~ hskp20
        | ( ~ c2_1(a388)
          & c1_1(a388)
          & ndr1_0
          & ~ c3_1(a388) ) )
      & ( ( ndr1_0
          & ~ c0_1(a446)
          & c3_1(a446)
          & c2_1(a446) )
        | ~ hskp27 )
      & ( hskp17
        | hskp1
        | hskp11 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) )
        | hskp22
        | hskp30 )
      & ( hskp11
        | hskp16
        | hskp15 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c3_1(X87)
              | c2_1(X87) ) )
        | hskp24
        | hskp6 )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c3_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c0_1(X24)
              | c1_1(X24) ) ) )
      & ( ( ndr1_0
          & ~ c2_1(a376)
          & c0_1(a376)
          & ~ c1_1(a376) )
        | ~ hskp15 )
      & ( hskp22
        | ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp20 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | c2_1(X110)
              | ~ c1_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | c3_1(X108)
              | ~ c1_1(X108) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | c0_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( hskp16
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c1_1(X89)
              | c3_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | c3_1(X90)
              | ~ c1_1(X90) ) ) )
      & ( hskp4
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | ~ c2_1(X54)
              | ~ c3_1(X54) ) ) )
      & ( hskp3
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c0_1(X14)
              | c1_1(X14) ) )
        | hskp4 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c1_1(X125)
              | ~ c2_1(X125) ) )
        | hskp11 )
      & ( hskp15
        | hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c0_1(X76)
              | ~ c1_1(X76) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c2_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | ~ c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c3_1(X18)
              | c1_1(X18) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | ~ c0_1(X13)
              | ~ c2_1(X13) ) )
        | hskp2
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ( ndr1_0
          & ~ c1_1(a355)
          & c0_1(a355)
          & c3_1(a355) )
        | ~ hskp1 )
      & ( hskp8
        | hskp11
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c0_1(X34)
              | c1_1(X34) ) ) )
      & ( ( c0_1(a410)
          & c2_1(a410)
          & ndr1_0
          & c3_1(a410) )
        | ~ hskp31 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | ~ c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c0_1(X42)
              | ~ c2_1(X42) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c2_1(X2)
              | c1_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c2_1(X0)
              | c1_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | c3_1(X78)
              | ~ c1_1(X78) ) )
        | hskp10
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c0_1(X77)
              | ~ c2_1(X77) ) ) )
      & ( ( ~ c3_1(a399)
          & ndr1_0
          & ~ c0_1(a399)
          & c1_1(a399) )
        | ~ hskp24 )
      & ( hskp6
        | hskp18
        | hskp21 )
      & ( hskp4
        | hskp6 )
      & ( hskp3
        | ! [X62] :
            ( ndr1_0
           => ( c3_1(X62)
              | c1_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | c3_1(X61)
              | ~ c1_1(X61) ) ) )
      & ( ( c2_1(a370)
          & ~ c3_1(a370)
          & ndr1_0
          & c0_1(a370) )
        | ~ hskp13 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c0_1(X8)
              | c1_1(X8) ) )
        | hskp0
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( hskp23
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c3_1(X85)
              | c1_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c3_1(X86)
              | c1_1(X86) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c3_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) )
        | hskp16 )
      & ( ( ~ c0_1(a357)
          & c3_1(a357)
          & ndr1_0
          & c1_1(a357) )
        | ~ hskp3 )
      & ( hskp2
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | c2_1(X106)
              | ~ c0_1(X106) ) )
        | hskp25 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c3_1(X63)
              | ~ c1_1(X63) ) )
        | hskp28
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c1_1(X64)
              | ~ c0_1(X64) ) ) )
      & ( hskp18
        | hskp31
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c0_1(X123)
              | ~ c2_1(X123) ) ) )
      & ( ( ~ c0_1(a364)
          & c2_1(a364)
          & ~ c1_1(a364)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c0_1(X15)
              | c2_1(X15) ) )
        | hskp5
        | hskp6 )
      & ( ~ hskp19
        | ( ~ c1_1(a387)
          & ndr1_0
          & ~ c2_1(a387)
          & ~ c0_1(a387) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | ~ c1_1(X80) ) )
        | hskp16 )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c3_1(X71)
              | c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c1_1(X72)
              | c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c2_1(X73)
              | ~ c0_1(X73) ) ) )
      & ( hskp12
        | hskp8
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) )
        | hskp13
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c3_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c2_1(X96) ) ) )
      & ( hskp19
        | hskp3
        | ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp15 )
      & ( ( c3_1(a382)
          & ndr1_0
          & ~ c0_1(a382)
          & ~ c2_1(a382) )
        | ~ hskp18 )
      & ( ( ~ c2_1(a360)
          & ndr1_0
          & ~ c1_1(a360)
          & ~ c3_1(a360) )
        | ~ hskp6 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c3_1(X82)
              | c0_1(X82) ) )
        | hskp4
        | hskp21 )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c0_1(X10)
              | c2_1(X10) ) ) )
      & ( hskp0
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c3_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp19
        | ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp24 )
      & ( hskp19
        | ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | c3_1(X68)
              | ~ c2_1(X68) ) )
        | hskp28 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c3_1(X55)
              | c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c2_1(X56)
              | ~ c3_1(X56) ) )
        | hskp16 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c3_1(X112)
              | ~ c0_1(X112) ) )
        | hskp28 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c0_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) ) )
      & ( ~ hskp22
        | ( ~ c0_1(a397)
          & ndr1_0
          & c1_1(a397)
          & c2_1(a397) ) )
      & ( ( ~ c2_1(a361)
          & ~ c1_1(a361)
          & ndr1_0
          & c3_1(a361) )
        | ~ hskp7 )
      & ( hskp19
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | c2_1(X113) ) )
        | hskp2 )
      & ( ~ hskp5
        | ( ~ c1_1(a359)
          & ~ c3_1(a359)
          & ~ c0_1(a359)
          & ndr1_0 ) )
      & ( ( ndr1_0
          & c1_1(a365)
          & c2_1(a365)
          & c3_1(a365) )
        | ~ hskp28 )
      & ( hskp8
        | hskp25
        | hskp11 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | hskp24
        | hskp10 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c0_1(X30)
              | ~ c2_1(X30) ) )
        | hskp28
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | ~ c3_1(X31)
              | ~ c2_1(X31) ) ) )
      & ( hskp29
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c1_1(X44)
              | c2_1(X44) ) )
        | hskp30 )
      & ( ( c3_1(a398)
          & ndr1_0
          & ~ c2_1(a398)
          & c1_1(a398) )
        | ~ hskp23 )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c0_1(X51)
              | ~ c2_1(X51) ) ) )
      & ( ( c2_1(a372)
          & c1_1(a372)
          & ndr1_0
          & c0_1(a372) )
        | ~ hskp29 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | c0_1(X45)
              | ~ c1_1(X45) ) )
        | hskp1
        | hskp14 )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c0_1(X3)
              | c2_1(X3) ) )
        | hskp0 )
      & ( hskp27
        | hskp4
        | hskp13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1023,plain,
    ( ~ spl0_159
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f150,f569,f1020]) ).

fof(f569,plain,
    ( spl0_80
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f150,plain,
    ( ~ hskp19
    | ~ c1_1(a387) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1018,plain,
    ( spl0_109
    | ~ spl0_2
    | spl0_44
    | spl0_37 ),
    inference(avatar_split_clause,[],[f19,f368,f397,f220,f713]) ).

fof(f713,plain,
    ( spl0_109
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f397,plain,
    ( spl0_44
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f19,plain,
    ! [X87] :
      ( c0_1(X87)
      | hskp6
      | ~ ndr1_0
      | c2_1(X87)
      | hskp5
      | c1_1(X87) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1016,plain,
    ( ~ spl0_158
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f84,f378,f1013]) ).

fof(f378,plain,
    ( spl0_40
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f84,plain,
    ( ~ hskp10
    | ~ c2_1(a366) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1011,plain,
    ( ~ spl0_157
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f104,f358,f1008]) ).

fof(f358,plain,
    ( spl0_35
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f104,plain,
    ( ~ hskp17
    | ~ c3_1(a380) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1006,plain,
    ( spl0_2
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f142,f320,f220]) ).

fof(f320,plain,
    ( spl0_26
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f142,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1004,plain,
    ( spl0_51
    | ~ spl0_2
    | spl0_59
    | spl0_37 ),
    inference(avatar_split_clause,[],[f64,f368,f464,f220,f429]) ).

fof(f429,plain,
    ( spl0_51
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f64,plain,
    ! [X65,X64] :
      ( c0_1(X65)
      | ~ c1_1(X64)
      | ~ c2_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | hskp2
      | c2_1(X65) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1003,plain,
    ( spl0_22
    | spl0_34
    | spl0_30
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f39,f220,f338,f354,f302]) ).

fof(f302,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f354,plain,
    ( spl0_34
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f39,plain,
    ! [X123] :
      ( ~ ndr1_0
      | c2_1(X123)
      | hskp1
      | ~ c1_1(X123)
      | hskp14
      | c0_1(X123) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_5
    | spl0_156 ),
    inference(avatar_split_clause,[],[f162,f999,f231]) ).

fof(f231,plain,
    ( spl0_5
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f162,plain,
    ( c2_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f70,f235,f220,f216]) ).

fof(f216,plain,
    ( spl0_1
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f70,plain,
    ! [X59] :
      ( ~ c3_1(X59)
      | ~ ndr1_0
      | hskp11
      | ~ c2_1(X59)
      | ~ c1_1(X59) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f996,plain,
    ( ~ spl0_2
    | spl0_34
    | spl0_37
    | spl0_54 ),
    inference(avatar_split_clause,[],[f7,f443,f368,f354,f220]) ).

fof(f7,plain,
    ! [X104,X103] :
      ( c3_1(X103)
      | c0_1(X104)
      | hskp1
      | ~ c0_1(X103)
      | c2_1(X103)
      | ~ ndr1_0
      | c2_1(X104)
      | c1_1(X104) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_47
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f111,f992,f410]) ).

fof(f410,plain,
    ( spl0_47
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f111,plain,
    ( ~ c3_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f990,plain,
    ( spl0_44
    | ~ spl0_2
    | spl0_68
    | spl0_39 ),
    inference(avatar_split_clause,[],[f72,f374,f506,f220,f397]) ).

fof(f72,plain,
    ! [X46,X47] :
      ( c0_1(X47)
      | ~ c3_1(X46)
      | c0_1(X46)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | hskp6
      | ~ c2_1(X46) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f989,plain,
    ( spl0_2
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f185,f324,f220]) ).

fof(f324,plain,
    ( spl0_27
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f185,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f988,plain,
    ( ~ spl0_1
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f87,f985,f216]) ).

fof(f87,plain,
    ( ~ c1_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f983,plain,
    ( spl0_153
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f129,f346,f980]) ).

fof(f346,plain,
    ( spl0_32
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f129,plain,
    ( ~ hskp8
    | c2_1(a363) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f977,plain,
    ( ~ spl0_44
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f132,f974,f397]) ).

fof(f132,plain,
    ( ~ c1_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f966,plain,
    ( ~ spl0_109
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f158,f963,f713]) ).

fof(f158,plain,
    ( ~ c1_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( spl0_148
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f187,f526,f952]) ).

fof(f526,plain,
    ( spl0_72
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f187,plain,
    ( ~ hskp28
    | c3_1(a365) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( spl0_72
    | ~ spl0_2
    | spl0_4
    | spl0_33 ),
    inference(avatar_split_clause,[],[f52,f350,f227,f220,f526]) ).

fof(f52,plain,
    ! [X84,X85] :
      ( ~ c2_1(X85)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | c0_1(X84)
      | ~ c0_1(X85)
      | c3_1(X84)
      | c1_1(X85)
      | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_2
    | spl0_57
    | spl0_55
    | spl0_45 ),
    inference(avatar_split_clause,[],[f33,f401,f446,f455,f220]) ).

fof(f33,plain,
    ! [X90,X91,X92] :
      ( ~ c3_1(X91)
      | c3_1(X92)
      | ~ c1_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X92)
      | c1_1(X91)
      | ~ c3_1(X90)
      | ~ c0_1(X92)
      | c2_1(X91)
      | c0_1(X90) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f946,plain,
    ( ~ spl0_5
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f161,f943,f231]) ).

fof(f161,plain,
    ( ~ c3_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f941,plain,
    ( ~ spl0_12
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f116,f938,f260]) ).

fof(f260,plain,
    ( spl0_12
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f116,plain,
    ( ~ c1_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( ~ spl0_16
    | spl0_145 ),
    inference(avatar_split_clause,[],[f191,f933,f275]) ).

fof(f275,plain,
    ( spl0_16
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f191,plain,
    ( c1_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f924,plain,
    ( spl0_143
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f95,f302,f921]) ).

fof(f95,plain,
    ( ~ hskp14
    | c3_1(a375) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_142
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f198,f333,f916]) ).

fof(f333,plain,
    ( spl0_29
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f198,plain,
    ( ~ hskp3
    | ~ c0_1(a357) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_35
    | spl0_141 ),
    inference(avatar_split_clause,[],[f103,f911,f358]) ).

fof(f103,plain,
    ( c0_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_2
    | spl0_98
    | spl0_68 ),
    inference(avatar_split_clause,[],[f20,f506,f655,f220]) ).

fof(f20,plain,
    ! [X105] :
      ( c0_1(X105)
      | hskp0
      | ~ ndr1_0
      | ~ c3_1(X105)
      | ~ c2_1(X105) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f902,plain,
    ( ~ spl0_21
    | spl0_139 ),
    inference(avatar_split_clause,[],[f170,f899,f297]) ).

fof(f297,plain,
    ( spl0_21
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f170,plain,
    ( c2_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_98
    | spl0_136 ),
    inference(avatar_split_clause,[],[f136,f877,f655]) ).

fof(f136,plain,
    ( c1_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_98
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f135,f871,f655]) ).

fof(f135,plain,
    ( ~ c2_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_134
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f83,f378,f864]) ).

fof(f83,plain,
    ( ~ hskp10
    | ~ c3_1(a366) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( spl0_38
    | ~ spl0_2
    | spl0_3
    | spl0_61 ),
    inference(avatar_split_clause,[],[f48,f472,f224,f220,f371]) ).

fof(f48,plain,
    ! [X40,X41,X42] :
      ( ~ c1_1(X42)
      | c2_1(X41)
      | c2_1(X42)
      | ~ c0_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | c0_1(X40)
      | c3_1(X42)
      | c3_1(X40)
      | c1_1(X40) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( spl0_29
    | ~ spl0_2
    | spl0_13
    | spl0_80 ),
    inference(avatar_split_clause,[],[f15,f569,f264,f220,f333]) ).

fof(f15,plain,
    ! [X99] :
      ( hskp19
      | ~ c0_1(X99)
      | ~ ndr1_0
      | c1_1(X99)
      | c3_1(X99)
      | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_132
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f115,f260,f850]) ).

fof(f115,plain,
    ( ~ hskp16
    | ~ c3_1(a379) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_131
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f148,f569,f845]) ).

fof(f148,plain,
    ( ~ hskp19
    | ~ c2_1(a387) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_2
    | spl0_68
    | spl0_61
    | spl0_40 ),
    inference(avatar_split_clause,[],[f46,f378,f472,f506,f220]) ).

fof(f46,plain,
    ! [X73,X74] :
      ( hskp10
      | c2_1(X73)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X74)
      | ~ c1_1(X73)
      | c0_1(X74)
      | c3_1(X73) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( spl0_30
    | spl0_27
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f55,f227,f220,f324,f338]) ).

fof(f55,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | hskp4
      | c0_1(X53)
      | c3_1(X52)
      | c2_1(X53)
      | ~ c1_1(X53) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f824,plain,
    ( spl0_43
    | spl0_77
    | spl0_57
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f45,f220,f455,f553,f392]) ).

fof(f392,plain,
    ( spl0_43
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f45,plain,
    ! [X11,X12] :
      ( ~ ndr1_0
      | ~ c3_1(X12)
      | c1_1(X11)
      | c3_1(X11)
      | c0_1(X12)
      | hskp20
      | c2_1(X11)
      | ~ c1_1(X12) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_29
    | spl0_127 ),
    inference(avatar_split_clause,[],[f195,f818,f333]) ).

fof(f195,plain,
    ( c1_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_24
    | spl0_126 ),
    inference(avatar_split_clause,[],[f121,f812,f311]) ).

fof(f311,plain,
    ( spl0_24
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f121,plain,
    ( c1_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( spl0_44
    | spl0_55
    | spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f8,f220,f235,f446,f397]) ).

fof(f8,plain,
    ! [X8,X7] :
      ( ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c0_1(X8)
      | ~ c2_1(X7)
      | c3_1(X8)
      | ~ c1_1(X7)
      | ~ c2_1(X8)
      | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( spl0_27
    | spl0_29
    | ~ spl0_2
    | spl0_37 ),
    inference(avatar_split_clause,[],[f38,f368,f220,f333,f324]) ).

fof(f38,plain,
    ! [X58] :
      ( c1_1(X58)
      | ~ ndr1_0
      | c0_1(X58)
      | hskp3
      | hskp4
      | c2_1(X58) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( spl0_124
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f106,f358,f799]) ).

fof(f106,plain,
    ( ~ hskp17
    | c1_1(a380) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( spl0_123
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f127,f346,f794]) ).

fof(f127,plain,
    ( ~ hskp8
    | c1_1(a363) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( spl0_24
    | spl0_27
    | ~ spl0_2
    | spl0_68 ),
    inference(avatar_split_clause,[],[f49,f506,f220,f324,f311]) ).

fof(f49,plain,
    ! [X102] :
      ( ~ c2_1(X102)
      | c0_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp4
      | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_67
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f199,f787,f501]) ).

fof(f501,plain,
    ( spl0_67
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f199,plain,
    ( ~ c2_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_2
    | spl0_29
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f31,f264,f227,f333,f220]) ).

fof(f31,plain,
    ! [X76,X75] :
      ( c1_1(X75)
      | c0_1(X76)
      | c3_1(X75)
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X75)
      | c3_1(X76)
      | ~ c1_1(X76) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( spl0_119
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f189,f526,f770]) ).

fof(f189,plain,
    ( ~ hskp28
    | c1_1(a365) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_21
    | spl0_115 ),
    inference(avatar_split_clause,[],[f169,f748,f297]) ).

fof(f169,plain,
    ( c1_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f737,plain,
    ( ~ spl0_113
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f156,f713,f734]) ).

fof(f156,plain,
    ( ~ hskp5
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( spl0_112
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f173,f392,f729]) ).

fof(f173,plain,
    ( ~ hskp20
    | c1_1(a388) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( spl0_111
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f188,f526,f724]) ).

fof(f188,plain,
    ( ~ hskp28
    | c2_1(a365) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f157,f717,f713]) ).

fof(f157,plain,
    ( ~ c3_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( ~ spl0_34
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f125,f708,f354]) ).

fof(f125,plain,
    ( ~ c1_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_32
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f130,f687,f346]) ).

fof(f130,plain,
    ( ~ c3_1(a363)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_2
    | spl0_47
    | spl0_54 ),
    inference(avatar_split_clause,[],[f62,f443,f410,f220]) ).

fof(f62,plain,
    ! [X0] :
      ( c3_1(X0)
      | ~ c0_1(X0)
      | hskp26
      | ~ ndr1_0
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f684,plain,
    ( spl0_103
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f118,f260,f681]) ).

fof(f118,plain,
    ( ~ hskp16
    | c2_1(a379) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( ~ spl0_40
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f85,f675,f378]) ).

fof(f85,plain,
    ( ~ c0_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f673,plain,
    ( ~ spl0_101
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f120,f311,f670]) ).

fof(f120,plain,
    ( ~ hskp21
    | ~ c0_1(a395) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( spl0_100
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f123,f354,f665]) ).

fof(f123,plain,
    ( ~ hskp1
    | c3_1(a355) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_2
    | spl0_80
    | spl0_16
    | spl0_18 ),
    inference(avatar_split_clause,[],[f18,f285,f275,f569,f220]) ).

fof(f18,plain,
    ! [X106] :
      ( c1_1(X106)
      | hskp24
      | hskp19
      | ~ ndr1_0
      | ~ c3_1(X106)
      | ~ c2_1(X106) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f662,plain,
    ( ~ spl0_98
    | spl0_99 ),
    inference(avatar_split_clause,[],[f137,f659,f655]) ).

fof(f137,plain,
    ( c0_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( spl0_97
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f164,f342,f650]) ).

fof(f342,plain,
    ( spl0_31
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f164,plain,
    ( ~ hskp12
    | c3_1(a369) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f635,plain,
    ( ~ spl0_2
    | spl0_84
    | spl0_30
    | spl0_63 ),
    inference(avatar_split_clause,[],[f10,f481,f338,f588,f220]) ).

fof(f10,plain,
    ! [X68,X69,X67] :
      ( c2_1(X67)
      | ~ c1_1(X68)
      | c0_1(X68)
      | ~ c1_1(X67)
      | ~ c1_1(X69)
      | c0_1(X69)
      | ~ c3_1(X67)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | c2_1(X68) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_93
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f131,f397,f630]) ).

fof(f131,plain,
    ( ~ hskp6
    | ~ c3_1(a360) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f628,plain,
    ( ~ spl0_1
    | spl0_92 ),
    inference(avatar_split_clause,[],[f89,f625,f216]) ).

fof(f89,plain,
    ( c2_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_2
    | spl0_13
    | spl0_32
    | spl0_21 ),
    inference(avatar_split_clause,[],[f60,f297,f346,f264,f220]) ).

fof(f60,plain,
    ! [X18] :
      ( hskp29
      | hskp8
      | ~ c0_1(X18)
      | c3_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_89
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f134,f397,f610]) ).

fof(f134,plain,
    ( ~ hskp6
    | ~ c2_1(a360) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f598,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f166,f595,f342]) ).

fof(f166,plain,
    ( ~ c2_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f147,f573,f569]) ).

fof(f147,plain,
    ( ~ c0_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( spl0_35
    | spl0_57
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f42,f235,f220,f455,f358]) ).

fof(f42,plain,
    ! [X10,X9] :
      ( ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | c0_1(X10)
      | ~ c2_1(X9)
      | ~ c3_1(X10)
      | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( ~ spl0_67
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f200,f557,f501]) ).

fof(f200,plain,
    ( ~ c0_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f555,plain,
    ( ~ spl0_2
    | spl0_38
    | spl0_63
    | spl0_77 ),
    inference(avatar_split_clause,[],[f77,f553,f481,f371,f220]) ).

fof(f77,plain,
    ! [X62,X63,X61] :
      ( c2_1(X61)
      | c2_1(X62)
      | c1_1(X61)
      | ~ c3_1(X62)
      | c1_1(X63)
      | ~ c1_1(X62)
      | c3_1(X61)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( spl0_27
    | spl0_16
    | spl0_1 ),
    inference(avatar_split_clause,[],[f208,f216,f275,f324]) ).

fof(f208,plain,
    ( hskp11
    | hskp24
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( ~ spl0_76
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f184,f324,f547]) ).

fof(f184,plain,
    ( ~ hskp4
    | ~ c0_1(a358) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f545,plain,
    ( ~ spl0_27
    | spl0_75 ),
    inference(avatar_split_clause,[],[f183,f542,f324]) ).

fof(f183,plain,
    ( c2_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f540,plain,
    ( spl0_74
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f154,f429,f537]) ).

fof(f154,plain,
    ( ~ hskp2
    | c0_1(a356) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( ~ spl0_2
    | spl0_39
    | spl0_32
    | spl0_63 ),
    inference(avatar_split_clause,[],[f59,f481,f346,f374,f220]) ).

fof(f59,plain,
    ! [X26,X25] :
      ( c2_1(X25)
      | hskp8
      | c0_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | ~ c3_1(X25) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( spl0_71
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f163,f342,f521]) ).

fof(f163,plain,
    ( ~ hskp12
    | c0_1(a369) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f160,f231,f220]) ).

fof(f160,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_22
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f98,f515,f302]) ).

fof(f98,plain,
    ( ~ c0_1(a375)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( ~ spl0_51
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f152,f510,f429]) ).

fof(f152,plain,
    ( ~ c1_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( spl0_44
    | spl0_24
    | spl0_67 ),
    inference(avatar_split_clause,[],[f213,f501,f311,f397]) ).

fof(f213,plain,
    ( hskp18
    | hskp21
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( ~ spl0_34
    | spl0_66 ),
    inference(avatar_split_clause,[],[f124,f493,f354]) ).

fof(f124,plain,
    ( c0_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( ~ spl0_47
    | spl0_65 ),
    inference(avatar_split_clause,[],[f114,f488,f410]) ).

fof(f114,plain,
    ( c0_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_63
    | spl0_64
    | spl0_61
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f63,f220,f472,f484,f481]) ).

fof(f63,plain,
    ! [X50,X51,X49] :
      ( ~ ndr1_0
      | c2_1(X51)
      | ~ c0_1(X50)
      | ~ c1_1(X49)
      | c2_1(X50)
      | c2_1(X49)
      | c3_1(X51)
      | ~ c1_1(X51)
      | ~ c1_1(X50)
      | ~ c3_1(X49) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( ~ spl0_62
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f186,f324,f476]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c3_1(a358) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_31
    | ~ spl0_2
    | spl0_7
    | spl0_61 ),
    inference(avatar_split_clause,[],[f43,f472,f238,f220,f342]) ).

fof(f43,plain,
    ! [X2,X1] :
      ( c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | c3_1(X2)
      | c2_1(X1)
      | c2_1(X2)
      | hskp12
      | ~ c1_1(X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_44
    | spl0_27 ),
    inference(avatar_split_clause,[],[f212,f324,f397]) ).

fof(f212,plain,
    ( hskp4
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( ~ spl0_51
    | spl0_52 ),
    inference(avatar_split_clause,[],[f153,f433,f429]) ).

fof(f153,plain,
    ( c2_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f167,f424,f297]) ).

fof(f167,plain,
    ( c0_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( ~ spl0_16
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f192,f419,f275]) ).

fof(f192,plain,
    ( ~ c0_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f113,f414,f410]) ).

fof(f113,plain,
    ( ~ c2_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( ~ spl0_43
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f171,f405,f392]) ).

fof(f171,plain,
    ( ~ c3_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_2
    | spl0_44
    | spl0_45
    | spl0_16 ),
    inference(avatar_split_clause,[],[f25,f275,f401,f397,f220]) ).

fof(f25,plain,
    ! [X45] :
      ( hskp24
      | ~ c3_1(X45)
      | c1_1(X45)
      | hskp6
      | c2_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f395,plain,
    ( ~ spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f174,f392,f388]) ).

fof(f174,plain,
    ( ~ hskp20
    | ~ c2_1(a388) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_2
    | spl0_39 ),
    inference(avatar_split_clause,[],[f21,f374,f220,f371,f368]) ).

fof(f21,plain,
    ! [X72,X70,X71] :
      ( c1_1(X70)
      | ~ ndr1_0
      | c0_1(X70)
      | c3_1(X72)
      | c1_1(X72)
      | ~ c2_1(X70)
      | c2_1(X71)
      | c0_1(X71)
      | c0_1(X72)
      | c1_1(X71) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( spl0_36
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f159,f231,f363]) ).

fof(f159,plain,
    ( ~ hskp13
    | c0_1(a370) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f361,plain,
    ( spl0_34
    | spl0_1
    | spl0_35 ),
    inference(avatar_split_clause,[],[f211,f358,f216,f354]) ).

fof(f211,plain,
    ( hskp17
    | hskp11
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f336,plain,
    ( spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f197,f333,f329]) ).

fof(f197,plain,
    ( ~ hskp3
    | c3_1(a357) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( spl0_5
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f207,f324,f320,f231]) ).

fof(f207,plain,
    ( hskp4
    | hskp27
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f318,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f119,f315,f311]) ).

fof(f119,plain,
    ( ~ c2_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f309,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f96,f306,f302]) ).

fof(f96,plain,
    ( ~ c1_1(a375)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f283,plain,
    ( spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f88,f216,f280]) ).

fof(f88,plain,
    ( ~ hskp11
    | c3_1(a368) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f278,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f194,f275,f271]) ).

fof(f194,plain,
    ( ~ hskp24
    | ~ c3_1(a399) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f269,plain,
    ( ~ spl0_2
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f17,f267,f264,f260,f220]) ).

fof(f17,plain,
    ! [X54,X55] :
      ( ~ c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X54)
      | ~ c2_1(X55)
      | c1_1(X54)
      | hskp16
      | ~ ndr1_0
      | c3_1(X54) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f240,plain,
    ( spl0_5
    | ~ spl0_2
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f50,f238,f235,f220,f231]) ).

fof(f50,plain,
    ! [X94,X95] :
      ( c2_1(X95)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X94)
      | c3_1(X95)
      | ~ c1_1(X94)
      | c0_1(X95)
      | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f229,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f78,f227,f224,f220,f216]) ).

fof(f78,plain,
    ! [X24,X23] :
      ( c3_1(X24)
      | ~ c0_1(X23)
      | c0_1(X24)
      | ~ ndr1_0
      | c1_1(X23)
      | c2_1(X23)
      | ~ c1_1(X24)
      | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN504+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:46:16 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (19901)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (19912)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (19904)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (19917)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51  % (19896)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (19909)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (19903)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  Detected maximum model sizes of [32]
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (19890)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (19891)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (19895)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (19893)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (19892)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (19894)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (19902)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (19906)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (19908)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (19907)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (19919)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55  % (19914)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (19918)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (19900)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (19899)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (19911)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (19898)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (19916)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (19898)Instruction limit reached!
% 0.20/0.55  % (19898)------------------------------
% 0.20/0.55  % (19898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (19898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (19898)Termination reason: Unknown
% 0.20/0.55  % (19898)Termination phase: Unused predicate definition removal
% 0.20/0.55  
% 0.20/0.55  % (19898)Memory used [KB]: 1151
% 0.20/0.55  % (19898)Time elapsed: 0.002 s
% 0.20/0.55  % (19898)Instructions burned: 3 (million)
% 0.20/0.55  % (19898)------------------------------
% 0.20/0.55  % (19898)------------------------------
% 0.20/0.55  % (19915)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (19910)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56  % (19905)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.49/0.57  % (19901)First to succeed.
% 1.49/0.57  % (19896)Instruction limit reached!
% 1.49/0.57  % (19896)------------------------------
% 1.49/0.57  % (19896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57  % (19896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57  % (19896)Termination reason: Unknown
% 1.49/0.57  % (19896)Termination phase: Finite model building SAT solving
% 1.49/0.57  
% 1.49/0.57  % (19896)Memory used [KB]: 6524
% 1.49/0.57  % (19896)Time elapsed: 0.110 s
% 1.49/0.57  % (19896)Instructions burned: 52 (million)
% 1.49/0.57  % (19896)------------------------------
% 1.49/0.57  % (19896)------------------------------
% 1.49/0.57  % (19897)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.57  % (19897)Instruction limit reached!
% 1.49/0.57  % (19897)------------------------------
% 1.49/0.57  % (19897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57  % (19897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57  % (19897)Termination reason: Unknown
% 1.49/0.57  % (19897)Termination phase: Saturation
% 1.49/0.57  
% 1.49/0.57  % (19897)Memory used [KB]: 6012
% 1.49/0.57  % (19897)Time elapsed: 0.004 s
% 1.49/0.57  % (19897)Instructions burned: 7 (million)
% 1.49/0.57  % (19897)------------------------------
% 1.49/0.57  % (19897)------------------------------
% 1.49/0.57  % (19913)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.81/0.59  % (19892)Instruction limit reached!
% 1.81/0.59  % (19892)------------------------------
% 1.81/0.59  % (19892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59  % (19892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59  % (19892)Termination reason: Unknown
% 1.81/0.59  % (19892)Termination phase: Saturation
% 1.81/0.59  
% 1.81/0.59  % (19892)Memory used [KB]: 1663
% 1.81/0.59  % (19892)Time elapsed: 0.187 s
% 1.81/0.59  % (19892)Instructions burned: 37 (million)
% 1.81/0.59  % (19892)------------------------------
% 1.81/0.59  % (19892)------------------------------
% 1.81/0.59  Detected maximum model sizes of [32]
% 1.81/0.59  TRYING [1]
% 1.81/0.59  % (19904)Instruction limit reached!
% 1.81/0.59  % (19904)------------------------------
% 1.81/0.59  % (19904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60  TRYING [2]
% 1.81/0.60  Detected maximum model sizes of [32]
% 1.81/0.60  % (19904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60  TRYING [1]
% 1.81/0.60  % (19904)Termination reason: Unknown
% 1.81/0.60  % (19904)Termination phase: Saturation
% 1.81/0.60  
% 1.81/0.60  % (19904)Memory used [KB]: 6652
% 1.81/0.60  % (19904)Time elapsed: 0.067 s
% 1.81/0.60  % (19904)Instructions burned: 68 (million)
% 1.81/0.60  % (19904)------------------------------
% 1.81/0.60  % (19904)------------------------------
% 1.81/0.60  TRYING [2]
% 1.81/0.60  TRYING [3]
% 1.81/0.60  TRYING [3]
% 1.81/0.61  % (19901)Refutation found. Thanks to Tanya!
% 1.81/0.61  % SZS status Theorem for theBenchmark
% 1.81/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.61  % (19901)------------------------------
% 1.81/0.61  % (19901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61  % (19901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61  % (19901)Termination reason: Refutation
% 1.81/0.61  
% 1.81/0.61  % (19901)Memory used [KB]: 7291
% 1.81/0.61  % (19901)Time elapsed: 0.164 s
% 1.81/0.61  % (19901)Instructions burned: 41 (million)
% 1.81/0.61  % (19901)------------------------------
% 1.81/0.61  % (19901)------------------------------
% 1.81/0.61  % (19889)Success in time 0.253 s
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