TSTP Solution File: SYN443+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN443+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 May  1 04:34:36 EDT 2024

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  102
% Syntax   : Number of formulae    :  422 (   1 unt;   0 def)
%            Number of atoms       : 4885 (   0 equ)
%            Maximal formula atoms :  588 (  11 avg)
%            Number of connectives : 6531 (2068   ~;2924   |;1098   &)
%                                         ( 101 <=>; 340  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  138 ( 137 usr; 134 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  615 ( 615   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1811,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f258,f259,f282,f291,f296,f310,f314,f337,f346,f354,f374,f394,f400,f422,f423,f431,f444,f463,f467,f468,f469,f504,f509,f514,f520,f525,f530,f536,f541,f546,f547,f552,f557,f562,f584,f589,f594,f600,f605,f610,f632,f637,f642,f696,f701,f706,f712,f717,f722,f744,f749,f754,f840,f845,f850,f851,f872,f877,f882,f888,f893,f898,f904,f909,f914,f952,f957,f962,f968,f973,f978,f979,f984,f989,f994,f1005,f1006,f1011,f1026,f1027,f1031,f1032,f1066,f1084,f1100,f1116,f1117,f1124,f1135,f1137,f1147,f1187,f1270,f1293,f1355,f1379,f1405,f1411,f1412,f1418,f1428,f1433,f1435,f1445,f1462,f1479,f1481,f1500,f1501,f1534,f1535,f1551,f1602,f1603,f1607,f1608,f1654,f1677,f1681,f1697,f1724,f1727,f1729,f1808]) ).

fof(f1808,plain,
    ( spl0_127
    | spl0_175
    | ~ spl0_52
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1800,f847,f442,f1430,f837]) ).

fof(f837,plain,
    ( spl0_127
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1430,plain,
    ( spl0_175
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f442,plain,
    ( spl0_52
  <=> ! [X53] :
        ( ~ c1_1(X53)
        | c0_1(X53)
        | c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f847,plain,
    ( spl0_129
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1800,plain,
    ( c0_1(a12)
    | c3_1(a12)
    | ~ spl0_52
    | ~ spl0_129 ),
    inference(resolution,[],[f443,f849]) ).

fof(f849,plain,
    ( c1_1(a12)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f443,plain,
    ( ! [X53] :
        ( ~ c1_1(X53)
        | c0_1(X53)
        | c3_1(X53) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1729,plain,
    ( ~ spl0_72
    | spl0_160
    | ~ spl0_25
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1728,f533,f324,f1023,f543]) ).

fof(f543,plain,
    ( spl0_72
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1023,plain,
    ( spl0_160
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f324,plain,
    ( spl0_25
  <=> ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f533,plain,
    ( spl0_70
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1728,plain,
    ( c2_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_25
    | ~ spl0_70 ),
    inference(resolution,[],[f535,f325]) ).

fof(f325,plain,
    ( ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f535,plain,
    ( c3_1(a15)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f1727,plain,
    ( ~ spl0_84
    | spl0_162
    | ~ spl0_25
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1709,f602,f324,f1062,f607]) ).

fof(f607,plain,
    ( spl0_84
  <=> c0_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1062,plain,
    ( spl0_162
  <=> c2_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f602,plain,
    ( spl0_83
  <=> c3_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1709,plain,
    ( c2_1(a58)
    | ~ c0_1(a58)
    | ~ spl0_25
    | ~ spl0_83 ),
    inference(resolution,[],[f325,f604]) ).

fof(f604,plain,
    ( c3_1(a58)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f1724,plain,
    ( ~ spl0_140
    | spl0_139
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1716,f911,f335,f901,f906]) ).

fof(f906,plain,
    ( spl0_140
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f901,plain,
    ( spl0_139
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f335,plain,
    ( spl0_28
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f911,plain,
    ( spl0_141
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1716,plain,
    ( c3_1(a6)
    | ~ c2_1(a6)
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(resolution,[],[f336,f913]) ).

fof(f913,plain,
    ( c0_1(a6)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f336,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c3_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f1697,plain,
    ( spl0_136
    | spl0_137
    | ~ spl0_27
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1688,f1415,f332,f890,f885]) ).

fof(f885,plain,
    ( spl0_136
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f890,plain,
    ( spl0_137
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f332,plain,
    ( spl0_27
  <=> ! [X7] :
        ( ~ c1_1(X7)
        | c2_1(X7)
        | c3_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1415,plain,
    ( spl0_174
  <=> c1_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1688,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ spl0_27
    | ~ spl0_174 ),
    inference(resolution,[],[f333,f1417]) ).

fof(f1417,plain,
    ( c1_1(a8)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f333,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | c2_1(X7)
        | c3_1(X7) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f1681,plain,
    ( ~ spl0_110
    | ~ spl0_111
    | ~ spl0_19
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1680,f1674,f301,f751,f746]) ).

fof(f746,plain,
    ( spl0_110
  <=> c1_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f751,plain,
    ( spl0_111
  <=> c0_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f301,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1674,plain,
    ( spl0_180
  <=> c3_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1680,plain,
    ( ~ c0_1(a27)
    | ~ c1_1(a27)
    | ~ spl0_19
    | ~ spl0_180 ),
    inference(resolution,[],[f1676,f302]) ).

fof(f302,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f1676,plain,
    ( c3_1(a27)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1674]) ).

fof(f1677,plain,
    ( spl0_180
    | spl0_109
    | ~ spl0_29
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1666,f751,f339,f741,f1674]) ).

fof(f741,plain,
    ( spl0_109
  <=> c2_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f339,plain,
    ( spl0_29
  <=> ! [X8] :
        ( ~ c0_1(X8)
        | c2_1(X8)
        | c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1666,plain,
    ( c2_1(a27)
    | c3_1(a27)
    | ~ spl0_29
    | ~ spl0_111 ),
    inference(resolution,[],[f340,f753]) ).

fof(f753,plain,
    ( c0_1(a27)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f340,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c2_1(X8)
        | c3_1(X8) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f1654,plain,
    ( ~ spl0_162
    | spl0_82
    | ~ spl0_36
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1643,f607,f369,f597,f1062]) ).

fof(f597,plain,
    ( spl0_82
  <=> c1_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f369,plain,
    ( spl0_36
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1643,plain,
    ( c1_1(a58)
    | ~ c2_1(a58)
    | ~ spl0_36
    | ~ spl0_84 ),
    inference(resolution,[],[f370,f609]) ).

fof(f609,plain,
    ( c0_1(a58)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f370,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1608,plain,
    ( ~ spl0_67
    | spl0_172
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1588,f527,f335,f1376,f517]) ).

fof(f517,plain,
    ( spl0_67
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1376,plain,
    ( spl0_172
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f527,plain,
    ( spl0_69
  <=> c0_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1588,plain,
    ( c3_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(resolution,[],[f336,f529]) ).

fof(f529,plain,
    ( c0_1(a25)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1607,plain,
    ( ~ spl0_75
    | ~ spl0_177
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1548,f549,f301,f1476,f559]) ).

fof(f559,plain,
    ( spl0_75
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1476,plain,
    ( spl0_177
  <=> c0_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f549,plain,
    ( spl0_73
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1548,plain,
    ( ~ c0_1(a10)
    | ~ c1_1(a10)
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(resolution,[],[f302,f551]) ).

fof(f551,plain,
    ( c3_1(a10)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f1603,plain,
    ( ~ spl0_129
    | spl0_127
    | ~ spl0_34
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1594,f1430,f361,f837,f847]) ).

fof(f361,plain,
    ( spl0_34
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1594,plain,
    ( c3_1(a12)
    | ~ c1_1(a12)
    | ~ spl0_34
    | ~ spl0_175 ),
    inference(resolution,[],[f362,f1432]) ).

fof(f1432,plain,
    ( c0_1(a12)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1430]) ).

fof(f362,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15)
        | ~ c1_1(X15) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f1602,plain,
    ( ~ spl0_174
    | spl0_136
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1593,f895,f361,f885,f1415]) ).

fof(f895,plain,
    ( spl0_138
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1593,plain,
    ( c3_1(a8)
    | ~ c1_1(a8)
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(resolution,[],[f362,f897]) ).

fof(f897,plain,
    ( c0_1(a8)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f1551,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_19
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1549,f1376,f301,f527,f522]) ).

fof(f522,plain,
    ( spl0_68
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1549,plain,
    ( ~ c0_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_19
    | ~ spl0_172 ),
    inference(resolution,[],[f302,f1378]) ).

fof(f1378,plain,
    ( c3_1(a25)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f1535,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_29
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1524,f1430,f339,f842,f837]) ).

fof(f842,plain,
    ( spl0_128
  <=> c2_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1524,plain,
    ( c2_1(a12)
    | c3_1(a12)
    | ~ spl0_29
    | ~ spl0_175 ),
    inference(resolution,[],[f340,f1432]) ).

fof(f1534,plain,
    ( spl0_136
    | spl0_137
    | ~ spl0_29
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1523,f895,f339,f890,f885]) ).

fof(f1523,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ spl0_29
    | ~ spl0_138 ),
    inference(resolution,[],[f340,f897]) ).

fof(f1501,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1496,f527,f298,f517,f522]) ).

fof(f298,plain,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1496,plain,
    ( ~ c2_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(resolution,[],[f299,f529]) ).

fof(f299,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f1500,plain,
    ( ~ spl0_75
    | ~ spl0_74
    | ~ spl0_18
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1494,f1476,f298,f554,f559]) ).

fof(f554,plain,
    ( spl0_74
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1494,plain,
    ( ~ c2_1(a10)
    | ~ c1_1(a10)
    | ~ spl0_18
    | ~ spl0_177 ),
    inference(resolution,[],[f299,f1478]) ).

fof(f1478,plain,
    ( c0_1(a10)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1476]) ).

fof(f1481,plain,
    ( ~ spl0_74
    | ~ spl0_75
    | ~ spl0_21
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1473,f549,f308,f559,f554]) ).

fof(f308,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1473,plain,
    ( ~ c1_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_21
    | ~ spl0_73 ),
    inference(resolution,[],[f551,f309]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f1479,plain,
    ( ~ spl0_74
    | spl0_177
    | ~ spl0_47
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1471,f549,f419,f1476,f554]) ).

fof(f419,plain,
    ( spl0_47
  <=> ! [X39] :
        ( ~ c3_1(X39)
        | c0_1(X39)
        | ~ c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1471,plain,
    ( c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_47
    | ~ spl0_73 ),
    inference(resolution,[],[f551,f420]) ).

fof(f420,plain,
    ( ! [X39] :
        ( ~ c3_1(X39)
        | c0_1(X39)
        | ~ c2_1(X39) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f1462,plain,
    ( ~ spl0_155
    | spl0_170
    | ~ spl0_22
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1453,f991,f312,f1312,f986]) ).

fof(f986,plain,
    ( spl0_155
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1312,plain,
    ( spl0_170
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f312,plain,
    ( spl0_22
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f991,plain,
    ( spl0_156
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1453,plain,
    ( c3_1(a1)
    | ~ c2_1(a1)
    | ~ spl0_22
    | ~ spl0_156 ),
    inference(resolution,[],[f313,f993]) ).

fof(f993,plain,
    ( c1_1(a1)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f313,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f1445,plain,
    ( ~ spl0_157
    | spl0_79
    | ~ spl0_25
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1300,f586,f324,f581,f1002]) ).

fof(f1002,plain,
    ( spl0_157
  <=> c0_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f581,plain,
    ( spl0_79
  <=> c2_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f586,plain,
    ( spl0_80
  <=> c3_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1300,plain,
    ( c2_1(a64)
    | ~ c0_1(a64)
    | ~ spl0_25
    | ~ spl0_80 ),
    inference(resolution,[],[f325,f588]) ).

fof(f588,plain,
    ( c3_1(a64)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1435,plain,
    ( spl0_79
    | spl0_157
    | ~ spl0_57
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1426,f591,f465,f1002,f581]) ).

fof(f465,plain,
    ( spl0_57
  <=> ! [X60] :
        ( ~ c1_1(X60)
        | c0_1(X60)
        | c2_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f591,plain,
    ( spl0_81
  <=> c1_1(a64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1426,plain,
    ( c0_1(a64)
    | c2_1(a64)
    | ~ spl0_57
    | ~ spl0_81 ),
    inference(resolution,[],[f466,f593]) ).

fof(f593,plain,
    ( c1_1(a64)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f466,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c0_1(X60)
        | c2_1(X60) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f1433,plain,
    ( spl0_128
    | spl0_175
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1423,f847,f465,f1430,f842]) ).

fof(f1423,plain,
    ( c0_1(a12)
    | c2_1(a12)
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(resolution,[],[f466,f849]) ).

fof(f1428,plain,
    ( spl0_133
    | spl0_134
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1422,f879,f465,f874,f869]) ).

fof(f869,plain,
    ( spl0_133
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f874,plain,
    ( spl0_134
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f879,plain,
    ( spl0_135
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1422,plain,
    ( c0_1(a9)
    | c2_1(a9)
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(resolution,[],[f466,f881]) ).

fof(f881,plain,
    ( c1_1(a9)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f1418,plain,
    ( spl0_136
    | spl0_174
    | ~ spl0_39
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1413,f895,f381,f1415,f885]) ).

fof(f381,plain,
    ( spl0_39
  <=> ! [X23] :
        ( ~ c0_1(X23)
        | c1_1(X23)
        | c3_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1413,plain,
    ( c1_1(a8)
    | c3_1(a8)
    | ~ spl0_39
    | ~ spl0_138 ),
    inference(resolution,[],[f897,f382]) ).

fof(f382,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | c1_1(X23)
        | c3_1(X23) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f1412,plain,
    ( spl0_79
    | ~ spl0_80
    | ~ spl0_53
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1404,f1002,f446,f586,f581]) ).

fof(f446,plain,
    ( spl0_53
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | c2_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1404,plain,
    ( ~ c3_1(a64)
    | c2_1(a64)
    | ~ spl0_53
    | spl0_157 ),
    inference(resolution,[],[f447,f1004]) ).

fof(f1004,plain,
    ( ~ c0_1(a64)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f447,plain,
    ( ! [X54] :
        ( c0_1(X54)
        | ~ c3_1(X54)
        | c2_1(X54) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1411,plain,
    ( spl0_103
    | ~ spl0_105
    | ~ spl0_53
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1403,f714,f446,f719,f709]) ).

fof(f709,plain,
    ( spl0_103
  <=> c2_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f719,plain,
    ( spl0_105
  <=> c3_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f714,plain,
    ( spl0_104
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1403,plain,
    ( ~ c3_1(a32)
    | c2_1(a32)
    | ~ spl0_53
    | spl0_104 ),
    inference(resolution,[],[f447,f716]) ).

fof(f716,plain,
    ( ~ c0_1(a32)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f1405,plain,
    ( spl0_133
    | ~ spl0_164
    | ~ spl0_53
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1399,f874,f446,f1113,f869]) ).

fof(f1113,plain,
    ( spl0_164
  <=> c3_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1399,plain,
    ( ~ c3_1(a9)
    | c2_1(a9)
    | ~ spl0_53
    | spl0_134 ),
    inference(resolution,[],[f447,f876]) ).

fof(f876,plain,
    ( ~ c0_1(a9)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f1379,plain,
    ( ~ spl0_68
    | spl0_172
    | ~ spl0_34
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1371,f527,f361,f1376,f522]) ).

fof(f1371,plain,
    ( c3_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_34
    | ~ spl0_69 ),
    inference(resolution,[],[f362,f529]) ).

fof(f1355,plain,
    ( ~ spl0_155
    | spl0_154
    | ~ spl0_47
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1351,f1312,f419,f981,f986]) ).

fof(f981,plain,
    ( spl0_154
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1351,plain,
    ( c0_1(a1)
    | ~ c2_1(a1)
    | ~ spl0_47
    | ~ spl0_170 ),
    inference(resolution,[],[f1314,f420]) ).

fof(f1314,plain,
    ( c3_1(a1)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1293,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1281,f639,f429,f634,f629]) ).

fof(f629,plain,
    ( spl0_88
  <=> c3_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f634,plain,
    ( spl0_89
  <=> c1_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f429,plain,
    ( spl0_49
  <=> ! [X47] :
        ( ~ c2_1(X47)
        | c1_1(X47)
        | c3_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f639,plain,
    ( spl0_90
  <=> c2_1(a43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1281,plain,
    ( c1_1(a43)
    | c3_1(a43)
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(resolution,[],[f430,f641]) ).

fof(f641,plain,
    ( c2_1(a43)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f430,plain,
    ( ! [X47] :
        ( ~ c2_1(X47)
        | c1_1(X47)
        | c3_1(X47) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1270,plain,
    ( ~ spl0_156
    | spl0_154
    | ~ spl0_48
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1259,f986,f425,f981,f991]) ).

fof(f425,plain,
    ( spl0_48
  <=> ! [X45] :
        ( ~ c2_1(X45)
        | c0_1(X45)
        | ~ c1_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1259,plain,
    ( c0_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_48
    | ~ spl0_155 ),
    inference(resolution,[],[f426,f988]) ).

fof(f988,plain,
    ( c2_1(a1)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f426,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | c0_1(X45)
        | ~ c1_1(X45) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1187,plain,
    ( ~ spl0_65
    | spl0_158
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1186,f511,f369,f1008,f506]) ).

fof(f506,plain,
    ( spl0_65
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1008,plain,
    ( spl0_158
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f511,plain,
    ( spl0_66
  <=> c0_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1186,plain,
    ( c1_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_36
    | ~ spl0_66 ),
    inference(resolution,[],[f370,f513]) ).

fof(f513,plain,
    ( c0_1(a33)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1147,plain,
    ( ~ spl0_165
    | ~ spl0_153
    | ~ spl0_19
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1141,f970,f301,f975,f1121]) ).

fof(f1121,plain,
    ( spl0_165
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f975,plain,
    ( spl0_153
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f970,plain,
    ( spl0_152
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1141,plain,
    ( ~ c0_1(a2)
    | ~ c1_1(a2)
    | ~ spl0_19
    | ~ spl0_152 ),
    inference(resolution,[],[f302,f972]) ).

fof(f972,plain,
    ( c3_1(a2)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f1137,plain,
    ( ~ spl0_71
    | spl0_160
    | ~ spl0_37
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1134,f543,f372,f1023,f538]) ).

fof(f538,plain,
    ( spl0_71
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f372,plain,
    ( spl0_37
  <=> ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1134,plain,
    ( c2_1(a15)
    | ~ c1_1(a15)
    | ~ spl0_37
    | ~ spl0_72 ),
    inference(resolution,[],[f373,f545]) ).

fof(f545,plain,
    ( c0_1(a15)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f373,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | ~ c1_1(X18) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1135,plain,
    ( ~ spl0_165
    | spl0_151
    | ~ spl0_37
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1131,f975,f372,f965,f1121]) ).

fof(f965,plain,
    ( spl0_151
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1131,plain,
    ( c2_1(a2)
    | ~ c1_1(a2)
    | ~ spl0_37
    | ~ spl0_153 ),
    inference(resolution,[],[f373,f977]) ).

fof(f977,plain,
    ( c0_1(a2)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f1124,plain,
    ( spl0_151
    | spl0_165
    | ~ spl0_42
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1118,f970,f392,f1121,f965]) ).

fof(f392,plain,
    ( spl0_42
  <=> ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | c2_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1118,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ spl0_42
    | ~ spl0_152 ),
    inference(resolution,[],[f972,f393]) ).

fof(f393,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | c2_1(X25) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1117,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_27
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1106,f847,f332,f842,f837]) ).

fof(f1106,plain,
    ( c2_1(a12)
    | c3_1(a12)
    | ~ spl0_27
    | ~ spl0_129 ),
    inference(resolution,[],[f333,f849]) ).

fof(f1116,plain,
    ( spl0_164
    | spl0_133
    | ~ spl0_27
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1105,f879,f332,f869,f1113]) ).

fof(f1105,plain,
    ( c2_1(a9)
    | c3_1(a9)
    | ~ spl0_27
    | ~ spl0_135 ),
    inference(resolution,[],[f333,f881]) ).

fof(f1100,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_36
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1090,f959,f369,f949,f954]) ).

fof(f954,plain,
    ( spl0_149
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f949,plain,
    ( spl0_148
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f959,plain,
    ( spl0_150
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1090,plain,
    ( c1_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_36
    | ~ spl0_150 ),
    inference(resolution,[],[f961,f370]) ).

fof(f961,plain,
    ( c0_1(a3)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f1084,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_42
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1077,f703,f392,f698,f693]) ).

fof(f693,plain,
    ( spl0_100
  <=> c2_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f698,plain,
    ( spl0_101
  <=> c1_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f703,plain,
    ( spl0_102
  <=> c3_1(a34) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1077,plain,
    ( c1_1(a34)
    | c2_1(a34)
    | ~ spl0_42
    | ~ spl0_102 ),
    inference(resolution,[],[f393,f705]) ).

fof(f705,plain,
    ( c3_1(a34)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f1066,plain,
    ( ~ spl0_65
    | spl0_158
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1060,f501,f348,f1008,f506]) ).

fof(f348,plain,
    ( spl0_31
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c1_1(X11)
        | ~ c2_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f501,plain,
    ( spl0_64
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1060,plain,
    ( c1_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_31
    | ~ spl0_64 ),
    inference(resolution,[],[f349,f503]) ).

fof(f503,plain,
    ( c3_1(a33)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f349,plain,
    ( ! [X11] :
        ( ~ c3_1(X11)
        | c1_1(X11)
        | ~ c2_1(X11) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1032,plain,
    ( ~ spl0_71
    | ~ spl0_160
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1029,f543,f298,f1023,f538]) ).

fof(f1029,plain,
    ( ~ c2_1(a15)
    | ~ c1_1(a15)
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(resolution,[],[f299,f545]) ).

fof(f1031,plain,
    ( ~ spl0_158
    | ~ spl0_65
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1028,f511,f298,f506,f1008]) ).

fof(f1028,plain,
    ( ~ c2_1(a33)
    | ~ c1_1(a33)
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(resolution,[],[f299,f513]) ).

fof(f1027,plain,
    ( ~ spl0_65
    | ~ spl0_158
    | ~ spl0_21
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1016,f501,f308,f1008,f506]) ).

fof(f1016,plain,
    ( ~ c1_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_21
    | ~ spl0_64 ),
    inference(resolution,[],[f309,f503]) ).

fof(f1026,plain,
    ( ~ spl0_160
    | ~ spl0_71
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1015,f533,f308,f538,f1023]) ).

fof(f1015,plain,
    ( ~ c1_1(a15)
    | ~ c2_1(a15)
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(resolution,[],[f309,f535]) ).

fof(f1011,plain,
    ( ~ spl0_158
    | ~ spl0_66
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1000,f501,f301,f511,f1008]) ).

fof(f1000,plain,
    ( ~ c0_1(a33)
    | ~ c1_1(a33)
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(resolution,[],[f302,f503]) ).

fof(f1006,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_19
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f999,f533,f301,f543,f538]) ).

fof(f999,plain,
    ( ~ c0_1(a15)
    | ~ c1_1(a15)
    | ~ spl0_19
    | ~ spl0_70 ),
    inference(resolution,[],[f302,f535]) ).

fof(f1005,plain,
    ( ~ spl0_81
    | ~ spl0_157
    | ~ spl0_19
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f998,f586,f301,f1002,f591]) ).

fof(f998,plain,
    ( ~ c0_1(a64)
    | ~ c1_1(a64)
    | ~ spl0_19
    | ~ spl0_80 ),
    inference(resolution,[],[f302,f588]) ).

fof(f994,plain,
    ( ~ spl0_32
    | spl0_156 ),
    inference(avatar_split_clause,[],[f8,f991,f351]) ).

fof(f351,plain,
    ( spl0_32
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f8,plain,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp18
      | hskp26
      | hskp7 )
    & ( hskp23
      | hskp24
      | hskp2 )
    & ( hskp17
      | hskp27
      | hskp30 )
    & ( hskp7
      | hskp27
      | hskp30 )
    & ( hskp18
      | hskp2
      | hskp30 )
    & ( hskp22
      | hskp11 )
    & ( hskp7
      | hskp20
      | hskp11 )
    & ( hskp25
      | hskp2
      | hskp15 )
    & ( hskp9
      | hskp7
      | hskp28 )
    & ( hskp9
      | hskp1
      | hskp28 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp27
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp18
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp22
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c1_1(X7)
          | c3_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp2
      | ! [X8] :
          ( ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp1
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp2
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp0
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp1
      | ! [X33] :
          ( ~ c0_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp1
      | ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp30
      | ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp9
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp15
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp29
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X50] :
          ( ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp11
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X58] :
          ( ~ c0_1(X58)
          | c3_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp9
      | ! [X66] :
          ( ~ c3_1(X66)
          | c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp27
      | ! [X67] :
          ( ~ c3_1(X67)
          | c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X68] :
          ( ~ c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp5
      | ! [X69] :
          ( ~ c2_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X70] :
          ( c3_1(X70)
          | c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c0_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a33)
        & c2_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a15)
        & c1_1(a15)
        & c0_1(a15)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a10)
        & c2_1(a10)
        & c1_1(a10)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a92)
        & ~ c0_1(a92)
        & c2_1(a92)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & c3_1(a58)
        & c0_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a52)
        & ~ c1_1(a52)
        & c0_1(a52)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a43)
        & ~ c1_1(a43)
        & c2_1(a43)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a42)
        & c3_1(a42)
        & c2_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a38)
        & c3_1(a38)
        & c1_1(a38)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a36)
        & ~ c2_1(a36)
        & ~ c1_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a34)
        & ~ c1_1(a34)
        & c3_1(a34)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a32)
        & ~ c0_1(a32)
        & c3_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a31)
        & ~ c0_1(a31)
        & c2_1(a31)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a27)
        & c1_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a26)
        & ~ c1_1(a26)
        & ~ c0_1(a26)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a22)
        & ~ c2_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a21)
        & ~ c1_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & c1_1(a19)
        & c0_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c1_1(a18)
        & ~ c0_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a12)
        & ~ c2_1(a12)
        & c1_1(a12)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a11)
        & c2_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a9)
        & ~ c0_1(a9)
        & c1_1(a9)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c0_1(a8)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a6)
        & c2_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a5)
        & c3_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a4)
        & ~ c0_1(a4)
        & c3_1(a4)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a3)
        & c2_1(a3)
        & c0_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & c3_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp18
      | hskp26
      | hskp7 )
    & ( hskp23
      | hskp24
      | hskp2 )
    & ( hskp17
      | hskp27
      | hskp30 )
    & ( hskp7
      | hskp27
      | hskp30 )
    & ( hskp18
      | hskp2
      | hskp30 )
    & ( hskp22
      | hskp11 )
    & ( hskp7
      | hskp20
      | hskp11 )
    & ( hskp25
      | hskp2
      | hskp15 )
    & ( hskp9
      | hskp7
      | hskp28 )
    & ( hskp9
      | hskp1
      | hskp28 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp27
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp18
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp22
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c1_1(X7)
          | c3_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp2
      | ! [X8] :
          ( ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp1
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp2
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp0
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp1
      | ! [X33] :
          ( ~ c0_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp1
      | ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp30
      | ! [X36] :
          ( c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp9
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp15
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp29
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X50] :
          ( ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp11
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X58] :
          ( ~ c0_1(X58)
          | c3_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X60] :
          ( ~ c1_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp9
      | ! [X66] :
          ( ~ c3_1(X66)
          | c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp27
      | ! [X67] :
          ( ~ c3_1(X67)
          | c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X68] :
          ( ~ c3_1(X68)
          | c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp5
      | ! [X69] :
          ( ~ c2_1(X69)
          | c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X70] :
          ( c3_1(X70)
          | c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c0_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X80] :
          ( c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a33)
        & c2_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a15)
        & c1_1(a15)
        & c0_1(a15)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a10)
        & c2_1(a10)
        & c1_1(a10)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a92)
        & ~ c0_1(a92)
        & c2_1(a92)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & c3_1(a58)
        & c0_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a52)
        & ~ c1_1(a52)
        & c0_1(a52)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a43)
        & ~ c1_1(a43)
        & c2_1(a43)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a42)
        & c3_1(a42)
        & c2_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a38)
        & c3_1(a38)
        & c1_1(a38)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a36)
        & ~ c2_1(a36)
        & ~ c1_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a34)
        & ~ c1_1(a34)
        & c3_1(a34)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a32)
        & ~ c0_1(a32)
        & c3_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a31)
        & ~ c0_1(a31)
        & c2_1(a31)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a27)
        & c1_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a26)
        & ~ c1_1(a26)
        & ~ c0_1(a26)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a22)
        & ~ c2_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a21)
        & ~ c1_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & c1_1(a19)
        & c0_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c1_1(a18)
        & ~ c0_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a12)
        & ~ c2_1(a12)
        & c1_1(a12)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a11)
        & c2_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a9)
        & ~ c0_1(a9)
        & c1_1(a9)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c0_1(a8)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a6)
        & c2_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a5)
        & c3_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a4)
        & ~ c0_1(a4)
        & c3_1(a4)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a3)
        & c2_1(a3)
        & c0_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & c3_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp18
      | hskp26
      | hskp7 )
    & ( hskp23
      | hskp24
      | hskp2 )
    & ( hskp17
      | hskp27
      | hskp30 )
    & ( hskp7
      | hskp27
      | hskp30 )
    & ( hskp18
      | hskp2
      | hskp30 )
    & ( hskp22
      | hskp11 )
    & ( hskp7
      | hskp20
      | hskp11 )
    & ( hskp25
      | hskp2
      | hskp15 )
    & ( hskp9
      | hskp7
      | hskp28 )
    & ( hskp9
      | hskp1
      | hskp28 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp25
      | hskp27
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp14
      | hskp18
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp19
      | hskp22
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp24
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | c3_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp4
      | hskp2
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp22
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp0
      | hskp1
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | c1_1(X11) ) ) )
    & ( hskp23
      | hskp2
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | c1_1(X12) ) ) )
    & ( hskp19
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | ~ c1_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp16
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c0_1(X16)
            | c1_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp13
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp29
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp29
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | c2_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp5
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c2_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp0
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c0_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp22
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp21
      | hskp0
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp13
      | hskp1
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp20
      | hskp29
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp19
      | hskp1
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp18
      | hskp30
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp17
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp16
      | hskp9
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp5
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c0_1(X40)
            | c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp4
      | hskp15
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c0_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp14
      | hskp29
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp3
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp0
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | hskp12
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp6
      | hskp11
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c2_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp10
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp9
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c3_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp27
      | hskp28
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c2_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp6
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp3
      | hskp9
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp8
      | hskp27
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp7
      | hskp6
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp0
      | hskp5
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp4
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp3
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c1_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp2
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | c1_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp1
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c0_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp0
      | ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( ( c3_1(a33)
        & c2_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a15)
        & c1_1(a15)
        & c0_1(a15)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a10)
        & c2_1(a10)
        & c1_1(a10)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a92)
        & ~ c0_1(a92)
        & c2_1(a92)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & c3_1(a58)
        & c0_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a52)
        & ~ c1_1(a52)
        & c0_1(a52)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a43)
        & ~ c1_1(a43)
        & c2_1(a43)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a42)
        & c3_1(a42)
        & c2_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a38)
        & c3_1(a38)
        & c1_1(a38)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a36)
        & ~ c2_1(a36)
        & ~ c1_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a34)
        & ~ c1_1(a34)
        & c3_1(a34)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a32)
        & ~ c0_1(a32)
        & c3_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a31)
        & ~ c0_1(a31)
        & c2_1(a31)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a27)
        & c1_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a26)
        & ~ c1_1(a26)
        & ~ c0_1(a26)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a22)
        & ~ c2_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a21)
        & ~ c1_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & c1_1(a19)
        & c0_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c1_1(a18)
        & ~ c0_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a12)
        & ~ c2_1(a12)
        & c1_1(a12)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a11)
        & c2_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a9)
        & ~ c0_1(a9)
        & c1_1(a9)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c0_1(a8)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a6)
        & c2_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a5)
        & c3_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a4)
        & ~ c0_1(a4)
        & c3_1(a4)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a3)
        & c2_1(a3)
        & c0_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & c3_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp18
          | hskp26
          | hskp7 )
        & ( hskp23
          | hskp24
          | hskp2 )
        & ( hskp17
          | hskp27
          | hskp30 )
        & ( hskp7
          | hskp27
          | hskp30 )
        & ( hskp18
          | hskp2
          | hskp30 )
        & ( hskp22
          | hskp11 )
        & ( hskp7
          | hskp20
          | hskp11 )
        & ( hskp25
          | hskp2
          | hskp15 )
        & ( hskp9
          | hskp7
          | hskp28 )
        & ( hskp9
          | hskp1
          | hskp28 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp25
          | hskp27
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp14
          | hskp18
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp19
          | hskp22
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp24
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c3_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp4
          | hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp22
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp0
          | hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | c1_1(X11) ) ) )
        & ( hskp23
          | hskp2
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | c1_1(X12) ) ) )
        & ( hskp19
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp16
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp13
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp29
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp29
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp5
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp0
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c0_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp22
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp21
          | hskp0
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp13
          | hskp1
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp20
          | hskp29
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp19
          | hskp1
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp18
          | hskp30
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp17
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp16
          | hskp9
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp5
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c0_1(X40)
                | c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp4
          | hskp15
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp14
          | hskp29
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp3
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp0
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp6
          | hskp11
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp10
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp9
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp27
          | hskp28
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp6
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp3
          | hskp9
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp8
          | hskp27
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp7
          | hskp6
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp0
          | hskp5
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp4
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp2
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp1
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp0
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( ( c3_1(a33)
            & c2_1(a33)
            & c0_1(a33)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a15)
            & c1_1(a15)
            & c0_1(a15)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a10)
            & c2_1(a10)
            & c1_1(a10)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a92)
            & ~ c0_1(a92)
            & c2_1(a92)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a64)
            & c3_1(a64)
            & c1_1(a64)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a58)
            & c3_1(a58)
            & c0_1(a58)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a52)
            & ~ c1_1(a52)
            & c0_1(a52)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a43)
            & ~ c1_1(a43)
            & c2_1(a43)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a42)
            & c3_1(a42)
            & c2_1(a42)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a38)
            & c3_1(a38)
            & c1_1(a38)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a36)
            & ~ c2_1(a36)
            & ~ c1_1(a36)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a34)
            & ~ c1_1(a34)
            & c3_1(a34)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a32)
            & ~ c0_1(a32)
            & c3_1(a32)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a31)
            & ~ c0_1(a31)
            & c2_1(a31)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a27)
            & c1_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a26)
            & ~ c1_1(a26)
            & ~ c0_1(a26)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a22)
            & ~ c2_1(a22)
            & ~ c0_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a21)
            & ~ c1_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & c1_1(a19)
            & c0_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & ~ c1_1(a18)
            & ~ c0_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a12)
            & ~ c2_1(a12)
            & c1_1(a12)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a11)
            & c2_1(a11)
            & c1_1(a11)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a9)
            & ~ c0_1(a9)
            & c1_1(a9)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a8)
            & ~ c2_1(a8)
            & c0_1(a8)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a6)
            & c2_1(a6)
            & c0_1(a6)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a5)
            & c3_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a4)
            & ~ c0_1(a4)
            & c3_1(a4)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a3)
            & c2_1(a3)
            & c0_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2)
            & c3_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a1)
            & c2_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp18
          | hskp26
          | hskp7 )
        & ( hskp23
          | hskp24
          | hskp2 )
        & ( hskp17
          | hskp27
          | hskp30 )
        & ( hskp7
          | hskp27
          | hskp30 )
        & ( hskp18
          | hskp2
          | hskp30 )
        & ( hskp22
          | hskp11 )
        & ( hskp7
          | hskp20
          | hskp11 )
        & ( hskp25
          | hskp2
          | hskp15 )
        & ( hskp9
          | hskp7
          | hskp28 )
        & ( hskp9
          | hskp1
          | hskp28 )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | ~ c0_1(X82) ) ) )
        & ( hskp25
          | hskp27
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c1_1(X81)
                | c3_1(X81) ) ) )
        & ( hskp14
          | hskp18
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp19
          | hskp22
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp24
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c3_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp4
          | hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c2_1(X76) ) ) )
        & ( hskp22
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) ) )
        & ( hskp0
          | hskp1
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp23
          | hskp2
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp19
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp16
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp13
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp29
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp5
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp0
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp22
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp21
          | hskp0
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp13
          | hskp1
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp20
          | hskp29
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp19
          | hskp1
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp18
          | hskp30
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp17
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c3_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp16
          | hskp9
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp5
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c0_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp4
          | hskp15
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c0_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp14
          | hskp29
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp3
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp0
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp13
          | hskp12
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | hskp11
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp10
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp9
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp27
          | hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp3
          | hskp9
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp8
          | hskp27
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp7
          | hskp6
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp0
          | hskp5
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp2
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp1
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c3_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c2_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | c3_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a33)
            & c2_1(a33)
            & c0_1(a33)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a15)
            & c1_1(a15)
            & c0_1(a15)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a10)
            & c2_1(a10)
            & c1_1(a10)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a92)
            & ~ c0_1(a92)
            & c2_1(a92)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a64)
            & c3_1(a64)
            & c1_1(a64)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a58)
            & c3_1(a58)
            & c0_1(a58)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a52)
            & ~ c1_1(a52)
            & c0_1(a52)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a43)
            & ~ c1_1(a43)
            & c2_1(a43)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a42)
            & c3_1(a42)
            & c2_1(a42)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a38)
            & c3_1(a38)
            & c1_1(a38)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a36)
            & ~ c2_1(a36)
            & ~ c1_1(a36)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a34)
            & ~ c1_1(a34)
            & c3_1(a34)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a32)
            & ~ c0_1(a32)
            & c3_1(a32)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a31)
            & ~ c0_1(a31)
            & c2_1(a31)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a27)
            & c1_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a26)
            & ~ c1_1(a26)
            & ~ c0_1(a26)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a22)
            & ~ c2_1(a22)
            & ~ c0_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a21)
            & ~ c1_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & c1_1(a19)
            & c0_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & ~ c1_1(a18)
            & ~ c0_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a12)
            & ~ c2_1(a12)
            & c1_1(a12)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a11)
            & c2_1(a11)
            & c1_1(a11)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a9)
            & ~ c0_1(a9)
            & c1_1(a9)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a8)
            & ~ c2_1(a8)
            & c0_1(a8)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a6)
            & c2_1(a6)
            & c0_1(a6)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a5)
            & c3_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a4)
            & ~ c0_1(a4)
            & c3_1(a4)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a3)
            & c2_1(a3)
            & c0_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2)
            & c3_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a1)
            & c2_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp18
        | hskp26
        | hskp7 )
      & ( hskp23
        | hskp24
        | hskp2 )
      & ( hskp17
        | hskp27
        | hskp30 )
      & ( hskp7
        | hskp27
        | hskp30 )
      & ( hskp18
        | hskp2
        | hskp30 )
      & ( hskp22
        | hskp11 )
      & ( hskp7
        | hskp20
        | hskp11 )
      & ( hskp25
        | hskp2
        | hskp15 )
      & ( hskp9
        | hskp7
        | hskp28 )
      & ( hskp9
        | hskp1
        | hskp28 )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c1_1(X82)
              | ~ c0_1(X82) ) ) )
      & ( hskp25
        | hskp27
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c1_1(X81)
              | c3_1(X81) ) ) )
      & ( hskp14
        | hskp18
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp19
        | hskp22
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp24
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c3_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp4
        | hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | c2_1(X76) ) ) )
      & ( hskp22
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) ) )
      & ( hskp0
        | hskp1
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp23
        | hskp2
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp19
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | ~ c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp16
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp13
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c3_1(X64)
              | c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c0_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp29
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp5
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp0
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | c3_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( hskp22
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) ) )
      & ( hskp21
        | hskp0
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp13
        | hskp1
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) ) )
      & ( hskp20
        | hskp29
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) ) )
      & ( hskp19
        | hskp1
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) ) )
      & ( hskp18
        | hskp30
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | c2_1(X48)
              | c1_1(X48) ) ) )
      & ( hskp17
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | c3_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) ) )
      & ( hskp16
        | hskp9
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp5
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c0_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c0_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp4
        | hskp15
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c0_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | c3_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp14
        | hskp29
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp3
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c3_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp0
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp13
        | hskp12
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | hskp11
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp10
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | ~ c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp9
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | c3_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp27
        | hskp28
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c1_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp6
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp3
        | hskp9
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp8
        | hskp27
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp7
        | hskp6
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp0
        | hskp5
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp3
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c0_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp2
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp1
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c0_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | c3_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | c2_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c2_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | c3_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a33)
          & c2_1(a33)
          & c0_1(a33)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a25)
          & c1_1(a25)
          & c0_1(a25)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a15)
          & c1_1(a15)
          & c0_1(a15)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a10)
          & c2_1(a10)
          & c1_1(a10)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a92)
          & ~ c0_1(a92)
          & c2_1(a92)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a64)
          & c3_1(a64)
          & c1_1(a64)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a58)
          & c3_1(a58)
          & c0_1(a58)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a52)
          & ~ c1_1(a52)
          & c0_1(a52)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a43)
          & ~ c1_1(a43)
          & c2_1(a43)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c0_1(a42)
          & c3_1(a42)
          & c2_1(a42)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c0_1(a38)
          & c3_1(a38)
          & c1_1(a38)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a36)
          & ~ c2_1(a36)
          & ~ c1_1(a36)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a34)
          & ~ c1_1(a34)
          & c3_1(a34)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a32)
          & ~ c0_1(a32)
          & c3_1(a32)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a31)
          & ~ c0_1(a31)
          & c2_1(a31)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a27)
          & c1_1(a27)
          & c0_1(a27)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a26)
          & ~ c1_1(a26)
          & ~ c0_1(a26)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a22)
          & ~ c2_1(a22)
          & ~ c0_1(a22)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a21)
          & ~ c1_1(a21)
          & c0_1(a21)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a19)
          & c1_1(a19)
          & c0_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a18)
          & ~ c1_1(a18)
          & ~ c0_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a12)
          & ~ c2_1(a12)
          & c1_1(a12)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a11)
          & c2_1(a11)
          & c1_1(a11)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a9)
          & ~ c0_1(a9)
          & c1_1(a9)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a8)
          & ~ c2_1(a8)
          & c0_1(a8)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a6)
          & c2_1(a6)
          & c0_1(a6)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a5)
          & c3_1(a5)
          & c2_1(a5)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a4)
          & ~ c0_1(a4)
          & c3_1(a4)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a3)
          & c2_1(a3)
          & c0_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2)
          & c3_1(a2)
          & c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a1)
          & c2_1(a1)
          & c1_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.wY1Pdu3rLM/Vampire---4.8_31849',co1) ).

fof(f989,plain,
    ( ~ spl0_32
    | spl0_155 ),
    inference(avatar_split_clause,[],[f9,f986,f351]) ).

fof(f9,plain,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f984,plain,
    ( ~ spl0_32
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f10,f981,f351]) ).

fof(f10,plain,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f979,plain,
    ( ~ spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f11,f304,f293]) ).

fof(f293,plain,
    ( spl0_17
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f304,plain,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

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

fof(f978,plain,
    ( ~ spl0_17
    | spl0_153 ),
    inference(avatar_split_clause,[],[f12,f975,f293]) ).

fof(f12,plain,
    ( c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f973,plain,
    ( ~ spl0_17
    | spl0_152 ),
    inference(avatar_split_clause,[],[f13,f970,f293]) ).

fof(f13,plain,
    ( c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( ~ spl0_17
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f14,f965,f293]) ).

fof(f14,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f962,plain,
    ( ~ spl0_4
    | spl0_150 ),
    inference(avatar_split_clause,[],[f16,f959,f233]) ).

fof(f233,plain,
    ( spl0_4
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f16,plain,
    ( c0_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( ~ spl0_4
    | spl0_149 ),
    inference(avatar_split_clause,[],[f17,f954,f233]) ).

fof(f17,plain,
    ( c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f952,plain,
    ( ~ spl0_4
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f18,f949,f233]) ).

fof(f18,plain,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_43
    | spl0_141 ),
    inference(avatar_split_clause,[],[f28,f911,f396]) ).

fof(f396,plain,
    ( spl0_43
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f28,plain,
    ( c0_1(a6)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_43
    | spl0_140 ),
    inference(avatar_split_clause,[],[f29,f906,f396]) ).

fof(f29,plain,
    ( c2_1(a6)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_43
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f30,f901,f396]) ).

fof(f30,plain,
    ( ~ c3_1(a6)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_55
    | spl0_138 ),
    inference(avatar_split_clause,[],[f32,f895,f454]) ).

fof(f454,plain,
    ( spl0_55
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f32,plain,
    ( c0_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_55
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f33,f890,f454]) ).

fof(f33,plain,
    ( ~ c2_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f888,plain,
    ( ~ spl0_55
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f34,f885,f454]) ).

fof(f34,plain,
    ( ~ c3_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_1
    | spl0_135 ),
    inference(avatar_split_clause,[],[f36,f879,f220]) ).

fof(f220,plain,
    ( spl0_1
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f36,plain,
    ( c1_1(a9)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( ~ spl0_1
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f37,f874,f220]) ).

fof(f37,plain,
    ( ~ c0_1(a9)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_1
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f38,f869,f220]) ).

fof(f38,plain,
    ( ~ c2_1(a9)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f43,f304,f288]) ).

fof(f288,plain,
    ( spl0_16
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f43,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_16
    | spl0_129 ),
    inference(avatar_split_clause,[],[f44,f847,f288]) ).

fof(f44,plain,
    ( c1_1(a12)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_16
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f45,f842,f288]) ).

fof(f45,plain,
    ( ~ c2_1(a12)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    ( ~ spl0_16
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f46,f837,f288]) ).

fof(f46,plain,
    ( ~ c3_1(a12)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_13
    | spl0_111 ),
    inference(avatar_split_clause,[],[f68,f751,f275]) ).

fof(f275,plain,
    ( spl0_13
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f68,plain,
    ( c0_1(a27)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_13
    | spl0_110 ),
    inference(avatar_split_clause,[],[f69,f746,f275]) ).

fof(f69,plain,
    ( c1_1(a27)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_13
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f70,f741,f275]) ).

fof(f70,plain,
    ( ~ c2_1(a27)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_9
    | spl0_105 ),
    inference(avatar_split_clause,[],[f76,f719,f254]) ).

fof(f254,plain,
    ( spl0_9
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f76,plain,
    ( c3_1(a32)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_9
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f77,f714,f254]) ).

fof(f77,plain,
    ( ~ c0_1(a32)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( ~ spl0_9
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f78,f709,f254]) ).

fof(f78,plain,
    ( ~ c2_1(a32)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( ~ spl0_3
    | spl0_102 ),
    inference(avatar_split_clause,[],[f80,f703,f228]) ).

fof(f228,plain,
    ( spl0_3
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f80,plain,
    ( c3_1(a34)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f701,plain,
    ( ~ spl0_3
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f81,f698,f228]) ).

fof(f81,plain,
    ( ~ c1_1(a34)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( ~ spl0_3
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f82,f693,f228]) ).

fof(f82,plain,
    ( ~ c2_1(a34)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_11
    | spl0_90 ),
    inference(avatar_split_clause,[],[f96,f639,f265]) ).

fof(f265,plain,
    ( spl0_11
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f96,plain,
    ( c2_1(a43)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_11
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f97,f634,f265]) ).

fof(f97,plain,
    ( ~ c1_1(a43)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( ~ spl0_11
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f98,f629,f265]) ).

fof(f98,plain,
    ( ~ c3_1(a43)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_5
    | spl0_84 ),
    inference(avatar_split_clause,[],[f104,f607,f237]) ).

fof(f237,plain,
    ( spl0_5
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f104,plain,
    ( c0_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_5
    | spl0_83 ),
    inference(avatar_split_clause,[],[f105,f602,f237]) ).

fof(f105,plain,
    ( c3_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_5
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f106,f597,f237]) ).

fof(f106,plain,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_14
    | spl0_81 ),
    inference(avatar_split_clause,[],[f108,f591,f279]) ).

fof(f279,plain,
    ( spl0_14
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f108,plain,
    ( c1_1(a64)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( ~ spl0_14
    | spl0_80 ),
    inference(avatar_split_clause,[],[f109,f586,f279]) ).

fof(f109,plain,
    ( c3_1(a64)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( ~ spl0_14
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f110,f581,f279]) ).

fof(f110,plain,
    ( ~ c2_1(a64)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_8
    | spl0_75 ),
    inference(avatar_split_clause,[],[f116,f559,f250]) ).

fof(f250,plain,
    ( spl0_8
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f116,plain,
    ( c1_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f557,plain,
    ( ~ spl0_8
    | spl0_74 ),
    inference(avatar_split_clause,[],[f117,f554,f250]) ).

fof(f117,plain,
    ( c2_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f552,plain,
    ( ~ spl0_8
    | spl0_73 ),
    inference(avatar_split_clause,[],[f118,f549,f250]) ).

fof(f118,plain,
    ( c3_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( ~ spl0_15
    | spl0_20 ),
    inference(avatar_split_clause,[],[f119,f304,f284]) ).

fof(f284,plain,
    ( spl0_15
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f119,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( ~ spl0_15
    | spl0_72 ),
    inference(avatar_split_clause,[],[f120,f543,f284]) ).

fof(f120,plain,
    ( c0_1(a15)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f541,plain,
    ( ~ spl0_15
    | spl0_71 ),
    inference(avatar_split_clause,[],[f121,f538,f284]) ).

fof(f121,plain,
    ( c1_1(a15)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( ~ spl0_15
    | spl0_70 ),
    inference(avatar_split_clause,[],[f122,f533,f284]) ).

fof(f122,plain,
    ( c3_1(a15)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f124,f527,f387]) ).

fof(f387,plain,
    ( spl0_41
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f124,plain,
    ( c0_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( ~ spl0_41
    | spl0_68 ),
    inference(avatar_split_clause,[],[f125,f522,f387]) ).

fof(f125,plain,
    ( c1_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( ~ spl0_41
    | spl0_67 ),
    inference(avatar_split_clause,[],[f126,f517,f387]) ).

fof(f126,plain,
    ( c2_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( ~ spl0_7
    | spl0_66 ),
    inference(avatar_split_clause,[],[f128,f511,f246]) ).

fof(f246,plain,
    ( spl0_7
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f128,plain,
    ( c0_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl0_7
    | spl0_65 ),
    inference(avatar_split_clause,[],[f129,f506,f246]) ).

fof(f129,plain,
    ( c2_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f504,plain,
    ( ~ spl0_7
    | spl0_64 ),
    inference(avatar_split_clause,[],[f130,f501,f246]) ).

fof(f130,plain,
    ( c3_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( spl0_57
    | ~ spl0_20
    | spl0_53
    | spl0_55 ),
    inference(avatar_split_clause,[],[f197,f454,f446,f304,f465]) ).

fof(f197,plain,
    ! [X65,X64] :
      ( hskp6
      | ~ c3_1(X64)
      | c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c2_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X65,X64] :
      ( hskp6
      | ~ c3_1(X64)
      | c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( spl0_57
    | spl0_48
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f198,f381,f304,f425,f465]) ).

fof(f198,plain,
    ! [X62,X63,X61] :
      ( ~ c0_1(X61)
      | c3_1(X61)
      | c1_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ c1_1(X63)
      | c2_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X62,X63,X61] :
      ( ~ c0_1(X61)
      | c3_1(X61)
      | c1_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f467,plain,
    ( ~ spl0_20
    | spl0_57
    | spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f144,f250,f284,f465,f304]) ).

fof(f144,plain,
    ! [X60] :
      ( hskp27
      | hskp28
      | ~ c1_1(X60)
      | c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f463,plain,
    ( spl0_53
    | ~ spl0_20
    | spl0_39
    | spl0_16 ),
    inference(avatar_split_clause,[],[f199,f288,f381,f304,f446]) ).

fof(f199,plain,
    ! [X58,X59] :
      ( hskp9
      | ~ c0_1(X58)
      | c3_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | c2_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X58,X59] :
      ( hskp9
      | ~ c0_1(X58)
      | c3_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | c2_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_52
    | ~ spl0_20
    | spl0_49
    | spl0_32 ),
    inference(avatar_split_clause,[],[f201,f351,f429,f304,f442]) ).

fof(f201,plain,
    ! [X52,X53] :
      ( hskp0
      | ~ c2_1(X52)
      | c3_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X52,X53] :
      ( hskp0
      | ~ c2_1(X52)
      | c3_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_48
    | spl0_49
    | ~ spl0_20
    | spl0_25 ),
    inference(avatar_split_clause,[],[f203,f324,f304,f429,f425]) ).

fof(f203,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c0_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | c3_1(X47)
      | c1_1(X47)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X48,X46,X47] :
      ( ~ c3_1(X46)
      | ~ c0_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | c3_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_47
    | spl0_36
    | ~ spl0_20
    | spl0_28 ),
    inference(avatar_split_clause,[],[f204,f335,f304,f369,f419]) ).

fof(f204,plain,
    ! [X44,X42,X43] :
      ( ~ c2_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X44,X42,X43] :
      ( ~ c2_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_47
    | ~ spl0_20
    | spl0_36
    | spl0_43 ),
    inference(avatar_split_clause,[],[f205,f396,f369,f304,f419]) ).

fof(f205,plain,
    ! [X40,X41] :
      ( hskp5
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | c1_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X40,X41] :
      ( hskp5
      | ~ c2_1(X40)
      | ~ c0_1(X40)
      | c1_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f400,plain,
    ( spl0_42
    | ~ spl0_20
    | spl0_34
    | spl0_32 ),
    inference(avatar_split_clause,[],[f208,f351,f361,f304,f392]) ).

fof(f208,plain,
    ! [X28,X29] :
      ( hskp0
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | c2_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X28,X29] :
      ( hskp0
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( spl0_42
    | ~ spl0_20
    | spl0_21
    | spl0_41 ),
    inference(avatar_split_clause,[],[f210,f387,f308,f304,f392]) ).

fof(f210,plain,
    ! [X24,X25] :
      ( hskp29
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c1_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | c2_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X24,X25] :
      ( hskp29
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | ~ c1_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_20
    | spl0_19 ),
    inference(avatar_split_clause,[],[f213,f301,f304,f372,f369]) ).

fof(f213,plain,
    ! [X18,X19,X17] :
      ( ~ c3_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X18,X19,X17] :
      ( ~ c3_1(X17)
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f354,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_17
    | spl0_32 ),
    inference(avatar_split_clause,[],[f173,f351,f293,f348,f304]) ).

fof(f173,plain,
    ! [X11] :
      ( hskp0
      | hskp1
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | c1_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f346,plain,
    ( spl0_29
    | ~ spl0_20
    | spl0_27
    | spl0_11 ),
    inference(avatar_split_clause,[],[f216,f265,f332,f304,f339]) ).

fof(f216,plain,
    ! [X10,X9] :
      ( hskp22
      | ~ c1_1(X9)
      | c3_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c3_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X10,X9] :
      ( hskp22
      | ~ c1_1(X9)
      | c3_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c3_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f337,plain,
    ( spl0_27
    | ~ spl0_20
    | spl0_28
    | spl0_5 ),
    inference(avatar_split_clause,[],[f217,f237,f335,f304,f332]) ).

fof(f217,plain,
    ! [X6,X7] :
      ( hskp24
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | ~ c1_1(X7)
      | c3_1(X7)
      | c2_1(X7) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X6,X7] :
      ( hskp24
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | ~ c1_1(X7)
      | c3_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f314,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_8
    | spl0_14 ),
    inference(avatar_split_clause,[],[f179,f279,f250,f312,f304]) ).

fof(f179,plain,
    ! [X3] :
      ( hskp25
      | hskp27
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f310,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f218,f308,f304,f301,f298]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f296,plain,
    ( spl0_15
    | spl0_17
    | spl0_16 ),
    inference(avatar_split_clause,[],[f181,f288,f293,f284]) ).

fof(f181,plain,
    ( hskp9
    | hskp1
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( spl0_15
    | spl0_1
    | spl0_16 ),
    inference(avatar_split_clause,[],[f182,f288,f220,f284]) ).

fof(f182,plain,
    ( hskp9
    | hskp7
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f282,plain,
    ( spl0_13
    | spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f183,f279,f233,f275]) ).

fof(f183,plain,
    ( hskp25
    | hskp2
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f259,plain,
    ( spl0_7
    | spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f186,f228,f233,f246]) ).

fof(f186,plain,
    ( hskp18
    | hskp2
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f258,plain,
    ( spl0_7
    | spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f187,f220,f250,f246]) ).

fof(f187,plain,
    ( hskp7
    | hskp27
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f257,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f188,f254,f250,f246]) ).

fof(f188,plain,
    ( hskp17
    | hskp27
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SYN443+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n029.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 17:44:05 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.wY1Pdu3rLM/Vampire---4.8_31849
% 0.59/0.76  % (32114)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.76  % (32107)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76  % (32110)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.76  % (32109)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (32111)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76  % (32108)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.76  % (32113)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.76  % (32112)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.78  % (32112)Instruction limit reached!
% 0.59/0.78  % (32112)------------------------------
% 0.59/0.78  % (32112)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (32112)Termination reason: Unknown
% 0.59/0.78  % (32112)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (32112)Memory used [KB]: 2270
% 0.59/0.78  % (32112)Time elapsed: 0.017 s
% 0.59/0.78  % (32112)Instructions burned: 46 (million)
% 0.59/0.78  % (32112)------------------------------
% 0.59/0.78  % (32112)------------------------------
% 0.59/0.78  % (32110)Instruction limit reached!
% 0.59/0.78  % (32110)------------------------------
% 0.59/0.78  % (32110)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (32110)Termination reason: Unknown
% 0.59/0.78  % (32110)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (32110)Memory used [KB]: 2148
% 0.59/0.78  % (32110)Time elapsed: 0.020 s
% 0.59/0.78  % (32110)Instructions burned: 33 (million)
% 0.59/0.78  % (32110)------------------------------
% 0.59/0.78  % (32110)------------------------------
% 0.59/0.78  % (32108)First to succeed.
% 0.59/0.78  % (32107)Instruction limit reached!
% 0.59/0.78  % (32107)------------------------------
% 0.59/0.78  % (32107)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (32107)Termination reason: Unknown
% 0.59/0.78  % (32107)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (32107)Memory used [KB]: 1978
% 0.59/0.78  % (32107)Time elapsed: 0.021 s
% 0.59/0.78  % (32107)Instructions burned: 34 (million)
% 0.59/0.78  % (32107)------------------------------
% 0.59/0.78  % (32107)------------------------------
% 0.59/0.78  % (32111)Instruction limit reached!
% 0.59/0.78  % (32111)------------------------------
% 0.59/0.78  % (32111)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (32111)Termination reason: Unknown
% 0.59/0.78  % (32111)Termination phase: Saturation
% 0.59/0.78  % (32115)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.78  
% 0.59/0.78  % (32111)Memory used [KB]: 2070
% 0.59/0.78  % (32111)Time elapsed: 0.021 s
% 0.59/0.78  % (32111)Instructions burned: 34 (million)
% 0.59/0.78  % (32111)------------------------------
% 0.59/0.78  % (32111)------------------------------
% 0.59/0.78  % (32116)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.78  % (32118)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.79  % (32117)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.79  % (32108)Refutation found. Thanks to Tanya!
% 0.59/0.79  % SZS status Theorem for Vampire---4
% 0.59/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79  % (32108)------------------------------
% 0.59/0.79  % (32108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (32108)Termination reason: Refutation
% 0.59/0.79  
% 0.59/0.79  % (32108)Memory used [KB]: 1780
% 0.59/0.79  % (32108)Time elapsed: 0.029 s
% 0.59/0.79  % (32108)Instructions burned: 50 (million)
% 0.59/0.79  % (32108)------------------------------
% 0.59/0.79  % (32108)------------------------------
% 0.59/0.79  % (32103)Success in time 0.399 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------