TSTP Solution File: SYN506+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN506+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 : n004.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 04:35:16 EDT 2024

% Result   : Theorem 0.65s 0.79s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  114
% Syntax   : Number of formulae    :  487 (   1 unt;   0 def)
%            Number of atoms       : 6202 (   0 equ)
%            Maximal formula atoms :  759 (  12 avg)
%            Number of connectives : 8460 (2745   ~;3928   |;1170   &)
%                                         ( 113 <=>; 504  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  148 ( 147 usr; 144 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  902 ( 902   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1739,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f289,f316,f341,f345,f357,f363,f367,f371,f380,f384,f394,f402,f407,f408,f421,f436,f440,f444,f458,f459,f464,f466,f472,f495,f503,f506,f511,f512,f513,f514,f523,f525,f549,f554,f559,f565,f570,f575,f581,f586,f591,f597,f602,f607,f613,f618,f623,f645,f650,f655,f661,f666,f671,f725,f730,f735,f741,f746,f751,f757,f762,f767,f773,f778,f783,f789,f794,f799,f805,f810,f815,f837,f842,f847,f869,f874,f879,f885,f890,f895,f917,f922,f927,f928,f933,f938,f943,f944,f949,f954,f959,f960,f1016,f1021,f1035,f1041,f1048,f1054,f1061,f1067,f1073,f1080,f1085,f1092,f1099,f1104,f1111,f1122,f1143,f1155,f1170,f1204,f1215,f1221,f1259,f1278,f1288,f1290,f1291,f1300,f1302,f1334,f1345,f1355,f1408,f1409,f1423,f1429,f1436,f1440,f1453,f1515,f1544,f1563,f1610,f1612,f1620,f1658,f1659,f1660,f1661,f1692,f1712,f1737,f1738]) ).

fof(f1738,plain,
    ( ~ spl0_63
    | spl0_154
    | ~ spl0_24
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1734,f551,f351,f1058,f546]) ).

fof(f546,plain,
    ( spl0_63
  <=> c2_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1058,plain,
    ( spl0_154
  <=> c3_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f351,plain,
    ( spl0_24
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f551,plain,
    ( spl0_64
  <=> c1_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1734,plain,
    ( c3_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_24
    | ~ spl0_64 ),
    inference(resolution,[],[f352,f553]) ).

fof(f553,plain,
    ( c1_1(a343)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f352,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c3_1(X5)
        | ~ c2_1(X5) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f1737,plain,
    ( ~ spl0_109
    | spl0_108
    | ~ spl0_24
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1726,f1256,f351,f786,f791]) ).

fof(f791,plain,
    ( spl0_109
  <=> c2_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f786,plain,
    ( spl0_108
  <=> c3_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1256,plain,
    ( spl0_162
  <=> c1_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1726,plain,
    ( c3_1(a346)
    | ~ c2_1(a346)
    | ~ spl0_24
    | ~ spl0_162 ),
    inference(resolution,[],[f352,f1258]) ).

fof(f1258,plain,
    ( c1_1(a346)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1256]) ).

fof(f1712,plain,
    ( ~ spl0_63
    | ~ spl0_65
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1707,f551,f347,f556,f546]) ).

fof(f556,plain,
    ( spl0_65
  <=> c0_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f347,plain,
    ( spl0_23
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1707,plain,
    ( ~ c0_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(resolution,[],[f348,f553]) ).

fof(f348,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c0_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1692,plain,
    ( ~ spl0_77
    | spl0_76
    | ~ spl0_57
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1691,f610,f508,f615,f620]) ).

fof(f620,plain,
    ( spl0_77
  <=> c1_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f615,plain,
    ( spl0_76
  <=> c0_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f508,plain,
    ( spl0_57
  <=> ! [X86] :
        ( ~ c1_1(X86)
        | c0_1(X86)
        | c2_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f610,plain,
    ( spl0_75
  <=> c2_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1691,plain,
    ( c0_1(a401)
    | ~ c1_1(a401)
    | ~ spl0_57
    | spl0_75 ),
    inference(resolution,[],[f612,f509]) ).

fof(f509,plain,
    ( ! [X86] :
        ( c2_1(X86)
        | c0_1(X86)
        | ~ c1_1(X86) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f612,plain,
    ( ~ c2_1(a401)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f1661,plain,
    ( spl0_151
    | spl0_96
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1537,f732,f493,f722,f1018]) ).

fof(f1018,plain,
    ( spl0_151
  <=> c3_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f722,plain,
    ( spl0_96
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f493,plain,
    ( spl0_54
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f732,plain,
    ( spl0_98
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1537,plain,
    ( c0_1(a353)
    | c3_1(a353)
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(resolution,[],[f494,f734]) ).

fof(f734,plain,
    ( c1_1(a353)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f494,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f1660,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_34
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1625,f775,f396,f770,f780]) ).

fof(f780,plain,
    ( spl0_107
  <=> c2_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f770,plain,
    ( spl0_105
  <=> c1_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f396,plain,
    ( spl0_34
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f775,plain,
    ( spl0_106
  <=> c3_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1625,plain,
    ( c1_1(a347)
    | ~ c2_1(a347)
    | ~ spl0_34
    | ~ spl0_106 ),
    inference(resolution,[],[f397,f777]) ).

fof(f777,plain,
    ( c3_1(a347)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f397,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1659,plain,
    ( spl0_175
    | spl0_85
    | ~ spl0_59
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1652,f668,f521,f663,f1617]) ).

fof(f1617,plain,
    ( spl0_175
  <=> c1_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f663,plain,
    ( spl0_85
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f521,plain,
    ( spl0_59
  <=> ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f668,plain,
    ( spl0_86
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1652,plain,
    ( c0_1(a359)
    | c1_1(a359)
    | ~ spl0_59
    | ~ spl0_86 ),
    inference(resolution,[],[f522,f670]) ).

fof(f670,plain,
    ( c3_1(a359)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f522,plain,
    ( ! [X102] :
        ( ~ c3_1(X102)
        | c0_1(X102)
        | c1_1(X102) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f1658,plain,
    ( spl0_126
    | spl0_127
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1647,f892,f521,f887,f882]) ).

fof(f882,plain,
    ( spl0_126
  <=> c1_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f887,plain,
    ( spl0_127
  <=> c0_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f892,plain,
    ( spl0_128
  <=> c3_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1647,plain,
    ( c0_1(a330)
    | c1_1(a330)
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(resolution,[],[f522,f894]) ).

fof(f894,plain,
    ( c3_1(a330)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f1620,plain,
    ( ~ spl0_175
    | spl0_85
    | ~ spl0_57
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1615,f658,f508,f663,f1617]) ).

fof(f658,plain,
    ( spl0_84
  <=> c2_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1615,plain,
    ( c0_1(a359)
    | ~ c1_1(a359)
    | ~ spl0_57
    | spl0_84 ),
    inference(resolution,[],[f660,f509]) ).

fof(f660,plain,
    ( ~ c2_1(a359)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1612,plain,
    ( spl0_124
    | spl0_123
    | ~ spl0_47
    | spl0_174 ),
    inference(avatar_split_clause,[],[f1611,f1607,f456,f866,f871]) ).

fof(f871,plain,
    ( spl0_124
  <=> c2_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f866,plain,
    ( spl0_123
  <=> c3_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f456,plain,
    ( spl0_47
  <=> ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1607,plain,
    ( spl0_174
  <=> c1_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1611,plain,
    ( c3_1(a332)
    | c2_1(a332)
    | ~ spl0_47
    | spl0_174 ),
    inference(resolution,[],[f1609,f457]) ).

fof(f457,plain,
    ( ! [X48] :
        ( c1_1(X48)
        | c3_1(X48)
        | c2_1(X48) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1609,plain,
    ( ~ c1_1(a332)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1607]) ).

fof(f1610,plain,
    ( ~ spl0_174
    | spl0_125
    | ~ spl0_57
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1599,f871,f508,f876,f1607]) ).

fof(f876,plain,
    ( spl0_125
  <=> c0_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1599,plain,
    ( c0_1(a332)
    | ~ c1_1(a332)
    | ~ spl0_57
    | spl0_124 ),
    inference(resolution,[],[f509,f873]) ).

fof(f873,plain,
    ( ~ c2_1(a332)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f1563,plain,
    ( spl0_84
    | spl0_85
    | ~ spl0_56
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1553,f668,f501,f663,f658]) ).

fof(f501,plain,
    ( spl0_56
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1553,plain,
    ( c0_1(a359)
    | c2_1(a359)
    | ~ spl0_56
    | ~ spl0_86 ),
    inference(resolution,[],[f502,f670]) ).

fof(f502,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1544,plain,
    ( spl0_168
    | spl0_76
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1540,f620,f493,f615,f1426]) ).

fof(f1426,plain,
    ( spl0_168
  <=> c3_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1540,plain,
    ( c0_1(a401)
    | c3_1(a401)
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(resolution,[],[f494,f622]) ).

fof(f622,plain,
    ( c1_1(a401)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1515,plain,
    ( spl0_72
    | spl0_156
    | ~ spl0_47
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1506,f599,f456,f1082,f594]) ).

fof(f594,plain,
    ( spl0_72
  <=> c2_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1082,plain,
    ( spl0_156
  <=> c3_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f599,plain,
    ( spl0_73
  <=> c1_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1506,plain,
    ( c3_1(a419)
    | c2_1(a419)
    | ~ spl0_47
    | spl0_73 ),
    inference(resolution,[],[f457,f601]) ).

fof(f601,plain,
    ( ~ c1_1(a419)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1453,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1446,f919,f378,f914,f924]) ).

fof(f924,plain,
    ( spl0_134
  <=> c0_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f914,plain,
    ( spl0_132
  <=> c3_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f378,plain,
    ( spl0_30
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c3_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f919,plain,
    ( spl0_133
  <=> c1_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1446,plain,
    ( c3_1(a327)
    | ~ c0_1(a327)
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(resolution,[],[f379,f921]) ).

fof(f921,plain,
    ( c1_1(a327)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f379,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c3_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1440,plain,
    ( ~ spl0_136
    | spl0_135
    | ~ spl0_39
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1438,f940,f419,f930,f935]) ).

fof(f935,plain,
    ( spl0_136
  <=> c2_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f930,plain,
    ( spl0_135
  <=> c1_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f419,plain,
    ( spl0_39
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | ~ c0_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f940,plain,
    ( spl0_137
  <=> c0_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1438,plain,
    ( c1_1(a326)
    | ~ c2_1(a326)
    | ~ spl0_39
    | ~ spl0_137 ),
    inference(resolution,[],[f942,f420]) ).

fof(f420,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | ~ c2_1(X30) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f942,plain,
    ( c0_1(a326)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1436,plain,
    ( ~ spl0_109
    | spl0_162
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1434,f796,f419,f1256,f791]) ).

fof(f796,plain,
    ( spl0_110
  <=> c0_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1434,plain,
    ( c1_1(a346)
    | ~ c2_1(a346)
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(resolution,[],[f798,f420]) ).

fof(f798,plain,
    ( c0_1(a346)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f1429,plain,
    ( ~ spl0_168
    | spl0_75
    | ~ spl0_27
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1424,f620,f365,f610,f1426]) ).

fof(f365,plain,
    ( spl0_27
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1424,plain,
    ( c2_1(a401)
    | ~ c3_1(a401)
    | ~ spl0_27
    | ~ spl0_77 ),
    inference(resolution,[],[f622,f366]) ).

fof(f366,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1423,plain,
    ( ~ spl0_150
    | ~ spl0_69
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1421,f588,f339,f578,f1013]) ).

fof(f1013,plain,
    ( spl0_150
  <=> c2_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f578,plain,
    ( spl0_69
  <=> c3_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f339,plain,
    ( spl0_21
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f588,plain,
    ( spl0_71
  <=> c0_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1421,plain,
    ( ~ c3_1(a333)
    | ~ c2_1(a333)
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(resolution,[],[f590,f340]) ).

fof(f340,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f590,plain,
    ( c0_1(a333)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f1409,plain,
    ( ~ spl0_69
    | spl0_150
    | ~ spl0_27
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1201,f583,f365,f1013,f578]) ).

fof(f583,plain,
    ( spl0_70
  <=> c1_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1201,plain,
    ( c2_1(a333)
    | ~ c3_1(a333)
    | ~ spl0_27
    | ~ spl0_70 ),
    inference(resolution,[],[f366,f585]) ).

fof(f585,plain,
    ( c1_1(a333)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1408,plain,
    ( ~ spl0_69
    | ~ spl0_71
    | ~ spl0_22
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1230,f583,f343,f588,f578]) ).

fof(f343,plain,
    ( spl0_22
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1230,plain,
    ( ~ c0_1(a333)
    | ~ c3_1(a333)
    | ~ spl0_22
    | ~ spl0_70 ),
    inference(resolution,[],[f344,f585]) ).

fof(f344,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3)
        | ~ c3_1(X3) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f1355,plain,
    ( ~ spl0_157
    | spl0_127
    | ~ spl0_49
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1347,f892,f468,f887,f1101]) ).

fof(f1101,plain,
    ( spl0_157
  <=> c2_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f468,plain,
    ( spl0_49
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1347,plain,
    ( c0_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_49
    | ~ spl0_128 ),
    inference(resolution,[],[f469,f894]) ).

fof(f469,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1345,plain,
    ( ~ spl0_65
    | spl0_154
    | ~ spl0_30
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1342,f551,f378,f1058,f556]) ).

fof(f1342,plain,
    ( c3_1(a343)
    | ~ c0_1(a343)
    | ~ spl0_30
    | ~ spl0_64 ),
    inference(resolution,[],[f379,f553]) ).

fof(f1334,plain,
    ( spl0_158
    | spl0_102
    | ~ spl0_47
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1322,f759,f456,f754,f1108]) ).

fof(f1108,plain,
    ( spl0_158
  <=> c2_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f754,plain,
    ( spl0_102
  <=> c3_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f759,plain,
    ( spl0_103
  <=> c1_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1322,plain,
    ( c3_1(a348)
    | c2_1(a348)
    | ~ spl0_47
    | spl0_103 ),
    inference(resolution,[],[f457,f761]) ).

fof(f761,plain,
    ( ~ c1_1(a348)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f1302,plain,
    ( spl0_72
    | spl0_73
    | ~ spl0_45
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1297,f604,f447,f599,f594]) ).

fof(f447,plain,
    ( spl0_45
  <=> ! [X46] :
        ( ~ c0_1(X46)
        | c1_1(X46)
        | c2_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f604,plain,
    ( spl0_74
  <=> c0_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1297,plain,
    ( c1_1(a419)
    | c2_1(a419)
    | ~ spl0_45
    | ~ spl0_74 ),
    inference(resolution,[],[f448,f606]) ).

fof(f606,plain,
    ( c0_1(a419)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f448,plain,
    ( ! [X46] :
        ( ~ c0_1(X46)
        | c1_1(X46)
        | c2_1(X46) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1300,plain,
    ( spl0_111
    | spl0_159
    | ~ spl0_45
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1295,f812,f447,f1127,f802]) ).

fof(f802,plain,
    ( spl0_111
  <=> c2_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1127,plain,
    ( spl0_159
  <=> c1_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f812,plain,
    ( spl0_113
  <=> c0_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1295,plain,
    ( c1_1(a345)
    | c2_1(a345)
    | ~ spl0_45
    | ~ spl0_113 ),
    inference(resolution,[],[f448,f814]) ).

fof(f814,plain,
    ( c0_1(a345)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f1291,plain,
    ( spl0_72
    | spl0_73
    | ~ spl0_44
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1285,f1082,f442,f599,f594]) ).

fof(f442,plain,
    ( spl0_44
  <=> ! [X43] :
        ( ~ c3_1(X43)
        | c1_1(X43)
        | c2_1(X43) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1285,plain,
    ( c1_1(a419)
    | c2_1(a419)
    | ~ spl0_44
    | ~ spl0_156 ),
    inference(resolution,[],[f443,f1084]) ).

fof(f1084,plain,
    ( c3_1(a419)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f443,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1290,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1284,f652,f442,f647,f642]) ).

fof(f642,plain,
    ( spl0_81
  <=> c2_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f647,plain,
    ( spl0_82
  <=> c1_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f652,plain,
    ( spl0_83
  <=> c3_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1284,plain,
    ( c1_1(a367)
    | c2_1(a367)
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(resolution,[],[f443,f654]) ).

fof(f654,plain,
    ( c3_1(a367)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f1288,plain,
    ( spl0_157
    | spl0_126
    | ~ spl0_44
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1280,f892,f442,f882,f1101]) ).

fof(f1280,plain,
    ( c1_1(a330)
    | c2_1(a330)
    | ~ spl0_44
    | ~ spl0_128 ),
    inference(resolution,[],[f443,f894]) ).

fof(f1278,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_43
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1275,f764,f438,f759,f754]) ).

fof(f438,plain,
    ( spl0_43
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c3_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f764,plain,
    ( spl0_104
  <=> c0_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1275,plain,
    ( c1_1(a348)
    | c3_1(a348)
    | ~ spl0_43
    | ~ spl0_104 ),
    inference(resolution,[],[f439,f766]) ).

fof(f766,plain,
    ( c0_1(a348)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f439,plain,
    ( ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c3_1(X40) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f1259,plain,
    ( spl0_108
    | spl0_162
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1249,f791,f433,f1256,f786]) ).

fof(f433,plain,
    ( spl0_42
  <=> ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | c3_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1249,plain,
    ( c1_1(a346)
    | c3_1(a346)
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(resolution,[],[f434,f793]) ).

fof(f793,plain,
    ( c2_1(a346)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f434,plain,
    ( ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | c3_1(X36) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1221,plain,
    ( ~ spl0_67
    | ~ spl0_66
    | ~ spl0_19
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1220,f572,f331,f562,f567]) ).

fof(f567,plain,
    ( spl0_67
  <=> c2_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f562,plain,
    ( spl0_66
  <=> c3_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f331,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f572,plain,
    ( spl0_68
  <=> c1_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1220,plain,
    ( ~ c3_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_19
    | ~ spl0_68 ),
    inference(resolution,[],[f574,f332]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f574,plain,
    ( c1_1(a341)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f1215,plain,
    ( spl0_132
    | spl0_152
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1208,f924,f382,f1027,f914]) ).

fof(f1027,plain,
    ( spl0_152
  <=> c2_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f382,plain,
    ( spl0_31
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1208,plain,
    ( c2_1(a327)
    | c3_1(a327)
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(resolution,[],[f383,f926]) ).

fof(f926,plain,
    ( c0_1(a327)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f383,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1204,plain,
    ( ~ spl0_112
    | spl0_111
    | ~ spl0_27
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1199,f1127,f365,f802,f807]) ).

fof(f807,plain,
    ( spl0_112
  <=> c3_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1199,plain,
    ( c2_1(a345)
    | ~ c3_1(a345)
    | ~ spl0_27
    | ~ spl0_159 ),
    inference(resolution,[],[f366,f1129]) ).

fof(f1129,plain,
    ( c1_1(a345)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1170,plain,
    ( ~ spl0_112
    | spl0_111
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1160,f812,f392,f802,f807]) ).

fof(f392,plain,
    ( spl0_33
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1160,plain,
    ( c2_1(a345)
    | ~ c3_1(a345)
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(resolution,[],[f393,f814]) ).

fof(f393,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c2_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1155,plain,
    ( ~ spl0_63
    | ~ spl0_154
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1152,f556,f339,f1058,f546]) ).

fof(f1152,plain,
    ( ~ c3_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_21
    | ~ spl0_65 ),
    inference(resolution,[],[f340,f558]) ).

fof(f558,plain,
    ( c0_1(a343)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f1143,plain,
    ( ~ spl0_63
    | ~ spl0_154
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1140,f551,f331,f1058,f546]) ).

fof(f1140,plain,
    ( ~ c3_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(resolution,[],[f332,f553]) ).

fof(f1122,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1121,f951,f369,f946,f956]) ).

fof(f956,plain,
    ( spl0_140
  <=> c0_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f946,plain,
    ( spl0_138
  <=> c2_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f369,plain,
    ( spl0_28
  <=> ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c0_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f951,plain,
    ( spl0_139
  <=> c1_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1121,plain,
    ( c2_1(a325)
    | ~ c0_1(a325)
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(resolution,[],[f953,f370]) ).

fof(f370,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f953,plain,
    ( c1_1(a325)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f1111,plain,
    ( ~ spl0_158
    | spl0_102
    | ~ spl0_26
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1106,f764,f359,f754,f1108]) ).

fof(f359,plain,
    ( spl0_26
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1106,plain,
    ( c3_1(a348)
    | ~ c2_1(a348)
    | ~ spl0_26
    | ~ spl0_104 ),
    inference(resolution,[],[f766,f360]) ).

fof(f360,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c3_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f1104,plain,
    ( ~ spl0_157
    | spl0_126
    | ~ spl0_34
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1095,f892,f396,f882,f1101]) ).

fof(f1095,plain,
    ( c1_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_34
    | ~ spl0_128 ),
    inference(resolution,[],[f397,f894]) ).

fof(f1099,plain,
    ( ~ spl0_136
    | spl0_135
    | ~ spl0_34
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1093,f1045,f396,f930,f935]) ).

fof(f1045,plain,
    ( spl0_153
  <=> c3_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1093,plain,
    ( c1_1(a326)
    | ~ c2_1(a326)
    | ~ spl0_34
    | ~ spl0_153 ),
    inference(resolution,[],[f397,f1047]) ).

fof(f1047,plain,
    ( c3_1(a326)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1092,plain,
    ( ~ spl0_156
    | spl0_72
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1089,f604,f392,f594,f1082]) ).

fof(f1089,plain,
    ( c2_1(a419)
    | ~ c3_1(a419)
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(resolution,[],[f393,f606]) ).

fof(f1085,plain,
    ( spl0_156
    | spl0_72
    | ~ spl0_31
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1077,f604,f382,f594,f1082]) ).

fof(f1077,plain,
    ( c2_1(a419)
    | c3_1(a419)
    | ~ spl0_31
    | ~ spl0_74 ),
    inference(resolution,[],[f383,f606]) ).

fof(f1080,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_31
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1076,f844,f382,f839,f834]) ).

fof(f834,plain,
    ( spl0_117
  <=> c3_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f839,plain,
    ( spl0_118
  <=> c2_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f844,plain,
    ( spl0_119
  <=> c0_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1076,plain,
    ( c2_1(a337)
    | c3_1(a337)
    | ~ spl0_31
    | ~ spl0_119 ),
    inference(resolution,[],[f383,f846]) ).

fof(f846,plain,
    ( c0_1(a337)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1073,plain,
    ( ~ spl0_71
    | spl0_150
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1065,f583,f369,f1013,f588]) ).

fof(f1065,plain,
    ( c2_1(a333)
    | ~ c0_1(a333)
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(resolution,[],[f370,f585]) ).

fof(f1067,plain,
    ( ~ spl0_134
    | spl0_152
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1062,f919,f369,f1027,f924]) ).

fof(f1062,plain,
    ( c2_1(a327)
    | ~ c0_1(a327)
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f370,f921]) ).

fof(f1061,plain,
    ( ~ spl0_63
    | spl0_154
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1056,f556,f359,f1058,f546]) ).

fof(f1056,plain,
    ( c3_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(resolution,[],[f558,f360]) ).

fof(f1054,plain,
    ( ~ spl0_100
    | spl0_99
    | ~ spl0_27
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1050,f748,f365,f738,f743]) ).

fof(f743,plain,
    ( spl0_100
  <=> c3_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f738,plain,
    ( spl0_99
  <=> c2_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f748,plain,
    ( spl0_101
  <=> c1_1(a349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1050,plain,
    ( c2_1(a349)
    | ~ c3_1(a349)
    | ~ spl0_27
    | ~ spl0_101 ),
    inference(resolution,[],[f366,f750]) ).

fof(f750,plain,
    ( c1_1(a349)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f1048,plain,
    ( ~ spl0_136
    | spl0_153
    | ~ spl0_26
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1043,f940,f359,f1045,f935]) ).

fof(f1043,plain,
    ( c3_1(a326)
    | ~ c2_1(a326)
    | ~ spl0_26
    | ~ spl0_137 ),
    inference(resolution,[],[f942,f360]) ).

fof(f1041,plain,
    ( ~ spl0_152
    | spl0_132
    | ~ spl0_26
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1036,f924,f359,f914,f1027]) ).

fof(f1036,plain,
    ( c3_1(a327)
    | ~ c2_1(a327)
    | ~ spl0_26
    | ~ spl0_134 ),
    inference(resolution,[],[f360,f926]) ).

fof(f1035,plain,
    ( ~ spl0_152
    | spl0_132
    | ~ spl0_24
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1033,f919,f351,f914,f1027]) ).

fof(f1033,plain,
    ( c3_1(a327)
    | ~ c2_1(a327)
    | ~ spl0_24
    | ~ spl0_133 ),
    inference(resolution,[],[f352,f921]) ).

fof(f1021,plain,
    ( ~ spl0_97
    | ~ spl0_151
    | ~ spl0_19
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1010,f732,f331,f1018,f727]) ).

fof(f727,plain,
    ( spl0_97
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1010,plain,
    ( ~ c3_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_19
    | ~ spl0_98 ),
    inference(resolution,[],[f332,f734]) ).

fof(f1016,plain,
    ( ~ spl0_150
    | ~ spl0_69
    | ~ spl0_19
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1009,f583,f331,f578,f1013]) ).

fof(f1009,plain,
    ( ~ c3_1(a333)
    | ~ c2_1(a333)
    | ~ spl0_19
    | ~ spl0_70 ),
    inference(resolution,[],[f332,f585]) ).

fof(f960,plain,
    ( ~ spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f19,f327,f309]) ).

fof(f309,plain,
    ( spl0_14
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f327,plain,
    ( spl0_18
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X105] :
          ( ~ c0_1(X105)
          | c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c2_1(X120)
          | c3_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c3_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X124] :
          ( ~ c1_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X105] :
          ( ~ c0_1(X105)
          | c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c2_1(X120)
          | c3_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c3_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X124] :
          ( ~ c1_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp10
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp28
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp20
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp8
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp10
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp15
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp22
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | ~ c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp17
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp14
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp6
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp19
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c0_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp19
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp5
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp22
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp2
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp21
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c0_1(X50)
            | c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp20
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c0_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp12
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp4
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp12
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp15
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp12
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c0_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp26
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp28
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c0_1(X76)
            | c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp7
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp27
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c1_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp5
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp11
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c3_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | c2_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp7
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp9
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp26
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c2_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp8
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c0_1(X110)
            | c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp5
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp7
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp6
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c1_1(X116)
            | ~ c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( ndr1_0
         => ( c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp2
      | ! [X120] :
          ( ndr1_0
         => ( ~ c2_1(X120)
            | c3_1(X120)
            | c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c2_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( hskp1
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( hskp0
      | ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | c2_1(X124)
            | c0_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp7
          | hskp24 )
        & ( hskp11
          | hskp18
          | hskp17 )
        & ( hskp8
          | hskp24
          | hskp17 )
        & ( hskp1
          | hskp11
          | hskp25 )
        & ( hskp16
          | hskp25 )
        & ( hskp14
          | hskp17
          | hskp12 )
        & ( hskp8
          | hskp13
          | hskp4 )
        & ( hskp4
          | hskp5
          | hskp3 )
        & ( hskp2
          | hskp24
          | hskp26 )
        & ( hskp10
          | hskp3
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp16
          | hskp5
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp10
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp17
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp7
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp1
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp16
          | hskp4
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp10
          | hskp3
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp28
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp12
          | hskp13
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp20
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp8
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp8
          | hskp3
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp27
          | hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp10
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp15
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp22
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp17
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp22
          | hskp23
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp14
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp27
          | hskp26
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp6
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp19
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp19
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp5
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp22
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp2
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp22
          | hskp7
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp0
          | hskp19
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp16
          | hskp15
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp14
          | hskp5
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp21
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp11
          | hskp19
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | hskp17
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp4
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp12
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp15
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp14
          | hskp13
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp12
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp26
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp28
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp7
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp27
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp5
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp11
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c3_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c2_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp10
          | hskp5
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp7
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp9
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp26
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c2_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp8
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp5
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp7
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp6
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( hskp1
          | hskp5
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp4
          | hskp3
          | ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp2
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | c3_1(X120)
                | c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c2_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( hskp1
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( hskp0
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | c2_1(X124)
                | c0_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ( c2_1(a343)
            & c1_1(a343)
            & c0_1(a343)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a341)
            & c2_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & c0_1(a333)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a419)
            & ~ c1_1(a419)
            & c0_1(a419)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a401)
            & ~ c0_1(a401)
            & c1_1(a401)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a377)
            & c3_1(a377)
            & c1_1(a377)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a367)
            & ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a359)
            & ~ c0_1(a359)
            & c3_1(a359)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a355)
            & c2_1(a355)
            & c1_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & c1_1(a354)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a349)
            & c3_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a348)
            & ~ c1_1(a348)
            & c0_1(a348)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a347)
            & c3_1(a347)
            & c2_1(a347)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a345)
            & c3_1(a345)
            & c0_1(a345)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a338)
            & ~ c1_1(a338)
            & ~ c0_1(a338)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a337)
            & ~ c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a334)
            & ~ c0_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a332)
            & ~ c2_1(a332)
            & ~ c0_1(a332)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a329)
            & ~ c1_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a326)
            & c2_1(a326)
            & c0_1(a326)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a325)
            & c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a324)
            & ~ c1_1(a324)
            & ~ c0_1(a324)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c1_1(a323)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a322)
            & c3_1(a322)
            & c2_1(a322)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp24 )
        & ( hskp11
          | hskp18
          | hskp17 )
        & ( hskp8
          | hskp24
          | hskp17 )
        & ( hskp1
          | hskp11
          | hskp25 )
        & ( hskp16
          | hskp25 )
        & ( hskp14
          | hskp17
          | hskp12 )
        & ( hskp8
          | hskp13
          | hskp4 )
        & ( hskp4
          | hskp5
          | hskp3 )
        & ( hskp2
          | hskp24
          | hskp26 )
        & ( hskp10
          | hskp3
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp16
          | hskp5
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp10
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c1_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c1_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp24
          | hskp17
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp7
          | hskp28
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp1
          | hskp2
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c0_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp16
          | hskp4
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp10
          | hskp3
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp28
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp12
          | hskp13
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp20
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp8
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp8
          | hskp3
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp27
          | hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp10
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp15
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp17
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp22
          | hskp23
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp27
          | hskp26
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp6
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp19
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp5
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp22
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp2
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp22
          | hskp7
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp0
          | hskp19
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp16
          | hskp15
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp14
          | hskp5
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp21
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp20
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp12
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp11
          | hskp19
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp18
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp12
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp26
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp28
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp7
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp5
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp11
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp10
          | hskp5
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp7
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp6
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp5
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp4
          | hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a343)
            & c1_1(a343)
            & c0_1(a343)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a341)
            & c2_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & c0_1(a333)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a419)
            & ~ c1_1(a419)
            & c0_1(a419)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a401)
            & ~ c0_1(a401)
            & c1_1(a401)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a377)
            & c3_1(a377)
            & c1_1(a377)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a367)
            & ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a359)
            & ~ c0_1(a359)
            & c3_1(a359)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a355)
            & c2_1(a355)
            & c1_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & c1_1(a354)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a349)
            & c3_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a348)
            & ~ c1_1(a348)
            & c0_1(a348)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a347)
            & c3_1(a347)
            & c2_1(a347)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a345)
            & c3_1(a345)
            & c0_1(a345)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a338)
            & ~ c1_1(a338)
            & ~ c0_1(a338)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a337)
            & ~ c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a334)
            & ~ c0_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a332)
            & ~ c2_1(a332)
            & ~ c0_1(a332)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a329)
            & ~ c1_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a326)
            & c2_1(a326)
            & c0_1(a326)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a325)
            & c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a324)
            & ~ c1_1(a324)
            & ~ c0_1(a324)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c1_1(a323)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a322)
            & c3_1(a322)
            & c2_1(a322)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp24 )
      & ( hskp11
        | hskp18
        | hskp17 )
      & ( hskp8
        | hskp24
        | hskp17 )
      & ( hskp1
        | hskp11
        | hskp25 )
      & ( hskp16
        | hskp25 )
      & ( hskp14
        | hskp17
        | hskp12 )
      & ( hskp8
        | hskp13
        | hskp4 )
      & ( hskp4
        | hskp5
        | hskp3 )
      & ( hskp2
        | hskp24
        | hskp26 )
      & ( hskp10
        | hskp3
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp16
        | hskp5
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp10
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c1_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c1_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp24
        | hskp17
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp7
        | hskp28
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp1
        | hskp2
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c0_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp16
        | hskp4
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp10
        | hskp3
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp28
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp12
        | hskp13
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp20
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c1_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp8
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp8
        | hskp3
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp27
        | hskp28
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp10
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp15
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp17
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp22
        | hskp23
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp27
        | hskp26
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp6
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp19
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp5
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp22
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp2
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp22
        | hskp7
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp0
        | hskp19
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp16
        | hskp15
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp14
        | hskp5
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp21
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp20
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp12
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp11
        | hskp19
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp18
        | hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp12
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp9
        | hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp15
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp14
        | hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp12
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp26
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c0_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp28
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c0_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp7
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp27
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c3_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp5
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c0_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp11
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp10
        | hskp5
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp7
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp9
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp26
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c0_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp7
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp6
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp5
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp4
        | hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a343)
          & c1_1(a343)
          & c0_1(a343)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a341)
          & c2_1(a341)
          & c1_1(a341)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a333)
          & c1_1(a333)
          & c0_1(a333)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a419)
          & ~ c1_1(a419)
          & c0_1(a419)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a401)
          & ~ c0_1(a401)
          & c1_1(a401)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a377)
          & c3_1(a377)
          & c1_1(a377)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a367)
          & ~ c1_1(a367)
          & c3_1(a367)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a359)
          & ~ c0_1(a359)
          & c3_1(a359)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a358)
          & ~ c0_1(a358)
          & c2_1(a358)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a355)
          & c2_1(a355)
          & c1_1(a355)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a354)
          & ~ c2_1(a354)
          & c1_1(a354)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a353)
          & c2_1(a353)
          & c1_1(a353)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a349)
          & c3_1(a349)
          & c1_1(a349)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a348)
          & ~ c1_1(a348)
          & c0_1(a348)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a347)
          & c3_1(a347)
          & c2_1(a347)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a346)
          & c2_1(a346)
          & c0_1(a346)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a345)
          & c3_1(a345)
          & c0_1(a345)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a338)
          & ~ c1_1(a338)
          & ~ c0_1(a338)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a337)
          & ~ c2_1(a337)
          & c0_1(a337)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a334)
          & ~ c0_1(a334)
          & c2_1(a334)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a332)
          & ~ c2_1(a332)
          & ~ c0_1(a332)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a330)
          & ~ c0_1(a330)
          & c3_1(a330)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a329)
          & ~ c1_1(a329)
          & c2_1(a329)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a327)
          & c1_1(a327)
          & c0_1(a327)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a326)
          & c2_1(a326)
          & c0_1(a326)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a325)
          & c1_1(a325)
          & c0_1(a325)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a324)
          & ~ c1_1(a324)
          & ~ c0_1(a324)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a323)
          & ~ c2_1(a323)
          & ~ c1_1(a323)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a322)
          & c3_1(a322)
          & c2_1(a322)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.RTvcvtCdC3/Vampire---4.8_12076',co1) ).

fof(f959,plain,
    ( ~ spl0_14
    | spl0_140 ),
    inference(avatar_split_clause,[],[f20,f956,f309]) ).

fof(f20,plain,
    ( c0_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_14
    | spl0_139 ),
    inference(avatar_split_clause,[],[f21,f951,f309]) ).

fof(f21,plain,
    ( c1_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_14
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f22,f946,f309]) ).

fof(f22,plain,
    ( ~ c2_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_12
    | spl0_18 ),
    inference(avatar_split_clause,[],[f23,f327,f300]) ).

fof(f300,plain,
    ( spl0_12
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_12
    | spl0_137 ),
    inference(avatar_split_clause,[],[f24,f940,f300]) ).

fof(f24,plain,
    ( c0_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_12
    | spl0_136 ),
    inference(avatar_split_clause,[],[f25,f935,f300]) ).

fof(f25,plain,
    ( c2_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_12
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f26,f930,f300]) ).

fof(f26,plain,
    ( ~ c1_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_15
    | spl0_18 ),
    inference(avatar_split_clause,[],[f27,f327,f313]) ).

fof(f313,plain,
    ( spl0_15
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_15
    | spl0_134 ),
    inference(avatar_split_clause,[],[f28,f924,f313]) ).

fof(f28,plain,
    ( c0_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_15
    | spl0_133 ),
    inference(avatar_split_clause,[],[f29,f919,f313]) ).

fof(f29,plain,
    ( c1_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_15
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f30,f914,f313]) ).

fof(f30,plain,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_2
    | spl0_128 ),
    inference(avatar_split_clause,[],[f36,f892,f254]) ).

fof(f254,plain,
    ( spl0_2
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f36,plain,
    ( c3_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f37,f887,f254]) ).

fof(f37,plain,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f38,f882,f254]) ).

fof(f38,plain,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f40,f876,f272]) ).

fof(f272,plain,
    ( spl0_6
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f40,plain,
    ( ~ c0_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_6
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f41,f871,f272]) ).

fof(f41,plain,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_6
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f42,f866,f272]) ).

fof(f42,plain,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_20
    | spl0_119 ),
    inference(avatar_split_clause,[],[f48,f844,f334]) ).

fof(f334,plain,
    ( spl0_20
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f48,plain,
    ( c0_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_20
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f49,f839,f334]) ).

fof(f49,plain,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_20
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f50,f834,f334]) ).

fof(f50,plain,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_10
    | spl0_113 ),
    inference(avatar_split_clause,[],[f56,f812,f291]) ).

fof(f291,plain,
    ( spl0_10
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f56,plain,
    ( c0_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_10
    | spl0_112 ),
    inference(avatar_split_clause,[],[f57,f807,f291]) ).

fof(f57,plain,
    ( c3_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_10
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f58,f802,f291]) ).

fof(f58,plain,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_13
    | spl0_110 ),
    inference(avatar_split_clause,[],[f60,f796,f304]) ).

fof(f304,plain,
    ( spl0_13
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f60,plain,
    ( c0_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_13
    | spl0_109 ),
    inference(avatar_split_clause,[],[f61,f791,f304]) ).

fof(f61,plain,
    ( c2_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f62,f786,f304]) ).

fof(f62,plain,
    ( ~ c3_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_11
    | spl0_107 ),
    inference(avatar_split_clause,[],[f64,f780,f295]) ).

fof(f295,plain,
    ( spl0_11
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f64,plain,
    ( c2_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_11
    | spl0_106 ),
    inference(avatar_split_clause,[],[f65,f775,f295]) ).

fof(f65,plain,
    ( c3_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_11
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f66,f770,f295]) ).

fof(f66,plain,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_35
    | spl0_104 ),
    inference(avatar_split_clause,[],[f68,f764,f399]) ).

fof(f399,plain,
    ( spl0_35
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f68,plain,
    ( c0_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_35
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f69,f759,f399]) ).

fof(f69,plain,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_35
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f70,f754,f399]) ).

fof(f70,plain,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_9
    | spl0_101 ),
    inference(avatar_split_clause,[],[f72,f748,f286]) ).

fof(f286,plain,
    ( spl0_9
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f72,plain,
    ( c1_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( ~ spl0_9
    | spl0_100 ),
    inference(avatar_split_clause,[],[f73,f743,f286]) ).

fof(f73,plain,
    ( c3_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_9
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f74,f738,f286]) ).

fof(f74,plain,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_3
    | spl0_98 ),
    inference(avatar_split_clause,[],[f76,f732,f259]) ).

fof(f259,plain,
    ( spl0_3
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f76,plain,
    ( c1_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_3
    | spl0_97 ),
    inference(avatar_split_clause,[],[f77,f727,f259]) ).

fof(f77,plain,
    ( c2_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_3
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f78,f722,f259]) ).

fof(f78,plain,
    ( ~ c0_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f671,plain,
    ( ~ spl0_48
    | spl0_86 ),
    inference(avatar_split_clause,[],[f92,f668,f461]) ).

fof(f461,plain,
    ( spl0_48
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f92,plain,
    ( c3_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_48
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f93,f663,f461]) ).

fof(f93,plain,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_48
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f94,f658,f461]) ).

fof(f94,plain,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_36
    | spl0_83 ),
    inference(avatar_split_clause,[],[f96,f652,f404]) ).

fof(f404,plain,
    ( spl0_36
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f96,plain,
    ( c3_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_36
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f97,f647,f404]) ).

fof(f97,plain,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_36
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f98,f642,f404]) ).

fof(f98,plain,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_1
    | spl0_77 ),
    inference(avatar_split_clause,[],[f104,f620,f250]) ).

fof(f250,plain,
    ( spl0_1
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f104,plain,
    ( c1_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_1
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f105,f615,f250]) ).

fof(f105,plain,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_1
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f106,f610,f250]) ).

fof(f106,plain,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_7
    | spl0_74 ),
    inference(avatar_split_clause,[],[f108,f604,f277]) ).

fof(f277,plain,
    ( spl0_7
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f108,plain,
    ( c0_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_7
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f109,f599,f277]) ).

fof(f109,plain,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_7
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f110,f594,f277]) ).

fof(f110,plain,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_16
    | spl0_71 ),
    inference(avatar_split_clause,[],[f112,f588,f318]) ).

fof(f318,plain,
    ( spl0_16
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f112,plain,
    ( c0_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f113,f583,f318]) ).

fof(f113,plain,
    ( c1_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f114,f578,f318]) ).

fof(f114,plain,
    ( c3_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_32
    | spl0_68 ),
    inference(avatar_split_clause,[],[f116,f572,f386]) ).

fof(f386,plain,
    ( spl0_32
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f116,plain,
    ( c1_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_32
    | spl0_67 ),
    inference(avatar_split_clause,[],[f117,f567,f386]) ).

fof(f117,plain,
    ( c2_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_32
    | spl0_66 ),
    inference(avatar_split_clause,[],[f118,f562,f386]) ).

fof(f118,plain,
    ( c3_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( ~ spl0_25
    | spl0_65 ),
    inference(avatar_split_clause,[],[f120,f556,f354]) ).

fof(f354,plain,
    ( spl0_25
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f120,plain,
    ( c0_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f121,f551,f354]) ).

fof(f121,plain,
    ( c1_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( ~ spl0_25
    | spl0_63 ),
    inference(avatar_split_clause,[],[f122,f546,f354]) ).

fof(f122,plain,
    ( c2_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( spl0_59
    | ~ spl0_18
    | spl0_45
    | spl0_16 ),
    inference(avatar_split_clause,[],[f211,f318,f447,f327,f521]) ).

fof(f211,plain,
    ! [X106,X105] :
      ( hskp26
      | ~ c0_1(X105)
      | c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | c1_1(X106)
      | c0_1(X106) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X106,X105] :
      ( hskp26
      | ~ c0_1(X105)
      | c2_1(X105)
      | c1_1(X105)
      | ~ ndr1_0
      | ~ c3_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_59
    | ~ spl0_18
    | spl0_23
    | spl0_2 ),
    inference(avatar_split_clause,[],[f213,f254,f347,f327,f521]) ).

fof(f213,plain,
    ! [X101,X102] :
      ( hskp7
      | ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X101,X102] :
      ( hskp7
      | ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_57
    | spl0_39
    | ~ spl0_18
    | spl0_31 ),
    inference(avatar_split_clause,[],[f215,f382,f327,f419,f508]) ).

fof(f215,plain,
    ! [X96,X97,X95] :
      ( ~ c0_1(X95)
      | c3_1(X95)
      | c2_1(X95)
      | ~ ndr1_0
      | ~ c2_1(X96)
      | ~ c0_1(X96)
      | c1_1(X96)
      | ~ c1_1(X97)
      | c2_1(X97)
      | c0_1(X97) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X96,X97,X95] :
      ( ~ c0_1(X95)
      | c3_1(X95)
      | c2_1(X95)
      | ~ ndr1_0
      | ~ c2_1(X96)
      | ~ c0_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | ~ c1_1(X97)
      | c2_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_57
    | ~ spl0_18
    | spl0_34
    | spl0_15 ),
    inference(avatar_split_clause,[],[f216,f313,f396,f327,f508]) ).

fof(f216,plain,
    ! [X94,X93] :
      ( hskp5
      | ~ c3_1(X93)
      | ~ c2_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | ~ c1_1(X94)
      | c2_1(X94)
      | c0_1(X94) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X94,X93] :
      ( hskp5
      | ~ c3_1(X93)
      | ~ c2_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | ~ c1_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_57
    | spl0_33
    | ~ spl0_18
    | spl0_21 ),
    inference(avatar_split_clause,[],[f217,f339,f327,f392,f508]) ).

fof(f217,plain,
    ! [X90,X91,X92] :
      ( ~ c3_1(X90)
      | ~ c2_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | ~ c0_1(X91)
      | c2_1(X91)
      | ~ c1_1(X92)
      | c2_1(X92)
      | c0_1(X92) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X90,X91,X92] :
      ( ~ c3_1(X90)
      | ~ c2_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | ~ c0_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | ~ c1_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_57
    | spl0_24
    | ~ spl0_18
    | spl0_23 ),
    inference(avatar_split_clause,[],[f218,f347,f327,f351,f508]) ).

fof(f218,plain,
    ! [X88,X89,X87] :
      ( ~ c2_1(X87)
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | ~ c1_1(X88)
      | c3_1(X88)
      | ~ c1_1(X89)
      | c2_1(X89)
      | c0_1(X89) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X88,X89,X87] :
      ( ~ c2_1(X87)
      | ~ c1_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | ~ c1_1(X88)
      | c3_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | c2_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( spl0_56
    | ~ spl0_18
    | spl0_54
    | spl0_32 ),
    inference(avatar_split_clause,[],[f220,f386,f493,f327,f501]) ).

fof(f220,plain,
    ! [X83,X84] :
      ( hskp27
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X83,X84] :
      ( hskp27
      | ~ c1_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_56
    | ~ spl0_18
    | spl0_33
    | spl0_25 ),
    inference(avatar_split_clause,[],[f223,f354,f392,f327,f501]) ).

fof(f223,plain,
    ! [X76,X77] :
      ( hskp28
      | ~ c3_1(X76)
      | ~ c0_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X76,X77] :
      ( hskp28
      | ~ c3_1(X76)
      | ~ c0_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_54
    | ~ spl0_18
    | spl0_33
    | spl0_16 ),
    inference(avatar_split_clause,[],[f225,f318,f392,f327,f493]) ).

fof(f225,plain,
    ! [X72,X71] :
      ( hskp26
      | ~ c3_1(X71)
      | ~ c0_1(X71)
      | c2_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c3_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X72,X71] :
      ( hskp26
      | ~ c3_1(X71)
      | ~ c0_1(X71)
      | c2_1(X71)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c3_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( spl0_49
    | ~ spl0_18
    | spl0_26
    | spl0_12 ),
    inference(avatar_split_clause,[],[f230,f300,f359,f327,f468]) ).

fof(f230,plain,
    ! [X58,X59] :
      ( hskp4
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c2_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X58,X59] :
      ( hskp4
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | ~ c3_1(X59)
      | ~ c2_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_47
    | ~ spl0_18
    | spl0_44
    | spl0_10 ),
    inference(avatar_split_clause,[],[f231,f291,f442,f327,f456]) ).

fof(f231,plain,
    ! [X54,X55] :
      ( hskp12
      | ~ c3_1(X54)
      | c2_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X54,X55] :
      ( hskp12
      | ~ c3_1(X54)
      | c2_1(X54)
      | c1_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | c2_1(X55)
      | c1_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_47
    | ~ spl0_18
    | spl0_30
    | spl0_48 ),
    inference(avatar_split_clause,[],[f233,f461,f378,f327,f456]) ).

fof(f233,plain,
    ! [X50,X51] :
      ( hskp21
      | ~ c1_1(X50)
      | ~ c0_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | c3_1(X51)
      | c2_1(X51)
      | c1_1(X51) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X50,X51] :
      ( hskp21
      | ~ c1_1(X50)
      | ~ c0_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | c3_1(X51)
      | c2_1(X51)
      | c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_18
    | spl0_47
    | spl0_15
    | spl0_11 ),
    inference(avatar_split_clause,[],[f161,f295,f313,f456,f327]) ).

fof(f161,plain,
    ! [X49] :
      ( hskp14
      | hskp5
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( ~ spl0_18
    | spl0_47
    | spl0_35
    | spl0_9 ),
    inference(avatar_split_clause,[],[f162,f286,f399,f456,f327]) ).

fof(f162,plain,
    ! [X48] :
      ( hskp16
      | hskp15
      | c3_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_44
    | spl0_27
    | ~ spl0_18
    | spl0_23 ),
    inference(avatar_split_clause,[],[f235,f347,f327,f365,f442]) ).

fof(f235,plain,
    ! [X41,X42,X43] :
      ( ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c2_1(X42)
      | ~ c3_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X41,X42,X43] :
      ( ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_43
    | ~ spl0_18
    | spl0_31
    | spl0_36 ),
    inference(avatar_split_clause,[],[f236,f404,f382,f327,f438]) ).

fof(f236,plain,
    ! [X40,X39] :
      ( hskp22
      | ~ c0_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c0_1(X40)
      | c3_1(X40)
      | c1_1(X40) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X40,X39] :
      ( hskp22
      | ~ c0_1(X39)
      | c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c0_1(X40)
      | c3_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_42
    | ~ spl0_18
    | spl0_39
    | spl0_15 ),
    inference(avatar_split_clause,[],[f237,f313,f419,f327,f433]) ).

fof(f237,plain,
    ! [X38,X37] :
      ( hskp5
      | ~ c2_1(X37)
      | ~ c0_1(X37)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | c3_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X38,X37] :
      ( hskp5
      | ~ c2_1(X37)
      | ~ c0_1(X37)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( ~ spl0_18
    | spl0_39
    | spl0_16
    | spl0_32 ),
    inference(avatar_split_clause,[],[f172,f386,f318,f419,f327]) ).

fof(f172,plain,
    ! [X30] :
      ( hskp27
      | hskp26
      | ~ c2_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_34
    | ~ spl0_18
    | spl0_28
    | spl0_3 ),
    inference(avatar_split_clause,[],[f242,f259,f369,f327,f396]) ).

fof(f242,plain,
    ! [X26,X25] :
      ( hskp17
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X26,X25] :
      ( hskp17
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f407,plain,
    ( spl0_34
    | ~ spl0_18
    | spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f243,f404,f331,f327,f396]) ).

fof(f243,plain,
    ! [X24,X23] :
      ( hskp22
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X24,X23] :
      ( hskp22
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X24)
      | ~ c2_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( ~ spl0_18
    | spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f177,f399,f396,f327]) ).

fof(f177,plain,
    ! [X22] :
      ( hskp15
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( spl0_31
    | spl0_33
    | ~ spl0_18
    | spl0_21 ),
    inference(avatar_split_clause,[],[f244,f339,f327,f392,f382]) ).

fof(f244,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X21,X19,X20] :
      ( ~ c3_1(X19)
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( ~ spl0_18
    | spl0_31
    | spl0_14
    | spl0_6 ),
    inference(avatar_split_clause,[],[f181,f272,f309,f382,f327]) ).

fof(f181,plain,
    ! [X15] :
      ( hskp8
      | hskp3
      | ~ c0_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f380,plain,
    ( spl0_28
    | ~ spl0_18
    | spl0_30
    | spl0_6 ),
    inference(avatar_split_clause,[],[f246,f272,f378,f327,f369]) ).

fof(f246,plain,
    ! [X14,X13] :
      ( hskp8
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X14,X13] :
      ( hskp8
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_18
    | spl0_28
    | spl0_13
    | spl0_10 ),
    inference(avatar_split_clause,[],[f184,f291,f304,f369,f327]) ).

fof(f184,plain,
    ! [X10] :
      ( hskp12
      | hskp13
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f367,plain,
    ( ~ spl0_18
    | spl0_27
    | spl0_25 ),
    inference(avatar_split_clause,[],[f185,f354,f365,f327]) ).

fof(f185,plain,
    ! [X9] :
      ( hskp28
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( ~ spl0_18
    | spl0_26
    | spl0_14
    | spl0_20 ),
    inference(avatar_split_clause,[],[f186,f334,f309,f359,f327]) ).

fof(f186,plain,
    ! [X8] :
      ( hskp10
      | hskp3
      | ~ c2_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f357,plain,
    ( ~ spl0_18
    | spl0_24
    | spl0_25
    | spl0_2 ),
    inference(avatar_split_clause,[],[f189,f254,f354,f351,f327]) ).

fof(f189,plain,
    ! [X5] :
      ( hskp7
      | hskp28
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f345,plain,
    ( spl0_22
    | ~ spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f248,f334,f331,f327,f343]) ).

fof(f248,plain,
    ! [X2,X3] :
      ( hskp10
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X2,X3] :
      ( hskp10
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( ~ spl0_18
    | spl0_21
    | spl0_15
    | spl0_9 ),
    inference(avatar_split_clause,[],[f192,f286,f313,f339,f327]) ).

fof(f192,plain,
    ! [X1] :
      ( hskp16
      | hskp5
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f316,plain,
    ( spl0_14
    | spl0_15
    | spl0_12 ),
    inference(avatar_split_clause,[],[f195,f300,f313,f309]) ).

fof(f195,plain,
    ( hskp4
    | hskp5
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    ( spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f198,f286,f277]) ).

fof(f198,plain,
    ( hskp16
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f257,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f254,f250]) ).

fof(f202,plain,
    ( hskp7
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:16:18 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.RTvcvtCdC3/Vampire---4.8_12076
% 0.57/0.76  % (12336)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)
% 0.57/0.76  % (12332)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (12334)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)
% 0.57/0.76  % (12331)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)
% 0.57/0.76  % (12333)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)
% 0.57/0.76  % (12335)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)
% 0.57/0.77  % (12330)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)
% 0.57/0.77  % (12337)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)
% 0.57/0.78  % (12331)First to succeed.
% 0.57/0.78  % (12333)Instruction limit reached!
% 0.57/0.78  % (12333)------------------------------
% 0.57/0.78  % (12333)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (12333)Termination reason: Unknown
% 0.57/0.78  % (12333)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (12333)Memory used [KB]: 2244
% 0.57/0.78  % (12333)Time elapsed: 0.020 s
% 0.57/0.78  % (12333)Instructions burned: 33 (million)
% 0.57/0.78  % (12333)------------------------------
% 0.57/0.78  % (12333)------------------------------
% 0.57/0.78  % (12334)Instruction limit reached!
% 0.57/0.78  % (12334)------------------------------
% 0.57/0.78  % (12334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (12334)Termination reason: Unknown
% 0.57/0.78  % (12334)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (12334)Memory used [KB]: 2143
% 0.57/0.78  % (12334)Time elapsed: 0.021 s
% 0.57/0.78  % (12334)Instructions burned: 34 (million)
% 0.57/0.78  % (12334)------------------------------
% 0.57/0.78  % (12334)------------------------------
% 0.57/0.79  % (12330)Instruction limit reached!
% 0.57/0.79  % (12330)------------------------------
% 0.57/0.79  % (12330)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79  % (12330)Termination reason: Unknown
% 0.57/0.79  % (12330)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (12330)Memory used [KB]: 2026
% 0.57/0.79  % (12330)Time elapsed: 0.023 s
% 0.57/0.79  % (12330)Instructions burned: 34 (million)
% 0.57/0.79  % (12330)------------------------------
% 0.57/0.79  % (12330)------------------------------
% 0.65/0.79  % (12338)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)
% 0.65/0.79  % (12340)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 (2995ds/208Mi)
% 0.65/0.79  % (12339)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)
% 0.65/0.79  % (12335)Instruction limit reached!
% 0.65/0.79  % (12335)------------------------------
% 0.65/0.79  % (12335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.79  % (12335)Termination reason: Unknown
% 0.65/0.79  % (12335)Termination phase: Saturation
% 0.65/0.79  % (12336)Instruction limit reached!
% 0.65/0.79  % (12336)------------------------------
% 0.65/0.79  % (12336)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.79  % (12336)Termination reason: Unknown
% 0.65/0.79  % (12336)Termination phase: Saturation
% 0.65/0.79  
% 0.65/0.79  % (12336)Memory used [KB]: 3362
% 0.65/0.79  % (12336)Time elapsed: 0.029 s
% 0.65/0.79  % (12336)Instructions burned: 83 (million)
% 0.65/0.79  % (12336)------------------------------
% 0.65/0.79  % (12336)------------------------------
% 0.65/0.79  
% 0.65/0.79  % (12335)Memory used [KB]: 2302
% 0.65/0.79  % (12335)Time elapsed: 0.028 s
% 0.65/0.79  % (12335)Instructions burned: 46 (million)
% 0.65/0.79  % (12335)------------------------------
% 0.65/0.79  % (12335)------------------------------
% 0.65/0.79  % (12341)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 (2995ds/52Mi)
% 0.65/0.79  % (12331)Refutation found. Thanks to Tanya!
% 0.65/0.79  % SZS status Theorem for Vampire---4
% 0.65/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.80  % (12331)------------------------------
% 0.65/0.80  % (12331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.80  % (12331)Termination reason: Refutation
% 0.65/0.80  
% 0.65/0.80  % (12331)Memory used [KB]: 1811
% 0.65/0.80  % (12331)Time elapsed: 0.030 s
% 0.65/0.80  % (12331)Instructions burned: 54 (million)
% 0.65/0.80  % (12331)------------------------------
% 0.65/0.80  % (12331)------------------------------
% 0.65/0.80  % (12326)Success in time 0.428 s
% 0.65/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------