TSTP Solution File: SYN471+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN471+1 : TPTP v8.2.0. 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 : n026.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 : Tue May 21 08:22:56 EDT 2024

% Result   : Theorem 0.68s 0.76s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  168
% Syntax   : Number of formulae    :  746 (   1 unt;   0 def)
%            Number of atoms       : 6866 (   0 equ)
%            Maximal formula atoms :  718 (   9 avg)
%            Number of connectives : 9343 (3223   ~;4299   |;1194   &)
%                                         ( 167 <=>; 460  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  110 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  205 ( 204 usr; 201 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  898 ( 898   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2179,plain,
    $false,
    inference(avatar_sat_refutation,[],[f266,f279,f280,f289,f302,f307,f329,f341,f365,f369,f370,f375,f383,f384,f393,f401,f407,f411,f419,f420,f421,f425,f431,f436,f440,f448,f452,f472,f473,f474,f478,f483,f484,f488,f489,f490,f498,f502,f503,f507,f508,f509,f515,f521,f522,f523,f537,f538,f539,f540,f546,f551,f556,f562,f567,f572,f578,f583,f588,f594,f599,f604,f605,f626,f631,f636,f642,f647,f652,f658,f663,f668,f690,f695,f700,f706,f711,f716,f722,f727,f732,f738,f743,f748,f754,f759,f764,f770,f775,f780,f786,f791,f796,f802,f812,f818,f823,f828,f834,f839,f844,f850,f855,f860,f866,f871,f876,f882,f887,f892,f893,f898,f903,f908,f914,f919,f924,f930,f935,f940,f951,f956,f962,f967,f972,f978,f983,f988,f994,f999,f1004,f1021,f1026,f1031,f1036,f1042,f1047,f1052,f1058,f1083,f1084,f1094,f1095,f1110,f1111,f1120,f1149,f1159,f1178,f1255,f1262,f1289,f1298,f1299,f1300,f1317,f1325,f1338,f1340,f1341,f1376,f1378,f1403,f1408,f1411,f1416,f1419,f1428,f1435,f1436,f1455,f1468,f1499,f1500,f1514,f1526,f1548,f1586,f1590,f1591,f1602,f1611,f1613,f1614,f1633,f1653,f1654,f1655,f1676,f1679,f1684,f1685,f1710,f1713,f1718,f1722,f1723,f1740,f1745,f1748,f1756,f1779,f1795,f1802,f1832,f1835,f1840,f1841,f1842,f1849,f1885,f1886,f1887,f1888,f1928,f1943,f1972,f1974,f2002,f2004,f2065,f2067,f2102,f2104,f2105,f2107,f2132,f2136,f2164,f2172,f2174,f2175,f2176,f2178]) ).

fof(f2178,plain,
    ( ~ spl0_180
    | spl0_141
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2081,f953,f427,f948,f1544]) ).

fof(f1544,plain,
    ( spl0_180
  <=> c0_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f948,plain,
    ( spl0_141
  <=> c1_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f427,plain,
    ( spl0_42
  <=> ! [X27] :
        ( ~ c3_1(X27)
        | c1_1(X27)
        | ~ c0_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f953,plain,
    ( spl0_142
  <=> c3_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2081,plain,
    ( c1_1(a600)
    | ~ c0_1(a600)
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(resolution,[],[f428,f955]) ).

fof(f955,plain,
    ( c3_1(a600)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f428,plain,
    ( ! [X27] :
        ( ~ c3_1(X27)
        | c1_1(X27)
        | ~ c0_1(X27) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f2176,plain,
    ( ~ spl0_163
    | ~ spl0_97
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2021,f708,f343,f713,f1075]) ).

fof(f1075,plain,
    ( spl0_163
  <=> c2_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f713,plain,
    ( spl0_97
  <=> c0_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f343,plain,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f708,plain,
    ( spl0_96
  <=> c3_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2021,plain,
    ( ~ c0_1(a631)
    | ~ c2_1(a631)
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(resolution,[],[f344,f710]) ).

fof(f710,plain,
    ( c3_1(a631)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f344,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f2175,plain,
    ( ~ spl0_97
    | spl0_95
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2089,f708,f427,f703,f713]) ).

fof(f703,plain,
    ( spl0_95
  <=> c1_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2089,plain,
    ( c1_1(a631)
    | ~ c0_1(a631)
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(resolution,[],[f428,f710]) ).

fof(f2174,plain,
    ( spl0_80
    | spl0_82
    | ~ spl0_55
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2171,f1635,f486,f633,f623]) ).

fof(f623,plain,
    ( spl0_80
  <=> c3_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f633,plain,
    ( spl0_82
  <=> c0_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f486,plain,
    ( spl0_55
  <=> ! [X58] :
        ( ~ c2_1(X58)
        | c0_1(X58)
        | c3_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1635,plain,
    ( spl0_183
  <=> c2_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f2171,plain,
    ( c0_1(a667)
    | c3_1(a667)
    | ~ spl0_55
    | ~ spl0_183 ),
    inference(resolution,[],[f487,f1637]) ).

fof(f1637,plain,
    ( c2_1(a667)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1635]) ).

fof(f487,plain,
    ( ! [X58] :
        ( ~ c2_1(X58)
        | c0_1(X58)
        | c3_1(X58) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f2172,plain,
    ( spl0_122
    | spl0_168
    | ~ spl0_55
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2169,f857,f486,f1185,f847]) ).

fof(f847,plain,
    ( spl0_122
  <=> c3_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1185,plain,
    ( spl0_168
  <=> c0_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f857,plain,
    ( spl0_124
  <=> c2_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2169,plain,
    ( c0_1(a609)
    | c3_1(a609)
    | ~ spl0_55
    | ~ spl0_124 ),
    inference(resolution,[],[f487,f859]) ).

fof(f859,plain,
    ( c2_1(a609)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f2164,plain,
    ( ~ spl0_157
    | spl0_188
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2159,f1028,f399,f1775,f1033]) ).

fof(f1033,plain,
    ( spl0_157
  <=> c0_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1775,plain,
    ( spl0_188
  <=> c2_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f399,plain,
    ( spl0_36
  <=> ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | ~ c0_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1028,plain,
    ( spl0_156
  <=> c1_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2159,plain,
    ( c2_1(a594)
    | ~ c0_1(a594)
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(resolution,[],[f400,f1030]) ).

fof(f1030,plain,
    ( c1_1(a594)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f400,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | ~ c0_1(X14) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f2136,plain,
    ( spl0_155
    | spl0_188
    | ~ spl0_39
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2135,f1033,f413,f1775,f1023]) ).

fof(f1023,plain,
    ( spl0_155
  <=> c3_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f413,plain,
    ( spl0_39
  <=> ! [X21] :
        ( ~ c0_1(X21)
        | c2_1(X21)
        | c3_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2135,plain,
    ( c2_1(a594)
    | c3_1(a594)
    | ~ spl0_39
    | ~ spl0_157 ),
    inference(resolution,[],[f1035,f414]) ).

fof(f414,plain,
    ( ! [X21] :
        ( ~ c0_1(X21)
        | c2_1(X21)
        | c3_1(X21) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1035,plain,
    ( c0_1(a594)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f2132,plain,
    ( ~ spl0_188
    | ~ spl0_157
    | ~ spl0_24
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2131,f1028,f347,f1033,f1775]) ).

fof(f347,plain,
    ( spl0_24
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2131,plain,
    ( ~ c0_1(a594)
    | ~ c2_1(a594)
    | ~ spl0_24
    | ~ spl0_156 ),
    inference(resolution,[],[f1030,f348]) ).

fof(f348,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f2107,plain,
    ( ~ spl0_87
    | ~ spl0_170
    | ~ spl0_47
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2096,f665,f450,f1258,f660]) ).

fof(f660,plain,
    ( spl0_87
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1258,plain,
    ( spl0_170
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f450,plain,
    ( spl0_47
  <=> ! [X38] :
        ( ~ c3_1(X38)
        | ~ c0_1(X38)
        | ~ c1_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f665,plain,
    ( spl0_88
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2096,plain,
    ( ~ c0_1(a651)
    | ~ c3_1(a651)
    | ~ spl0_47
    | ~ spl0_88 ),
    inference(resolution,[],[f451,f667]) ).

fof(f667,plain,
    ( c1_1(a651)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f451,plain,
    ( ! [X38] :
        ( ~ c1_1(X38)
        | ~ c0_1(X38)
        | ~ c3_1(X38) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f2105,plain,
    ( ~ spl0_74
    | spl0_164
    | ~ spl0_53
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2101,f601,f476,f1080,f591]) ).

fof(f591,plain,
    ( spl0_74
  <=> c3_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1080,plain,
    ( spl0_164
  <=> c0_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f476,plain,
    ( spl0_53
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c1_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f601,plain,
    ( spl0_76
  <=> c1_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2101,plain,
    ( c0_1(a595)
    | ~ c3_1(a595)
    | ~ spl0_53
    | ~ spl0_76 ),
    inference(resolution,[],[f477,f603]) ).

fof(f603,plain,
    ( c1_1(a595)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f477,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | c0_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f2104,plain,
    ( ~ spl0_87
    | spl0_170
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2100,f665,f476,f1258,f660]) ).

fof(f2100,plain,
    ( c0_1(a651)
    | ~ c3_1(a651)
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(resolution,[],[f477,f667]) ).

fof(f2102,plain,
    ( ~ spl0_177
    | spl0_111
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2098,f793,f476,f788,f1425]) ).

fof(f1425,plain,
    ( spl0_177
  <=> c3_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f788,plain,
    ( spl0_111
  <=> c0_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f793,plain,
    ( spl0_112
  <=> c1_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2098,plain,
    ( c0_1(a620)
    | ~ c3_1(a620)
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(resolution,[],[f477,f795]) ).

fof(f795,plain,
    ( c1_1(a620)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f2067,plain,
    ( ~ spl0_73
    | spl0_161
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2060,f575,f395,f1060,f585]) ).

fof(f585,plain,
    ( spl0_73
  <=> c0_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1060,plain,
    ( spl0_161
  <=> c2_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f395,plain,
    ( spl0_35
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f575,plain,
    ( spl0_71
  <=> c3_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2060,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(resolution,[],[f396,f577]) ).

fof(f577,plain,
    ( c3_1(a618)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f396,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f2065,plain,
    ( ~ spl0_109
    | spl0_107
    | ~ spl0_35
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2052,f1413,f395,f767,f777]) ).

fof(f777,plain,
    ( spl0_109
  <=> c0_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f767,plain,
    ( spl0_107
  <=> c2_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1413,plain,
    ( spl0_176
  <=> c3_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f2052,plain,
    ( c2_1(a624)
    | ~ c0_1(a624)
    | ~ spl0_35
    | ~ spl0_176 ),
    inference(resolution,[],[f396,f1415]) ).

fof(f1415,plain,
    ( c3_1(a624)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f2004,plain,
    ( ~ spl0_173
    | ~ spl0_84
    | ~ spl0_21
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1999,f649,f335,f644,f1329]) ).

fof(f1329,plain,
    ( spl0_173
  <=> c2_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f644,plain,
    ( spl0_84
  <=> c3_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f335,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f649,plain,
    ( spl0_85
  <=> c1_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1999,plain,
    ( ~ c3_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_21
    | ~ spl0_85 ),
    inference(resolution,[],[f336,f651]) ).

fof(f651,plain,
    ( c1_1(a656)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f336,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f2002,plain,
    ( ~ spl0_139
    | ~ spl0_138
    | ~ spl0_21
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1994,f1202,f335,f932,f937]) ).

fof(f937,plain,
    ( spl0_139
  <=> c2_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f932,plain,
    ( spl0_138
  <=> c3_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1202,plain,
    ( spl0_169
  <=> c1_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1994,plain,
    ( ~ c3_1(a602)
    | ~ c2_1(a602)
    | ~ spl0_21
    | ~ spl0_169 ),
    inference(resolution,[],[f336,f1204]) ).

fof(f1204,plain,
    ( c1_1(a602)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1974,plain,
    ( spl0_92
    | spl0_93
    | ~ spl0_38
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1827,f1681,f409,f692,f687]) ).

fof(f687,plain,
    ( spl0_92
  <=> c3_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f692,plain,
    ( spl0_93
  <=> c2_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f409,plain,
    ( spl0_38
  <=> ! [X20] :
        ( ~ c1_1(X20)
        | c2_1(X20)
        | c3_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1681,plain,
    ( spl0_184
  <=> c1_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1827,plain,
    ( c2_1(a644)
    | c3_1(a644)
    | ~ spl0_38
    | ~ spl0_184 ),
    inference(resolution,[],[f410,f1683]) ).

fof(f1683,plain,
    ( c1_1(a644)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1681]) ).

fof(f410,plain,
    ( ! [X20] :
        ( ~ c1_1(X20)
        | c2_1(X20)
        | c3_1(X20) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f1972,plain,
    ( spl0_113
    | spl0_189
    | ~ spl0_39
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1964,f809,f413,f1799,f799]) ).

fof(f799,plain,
    ( spl0_113
  <=> c3_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1799,plain,
    ( spl0_189
  <=> c2_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f809,plain,
    ( spl0_115
  <=> c0_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1964,plain,
    ( c2_1(a619)
    | c3_1(a619)
    | ~ spl0_39
    | ~ spl0_115 ),
    inference(resolution,[],[f414,f811]) ).

fof(f811,plain,
    ( c0_1(a619)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f1943,plain,
    ( ~ spl0_132
    | ~ spl0_165
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1939,f905,f335,f1091,f900]) ).

fof(f900,plain,
    ( spl0_132
  <=> c2_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1091,plain,
    ( spl0_165
  <=> c3_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f905,plain,
    ( spl0_133
  <=> c1_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1939,plain,
    ( ~ c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(resolution,[],[f336,f907]) ).

fof(f907,plain,
    ( c1_1(a604)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f1928,plain,
    ( ~ spl0_165
    | spl0_131
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1920,f905,f476,f895,f1091]) ).

fof(f895,plain,
    ( spl0_131
  <=> c0_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1920,plain,
    ( c0_1(a604)
    | ~ c3_1(a604)
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(resolution,[],[f477,f907]) ).

fof(f1888,plain,
    ( ~ spl0_65
    | ~ spl0_67
    | ~ spl0_47
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1882,f1146,f450,f553,f543]) ).

fof(f543,plain,
    ( spl0_65
  <=> c3_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f553,plain,
    ( spl0_67
  <=> c0_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1146,plain,
    ( spl0_167
  <=> c1_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1882,plain,
    ( ~ c0_1(a672)
    | ~ c3_1(a672)
    | ~ spl0_47
    | ~ spl0_167 ),
    inference(resolution,[],[f451,f1148]) ).

fof(f1148,plain,
    ( c1_1(a672)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1146]) ).

fof(f1887,plain,
    ( ~ spl0_162
    | ~ spl0_70
    | ~ spl0_47
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1881,f564,f450,f569,f1065]) ).

fof(f1065,plain,
    ( spl0_162
  <=> c3_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f569,plain,
    ( spl0_70
  <=> c0_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f564,plain,
    ( spl0_69
  <=> c1_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1881,plain,
    ( ~ c0_1(a637)
    | ~ c3_1(a637)
    | ~ spl0_47
    | ~ spl0_69 ),
    inference(resolution,[],[f451,f566]) ).

fof(f566,plain,
    ( c1_1(a637)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1886,plain,
    ( ~ spl0_71
    | ~ spl0_73
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1880,f580,f450,f585,f575]) ).

fof(f580,plain,
    ( spl0_72
  <=> c1_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1880,plain,
    ( ~ c0_1(a618)
    | ~ c3_1(a618)
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(resolution,[],[f451,f582]) ).

fof(f582,plain,
    ( c1_1(a618)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f1885,plain,
    ( ~ spl0_74
    | ~ spl0_164
    | ~ spl0_47
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1879,f601,f450,f1080,f591]) ).

fof(f1879,plain,
    ( ~ c0_1(a595)
    | ~ c3_1(a595)
    | ~ spl0_47
    | ~ spl0_76 ),
    inference(resolution,[],[f451,f603]) ).

fof(f1849,plain,
    ( ~ spl0_136
    | spl0_134
    | ~ spl0_35
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1848,f1583,f395,f911,f921]) ).

fof(f921,plain,
    ( spl0_136
  <=> c0_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f911,plain,
    ( spl0_134
  <=> c2_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1583,plain,
    ( spl0_181
  <=> c3_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1848,plain,
    ( c2_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_35
    | ~ spl0_181 ),
    inference(resolution,[],[f1585,f396]) ).

fof(f1585,plain,
    ( c3_1(a603)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1583]) ).

fof(f1842,plain,
    ( ~ spl0_186
    | spl0_125
    | ~ spl0_26
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1767,f873,f355,f863,f1742]) ).

fof(f1742,plain,
    ( spl0_186
  <=> c2_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f863,plain,
    ( spl0_125
  <=> c3_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f355,plain,
    ( spl0_26
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f873,plain,
    ( spl0_127
  <=> c1_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1767,plain,
    ( c3_1(a608)
    | ~ c2_1(a608)
    | ~ spl0_26
    | ~ spl0_127 ),
    inference(resolution,[],[f356,f875]) ).

fof(f875,plain,
    ( c1_1(a608)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f356,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1841,plain,
    ( ~ spl0_103
    | spl0_101
    | ~ spl0_31
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1839,f1304,f377,f735,f745]) ).

fof(f745,plain,
    ( spl0_103
  <=> c0_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f735,plain,
    ( spl0_101
  <=> c3_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f377,plain,
    ( spl0_31
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1304,plain,
    ( spl0_172
  <=> c1_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1839,plain,
    ( c3_1(a627)
    | ~ c0_1(a627)
    | ~ spl0_31
    | ~ spl0_172 ),
    inference(resolution,[],[f1306,f378]) ).

fof(f378,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1306,plain,
    ( c1_1(a627)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1304]) ).

fof(f1840,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_38
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1837,f1304,f409,f740,f735]) ).

fof(f740,plain,
    ( spl0_102
  <=> c2_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1837,plain,
    ( c2_1(a627)
    | c3_1(a627)
    | ~ spl0_38
    | ~ spl0_172 ),
    inference(resolution,[],[f1306,f410]) ).

fof(f1835,plain,
    ( spl0_125
    | spl0_186
    | ~ spl0_38
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1826,f873,f409,f1742,f863]) ).

fof(f1826,plain,
    ( c2_1(a608)
    | c3_1(a608)
    | ~ spl0_38
    | ~ spl0_127 ),
    inference(resolution,[],[f410,f875]) ).

fof(f1832,plain,
    ( spl0_155
    | spl0_188
    | ~ spl0_38
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1821,f1028,f409,f1775,f1023]) ).

fof(f1821,plain,
    ( c2_1(a594)
    | c3_1(a594)
    | ~ spl0_38
    | ~ spl0_156 ),
    inference(resolution,[],[f410,f1030]) ).

fof(f1802,plain,
    ( ~ spl0_189
    | spl0_113
    | ~ spl0_29
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1786,f809,f367,f799,f1799]) ).

fof(f367,plain,
    ( spl0_29
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1786,plain,
    ( c3_1(a619)
    | ~ c2_1(a619)
    | ~ spl0_29
    | ~ spl0_115 ),
    inference(resolution,[],[f368,f811]) ).

fof(f368,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1795,plain,
    ( ~ spl0_124
    | spl0_122
    | ~ spl0_29
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1783,f1185,f367,f847,f857]) ).

fof(f1783,plain,
    ( c3_1(a609)
    | ~ c2_1(a609)
    | ~ spl0_29
    | ~ spl0_168 ),
    inference(resolution,[],[f368,f1186]) ).

fof(f1186,plain,
    ( c0_1(a609)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1779,plain,
    ( ~ spl0_150
    | spl0_149
    | ~ spl0_26
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1763,f1001,f355,f991,f996]) ).

fof(f996,plain,
    ( spl0_150
  <=> c2_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f991,plain,
    ( spl0_149
  <=> c3_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1001,plain,
    ( spl0_151
  <=> c1_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1763,plain,
    ( c3_1(a597)
    | ~ c2_1(a597)
    | ~ spl0_26
    | ~ spl0_151 ),
    inference(resolution,[],[f356,f1003]) ).

fof(f1003,plain,
    ( c1_1(a597)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1756,plain,
    ( ~ spl0_157
    | spl0_155
    | ~ spl0_31
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1755,f1028,f377,f1023,f1033]) ).

fof(f1755,plain,
    ( c3_1(a594)
    | ~ c0_1(a594)
    | ~ spl0_31
    | ~ spl0_156 ),
    inference(resolution,[],[f1030,f378]) ).

fof(f1748,plain,
    ( ~ spl0_132
    | spl0_131
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1746,f905,f481,f895,f900]) ).

fof(f481,plain,
    ( spl0_54
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | c0_1(X54)
        | ~ c1_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1746,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(resolution,[],[f907,f482]) ).

fof(f482,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | c0_1(X54)
        | ~ c2_1(X54) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1745,plain,
    ( ~ spl0_186
    | spl0_126
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1738,f873,f481,f868,f1742]) ).

fof(f868,plain,
    ( spl0_126
  <=> c0_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1738,plain,
    ( c0_1(a608)
    | ~ c2_1(a608)
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(resolution,[],[f875,f482]) ).

fof(f1740,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_58
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1737,f873,f500,f868,f863]) ).

fof(f500,plain,
    ( spl0_58
  <=> ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | c3_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1737,plain,
    ( c0_1(a608)
    | c3_1(a608)
    | ~ spl0_58
    | ~ spl0_127 ),
    inference(resolution,[],[f875,f501]) ).

fof(f501,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | c3_1(X65) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1723,plain,
    ( ~ spl0_166
    | spl0_105
    | ~ spl0_51
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1248,f761,f466,f756,f1140]) ).

fof(f1140,plain,
    ( spl0_166
  <=> c2_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f756,plain,
    ( spl0_105
  <=> c0_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f466,plain,
    ( spl0_51
  <=> ! [X44] :
        ( ~ c3_1(X44)
        | c0_1(X44)
        | ~ c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f761,plain,
    ( spl0_106
  <=> c3_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1248,plain,
    ( c0_1(a625)
    | ~ c2_1(a625)
    | ~ spl0_51
    | ~ spl0_106 ),
    inference(resolution,[],[f467,f763]) ).

fof(f763,plain,
    ( c3_1(a625)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f467,plain,
    ( ! [X44] :
        ( ~ c3_1(X44)
        | c0_1(X44)
        | ~ c2_1(X44) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1722,plain,
    ( ~ spl0_161
    | ~ spl0_73
    | ~ spl0_24
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1688,f580,f347,f585,f1060]) ).

fof(f1688,plain,
    ( ~ c0_1(a618)
    | ~ c2_1(a618)
    | ~ spl0_24
    | ~ spl0_72 ),
    inference(resolution,[],[f582,f348]) ).

fof(f1718,plain,
    ( ~ spl0_170
    | spl0_87
    | ~ spl0_31
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1532,f665,f377,f660,f1258]) ).

fof(f1532,plain,
    ( c3_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_31
    | ~ spl0_88 ),
    inference(resolution,[],[f378,f667]) ).

fof(f1713,plain,
    ( ~ spl0_68
    | ~ spl0_70
    | ~ spl0_24
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1643,f564,f347,f569,f559]) ).

fof(f559,plain,
    ( spl0_68
  <=> c2_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1643,plain,
    ( ~ c0_1(a637)
    | ~ c2_1(a637)
    | ~ spl0_24
    | ~ spl0_69 ),
    inference(resolution,[],[f348,f566]) ).

fof(f1710,plain,
    ( spl0_158
    | spl0_159
    | ~ spl0_55
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1704,f1049,f486,f1044,f1039]) ).

fof(f1039,plain,
    ( spl0_158
  <=> c3_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1044,plain,
    ( spl0_159
  <=> c0_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1049,plain,
    ( spl0_160
  <=> c2_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1704,plain,
    ( c0_1(a593)
    | c3_1(a593)
    | ~ spl0_55
    | ~ spl0_160 ),
    inference(resolution,[],[f1051,f487]) ).

fof(f1051,plain,
    ( c2_1(a593)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1685,plain,
    ( spl0_81
    | spl0_183
    | ~ spl0_64
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1674,f633,f535,f1635,f628]) ).

fof(f628,plain,
    ( spl0_81
  <=> c1_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f535,plain,
    ( spl0_64
  <=> ! [X103] :
        ( c2_1(X103)
        | c0_1(X103)
        | c1_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1674,plain,
    ( c2_1(a667)
    | c1_1(a667)
    | ~ spl0_64
    | spl0_82 ),
    inference(resolution,[],[f536,f635]) ).

fof(f635,plain,
    ( ~ c0_1(a667)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f536,plain,
    ( ! [X103] :
        ( c0_1(X103)
        | c2_1(X103)
        | c1_1(X103) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f1684,plain,
    ( spl0_184
    | spl0_93
    | ~ spl0_64
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1671,f697,f535,f692,f1681]) ).

fof(f697,plain,
    ( spl0_94
  <=> c0_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1671,plain,
    ( c2_1(a644)
    | c1_1(a644)
    | ~ spl0_64
    | spl0_94 ),
    inference(resolution,[],[f536,f699]) ).

fof(f699,plain,
    ( ~ c0_1(a644)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f1679,plain,
    ( spl0_104
    | spl0_166
    | ~ spl0_64
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1670,f756,f535,f1140,f751]) ).

fof(f751,plain,
    ( spl0_104
  <=> c1_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1670,plain,
    ( c2_1(a625)
    | c1_1(a625)
    | ~ spl0_64
    | spl0_105 ),
    inference(resolution,[],[f536,f758]) ).

fof(f758,plain,
    ( ~ c0_1(a625)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f1676,plain,
    ( spl0_147
    | spl0_146
    | ~ spl0_64
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1665,f985,f535,f975,f980]) ).

fof(f980,plain,
    ( spl0_147
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f975,plain,
    ( spl0_146
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f985,plain,
    ( spl0_148
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1665,plain,
    ( c2_1(a598)
    | c1_1(a598)
    | ~ spl0_64
    | spl0_148 ),
    inference(resolution,[],[f536,f987]) ).

fof(f987,plain,
    ( ~ c0_1(a598)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f1655,plain,
    ( spl0_104
    | spl0_105
    | ~ spl0_61
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1648,f761,f518,f756,f751]) ).

fof(f518,plain,
    ( spl0_61
  <=> ! [X84] :
        ( ~ c3_1(X84)
        | c0_1(X84)
        | c1_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1648,plain,
    ( c0_1(a625)
    | c1_1(a625)
    | ~ spl0_61
    | ~ spl0_106 ),
    inference(resolution,[],[f519,f763]) ).

fof(f519,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | c0_1(X84)
        | c1_1(X84) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1654,plain,
    ( spl0_169
    | spl0_137
    | ~ spl0_61
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1645,f932,f518,f927,f1202]) ).

fof(f927,plain,
    ( spl0_137
  <=> c0_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1645,plain,
    ( c0_1(a602)
    | c1_1(a602)
    | ~ spl0_61
    | ~ spl0_138 ),
    inference(resolution,[],[f519,f934]) ).

fof(f934,plain,
    ( c3_1(a602)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1653,plain,
    ( spl0_141
    | spl0_180
    | ~ spl0_61
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1644,f953,f518,f1544,f948]) ).

fof(f1644,plain,
    ( c0_1(a600)
    | c1_1(a600)
    | ~ spl0_61
    | ~ spl0_142 ),
    inference(resolution,[],[f519,f955]) ).

fof(f1633,plain,
    ( spl0_93
    | spl0_92
    | ~ spl0_60
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1622,f697,f512,f687,f692]) ).

fof(f512,plain,
    ( spl0_60
  <=> ! [X78] :
        ( c3_1(X78)
        | c0_1(X78)
        | c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1622,plain,
    ( c3_1(a644)
    | c2_1(a644)
    | ~ spl0_60
    | spl0_94 ),
    inference(resolution,[],[f513,f699]) ).

fof(f513,plain,
    ( ! [X78] :
        ( c0_1(X78)
        | c3_1(X78)
        | c2_1(X78) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f1614,plain,
    ( spl0_173
    | spl0_83
    | ~ spl0_59
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1609,f649,f505,f639,f1329]) ).

fof(f639,plain,
    ( spl0_83
  <=> c0_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f505,plain,
    ( spl0_59
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | c0_1(X69)
        | c2_1(X69) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1609,plain,
    ( c0_1(a656)
    | c2_1(a656)
    | ~ spl0_59
    | ~ spl0_85 ),
    inference(resolution,[],[f506,f651]) ).

fof(f506,plain,
    ( ! [X69] :
        ( ~ c1_1(X69)
        | c0_1(X69)
        | c2_1(X69) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f1613,plain,
    ( spl0_86
    | spl0_170
    | ~ spl0_59
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1608,f665,f505,f1258,f655]) ).

fof(f655,plain,
    ( spl0_86
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1608,plain,
    ( c0_1(a651)
    | c2_1(a651)
    | ~ spl0_59
    | ~ spl0_88 ),
    inference(resolution,[],[f506,f667]) ).

fof(f1611,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_59
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1606,f793,f505,f788,f783]) ).

fof(f783,plain,
    ( spl0_110
  <=> c2_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1606,plain,
    ( c0_1(a620)
    | c2_1(a620)
    | ~ spl0_59
    | ~ spl0_112 ),
    inference(resolution,[],[f506,f795]) ).

fof(f1602,plain,
    ( spl0_119
    | spl0_178
    | ~ spl0_58
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1596,f841,f500,f1432,f831]) ).

fof(f831,plain,
    ( spl0_119
  <=> c3_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1432,plain,
    ( spl0_178
  <=> c0_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f841,plain,
    ( spl0_121
  <=> c1_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1596,plain,
    ( c0_1(a614)
    | c3_1(a614)
    | ~ spl0_58
    | ~ spl0_121 ),
    inference(resolution,[],[f501,f843]) ).

fof(f843,plain,
    ( c1_1(a614)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f1591,plain,
    ( spl0_101
    | spl0_172
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1574,f745,f492,f1304,f735]) ).

fof(f492,plain,
    ( spl0_56
  <=> ! [X62] :
        ( ~ c0_1(X62)
        | c1_1(X62)
        | c3_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1574,plain,
    ( c1_1(a627)
    | c3_1(a627)
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(resolution,[],[f493,f747]) ).

fof(f747,plain,
    ( c0_1(a627)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f493,plain,
    ( ! [X62] :
        ( ~ c0_1(X62)
        | c1_1(X62)
        | c3_1(X62) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f1590,plain,
    ( spl0_175
    | spl0_116
    | ~ spl0_56
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1573,f825,f492,f815,f1405]) ).

fof(f1405,plain,
    ( spl0_175
  <=> c3_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f815,plain,
    ( spl0_116
  <=> c1_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f825,plain,
    ( spl0_118
  <=> c0_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1573,plain,
    ( c1_1(a615)
    | c3_1(a615)
    | ~ spl0_56
    | ~ spl0_118 ),
    inference(resolution,[],[f493,f827]) ).

fof(f827,plain,
    ( c0_1(a615)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f1586,plain,
    ( spl0_181
    | spl0_135
    | ~ spl0_56
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1569,f921,f492,f916,f1583]) ).

fof(f916,plain,
    ( spl0_135
  <=> c1_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1569,plain,
    ( c1_1(a603)
    | c3_1(a603)
    | ~ spl0_56
    | ~ spl0_136 ),
    inference(resolution,[],[f493,f923]) ).

fof(f923,plain,
    ( c0_1(a603)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f1548,plain,
    ( ~ spl0_100
    | spl0_98
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1540,f724,f395,f719,f729]) ).

fof(f729,plain,
    ( spl0_100
  <=> c0_1(a630) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f719,plain,
    ( spl0_98
  <=> c2_1(a630) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f724,plain,
    ( spl0_99
  <=> c3_1(a630) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1540,plain,
    ( c2_1(a630)
    | ~ c0_1(a630)
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(resolution,[],[f396,f726]) ).

fof(f726,plain,
    ( c3_1(a630)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f1526,plain,
    ( ~ spl0_129
    | spl0_128
    | ~ spl0_26
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1517,f1400,f355,f879,f884]) ).

fof(f884,plain,
    ( spl0_129
  <=> c2_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f879,plain,
    ( spl0_128
  <=> c3_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1400,plain,
    ( spl0_174
  <=> c1_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1517,plain,
    ( c3_1(a605)
    | ~ c2_1(a605)
    | ~ spl0_26
    | ~ spl0_174 ),
    inference(resolution,[],[f356,f1402]) ).

fof(f1402,plain,
    ( c1_1(a605)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f1514,plain,
    ( ~ spl0_129
    | ~ spl0_130
    | ~ spl0_24
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1505,f1400,f347,f889,f884]) ).

fof(f889,plain,
    ( spl0_130
  <=> c0_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1505,plain,
    ( ~ c0_1(a605)
    | ~ c2_1(a605)
    | ~ spl0_24
    | ~ spl0_174 ),
    inference(resolution,[],[f348,f1402]) ).

fof(f1500,plain,
    ( ~ spl0_66
    | ~ spl0_67
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1495,f543,f343,f553,f548]) ).

fof(f548,plain,
    ( spl0_66
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1495,plain,
    ( ~ c0_1(a672)
    | ~ c2_1(a672)
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(resolution,[],[f344,f545]) ).

fof(f545,plain,
    ( c3_1(a672)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f1499,plain,
    ( ~ spl0_117
    | ~ spl0_118
    | ~ spl0_23
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1486,f1405,f343,f825,f820]) ).

fof(f820,plain,
    ( spl0_117
  <=> c2_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1486,plain,
    ( ~ c0_1(a615)
    | ~ c2_1(a615)
    | ~ spl0_23
    | ~ spl0_175 ),
    inference(resolution,[],[f344,f1407]) ).

fof(f1407,plain,
    ( c3_1(a615)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f1468,plain,
    ( ~ spl0_66
    | ~ spl0_65
    | ~ spl0_21
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1465,f1146,f335,f543,f548]) ).

fof(f1465,plain,
    ( ~ c3_1(a672)
    | ~ c2_1(a672)
    | ~ spl0_21
    | ~ spl0_167 ),
    inference(resolution,[],[f336,f1148]) ).

fof(f1455,plain,
    ( ~ spl0_103
    | spl0_102
    | ~ spl0_36
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1454,f1304,f399,f740,f745]) ).

fof(f1454,plain,
    ( c2_1(a627)
    | ~ c0_1(a627)
    | ~ spl0_36
    | ~ spl0_172 ),
    inference(resolution,[],[f1306,f400]) ).

fof(f1436,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_38
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1430,f841,f409,f836,f831]) ).

fof(f836,plain,
    ( spl0_120
  <=> c2_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1430,plain,
    ( c2_1(a614)
    | c3_1(a614)
    | ~ spl0_38
    | ~ spl0_121 ),
    inference(resolution,[],[f843,f410]) ).

fof(f1435,plain,
    ( ~ spl0_178
    | spl0_120
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1429,f841,f399,f836,f1432]) ).

fof(f1429,plain,
    ( c2_1(a614)
    | ~ c0_1(a614)
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(resolution,[],[f843,f400]) ).

fof(f1428,plain,
    ( spl0_177
    | spl0_110
    | ~ spl0_38
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1423,f793,f409,f783,f1425]) ).

fof(f1423,plain,
    ( c2_1(a620)
    | c3_1(a620)
    | ~ spl0_38
    | ~ spl0_112 ),
    inference(resolution,[],[f795,f410]) ).

fof(f1419,plain,
    ( ~ spl0_73
    | spl0_161
    | ~ spl0_36
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1385,f580,f399,f1060,f585]) ).

fof(f1385,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_36
    | ~ spl0_72 ),
    inference(resolution,[],[f400,f582]) ).

fof(f1416,plain,
    ( spl0_176
    | spl0_107
    | ~ spl0_38
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1410,f772,f409,f767,f1413]) ).

fof(f772,plain,
    ( spl0_108
  <=> c1_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1410,plain,
    ( c2_1(a624)
    | c3_1(a624)
    | ~ spl0_38
    | ~ spl0_108 ),
    inference(resolution,[],[f774,f410]) ).

fof(f774,plain,
    ( c1_1(a624)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f1411,plain,
    ( ~ spl0_109
    | spl0_107
    | ~ spl0_36
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1409,f772,f399,f767,f777]) ).

fof(f1409,plain,
    ( c2_1(a624)
    | ~ c0_1(a624)
    | ~ spl0_36
    | ~ spl0_108 ),
    inference(resolution,[],[f774,f400]) ).

fof(f1408,plain,
    ( spl0_175
    | spl0_116
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1392,f820,f442,f815,f1405]) ).

fof(f442,plain,
    ( spl0_45
  <=> ! [X37] :
        ( ~ c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1392,plain,
    ( c1_1(a615)
    | c3_1(a615)
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(resolution,[],[f443,f822]) ).

fof(f822,plain,
    ( c2_1(a615)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f443,plain,
    ( ! [X37] :
        ( ~ c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1403,plain,
    ( spl0_128
    | spl0_174
    | ~ spl0_45
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1390,f884,f442,f1400,f879]) ).

fof(f1390,plain,
    ( c1_1(a605)
    | c3_1(a605)
    | ~ spl0_45
    | ~ spl0_129 ),
    inference(resolution,[],[f443,f886]) ).

fof(f886,plain,
    ( c2_1(a605)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f1378,plain,
    ( ~ spl0_118
    | ~ spl0_117
    | ~ spl0_44
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1372,f815,f438,f820,f825]) ).

fof(f438,plain,
    ( spl0_44
  <=> ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1372,plain,
    ( ~ c2_1(a615)
    | ~ c0_1(a615)
    | ~ spl0_44
    | spl0_116 ),
    inference(resolution,[],[f439,f817]) ).

fof(f817,plain,
    ( ~ c1_1(a615)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f439,plain,
    ( ! [X36] :
        ( c1_1(X36)
        | ~ c2_1(X36)
        | ~ c0_1(X36) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f1376,plain,
    ( spl0_29
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1375,f438,f377,f367]) ).

fof(f1375,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1368]) ).

fof(f1368,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(resolution,[],[f439,f378]) ).

fof(f1341,plain,
    ( ~ spl0_170
    | spl0_86
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1115,f660,f395,f655,f1258]) ).

fof(f1115,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(resolution,[],[f396,f662]) ).

fof(f662,plain,
    ( c3_1(a651)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f1340,plain,
    ( ~ spl0_170
    | spl0_86
    | ~ spl0_36
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1122,f665,f399,f655,f1258]) ).

fof(f1122,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_36
    | ~ spl0_88 ),
    inference(resolution,[],[f400,f667]) ).

fof(f1338,plain,
    ( ~ spl0_84
    | spl0_83
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1333,f649,f476,f639,f644]) ).

fof(f1333,plain,
    ( c0_1(a656)
    | ~ c3_1(a656)
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(resolution,[],[f651,f477]) ).

fof(f1325,plain,
    ( ~ spl0_129
    | spl0_128
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1324,f889,f367,f879,f884]) ).

fof(f1324,plain,
    ( c3_1(a605)
    | ~ c2_1(a605)
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(resolution,[],[f891,f368]) ).

fof(f891,plain,
    ( c0_1(a605)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f1317,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_39
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1310,f745,f413,f740,f735]) ).

fof(f1310,plain,
    ( c2_1(a627)
    | c3_1(a627)
    | ~ spl0_39
    | ~ spl0_103 ),
    inference(resolution,[],[f414,f747]) ).

fof(f1300,plain,
    ( ~ spl0_171
    | spl0_143
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1292,f964,f427,f959,f1295]) ).

fof(f1295,plain,
    ( spl0_171
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f959,plain,
    ( spl0_143
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f964,plain,
    ( spl0_144
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1292,plain,
    ( c1_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_42
    | ~ spl0_144 ),
    inference(resolution,[],[f966,f428]) ).

fof(f966,plain,
    ( c3_1(a599)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f1299,plain,
    ( ~ spl0_145
    | spl0_143
    | ~ spl0_41
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1291,f964,f423,f959,f969]) ).

fof(f969,plain,
    ( spl0_145
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f423,plain,
    ( spl0_41
  <=> ! [X26] :
        ( ~ c3_1(X26)
        | c1_1(X26)
        | ~ c2_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1291,plain,
    ( c1_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_41
    | ~ spl0_144 ),
    inference(resolution,[],[f966,f424]) ).

fof(f424,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c1_1(X26)
        | ~ c2_1(X26) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f1298,plain,
    ( ~ spl0_145
    | spl0_171
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1290,f964,f466,f1295,f969]) ).

fof(f1290,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(resolution,[],[f966,f467]) ).

fof(f1289,plain,
    ( spl0_165
    | spl0_131
    | ~ spl0_55
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1282,f900,f486,f895,f1091]) ).

fof(f1282,plain,
    ( c0_1(a604)
    | c3_1(a604)
    | ~ spl0_55
    | ~ spl0_132 ),
    inference(resolution,[],[f487,f902]) ).

fof(f902,plain,
    ( c2_1(a604)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f1262,plain,
    ( ~ spl0_75
    | spl0_164
    | ~ spl0_51
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1251,f591,f466,f1080,f596]) ).

fof(f596,plain,
    ( spl0_75
  <=> c2_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1251,plain,
    ( c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_51
    | ~ spl0_74 ),
    inference(resolution,[],[f467,f593]) ).

fof(f593,plain,
    ( c3_1(a595)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f1255,plain,
    ( ~ spl0_139
    | spl0_137
    | ~ spl0_51
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1246,f932,f466,f927,f937]) ).

fof(f1246,plain,
    ( c0_1(a602)
    | ~ c2_1(a602)
    | ~ spl0_51
    | ~ spl0_138 ),
    inference(resolution,[],[f467,f934]) ).

fof(f1178,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1171,f857,f442,f852,f847]) ).

fof(f852,plain,
    ( spl0_123
  <=> c1_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1171,plain,
    ( c1_1(a609)
    | c3_1(a609)
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(resolution,[],[f443,f859]) ).

fof(f1159,plain,
    ( ~ spl0_67
    | spl0_167
    | ~ spl0_42
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1157,f543,f427,f1146,f553]) ).

fof(f1157,plain,
    ( c1_1(a672)
    | ~ c0_1(a672)
    | ~ spl0_42
    | ~ spl0_65 ),
    inference(resolution,[],[f428,f545]) ).

fof(f1149,plain,
    ( ~ spl0_66
    | spl0_167
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1138,f543,f423,f1146,f548]) ).

fof(f1138,plain,
    ( c1_1(a672)
    | ~ c2_1(a672)
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(resolution,[],[f424,f545]) ).

fof(f1120,plain,
    ( ~ spl0_97
    | spl0_163
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1114,f708,f395,f1075,f713]) ).

fof(f1114,plain,
    ( c2_1(a631)
    | ~ c0_1(a631)
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(resolution,[],[f396,f710]) ).

fof(f1111,plain,
    ( ~ spl0_71
    | spl0_161
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1108,f580,f386,f1060,f575]) ).

fof(f386,plain,
    ( spl0_33
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c2_1(X11)
        | ~ c1_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1108,plain,
    ( c2_1(a618)
    | ~ c3_1(a618)
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(resolution,[],[f387,f582]) ).

fof(f387,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c3_1(X11) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f1110,plain,
    ( ~ spl0_87
    | spl0_86
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1106,f665,f386,f655,f660]) ).

fof(f1106,plain,
    ( c2_1(a651)
    | ~ c3_1(a651)
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(resolution,[],[f387,f667]) ).

fof(f1095,plain,
    ( ~ spl0_68
    | spl0_162
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1089,f564,f355,f1065,f559]) ).

fof(f1089,plain,
    ( c3_1(a637)
    | ~ c2_1(a637)
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(resolution,[],[f356,f566]) ).

fof(f1094,plain,
    ( ~ spl0_132
    | spl0_165
    | ~ spl0_26
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1085,f905,f355,f1091,f900]) ).

fof(f1085,plain,
    ( c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_26
    | ~ spl0_133 ),
    inference(resolution,[],[f356,f907]) ).

fof(f1084,plain,
    ( ~ spl0_161
    | ~ spl0_73
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1073,f575,f343,f585,f1060]) ).

fof(f1073,plain,
    ( ~ c0_1(a618)
    | ~ c2_1(a618)
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(resolution,[],[f344,f577]) ).

fof(f1083,plain,
    ( ~ spl0_75
    | ~ spl0_164
    | ~ spl0_23
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1072,f591,f343,f1080,f596]) ).

fof(f1072,plain,
    ( ~ c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_23
    | ~ spl0_74 ),
    inference(resolution,[],[f344,f593]) ).

fof(f1058,plain,
    ( ~ spl0_75
    | ~ spl0_74
    | ~ spl0_21
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1055,f601,f335,f591,f596]) ).

fof(f1055,plain,
    ( ~ c3_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_21
    | ~ spl0_76 ),
    inference(resolution,[],[f336,f603]) ).

fof(f1052,plain,
    ( ~ spl0_27
    | spl0_160 ),
    inference(avatar_split_clause,[],[f8,f1049,f358]) ).

fof(f358,plain,
    ( spl0_27
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f8,plain,
    ( c2_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp27
      | hskp13
      | hskp3 )
    & ( hskp24
      | hskp9 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( hskp2
      | hskp28
      | hskp10 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( hskp24
      | hskp31
      | hskp1 )
    & ( hskp23
      | hskp25
      | hskp29 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp18
      | hskp5
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp28
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp29
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp4
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp8
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp19
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp14
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp19
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp14
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X75] :
          ( ~ c0_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X94] :
          ( ~ c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp28
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X96] :
          ( ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | ~ c1_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a672)
        & c2_1(a672)
        & c0_1(a672)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a637)
        & c1_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a618)
        & c1_1(a618)
        & c0_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a595)
        & c2_1(a595)
        & c1_1(a595)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a690)
        & ~ c2_1(a690)
        & ~ c1_1(a690)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a667)
        & ~ c1_1(a667)
        & ~ c0_1(a667)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a656)
        & c3_1(a656)
        & c1_1(a656)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a651)
        & c3_1(a651)
        & c1_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a644)
        & ~ c2_1(a644)
        & ~ c0_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a631)
        & c3_1(a631)
        & c0_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a630)
        & c3_1(a630)
        & c0_1(a630)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a627)
        & ~ c2_1(a627)
        & c0_1(a627)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a625)
        & ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a620)
        & ~ c0_1(a620)
        & c1_1(a620)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a614)
        & ~ c2_1(a614)
        & c1_1(a614)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a609)
        & ~ c1_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a608)
        & ~ c0_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a605)
        & c2_1(a605)
        & c0_1(a605)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a602)
        & c3_1(a602)
        & c2_1(a602)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a600)
        & ~ c1_1(a600)
        & c3_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a598)
        & ~ c1_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a597)
        & c2_1(a597)
        & c1_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a596)
        & ~ c0_1(a596)
        & c2_1(a596)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a594)
        & c1_1(a594)
        & c0_1(a594)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a593)
        & ~ c0_1(a593)
        & c2_1(a593)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp27
      | hskp13
      | hskp3 )
    & ( hskp24
      | hskp9 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( hskp2
      | hskp28
      | hskp10 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( hskp24
      | hskp31
      | hskp1 )
    & ( hskp23
      | hskp25
      | hskp29 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp18
      | hskp5
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp28
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp29
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp29
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp4
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp8
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp19
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp14
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp19
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp14
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X75] :
          ( ~ c0_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X94] :
          ( ~ c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp28
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X96] :
          ( ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | ~ c1_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a672)
        & c2_1(a672)
        & c0_1(a672)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a637)
        & c1_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a618)
        & c1_1(a618)
        & c0_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a595)
        & c2_1(a595)
        & c1_1(a595)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a690)
        & ~ c2_1(a690)
        & ~ c1_1(a690)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a667)
        & ~ c1_1(a667)
        & ~ c0_1(a667)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a656)
        & c3_1(a656)
        & c1_1(a656)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a651)
        & c3_1(a651)
        & c1_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a644)
        & ~ c2_1(a644)
        & ~ c0_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a631)
        & c3_1(a631)
        & c0_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a630)
        & c3_1(a630)
        & c0_1(a630)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a627)
        & ~ c2_1(a627)
        & c0_1(a627)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a625)
        & ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a620)
        & ~ c0_1(a620)
        & c1_1(a620)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a614)
        & ~ c2_1(a614)
        & c1_1(a614)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a609)
        & ~ c1_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a608)
        & ~ c0_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a605)
        & c2_1(a605)
        & c0_1(a605)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a602)
        & c3_1(a602)
        & c2_1(a602)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a600)
        & ~ c1_1(a600)
        & c3_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a598)
        & ~ c1_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a597)
        & c2_1(a597)
        & c1_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a596)
        & ~ c0_1(a596)
        & c2_1(a596)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a594)
        & c1_1(a594)
        & c0_1(a594)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a593)
        & ~ c0_1(a593)
        & c2_1(a593)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp27
      | hskp13
      | hskp3 )
    & ( hskp24
      | hskp9 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( hskp2
      | hskp28
      | hskp10 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( hskp24
      | hskp31
      | hskp1 )
    & ( hskp23
      | hskp25
      | hskp29 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp18
      | hskp5
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp2
      | hskp28
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp16
      | hskp29
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp22
      | hskp0
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp25
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp4
      | hskp28
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp17
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp24
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp5
      | hskp10
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp6
      | hskp29
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp22
      | hskp23
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp22
      | hskp4
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp4
      | hskp8
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp18
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c1_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c0_1(X17)
            | c2_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp28
      | hskp19
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp30
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp29
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp12
      | hskp13
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp5
      | hskp14
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp21
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c0_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp20
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c0_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp7
      | hskp19
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp18
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c1_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp18
      | hskp17
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp12
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c0_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp4
      | hskp14
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp16
      | hskp15
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp29
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp8
      | hskp14
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp14
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp13
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | ~ c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp7
      | hskp28
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp5
      | hskp10
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp12
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp11
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c3_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp28
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp1
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp10
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | ~ c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp9
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp8
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c2_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp7
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c1_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp5
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp6
      | hskp5
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c0_1(X88)
            | c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c3_1(X89)
            | c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp4
      | hskp3
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp2
      | hskp28
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp1
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | ~ c1_1(X102)
            | c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp0
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c0_1(X106)
            | c2_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | c3_1(X107)
            | c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c3_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c2_1(X112)
            | c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( ( c3_1(a672)
        & c2_1(a672)
        & c0_1(a672)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a637)
        & c1_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a618)
        & c1_1(a618)
        & c0_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a595)
        & c2_1(a595)
        & c1_1(a595)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a690)
        & ~ c2_1(a690)
        & ~ c1_1(a690)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a667)
        & ~ c1_1(a667)
        & ~ c0_1(a667)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a656)
        & c3_1(a656)
        & c1_1(a656)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a651)
        & c3_1(a651)
        & c1_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a644)
        & ~ c2_1(a644)
        & ~ c0_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a631)
        & c3_1(a631)
        & c0_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a630)
        & c3_1(a630)
        & c0_1(a630)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a627)
        & ~ c2_1(a627)
        & c0_1(a627)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a625)
        & ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a620)
        & ~ c0_1(a620)
        & c1_1(a620)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a614)
        & ~ c2_1(a614)
        & c1_1(a614)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a609)
        & ~ c1_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a608)
        & ~ c0_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a605)
        & c2_1(a605)
        & c0_1(a605)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a602)
        & c3_1(a602)
        & c2_1(a602)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a600)
        & ~ c1_1(a600)
        & c3_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a598)
        & ~ c1_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a597)
        & c2_1(a597)
        & c1_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a596)
        & ~ c0_1(a596)
        & c2_1(a596)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a594)
        & c1_1(a594)
        & c0_1(a594)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a593)
        & ~ c0_1(a593)
        & c2_1(a593)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp27
          | hskp13
          | hskp3 )
        & ( hskp24
          | hskp9 )
        & ( hskp18
          | hskp12
          | hskp10 )
        & ( hskp12
          | hskp9
          | hskp10 )
        & ( hskp2
          | hskp28
          | hskp10 )
        & ( hskp4
          | hskp21
          | hskp1 )
        & ( hskp24
          | hskp31
          | hskp1 )
        & ( hskp23
          | hskp25
          | hskp29 )
        & ( hskp26
          | hskp3
          | hskp30 )
        & ( hskp18
          | hskp5
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp2
          | hskp28
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp16
          | hskp29
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp22
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp25
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp4
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp17
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp24
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp5
          | hskp10
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp6
          | hskp29
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp22
          | hskp23
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp22
          | hskp4
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp4
          | hskp8
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp18
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp28
          | hskp19
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp30
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp29
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp12
          | hskp13
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp5
          | hskp14
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp21
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c0_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp20
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp7
          | hskp19
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp18
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp18
          | hskp17
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp12
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c0_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp4
          | hskp14
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp16
          | hskp15
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp29
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp8
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp13
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp7
          | hskp28
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp5
          | hskp10
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp12
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp28
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp1
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp10
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp9
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp8
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp7
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp5
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp6
          | hskp5
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp4
          | hskp3
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp2
          | hskp28
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp1
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp0
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c2_1(X112)
                | c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( ( c3_1(a672)
            & c2_1(a672)
            & c0_1(a672)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a637)
            & c1_1(a637)
            & c0_1(a637)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a618)
            & c1_1(a618)
            & c0_1(a618)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a595)
            & c2_1(a595)
            & c1_1(a595)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a690)
            & ~ c2_1(a690)
            & ~ c1_1(a690)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a667)
            & ~ c1_1(a667)
            & ~ c0_1(a667)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a656)
            & c3_1(a656)
            & c1_1(a656)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a651)
            & c3_1(a651)
            & c1_1(a651)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a645)
            & ~ c0_1(a645)
            & c3_1(a645)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a644)
            & ~ c2_1(a644)
            & ~ c0_1(a644)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a631)
            & c3_1(a631)
            & c0_1(a631)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a630)
            & c3_1(a630)
            & c0_1(a630)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a627)
            & ~ c2_1(a627)
            & c0_1(a627)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a625)
            & ~ c0_1(a625)
            & c3_1(a625)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a624)
            & c1_1(a624)
            & c0_1(a624)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a620)
            & ~ c0_1(a620)
            & c1_1(a620)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a619)
            & ~ c1_1(a619)
            & c0_1(a619)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a615)
            & c2_1(a615)
            & c0_1(a615)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a614)
            & ~ c2_1(a614)
            & c1_1(a614)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a609)
            & ~ c1_1(a609)
            & c2_1(a609)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a608)
            & ~ c0_1(a608)
            & c1_1(a608)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a605)
            & c2_1(a605)
            & c0_1(a605)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a604)
            & c2_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a602)
            & c3_1(a602)
            & c2_1(a602)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a600)
            & ~ c1_1(a600)
            & c3_1(a600)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a599)
            & c3_1(a599)
            & c2_1(a599)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a598)
            & ~ c1_1(a598)
            & ~ c0_1(a598)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a597)
            & c2_1(a597)
            & c1_1(a597)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a596)
            & ~ c0_1(a596)
            & c2_1(a596)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a594)
            & c1_1(a594)
            & c0_1(a594)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a593)
            & ~ c0_1(a593)
            & c2_1(a593)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp27
          | hskp13
          | hskp3 )
        & ( hskp24
          | hskp9 )
        & ( hskp18
          | hskp12
          | hskp10 )
        & ( hskp12
          | hskp9
          | hskp10 )
        & ( hskp2
          | hskp28
          | hskp10 )
        & ( hskp4
          | hskp21
          | hskp1 )
        & ( hskp24
          | hskp31
          | hskp1 )
        & ( hskp23
          | hskp25
          | hskp29 )
        & ( hskp26
          | hskp3
          | hskp30 )
        & ( hskp18
          | hskp5
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) ) )
        & ( hskp2
          | hskp28
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp16
          | hskp29
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp22
          | hskp0
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp25
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c3_1(X110) ) ) )
        & ( hskp4
          | hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp14
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp17
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp24
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp5
          | hskp10
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp6
          | hskp29
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp22
          | hskp23
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp22
          | hskp4
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp4
          | hskp8
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp18
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp28
          | hskp19
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp29
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp12
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp5
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp21
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp20
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp12
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp7
          | hskp19
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp18
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp18
          | hskp17
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp12
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp4
          | hskp14
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp16
          | hskp15
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp29
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp8
          | hskp14
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp14
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp13
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp7
          | hskp28
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp5
          | hskp10
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp28
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp1
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp10
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp9
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp7
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp5
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp6
          | hskp5
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c0_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp4
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp2
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_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)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c1_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp0
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c3_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a672)
            & c2_1(a672)
            & c0_1(a672)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a637)
            & c1_1(a637)
            & c0_1(a637)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a618)
            & c1_1(a618)
            & c0_1(a618)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a595)
            & c2_1(a595)
            & c1_1(a595)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a690)
            & ~ c2_1(a690)
            & ~ c1_1(a690)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a667)
            & ~ c1_1(a667)
            & ~ c0_1(a667)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a656)
            & c3_1(a656)
            & c1_1(a656)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a651)
            & c3_1(a651)
            & c1_1(a651)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a645)
            & ~ c0_1(a645)
            & c3_1(a645)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a644)
            & ~ c2_1(a644)
            & ~ c0_1(a644)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a631)
            & c3_1(a631)
            & c0_1(a631)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a630)
            & c3_1(a630)
            & c0_1(a630)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a627)
            & ~ c2_1(a627)
            & c0_1(a627)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a625)
            & ~ c0_1(a625)
            & c3_1(a625)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a624)
            & c1_1(a624)
            & c0_1(a624)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a620)
            & ~ c0_1(a620)
            & c1_1(a620)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a619)
            & ~ c1_1(a619)
            & c0_1(a619)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a615)
            & c2_1(a615)
            & c0_1(a615)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a614)
            & ~ c2_1(a614)
            & c1_1(a614)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a609)
            & ~ c1_1(a609)
            & c2_1(a609)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a608)
            & ~ c0_1(a608)
            & c1_1(a608)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a605)
            & c2_1(a605)
            & c0_1(a605)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a604)
            & c2_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a602)
            & c3_1(a602)
            & c2_1(a602)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a600)
            & ~ c1_1(a600)
            & c3_1(a600)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a599)
            & c3_1(a599)
            & c2_1(a599)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a598)
            & ~ c1_1(a598)
            & ~ c0_1(a598)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a597)
            & c2_1(a597)
            & c1_1(a597)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a596)
            & ~ c0_1(a596)
            & c2_1(a596)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a594)
            & c1_1(a594)
            & c0_1(a594)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a593)
            & ~ c0_1(a593)
            & c2_1(a593)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp27
        | hskp13
        | hskp3 )
      & ( hskp24
        | hskp9 )
      & ( hskp18
        | hskp12
        | hskp10 )
      & ( hskp12
        | hskp9
        | hskp10 )
      & ( hskp2
        | hskp28
        | hskp10 )
      & ( hskp4
        | hskp21
        | hskp1 )
      & ( hskp24
        | hskp31
        | hskp1 )
      & ( hskp23
        | hskp25
        | hskp29 )
      & ( hskp26
        | hskp3
        | hskp30 )
      & ( hskp18
        | hskp5
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c1_1(X114) ) ) )
      & ( hskp2
        | hskp28
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp16
        | hskp29
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp22
        | hskp0
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp25
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c0_1(X110)
              | c3_1(X110) ) ) )
      & ( hskp4
        | hskp28
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp14
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp17
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c1_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp24
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp5
        | hskp10
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp6
        | hskp29
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c1_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp22
        | hskp23
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp22
        | hskp4
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp4
        | hskp8
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp18
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp28
        | hskp19
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp29
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp12
        | hskp13
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp5
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp21
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp20
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp12
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp7
        | hskp19
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp18
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp18
        | hskp17
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp12
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp4
        | hskp14
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp16
        | hskp15
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp29
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp8
        | hskp14
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp14
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp13
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp7
        | hskp28
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp5
        | hskp10
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp12
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp28
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp1
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp10
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp9
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp7
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c3_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp5
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp6
        | hskp5
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | ~ c0_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c3_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp4
        | hskp3
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp2
        | hskp28
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_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)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c1_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp0
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c0_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c0_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | c3_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c0_1(X5)
              | c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a672)
          & c2_1(a672)
          & c0_1(a672)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c2_1(a637)
          & c1_1(a637)
          & c0_1(a637)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a618)
          & c1_1(a618)
          & c0_1(a618)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a595)
          & c2_1(a595)
          & c1_1(a595)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a690)
          & ~ c2_1(a690)
          & ~ c1_1(a690)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a667)
          & ~ c1_1(a667)
          & ~ c0_1(a667)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a656)
          & c3_1(a656)
          & c1_1(a656)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a651)
          & c3_1(a651)
          & c1_1(a651)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a645)
          & ~ c0_1(a645)
          & c3_1(a645)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a644)
          & ~ c2_1(a644)
          & ~ c0_1(a644)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a631)
          & c3_1(a631)
          & c0_1(a631)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a630)
          & c3_1(a630)
          & c0_1(a630)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a627)
          & ~ c2_1(a627)
          & c0_1(a627)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a625)
          & ~ c0_1(a625)
          & c3_1(a625)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a624)
          & c1_1(a624)
          & c0_1(a624)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a620)
          & ~ c0_1(a620)
          & c1_1(a620)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a619)
          & ~ c1_1(a619)
          & c0_1(a619)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a615)
          & c2_1(a615)
          & c0_1(a615)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a614)
          & ~ c2_1(a614)
          & c1_1(a614)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a609)
          & ~ c1_1(a609)
          & c2_1(a609)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a608)
          & ~ c0_1(a608)
          & c1_1(a608)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a605)
          & c2_1(a605)
          & c0_1(a605)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a604)
          & c2_1(a604)
          & c1_1(a604)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a603)
          & ~ c1_1(a603)
          & c0_1(a603)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a602)
          & c3_1(a602)
          & c2_1(a602)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a600)
          & ~ c1_1(a600)
          & c3_1(a600)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a599)
          & c3_1(a599)
          & c2_1(a599)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a598)
          & ~ c1_1(a598)
          & ~ c0_1(a598)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a597)
          & c2_1(a597)
          & c1_1(a597)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a596)
          & ~ c0_1(a596)
          & c2_1(a596)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a594)
          & c1_1(a594)
          & c0_1(a594)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a593)
          & ~ c0_1(a593)
          & c2_1(a593)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1047,plain,
    ( ~ spl0_27
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f9,f1044,f358]) ).

fof(f9,plain,
    ( ~ c0_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1042,plain,
    ( ~ spl0_27
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f10,f1039,f358]) ).

fof(f10,plain,
    ( ~ c3_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1036,plain,
    ( ~ spl0_11
    | spl0_157 ),
    inference(avatar_split_clause,[],[f12,f1033,f291]) ).

fof(f291,plain,
    ( spl0_11
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f12,plain,
    ( c0_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1031,plain,
    ( ~ spl0_11
    | spl0_156 ),
    inference(avatar_split_clause,[],[f13,f1028,f291]) ).

fof(f13,plain,
    ( c1_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1026,plain,
    ( ~ spl0_11
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f14,f1023,f291]) ).

fof(f14,plain,
    ( ~ c3_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1021,plain,
    ( ~ spl0_10
    | spl0_20 ),
    inference(avatar_split_clause,[],[f15,f331,f286]) ).

fof(f286,plain,
    ( spl0_10
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f331,plain,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1004,plain,
    ( ~ spl0_1
    | spl0_151 ),
    inference(avatar_split_clause,[],[f20,f1001,f246]) ).

fof(f246,plain,
    ( spl0_1
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f20,plain,
    ( c1_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f999,plain,
    ( ~ spl0_1
    | spl0_150 ),
    inference(avatar_split_clause,[],[f21,f996,f246]) ).

fof(f21,plain,
    ( c2_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f994,plain,
    ( ~ spl0_1
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f22,f991,f246]) ).

fof(f22,plain,
    ( ~ c3_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f988,plain,
    ( ~ spl0_13
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f24,f985,f299]) ).

fof(f299,plain,
    ( spl0_13
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f24,plain,
    ( ~ c0_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f983,plain,
    ( ~ spl0_13
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f25,f980,f299]) ).

fof(f25,plain,
    ( ~ c1_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f978,plain,
    ( ~ spl0_13
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f26,f975,f299]) ).

fof(f26,plain,
    ( ~ c2_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f972,plain,
    ( ~ spl0_22
    | spl0_145 ),
    inference(avatar_split_clause,[],[f28,f969,f338]) ).

fof(f338,plain,
    ( spl0_22
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f28,plain,
    ( c2_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f967,plain,
    ( ~ spl0_22
    | spl0_144 ),
    inference(avatar_split_clause,[],[f29,f964,f338]) ).

fof(f29,plain,
    ( c3_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f962,plain,
    ( ~ spl0_22
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f30,f959,f338]) ).

fof(f30,plain,
    ( ~ c1_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f956,plain,
    ( ~ spl0_34
    | spl0_142 ),
    inference(avatar_split_clause,[],[f32,f953,f390]) ).

fof(f390,plain,
    ( spl0_34
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f32,plain,
    ( c3_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f951,plain,
    ( ~ spl0_34
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f33,f948,f390]) ).

fof(f33,plain,
    ( ~ c1_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f940,plain,
    ( ~ spl0_46
    | spl0_139 ),
    inference(avatar_split_clause,[],[f36,f937,f445]) ).

fof(f445,plain,
    ( spl0_46
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f36,plain,
    ( c2_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( ~ spl0_46
    | spl0_138 ),
    inference(avatar_split_clause,[],[f37,f932,f445]) ).

fof(f37,plain,
    ( c3_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f930,plain,
    ( ~ spl0_46
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f38,f927,f445]) ).

fof(f38,plain,
    ( ~ c0_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f924,plain,
    ( ~ spl0_37
    | spl0_136 ),
    inference(avatar_split_clause,[],[f40,f921,f403]) ).

fof(f403,plain,
    ( spl0_37
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f40,plain,
    ( c0_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_37
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f41,f916,f403]) ).

fof(f41,plain,
    ( ~ c1_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_37
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f42,f911,f403]) ).

fof(f42,plain,
    ( ~ c2_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_4
    | spl0_133 ),
    inference(avatar_split_clause,[],[f44,f905,f259]) ).

fof(f259,plain,
    ( spl0_4
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f44,plain,
    ( c1_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_4
    | spl0_132 ),
    inference(avatar_split_clause,[],[f45,f900,f259]) ).

fof(f45,plain,
    ( c2_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_4
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f46,f895,f259]) ).

fof(f46,plain,
    ( ~ c0_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_6
    | spl0_20 ),
    inference(avatar_split_clause,[],[f47,f331,f268]) ).

fof(f268,plain,
    ( spl0_6
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f47,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f892,plain,
    ( ~ spl0_6
    | spl0_130 ),
    inference(avatar_split_clause,[],[f48,f889,f268]) ).

fof(f48,plain,
    ( c0_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f887,plain,
    ( ~ spl0_6
    | spl0_129 ),
    inference(avatar_split_clause,[],[f49,f884,f268]) ).

fof(f49,plain,
    ( c2_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_6
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f50,f879,f268]) ).

fof(f50,plain,
    ( ~ c3_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f876,plain,
    ( ~ spl0_57
    | spl0_127 ),
    inference(avatar_split_clause,[],[f52,f873,f495]) ).

fof(f495,plain,
    ( spl0_57
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f52,plain,
    ( c1_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_57
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f53,f868,f495]) ).

fof(f53,plain,
    ( ~ c0_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_57
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f54,f863,f495]) ).

fof(f54,plain,
    ( ~ c3_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_7
    | spl0_124 ),
    inference(avatar_split_clause,[],[f56,f857,f272]) ).

fof(f272,plain,
    ( spl0_7
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f56,plain,
    ( c2_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_7
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f57,f852,f272]) ).

fof(f57,plain,
    ( ~ c1_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_7
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f58,f847,f272]) ).

fof(f58,plain,
    ( ~ c3_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f844,plain,
    ( ~ spl0_2
    | spl0_121 ),
    inference(avatar_split_clause,[],[f60,f841,f250]) ).

fof(f250,plain,
    ( spl0_2
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f60,plain,
    ( c1_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f839,plain,
    ( ~ spl0_2
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f61,f836,f250]) ).

fof(f61,plain,
    ( ~ c2_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( ~ spl0_2
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f62,f831,f250]) ).

fof(f62,plain,
    ( ~ c3_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f828,plain,
    ( ~ spl0_30
    | spl0_118 ),
    inference(avatar_split_clause,[],[f64,f825,f372]) ).

fof(f372,plain,
    ( spl0_30
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f64,plain,
    ( c0_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(avatar_split_clause,[],[f65,f820,f372]) ).

fof(f65,plain,
    ( c2_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_30
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f66,f815,f372]) ).

fof(f66,plain,
    ( ~ c1_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( ~ spl0_52
    | spl0_115 ),
    inference(avatar_split_clause,[],[f68,f809,f469]) ).

fof(f469,plain,
    ( spl0_52
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f68,plain,
    ( c0_1(a619)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_52
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f70,f799,f469]) ).

fof(f70,plain,
    ( ~ c3_1(a619)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( ~ spl0_25
    | spl0_112 ),
    inference(avatar_split_clause,[],[f72,f793,f350]) ).

fof(f350,plain,
    ( spl0_25
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f72,plain,
    ( c1_1(a620)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_25
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f73,f788,f350]) ).

fof(f73,plain,
    ( ~ c0_1(a620)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( ~ spl0_25
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f74,f783,f350]) ).

fof(f74,plain,
    ( ~ c2_1(a620)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f780,plain,
    ( ~ spl0_32
    | spl0_109 ),
    inference(avatar_split_clause,[],[f76,f777,f380]) ).

fof(f380,plain,
    ( spl0_32
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f76,plain,
    ( c0_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_32
    | spl0_108 ),
    inference(avatar_split_clause,[],[f77,f772,f380]) ).

fof(f77,plain,
    ( c1_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_32
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f78,f767,f380]) ).

fof(f78,plain,
    ( ~ c2_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f764,plain,
    ( ~ spl0_8
    | spl0_106 ),
    inference(avatar_split_clause,[],[f80,f761,f276]) ).

fof(f276,plain,
    ( spl0_8
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f80,plain,
    ( c3_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f759,plain,
    ( ~ spl0_8
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f81,f756,f276]) ).

fof(f81,plain,
    ( ~ c0_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_8
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f82,f751,f276]) ).

fof(f82,plain,
    ( ~ c1_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_40
    | spl0_103 ),
    inference(avatar_split_clause,[],[f84,f745,f416]) ).

fof(f416,plain,
    ( spl0_40
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f84,plain,
    ( c0_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f743,plain,
    ( ~ spl0_40
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f85,f740,f416]) ).

fof(f85,plain,
    ( ~ c2_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( ~ spl0_40
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f86,f735,f416]) ).

fof(f86,plain,
    ( ~ c3_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( ~ spl0_43
    | spl0_100 ),
    inference(avatar_split_clause,[],[f88,f729,f433]) ).

fof(f433,plain,
    ( spl0_43
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f88,plain,
    ( c0_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_43
    | spl0_99 ),
    inference(avatar_split_clause,[],[f89,f724,f433]) ).

fof(f89,plain,
    ( c3_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f722,plain,
    ( ~ spl0_43
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f90,f719,f433]) ).

fof(f90,plain,
    ( ~ c2_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f716,plain,
    ( ~ spl0_12
    | spl0_97 ),
    inference(avatar_split_clause,[],[f92,f713,f295]) ).

fof(f295,plain,
    ( spl0_12
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f92,plain,
    ( c0_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( ~ spl0_12
    | spl0_96 ),
    inference(avatar_split_clause,[],[f93,f708,f295]) ).

fof(f93,plain,
    ( c3_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( ~ spl0_12
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f94,f703,f295]) ).

fof(f94,plain,
    ( ~ c1_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_28
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f96,f697,f362]) ).

fof(f362,plain,
    ( spl0_28
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f96,plain,
    ( ~ c0_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl0_28
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f97,f692,f362]) ).

fof(f97,plain,
    ( ~ c2_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_28
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f98,f687,f362]) ).

fof(f98,plain,
    ( ~ c3_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl0_5
    | spl0_88 ),
    inference(avatar_split_clause,[],[f104,f665,f263]) ).

fof(f263,plain,
    ( spl0_5
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f104,plain,
    ( c1_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_5
    | spl0_87 ),
    inference(avatar_split_clause,[],[f105,f660,f263]) ).

fof(f105,plain,
    ( c3_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_5
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f655,f263]) ).

fof(f106,plain,
    ( ~ c2_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f652,plain,
    ( ~ spl0_16
    | spl0_85 ),
    inference(avatar_split_clause,[],[f108,f649,f313]) ).

fof(f313,plain,
    ( spl0_16
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f108,plain,
    ( c1_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f647,plain,
    ( ~ spl0_16
    | spl0_84 ),
    inference(avatar_split_clause,[],[f109,f644,f313]) ).

fof(f109,plain,
    ( c3_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_16
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f639,f313]) ).

fof(f110,plain,
    ( ~ c0_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f636,plain,
    ( ~ spl0_19
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f112,f633,f326]) ).

fof(f326,plain,
    ( spl0_19
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f112,plain,
    ( ~ c0_1(a667)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_19
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f113,f628,f326]) ).

fof(f113,plain,
    ( ~ c1_1(a667)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl0_19
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f114,f623,f326]) ).

fof(f114,plain,
    ( ~ c3_1(a667)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_9
    | spl0_20 ),
    inference(avatar_split_clause,[],[f119,f331,f282]) ).

fof(f282,plain,
    ( spl0_9
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

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

fof(f604,plain,
    ( ~ spl0_9
    | spl0_76 ),
    inference(avatar_split_clause,[],[f120,f601,f282]) ).

fof(f120,plain,
    ( c1_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_9
    | spl0_75 ),
    inference(avatar_split_clause,[],[f121,f596,f282]) ).

fof(f121,plain,
    ( c2_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_9
    | spl0_74 ),
    inference(avatar_split_clause,[],[f122,f591,f282]) ).

fof(f122,plain,
    ( c3_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_15
    | spl0_73 ),
    inference(avatar_split_clause,[],[f124,f585,f309]) ).

fof(f309,plain,
    ( spl0_15
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f124,plain,
    ( c0_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_15
    | spl0_72 ),
    inference(avatar_split_clause,[],[f125,f580,f309]) ).

fof(f125,plain,
    ( c1_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_15
    | spl0_71 ),
    inference(avatar_split_clause,[],[f126,f575,f309]) ).

fof(f126,plain,
    ( c3_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( ~ spl0_18
    | spl0_70 ),
    inference(avatar_split_clause,[],[f128,f569,f322]) ).

fof(f322,plain,
    ( spl0_18
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f128,plain,
    ( c0_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_18
    | spl0_69 ),
    inference(avatar_split_clause,[],[f129,f564,f322]) ).

fof(f129,plain,
    ( c1_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_18
    | spl0_68 ),
    inference(avatar_split_clause,[],[f130,f559,f322]) ).

fof(f130,plain,
    ( c2_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(avatar_split_clause,[],[f132,f553,f304]) ).

fof(f304,plain,
    ( spl0_14
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f132,plain,
    ( c0_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( ~ spl0_14
    | spl0_66 ),
    inference(avatar_split_clause,[],[f133,f548,f304]) ).

fof(f133,plain,
    ( c2_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( ~ spl0_14
    | spl0_65 ),
    inference(avatar_split_clause,[],[f134,f543,f304]) ).

fof(f134,plain,
    ( c3_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f540,plain,
    ( spl0_64
    | spl0_61
    | ~ spl0_20
    | spl0_29 ),
    inference(avatar_split_clause,[],[f208,f367,f331,f518,f535]) ).

fof(f208,plain,
    ! [X111,X109,X110] :
      ( ~ c2_1(X109)
      | ~ c0_1(X109)
      | c3_1(X109)
      | ~ ndr1_0
      | ~ c3_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | c2_1(X111)
      | c1_1(X111)
      | c0_1(X111) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X111,X109,X110] :
      ( ~ c2_1(X109)
      | ~ c0_1(X109)
      | c3_1(X109)
      | ~ ndr1_0
      | ~ c3_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | c2_1(X111)
      | c1_1(X111)
      | c0_1(X111)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f539,plain,
    ( spl0_64
    | spl0_39
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f209,f395,f331,f413,f535]) ).

fof(f209,plain,
    ! [X108,X106,X107] :
      ( ~ c3_1(X106)
      | ~ c0_1(X106)
      | c2_1(X106)
      | ~ ndr1_0
      | ~ c0_1(X107)
      | c3_1(X107)
      | c2_1(X107)
      | c2_1(X108)
      | c1_1(X108)
      | c0_1(X108) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X108,X106,X107] :
      ( ~ c3_1(X106)
      | ~ c0_1(X106)
      | c2_1(X106)
      | ~ ndr1_0
      | ~ c0_1(X107)
      | c3_1(X107)
      | c2_1(X107)
      | ~ ndr1_0
      | c2_1(X108)
      | c1_1(X108)
      | c0_1(X108)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( spl0_64
    | ~ spl0_20
    | spl0_29
    | spl0_27 ),
    inference(avatar_split_clause,[],[f210,f358,f367,f331,f535]) ).

fof(f210,plain,
    ! [X104,X105] :
      ( hskp0
      | ~ c2_1(X104)
      | ~ c0_1(X104)
      | c3_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | c1_1(X105)
      | c0_1(X105) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X104,X105] :
      ( hskp0
      | ~ c2_1(X104)
      | ~ c0_1(X104)
      | c3_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | c1_1(X105)
      | c0_1(X105)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( spl0_64
    | spl0_26
    | ~ spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f211,f347,f331,f355,f535]) ).

fof(f211,plain,
    ! [X101,X102,X103] :
      ( ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | ~ ndr1_0
      | ~ c2_1(X102)
      | ~ c1_1(X102)
      | c3_1(X102)
      | c2_1(X103)
      | c1_1(X103)
      | c0_1(X103) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X101,X102,X103] :
      ( ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | ~ ndr1_0
      | ~ c2_1(X102)
      | ~ c1_1(X102)
      | c3_1(X102)
      | ~ ndr1_0
      | c2_1(X103)
      | c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_61
    | spl0_60
    | ~ spl0_20
    | spl0_51 ),
    inference(avatar_split_clause,[],[f214,f466,f331,f512,f518]) ).

fof(f214,plain,
    ! [X91,X92,X93] :
      ( ~ c3_1(X91)
      | ~ c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X91,X92,X93] :
      ( ~ c3_1(X91)
      | ~ c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | c3_1(X92)
      | c2_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_61
    | spl0_58
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f215,f377,f331,f500,f518]) ).

fof(f215,plain,
    ! [X90,X88,X89] :
      ( ~ c1_1(X88)
      | ~ c0_1(X88)
      | c3_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | c3_1(X89)
      | c0_1(X89)
      | ~ c3_1(X90)
      | c1_1(X90)
      | c0_1(X90) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X90,X88,X89] :
      ( ~ c1_1(X88)
      | ~ c0_1(X88)
      | c3_1(X88)
      | ~ ndr1_0
      | ~ c1_1(X89)
      | c3_1(X89)
      | c0_1(X89)
      | ~ ndr1_0
      | ~ c3_1(X90)
      | c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_61
    | spl0_51
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f216,f395,f331,f466,f518]) ).

fof(f216,plain,
    ! [X86,X87,X85] :
      ( ~ c3_1(X85)
      | ~ c0_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c2_1(X86)
      | c0_1(X86)
      | ~ c3_1(X87)
      | c1_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X86,X87,X85] :
      ( ~ c3_1(X85)
      | ~ c0_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c2_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( spl0_60
    | spl0_39
    | ~ spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f218,f347,f331,f413,f512]) ).

fof(f218,plain,
    ! [X80,X81,X79] :
      ( ~ c2_1(X79)
      | ~ c1_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | c3_1(X80)
      | c2_1(X80)
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X80,X81,X79] :
      ( ~ c2_1(X79)
      | ~ c1_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | c3_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( spl0_59
    | spl0_45
    | ~ spl0_20
    | spl0_23 ),
    inference(avatar_split_clause,[],[f221,f343,f331,f442,f505]) ).

fof(f221,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c3_1(X73)
      | c1_1(X73)
      | ~ c1_1(X74)
      | c2_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X72,X73,X74] :
      ( ~ c3_1(X72)
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c3_1(X73)
      | c1_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( spl0_59
    | ~ spl0_20
    | spl0_23
    | spl0_4 ),
    inference(avatar_split_clause,[],[f222,f259,f343,f331,f505]) ).

fof(f222,plain,
    ! [X70,X71] :
      ( hskp9
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | ~ c1_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X70,X71] :
      ( hskp9
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | ~ c1_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_59
    | ~ spl0_20
    | spl0_21
    | spl0_6 ),
    inference(avatar_split_clause,[],[f223,f268,f335,f331,f505]) ).

fof(f223,plain,
    ! [X68,X69] :
      ( hskp10
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | ~ c1_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c2_1(X69)
      | c0_1(X69) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X68,X69] :
      ( hskp10
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | ~ c1_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_58
    | ~ spl0_20
    | spl0_42
    | spl0_11 ),
    inference(avatar_split_clause,[],[f224,f291,f427,f331,f500]) ).

fof(f224,plain,
    ! [X66,X67] :
      ( hskp1
      | ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X66,X67] :
      ( hskp1
      | ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( spl0_58
    | ~ spl0_20
    | spl0_33
    | spl0_9 ),
    inference(avatar_split_clause,[],[f225,f282,f386,f331,f500]) ).

fof(f225,plain,
    ! [X65,X64] :
      ( hskp28
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X65,X64] :
      ( hskp28
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_55
    | ~ spl0_20
    | spl0_56
    | spl0_57 ),
    inference(avatar_split_clause,[],[f226,f495,f492,f331,f486]) ).

fof(f226,plain,
    ! [X62,X63] :
      ( hskp11
      | ~ c0_1(X62)
      | c3_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X62,X63] :
      ( hskp11
      | ~ c0_1(X62)
      | c3_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( spl0_55
    | ~ spl0_20
    | spl0_33
    | spl0_7 ),
    inference(avatar_split_clause,[],[f227,f272,f386,f331,f486]) ).

fof(f227,plain,
    ! [X60,X61] :
      ( hskp12
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X60,X61] :
      ( hskp12
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_20
    | spl0_55
    | spl0_6
    | spl0_22 ),
    inference(avatar_split_clause,[],[f159,f338,f268,f486,f331]) ).

fof(f159,plain,
    ! [X59] :
      ( hskp5
      | hskp10
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( ~ spl0_20
    | spl0_55
    | spl0_9
    | spl0_46 ),
    inference(avatar_split_clause,[],[f160,f445,f282,f486,f331]) ).

fof(f160,plain,
    ! [X58] :
      ( hskp7
      | hskp28
      | ~ c2_1(X58)
      | c3_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_54
    | spl0_53
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f228,f335,f331,f476,f481]) ).

fof(f228,plain,
    ! [X56,X57,X55] :
      ( ~ c3_1(X55)
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ c2_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X56,X57,X55] :
      ( ~ c3_1(X55)
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | ~ c3_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_54
    | ~ spl0_20
    | spl0_35
    | spl0_2 ),
    inference(avatar_split_clause,[],[f229,f250,f395,f331,f481]) ).

fof(f229,plain,
    ! [X54,X53] :
      ( hskp13
      | ~ c3_1(X53)
      | ~ c0_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X54,X53] :
      ( hskp13
      | ~ c3_1(X53)
      | ~ c0_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( ~ spl0_20
    | spl0_53
    | spl0_30
    | spl0_37 ),
    inference(avatar_split_clause,[],[f164,f403,f372,f476,f331]) ).

fof(f164,plain,
    ! [X50] :
      ( hskp8
      | hskp14
      | ~ c3_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_51
    | spl0_38
    | ~ spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f231,f347,f331,f409,f466]) ).

fof(f231,plain,
    ! [X48,X49,X47] :
      ( ~ c2_1(X47)
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | ~ ndr1_0
      | ~ c1_1(X48)
      | c3_1(X48)
      | c2_1(X48)
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X48,X49,X47] :
      ( ~ c2_1(X47)
      | ~ c1_1(X47)
      | ~ c0_1(X47)
      | ~ ndr1_0
      | ~ c1_1(X48)
      | c3_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_51
    | ~ spl0_20
    | spl0_24
    | spl0_15 ),
    inference(avatar_split_clause,[],[f232,f309,f347,f331,f466]) ).

fof(f232,plain,
    ! [X46,X45] :
      ( hskp29
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X46,X45] :
      ( hskp29
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( ~ spl0_20
    | spl0_51
    | spl0_52
    | spl0_25 ),
    inference(avatar_split_clause,[],[f167,f350,f469,f466,f331]) ).

fof(f167,plain,
    ! [X44] :
      ( hskp16
      | hskp15
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_45
    | ~ spl0_20
    | spl0_47
    | spl0_8 ),
    inference(avatar_split_clause,[],[f234,f276,f450,f331,f442]) ).

fof(f234,plain,
    ! [X38,X39] :
      ( hskp18
      | ~ c3_1(X38)
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | ~ c2_1(X39)
      | c3_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X38,X39] :
      ( hskp18
      | ~ c3_1(X38)
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | ~ c2_1(X39)
      | c3_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl0_20
    | spl0_45
    | spl0_40
    | spl0_46 ),
    inference(avatar_split_clause,[],[f172,f445,f416,f442,f331]) ).

fof(f172,plain,
    ! [X37] :
      ( hskp7
      | hskp19
      | ~ c2_1(X37)
      | c3_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( spl0_44
    | ~ spl0_20
    | spl0_36
    | spl0_7 ),
    inference(avatar_split_clause,[],[f235,f272,f399,f331,f438]) ).

fof(f235,plain,
    ! [X36,X35] :
      ( hskp12
      | ~ c1_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X36,X35] :
      ( hskp12
      | ~ c1_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_42
    | ~ spl0_20
    | spl0_39
    | spl0_43 ),
    inference(avatar_split_clause,[],[f236,f433,f413,f331,f427]) ).

fof(f236,plain,
    ! [X34,X33] :
      ( hskp20
      | ~ c0_1(X33)
      | c3_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X34,X33] :
      ( hskp20
      | ~ c0_1(X33)
      | c3_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_42
    | spl0_38
    | ~ spl0_20
    | spl0_26 ),
    inference(avatar_split_clause,[],[f237,f355,f331,f409,f427]) ).

fof(f237,plain,
    ! [X31,X32,X30] :
      ( ~ c2_1(X30)
      | ~ c1_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c1_1(X31)
      | c3_1(X31)
      | c2_1(X31)
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X31,X32,X30] :
      ( ~ c2_1(X30)
      | ~ c1_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c1_1(X31)
      | c3_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f425,plain,
    ( ~ spl0_20
    | spl0_41
    | spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f178,f272,f250,f423,f331]) ).

fof(f178,plain,
    ! [X26] :
      ( hskp12
      | hskp13
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f421,plain,
    ( spl0_39
    | ~ spl0_20
    | spl0_36
    | spl0_15 ),
    inference(avatar_split_clause,[],[f239,f309,f399,f331,f413]) ).

fof(f239,plain,
    ! [X24,X25] :
      ( hskp29
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | c3_1(X25)
      | c2_1(X25) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X24,X25] :
      ( hskp29
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | c3_1(X25)
      | c2_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( spl0_39
    | ~ spl0_20
    | spl0_23
    | spl0_18 ),
    inference(avatar_split_clause,[],[f240,f322,f343,f331,f413]) ).

fof(f240,plain,
    ! [X22,X23] :
      ( hskp30
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | c3_1(X23)
      | c2_1(X23) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X22,X23] :
      ( hskp30
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | c3_1(X23)
      | c2_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( ~ spl0_20
    | spl0_39
    | spl0_40
    | spl0_9 ),
    inference(avatar_split_clause,[],[f181,f282,f416,f413,f331]) ).

fof(f181,plain,
    ! [X21] :
      ( hskp28
      | hskp19
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f411,plain,
    ( spl0_38
    | spl0_24
    | ~ spl0_20
    | spl0_23 ),
    inference(avatar_split_clause,[],[f241,f343,f331,f347,f409]) ).

fof(f241,plain,
    ! [X18,X19,X20] :
      ( ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ c1_1(X20)
      | c3_1(X20)
      | c2_1(X20) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X18,X19,X20] :
      ( ~ c3_1(X18)
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ c2_1(X19)
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f407,plain,
    ( spl0_36
    | ~ spl0_20
    | spl0_24
    | spl0_8 ),
    inference(avatar_split_clause,[],[f242,f276,f347,f331,f399]) ).

fof(f242,plain,
    ! [X16,X17] :
      ( hskp18
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | ~ ndr1_0
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | c2_1(X17) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X16,X17] :
      ( hskp18
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | ~ ndr1_0
      | ~ c1_1(X17)
      | ~ c0_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( ~ spl0_20
    | spl0_36
    | spl0_13
    | spl0_28 ),
    inference(avatar_split_clause,[],[f185,f362,f299,f399,f331]) ).

fof(f185,plain,
    ! [X14] :
      ( hskp22
      | hskp4
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( ~ spl0_20
    | spl0_33
    | spl0_15
    | spl0_34 ),
    inference(avatar_split_clause,[],[f187,f390,f309,f386,f331]) ).

fof(f187,plain,
    ! [X12] :
      ( hskp6
      | hskp29
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f384,plain,
    ( spl0_31
    | ~ spl0_20
    | spl0_23
    | spl0_5 ),
    inference(avatar_split_clause,[],[f243,f263,f343,f331,f377]) ).

fof(f243,plain,
    ! [X10,X9] :
      ( hskp24
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X10,X9] :
      ( hskp24
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( spl0_31
    | ~ spl0_20
    | spl0_21
    | spl0_32 ),
    inference(avatar_split_clause,[],[f244,f380,f335,f331,f377]) ).

fof(f244,plain,
    ! [X8,X7] :
      ( hskp17
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ ndr1_0
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X8,X7] :
      ( hskp17
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ ndr1_0
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f375,plain,
    ( ~ spl0_20
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f191,f372,f367,f331]) ).

fof(f191,plain,
    ! [X6] :
      ( hskp14
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( ~ spl0_20
    | spl0_29
    | spl0_9
    | spl0_13 ),
    inference(avatar_split_clause,[],[f192,f299,f282,f367,f331]) ).

fof(f192,plain,
    ! [X5] :
      ( hskp4
      | hskp28
      | ~ c2_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( ~ spl0_20
    | spl0_29
    | spl0_16 ),
    inference(avatar_split_clause,[],[f193,f313,f367,f331]) ).

fof(f193,plain,
    ! [X4] :
      ( hskp25
      | ~ c2_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f194,f362,f358,f355,f331]) ).

fof(f194,plain,
    ! [X3] :
      ( hskp22
      | hskp0
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_22
    | spl0_8 ),
    inference(avatar_split_clause,[],[f197,f276,f338,f335,f331]) ).

fof(f197,plain,
    ! [X0] :
      ( hskp18
      | hskp5
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f329,plain,
    ( spl0_18
    | spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f198,f326,f246,f322]) ).

fof(f198,plain,
    ( hskp26
    | hskp3
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f307,plain,
    ( spl0_11
    | spl0_14
    | spl0_5 ),
    inference(avatar_split_clause,[],[f200,f263,f304,f291]) ).

fof(f200,plain,
    ( hskp24
    | hskp31
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f201,f299,f295,f291]) ).

fof(f201,plain,
    ( hskp4
    | hskp21
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    ( spl0_6
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f202,f286,f282,f268]) ).

fof(f202,plain,
    ( hskp2
    | hskp28
    | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    ( spl0_6
    | spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f203,f272,f259,f268]) ).

fof(f203,plain,
    ( hskp12
    | hskp9
    | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f279,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f204,f276,f272,f268]) ).

fof(f204,plain,
    ( hskp18
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f266,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f205,f263,f259]) ).

fof(f205,plain,
    ( hskp24
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN471+1 : TPTP v8.2.0. Released v2.1.0.
% 0.08/0.14  % 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
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 14:02:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.35  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/benchmark/theBenchmark.p
% 0.53/0.72  % (3792)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.53/0.72  % (3785)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 theBenchmark for (2996ds/34Mi)
% 0.53/0.72  % (3787)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.72  % (3786)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 theBenchmark for (2996ds/51Mi)
% 0.53/0.72  % (3788)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.72  % (3789)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 theBenchmark for (2996ds/34Mi)
% 0.53/0.72  % (3790)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.72  % (3791)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 theBenchmark for (2996ds/83Mi)
% 0.53/0.74  % (3788)Instruction limit reached!
% 0.53/0.74  % (3788)------------------------------
% 0.53/0.74  % (3788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3788)Termination reason: Unknown
% 0.53/0.74  % (3788)Termination phase: Saturation
% 0.53/0.74  
% 0.53/0.74  % (3788)Memory used [KB]: 2134
% 0.53/0.74  % (3788)Time elapsed: 0.020 s
% 0.53/0.74  % (3788)Instructions burned: 33 (million)
% 0.53/0.74  % (3788)------------------------------
% 0.53/0.74  % (3788)------------------------------
% 0.53/0.74  % (3792)Instruction limit reached!
% 0.53/0.74  % (3792)------------------------------
% 0.53/0.74  % (3792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3792)Termination reason: Unknown
% 0.53/0.74  % (3792)Termination phase: Saturation
% 0.53/0.74  
% 0.53/0.74  % (3792)Memory used [KB]: 2385
% 0.53/0.74  % (3792)Time elapsed: 0.021 s
% 0.53/0.74  % (3792)Instructions burned: 56 (million)
% 0.53/0.74  % (3792)------------------------------
% 0.53/0.74  % (3792)------------------------------
% 0.53/0.74  % (3785)Instruction limit reached!
% 0.53/0.74  % (3785)------------------------------
% 0.53/0.74  % (3785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3785)Termination reason: Unknown
% 0.53/0.74  % (3785)Termination phase: Saturation
% 0.53/0.74  
% 0.53/0.74  % (3785)Memory used [KB]: 2066
% 0.53/0.74  % (3785)Time elapsed: 0.021 s
% 0.53/0.74  % (3785)Instructions burned: 34 (million)
% 0.53/0.74  % (3785)------------------------------
% 0.53/0.74  % (3785)------------------------------
% 0.53/0.74  % (3789)Instruction limit reached!
% 0.53/0.74  % (3789)------------------------------
% 0.53/0.74  % (3789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3789)Termination reason: Unknown
% 0.53/0.74  % (3789)Termination phase: Saturation
% 0.53/0.74  
% 0.53/0.74  % (3789)Memory used [KB]: 2101
% 0.53/0.74  % (3789)Time elapsed: 0.021 s
% 0.53/0.74  % (3789)Instructions burned: 34 (million)
% 0.53/0.74  % (3789)------------------------------
% 0.53/0.74  % (3789)------------------------------
% 0.53/0.74  % (3793)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 theBenchmark for (2996ds/55Mi)
% 0.53/0.74  % (3794)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 theBenchmark for (2996ds/50Mi)
% 0.53/0.74  % (3795)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.53/0.74  % (3796)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 theBenchmark for (2996ds/52Mi)
% 0.53/0.74  % (3786)First to succeed.
% 0.53/0.74  % (3790)Instruction limit reached!
% 0.53/0.74  % (3790)------------------------------
% 0.53/0.74  % (3790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3790)Termination reason: Unknown
% 0.53/0.74  % (3790)Termination phase: Saturation
% 0.53/0.74  
% 0.53/0.74  % (3790)Memory used [KB]: 2305
% 0.53/0.74  % (3790)Time elapsed: 0.028 s
% 0.53/0.74  % (3790)Instructions burned: 46 (million)
% 0.53/0.74  % (3790)------------------------------
% 0.53/0.74  % (3790)------------------------------
% 0.68/0.75  % (3797)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.68/0.76  % (3786)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3784"
% 0.68/0.76  % (3793)Instruction limit reached!
% 0.68/0.76  % (3793)------------------------------
% 0.68/0.76  % (3793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (3793)Termination reason: Unknown
% 0.68/0.76  % (3786)Refutation found. Thanks to Tanya!
% 0.68/0.76  % SZS status Theorem for theBenchmark
% 0.68/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.77  % (3786)------------------------------
% 0.68/0.77  % (3786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (3786)Termination reason: Refutation
% 0.68/0.77  
% 0.68/0.77  % (3786)Memory used [KB]: 1961
% 0.68/0.77  % (3786)Time elapsed: 0.041 s
% 0.68/0.77  % (3786)Instructions burned: 72 (million)
% 0.68/0.77  % (3784)Success in time 0.39 s
% 0.68/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------