TSTP Solution File: SYN450+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN450+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 08:22:41 EDT 2024

% Result   : Theorem 0.68s 0.78s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  127
% Syntax   : Number of formulae    :  540 (   1 unt;   0 def)
%            Number of atoms       : 5405 (   0 equ)
%            Maximal formula atoms :  599 (  10 avg)
%            Number of connectives : 7272 (2407   ~;3305   |;1074   &)
%                                         ( 126 <=>; 360  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  162 ( 161 usr; 158 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  688 ( 688   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2523,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f259,f264,f280,f292,f309,f319,f327,f335,f336,f353,f355,f356,f361,f373,f378,f385,f389,f393,f419,f423,f424,f432,f441,f447,f448,f452,f461,f465,f466,f468,f472,f473,f493,f498,f503,f509,f514,f519,f557,f562,f567,f573,f578,f583,f589,f594,f599,f605,f610,f615,f637,f642,f647,f653,f658,f663,f669,f674,f679,f680,f685,f690,f695,f765,f770,f775,f781,f786,f791,f797,f802,f807,f829,f834,f839,f845,f850,f855,f856,f861,f866,f871,f877,f882,f887,f893,f898,f903,f909,f914,f919,f925,f930,f935,f941,f946,f951,f952,f972,f981,f988,f1002,f1016,f1036,f1097,f1106,f1112,f1157,f1167,f1173,f1174,f1182,f1192,f1202,f1204,f1205,f1211,f1216,f1236,f1282,f1288,f1302,f1324,f1354,f1370,f1415,f1418,f1432,f1451,f1479,f1510,f1607,f1609,f1614,f1624,f1633,f1653,f1654,f1658,f1660,f1702,f1723,f1725,f1733,f1831,f1873,f1992,f2001,f2010,f2080,f2095,f2117,f2192,f2255,f2360,f2368,f2369,f2401,f2466,f2467,f2469,f2474,f2519,f2520]) ).

fof(f2520,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2512,f772,f403,f767,f762]) ).

fof(f762,plain,
    ( spl0_113
  <=> c2_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f767,plain,
    ( spl0_114
  <=> c1_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f403,plain,
    ( spl0_44
  <=> ! [X35] :
        ( ~ c0_1(X35)
        | c1_1(X35)
        | c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f772,plain,
    ( spl0_115
  <=> c0_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2512,plain,
    ( c1_1(a660)
    | c2_1(a660)
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(resolution,[],[f404,f774]) ).

fof(f774,plain,
    ( c0_1(a660)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f404,plain,
    ( ! [X35] :
        ( ~ c0_1(X35)
        | c1_1(X35)
        | c2_1(X35) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f2519,plain,
    ( spl0_132
    | spl0_179
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2508,f868,f403,f1917,f863]) ).

fof(f863,plain,
    ( spl0_132
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1917,plain,
    ( spl0_179
  <=> c1_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f868,plain,
    ( spl0_133
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2508,plain,
    ( c1_1(a648)
    | c2_1(a648)
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(resolution,[],[f404,f870]) ).

fof(f870,plain,
    ( c0_1(a648)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f2474,plain,
    ( spl0_131
    | spl0_179
    | ~ spl0_40
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2472,f868,f387,f1917,f858]) ).

fof(f858,plain,
    ( spl0_131
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f387,plain,
    ( spl0_40
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c3_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2472,plain,
    ( c1_1(a648)
    | c3_1(a648)
    | ~ spl0_40
    | ~ spl0_133 ),
    inference(resolution,[],[f870,f388]) ).

fof(f388,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | c1_1(X29)
        | c3_1(X29) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f2469,plain,
    ( ~ spl0_90
    | spl0_176
    | ~ spl0_48
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2444,f644,f421,f1611,f639]) ).

fof(f639,plain,
    ( spl0_90
  <=> c2_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1611,plain,
    ( spl0_176
  <=> c0_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f421,plain,
    ( spl0_48
  <=> ! [X47] :
        ( ~ c2_1(X47)
        | c0_1(X47)
        | ~ c1_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f644,plain,
    ( spl0_91
  <=> c1_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2444,plain,
    ( c0_1(a686)
    | ~ c2_1(a686)
    | ~ spl0_48
    | ~ spl0_91 ),
    inference(resolution,[],[f422,f646]) ).

fof(f646,plain,
    ( c1_1(a686)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f422,plain,
    ( ! [X47] :
        ( ~ c1_1(X47)
        | c0_1(X47)
        | ~ c2_1(X47) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f2467,plain,
    ( spl0_165
    | spl0_81
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2460,f596,f470,f591,f1233]) ).

fof(f1233,plain,
    ( spl0_165
  <=> c1_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f591,plain,
    ( spl0_81
  <=> c0_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f470,plain,
    ( spl0_58
  <=> ! [X79] :
        ( ~ c2_1(X79)
        | c0_1(X79)
        | c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f596,plain,
    ( spl0_82
  <=> c2_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2460,plain,
    ( c0_1(a695)
    | c1_1(a695)
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(resolution,[],[f471,f598]) ).

fof(f598,plain,
    ( c2_1(a695)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f471,plain,
    ( ! [X79] :
        ( ~ c2_1(X79)
        | c0_1(X79)
        | c1_1(X79) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f2466,plain,
    ( spl0_99
    | spl0_167
    | ~ spl0_58
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2457,f692,f470,f1284,f687]) ).

fof(f687,plain,
    ( spl0_99
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1284,plain,
    ( spl0_167
  <=> c0_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f692,plain,
    ( spl0_100
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2457,plain,
    ( c0_1(a675)
    | c1_1(a675)
    | ~ spl0_58
    | ~ spl0_100 ),
    inference(resolution,[],[f471,f694]) ).

fof(f694,plain,
    ( c2_1(a675)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f2401,plain,
    ( spl0_161
    | spl0_143
    | ~ spl0_51
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2398,f932,f434,f922,f1154]) ).

fof(f1154,plain,
    ( spl0_161
  <=> c3_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f922,plain,
    ( spl0_143
  <=> c0_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f434,plain,
    ( spl0_51
  <=> ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | c3_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f932,plain,
    ( spl0_145
  <=> c1_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2398,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ spl0_51
    | ~ spl0_145 ),
    inference(resolution,[],[f934,f435]) ).

fof(f435,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | c3_1(X52) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f934,plain,
    ( c1_1(a643)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f2369,plain,
    ( spl0_154
    | spl0_83
    | ~ spl0_57
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2354,f607,f463,f602,f1004]) ).

fof(f1004,plain,
    ( spl0_154
  <=> c1_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f602,plain,
    ( spl0_83
  <=> c0_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f463,plain,
    ( spl0_57
  <=> ! [X72] :
        ( ~ c3_1(X72)
        | c0_1(X72)
        | c1_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f607,plain,
    ( spl0_84
  <=> c3_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2354,plain,
    ( c0_1(a693)
    | c1_1(a693)
    | ~ spl0_57
    | ~ spl0_84 ),
    inference(resolution,[],[f464,f609]) ).

fof(f609,plain,
    ( c3_1(a693)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f464,plain,
    ( ! [X72] :
        ( ~ c3_1(X72)
        | c0_1(X72)
        | c1_1(X72) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f2368,plain,
    ( spl0_93
    | spl0_171
    | ~ spl0_57
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2353,f660,f463,f1373,f655]) ).

fof(f655,plain,
    ( spl0_93
  <=> c1_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1373,plain,
    ( spl0_171
  <=> c0_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f660,plain,
    ( spl0_94
  <=> c3_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2353,plain,
    ( c0_1(a682)
    | c1_1(a682)
    | ~ spl0_57
    | ~ spl0_94 ),
    inference(resolution,[],[f464,f662]) ).

fof(f662,plain,
    ( c3_1(a682)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f2360,plain,
    ( spl0_128
    | spl0_129
    | ~ spl0_57
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2344,f852,f463,f847,f842]) ).

fof(f842,plain,
    ( spl0_128
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f847,plain,
    ( spl0_129
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f852,plain,
    ( spl0_130
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2344,plain,
    ( c0_1(a651)
    | c1_1(a651)
    | ~ spl0_57
    | ~ spl0_130 ),
    inference(resolution,[],[f464,f854]) ).

fof(f854,plain,
    ( c3_1(a651)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f2255,plain,
    ( ~ spl0_64
    | ~ spl0_62
    | ~ spl0_56
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2252,f1328,f459,f490,f500]) ).

fof(f500,plain,
    ( spl0_64
  <=> c1_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f490,plain,
    ( spl0_62
  <=> c3_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f459,plain,
    ( spl0_56
  <=> ! [X68] :
        ( ~ c3_1(X68)
        | ~ c0_1(X68)
        | ~ c1_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1328,plain,
    ( spl0_168
  <=> c0_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2252,plain,
    ( ~ c3_1(a688)
    | ~ c1_1(a688)
    | ~ spl0_56
    | ~ spl0_168 ),
    inference(resolution,[],[f460,f1330]) ).

fof(f1330,plain,
    ( c0_1(a688)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f460,plain,
    ( ! [X68] :
        ( ~ c0_1(X68)
        | ~ c3_1(X68)
        | ~ c1_1(X68) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f2192,plain,
    ( ~ spl0_63
    | spl0_168
    | ~ spl0_48
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2189,f500,f421,f1328,f495]) ).

fof(f495,plain,
    ( spl0_63
  <=> c2_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2189,plain,
    ( c0_1(a688)
    | ~ c2_1(a688)
    | ~ spl0_48
    | ~ spl0_64 ),
    inference(resolution,[],[f422,f502]) ).

fof(f502,plain,
    ( c1_1(a688)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f2117,plain,
    ( spl0_138
    | spl0_137
    | ~ spl0_45
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2100,f900,f407,f890,f895]) ).

fof(f895,plain,
    ( spl0_138
  <=> c2_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f890,plain,
    ( spl0_137
  <=> c3_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f407,plain,
    ( spl0_45
  <=> ! [X37] :
        ( c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f900,plain,
    ( spl0_139
  <=> c1_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2100,plain,
    ( c3_1(a646)
    | c2_1(a646)
    | ~ spl0_45
    | spl0_139 ),
    inference(resolution,[],[f408,f902]) ).

fof(f902,plain,
    ( ~ c1_1(a646)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f408,plain,
    ( ! [X37] :
        ( c1_1(X37)
        | c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f2095,plain,
    ( ~ spl0_179
    | spl0_132
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2083,f868,f383,f863,f1917]) ).

fof(f383,plain,
    ( spl0_39
  <=> ! [X25] :
        ( ~ c1_1(X25)
        | c2_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2083,plain,
    ( c2_1(a648)
    | ~ c1_1(a648)
    | ~ spl0_39
    | ~ spl0_133 ),
    inference(resolution,[],[f384,f870]) ).

fof(f384,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c2_1(X25)
        | ~ c1_1(X25) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f2080,plain,
    ( spl0_80
    | spl0_81
    | ~ spl0_51
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2079,f1233,f434,f591,f586]) ).

fof(f586,plain,
    ( spl0_80
  <=> c3_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2079,plain,
    ( c0_1(a695)
    | c3_1(a695)
    | ~ spl0_51
    | ~ spl0_165 ),
    inference(resolution,[],[f1235,f435]) ).

fof(f1235,plain,
    ( c1_1(a695)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f2010,plain,
    ( spl0_89
    | spl0_176
    | ~ spl0_51
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2009,f644,f434,f1611,f634]) ).

fof(f634,plain,
    ( spl0_89
  <=> c3_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2009,plain,
    ( c0_1(a686)
    | c3_1(a686)
    | ~ spl0_51
    | ~ spl0_91 ),
    inference(resolution,[],[f646,f435]) ).

fof(f2001,plain,
    ( spl0_157
    | spl0_78
    | ~ spl0_51
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1801,f580,f434,f575,f1079]) ).

fof(f1079,plain,
    ( spl0_157
  <=> c3_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f575,plain,
    ( spl0_78
  <=> c0_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f580,plain,
    ( spl0_79
  <=> c1_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1801,plain,
    ( c0_1(a698)
    | c3_1(a698)
    | ~ spl0_51
    | ~ spl0_79 ),
    inference(resolution,[],[f435,f582]) ).

fof(f582,plain,
    ( c1_1(a698)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f1992,plain,
    ( spl0_77
    | spl0_78
    | ~ spl0_54
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1970,f1079,f450,f575,f570]) ).

fof(f570,plain,
    ( spl0_77
  <=> c2_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f450,plain,
    ( spl0_54
  <=> ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1970,plain,
    ( c0_1(a698)
    | c2_1(a698)
    | ~ spl0_54
    | ~ spl0_157 ),
    inference(resolution,[],[f451,f1080]) ).

fof(f1080,plain,
    ( c3_1(a698)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f451,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c0_1(X63)
        | c2_1(X63) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f1873,plain,
    ( ~ spl0_158
    | spl0_146
    | ~ spl0_33
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1752,f943,f358,f938,f1093]) ).

fof(f1093,plain,
    ( spl0_158
  <=> c2_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f938,plain,
    ( spl0_146
  <=> c1_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f358,plain,
    ( spl0_33
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f943,plain,
    ( spl0_147
  <=> c3_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1752,plain,
    ( c1_1(a642)
    | ~ c2_1(a642)
    | ~ spl0_33
    | ~ spl0_147 ),
    inference(resolution,[],[f945,f359]) ).

fof(f359,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f945,plain,
    ( c3_1(a642)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f1831,plain,
    ( spl0_75
    | spl0_76
    | ~ spl0_55
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1816,f554,f455,f564,f559]) ).

fof(f559,plain,
    ( spl0_75
  <=> c2_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f564,plain,
    ( spl0_76
  <=> c0_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f455,plain,
    ( spl0_55
  <=> ! [X67] :
        ( c3_1(X67)
        | c0_1(X67)
        | c2_1(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f554,plain,
    ( spl0_74
  <=> c3_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1816,plain,
    ( c0_1(a710)
    | c2_1(a710)
    | ~ spl0_55
    | spl0_74 ),
    inference(resolution,[],[f456,f556]) ).

fof(f556,plain,
    ( ~ c3_1(a710)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f456,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f1733,plain,
    ( spl0_125
    | spl0_159
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1732,f836,f403,f1108,f826]) ).

fof(f826,plain,
    ( spl0_125
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1108,plain,
    ( spl0_159
  <=> c1_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f836,plain,
    ( spl0_127
  <=> c0_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1732,plain,
    ( c1_1(a652)
    | c2_1(a652)
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(resolution,[],[f838,f404]) ).

fof(f838,plain,
    ( c0_1(a652)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f1725,plain,
    ( ~ spl0_141
    | spl0_140
    | ~ spl0_23
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1671,f916,f312,f906,f911]) ).

fof(f911,plain,
    ( spl0_141
  <=> c3_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f906,plain,
    ( spl0_140
  <=> c2_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f312,plain,
    ( spl0_23
  <=> ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f916,plain,
    ( spl0_142
  <=> c1_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1671,plain,
    ( c2_1(a645)
    | ~ c3_1(a645)
    | ~ spl0_23
    | ~ spl0_142 ),
    inference(resolution,[],[f918,f313]) ).

fof(f313,plain,
    ( ! [X5] :
        ( ~ c1_1(X5)
        | c2_1(X5)
        | ~ c3_1(X5) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f918,plain,
    ( c1_1(a645)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f1723,plain,
    ( ~ spl0_120
    | spl0_119
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1711,f1164,f358,f794,f799]) ).

fof(f799,plain,
    ( spl0_120
  <=> c2_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f794,plain,
    ( spl0_119
  <=> c1_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1164,plain,
    ( spl0_162
  <=> c3_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1711,plain,
    ( c1_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_33
    | ~ spl0_162 ),
    inference(resolution,[],[f359,f1165]) ).

fof(f1165,plain,
    ( c3_1(a656)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1702,plain,
    ( spl0_152
    | spl0_95
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1699,f676,f351,f666,f978]) ).

fof(f978,plain,
    ( spl0_152
  <=> c3_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f666,plain,
    ( spl0_95
  <=> c2_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f351,plain,
    ( spl0_32
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f676,plain,
    ( spl0_97
  <=> c0_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1699,plain,
    ( c2_1(a676)
    | c3_1(a676)
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(resolution,[],[f678,f352]) ).

fof(f352,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f678,plain,
    ( c0_1(a676)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1660,plain,
    ( ~ spl0_147
    | spl0_158
    | ~ spl0_27
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1435,f948,f329,f1093,f943]) ).

fof(f329,plain,
    ( spl0_27
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f948,plain,
    ( spl0_148
  <=> c0_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1435,plain,
    ( c2_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_27
    | ~ spl0_148 ),
    inference(resolution,[],[f950,f330]) ).

fof(f330,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f950,plain,
    ( c0_1(a642)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f1658,plain,
    ( spl0_158
    | spl0_146
    | ~ spl0_44
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1560,f948,f403,f938,f1093]) ).

fof(f1560,plain,
    ( c1_1(a642)
    | c2_1(a642)
    | ~ spl0_44
    | ~ spl0_148 ),
    inference(resolution,[],[f404,f950]) ).

fof(f1654,plain,
    ( ~ spl0_90
    | spl0_89
    | ~ spl0_19
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1649,f1611,f294,f634,f639]) ).

fof(f294,plain,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1649,plain,
    ( c3_1(a686)
    | ~ c2_1(a686)
    | ~ spl0_19
    | ~ spl0_176 ),
    inference(resolution,[],[f295,f1613]) ).

fof(f1613,plain,
    ( c0_1(a686)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1611]) ).

fof(f295,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f1653,plain,
    ( ~ spl0_100
    | spl0_98
    | ~ spl0_19
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1648,f1284,f294,f682,f692]) ).

fof(f682,plain,
    ( spl0_98
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1648,plain,
    ( c3_1(a675)
    | ~ c2_1(a675)
    | ~ spl0_19
    | ~ spl0_167 ),
    inference(resolution,[],[f295,f1286]) ).

fof(f1286,plain,
    ( c0_1(a675)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f1633,plain,
    ( ~ spl0_91
    | ~ spl0_90
    | ~ spl0_13
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1628,f1611,f270,f639,f644]) ).

fof(f270,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1628,plain,
    ( ~ c2_1(a686)
    | ~ c1_1(a686)
    | ~ spl0_13
    | ~ spl0_176 ),
    inference(resolution,[],[f1613,f271]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f1624,plain,
    ( spl0_98
    | spl0_99
    | ~ spl0_40
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1622,f1284,f387,f687,f682]) ).

fof(f1622,plain,
    ( c1_1(a675)
    | c3_1(a675)
    | ~ spl0_40
    | ~ spl0_167 ),
    inference(resolution,[],[f1286,f388]) ).

fof(f1614,plain,
    ( spl0_89
    | spl0_176
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1602,f639,f426,f1611,f634]) ).

fof(f426,plain,
    ( spl0_49
  <=> ! [X51] :
        ( ~ c2_1(X51)
        | c0_1(X51)
        | c3_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1602,plain,
    ( c0_1(a686)
    | c3_1(a686)
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(resolution,[],[f427,f641]) ).

fof(f641,plain,
    ( c2_1(a686)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f427,plain,
    ( ! [X51] :
        ( ~ c2_1(X51)
        | c0_1(X51)
        | c3_1(X51) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f1609,plain,
    ( spl0_98
    | spl0_167
    | ~ spl0_49
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1601,f692,f426,f1284,f682]) ).

fof(f1601,plain,
    ( c0_1(a675)
    | c3_1(a675)
    | ~ spl0_49
    | ~ spl0_100 ),
    inference(resolution,[],[f427,f694]) ).

fof(f1607,plain,
    ( spl0_161
    | spl0_143
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1592,f927,f426,f922,f1154]) ).

fof(f927,plain,
    ( spl0_144
  <=> c2_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1592,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(resolution,[],[f427,f929]) ).

fof(f929,plain,
    ( c2_1(a643)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f1510,plain,
    ( ~ spl0_120
    | spl0_119
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1503,f804,f391,f794,f799]) ).

fof(f391,plain,
    ( spl0_41
  <=> ! [X31] :
        ( ~ c2_1(X31)
        | c1_1(X31)
        | ~ c0_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f804,plain,
    ( spl0_121
  <=> c0_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1503,plain,
    ( c1_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(resolution,[],[f392,f806]) ).

fof(f806,plain,
    ( c0_1(a656)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f392,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | ~ c2_1(X31) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f1479,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_32
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1472,f868,f351,f863,f858]) ).

fof(f1472,plain,
    ( c2_1(a648)
    | c3_1(a648)
    | ~ spl0_32
    | ~ spl0_133 ),
    inference(resolution,[],[f352,f870]) ).

fof(f1451,plain,
    ( spl0_152
    | spl0_95
    | ~ spl0_31
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1448,f671,f347,f666,f978]) ).

fof(f347,plain,
    ( spl0_31
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f671,plain,
    ( spl0_96
  <=> c1_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1448,plain,
    ( c2_1(a676)
    | c3_1(a676)
    | ~ spl0_31
    | ~ spl0_96 ),
    inference(resolution,[],[f348,f673]) ).

fof(f673,plain,
    ( c1_1(a676)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f348,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | c3_1(X12) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1432,plain,
    ( ~ spl0_144
    | spl0_143
    | ~ spl0_48
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1430,f932,f421,f922,f927]) ).

fof(f1430,plain,
    ( c0_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_48
    | ~ spl0_145 ),
    inference(resolution,[],[f934,f422]) ).

fof(f1418,plain,
    ( ~ spl0_163
    | spl0_135
    | ~ spl0_48
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1309,f884,f421,f879,f1179]) ).

fof(f1179,plain,
    ( spl0_163
  <=> c2_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f879,plain,
    ( spl0_135
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f884,plain,
    ( spl0_136
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1309,plain,
    ( c0_1(a647)
    | ~ c2_1(a647)
    | ~ spl0_48
    | ~ spl0_136 ),
    inference(resolution,[],[f422,f886]) ).

fof(f886,plain,
    ( c1_1(a647)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f1415,plain,
    ( ~ spl0_94
    | spl0_92
    | ~ spl0_27
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1413,f1373,f329,f650,f660]) ).

fof(f650,plain,
    ( spl0_92
  <=> c2_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1413,plain,
    ( c2_1(a682)
    | ~ c3_1(a682)
    | ~ spl0_27
    | ~ spl0_171 ),
    inference(resolution,[],[f1375,f330]) ).

fof(f1375,plain,
    ( c0_1(a682)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1370,plain,
    ( spl0_153
    | spl0_129
    | ~ spl0_54
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1364,f852,f450,f847,f999]) ).

fof(f999,plain,
    ( spl0_153
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1364,plain,
    ( c0_1(a651)
    | c2_1(a651)
    | ~ spl0_54
    | ~ spl0_130 ),
    inference(resolution,[],[f451,f854]) ).

fof(f1354,plain,
    ( spl0_134
    | spl0_135
    | ~ spl0_51
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1348,f884,f434,f879,f874]) ).

fof(f874,plain,
    ( spl0_134
  <=> c3_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1348,plain,
    ( c0_1(a647)
    | c3_1(a647)
    | ~ spl0_51
    | ~ spl0_136 ),
    inference(resolution,[],[f435,f886]) ).

fof(f1324,plain,
    ( spl0_80
    | spl0_81
    | ~ spl0_49
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1317,f596,f426,f591,f586]) ).

fof(f1317,plain,
    ( c0_1(a695)
    | c3_1(a695)
    | ~ spl0_49
    | ~ spl0_82 ),
    inference(resolution,[],[f427,f598]) ).

fof(f1302,plain,
    ( spl0_162
    | spl0_119
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1299,f804,f387,f794,f1164]) ).

fof(f1299,plain,
    ( c1_1(a656)
    | c3_1(a656)
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(resolution,[],[f388,f806]) ).

fof(f1288,plain,
    ( ~ spl0_157
    | spl0_78
    | ~ spl0_47
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1281,f580,f417,f575,f1079]) ).

fof(f417,plain,
    ( spl0_47
  <=> ! [X44] :
        ( ~ c3_1(X44)
        | c0_1(X44)
        | ~ c1_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1281,plain,
    ( c0_1(a698)
    | ~ c3_1(a698)
    | ~ spl0_47
    | ~ spl0_79 ),
    inference(resolution,[],[f418,f582]) ).

fof(f418,plain,
    ( ! [X44] :
        ( ~ c1_1(X44)
        | c0_1(X44)
        | ~ c3_1(X44) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f1282,plain,
    ( ~ spl0_161
    | spl0_143
    | ~ spl0_47
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1276,f932,f417,f922,f1154]) ).

fof(f1276,plain,
    ( c0_1(a643)
    | ~ c3_1(a643)
    | ~ spl0_47
    | ~ spl0_145 ),
    inference(resolution,[],[f418,f934]) ).

fof(f1236,plain,
    ( spl0_80
    | spl0_165
    | ~ spl0_38
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1222,f596,f380,f1233,f586]) ).

fof(f380,plain,
    ( spl0_38
  <=> ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1222,plain,
    ( c1_1(a695)
    | c3_1(a695)
    | ~ spl0_38
    | ~ spl0_82 ),
    inference(resolution,[],[f381,f598]) ).

fof(f381,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f1216,plain,
    ( ~ spl0_96
    | spl0_95
    | ~ spl0_39
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1215,f676,f383,f666,f671]) ).

fof(f1215,plain,
    ( c2_1(a676)
    | ~ c1_1(a676)
    | ~ spl0_39
    | ~ spl0_97 ),
    inference(resolution,[],[f384,f678]) ).

fof(f1211,plain,
    ( ~ spl0_152
    | spl0_95
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1210,f676,f329,f666,f978]) ).

fof(f1210,plain,
    ( c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(resolution,[],[f330,f678]) ).

fof(f1205,plain,
    ( ~ spl0_65
    | ~ spl0_155
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1201,f511,f321,f1033,f506]) ).

fof(f506,plain,
    ( spl0_65
  <=> c2_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1033,plain,
    ( spl0_155
  <=> c3_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f321,plain,
    ( spl0_25
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | ~ c1_1(X7)
        | ~ c2_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f511,plain,
    ( spl0_66
  <=> c1_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1201,plain,
    ( ~ c3_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(resolution,[],[f322,f513]) ).

fof(f513,plain,
    ( c1_1(a671)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f322,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | ~ c3_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1204,plain,
    ( ~ spl0_85
    | ~ spl0_84
    | ~ spl0_25
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1199,f1004,f321,f607,f612]) ).

fof(f612,plain,
    ( spl0_85
  <=> c2_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1199,plain,
    ( ~ c3_1(a693)
    | ~ c2_1(a693)
    | ~ spl0_25
    | ~ spl0_154 ),
    inference(resolution,[],[f322,f1006]) ).

fof(f1006,plain,
    ( c1_1(a693)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1202,plain,
    ( ~ spl0_144
    | ~ spl0_161
    | ~ spl0_25
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1193,f932,f321,f1154,f927]) ).

fof(f1193,plain,
    ( ~ c3_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_25
    | ~ spl0_145 ),
    inference(resolution,[],[f322,f934]) ).

fof(f1192,plain,
    ( ~ spl0_163
    | spl0_134
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1184,f884,f282,f874,f1179]) ).

fof(f282,plain,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1184,plain,
    ( c3_1(a647)
    | ~ c2_1(a647)
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(resolution,[],[f283,f886]) ).

fof(f283,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f1182,plain,
    ( spl0_134
    | spl0_163
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1177,f884,f347,f1179,f874]) ).

fof(f1177,plain,
    ( c2_1(a647)
    | c3_1(a647)
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(resolution,[],[f886,f348]) ).

fof(f1174,plain,
    ( ~ spl0_117
    | spl0_116
    | ~ spl0_19
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1171,f788,f294,f778,f783]) ).

fof(f783,plain,
    ( spl0_117
  <=> c2_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f778,plain,
    ( spl0_116
  <=> c3_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f788,plain,
    ( spl0_118
  <=> c0_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1171,plain,
    ( c3_1(a657)
    | ~ c2_1(a657)
    | ~ spl0_19
    | ~ spl0_118 ),
    inference(resolution,[],[f295,f790]) ).

fof(f790,plain,
    ( c0_1(a657)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f1173,plain,
    ( ~ spl0_120
    | spl0_162
    | ~ spl0_19
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1170,f804,f294,f1164,f799]) ).

fof(f1170,plain,
    ( c3_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_19
    | ~ spl0_121 ),
    inference(resolution,[],[f295,f806]) ).

fof(f1167,plain,
    ( ~ spl0_162
    | spl0_119
    | ~ spl0_35
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1162,f804,f367,f794,f1164]) ).

fof(f367,plain,
    ( spl0_35
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1162,plain,
    ( c1_1(a656)
    | ~ c3_1(a656)
    | ~ spl0_35
    | ~ spl0_121 ),
    inference(resolution,[],[f806,f368]) ).

fof(f368,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | c1_1(X23)
        | ~ c3_1(X23) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1157,plain,
    ( ~ spl0_144
    | spl0_161
    | ~ spl0_16
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1143,f932,f282,f1154,f927]) ).

fof(f1143,plain,
    ( c3_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_16
    | ~ spl0_145 ),
    inference(resolution,[],[f283,f934]) ).

fof(f1112,plain,
    ( ~ spl0_159
    | spl0_125
    | ~ spl0_39
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1105,f836,f383,f826,f1108]) ).

fof(f1105,plain,
    ( c2_1(a652)
    | ~ c1_1(a652)
    | ~ spl0_39
    | ~ spl0_127 ),
    inference(resolution,[],[f838,f384]) ).

fof(f1106,plain,
    ( ~ spl0_126
    | spl0_125
    | ~ spl0_27
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1101,f836,f329,f826,f831]) ).

fof(f831,plain,
    ( spl0_126
  <=> c3_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1101,plain,
    ( c2_1(a652)
    | ~ c3_1(a652)
    | ~ spl0_27
    | ~ spl0_127 ),
    inference(resolution,[],[f838,f330]) ).

fof(f1097,plain,
    ( ~ spl0_147
    | spl0_146
    | ~ spl0_35
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1090,f948,f367,f938,f943]) ).

fof(f1090,plain,
    ( c1_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_35
    | ~ spl0_148 ),
    inference(resolution,[],[f950,f368]) ).

fof(f1036,plain,
    ( ~ spl0_65
    | spl0_155
    | ~ spl0_19
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1031,f516,f294,f1033,f506]) ).

fof(f516,plain,
    ( spl0_67
  <=> c0_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1031,plain,
    ( c3_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_19
    | ~ spl0_67 ),
    inference(resolution,[],[f518,f295]) ).

fof(f518,plain,
    ( c0_1(a671)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1016,plain,
    ( spl0_98
    | spl0_99
    | ~ spl0_38
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1011,f692,f380,f687,f682]) ).

fof(f1011,plain,
    ( c1_1(a675)
    | c3_1(a675)
    | ~ spl0_38
    | ~ spl0_100 ),
    inference(resolution,[],[f381,f694]) ).

fof(f1002,plain,
    ( ~ spl0_153
    | spl0_128
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f994,f852,f358,f842,f999]) ).

fof(f994,plain,
    ( c1_1(a651)
    | ~ c2_1(a651)
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(resolution,[],[f359,f854]) ).

fof(f988,plain,
    ( ~ spl0_63
    | ~ spl0_62
    | ~ spl0_25
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f986,f500,f321,f490,f495]) ).

fof(f986,plain,
    ( ~ c3_1(a688)
    | ~ c2_1(a688)
    | ~ spl0_25
    | ~ spl0_64 ),
    inference(resolution,[],[f322,f502]) ).

fof(f981,plain,
    ( ~ spl0_152
    | spl0_95
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f975,f671,f312,f666,f978]) ).

fof(f975,plain,
    ( c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(resolution,[],[f313,f673]) ).

fof(f972,plain,
    ( ~ spl0_90
    | spl0_89
    | ~ spl0_16
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f970,f644,f282,f634,f639]) ).

fof(f970,plain,
    ( c3_1(a686)
    | ~ c2_1(a686)
    | ~ spl0_16
    | ~ spl0_91 ),
    inference(resolution,[],[f283,f646]) ).

fof(f952,plain,
    ( ~ spl0_9
    | spl0_12 ),
    inference(avatar_split_clause,[],[f11,f266,f251]) ).

fof(f251,plain,
    ( spl0_9
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f266,plain,
    ( spl0_12
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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

fof(f6,plain,
    ( ( hskp17
      | hskp14
      | hskp24 )
    & ( hskp0
      | hskp24
      | hskp20 )
    & ( hskp19
      | hskp22
      | hskp2 )
    & ( hskp17
      | hskp14
      | hskp1 )
    & ( hskp20
      | hskp2
      | hskp18 )
    & ( hskp7
      | hskp1
      | hskp18 )
    & ( hskp25
      | hskp23
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp10
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp1
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp2
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp20
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp8
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp17
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp17
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp2
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a688)
        & c2_1(a688)
        & c1_1(a688)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & c0_1(a671)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a655)
        & c2_1(a655)
        & c0_1(a655)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a640)
        & c1_1(a640)
        & c0_1(a640)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c0_1(a710)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a698)
        & ~ c0_1(a698)
        & c1_1(a698)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a695)
        & ~ c0_1(a695)
        & c2_1(a695)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a693)
        & c3_1(a693)
        & c2_1(a693)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a691)
        & ~ c1_1(a691)
        & ~ c0_1(a691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a686)
        & c2_1(a686)
        & c1_1(a686)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & c2_1(a675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a672)
        & ~ c2_1(a672)
        & c1_1(a672)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a667)
        & ~ c0_1(a667)
        & c3_1(a667)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a665)
        & ~ c0_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a661)
        & ~ c1_1(a661)
        & c0_1(a661)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a660)
        & ~ c1_1(a660)
        & c0_1(a660)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a657)
        & c2_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a656)
        & c2_1(a656)
        & c0_1(a656)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a654)
        & ~ c1_1(a654)
        & ~ c0_1(a654)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & c0_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a647)
        & ~ c0_1(a647)
        & c1_1(a647)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a646)
        & ~ c2_1(a646)
        & ~ c1_1(a646)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a645)
        & c3_1(a645)
        & c1_1(a645)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a643)
        & c2_1(a643)
        & c1_1(a643)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a642)
        & c3_1(a642)
        & c0_1(a642)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a641)
        & c3_1(a641)
        & c2_1(a641)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp17
      | hskp14
      | hskp24 )
    & ( hskp0
      | hskp24
      | hskp20 )
    & ( hskp19
      | hskp22
      | hskp2 )
    & ( hskp17
      | hskp14
      | hskp1 )
    & ( hskp20
      | hskp2
      | hskp18 )
    & ( hskp7
      | hskp1
      | hskp18 )
    & ( hskp25
      | hskp23
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp10
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp1
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp2
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp20
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp8
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp17
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp17
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp2
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a688)
        & c2_1(a688)
        & c1_1(a688)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & c0_1(a671)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a655)
        & c2_1(a655)
        & c0_1(a655)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a640)
        & c1_1(a640)
        & c0_1(a640)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c0_1(a710)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a698)
        & ~ c0_1(a698)
        & c1_1(a698)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a695)
        & ~ c0_1(a695)
        & c2_1(a695)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a693)
        & c3_1(a693)
        & c2_1(a693)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a691)
        & ~ c1_1(a691)
        & ~ c0_1(a691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a686)
        & c2_1(a686)
        & c1_1(a686)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & c2_1(a675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a672)
        & ~ c2_1(a672)
        & c1_1(a672)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a667)
        & ~ c0_1(a667)
        & c3_1(a667)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a665)
        & ~ c0_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a661)
        & ~ c1_1(a661)
        & c0_1(a661)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a660)
        & ~ c1_1(a660)
        & c0_1(a660)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a657)
        & c2_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a656)
        & c2_1(a656)
        & c0_1(a656)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a654)
        & ~ c1_1(a654)
        & ~ c0_1(a654)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & c0_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a647)
        & ~ c0_1(a647)
        & c1_1(a647)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a646)
        & ~ c2_1(a646)
        & ~ c1_1(a646)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a645)
        & c3_1(a645)
        & c1_1(a645)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a643)
        & c2_1(a643)
        & c1_1(a643)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a642)
        & c3_1(a642)
        & c0_1(a642)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a641)
        & c3_1(a641)
        & c2_1(a641)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp17
      | hskp14
      | hskp24 )
    & ( hskp0
      | hskp24
      | hskp20 )
    & ( hskp19
      | hskp22
      | hskp2 )
    & ( hskp17
      | hskp14
      | hskp1 )
    & ( hskp20
      | hskp2
      | hskp18 )
    & ( hskp7
      | hskp1
      | hskp18 )
    & ( hskp25
      | hskp23
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp29
      | hskp10
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | c3_1(X1) ) ) )
    & ( hskp9
      | hskp15
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp20
      | hskp12
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp29
      | hskp1
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp15
      | hskp3
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp24
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp8
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp23
      | hskp5
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp22
      | hskp20
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp21
      | hskp11
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp5
      | hskp29
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp5
      | hskp20
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp19
      | hskp8
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp11
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c2_1(X15)
            | ~ c1_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c0_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp19
      | hskp17
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp7
      | hskp17
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp9
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp4
      | hskp18
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp17
      | hskp28
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp7
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp16
      | hskp28
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp12
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp4
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp4
      | hskp14
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp7
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c3_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp3
      | hskp6
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp6
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp27
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp11
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp10
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c0_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp27
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp9
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c1_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp3
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | c1_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp8
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c1_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp7
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp2
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp2
      | hskp6
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp5
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp4
      | hskp3
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp0
      | hskp2
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp1
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp0
      | hskp26
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( ( c3_1(a688)
        & c2_1(a688)
        & c1_1(a688)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & c0_1(a671)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a655)
        & c2_1(a655)
        & c0_1(a655)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a640)
        & c1_1(a640)
        & c0_1(a640)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c0_1(a710)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a698)
        & ~ c0_1(a698)
        & c1_1(a698)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a695)
        & ~ c0_1(a695)
        & c2_1(a695)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a693)
        & c3_1(a693)
        & c2_1(a693)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a691)
        & ~ c1_1(a691)
        & ~ c0_1(a691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a686)
        & c2_1(a686)
        & c1_1(a686)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & c2_1(a675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a672)
        & ~ c2_1(a672)
        & c1_1(a672)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a667)
        & ~ c0_1(a667)
        & c3_1(a667)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a665)
        & ~ c0_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a661)
        & ~ c1_1(a661)
        & c0_1(a661)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a660)
        & ~ c1_1(a660)
        & c0_1(a660)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a657)
        & c2_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a656)
        & c2_1(a656)
        & c0_1(a656)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a654)
        & ~ c1_1(a654)
        & ~ c0_1(a654)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & c0_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a647)
        & ~ c0_1(a647)
        & c1_1(a647)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a646)
        & ~ c2_1(a646)
        & ~ c1_1(a646)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a645)
        & c3_1(a645)
        & c1_1(a645)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a643)
        & c2_1(a643)
        & c1_1(a643)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a642)
        & c3_1(a642)
        & c0_1(a642)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a641)
        & c3_1(a641)
        & c2_1(a641)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp17
          | hskp14
          | hskp24 )
        & ( hskp0
          | hskp24
          | hskp20 )
        & ( hskp19
          | hskp22
          | hskp2 )
        & ( hskp17
          | hskp14
          | hskp1 )
        & ( hskp20
          | hskp2
          | hskp18 )
        & ( hskp7
          | hskp1
          | hskp18 )
        & ( hskp25
          | hskp23
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp29
          | hskp10
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp9
          | hskp15
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp20
          | hskp12
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp29
          | hskp1
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp15
          | hskp3
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp24
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp8
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp23
          | hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp22
          | hskp20
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp21
          | hskp11
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp5
          | hskp29
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp5
          | hskp20
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp19
          | hskp8
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp11
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c0_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp19
          | hskp17
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp7
          | hskp17
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp9
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp4
          | hskp18
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp17
          | hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp7
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp16
          | hskp28
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp12
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp4
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp9
          | hskp15
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp4
          | hskp14
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp7
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp3
          | hskp6
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp6
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp27
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp11
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp10
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp27
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp9
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp8
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp7
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp2
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp2
          | hskp6
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp5
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp4
          | hskp3
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp0
          | hskp2
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp1
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp0
          | hskp26
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( ( c3_1(a688)
            & c2_1(a688)
            & c1_1(a688)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a671)
            & c1_1(a671)
            & c0_1(a671)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a655)
            & c2_1(a655)
            & c0_1(a655)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a640)
            & c1_1(a640)
            & c0_1(a640)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a710)
            & ~ c2_1(a710)
            & ~ c0_1(a710)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a698)
            & ~ c0_1(a698)
            & c1_1(a698)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a695)
            & ~ c0_1(a695)
            & c2_1(a695)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a693)
            & c3_1(a693)
            & c2_1(a693)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a691)
            & ~ c1_1(a691)
            & ~ c0_1(a691)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a686)
            & c2_1(a686)
            & c1_1(a686)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a682)
            & ~ c1_1(a682)
            & c3_1(a682)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a675)
            & ~ c1_1(a675)
            & c2_1(a675)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a672)
            & ~ c2_1(a672)
            & c1_1(a672)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a667)
            & ~ c0_1(a667)
            & c3_1(a667)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a665)
            & ~ c0_1(a665)
            & c2_1(a665)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a661)
            & ~ c1_1(a661)
            & c0_1(a661)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a660)
            & ~ c1_1(a660)
            & c0_1(a660)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a657)
            & c2_1(a657)
            & c0_1(a657)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a656)
            & c2_1(a656)
            & c0_1(a656)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a654)
            & ~ c1_1(a654)
            & ~ c0_1(a654)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a652)
            & c3_1(a652)
            & c0_1(a652)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a651)
            & ~ c0_1(a651)
            & c3_1(a651)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a648)
            & ~ c2_1(a648)
            & c0_1(a648)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a647)
            & ~ c0_1(a647)
            & c1_1(a647)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a646)
            & ~ c2_1(a646)
            & ~ c1_1(a646)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a645)
            & c3_1(a645)
            & c1_1(a645)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a643)
            & c2_1(a643)
            & c1_1(a643)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a642)
            & c3_1(a642)
            & c0_1(a642)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a641)
            & c3_1(a641)
            & c2_1(a641)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp17
          | hskp14
          | hskp24 )
        & ( hskp0
          | hskp24
          | hskp20 )
        & ( hskp19
          | hskp22
          | hskp2 )
        & ( hskp17
          | hskp14
          | hskp1 )
        & ( hskp20
          | hskp2
          | hskp18 )
        & ( hskp7
          | hskp1
          | hskp18 )
        & ( hskp25
          | hskp23
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp29
          | hskp10
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp9
          | hskp15
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp20
          | hskp12
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp29
          | hskp1
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) ) )
        & ( hskp15
          | hskp3
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp24
          | hskp2
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp8
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp23
          | hskp5
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp22
          | hskp20
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp21
          | hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp5
          | hskp29
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp5
          | hskp20
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c2_1(X76) ) ) )
        & ( hskp19
          | hskp8
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) ) )
        & ( hskp11
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) ) )
        & ( hskp19
          | hskp17
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp7
          | hskp17
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp9
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c3_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp4
          | hskp18
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp17
          | hskp28
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) ) )
        & ( hskp7
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp16
          | hskp28
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( hskp12
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) ) )
        & ( hskp4
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp9
          | hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp4
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp7
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp3
          | hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp13
          | hskp12
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp6
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp27
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp11
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c3_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp10
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp27
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c3_1(X23)
                | c1_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) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp3
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp2
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp2
          | hskp6
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp4
          | hskp3
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp0
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( hskp0
          | hskp26
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a688)
            & c2_1(a688)
            & c1_1(a688)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a671)
            & c1_1(a671)
            & c0_1(a671)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a655)
            & c2_1(a655)
            & c0_1(a655)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a640)
            & c1_1(a640)
            & c0_1(a640)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a710)
            & ~ c2_1(a710)
            & ~ c0_1(a710)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a698)
            & ~ c0_1(a698)
            & c1_1(a698)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a695)
            & ~ c0_1(a695)
            & c2_1(a695)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a693)
            & c3_1(a693)
            & c2_1(a693)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a691)
            & ~ c1_1(a691)
            & ~ c0_1(a691)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a686)
            & c2_1(a686)
            & c1_1(a686)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a682)
            & ~ c1_1(a682)
            & c3_1(a682)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a675)
            & ~ c1_1(a675)
            & c2_1(a675)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a672)
            & ~ c2_1(a672)
            & c1_1(a672)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a667)
            & ~ c0_1(a667)
            & c3_1(a667)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a665)
            & ~ c0_1(a665)
            & c2_1(a665)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a661)
            & ~ c1_1(a661)
            & c0_1(a661)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a660)
            & ~ c1_1(a660)
            & c0_1(a660)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a657)
            & c2_1(a657)
            & c0_1(a657)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a656)
            & c2_1(a656)
            & c0_1(a656)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a654)
            & ~ c1_1(a654)
            & ~ c0_1(a654)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a652)
            & c3_1(a652)
            & c0_1(a652)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a651)
            & ~ c0_1(a651)
            & c3_1(a651)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a648)
            & ~ c2_1(a648)
            & c0_1(a648)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a647)
            & ~ c0_1(a647)
            & c1_1(a647)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a646)
            & ~ c2_1(a646)
            & ~ c1_1(a646)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a645)
            & c3_1(a645)
            & c1_1(a645)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a643)
            & c2_1(a643)
            & c1_1(a643)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a642)
            & c3_1(a642)
            & c0_1(a642)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a641)
            & c3_1(a641)
            & c2_1(a641)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp17
        | hskp14
        | hskp24 )
      & ( hskp0
        | hskp24
        | hskp20 )
      & ( hskp19
        | hskp22
        | hskp2 )
      & ( hskp17
        | hskp14
        | hskp1 )
      & ( hskp20
        | hskp2
        | hskp18 )
      & ( hskp7
        | hskp1
        | hskp18 )
      & ( hskp25
        | hskp23
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp29
        | hskp10
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp9
        | hskp15
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp20
        | hskp12
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp29
        | hskp1
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) ) )
      & ( hskp15
        | hskp3
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp24
        | hskp2
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp8
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp23
        | hskp5
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp22
        | hskp20
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp21
        | hskp11
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp5
        | hskp29
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp5
        | hskp20
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | c2_1(X76) ) ) )
      & ( hskp19
        | hskp8
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) ) )
      & ( hskp11
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c2_1(X71) ) ) )
      & ( hskp19
        | hskp17
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp7
        | hskp17
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp9
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c0_1(X68)
              | c3_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp4
        | hskp18
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp17
        | hskp28
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) ) )
      & ( hskp7
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c3_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp16
        | hskp28
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( hskp12
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) ) )
      & ( hskp4
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp9
        | hskp15
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp4
        | hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp7
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c3_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c3_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c1_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp3
        | hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp13
        | hskp12
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp6
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp27
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp11
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c2_1(X30)
              | c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c3_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp10
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c0_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp27
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c2_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp9
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c3_1(X23)
              | c1_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) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp3
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp8
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c1_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp7
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c0_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp2
        | ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c3_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp2
        | hskp6
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp5
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp4
        | hskp3
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp0
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c1_1(X3)
              | ~ c0_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( hskp0
        | hskp26
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a688)
          & c2_1(a688)
          & c1_1(a688)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a671)
          & c1_1(a671)
          & c0_1(a671)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a655)
          & c2_1(a655)
          & c0_1(a655)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a640)
          & c1_1(a640)
          & c0_1(a640)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a710)
          & ~ c2_1(a710)
          & ~ c0_1(a710)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a698)
          & ~ c0_1(a698)
          & c1_1(a698)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a695)
          & ~ c0_1(a695)
          & c2_1(a695)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a693)
          & c3_1(a693)
          & c2_1(a693)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a691)
          & ~ c1_1(a691)
          & ~ c0_1(a691)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a686)
          & c2_1(a686)
          & c1_1(a686)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a682)
          & ~ c1_1(a682)
          & c3_1(a682)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a676)
          & c1_1(a676)
          & c0_1(a676)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a675)
          & ~ c1_1(a675)
          & c2_1(a675)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a672)
          & ~ c2_1(a672)
          & c1_1(a672)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a667)
          & ~ c0_1(a667)
          & c3_1(a667)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a665)
          & ~ c0_1(a665)
          & c2_1(a665)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a661)
          & ~ c1_1(a661)
          & c0_1(a661)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a660)
          & ~ c1_1(a660)
          & c0_1(a660)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a657)
          & c2_1(a657)
          & c0_1(a657)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a656)
          & c2_1(a656)
          & c0_1(a656)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a654)
          & ~ c1_1(a654)
          & ~ c0_1(a654)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a652)
          & c3_1(a652)
          & c0_1(a652)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a651)
          & ~ c0_1(a651)
          & c3_1(a651)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a648)
          & ~ c2_1(a648)
          & c0_1(a648)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a647)
          & ~ c0_1(a647)
          & c1_1(a647)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a646)
          & ~ c2_1(a646)
          & ~ c1_1(a646)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a645)
          & c3_1(a645)
          & c1_1(a645)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a643)
          & c2_1(a643)
          & c1_1(a643)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a642)
          & c3_1(a642)
          & c0_1(a642)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a641)
          & c3_1(a641)
          & c2_1(a641)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f951,plain,
    ( ~ spl0_9
    | spl0_148 ),
    inference(avatar_split_clause,[],[f12,f948,f251]) ).

fof(f12,plain,
    ( c0_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f946,plain,
    ( ~ spl0_9
    | spl0_147 ),
    inference(avatar_split_clause,[],[f13,f943,f251]) ).

fof(f13,plain,
    ( c3_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f941,plain,
    ( ~ spl0_9
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f14,f938,f251]) ).

fof(f14,plain,
    ( ~ c1_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( ~ spl0_6
    | spl0_145 ),
    inference(avatar_split_clause,[],[f16,f932,f238]) ).

fof(f238,plain,
    ( spl0_6
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f16,plain,
    ( c1_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f930,plain,
    ( ~ spl0_6
    | spl0_144 ),
    inference(avatar_split_clause,[],[f17,f927,f238]) ).

fof(f17,plain,
    ( c2_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f925,plain,
    ( ~ spl0_6
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f18,f922,f238]) ).

fof(f18,plain,
    ( ~ c0_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_24
    | spl0_142 ),
    inference(avatar_split_clause,[],[f20,f916,f315]) ).

fof(f315,plain,
    ( spl0_24
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f20,plain,
    ( c1_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( ~ spl0_24
    | spl0_141 ),
    inference(avatar_split_clause,[],[f21,f911,f315]) ).

fof(f21,plain,
    ( c3_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_24
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f22,f906,f315]) ).

fof(f22,plain,
    ( ~ c2_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f903,plain,
    ( ~ spl0_36
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f24,f900,f370]) ).

fof(f370,plain,
    ( spl0_36
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f24,plain,
    ( ~ c1_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_36
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f25,f895,f370]) ).

fof(f25,plain,
    ( ~ c2_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_36
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f26,f890,f370]) ).

fof(f26,plain,
    ( ~ c3_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f887,plain,
    ( ~ spl0_28
    | spl0_136 ),
    inference(avatar_split_clause,[],[f28,f884,f332]) ).

fof(f332,plain,
    ( spl0_28
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f28,plain,
    ( c1_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_28
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f29,f879,f332]) ).

fof(f29,plain,
    ( ~ c0_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( ~ spl0_28
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f30,f874,f332]) ).

fof(f30,plain,
    ( ~ c3_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_50
    | spl0_133 ),
    inference(avatar_split_clause,[],[f32,f868,f429]) ).

fof(f429,plain,
    ( spl0_50
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f32,plain,
    ( c0_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f866,plain,
    ( ~ spl0_50
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f33,f863,f429]) ).

fof(f33,plain,
    ( ~ c2_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_50
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f34,f858,f429]) ).

fof(f34,plain,
    ( ~ c3_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f35,f266,f261]) ).

fof(f261,plain,
    ( spl0_11
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_11
    | spl0_130 ),
    inference(avatar_split_clause,[],[f36,f852,f261]) ).

fof(f36,plain,
    ( c3_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_11
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f37,f847,f261]) ).

fof(f37,plain,
    ( ~ c0_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_11
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f38,f842,f261]) ).

fof(f38,plain,
    ( ~ c1_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f839,plain,
    ( ~ spl0_26
    | spl0_127 ),
    inference(avatar_split_clause,[],[f40,f836,f324]) ).

fof(f324,plain,
    ( spl0_26
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f40,plain,
    ( c0_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( ~ spl0_26
    | spl0_126 ),
    inference(avatar_split_clause,[],[f41,f831,f324]) ).

fof(f41,plain,
    ( c3_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( ~ spl0_26
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f42,f826,f324]) ).

fof(f42,plain,
    ( ~ c2_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f807,plain,
    ( ~ spl0_17
    | spl0_121 ),
    inference(avatar_split_clause,[],[f48,f804,f285]) ).

fof(f285,plain,
    ( spl0_17
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f48,plain,
    ( c0_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_17
    | spl0_120 ),
    inference(avatar_split_clause,[],[f49,f799,f285]) ).

fof(f49,plain,
    ( c2_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( ~ spl0_17
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f50,f794,f285]) ).

fof(f50,plain,
    ( ~ c1_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_29
    | spl0_118 ),
    inference(avatar_split_clause,[],[f52,f788,f338]) ).

fof(f338,plain,
    ( spl0_29
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f52,plain,
    ( c0_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( ~ spl0_29
    | spl0_117 ),
    inference(avatar_split_clause,[],[f53,f783,f338]) ).

fof(f53,plain,
    ( c2_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( ~ spl0_29
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f54,f778,f338]) ).

fof(f54,plain,
    ( ~ c3_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_22
    | spl0_115 ),
    inference(avatar_split_clause,[],[f56,f772,f306]) ).

fof(f306,plain,
    ( spl0_22
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f56,plain,
    ( c0_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f57,f767,f306]) ).

fof(f57,plain,
    ( ~ c1_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_22
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f58,f762,f306]) ).

fof(f58,plain,
    ( ~ c2_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl0_3
    | spl0_100 ),
    inference(avatar_split_clause,[],[f76,f692,f224]) ).

fof(f224,plain,
    ( spl0_3
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f76,plain,
    ( c2_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_3
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f77,f687,f224]) ).

fof(f77,plain,
    ( ~ c1_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_3
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f78,f682,f224]) ).

fof(f78,plain,
    ( ~ c3_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f79,f266,f256]) ).

fof(f256,plain,
    ( spl0_10
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f79,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f679,plain,
    ( ~ spl0_10
    | spl0_97 ),
    inference(avatar_split_clause,[],[f80,f676,f256]) ).

fof(f80,plain,
    ( c0_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl0_10
    | spl0_96 ),
    inference(avatar_split_clause,[],[f81,f671,f256]) ).

fof(f81,plain,
    ( c1_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_10
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f82,f666,f256]) ).

fof(f82,plain,
    ( ~ c2_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_8
    | spl0_94 ),
    inference(avatar_split_clause,[],[f84,f660,f246]) ).

fof(f246,plain,
    ( spl0_8
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f84,plain,
    ( c3_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_8
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f85,f655,f246]) ).

fof(f85,plain,
    ( ~ c1_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl0_8
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f86,f650,f246]) ).

fof(f86,plain,
    ( ~ c2_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f647,plain,
    ( ~ spl0_4
    | spl0_91 ),
    inference(avatar_split_clause,[],[f88,f644,f229]) ).

fof(f229,plain,
    ( spl0_4
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f88,plain,
    ( c1_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_4
    | spl0_90 ),
    inference(avatar_split_clause,[],[f89,f639,f229]) ).

fof(f89,plain,
    ( c2_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_4
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f90,f634,f229]) ).

fof(f90,plain,
    ( ~ c3_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f615,plain,
    ( ~ spl0_7
    | spl0_85 ),
    inference(avatar_split_clause,[],[f96,f612,f242]) ).

fof(f242,plain,
    ( spl0_7
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f96,plain,
    ( c2_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_7
    | spl0_84 ),
    inference(avatar_split_clause,[],[f97,f607,f242]) ).

fof(f97,plain,
    ( c3_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_7
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f98,f602,f242]) ).

fof(f98,plain,
    ( ~ c0_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_14
    | spl0_82 ),
    inference(avatar_split_clause,[],[f100,f596,f273]) ).

fof(f273,plain,
    ( spl0_14
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f100,plain,
    ( c2_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_14
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f101,f591,f273]) ).

fof(f101,plain,
    ( ~ c0_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( ~ spl0_14
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f102,f586,f273]) ).

fof(f102,plain,
    ( ~ c3_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_1
    | spl0_79 ),
    inference(avatar_split_clause,[],[f104,f580,f216]) ).

fof(f216,plain,
    ( spl0_1
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f104,plain,
    ( c1_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_1
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f105,f575,f216]) ).

fof(f105,plain,
    ( ~ c0_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_1
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f106,f570,f216]) ).

fof(f106,plain,
    ( ~ c2_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_15
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f108,f564,f277]) ).

fof(f277,plain,
    ( spl0_15
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f108,plain,
    ( ~ c0_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f562,plain,
    ( ~ spl0_15
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f109,f559,f277]) ).

fof(f109,plain,
    ( ~ c2_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f557,plain,
    ( ~ spl0_15
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f110,f554,f277]) ).

fof(f110,plain,
    ( ~ c3_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( ~ spl0_37
    | spl0_67 ),
    inference(avatar_split_clause,[],[f120,f516,f375]) ).

fof(f375,plain,
    ( spl0_37
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f120,plain,
    ( c0_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( ~ spl0_37
    | spl0_66 ),
    inference(avatar_split_clause,[],[f121,f511,f375]) ).

fof(f121,plain,
    ( c1_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl0_37
    | spl0_65 ),
    inference(avatar_split_clause,[],[f122,f506,f375]) ).

fof(f122,plain,
    ( c2_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( ~ spl0_18
    | spl0_64 ),
    inference(avatar_split_clause,[],[f124,f500,f289]) ).

fof(f289,plain,
    ( spl0_18
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f124,plain,
    ( c1_1(a688)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( ~ spl0_18
    | spl0_63 ),
    inference(avatar_split_clause,[],[f125,f495,f289]) ).

fof(f125,plain,
    ( c2_1(a688)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( ~ spl0_18
    | spl0_62 ),
    inference(avatar_split_clause,[],[f126,f490,f289]) ).

fof(f126,plain,
    ( c3_1(a688)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_58
    | ~ spl0_12
    | spl0_38
    | spl0_28 ),
    inference(avatar_split_clause,[],[f189,f332,f380,f266,f470]) ).

fof(f189,plain,
    ! [X80,X81] :
      ( hskp5
      | ~ c2_1(X80)
      | c3_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c1_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X80,X81] :
      ( hskp5
      | ~ c2_1(X80)
      | c3_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( ~ spl0_12
    | spl0_58
    | spl0_50
    | spl0_6 ),
    inference(avatar_split_clause,[],[f133,f238,f429,f470,f266]) ).

fof(f133,plain,
    ! [X79] :
      ( hskp2
      | hskp6
      | ~ c2_1(X79)
      | c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f468,plain,
    ( spl0_57
    | ~ spl0_12
    | spl0_31
    | spl0_6 ),
    inference(avatar_split_clause,[],[f190,f238,f347,f266,f463]) ).

fof(f190,plain,
    ! [X78,X77] :
      ( hskp2
      | ~ c1_1(X77)
      | c3_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c1_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X78,X77] :
      ( hskp2
      | ~ c1_1(X77)
      | c3_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_57
    | ~ spl0_12
    | spl0_13
    | spl0_26 ),
    inference(avatar_split_clause,[],[f192,f324,f270,f266,f463]) ).

fof(f192,plain,
    ! [X73,X74] :
      ( hskp8
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | c1_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X73,X74] :
      ( hskp8
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | c1_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_57
    | ~ spl0_12
    | spl0_25
    | spl0_24 ),
    inference(avatar_split_clause,[],[f193,f315,f321,f266,f463]) ).

fof(f193,plain,
    ! [X72,X71] :
      ( hskp3
      | ~ c3_1(X71)
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ ndr1_0
      | ~ c3_1(X72)
      | c1_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X72,X71] :
      ( hskp3
      | ~ c3_1(X71)
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ ndr1_0
      | ~ c3_1(X72)
      | c1_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_55
    | spl0_45
    | ~ spl0_12
    | spl0_56 ),
    inference(avatar_split_clause,[],[f194,f459,f266,f407,f455]) ).

fof(f194,plain,
    ! [X70,X68,X69] :
      ( ~ c3_1(X68)
      | ~ c1_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | c3_1(X70)
      | c2_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X70,X68,X69] :
      ( ~ c3_1(X68)
      | ~ c1_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | c3_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_54
    | ~ spl0_12
    | spl0_39
    | spl0_17 ),
    inference(avatar_split_clause,[],[f197,f285,f383,f266,f450]) ).

fof(f197,plain,
    ! [X62,X63] :
      ( hskp10
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | c2_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X62,X63] :
      ( hskp10
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | c2_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( spl0_51
    | spl0_48
    | ~ spl0_12
    | spl0_44 ),
    inference(avatar_split_clause,[],[f198,f403,f266,f421,f434]) ).

fof(f198,plain,
    ! [X59,X60,X61] :
      ( ~ c0_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60)
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X59,X60,X61] :
      ( ~ c0_1(X59)
      | c2_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | ~ c2_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( spl0_51
    | ~ spl0_12
    | spl0_47
    | spl0_29 ),
    inference(avatar_split_clause,[],[f199,f338,f417,f266,f434]) ).

fof(f199,plain,
    ! [X58,X57] :
      ( hskp11
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X58)
      | c3_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X58,X57] :
      ( hskp11
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X58)
      | c3_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_51
    | ~ spl0_12
    | spl0_23
    | spl0_50 ),
    inference(avatar_split_clause,[],[f201,f429,f312,f266,f434]) ).

fof(f201,plain,
    ! [X54,X53] :
      ( hskp6
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | c3_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X54,X53] :
      ( hskp6
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | c3_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_12
    | spl0_49
    | spl0_50
    | spl0_24 ),
    inference(avatar_split_clause,[],[f147,f315,f429,f426,f266]) ).

fof(f147,plain,
    ! [X51] :
      ( hskp3
      | hskp6
      | ~ c2_1(X51)
      | c3_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f424,plain,
    ( spl0_48
    | spl0_33
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f202,f270,f266,f358,f421]) ).

fof(f202,plain,
    ! [X50,X48,X49] :
      ( ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X50,X48,X49] :
      ( ~ c2_1(X48)
      | ~ c1_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_48
    | spl0_33
    | ~ spl0_12
    | spl0_25 ),
    inference(avatar_split_clause,[],[f203,f321,f266,f358,f421]) ).

fof(f203,plain,
    ! [X46,X47,X45] :
      ( ~ c3_1(X45)
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c1_1(X46)
      | ~ c2_1(X47)
      | ~ c1_1(X47)
      | c0_1(X47) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X46,X47,X45] :
      ( ~ c3_1(X45)
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | ~ c2_1(X47)
      | ~ c1_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_47
    | spl0_40
    | ~ spl0_12
    | spl0_39 ),
    inference(avatar_split_clause,[],[f204,f383,f266,f387,f417]) ).

fof(f204,plain,
    ! [X44,X42,X43] :
      ( ~ c1_1(X42)
      | ~ c0_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | c3_1(X43)
      | c1_1(X43)
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | c0_1(X44) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X44,X42,X43] :
      ( ~ c1_1(X42)
      | ~ c0_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | c3_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_12
    | spl0_19 ),
    inference(avatar_split_clause,[],[f208,f294,f266,f391,f387]) ).

fof(f208,plain,
    ! [X31,X32,X30] :
      ( ~ c2_1(X30)
      | ~ c0_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c2_1(X31)
      | ~ c0_1(X31)
      | c1_1(X31)
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X31,X32,X30] :
      ( ~ c2_1(X30)
      | ~ c0_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c2_1(X31)
      | ~ c0_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_40
    | ~ spl0_12
    | spl0_13
    | spl0_11 ),
    inference(avatar_split_clause,[],[f209,f261,f270,f266,f387]) ).

fof(f209,plain,
    ! [X28,X29] :
      ( hskp7
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X28,X29] :
      ( hskp7
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_38
    | spl0_33
    | ~ spl0_12
    | spl0_39 ),
    inference(avatar_split_clause,[],[f210,f383,f266,f358,f380]) ).

fof(f210,plain,
    ! [X26,X27,X25] :
      ( ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26)
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X26,X27,X25] :
      ( ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | c1_1(X26)
      | ~ ndr1_0
      | ~ c2_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( ~ spl0_12
    | spl0_35
    | spl0_37
    | spl0_3 ),
    inference(avatar_split_clause,[],[f160,f224,f375,f367,f266]) ).

fof(f160,plain,
    ! [X24] :
      ( hskp17
      | hskp28
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_12
    | spl0_35
    | spl0_10
    | spl0_36 ),
    inference(avatar_split_clause,[],[f161,f370,f256,f367,f266]) ).

fof(f161,plain,
    ! [X23] :
      ( hskp4
      | hskp18
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f361,plain,
    ( ~ spl0_12
    | spl0_33
    | spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f163,f261,f224,f358,f266]) ).

fof(f163,plain,
    ! [X20] :
      ( hskp7
      | hskp17
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f356,plain,
    ( spl0_32
    | ~ spl0_12
    | spl0_19 ),
    inference(avatar_split_clause,[],[f212,f294,f266,f351]) ).

fof(f212,plain,
    ! [X18,X17] :
      ( ~ c2_1(X17)
      | ~ c0_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X18,X17] :
      ( ~ c2_1(X17)
      | ~ c0_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( spl0_32
    | ~ spl0_12
    | spl0_25
    | spl0_29 ),
    inference(avatar_split_clause,[],[f213,f338,f321,f266,f351]) ).

fof(f213,plain,
    ! [X16,X15] :
      ( hskp11
      | ~ c3_1(X15)
      | ~ c2_1(X15)
      | ~ c1_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X16,X15] :
      ( hskp11
      | ~ c3_1(X15)
      | ~ c2_1(X15)
      | ~ c1_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f353,plain,
    ( ~ spl0_12
    | spl0_32
    | spl0_4
    | spl0_28 ),
    inference(avatar_split_clause,[],[f168,f332,f229,f351,f266]) ).

fof(f168,plain,
    ! [X13] :
      ( hskp5
      | hskp20
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f336,plain,
    ( ~ spl0_12
    | spl0_27
    | spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f171,f242,f229,f329,f266]) ).

fof(f171,plain,
    ! [X10] :
      ( hskp22
      | hskp20
      | ~ c3_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f335,plain,
    ( ~ spl0_12
    | spl0_27
    | spl0_28
    | spl0_14 ),
    inference(avatar_split_clause,[],[f172,f273,f332,f329,f266]) ).

fof(f172,plain,
    ! [X9] :
      ( hskp23
      | hskp5
      | ~ c3_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( spl0_23
    | ~ spl0_12
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f214,f324,f321,f266,f312]) ).

fof(f214,plain,
    ! [X8,X7] :
      ( hskp8
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ ndr1_0
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X8,X7] :
      ( hskp8
      | ~ c3_1(X7)
      | ~ c2_1(X7)
      | ~ c1_1(X7)
      | ~ ndr1_0
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f319,plain,
    ( ~ spl0_12
    | spl0_23
    | spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f174,f216,f238,f312,f266]) ).

fof(f174,plain,
    ! [X6] :
      ( hskp24
      | hskp2
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f309,plain,
    ( ~ spl0_12
    | spl0_19
    | spl0_22
    | spl0_4 ),
    inference(avatar_split_clause,[],[f177,f229,f306,f294,f266]) ).

fof(f177,plain,
    ! [X3] :
      ( hskp20
      | hskp12
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( ~ spl0_12
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f179,f289,f285,f282,f266]) ).

fof(f179,plain,
    ! [X1] :
      ( hskp29
      | hskp10
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f180,f277,f273,f270,f266]) ).

fof(f180,plain,
    ! [X0] :
      ( hskp25
      | hskp23
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f264,plain,
    ( spl0_10
    | spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f181,f261,f251,f256]) ).

fof(f181,plain,
    ( hskp7
    | hskp1
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f259,plain,
    ( spl0_10
    | spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f182,f229,f238,f256]) ).

fof(f182,plain,
    ( hskp20
    | hskp2
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f249,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f184,f246,f242,f238]) ).

fof(f184,plain,
    ( hskp19
    | hskp22
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN450+1 : TPTP v8.2.0. Released v2.1.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 13:57:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a FOF_THM_EPR_NEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.73  % (19123)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)
% 0.57/0.73  % (19116)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)
% 0.57/0.73  % (19119)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)
% 0.57/0.73  % (19120)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)
% 0.57/0.73  % (19118)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73  % (19121)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)
% 0.57/0.73  % (19122)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)
% 0.57/0.73  % (19117)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)
% 0.57/0.75  % (19123)Instruction limit reached!
% 0.57/0.75  % (19123)------------------------------
% 0.57/0.75  % (19123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (19123)Termination reason: Unknown
% 0.57/0.75  % (19123)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (19123)Memory used [KB]: 2335
% 0.57/0.75  % (19123)Time elapsed: 0.021 s
% 0.57/0.75  % (19123)Instructions burned: 56 (million)
% 0.57/0.75  % (19123)------------------------------
% 0.57/0.75  % (19123)------------------------------
% 0.57/0.75  % (19116)Instruction limit reached!
% 0.57/0.75  % (19116)------------------------------
% 0.57/0.75  % (19116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (19116)Termination reason: Unknown
% 0.57/0.75  % (19116)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (19116)Memory used [KB]: 2005
% 0.57/0.75  % (19116)Time elapsed: 0.021 s
% 0.57/0.75  % (19116)Instructions burned: 34 (million)
% 0.57/0.75  % (19116)------------------------------
% 0.57/0.75  % (19116)------------------------------
% 0.57/0.75  % (19119)Instruction limit reached!
% 0.57/0.75  % (19119)------------------------------
% 0.57/0.75  % (19119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (19120)Instruction limit reached!
% 0.57/0.75  % (19120)------------------------------
% 0.57/0.75  % (19120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (19119)Termination reason: Unknown
% 0.57/0.75  % (19119)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (19119)Memory used [KB]: 2145
% 0.57/0.75  % (19119)Time elapsed: 0.021 s
% 0.57/0.75  % (19119)Instructions burned: 34 (million)
% 0.57/0.75  % (19119)------------------------------
% 0.57/0.75  % (19119)------------------------------
% 0.57/0.75  % (19120)Termination reason: Unknown
% 0.57/0.75  % (19120)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (19120)Memory used [KB]: 2062
% 0.57/0.75  % (19120)Time elapsed: 0.021 s
% 0.57/0.75  % (19120)Instructions burned: 34 (million)
% 0.57/0.75  % (19120)------------------------------
% 0.57/0.75  % (19120)------------------------------
% 0.57/0.76  % (19124)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)
% 0.57/0.76  % (19125)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)
% 0.57/0.76  % (19126)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)
% 0.57/0.76  % (19127)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)
% 0.57/0.76  % (19121)Instruction limit reached!
% 0.57/0.76  % (19121)------------------------------
% 0.57/0.76  % (19121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (19121)Termination reason: Unknown
% 0.57/0.76  % (19121)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (19121)Memory used [KB]: 2206
% 0.57/0.76  % (19121)Time elapsed: 0.028 s
% 0.57/0.76  % (19121)Instructions burned: 45 (million)
% 0.57/0.76  % (19121)------------------------------
% 0.57/0.76  % (19121)------------------------------
% 0.68/0.76  % (19128)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  % (19117)First to succeed.
% 0.68/0.77  % (19124)Instruction limit reached!
% 0.68/0.77  % (19124)------------------------------
% 0.68/0.77  % (19124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (19124)Termination reason: Unknown
% 0.68/0.77  % (19124)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (19124)Memory used [KB]: 2608
% 0.68/0.77  % (19124)Time elapsed: 0.020 s
% 0.68/0.77  % (19124)Instructions burned: 56 (million)
% 0.68/0.77  % (19124)------------------------------
% 0.68/0.77  % (19124)------------------------------
% 0.68/0.77  % (19117)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19115"
% 0.68/0.78  % (19117)Refutation found. Thanks to Tanya!
% 0.68/0.78  % SZS status Theorem for theBenchmark
% 0.68/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.78  % (19117)------------------------------
% 0.68/0.78  % (19117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (19117)Termination reason: Refutation
% 0.68/0.78  
% 0.68/0.78  % (19117)Memory used [KB]: 1975
% 0.68/0.78  % (19117)Time elapsed: 0.042 s
% 0.68/0.78  % (19117)Instructions burned: 72 (million)
% 0.68/0.78  % (19115)Success in time 0.413 s
% 0.68/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------