TSTP Solution File: SYN461-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN461-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:11 EDT 2022

% Result   : Unsatisfiable 1.79s 0.60s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  293
% Syntax   : Number of formulae    :  829 (   1 unt;   0 def)
%            Number of atoms       : 2928 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3645 (1546   ~;1913   |;   0   &)
%                                         ( 186 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  215 ( 214 usr; 211 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  277 ( 277   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4261,plain,
    $false,
    inference(avatar_sat_refutation,[],[f269,f277,f285,f294,f311,f332,f341,f346,f359,f381,f403,f412,f420,f429,f443,f452,f480,f499,f503,f508,f516,f524,f532,f537,f545,f554,f559,f567,f575,f586,f592,f614,f619,f623,f628,f634,f643,f657,f661,f662,f667,f673,f678,f687,f692,f701,f716,f717,f727,f739,f745,f754,f755,f760,f767,f776,f783,f788,f794,f799,f805,f810,f811,f826,f834,f835,f840,f845,f850,f860,f861,f871,f876,f891,f896,f906,f907,f922,f923,f928,f934,f945,f950,f955,f960,f965,f966,f973,f980,f985,f995,f1000,f1001,f1012,f1019,f1035,f1036,f1038,f1043,f1048,f1053,f1059,f1064,f1066,f1073,f1075,f1081,f1086,f1091,f1096,f1102,f1103,f1104,f1109,f1114,f1119,f1121,f1126,f1131,f1132,f1133,f1137,f1138,f1139,f1140,f1145,f1147,f1152,f1157,f1158,f1163,f1168,f1170,f1171,f1177,f1182,f1184,f1189,f1194,f1257,f1259,f1613,f1708,f1817,f1818,f1866,f1912,f2156,f2180,f2218,f2402,f2472,f2474,f2518,f2573,f2597,f2603,f2625,f2636,f2853,f2951,f2975,f2984,f3005,f3058,f3143,f3146,f3189,f3195,f3203,f3228,f3265,f3271,f3327,f3347,f3376,f3378,f3379,f3399,f3432,f3470,f3547,f3549,f3551,f3580,f3636,f3663,f3680,f3689,f3733,f3755,f3804,f3858,f3861,f3877,f3880,f3996,f4080,f4130,f4173,f4240,f4260]) ).

fof(f4260,plain,
    ( ~ spl42_6
    | ~ spl42_7
    | ~ spl42_78
    | ~ spl42_87
    | spl42_155 ),
    inference(avatar_contradiction_clause,[],[f4259]) ).

fof(f4259,plain,
    ( $false
    | ~ spl42_6
    | ~ spl42_7
    | ~ spl42_78
    | ~ spl42_87
    | spl42_155 ),
    inference(subsumption_resolution,[],[f4255,f289]) ).

fof(f289,plain,
    ( c3_1(a1207)
    | ~ spl42_7 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl42_7
  <=> c3_1(a1207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_7])]) ).

fof(f4255,plain,
    ( ~ c3_1(a1207)
    | ~ spl42_6
    | ~ spl42_78
    | ~ spl42_87
    | spl42_155 ),
    inference(resolution,[],[f4178,f994]) ).

fof(f994,plain,
    ( ~ c1_1(a1207)
    | spl42_155 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl42_155
  <=> c1_1(a1207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).

fof(f4178,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl42_6
    | ~ spl42_78
    | ~ spl42_87 ),
    inference(subsumption_resolution,[],[f642,f4177]) ).

fof(f4177,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_6
    | ~ spl42_78 ),
    inference(subsumption_resolution,[],[f599,f284]) ).

fof(f284,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl42_6 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f283,plain,
    ( spl42_6
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).

fof(f599,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl42_78 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f598,plain,
    ( spl42_78
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).

fof(f642,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl42_87 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl42_87
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).

fof(f4240,plain,
    ( ~ spl42_6
    | ~ spl42_78
    | ~ spl42_87
    | ~ spl42_91
    | spl42_92 ),
    inference(avatar_contradiction_clause,[],[f4231]) ).

fof(f4231,plain,
    ( $false
    | ~ spl42_6
    | ~ spl42_78
    | ~ spl42_87
    | ~ spl42_91
    | spl42_92 ),
    inference(resolution,[],[f4226,f666]) ).

fof(f666,plain,
    ( ~ c1_1(a1194)
    | spl42_92 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f664,plain,
    ( spl42_92
  <=> c1_1(a1194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).

fof(f4226,plain,
    ( ! [X1] : c1_1(X1)
    | ~ spl42_6
    | ~ spl42_78
    | ~ spl42_87
    | ~ spl42_91 ),
    inference(subsumption_resolution,[],[f4225,f4178]) ).

fof(f4225,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1) )
    | ~ spl42_6
    | ~ spl42_78
    | ~ spl42_91 ),
    inference(subsumption_resolution,[],[f660,f4177]) ).

fof(f660,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl42_91 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f659,plain,
    ( spl42_91
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_91])]) ).

fof(f4173,plain,
    ( ~ spl42_37
    | ~ spl42_61
    | ~ spl42_85
    | spl42_128 ),
    inference(avatar_contradiction_clause,[],[f4172]) ).

fof(f4172,plain,
    ( $false
    | ~ spl42_37
    | ~ spl42_61
    | ~ spl42_85
    | spl42_128 ),
    inference(subsumption_resolution,[],[f4166,f633]) ).

fof(f633,plain,
    ( c0_1(a1174)
    | ~ spl42_85 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl42_85
  <=> c0_1(a1174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).

fof(f4166,plain,
    ( ~ c0_1(a1174)
    | ~ spl42_37
    | ~ spl42_61
    | spl42_128 ),
    inference(resolution,[],[f4093,f849]) ).

fof(f849,plain,
    ( ~ c3_1(a1174)
    | spl42_128 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f847,plain,
    ( spl42_128
  <=> c3_1(a1174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_128])]) ).

fof(f4093,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_37
    | ~ spl42_61 ),
    inference(subsumption_resolution,[],[f419,f523]) ).

fof(f523,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_61 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl42_61
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_61])]) ).

fof(f419,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_37 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl42_37
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_37])]) ).

fof(f4130,plain,
    ( ~ spl42_2
    | ~ spl42_33
    | ~ spl42_37
    | ~ spl42_50
    | ~ spl42_56
    | ~ spl42_61 ),
    inference(avatar_contradiction_clause,[],[f4124]) ).

fof(f4124,plain,
    ( $false
    | ~ spl42_2
    | ~ spl42_33
    | ~ spl42_37
    | ~ spl42_50
    | ~ spl42_56
    | ~ spl42_61 ),
    inference(resolution,[],[f4101,f268]) ).

fof(f268,plain,
    ( c0_1(a1168)
    | ~ spl42_2 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl42_2
  <=> c0_1(a1168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).

fof(f4101,plain,
    ( ! [X0] : ~ c0_1(X0)
    | ~ spl42_33
    | ~ spl42_37
    | ~ spl42_50
    | ~ spl42_56
    | ~ spl42_61 ),
    inference(subsumption_resolution,[],[f4100,f4099]) ).

fof(f4099,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl42_33
    | ~ spl42_50 ),
    inference(subsumption_resolution,[],[f475,f402]) ).

fof(f402,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl42_33 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f401,plain,
    ( spl42_33
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_33])]) ).

fof(f475,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_50 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl42_50
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_50])]) ).

fof(f4100,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_37
    | ~ spl42_56
    | ~ spl42_61 ),
    inference(subsumption_resolution,[],[f502,f4093]) ).

fof(f502,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl42_56 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl42_56
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).

fof(f4080,plain,
    ( ~ spl42_80
    | ~ spl42_162
    | spl42_176
    | ~ spl42_193 ),
    inference(avatar_contradiction_clause,[],[f4079]) ).

fof(f4079,plain,
    ( $false
    | ~ spl42_80
    | ~ spl42_162
    | spl42_176
    | ~ spl42_193 ),
    inference(subsumption_resolution,[],[f4078,f2369]) ).

fof(f2369,plain,
    ( c3_1(a1168)
    | ~ spl42_193 ),
    inference(avatar_component_clause,[],[f2367]) ).

fof(f2367,plain,
    ( spl42_193
  <=> c3_1(a1168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_193])]) ).

fof(f4078,plain,
    ( ~ c3_1(a1168)
    | ~ spl42_80
    | ~ spl42_162
    | spl42_176 ),
    inference(subsumption_resolution,[],[f4028,f1118]) ).

fof(f1118,plain,
    ( ~ c2_1(a1168)
    | spl42_176 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1116,plain,
    ( spl42_176
  <=> c2_1(a1168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).

fof(f4028,plain,
    ( c2_1(a1168)
    | ~ c3_1(a1168)
    | ~ spl42_80
    | ~ spl42_162 ),
    inference(resolution,[],[f607,f1034]) ).

fof(f1034,plain,
    ( c1_1(a1168)
    | ~ spl42_162 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1032,plain,
    ( spl42_162
  <=> c1_1(a1168) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).

fof(f607,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl42_80 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl42_80
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).

fof(f3996,plain,
    ( ~ spl42_4
    | ~ spl42_83
    | ~ spl42_158
    | spl42_171 ),
    inference(avatar_contradiction_clause,[],[f3995]) ).

fof(f3995,plain,
    ( $false
    | ~ spl42_4
    | ~ spl42_83
    | ~ spl42_158
    | spl42_171 ),
    inference(subsumption_resolution,[],[f3976,f1090]) ).

fof(f1090,plain,
    ( ~ c0_1(a1172)
    | spl42_171 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1088,plain,
    ( spl42_171
  <=> c0_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).

fof(f3976,plain,
    ( c0_1(a1172)
    | ~ spl42_4
    | ~ spl42_83
    | ~ spl42_158 ),
    inference(resolution,[],[f3921,f1011]) ).

fof(f1011,plain,
    ( c3_1(a1172)
    | ~ spl42_158 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1009,plain,
    ( spl42_158
  <=> c3_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).

fof(f3921,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl42_4
    | ~ spl42_83 ),
    inference(subsumption_resolution,[],[f622,f276]) ).

fof(f276,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl42_4 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl42_4
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).

fof(f622,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl42_83 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f621,plain,
    ( spl42_83
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).

fof(f3880,plain,
    ( ~ spl42_33
    | ~ spl42_63
    | ~ spl42_91
    | ~ spl42_132
    | spl42_163 ),
    inference(avatar_contradiction_clause,[],[f3872]) ).

fof(f3872,plain,
    ( $false
    | ~ spl42_33
    | ~ spl42_63
    | ~ spl42_91
    | ~ spl42_132
    | spl42_163 ),
    inference(resolution,[],[f3864,f1042]) ).

fof(f1042,plain,
    ( ~ c3_1(a1178)
    | spl42_163 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1040,plain,
    ( spl42_163
  <=> c3_1(a1178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).

fof(f3864,plain,
    ( ! [X1] : c3_1(X1)
    | ~ spl42_33
    | ~ spl42_63
    | ~ spl42_91
    | ~ spl42_132 ),
    inference(subsumption_resolution,[],[f3863,f3591]) ).

fof(f3591,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl42_33
    | ~ spl42_63 ),
    inference(subsumption_resolution,[],[f531,f402]) ).

fof(f531,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl42_63 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl42_63
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).

fof(f3863,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1) )
    | ~ spl42_33
    | ~ spl42_63
    | ~ spl42_91
    | ~ spl42_132 ),
    inference(subsumption_resolution,[],[f660,f3862]) ).

fof(f3862,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl42_33
    | ~ spl42_63
    | ~ spl42_132 ),
    inference(subsumption_resolution,[],[f870,f3591]) ).

fof(f870,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl42_132 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl42_132
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_132])]) ).

fof(f3877,plain,
    ( ~ spl42_33
    | ~ spl42_63
    | ~ spl42_91
    | ~ spl42_132
    | spl42_186 ),
    inference(avatar_contradiction_clause,[],[f3869]) ).

fof(f3869,plain,
    ( $false
    | ~ spl42_33
    | ~ spl42_63
    | ~ spl42_91
    | ~ spl42_132
    | spl42_186 ),
    inference(resolution,[],[f3864,f1181]) ).

fof(f1181,plain,
    ( ~ c3_1(a1199)
    | spl42_186 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1179,plain,
    ( spl42_186
  <=> c3_1(a1199) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_186])]) ).

fof(f3861,plain,
    ( ~ spl42_198
    | spl42_28
    | ~ spl42_33
    | ~ spl42_63 ),
    inference(avatar_split_clause,[],[f3841,f530,f401,f378,f3350]) ).

fof(f3350,plain,
    ( spl42_198
  <=> c0_1(a1179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_198])]) ).

fof(f378,plain,
    ( spl42_28
  <=> c3_1(a1179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).

fof(f3841,plain,
    ( ~ c0_1(a1179)
    | spl42_28
    | ~ spl42_33
    | ~ spl42_63 ),
    inference(resolution,[],[f380,f3591]) ).

fof(f380,plain,
    ( ~ c3_1(a1179)
    | spl42_28 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f3858,plain,
    ( ~ spl42_2
    | ~ spl42_33
    | ~ spl42_50
    | ~ spl42_56
    | ~ spl42_63 ),
    inference(avatar_contradiction_clause,[],[f3852]) ).

fof(f3852,plain,
    ( $false
    | ~ spl42_2
    | ~ spl42_33
    | ~ spl42_50
    | ~ spl42_56
    | ~ spl42_63 ),
    inference(resolution,[],[f3812,f268]) ).

fof(f3812,plain,
    ( ! [X0] : ~ c0_1(X0)
    | ~ spl42_33
    | ~ spl42_50
    | ~ spl42_56
    | ~ spl42_63 ),
    inference(subsumption_resolution,[],[f3811,f3809]) ).

fof(f3809,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_33
    | ~ spl42_50 ),
    inference(subsumption_resolution,[],[f475,f402]) ).

fof(f3811,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl42_33
    | ~ spl42_56
    | ~ spl42_63 ),
    inference(subsumption_resolution,[],[f502,f3591]) ).

fof(f3804,plain,
    ( ~ spl42_6
    | ~ spl42_33
    | ~ spl42_49
    | ~ spl42_63
    | ~ spl42_107
    | ~ spl42_132
    | spl42_163 ),
    inference(avatar_contradiction_clause,[],[f3802]) ).

fof(f3802,plain,
    ( $false
    | ~ spl42_6
    | ~ spl42_33
    | ~ spl42_49
    | ~ spl42_63
    | ~ spl42_107
    | ~ spl42_132
    | spl42_163 ),
    inference(resolution,[],[f3796,f1042]) ).

fof(f3796,plain,
    ( ! [X1] : c3_1(X1)
    | ~ spl42_6
    | ~ spl42_33
    | ~ spl42_49
    | ~ spl42_63
    | ~ spl42_107
    | ~ spl42_132 ),
    inference(subsumption_resolution,[],[f3795,f3591]) ).

fof(f3795,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl42_6
    | ~ spl42_49
    | ~ spl42_107
    | ~ spl42_132 ),
    inference(subsumption_resolution,[],[f870,f3758]) ).

fof(f3758,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl42_6
    | ~ spl42_49
    | ~ spl42_107 ),
    inference(subsumption_resolution,[],[f471,f3757]) ).

fof(f3757,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl42_6
    | ~ spl42_107 ),
    inference(subsumption_resolution,[],[f738,f284]) ).

fof(f738,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl42_107 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f737,plain,
    ( spl42_107
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).

fof(f471,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl42_49 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl42_49
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_49])]) ).

fof(f3755,plain,
    ( ~ spl42_33
    | ~ spl42_63
    | ~ spl42_85
    | spl42_128 ),
    inference(avatar_contradiction_clause,[],[f3754]) ).

fof(f3754,plain,
    ( $false
    | ~ spl42_33
    | ~ spl42_63
    | ~ spl42_85
    | spl42_128 ),
    inference(subsumption_resolution,[],[f3752,f633]) ).

fof(f3752,plain,
    ( ~ c0_1(a1174)
    | ~ spl42_33
    | ~ spl42_63
    | spl42_128 ),
    inference(resolution,[],[f849,f3591]) ).

fof(f3733,plain,
    ( ~ spl42_37
    | spl42_44
    | ~ spl42_55
    | ~ spl42_132 ),
    inference(avatar_contradiction_clause,[],[f3732]) ).

fof(f3732,plain,
    ( $false
    | ~ spl42_37
    | spl42_44
    | ~ spl42_55
    | ~ spl42_132 ),
    inference(subsumption_resolution,[],[f3726,f451]) ).

fof(f451,plain,
    ( ~ c3_1(a1180)
    | spl42_44 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f449,plain,
    ( spl42_44
  <=> c3_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_44])]) ).

fof(f3726,plain,
    ( c3_1(a1180)
    | ~ spl42_37
    | ~ spl42_55
    | ~ spl42_132 ),
    inference(resolution,[],[f3646,f498]) ).

fof(f498,plain,
    ( c1_1(a1180)
    | ~ spl42_55 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl42_55
  <=> c1_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).

fof(f3646,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl42_37
    | ~ spl42_132 ),
    inference(subsumption_resolution,[],[f870,f419]) ).

fof(f3689,plain,
    ( ~ spl42_194
    | ~ spl42_59
    | spl42_143
    | ~ spl42_156 ),
    inference(avatar_split_clause,[],[f3688,f997,f925,f514,f2406]) ).

fof(f2406,plain,
    ( spl42_194
  <=> c3_1(a1200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).

fof(f514,plain,
    ( spl42_59
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_59])]) ).

fof(f925,plain,
    ( spl42_143
  <=> c1_1(a1200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).

fof(f997,plain,
    ( spl42_156
  <=> c0_1(a1200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).

fof(f3688,plain,
    ( ~ c3_1(a1200)
    | ~ spl42_59
    | spl42_143
    | ~ spl42_156 ),
    inference(subsumption_resolution,[],[f3356,f999]) ).

fof(f999,plain,
    ( c0_1(a1200)
    | ~ spl42_156 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f3356,plain,
    ( ~ c3_1(a1200)
    | ~ c0_1(a1200)
    | ~ spl42_59
    | spl42_143 ),
    inference(resolution,[],[f927,f515]) ).

fof(f515,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl42_59 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f927,plain,
    ( ~ c1_1(a1200)
    | spl42_143 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f3680,plain,
    ( ~ spl42_33
    | ~ spl42_83
    | ~ spl42_99
    | spl42_137
    | spl42_173 ),
    inference(avatar_contradiction_clause,[],[f3679]) ).

fof(f3679,plain,
    ( $false
    | ~ spl42_33
    | ~ spl42_83
    | ~ spl42_99
    | spl42_137
    | spl42_173 ),
    inference(subsumption_resolution,[],[f3672,f1101]) ).

fof(f1101,plain,
    ( ~ c0_1(a1192)
    | spl42_173 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f1099,plain,
    ( spl42_173
  <=> c0_1(a1192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_173])]) ).

fof(f3672,plain,
    ( c0_1(a1192)
    | ~ spl42_33
    | ~ spl42_83
    | ~ spl42_99
    | spl42_137 ),
    inference(resolution,[],[f3622,f895]) ).

fof(f895,plain,
    ( ~ c2_1(a1192)
    | spl42_137 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl42_137
  <=> c2_1(a1192) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_137])]) ).

fof(f3622,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl42_33
    | ~ spl42_83
    | ~ spl42_99 ),
    inference(subsumption_resolution,[],[f622,f3400]) ).

fof(f3400,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl42_33
    | ~ spl42_99 ),
    inference(subsumption_resolution,[],[f700,f402]) ).

fof(f700,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl42_99 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl42_99
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).

fof(f3663,plain,
    ( ~ spl42_147
    | ~ spl42_33
    | ~ spl42_63
    | spl42_167 ),
    inference(avatar_split_clause,[],[f3656,f1061,f530,f401,f947]) ).

fof(f947,plain,
    ( spl42_147
  <=> c0_1(a1176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).

fof(f1061,plain,
    ( spl42_167
  <=> c3_1(a1176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).

fof(f3656,plain,
    ( ~ c0_1(a1176)
    | ~ spl42_33
    | ~ spl42_63
    | spl42_167 ),
    inference(resolution,[],[f3591,f1063]) ).

fof(f1063,plain,
    ( ~ c3_1(a1176)
    | spl42_167 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f3636,plain,
    ( ~ spl42_49
    | spl42_104
    | ~ spl42_107
    | spl42_198 ),
    inference(avatar_contradiction_clause,[],[f3635]) ).

fof(f3635,plain,
    ( $false
    | ~ spl42_49
    | spl42_104
    | ~ spl42_107
    | spl42_198 ),
    inference(subsumption_resolution,[],[f3632,f3351]) ).

fof(f3351,plain,
    ( ~ c0_1(a1179)
    | spl42_198 ),
    inference(avatar_component_clause,[],[f3350]) ).

fof(f3632,plain,
    ( c0_1(a1179)
    | ~ spl42_49
    | spl42_104
    | ~ spl42_107 ),
    inference(resolution,[],[f3590,f726]) ).

fof(f726,plain,
    ( ~ c1_1(a1179)
    | spl42_104 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f724,plain,
    ( spl42_104
  <=> c1_1(a1179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_104])]) ).

fof(f3590,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl42_49
    | ~ spl42_107 ),
    inference(subsumption_resolution,[],[f738,f471]) ).

fof(f3580,plain,
    ( ~ spl42_2
    | ~ spl42_33
    | ~ spl42_50
    | ~ spl42_99
    | spl42_176 ),
    inference(avatar_contradiction_clause,[],[f3579]) ).

fof(f3579,plain,
    ( $false
    | ~ spl42_2
    | ~ spl42_33
    | ~ spl42_50
    | ~ spl42_99
    | spl42_176 ),
    inference(subsumption_resolution,[],[f3576,f268]) ).

fof(f3576,plain,
    ( ~ c0_1(a1168)
    | ~ spl42_33
    | ~ spl42_50
    | ~ spl42_99
    | spl42_176 ),
    inference(resolution,[],[f3554,f1118]) ).

fof(f3554,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_33
    | ~ spl42_50
    | ~ spl42_99 ),
    inference(subsumption_resolution,[],[f475,f3400]) ).

fof(f3551,plain,
    ( ~ spl42_4
    | ~ spl42_38
    | ~ spl42_56
    | ~ spl42_139 ),
    inference(avatar_contradiction_clause,[],[f3550]) ).

fof(f3550,plain,
    ( $false
    | ~ spl42_4
    | ~ spl42_38
    | ~ spl42_56
    | ~ spl42_139 ),
    inference(subsumption_resolution,[],[f3522,f905]) ).

fof(f905,plain,
    ( c2_1(a1182)
    | ~ spl42_139 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f903,plain,
    ( spl42_139
  <=> c2_1(a1182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).

fof(f3522,plain,
    ( ~ c2_1(a1182)
    | ~ spl42_4
    | ~ spl42_38
    | ~ spl42_56 ),
    inference(resolution,[],[f3456,f424]) ).

fof(f424,plain,
    ( c3_1(a1182)
    | ~ spl42_38 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl42_38
  <=> c3_1(a1182) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_38])]) ).

fof(f3456,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl42_4
    | ~ spl42_56 ),
    inference(subsumption_resolution,[],[f502,f276]) ).

fof(f3549,plain,
    ( ~ spl42_4
    | ~ spl42_56
    | ~ spl42_110
    | ~ spl42_185 ),
    inference(avatar_contradiction_clause,[],[f3548]) ).

fof(f3548,plain,
    ( $false
    | ~ spl42_4
    | ~ spl42_56
    | ~ spl42_110
    | ~ spl42_185 ),
    inference(subsumption_resolution,[],[f3519,f753]) ).

fof(f753,plain,
    ( c2_1(a1236)
    | ~ spl42_110 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl42_110
  <=> c2_1(a1236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_110])]) ).

fof(f3519,plain,
    ( ~ c2_1(a1236)
    | ~ spl42_4
    | ~ spl42_56
    | ~ spl42_185 ),
    inference(resolution,[],[f3456,f1176]) ).

fof(f1176,plain,
    ( c3_1(a1236)
    | ~ spl42_185 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1174,plain,
    ( spl42_185
  <=> c3_1(a1236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).

fof(f3547,plain,
    ( ~ spl42_4
    | ~ spl42_56
    | ~ spl42_96
    | ~ spl42_158 ),
    inference(avatar_contradiction_clause,[],[f3546]) ).

fof(f3546,plain,
    ( $false
    | ~ spl42_4
    | ~ spl42_56
    | ~ spl42_96
    | ~ spl42_158 ),
    inference(subsumption_resolution,[],[f3533,f686]) ).

fof(f686,plain,
    ( c2_1(a1172)
    | ~ spl42_96 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f684,plain,
    ( spl42_96
  <=> c2_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).

fof(f3533,plain,
    ( ~ c2_1(a1172)
    | ~ spl42_4
    | ~ spl42_56
    | ~ spl42_158 ),
    inference(resolution,[],[f3456,f1011]) ).

fof(f3470,plain,
    ( ~ spl42_6
    | ~ spl42_78
    | spl42_113
    | ~ spl42_196 ),
    inference(avatar_contradiction_clause,[],[f3469]) ).

fof(f3469,plain,
    ( $false
    | ~ spl42_6
    | ~ spl42_78
    | spl42_113
    | ~ spl42_196 ),
    inference(subsumption_resolution,[],[f3463,f3200]) ).

fof(f3200,plain,
    ( c0_1(a1195)
    | ~ spl42_196 ),
    inference(avatar_component_clause,[],[f3199]) ).

fof(f3199,plain,
    ( spl42_196
  <=> c0_1(a1195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_196])]) ).

fof(f3463,plain,
    ( ~ c0_1(a1195)
    | ~ spl42_6
    | ~ spl42_78
    | spl42_113 ),
    inference(resolution,[],[f3401,f771]) ).

fof(f771,plain,
    ( ~ c1_1(a1195)
    | spl42_113 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl42_113
  <=> c1_1(a1195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_113])]) ).

fof(f3401,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_6
    | ~ spl42_78 ),
    inference(subsumption_resolution,[],[f599,f284]) ).

fof(f3432,plain,
    ( spl42_44
    | ~ spl42_11
    | ~ spl42_33
    | ~ spl42_55
    | ~ spl42_99 ),
    inference(avatar_split_clause,[],[f3431,f699,f496,f401,f305,f449]) ).

fof(f305,plain,
    ( spl42_11
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).

fof(f3431,plain,
    ( c3_1(a1180)
    | ~ spl42_11
    | ~ spl42_33
    | ~ spl42_55
    | ~ spl42_99 ),
    inference(subsumption_resolution,[],[f3389,f3400]) ).

fof(f3389,plain,
    ( c3_1(a1180)
    | ~ c2_1(a1180)
    | ~ spl42_11
    | ~ spl42_55 ),
    inference(resolution,[],[f306,f498]) ).

fof(f306,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl42_11 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f3399,plain,
    ( ~ spl42_11
    | ~ spl42_33
    | ~ spl42_85
    | spl42_128
    | ~ spl42_164 ),
    inference(avatar_contradiction_clause,[],[f3398]) ).

fof(f3398,plain,
    ( $false
    | ~ spl42_11
    | ~ spl42_33
    | ~ spl42_85
    | spl42_128
    | ~ spl42_164 ),
    inference(subsumption_resolution,[],[f3397,f3192]) ).

fof(f3192,plain,
    ( c2_1(a1174)
    | ~ spl42_33
    | ~ spl42_85
    | spl42_128 ),
    inference(subsumption_resolution,[],[f3178,f633]) ).

fof(f3178,plain,
    ( c2_1(a1174)
    | ~ c0_1(a1174)
    | ~ spl42_33
    | spl42_128 ),
    inference(resolution,[],[f402,f849]) ).

fof(f3397,plain,
    ( ~ c2_1(a1174)
    | ~ spl42_11
    | spl42_128
    | ~ spl42_164 ),
    inference(subsumption_resolution,[],[f3391,f849]) ).

fof(f3391,plain,
    ( c3_1(a1174)
    | ~ c2_1(a1174)
    | ~ spl42_11
    | ~ spl42_164 ),
    inference(resolution,[],[f306,f1047]) ).

fof(f1047,plain,
    ( c1_1(a1174)
    | ~ spl42_164 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1045,plain,
    ( spl42_164
  <=> c1_1(a1174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).

fof(f3379,plain,
    ( spl42_83
    | ~ spl42_6
    | ~ spl42_95
    | ~ spl42_107 ),
    inference(avatar_split_clause,[],[f3364,f737,f680,f283,f621]) ).

fof(f680,plain,
    ( spl42_95
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).

fof(f3364,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl42_6
    | ~ spl42_95
    | ~ spl42_107 ),
    inference(resolution,[],[f3330,f681]) ).

fof(f681,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl42_95 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f3330,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1) )
    | ~ spl42_6
    | ~ spl42_107 ),
    inference(subsumption_resolution,[],[f738,f284]) ).

fof(f3378,plain,
    ( ~ spl42_6
    | spl42_20
    | ~ spl42_107
    | spl42_112 ),
    inference(avatar_contradiction_clause,[],[f3377]) ).

fof(f3377,plain,
    ( $false
    | ~ spl42_6
    | spl42_20
    | ~ spl42_107
    | spl42_112 ),
    inference(subsumption_resolution,[],[f3367,f766]) ).

fof(f766,plain,
    ( ~ c2_1(a1204)
    | spl42_112 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl42_112
  <=> c2_1(a1204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_112])]) ).

fof(f3367,plain,
    ( c2_1(a1204)
    | ~ spl42_6
    | spl42_20
    | ~ spl42_107 ),
    inference(resolution,[],[f3330,f345]) ).

fof(f345,plain,
    ( ~ c1_1(a1204)
    | spl42_20 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl42_20
  <=> c1_1(a1204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_20])]) ).

fof(f3376,plain,
    ( ~ spl42_6
    | ~ spl42_107
    | spl42_119
    | spl42_149 ),
    inference(avatar_contradiction_clause,[],[f3375]) ).

fof(f3375,plain,
    ( $false
    | ~ spl42_6
    | ~ spl42_107
    | spl42_119
    | spl42_149 ),
    inference(subsumption_resolution,[],[f3373,f804]) ).

fof(f804,plain,
    ( ~ c2_1(a1184)
    | spl42_119 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f802,plain,
    ( spl42_119
  <=> c2_1(a1184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_119])]) ).

fof(f3373,plain,
    ( c2_1(a1184)
    | ~ spl42_6
    | ~ spl42_107
    | spl42_149 ),
    inference(resolution,[],[f3330,f959]) ).

fof(f959,plain,
    ( ~ c1_1(a1184)
    | spl42_149 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl42_149
  <=> c1_1(a1184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).

fof(f3347,plain,
    ( spl42_20
    | ~ spl42_40
    | spl42_112
    | ~ spl42_187 ),
    inference(avatar_contradiction_clause,[],[f3346]) ).

fof(f3346,plain,
    ( $false
    | spl42_20
    | ~ spl42_40
    | spl42_112
    | ~ spl42_187 ),
    inference(subsumption_resolution,[],[f3345,f1188]) ).

fof(f1188,plain,
    ( c3_1(a1204)
    | ~ spl42_187 ),
    inference(avatar_component_clause,[],[f1186]) ).

fof(f1186,plain,
    ( spl42_187
  <=> c3_1(a1204) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).

fof(f3345,plain,
    ( ~ c3_1(a1204)
    | spl42_20
    | ~ spl42_40
    | spl42_112 ),
    inference(subsumption_resolution,[],[f3342,f766]) ).

fof(f3342,plain,
    ( c2_1(a1204)
    | ~ c3_1(a1204)
    | spl42_20
    | ~ spl42_40 ),
    inference(resolution,[],[f345,f432]) ).

fof(f432,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl42_40 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f431,plain,
    ( spl42_40
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_40])]) ).

fof(f3327,plain,
    ( ~ spl42_59
    | ~ spl42_66
    | ~ spl42_87
    | spl42_92
    | ~ spl42_178
    | spl42_182 ),
    inference(avatar_contradiction_clause,[],[f3326]) ).

fof(f3326,plain,
    ( $false
    | ~ spl42_59
    | ~ spl42_66
    | ~ spl42_87
    | spl42_92
    | ~ spl42_178
    | spl42_182 ),
    inference(subsumption_resolution,[],[f3325,f1130]) ).

fof(f1130,plain,
    ( c2_1(a1194)
    | ~ spl42_178 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1128,plain,
    ( spl42_178
  <=> c2_1(a1194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).

fof(f3325,plain,
    ( ~ c2_1(a1194)
    | ~ spl42_59
    | ~ spl42_66
    | ~ spl42_87
    | spl42_92
    | spl42_182 ),
    inference(subsumption_resolution,[],[f3324,f1156]) ).

fof(f1156,plain,
    ( ~ c0_1(a1194)
    | spl42_182 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1154,plain,
    ( spl42_182
  <=> c0_1(a1194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_182])]) ).

fof(f3324,plain,
    ( c0_1(a1194)
    | ~ c2_1(a1194)
    | ~ spl42_59
    | ~ spl42_66
    | ~ spl42_87
    | spl42_92 ),
    inference(resolution,[],[f3239,f544]) ).

fof(f544,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl42_66 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f543,plain,
    ( spl42_66
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_66])]) ).

fof(f3239,plain,
    ( ~ c3_1(a1194)
    | ~ spl42_59
    | ~ spl42_87
    | spl42_92 ),
    inference(resolution,[],[f3229,f666]) ).

fof(f3229,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl42_59
    | ~ spl42_87 ),
    inference(subsumption_resolution,[],[f642,f515]) ).

fof(f3271,plain,
    ( ~ spl42_59
    | ~ spl42_71
    | ~ spl42_87
    | spl42_92
    | ~ spl42_178 ),
    inference(avatar_contradiction_clause,[],[f3270]) ).

fof(f3270,plain,
    ( $false
    | ~ spl42_59
    | ~ spl42_71
    | ~ spl42_87
    | spl42_92
    | ~ spl42_178 ),
    inference(subsumption_resolution,[],[f3269,f1130]) ).

fof(f3269,plain,
    ( ~ c2_1(a1194)
    | ~ spl42_59
    | ~ spl42_71
    | ~ spl42_87
    | spl42_92 ),
    inference(subsumption_resolution,[],[f3259,f3239]) ).

fof(f3259,plain,
    ( c3_1(a1194)
    | ~ c2_1(a1194)
    | ~ spl42_71
    | spl42_92 ),
    inference(resolution,[],[f566,f666]) ).

fof(f566,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl42_71 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl42_71
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).

fof(f3265,plain,
    ( ~ spl42_71
    | spl42_113
    | ~ spl42_127
    | spl42_136 ),
    inference(avatar_contradiction_clause,[],[f3264]) ).

fof(f3264,plain,
    ( $false
    | ~ spl42_71
    | spl42_113
    | ~ spl42_127
    | spl42_136 ),
    inference(subsumption_resolution,[],[f3263,f890]) ).

fof(f890,plain,
    ( ~ c3_1(a1195)
    | spl42_136 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f888,plain,
    ( spl42_136
  <=> c3_1(a1195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_136])]) ).

fof(f3263,plain,
    ( c3_1(a1195)
    | ~ spl42_71
    | spl42_113
    | ~ spl42_127 ),
    inference(subsumption_resolution,[],[f3258,f844]) ).

fof(f844,plain,
    ( c2_1(a1195)
    | ~ spl42_127 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl42_127
  <=> c2_1(a1195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).

fof(f3258,plain,
    ( ~ c2_1(a1195)
    | c3_1(a1195)
    | ~ spl42_71
    | spl42_113 ),
    inference(resolution,[],[f566,f771]) ).

fof(f3228,plain,
    ( ~ spl42_49
    | spl42_92
    | ~ spl42_178
    | spl42_182 ),
    inference(avatar_contradiction_clause,[],[f3227]) ).

fof(f3227,plain,
    ( $false
    | ~ spl42_49
    | spl42_92
    | ~ spl42_178
    | spl42_182 ),
    inference(subsumption_resolution,[],[f3226,f1130]) ).

fof(f3226,plain,
    ( ~ c2_1(a1194)
    | ~ spl42_49
    | spl42_92
    | spl42_182 ),
    inference(subsumption_resolution,[],[f3219,f1156]) ).

fof(f3219,plain,
    ( c0_1(a1194)
    | ~ c2_1(a1194)
    | ~ spl42_49
    | spl42_92 ),
    inference(resolution,[],[f471,f666]) ).

fof(f3203,plain,
    ( ~ spl42_127
    | spl42_196
    | ~ spl42_66
    | spl42_136 ),
    inference(avatar_split_clause,[],[f2927,f888,f543,f3199,f842]) ).

fof(f2927,plain,
    ( c0_1(a1195)
    | ~ c2_1(a1195)
    | ~ spl42_66
    | spl42_136 ),
    inference(resolution,[],[f544,f890]) ).

fof(f3195,plain,
    ( ~ spl42_33
    | spl42_90
    | ~ spl42_170
    | spl42_188 ),
    inference(avatar_contradiction_clause,[],[f3194]) ).

fof(f3194,plain,
    ( $false
    | ~ spl42_33
    | spl42_90
    | ~ spl42_170
    | spl42_188 ),
    inference(subsumption_resolution,[],[f3193,f1085]) ).

fof(f1085,plain,
    ( c0_1(a1186)
    | ~ spl42_170 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1083,plain,
    ( spl42_170
  <=> c0_1(a1186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).

fof(f3193,plain,
    ( ~ c0_1(a1186)
    | ~ spl42_33
    | spl42_90
    | spl42_188 ),
    inference(subsumption_resolution,[],[f3173,f1193]) ).

fof(f1193,plain,
    ( ~ c2_1(a1186)
    | spl42_188 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1191,plain,
    ( spl42_188
  <=> c2_1(a1186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).

fof(f3173,plain,
    ( c2_1(a1186)
    | ~ c0_1(a1186)
    | ~ spl42_33
    | spl42_90 ),
    inference(resolution,[],[f402,f656]) ).

fof(f656,plain,
    ( ~ c3_1(a1186)
    | spl42_90 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl42_90
  <=> c3_1(a1186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).

fof(f3189,plain,
    ( ~ spl42_2
    | ~ spl42_33
    | spl42_176
    | spl42_193 ),
    inference(avatar_contradiction_clause,[],[f3188]) ).

fof(f3188,plain,
    ( $false
    | ~ spl42_2
    | ~ spl42_33
    | spl42_176
    | spl42_193 ),
    inference(subsumption_resolution,[],[f3187,f268]) ).

fof(f3187,plain,
    ( ~ c0_1(a1168)
    | ~ spl42_33
    | spl42_176
    | spl42_193 ),
    inference(subsumption_resolution,[],[f3180,f1118]) ).

fof(f3180,plain,
    ( c2_1(a1168)
    | ~ c0_1(a1168)
    | ~ spl42_33
    | spl42_193 ),
    inference(resolution,[],[f402,f2368]) ).

fof(f2368,plain,
    ( ~ c3_1(a1168)
    | spl42_193 ),
    inference(avatar_component_clause,[],[f2367]) ).

fof(f3146,plain,
    ( ~ spl42_17
    | spl42_44
    | ~ spl42_55
    | ~ spl42_66
    | spl42_126 ),
    inference(avatar_contradiction_clause,[],[f3145]) ).

fof(f3145,plain,
    ( $false
    | ~ spl42_17
    | spl42_44
    | ~ spl42_55
    | ~ spl42_66
    | spl42_126 ),
    inference(subsumption_resolution,[],[f3144,f451]) ).

fof(f3144,plain,
    ( c3_1(a1180)
    | ~ spl42_17
    | spl42_44
    | ~ spl42_55
    | ~ spl42_66
    | spl42_126 ),
    inference(subsumption_resolution,[],[f3132,f2965]) ).

fof(f2965,plain,
    ( ~ c2_1(a1180)
    | spl42_44
    | ~ spl42_66
    | spl42_126 ),
    inference(subsumption_resolution,[],[f2930,f839]) ).

fof(f839,plain,
    ( ~ c0_1(a1180)
    | spl42_126 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl42_126
  <=> c0_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).

fof(f2930,plain,
    ( c0_1(a1180)
    | ~ c2_1(a1180)
    | spl42_44
    | ~ spl42_66 ),
    inference(resolution,[],[f544,f451]) ).

fof(f3132,plain,
    ( c2_1(a1180)
    | c3_1(a1180)
    | ~ spl42_17
    | ~ spl42_55 ),
    inference(resolution,[],[f331,f498]) ).

fof(f331,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl42_17 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl42_17
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).

fof(f3143,plain,
    ( ~ spl42_17
    | spl42_94
    | spl42_148
    | ~ spl42_169 ),
    inference(avatar_contradiction_clause,[],[f3142]) ).

fof(f3142,plain,
    ( $false
    | ~ spl42_17
    | spl42_94
    | spl42_148
    | ~ spl42_169 ),
    inference(subsumption_resolution,[],[f3141,f677]) ).

fof(f677,plain,
    ( ~ c2_1(a1169)
    | spl42_94 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl42_94
  <=> c2_1(a1169) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).

fof(f3141,plain,
    ( c2_1(a1169)
    | ~ spl42_17
    | spl42_148
    | ~ spl42_169 ),
    inference(subsumption_resolution,[],[f3136,f954]) ).

fof(f954,plain,
    ( ~ c3_1(a1169)
    | spl42_148 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl42_148
  <=> c3_1(a1169) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_148])]) ).

fof(f3136,plain,
    ( c3_1(a1169)
    | c2_1(a1169)
    | ~ spl42_17
    | ~ spl42_169 ),
    inference(resolution,[],[f331,f1080]) ).

fof(f1080,plain,
    ( c1_1(a1169)
    | ~ spl42_169 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1078,plain,
    ( spl42_169
  <=> c1_1(a1169) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_169])]) ).

fof(f3058,plain,
    ( ~ spl42_2
    | ~ spl42_6
    | ~ spl42_106
    | spl42_176 ),
    inference(avatar_contradiction_clause,[],[f3057]) ).

fof(f3057,plain,
    ( $false
    | ~ spl42_2
    | ~ spl42_6
    | ~ spl42_106
    | spl42_176 ),
    inference(subsumption_resolution,[],[f3052,f268]) ).

fof(f3052,plain,
    ( ~ c0_1(a1168)
    | ~ spl42_6
    | ~ spl42_106
    | spl42_176 ),
    inference(resolution,[],[f3006,f1118]) ).

fof(f3006,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_6
    | ~ spl42_106 ),
    inference(subsumption_resolution,[],[f734,f284]) ).

fof(f734,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_106 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl42_106
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_106])]) ).

fof(f3005,plain,
    ( ~ spl42_142
    | ~ spl42_63
    | ~ spl42_66
    | spl42_163 ),
    inference(avatar_split_clause,[],[f2994,f1040,f543,f530,f919]) ).

fof(f919,plain,
    ( spl42_142
  <=> c2_1(a1178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).

fof(f2994,plain,
    ( ~ c2_1(a1178)
    | ~ spl42_63
    | ~ spl42_66
    | spl42_163 ),
    inference(resolution,[],[f2963,f1042]) ).

fof(f2963,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl42_63
    | ~ spl42_66 ),
    inference(subsumption_resolution,[],[f531,f544]) ).

fof(f2984,plain,
    ( ~ spl42_6
    | ~ spl42_78
    | spl42_118
    | ~ spl42_181 ),
    inference(avatar_contradiction_clause,[],[f2983]) ).

fof(f2983,plain,
    ( $false
    | ~ spl42_6
    | ~ spl42_78
    | spl42_118
    | ~ spl42_181 ),
    inference(subsumption_resolution,[],[f2979,f1151]) ).

fof(f1151,plain,
    ( c0_1(a1211)
    | ~ spl42_181 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f1149,plain,
    ( spl42_181
  <=> c0_1(a1211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).

fof(f2979,plain,
    ( ~ c0_1(a1211)
    | ~ spl42_6
    | ~ spl42_78
    | spl42_118 ),
    inference(resolution,[],[f2959,f798]) ).

fof(f798,plain,
    ( ~ c1_1(a1211)
    | spl42_118 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl42_118
  <=> c1_1(a1211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_118])]) ).

fof(f2959,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_6
    | ~ spl42_78 ),
    inference(subsumption_resolution,[],[f284,f599]) ).

fof(f2975,plain,
    ( ~ spl42_18
    | ~ spl42_59
    | spl42_118
    | ~ spl42_181 ),
    inference(avatar_split_clause,[],[f2970,f1149,f796,f514,f334]) ).

fof(f334,plain,
    ( spl42_18
  <=> c3_1(a1211) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_18])]) ).

fof(f2970,plain,
    ( ~ c3_1(a1211)
    | ~ spl42_59
    | spl42_118
    | ~ spl42_181 ),
    inference(subsumption_resolution,[],[f2969,f1151]) ).

fof(f2969,plain,
    ( ~ c0_1(a1211)
    | ~ c3_1(a1211)
    | ~ spl42_59
    | spl42_118 ),
    inference(resolution,[],[f798,f515]) ).

fof(f2951,plain,
    ( ~ spl42_73
    | spl42_143
    | spl42_144
    | spl42_194 ),
    inference(avatar_contradiction_clause,[],[f2950]) ).

fof(f2950,plain,
    ( $false
    | ~ spl42_73
    | spl42_143
    | spl42_144
    | spl42_194 ),
    inference(subsumption_resolution,[],[f2949,f933]) ).

fof(f933,plain,
    ( ~ c2_1(a1200)
    | spl42_144 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl42_144
  <=> c2_1(a1200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).

fof(f2949,plain,
    ( c2_1(a1200)
    | ~ spl42_73
    | spl42_143
    | spl42_194 ),
    inference(subsumption_resolution,[],[f2943,f2407]) ).

fof(f2407,plain,
    ( ~ c3_1(a1200)
    | spl42_194 ),
    inference(avatar_component_clause,[],[f2406]) ).

fof(f2943,plain,
    ( c3_1(a1200)
    | c2_1(a1200)
    | ~ spl42_73
    | spl42_143 ),
    inference(resolution,[],[f574,f927]) ).

fof(f574,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl42_73 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl42_73
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).

fof(f2853,plain,
    ( ~ spl42_106
    | ~ spl42_162
    | spl42_176
    | ~ spl42_179 ),
    inference(avatar_contradiction_clause,[],[f2852]) ).

fof(f2852,plain,
    ( $false
    | ~ spl42_106
    | ~ spl42_162
    | spl42_176
    | ~ spl42_179 ),
    inference(subsumption_resolution,[],[f2849,f1118]) ).

fof(f2849,plain,
    ( c2_1(a1168)
    | ~ spl42_106
    | ~ spl42_162
    | ~ spl42_179 ),
    inference(resolution,[],[f2780,f1034]) ).

fof(f2780,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl42_106
    | ~ spl42_179 ),
    inference(subsumption_resolution,[],[f734,f1136]) ).

fof(f1136,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl42_179 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1135,plain,
    ( spl42_179
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).

fof(f2636,plain,
    ( ~ spl42_59
    | ~ spl42_87
    | ~ spl42_91
    | spl42_92
    | spl42_182 ),
    inference(avatar_contradiction_clause,[],[f2635]) ).

fof(f2635,plain,
    ( $false
    | ~ spl42_59
    | ~ spl42_87
    | ~ spl42_91
    | spl42_92
    | spl42_182 ),
    inference(subsumption_resolution,[],[f2629,f1156]) ).

fof(f2629,plain,
    ( c0_1(a1194)
    | ~ spl42_59
    | ~ spl42_87
    | ~ spl42_91
    | spl42_92 ),
    inference(resolution,[],[f2604,f666]) ).

fof(f2604,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl42_59
    | ~ spl42_87
    | ~ spl42_91 ),
    inference(subsumption_resolution,[],[f660,f2576]) ).

fof(f2576,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl42_59
    | ~ spl42_87 ),
    inference(subsumption_resolution,[],[f642,f515]) ).

fof(f2625,plain,
    ( ~ spl42_7
    | ~ spl42_59
    | ~ spl42_87
    | spl42_155 ),
    inference(avatar_contradiction_clause,[],[f2624]) ).

fof(f2624,plain,
    ( $false
    | ~ spl42_7
    | ~ spl42_59
    | ~ spl42_87
    | spl42_155 ),
    inference(subsumption_resolution,[],[f2615,f289]) ).

fof(f2615,plain,
    ( ~ c3_1(a1207)
    | ~ spl42_59
    | ~ spl42_87
    | spl42_155 ),
    inference(resolution,[],[f2576,f994]) ).

fof(f2603,plain,
    ( ~ spl42_63
    | ~ spl42_66
    | ~ spl42_127
    | spl42_136 ),
    inference(avatar_contradiction_clause,[],[f2602]) ).

fof(f2602,plain,
    ( $false
    | ~ spl42_63
    | ~ spl42_66
    | ~ spl42_127
    | spl42_136 ),
    inference(subsumption_resolution,[],[f2584,f844]) ).

fof(f2584,plain,
    ( ~ c2_1(a1195)
    | ~ spl42_63
    | ~ spl42_66
    | spl42_136 ),
    inference(resolution,[],[f2574,f890]) ).

fof(f2574,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl42_63
    | ~ spl42_66 ),
    inference(subsumption_resolution,[],[f531,f544]) ).

fof(f2597,plain,
    ( ~ spl42_63
    | ~ spl42_66
    | ~ spl42_68
    | spl42_167 ),
    inference(avatar_contradiction_clause,[],[f2596]) ).

fof(f2596,plain,
    ( $false
    | ~ spl42_63
    | ~ spl42_66
    | ~ spl42_68
    | spl42_167 ),
    inference(subsumption_resolution,[],[f2588,f553]) ).

fof(f553,plain,
    ( c2_1(a1176)
    | ~ spl42_68 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl42_68
  <=> c2_1(a1176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_68])]) ).

fof(f2588,plain,
    ( ~ c2_1(a1176)
    | ~ spl42_63
    | ~ spl42_66
    | spl42_167 ),
    inference(resolution,[],[f2574,f1063]) ).

fof(f2573,plain,
    ( ~ spl42_6
    | spl42_143
    | spl42_144
    | ~ spl42_156 ),
    inference(avatar_contradiction_clause,[],[f2572]) ).

fof(f2572,plain,
    ( $false
    | ~ spl42_6
    | spl42_143
    | spl42_144
    | ~ spl42_156 ),
    inference(subsumption_resolution,[],[f2571,f999]) ).

fof(f2571,plain,
    ( ~ c0_1(a1200)
    | ~ spl42_6
    | spl42_143
    | spl42_144 ),
    inference(subsumption_resolution,[],[f2565,f933]) ).

fof(f2565,plain,
    ( c2_1(a1200)
    | ~ c0_1(a1200)
    | ~ spl42_6
    | spl42_143 ),
    inference(resolution,[],[f284,f927]) ).

fof(f2518,plain,
    ( ~ spl42_2
    | ~ spl42_46
    | ~ spl42_59
    | ~ spl42_193 ),
    inference(avatar_split_clause,[],[f2443,f2367,f514,f458,f266]) ).

fof(f458,plain,
    ( spl42_46
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_46])]) ).

fof(f2443,plain,
    ( ~ c0_1(a1168)
    | ~ spl42_46
    | ~ spl42_59
    | ~ spl42_193 ),
    inference(resolution,[],[f2369,f1780]) ).

fof(f1780,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_46
    | ~ spl42_59 ),
    inference(subsumption_resolution,[],[f459,f515]) ).

fof(f459,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_46 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f2474,plain,
    ( spl42_133
    | ~ spl42_91
    | spl42_146
    | spl42_184 ),
    inference(avatar_split_clause,[],[f2473,f1165,f942,f659,f873]) ).

fof(f873,plain,
    ( spl42_133
  <=> c0_1(a1218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_133])]) ).

fof(f942,plain,
    ( spl42_146
  <=> c3_1(a1218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).

fof(f1165,plain,
    ( spl42_184
  <=> c1_1(a1218) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).

fof(f2473,plain,
    ( c0_1(a1218)
    | ~ spl42_91
    | spl42_146
    | spl42_184 ),
    inference(subsumption_resolution,[],[f2456,f944]) ).

fof(f944,plain,
    ( ~ c3_1(a1218)
    | spl42_146 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f2456,plain,
    ( c3_1(a1218)
    | c0_1(a1218)
    | ~ spl42_91
    | spl42_184 ),
    inference(resolution,[],[f660,f1167]) ).

fof(f1167,plain,
    ( ~ c1_1(a1218)
    | spl42_184 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f2472,plain,
    ( spl42_66
    | ~ spl42_11
    | ~ spl42_91 ),
    inference(avatar_split_clause,[],[f2458,f659,f305,f543]) ).

fof(f2458,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl42_11
    | ~ spl42_91 ),
    inference(duplicate_literal_removal,[],[f2450]) ).

fof(f2450,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl42_11
    | ~ spl42_91 ),
    inference(resolution,[],[f660,f306]) ).

fof(f2402,plain,
    ( ~ spl42_66
    | ~ spl42_172
    | spl42_180
    | spl42_186 ),
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2401,plain,
    ( $false
    | ~ spl42_66
    | ~ spl42_172
    | spl42_180
    | spl42_186 ),
    inference(subsumption_resolution,[],[f2400,f1144]) ).

fof(f1144,plain,
    ( ~ c0_1(a1199)
    | spl42_180 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1142,plain,
    ( spl42_180
  <=> c0_1(a1199) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).

fof(f2400,plain,
    ( c0_1(a1199)
    | ~ spl42_66
    | ~ spl42_172
    | spl42_186 ),
    inference(subsumption_resolution,[],[f2378,f1095]) ).

fof(f1095,plain,
    ( c2_1(a1199)
    | ~ spl42_172 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f1093,plain,
    ( spl42_172
  <=> c2_1(a1199) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).

fof(f2378,plain,
    ( ~ c2_1(a1199)
    | c0_1(a1199)
    | ~ spl42_66
    | spl42_186 ),
    inference(resolution,[],[f544,f1181]) ).

fof(f2218,plain,
    ( ~ spl42_68
    | ~ spl42_11
    | ~ spl42_71
    | spl42_167 ),
    inference(avatar_split_clause,[],[f2194,f1061,f565,f305,f551]) ).

fof(f2194,plain,
    ( ~ c2_1(a1176)
    | ~ spl42_11
    | ~ spl42_71
    | spl42_167 ),
    inference(resolution,[],[f2158,f1063]) ).

fof(f2158,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl42_11
    | ~ spl42_71 ),
    inference(subsumption_resolution,[],[f566,f306]) ).

fof(f2180,plain,
    ( ~ spl42_2
    | ~ spl42_106
    | ~ spl42_125
    | ~ spl42_162 ),
    inference(avatar_contradiction_clause,[],[f2179]) ).

fof(f2179,plain,
    ( $false
    | ~ spl42_2
    | ~ spl42_106
    | ~ spl42_125
    | ~ spl42_162 ),
    inference(subsumption_resolution,[],[f2172,f268]) ).

fof(f2172,plain,
    ( ~ c0_1(a1168)
    | ~ spl42_106
    | ~ spl42_125
    | ~ spl42_162 ),
    inference(resolution,[],[f2157,f1034]) ).

fof(f2157,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl42_106
    | ~ spl42_125 ),
    inference(subsumption_resolution,[],[f734,f833]) ).

fof(f833,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl42_125 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl42_125
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_125])]) ).

fof(f2156,plain,
    ( spl42_28
    | ~ spl42_73
    | spl42_104
    | spl42_183 ),
    inference(avatar_contradiction_clause,[],[f2155]) ).

fof(f2155,plain,
    ( $false
    | spl42_28
    | ~ spl42_73
    | spl42_104
    | spl42_183 ),
    inference(subsumption_resolution,[],[f2154,f380]) ).

fof(f2154,plain,
    ( c3_1(a1179)
    | ~ spl42_73
    | spl42_104
    | spl42_183 ),
    inference(subsumption_resolution,[],[f2151,f1162]) ).

fof(f1162,plain,
    ( ~ c2_1(a1179)
    | spl42_183 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f1160,plain,
    ( spl42_183
  <=> c2_1(a1179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).

fof(f2151,plain,
    ( c2_1(a1179)
    | c3_1(a1179)
    | ~ spl42_73
    | spl42_104 ),
    inference(resolution,[],[f726,f574]) ).

fof(f1912,plain,
    ( ~ spl42_7
    | ~ spl42_26
    | ~ spl42_81
    | spl42_155 ),
    inference(avatar_contradiction_clause,[],[f1911]) ).

fof(f1911,plain,
    ( $false
    | ~ spl42_7
    | ~ spl42_26
    | ~ spl42_81
    | spl42_155 ),
    inference(subsumption_resolution,[],[f1910,f289]) ).

fof(f1910,plain,
    ( ~ c3_1(a1207)
    | ~ spl42_26
    | ~ spl42_81
    | spl42_155 ),
    inference(subsumption_resolution,[],[f1909,f613]) ).

fof(f613,plain,
    ( c2_1(a1207)
    | ~ spl42_81 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl42_81
  <=> c2_1(a1207) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).

fof(f1909,plain,
    ( ~ c2_1(a1207)
    | ~ c3_1(a1207)
    | ~ spl42_26
    | spl42_155 ),
    inference(resolution,[],[f994,f371]) ).

fof(f371,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl42_26 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl42_26
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).

fof(f1866,plain,
    ( ~ spl42_142
    | ~ spl42_11
    | ~ spl42_150
    | spl42_163 ),
    inference(avatar_split_clause,[],[f1854,f1040,f962,f305,f919]) ).

fof(f962,plain,
    ( spl42_150
  <=> c1_1(a1178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).

fof(f1854,plain,
    ( ~ c2_1(a1178)
    | ~ spl42_11
    | ~ spl42_150
    | spl42_163 ),
    inference(subsumption_resolution,[],[f1847,f1042]) ).

fof(f1847,plain,
    ( c3_1(a1178)
    | ~ c2_1(a1178)
    | ~ spl42_11
    | ~ spl42_150 ),
    inference(resolution,[],[f306,f964]) ).

fof(f964,plain,
    ( c1_1(a1178)
    | ~ spl42_150 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f1818,plain,
    ( ~ spl42_166
    | ~ spl42_34
    | ~ spl42_46
    | ~ spl42_59 ),
    inference(avatar_split_clause,[],[f1801,f514,f458,f405,f1056]) ).

fof(f1056,plain,
    ( spl42_166
  <=> c0_1(a1190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_166])]) ).

fof(f405,plain,
    ( spl42_34
  <=> c3_1(a1190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_34])]) ).

fof(f1801,plain,
    ( ~ c0_1(a1190)
    | ~ spl42_34
    | ~ spl42_46
    | ~ spl42_59 ),
    inference(resolution,[],[f1780,f407]) ).

fof(f407,plain,
    ( c3_1(a1190)
    | ~ spl42_34 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f1817,plain,
    ( ~ spl42_18
    | ~ spl42_46
    | ~ spl42_59
    | ~ spl42_181 ),
    inference(avatar_contradiction_clause,[],[f1816]) ).

fof(f1816,plain,
    ( $false
    | ~ spl42_18
    | ~ spl42_46
    | ~ spl42_59
    | ~ spl42_181 ),
    inference(subsumption_resolution,[],[f1804,f1151]) ).

fof(f1804,plain,
    ( ~ c0_1(a1211)
    | ~ spl42_18
    | ~ spl42_46
    | ~ spl42_59 ),
    inference(resolution,[],[f1780,f336]) ).

fof(f336,plain,
    ( c3_1(a1211)
    | ~ spl42_18 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f1708,plain,
    ( ~ spl42_34
    | ~ spl42_46
    | ~ spl42_82
    | ~ spl42_95 ),
    inference(avatar_split_clause,[],[f1686,f680,f616,f458,f405]) ).

fof(f616,plain,
    ( spl42_82
  <=> c1_1(a1190) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).

fof(f1686,plain,
    ( ~ c3_1(a1190)
    | ~ spl42_46
    | ~ spl42_82
    | ~ spl42_95 ),
    inference(resolution,[],[f1648,f618]) ).

fof(f618,plain,
    ( c1_1(a1190)
    | ~ spl42_82 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f1648,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl42_46
    | ~ spl42_95 ),
    inference(subsumption_resolution,[],[f459,f681]) ).

fof(f1613,plain,
    ( ~ spl42_107
    | spl42_137
    | spl42_173
    | ~ spl42_179 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1612,plain,
    ( $false
    | ~ spl42_107
    | spl42_137
    | spl42_173
    | ~ spl42_179 ),
    inference(subsumption_resolution,[],[f1611,f1101]) ).

fof(f1611,plain,
    ( c0_1(a1192)
    | ~ spl42_107
    | spl42_137
    | ~ spl42_179 ),
    inference(resolution,[],[f895,f1544]) ).

fof(f1544,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl42_107
    | ~ spl42_179 ),
    inference(subsumption_resolution,[],[f738,f1136]) ).

fof(f1259,plain,
    ( ~ spl42_33
    | spl42_75
    | ~ spl42_99
    | spl42_151 ),
    inference(avatar_contradiction_clause,[],[f1258]) ).

fof(f1258,plain,
    ( $false
    | ~ spl42_33
    | spl42_75
    | ~ spl42_99
    | spl42_151 ),
    inference(subsumption_resolution,[],[f1255,f585]) ).

fof(f585,plain,
    ( ~ c2_1(a1187)
    | spl42_75 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f583,plain,
    ( spl42_75
  <=> c2_1(a1187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_75])]) ).

fof(f1255,plain,
    ( c2_1(a1187)
    | ~ spl42_33
    | ~ spl42_99
    | spl42_151 ),
    inference(resolution,[],[f1209,f972]) ).

fof(f972,plain,
    ( ~ c3_1(a1187)
    | spl42_151 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f970,plain,
    ( spl42_151
  <=> c3_1(a1187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_151])]) ).

fof(f1209,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl42_33
    | ~ spl42_99 ),
    inference(subsumption_resolution,[],[f700,f402]) ).

fof(f1257,plain,
    ( ~ spl42_33
    | spl42_94
    | ~ spl42_99
    | spl42_148 ),
    inference(avatar_contradiction_clause,[],[f1256]) ).

fof(f1256,plain,
    ( $false
    | ~ spl42_33
    | spl42_94
    | ~ spl42_99
    | spl42_148 ),
    inference(subsumption_resolution,[],[f1253,f677]) ).

fof(f1253,plain,
    ( c2_1(a1169)
    | ~ spl42_33
    | ~ spl42_99
    | spl42_148 ),
    inference(resolution,[],[f1209,f954]) ).

fof(f1194,plain,
    ( ~ spl42_188
    | ~ spl42_54 ),
    inference(avatar_split_clause,[],[f105,f491,f1191]) ).

fof(f491,plain,
    ( spl42_54
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_54])]) ).

fof(f105,axiom,
    ( ~ hskp11
    | ~ c2_1(a1186) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f1189,plain,
    ( ~ spl42_15
    | spl42_187 ),
    inference(avatar_split_clause,[],[f56,f1186,f322]) ).

fof(f322,plain,
    ( spl42_15
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_15])]) ).

fof(f56,axiom,
    ( c3_1(a1204)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f1184,plain,
    ( spl42_32
    | spl42_114
    | spl42_73
    | ~ spl42_10 ),
    inference(avatar_split_clause,[],[f126,f300,f573,f773,f397]) ).

fof(f397,plain,
    ( spl42_32
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_32])]) ).

fof(f773,plain,
    ( spl42_114
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_114])]) ).

fof(f300,plain,
    ( spl42_10
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_10])]) ).

fof(f126,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c3_1(X0)
      | hskp15
      | hskp14
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f1182,plain,
    ( ~ spl42_22
    | ~ spl42_186 ),
    inference(avatar_split_clause,[],[f95,f1179,f352]) ).

fof(f352,plain,
    ( spl42_22
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_22])]) ).

fof(f95,axiom,
    ( ~ c3_1(a1199)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f1177,plain,
    ( ~ spl42_109
    | spl42_185 ),
    inference(avatar_split_clause,[],[f39,f1174,f747]) ).

fof(f747,plain,
    ( spl42_109
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_109])]) ).

fof(f39,axiom,
    ( c3_1(a1236)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f1171,plain,
    ( spl42_152
    | spl42_59 ),
    inference(avatar_split_clause,[],[f205,f514,f977]) ).

fof(f977,plain,
    ( spl42_152
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_152])]) ).

fof(f205,plain,
    ! [X2] :
      ( c1_1(X2)
      | ~ c3_1(X2)
      | ~ c0_1(X2)
      | sP14 ),
    inference(cnf_transformation,[],[f205_D]) ).

fof(f205_D,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) )
  <=> ~ sP14 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f1170,plain,
    ( spl42_35
    | ~ spl42_70
    | ~ spl42_10
    | spl42_73 ),
    inference(avatar_split_clause,[],[f258,f573,f300,f561,f409]) ).

fof(f409,plain,
    ( spl42_35
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_35])]) ).

fof(f561,plain,
    ( spl42_70
  <=> sP40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_70])]) ).

fof(f258,plain,
    ! [X1] :
      ( c3_1(X1)
      | ~ ndr1_0
      | ~ sP40
      | c2_1(X1)
      | hskp26
      | c1_1(X1) ),
    inference(general_splitting,[],[f148,f257_D]) ).

fof(f257,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | sP40 ),
    inference(cnf_transformation,[],[f257_D]) ).

fof(f257_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP40 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP40])]) ).

fof(f148,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | hskp26
      | c3_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f1168,plain,
    ( ~ spl42_184
    | ~ spl42_16 ),
    inference(avatar_split_clause,[],[f84,f326,f1165]) ).

fof(f326,plain,
    ( spl42_16
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).

fof(f84,axiom,
    ( ~ hskp23
    | ~ c1_1(a1218) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f1163,plain,
    ( ~ spl42_183
    | ~ spl42_27 ),
    inference(avatar_split_clause,[],[f114,f374,f1160]) ).

fof(f374,plain,
    ( spl42_27
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).

fof(f114,axiom,
    ( ~ hskp7
    | ~ c2_1(a1179) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f1158,plain,
    ( spl42_109
    | spl42_43 ),
    inference(avatar_split_clause,[],[f1,f445,f747]) ).

fof(f445,plain,
    ( spl42_43
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_43])]) ).

fof(f1,axiom,
    ( hskp8
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f1157,plain,
    ( ~ spl42_182
    | ~ spl42_32 ),
    inference(avatar_split_clause,[],[f98,f397,f1154]) ).

fof(f98,axiom,
    ( ~ hskp14
    | ~ c0_1(a1194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f1152,plain,
    ( ~ spl42_19
    | spl42_181 ),
    inference(avatar_split_clause,[],[f50,f1149,f338]) ).

fof(f338,plain,
    ( spl42_19
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_19])]) ).

fof(f50,axiom,
    ( c0_1(a1211)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f1147,plain,
    ( spl42_177
    | spl42_26 ),
    inference(avatar_split_clause,[],[f219,f370,f1123]) ).

fof(f1123,plain,
    ( spl42_177
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).

fof(f219,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | sP21
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f219_D]) ).

fof(f219_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP21 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

fof(f1145,plain,
    ( ~ spl42_180
    | ~ spl42_22 ),
    inference(avatar_split_clause,[],[f94,f352,f1142]) ).

fof(f94,axiom,
    ( ~ hskp16
    | ~ c0_1(a1199) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f1140,plain,
    ( ~ spl42_109
    | spl42_10 ),
    inference(avatar_split_clause,[],[f2,f300,f747]) ).

fof(f2,axiom,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f1139,plain,
    ( spl42_27
    | ~ spl42_10
    | ~ spl42_5
    | spl42_179 ),
    inference(avatar_split_clause,[],[f218,f1135,f279,f300,f374]) ).

fof(f279,plain,
    ( spl42_5
  <=> sP20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).

fof(f218,plain,
    ! [X1] :
      ( ~ c1_1(X1)
      | ~ sP20
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | hskp7 ),
    inference(general_splitting,[],[f152,f217_D]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | sP20
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f217_D]) ).

fof(f217_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
  <=> ~ sP20 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f152,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | hskp7
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f1138,plain,
    ( ~ spl42_10
    | spl42_54
    | spl42_63
    | spl42_114 ),
    inference(avatar_split_clause,[],[f141,f773,f530,f491,f300]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp15
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp11
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f1137,plain,
    ( ~ spl42_10
    | ~ spl42_174
    | spl42_43
    | spl42_179 ),
    inference(avatar_split_clause,[],[f248,f1135,f445,f1106,f300]) ).

fof(f1106,plain,
    ( spl42_174
  <=> sP35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).

fof(f248,plain,
    ! [X1] :
      ( c2_1(X1)
      | hskp8
      | c0_1(X1)
      | ~ sP35
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f155,f247_D]) ).

fof(f247,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | sP35
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f247_D]) ).

fof(f247_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP35 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | hskp8
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f1133,plain,
    ( ~ spl42_123
    | spl42_1
    | ~ spl42_10
    | spl42_91 ),
    inference(avatar_split_clause,[],[f186,f659,f300,f262,f823]) ).

fof(f823,plain,
    ( spl42_123
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_123])]) ).

fof(f262,plain,
    ( spl42_1
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).

fof(f186,plain,
    ! [X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | hskp0
      | ~ sP4
      | c3_1(X1) ),
    inference(general_splitting,[],[f145,f185_D]) ).

fof(f185,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | sP4
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f185_D]) ).

fof(f185_D,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f145,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | hskp0
      | ~ ndr1_0
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f1132,plain,
    ( ~ spl42_10
    | ~ spl42_3
    | spl42_66
    | ~ spl42_102 ),
    inference(avatar_split_clause,[],[f198,f713,f543,f271,f300]) ).

fof(f271,plain,
    ( spl42_3
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).

fof(f713,plain,
    ( spl42_102
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).

fof(f198,plain,
    ! [X1] :
      ( ~ sP9
      | ~ c2_1(X1)
      | ~ sP10
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X1) ),
    inference(general_splitting,[],[f196,f197_D]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | sP10 ),
    inference(cnf_transformation,[],[f197_D]) ).

fof(f197_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP10 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ sP9 ),
    inference(general_splitting,[],[f169,f195_D]) ).

fof(f195,plain,
    ! [X2] :
      ( c3_1(X2)
      | c0_1(X2)
      | c1_1(X2)
      | sP9 ),
    inference(cnf_transformation,[],[f195_D]) ).

fof(f195_D,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f169,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f1131,plain,
    ( spl42_178
    | ~ spl42_32 ),
    inference(avatar_split_clause,[],[f62,f397,f1128]) ).

fof(f62,axiom,
    ( ~ hskp14
    | c2_1(a1194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f1126,plain,
    ( spl42_21
    | spl42_83
    | ~ spl42_177
    | ~ spl42_10 ),
    inference(avatar_split_clause,[],[f220,f300,f1123,f621,f348]) ).

fof(f348,plain,
    ( spl42_21
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).

fof(f220,plain,
    ! [X1] :
      ( ~ ndr1_0
      | ~ sP21
      | ~ c3_1(X1)
      | hskp1
      | c2_1(X1)
      | c0_1(X1) ),
    inference(general_splitting,[],[f156,f219_D]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | hskp1
      | c0_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f1121,plain,
    ( ~ spl42_10
    | spl42_6
    | ~ spl42_175 ),
    inference(avatar_split_clause,[],[f204,f1111,f283,f300]) ).

fof(f1111,plain,
    ( spl42_175
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).

fof(f204,plain,
    ! [X1] :
      ( ~ sP13
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c2_1(X1)
      | c1_1(X1) ),
    inference(general_splitting,[],[f161,f203_D]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | sP13
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f203_D]) ).

fof(f203_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP13 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f1119,plain,
    ( ~ spl42_1
    | ~ spl42_176 ),
    inference(avatar_split_clause,[],[f123,f1116,f262]) ).

fof(f123,axiom,
    ( ~ c2_1(a1168)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f1114,plain,
    ( spl42_175
    | spl42_46 ),
    inference(avatar_split_clause,[],[f203,f458,f1111]) ).

fof(f1109,plain,
    ( spl42_174
    | spl42_63 ),
    inference(avatar_split_clause,[],[f247,f530,f1106]) ).

fof(f1104,plain,
    ( ~ spl42_120
    | ~ spl42_10
    | spl42_59
    | ~ spl42_165 ),
    inference(avatar_split_clause,[],[f252,f1050,f514,f300,f807]) ).

fof(f807,plain,
    ( spl42_120
  <=> sP36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_120])]) ).

fof(f1050,plain,
    ( spl42_165
  <=> sP37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_165])]) ).

fof(f252,plain,
    ! [X1] :
      ( ~ sP37
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ sP36
      | c1_1(X1) ),
    inference(general_splitting,[],[f250,f251_D]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | sP37 ),
    inference(cnf_transformation,[],[f251_D]) ).

fof(f251_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP37 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ sP36 ),
    inference(general_splitting,[],[f173,f249_D]) ).

fof(f249,plain,
    ! [X2] :
      ( ~ c0_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | sP36 ),
    inference(cnf_transformation,[],[f249_D]) ).

fof(f249_D,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
  <=> ~ sP36 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f1103,plain,
    ( spl42_84
    | spl42_56 ),
    inference(avatar_split_clause,[],[f233,f501,f625]) ).

fof(f625,plain,
    ( spl42_84
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | sP28 ),
    inference(cnf_transformation,[],[f233_D]) ).

fof(f233_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f1102,plain,
    ( ~ spl42_173
    | ~ spl42_41 ),
    inference(avatar_split_clause,[],[f100,f435,f1099]) ).

fof(f435,plain,
    ( spl42_41
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_41])]) ).

fof(f100,axiom,
    ( ~ hskp13
    | ~ c0_1(a1192) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f1096,plain,
    ( ~ spl42_22
    | spl42_172 ),
    inference(avatar_split_clause,[],[f60,f1093,f352]) ).

fof(f60,axiom,
    ( c2_1(a1199)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f1091,plain,
    ( ~ spl42_86
    | ~ spl42_171 ),
    inference(avatar_split_clause,[],[f120,f1088,f636]) ).

fof(f636,plain,
    ( spl42_86
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).

fof(f120,axiom,
    ( ~ c0_1(a1172)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f1086,plain,
    ( spl42_170
    | ~ spl42_54 ),
    inference(avatar_split_clause,[],[f64,f491,f1083]) ).

fof(f64,axiom,
    ( ~ hskp11
    | c0_1(a1186) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f1081,plain,
    ( ~ spl42_21
    | spl42_169 ),
    inference(avatar_split_clause,[],[f78,f1078,f348]) ).

fof(f78,axiom,
    ( c1_1(a1169)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f1075,plain,
    ( ~ spl42_10
    | ~ spl42_97
    | spl42_23
    | spl42_78 ),
    inference(avatar_split_clause,[],[f182,f598,f356,f689,f300]) ).

fof(f689,plain,
    ( spl42_97
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_97])]) ).

fof(f356,plain,
    ( spl42_23
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_23])]) ).

fof(f182,plain,
    ! [X1] :
      ( ~ c0_1(X1)
      | hskp17
      | ~ sP2
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1) ),
    inference(general_splitting,[],[f163,f181_D]) ).

fof(f181,plain,
    ! [X0] :
      ( sP2
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181_D]) ).

fof(f181_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c0_1(X1)
      | c3_1(X0)
      | hskp17
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f1073,plain,
    ( spl42_10
    | ~ spl42_43 ),
    inference(avatar_split_clause,[],[f22,f445,f300]) ).

fof(f22,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f1066,plain,
    ( ~ spl42_10
    | ~ spl42_159
    | spl42_83
    | ~ spl42_42 ),
    inference(avatar_split_clause,[],[f202,f440,f621,f1016,f300]) ).

fof(f1016,plain,
    ( spl42_159
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).

fof(f440,plain,
    ( spl42_42
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_42])]) ).

fof(f202,plain,
    ! [X1] :
      ( ~ sP12
      | c0_1(X1)
      | c2_1(X1)
      | ~ sP11
      | ~ c3_1(X1)
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f200,f201_D]) ).

fof(f201,plain,
    ! [X0] :
      ( c3_1(X0)
      | sP12
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f201_D]) ).

fof(f201_D,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP12 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ sP11 ),
    inference(general_splitting,[],[f168,f199_D]) ).

fof(f199,plain,
    ! [X2] :
      ( sP11
      | c1_1(X2)
      | c2_1(X2)
      | c0_1(X2) ),
    inference(cnf_transformation,[],[f199_D]) ).

fof(f199_D,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f168,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X2)
      | c0_1(X2)
      | c1_1(X2)
      | ~ c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f1064,plain,
    ( ~ spl42_67
    | ~ spl42_167 ),
    inference(avatar_split_clause,[],[f117,f1061,f547]) ).

fof(f547,plain,
    ( spl42_67
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).

fof(f117,axiom,
    ( ~ c3_1(a1176)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f1059,plain,
    ( spl42_166
    | ~ spl42_35 ),
    inference(avatar_split_clause,[],[f43,f409,f1056]) ).

fof(f43,axiom,
    ( ~ hskp26
    | c0_1(a1190) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f1053,plain,
    ( spl42_165
    | spl42_106 ),
    inference(avatar_split_clause,[],[f251,f733,f1050]) ).

fof(f1048,plain,
    ( ~ spl42_74
    | spl42_164 ),
    inference(avatar_split_clause,[],[f75,f1045,f578]) ).

fof(f578,plain,
    ( spl42_74
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).

fof(f75,axiom,
    ( c1_1(a1174)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f1043,plain,
    ( ~ spl42_98
    | ~ spl42_163 ),
    inference(avatar_split_clause,[],[f116,f1040,f695]) ).

fof(f695,plain,
    ( spl42_98
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).

fof(f116,axiom,
    ( ~ c3_1(a1178)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f1038,plain,
    ( spl42_153
    | spl42_99 ),
    inference(avatar_split_clause,[],[f253,f699,f982]) ).

fof(f982,plain,
    ( spl42_153
  <=> sP38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).

fof(f253,plain,
    ! [X2] :
      ( c0_1(X2)
      | c3_1(X2)
      | c2_1(X2)
      | sP38 ),
    inference(cnf_transformation,[],[f253_D]) ).

fof(f253_D,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
  <=> ~ sP38 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).

fof(f1036,plain,
    ( ~ spl42_10
    | ~ spl42_36
    | spl42_106
    | spl42_39 ),
    inference(avatar_split_clause,[],[f210,f426,f733,f414,f300]) ).

fof(f414,plain,
    ( spl42_36
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_36])]) ).

fof(f426,plain,
    ( spl42_39
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_39])]) ).

fof(f210,plain,
    ! [X1] :
      ( hskp25
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ sP16
      | ~ ndr1_0 ),
    inference(general_splitting,[],[f167,f209_D]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | sP16
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f209_D]) ).

fof(f209_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP16 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp25
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f1035,plain,
    ( ~ spl42_1
    | spl42_162 ),
    inference(avatar_split_clause,[],[f80,f1032,f262]) ).

fof(f80,axiom,
    ( c1_1(a1168)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f1019,plain,
    ( spl42_107
    | spl42_159 ),
    inference(avatar_split_clause,[],[f199,f1016,f737]) ).

fof(f1012,plain,
    ( spl42_158
    | ~ spl42_86 ),
    inference(avatar_split_clause,[],[f77,f636,f1009]) ).

fof(f77,axiom,
    ( ~ hskp2
    | c3_1(a1172) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f1001,plain,
    ( ~ spl42_10
    | ~ spl42_130
    | ~ spl42_65
    | spl42_33 ),
    inference(avatar_split_clause,[],[f238,f401,f539,f857,f300]) ).

fof(f857,plain,
    ( spl42_130
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_130])]) ).

fof(f539,plain,
    ( spl42_65
  <=> sP29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_65])]) ).

fof(f238,plain,
    ! [X1] :
      ( c3_1(X1)
      | ~ sP29
      | ~ sP30
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1) ),
    inference(general_splitting,[],[f236,f237_D]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ c1_1(X0)
      | sP30
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f237_D]) ).

fof(f237_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ sP29 ),
    inference(general_splitting,[],[f172,f235_D]) ).

fof(f235,plain,
    ! [X2] :
      ( c0_1(X2)
      | c3_1(X2)
      | ~ c2_1(X2)
      | sP29 ),
    inference(cnf_transformation,[],[f235_D]) ).

fof(f235_D,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) )
  <=> ~ sP29 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f172,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | ~ c2_1(X0)
      | c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f1000,plain,
    ( ~ spl42_23
    | spl42_156 ),
    inference(avatar_split_clause,[],[f59,f997,f356]) ).

fof(f59,axiom,
    ( c0_1(a1200)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f995,plain,
    ( ~ spl42_8
    | ~ spl42_155 ),
    inference(avatar_split_clause,[],[f87,f992,f291]) ).

fof(f291,plain,
    ( spl42_8
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).

fof(f87,axiom,
    ( ~ c1_1(a1207)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f985,plain,
    ( ~ spl42_153
    | spl42_78
    | ~ spl42_10
    | ~ spl42_58 ),
    inference(avatar_split_clause,[],[f256,f510,f300,f598,f982]) ).

fof(f510,plain,
    ( spl42_58
  <=> sP39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_58])]) ).

fof(f256,plain,
    ! [X1] :
      ( ~ sP39
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X1)
      | ~ sP38
      | ~ c0_1(X1) ),
    inference(general_splitting,[],[f254,f255_D]) ).

fof(f255,plain,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | sP39
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f255_D]) ).

fof(f255_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP39 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP39])]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ sP38 ),
    inference(general_splitting,[],[f171,f253_D]) ).

fof(f171,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X2)
      | ~ ndr1_0
      | c0_1(X2)
      | c1_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f980,plain,
    ( ~ spl42_10
    | ~ spl42_152
    | ~ spl42_124
    | spl42_17 ),
    inference(avatar_split_clause,[],[f208,f330,f828,f977,f300]) ).

fof(f828,plain,
    ( spl42_124
  <=> sP15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_124])]) ).

fof(f208,plain,
    ! [X1] :
      ( c3_1(X1)
      | ~ sP15
      | c2_1(X1)
      | ~ sP14
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    inference(general_splitting,[],[f206,f207_D]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | sP15 ),
    inference(cnf_transformation,[],[f207_D]) ).

fof(f207_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP15 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ sP14 ),
    inference(general_splitting,[],[f175,f205_D]) ).

fof(f175,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f973,plain,
    ( ~ spl42_25
    | ~ spl42_151 ),
    inference(avatar_split_clause,[],[f104,f970,f366]) ).

fof(f366,plain,
    ( spl42_25
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).

fof(f104,axiom,
    ( ~ c3_1(a1187)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f966,plain,
    ( spl42_19
    | ~ spl42_10
    | spl42_86
    | spl42_56 ),
    inference(avatar_split_clause,[],[f142,f501,f636,f300,f338]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp2
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f965,plain,
    ( spl42_150
    | ~ spl42_98 ),
    inference(avatar_split_clause,[],[f68,f695,f962]) ).

fof(f68,axiom,
    ( ~ hskp6
    | c1_1(a1178) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f960,plain,
    ( ~ spl42_149
    | ~ spl42_9 ),
    inference(avatar_split_clause,[],[f108,f296,f957]) ).

fof(f296,plain,
    ( spl42_9
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_9])]) ).

fof(f108,axiom,
    ( ~ hskp10
    | ~ c1_1(a1184) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f955,plain,
    ( ~ spl42_21
    | ~ spl42_148 ),
    inference(avatar_split_clause,[],[f122,f952,f348]) ).

fof(f122,axiom,
    ( ~ c3_1(a1169)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f950,plain,
    ( spl42_147
    | ~ spl42_67 ),
    inference(avatar_split_clause,[],[f70,f547,f947]) ).

fof(f70,axiom,
    ( ~ hskp5
    | c0_1(a1176) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f945,plain,
    ( ~ spl42_146
    | ~ spl42_16 ),
    inference(avatar_split_clause,[],[f85,f326,f942]) ).

fof(f85,axiom,
    ( ~ hskp23
    | ~ c3_1(a1218) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f934,plain,
    ( ~ spl42_144
    | ~ spl42_23 ),
    inference(avatar_split_clause,[],[f93,f356,f931]) ).

fof(f93,axiom,
    ( ~ hskp17
    | ~ c2_1(a1200) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f928,plain,
    ( ~ spl42_143
    | ~ spl42_23 ),
    inference(avatar_split_clause,[],[f92,f356,f925]) ).

fof(f92,axiom,
    ( ~ hskp17
    | ~ c1_1(a1200) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f923,plain,
    ( ~ spl42_10
    | spl42_1
    | spl42_6 ),
    inference(avatar_split_clause,[],[f127,f283,f262,f300]) ).

fof(f127,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp0
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f922,plain,
    ( spl42_142
    | ~ spl42_98 ),
    inference(avatar_split_clause,[],[f69,f695,f919]) ).

fof(f69,axiom,
    ( ~ hskp6
    | c2_1(a1178) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f907,plain,
    ( spl42_111
    | spl42_78 ),
    inference(avatar_split_clause,[],[f231,f598,f757]) ).

fof(f757,plain,
    ( spl42_111
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_111])]) ).

fof(f231,plain,
    ! [X0] :
      ( c1_1(X0)
      | sP27
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f231_D]) ).

fof(f231_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f906,plain,
    ( ~ spl42_39
    | spl42_139 ),
    inference(avatar_split_clause,[],[f47,f903,f426]) ).

fof(f47,axiom,
    ( c2_1(a1182)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f896,plain,
    ( ~ spl42_137
    | ~ spl42_41 ),
    inference(avatar_split_clause,[],[f101,f435,f893]) ).

fof(f101,axiom,
    ( ~ hskp13
    | ~ c2_1(a1192) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f891,plain,
    ( ~ spl42_136
    | ~ spl42_114 ),
    inference(avatar_split_clause,[],[f97,f773,f888]) ).

fof(f97,axiom,
    ( ~ hskp15
    | ~ c3_1(a1195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f876,plain,
    ( ~ spl42_16
    | ~ spl42_133 ),
    inference(avatar_split_clause,[],[f83,f873,f326]) ).

fof(f83,axiom,
    ( ~ c0_1(a1218)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f871,plain,
    ( ~ spl42_10
    | spl42_74
    | spl42_132
    | ~ spl42_116 ),
    inference(avatar_split_clause,[],[f224,f785,f869,f578,f300]) ).

fof(f785,plain,
    ( spl42_116
  <=> sP23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_116])]) ).

fof(f224,plain,
    ! [X1] :
      ( ~ sP23
      | c3_1(X1)
      | c0_1(X1)
      | hskp3
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    inference(general_splitting,[],[f158,f223_D]) ).

fof(f223,plain,
    ! [X0] :
      ( c2_1(X0)
      | ~ c1_1(X0)
      | sP23
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f223_D]) ).

fof(f223_D,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP23 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | hskp3
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f861,plain,
    ( spl42_91
    | spl42_74
    | ~ spl42_10
    | spl42_1 ),
    inference(avatar_split_clause,[],[f124,f262,f300,f578,f659]) ).

fof(f124,axiom,
    ! [X0] :
      ( hskp0
      | ~ ndr1_0
      | hskp3
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f860,plain,
    ( spl42_130
    | spl42_125 ),
    inference(avatar_split_clause,[],[f237,f832,f857]) ).

fof(f850,plain,
    ( ~ spl42_74
    | ~ spl42_128 ),
    inference(avatar_split_clause,[],[f119,f847,f578]) ).

fof(f119,axiom,
    ( ~ c3_1(a1174)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f845,plain,
    ( ~ spl42_114
    | spl42_127 ),
    inference(avatar_split_clause,[],[f61,f842,f773]) ).

fof(f61,axiom,
    ( c2_1(a1195)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f840,plain,
    ( ~ spl42_126
    | ~ spl42_43 ),
    inference(avatar_split_clause,[],[f111,f445,f837]) ).

fof(f111,axiom,
    ( ~ hskp8
    | ~ c0_1(a1180) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f835,plain,
    ( spl42_62
    | spl42_95 ),
    inference(avatar_split_clause,[],[f243,f680,f526]) ).

fof(f526,plain,
    ( spl42_62
  <=> sP33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_62])]) ).

fof(f243,plain,
    ! [X2] :
      ( ~ c3_1(X2)
      | sP33
      | ~ c1_1(X2)
      | c0_1(X2) ),
    inference(cnf_transformation,[],[f243_D]) ).

fof(f243_D,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
  <=> ~ sP33 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f834,plain,
    ( spl42_124
    | spl42_125 ),
    inference(avatar_split_clause,[],[f207,f832,f828]) ).

fof(f826,plain,
    ( spl42_123
    | spl42_49 ),
    inference(avatar_split_clause,[],[f185,f470,f823]) ).

fof(f811,plain,
    ( spl42_8
    | spl42_43
    | spl42_15 ),
    inference(avatar_split_clause,[],[f36,f322,f445,f291]) ).

fof(f36,axiom,
    ( hskp19
    | hskp8
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f810,plain,
    ( spl42_120
    | spl42_6 ),
    inference(avatar_split_clause,[],[f249,f283,f807]) ).

fof(f805,plain,
    ( ~ spl42_9
    | ~ spl42_119 ),
    inference(avatar_split_clause,[],[f109,f802,f296]) ).

fof(f109,axiom,
    ( ~ c2_1(a1184)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f799,plain,
    ( ~ spl42_19
    | ~ spl42_118 ),
    inference(avatar_split_clause,[],[f86,f796,f338]) ).

fof(f86,axiom,
    ( ~ c1_1(a1211)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f794,plain,
    ( ~ spl42_10
    | spl42_33
    | spl42_19
    | spl42_23 ),
    inference(avatar_split_clause,[],[f130,f356,f338,f401,f300]) ).

fof(f130,axiom,
    ! [X0] :
      ( hskp17
      | hskp22
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f788,plain,
    ( spl42_116
    | spl42_80 ),
    inference(avatar_split_clause,[],[f223,f606,f785]) ).

fof(f783,plain,
    ( spl42_21
    | ~ spl42_10
    | spl42_107
    | ~ spl42_51 ),
    inference(avatar_split_clause,[],[f240,f477,f737,f300,f348]) ).

fof(f477,plain,
    ( spl42_51
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_51])]) ).

fof(f240,plain,
    ! [X1] :
      ( ~ sP31
      | c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | hskp1 ),
    inference(general_splitting,[],[f149,f239_D]) ).

fof(f239,plain,
    ! [X0] :
      ( sP31
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f239_D]) ).

fof(f239_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f149,axiom,
    ! [X0,X1] :
      ( hskp1
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f776,plain,
    ( ~ spl42_113
    | ~ spl42_114 ),
    inference(avatar_split_clause,[],[f96,f773,f769]) ).

fof(f96,axiom,
    ( ~ hskp15
    | ~ c1_1(a1195) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f767,plain,
    ( ~ spl42_15
    | ~ spl42_112 ),
    inference(avatar_split_clause,[],[f90,f764,f322]) ).

fof(f90,axiom,
    ( ~ c2_1(a1204)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f760,plain,
    ( ~ spl42_111
    | ~ spl42_10
    | spl42_95
    | spl42_25 ),
    inference(avatar_split_clause,[],[f232,f366,f680,f300,f757]) ).

fof(f232,plain,
    ! [X1] :
      ( hskp12
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ sP27 ),
    inference(general_splitting,[],[f164,f231_D]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | hskp12
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f755,plain,
    ( spl42_21
    | spl42_32
    | spl42_1 ),
    inference(avatar_split_clause,[],[f32,f262,f397,f348]) ).

fof(f32,axiom,
    ( hskp0
    | hskp14
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f754,plain,
    ( ~ spl42_109
    | spl42_110 ),
    inference(avatar_split_clause,[],[f38,f751,f747]) ).

fof(f38,axiom,
    ( c2_1(a1236)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f745,plain,
    ( spl42_19
    | ~ spl42_10
    | spl42_32
    | spl42_63 ),
    inference(avatar_split_clause,[],[f140,f530,f397,f300,f338]) ).

fof(f140,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f739,plain,
    ( spl42_1
    | spl42_107
    | ~ spl42_10
    | ~ spl42_93 ),
    inference(avatar_split_clause,[],[f184,f670,f300,f737,f262]) ).

fof(f670,plain,
    ( spl42_93
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).

fof(f184,plain,
    ! [X1] :
      ( ~ sP3
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    inference(general_splitting,[],[f144,f183_D]) ).

fof(f183,plain,
    ! [X0] :
      ( sP3
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(cnf_transformation,[],[f183_D]) ).

fof(f183_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f144,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp0
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f727,plain,
    ( ~ spl42_27
    | ~ spl42_104 ),
    inference(avatar_split_clause,[],[f113,f724,f374]) ).

fof(f113,axiom,
    ( ~ c1_1(a1179)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f717,plain,
    ( spl42_86
    | spl42_41
    | spl42_23 ),
    inference(avatar_split_clause,[],[f33,f356,f435,f636]) ).

fof(f33,axiom,
    ( hskp17
    | hskp13
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f716,plain,
    ( spl42_102
    | spl42_91 ),
    inference(avatar_split_clause,[],[f195,f659,f713]) ).

fof(f701,plain,
    ( ~ spl42_10
    | spl42_98
    | spl42_74
    | spl42_99 ),
    inference(avatar_split_clause,[],[f125,f699,f578,f695,f300]) ).

fof(f125,axiom,
    ! [X0] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | hskp3
      | hskp6
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f692,plain,
    ( spl42_33
    | spl42_97 ),
    inference(avatar_split_clause,[],[f181,f689,f401]) ).

fof(f687,plain,
    ( spl42_96
    | ~ spl42_86 ),
    inference(avatar_split_clause,[],[f76,f636,f684]) ).

fof(f76,axiom,
    ( ~ hskp2
    | c2_1(a1172) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f678,plain,
    ( ~ spl42_21
    | ~ spl42_94 ),
    inference(avatar_split_clause,[],[f121,f675,f348]) ).

fof(f121,axiom,
    ( ~ c2_1(a1169)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f673,plain,
    ( spl42_40
    | spl42_93 ),
    inference(avatar_split_clause,[],[f183,f670,f431]) ).

fof(f667,plain,
    ( ~ spl42_92
    | ~ spl42_32 ),
    inference(avatar_split_clause,[],[f99,f397,f664]) ).

fof(f99,axiom,
    ( ~ hskp14
    | ~ c1_1(a1194) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f662,plain,
    ( spl42_49
    | spl42_72 ),
    inference(avatar_split_clause,[],[f221,f569,f470]) ).

fof(f569,plain,
    ( spl42_72
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).

fof(f221,plain,
    ! [X0] :
      ( sP22
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(cnf_transformation,[],[f221_D]) ).

fof(f221_D,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
  <=> ~ sP22 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f661,plain,
    ( ~ spl42_10
    | spl42_91
    | spl42_86
    | ~ spl42_60 ),
    inference(avatar_split_clause,[],[f180,f518,f636,f659,f300]) ).

fof(f518,plain,
    ( spl42_60
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_60])]) ).

fof(f180,plain,
    ! [X1] :
      ( ~ sP1
      | hskp2
      | c0_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | c1_1(X1) ),
    inference(general_splitting,[],[f146,f179_D]) ).

fof(f179,plain,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | sP1 ),
    inference(cnf_transformation,[],[f179_D]) ).

fof(f179_D,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f146,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp2
      | c3_1(X0)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f657,plain,
    ( ~ spl42_54
    | ~ spl42_90 ),
    inference(avatar_split_clause,[],[f106,f654,f491]) ).

fof(f106,axiom,
    ( ~ c3_1(a1186)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f643,plain,
    ( ~ spl42_64
    | ~ spl42_69
    | ~ spl42_10
    | spl42_87 ),
    inference(avatar_split_clause,[],[f190,f641,f300,f556,f534]) ).

fof(f534,plain,
    ( spl42_64
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).

fof(f556,plain,
    ( spl42_69
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_69])]) ).

fof(f190,plain,
    ! [X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ sP5
      | ~ sP6 ),
    inference(general_splitting,[],[f188,f189_D]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | sP6 ),
    inference(cnf_transformation,[],[f189_D]) ).

fof(f189_D,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP6 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ sP5 ),
    inference(general_splitting,[],[f170,f187_D]) ).

fof(f187,plain,
    ! [X2] :
      ( sP5
      | c1_1(X2)
      | c0_1(X2)
      | ~ c2_1(X2) ),
    inference(cnf_transformation,[],[f187_D]) ).

fof(f187_D,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f170,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f634,plain,
    ( spl42_85
    | ~ spl42_74 ),
    inference(avatar_split_clause,[],[f74,f578,f631]) ).

fof(f74,axiom,
    ( ~ hskp3
    | c0_1(a1174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f628,plain,
    ( ~ spl42_84
    | spl42_73
    | spl42_74
    | ~ spl42_10 ),
    inference(avatar_split_clause,[],[f234,f300,f578,f573,f625]) ).

fof(f234,plain,
    ! [X1] :
      ( ~ ndr1_0
      | hskp3
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ sP28 ),
    inference(general_splitting,[],[f160,f233_D]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f623,plain,
    ( spl42_9
    | spl42_83
    | ~ spl42_10
    | ~ spl42_57 ),
    inference(avatar_split_clause,[],[f226,f505,f300,f621,f296]) ).

fof(f505,plain,
    ( spl42_57
  <=> sP24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_57])]) ).

fof(f226,plain,
    ! [X1] :
      ( ~ sP24
      | ~ ndr1_0
      | ~ c3_1(X1)
      | hskp10
      | c2_1(X1)
      | c0_1(X1) ),
    inference(general_splitting,[],[f157,f225_D]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | sP24
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f225_D]) ).

fof(f225_D,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
  <=> ~ sP24 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | hskp10
      | ~ ndr1_0
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f619,plain,
    ( spl42_82
    | ~ spl42_35 ),
    inference(avatar_split_clause,[],[f44,f409,f616]) ).

fof(f44,axiom,
    ( ~ hskp26
    | c1_1(a1190) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f614,plain,
    ( spl42_81
    | ~ spl42_8 ),
    inference(avatar_split_clause,[],[f52,f291,f611]) ).

fof(f52,axiom,
    ( ~ hskp21
    | c2_1(a1207) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f592,plain,
    ( spl42_15
    | ~ spl42_10
    | spl42_59
    | spl42_41 ),
    inference(avatar_split_clause,[],[f136,f435,f514,f300,f322]) ).

fof(f136,axiom,
    ! [X0] :
      ( hskp13
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp19
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f586,plain,
    ( ~ spl42_25
    | ~ spl42_75 ),
    inference(avatar_split_clause,[],[f103,f583,f366]) ).

fof(f103,axiom,
    ( ~ c2_1(a1187)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f575,plain,
    ( ~ spl42_72
    | ~ spl42_10
    | spl42_73
    | spl42_67 ),
    inference(avatar_split_clause,[],[f222,f547,f573,f300,f569]) ).

fof(f222,plain,
    ! [X1] :
      ( hskp5
      | c2_1(X1)
      | ~ ndr1_0
      | ~ sP22
      | c3_1(X1)
      | c1_1(X1) ),
    inference(general_splitting,[],[f147,f221_D]) ).

fof(f147,axiom,
    ! [X0,X1] :
      ( hskp5
      | c2_1(X1)
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f567,plain,
    ( spl42_70
    | spl42_71 ),
    inference(avatar_split_clause,[],[f257,f565,f561]) ).

fof(f559,plain,
    ( spl42_49
    | spl42_69 ),
    inference(avatar_split_clause,[],[f187,f556,f470]) ).

fof(f554,plain,
    ( ~ spl42_67
    | spl42_68 ),
    inference(avatar_split_clause,[],[f71,f551,f547]) ).

fof(f71,axiom,
    ( c2_1(a1176)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f545,plain,
    ( spl42_65
    | spl42_66 ),
    inference(avatar_split_clause,[],[f235,f543,f539]) ).

fof(f537,plain,
    ( spl42_64
    | spl42_11 ),
    inference(avatar_split_clause,[],[f189,f305,f534]) ).

fof(f532,plain,
    ( ~ spl42_62
    | ~ spl42_12
    | ~ spl42_10
    | spl42_63 ),
    inference(avatar_split_clause,[],[f246,f530,f300,f308,f526]) ).

fof(f308,plain,
    ( spl42_12
  <=> sP34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).

fof(f246,plain,
    ! [X1] :
      ( ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ sP34
      | c3_1(X1)
      | ~ sP33 ),
    inference(general_splitting,[],[f244,f245_D]) ).

fof(f245,plain,
    ! [X0] :
      ( sP34
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(cnf_transformation,[],[f245_D]) ).

fof(f245_D,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
  <=> ~ sP34 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ sP33 ),
    inference(general_splitting,[],[f174,f243_D]) ).

fof(f174,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | ~ c1_1(X2)
      | c3_1(X1)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f524,plain,
    ( spl42_60
    | spl42_61 ),
    inference(avatar_split_clause,[],[f179,f522,f518]) ).

fof(f516,plain,
    ( spl42_58
    | spl42_59 ),
    inference(avatar_split_clause,[],[f255,f514,f510]) ).

fof(f508,plain,
    ( spl42_57
    | spl42_37 ),
    inference(avatar_split_clause,[],[f225,f418,f505]) ).

fof(f503,plain,
    ( ~ spl42_10
    | spl42_41
    | spl42_56
    | spl42_9 ),
    inference(avatar_split_clause,[],[f143,f296,f501,f435,f300]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp13
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f499,plain,
    ( ~ spl42_43
    | spl42_55 ),
    inference(avatar_split_clause,[],[f67,f496,f445]) ).

fof(f67,axiom,
    ( c1_1(a1180)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f480,plain,
    ( spl42_50
    | spl42_51 ),
    inference(avatar_split_clause,[],[f239,f477,f474]) ).

fof(f452,plain,
    ( ~ spl42_43
    | ~ spl42_44 ),
    inference(avatar_split_clause,[],[f112,f449,f445]) ).

fof(f112,axiom,
    ( ~ c3_1(a1180)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f443,plain,
    ( spl42_42
    | spl42_11 ),
    inference(avatar_split_clause,[],[f201,f305,f440]) ).

fof(f429,plain,
    ( spl42_38
    | ~ spl42_39 ),
    inference(avatar_split_clause,[],[f48,f426,f422]) ).

fof(f48,axiom,
    ( ~ hskp25
    | c3_1(a1182) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f420,plain,
    ( spl42_36
    | spl42_37 ),
    inference(avatar_split_clause,[],[f209,f418,f414]) ).

fof(f412,plain,
    ( spl42_34
    | ~ spl42_35 ),
    inference(avatar_split_clause,[],[f45,f409,f405]) ).

fof(f45,axiom,
    ( ~ hskp26
    | c3_1(a1190) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f403,plain,
    ( ~ spl42_10
    | spl42_19
    | spl42_32
    | spl42_33 ),
    inference(avatar_split_clause,[],[f131,f401,f397,f338,f300]) ).

fof(f131,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp14
      | hskp22
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f381,plain,
    ( ~ spl42_27
    | ~ spl42_28 ),
    inference(avatar_split_clause,[],[f115,f378,f374]) ).

fof(f115,axiom,
    ( ~ c3_1(a1179)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f359,plain,
    ( spl42_21
    | spl42_22
    | spl42_23 ),
    inference(avatar_split_clause,[],[f34,f356,f352,f348]) ).

fof(f34,axiom,
    ( hskp17
    | hskp16
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f346,plain,
    ( ~ spl42_15
    | ~ spl42_20 ),
    inference(avatar_split_clause,[],[f89,f343,f322]) ).

fof(f89,axiom,
    ( ~ c1_1(a1204)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f341,plain,
    ( spl42_18
    | ~ spl42_19 ),
    inference(avatar_split_clause,[],[f51,f338,f334]) ).

fof(f51,axiom,
    ( ~ hskp22
    | c3_1(a1211) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f332,plain,
    ( spl42_15
    | ~ spl42_10
    | spl42_16
    | spl42_17 ),
    inference(avatar_split_clause,[],[f133,f330,f326,f300,f322]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp23
      | ~ ndr1_0
      | c3_1(X0)
      | hskp19
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f311,plain,
    ( spl42_11
    | spl42_12 ),
    inference(avatar_split_clause,[],[f245,f308,f305]) ).

fof(f294,plain,
    ( spl42_7
    | ~ spl42_8 ),
    inference(avatar_split_clause,[],[f53,f291,f287]) ).

fof(f53,axiom,
    ( ~ hskp21
    | c3_1(a1207) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f285,plain,
    ( spl42_5
    | spl42_6 ),
    inference(avatar_split_clause,[],[f217,f283,f279]) ).

fof(f277,plain,
    ( spl42_3
    | spl42_4 ),
    inference(avatar_split_clause,[],[f197,f275,f271]) ).

fof(f269,plain,
    ( ~ spl42_1
    | spl42_2 ),
    inference(avatar_split_clause,[],[f79,f266,f262]) ).

fof(f79,axiom,
    ( c0_1(a1168)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN461-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:54:26 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  % (24879)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.46  % (24887)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50  % (24877)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (24867)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (24890)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (24889)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52  % (24888)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52  % (24868)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (24870)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (24866)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52  % (24869)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (24871)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52  % (24880)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52  % (24875)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (24876)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (24878)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (24874)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (24874)Instruction limit reached!
% 0.18/0.53  % (24874)------------------------------
% 0.18/0.53  % (24874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (24874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (24874)Termination reason: Unknown
% 0.18/0.53  % (24874)Termination phase: Blocked clause elimination
% 0.18/0.53  
% 0.18/0.53  % (24874)Memory used [KB]: 1151
% 0.18/0.53  % (24874)Time elapsed: 0.002 s
% 0.18/0.53  % (24874)Instructions burned: 3 (million)
% 0.18/0.53  % (24874)------------------------------
% 0.18/0.53  % (24874)------------------------------
% 0.18/0.53  % (24872)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (24882)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (24893)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.53  % (24891)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (24881)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53  % (24894)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (24892)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (24895)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53  % (24873)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (24873)Instruction limit reached!
% 0.18/0.54  % (24873)------------------------------
% 0.18/0.54  % (24873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (24885)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (24883)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54  % (24884)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (24886)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54  Detected maximum model sizes of [29]
% 0.18/0.54  TRYING [1]
% 0.18/0.55  TRYING [2]
% 0.18/0.55  TRYING [3]
% 0.18/0.55  Detected maximum model sizes of [29]
% 0.18/0.55  TRYING [1]
% 0.18/0.55  TRYING [4]
% 0.18/0.55  TRYING [2]
% 0.18/0.55  Detected maximum model sizes of [29]
% 0.18/0.55  TRYING [3]
% 1.62/0.55  TRYING [4]
% 1.62/0.56  % (24873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56  % (24873)Termination reason: Unknown
% 1.62/0.56  % (24873)Termination phase: Saturation
% 1.62/0.56  
% 1.62/0.56  % (24873)Memory used [KB]: 6012
% 1.62/0.56  % (24873)Time elapsed: 0.150 s
% 1.62/0.56  % (24873)Instructions burned: 8 (million)
% 1.62/0.56  % (24873)------------------------------
% 1.62/0.56  % (24873)------------------------------
% 1.62/0.56  TRYING [1]
% 1.62/0.56  TRYING [2]
% 1.62/0.56  % (24887)First to succeed.
% 1.62/0.57  TRYING [3]
% 1.62/0.57  % (24867)Refutation not found, incomplete strategy% (24867)------------------------------
% 1.62/0.57  % (24867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (24867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57  % (24867)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.57  
% 1.62/0.57  % (24867)Memory used [KB]: 6140
% 1.62/0.57  % (24867)Time elapsed: 0.177 s
% 1.62/0.57  % (24867)Instructions burned: 22 (million)
% 1.62/0.57  % (24867)------------------------------
% 1.62/0.57  % (24867)------------------------------
% 1.62/0.57  TRYING [4]
% 1.79/0.58  % (24868)Instruction limit reached!
% 1.79/0.58  % (24868)------------------------------
% 1.79/0.58  % (24868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58  % (24868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58  % (24868)Termination reason: Unknown
% 1.79/0.58  % (24868)Termination phase: Saturation
% 1.79/0.58  
% 1.79/0.58  % (24868)Memory used [KB]: 1279
% 1.79/0.58  % (24868)Time elapsed: 0.189 s
% 1.79/0.58  % (24868)Instructions burned: 39 (million)
% 1.79/0.58  % (24868)------------------------------
% 1.79/0.58  % (24868)------------------------------
% 1.79/0.58  TRYING [5]
% 1.79/0.60  % (24871)Instruction limit reached!
% 1.79/0.60  % (24871)------------------------------
% 1.79/0.60  % (24871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (24871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (24871)Termination reason: Unknown
% 1.79/0.60  % (24871)Termination phase: Saturation
% 1.79/0.60  
% 1.79/0.60  % (24871)Memory used [KB]: 6908
% 1.79/0.60  % (24871)Time elapsed: 0.211 s
% 1.79/0.60  % (24871)Instructions burned: 48 (million)
% 1.79/0.60  % (24871)------------------------------
% 1.79/0.60  % (24871)------------------------------
% 1.79/0.60  % (24875)Instruction limit reached!
% 1.79/0.60  % (24875)------------------------------
% 1.79/0.60  % (24875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (24875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (24875)Termination reason: Unknown
% 1.79/0.60  % (24875)Termination phase: Saturation
% 1.79/0.60  
% 1.79/0.60  % (24875)Memory used [KB]: 1279
% 1.79/0.60  % (24875)Time elapsed: 0.208 s
% 1.79/0.60  % (24875)Instructions burned: 51 (million)
% 1.79/0.60  % (24875)------------------------------
% 1.79/0.60  % (24875)------------------------------
% 1.79/0.60  % (24870)Instruction limit reached!
% 1.79/0.60  % (24870)------------------------------
% 1.79/0.60  % (24870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (24870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (24870)Termination reason: Unknown
% 1.79/0.60  % (24870)Termination phase: Saturation
% 1.79/0.60  
% 1.79/0.60  % (24870)Memory used [KB]: 6780
% 1.79/0.60  % (24870)Time elapsed: 0.201 s
% 1.79/0.60  % (24870)Instructions burned: 51 (million)
% 1.79/0.60  % (24870)------------------------------
% 1.79/0.60  % (24870)------------------------------
% 1.79/0.60  TRYING [5]
% 1.79/0.60  % (24887)Refutation found. Thanks to Tanya!
% 1.79/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.79/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.61  % (24887)------------------------------
% 1.79/0.61  % (24887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61  % (24887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61  % (24887)Termination reason: Refutation
% 1.79/0.61  
% 1.79/0.61  % (24887)Memory used [KB]: 7803
% 1.79/0.61  % (24887)Time elapsed: 0.181 s
% 1.79/0.61  % (24887)Instructions burned: 86 (million)
% 1.79/0.61  % (24887)------------------------------
% 1.79/0.61  % (24887)------------------------------
% 1.79/0.61  % (24865)Success in time 0.259 s
%------------------------------------------------------------------------------