TSTP Solution File: SYN487-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN487-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:55 EDT 2024

% Result   : Unsatisfiable 0.17s 0.42s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  285
% Syntax   : Number of formulae    :  810 (   1 unt;   0 def)
%            Number of atoms       : 2731 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3394 (1473   ~;1771   |;   0   &)
%                                         ( 150 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  185 ( 184 usr; 181 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  162 ( 162   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4565,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f267,f272,f277,f282,f287,f292,f297,f302,f312,f317,f327,f337,f342,f392,f397,f407,f412,f417,f422,f427,f432,f437,f442,f447,f457,f467,f472,f477,f482,f487,f497,f502,f512,f542,f552,f557,f562,f572,f577,f582,f587,f592,f597,f602,f607,f612,f617,f622,f627,f637,f652,f657,f662,f667,f672,f677,f682,f687,f692,f697,f702,f707,f732,f737,f742,f747,f752,f757,f762,f767,f772,f777,f782,f787,f797,f812,f817,f822,f827,f832,f837,f842,f847,f850,f853,f854,f856,f862,f874,f878,f879,f880,f888,f896,f900,f901,f910,f911,f915,f919,f923,f932,f933,f937,f939,f941,f945,f950,f954,f958,f959,f960,f967,f968,f972,f973,f974,f976,f977,f981,f982,f983,f984,f985,f990,f994,f995,f1001,f1006,f1008,f1009,f1010,f1011,f1012,f1038,f1073,f1102,f1130,f1132,f1260,f1312,f1397,f1457,f1562,f1664,f1831,f1883,f1934,f1976,f2009,f2013,f2166,f2181,f2184,f2197,f2263,f2267,f2304,f2317,f2326,f2364,f2392,f2462,f2498,f2499,f2564,f2584,f2590,f2591,f2639,f2643,f2673,f2730,f2846,f2927,f2929,f2947,f3026,f3036,f3064,f3121,f3164,f3462,f3496,f3498,f3500,f3580,f3634,f3686,f3725,f3831,f3835,f3876,f3921,f3947,f4028,f4038,f4057,f4071,f4080,f4240,f4257,f4259,f4275,f4308,f4313,f4339,f4341,f4379,f4398,f4403,f4422,f4423,f4456,f4459,f4478,f4484,f4543,f4546,f4561]) ).

fof(f4561,plain,
    ( spl0_134
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f4560,f925,f868,f876]) ).

fof(f876,plain,
    ( spl0_134
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f868,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f925,plain,
    ( spl0_145
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f4560,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(duplicate_literal_removal,[],[f4549]) ).

fof(f4549,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_145 ),
    inference(resolution,[],[f869,f926]) ).

fof(f926,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f4546,plain,
    ( spl0_42
    | spl0_173
    | spl0_38
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f4499,f925,f389,f2397,f409]) ).

fof(f409,plain,
    ( spl0_42
  <=> c2_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2397,plain,
    ( spl0_173
  <=> c3_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f389,plain,
    ( spl0_38
  <=> c1_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f4499,plain,
    ( c3_1(a2294)
    | c2_1(a2294)
    | spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f926,f391]) ).

fof(f391,plain,
    ( ~ c1_1(a2294)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f4543,plain,
    ( ~ spl0_171
    | ~ spl0_94
    | ~ spl0_101
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f4542,f965,f704,f669,f2259]) ).

fof(f2259,plain,
    ( spl0_171
  <=> c0_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f669,plain,
    ( spl0_94
  <=> c1_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f704,plain,
    ( spl0_101
  <=> c3_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f965,plain,
    ( spl0_153
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f4542,plain,
    ( ~ c0_1(a2315)
    | ~ spl0_94
    | ~ spl0_101
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f4528,f671]) ).

fof(f671,plain,
    ( c1_1(a2315)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f4528,plain,
    ( ~ c1_1(a2315)
    | ~ c0_1(a2315)
    | ~ spl0_101
    | ~ spl0_153 ),
    inference(resolution,[],[f966,f706]) ).

fof(f706,plain,
    ( c3_1(a2315)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f4484,plain,
    ( ~ spl0_169
    | spl0_109
    | ~ spl0_115
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f4483,f904,f774,f744,f2234]) ).

fof(f2234,plain,
    ( spl0_169
  <=> c1_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f744,plain,
    ( spl0_109
  <=> c0_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f774,plain,
    ( spl0_115
  <=> c2_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f904,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f4483,plain,
    ( ~ c1_1(a2282)
    | spl0_109
    | ~ spl0_115
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f4473,f746]) ).

fof(f746,plain,
    ( ~ c0_1(a2282)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f4473,plain,
    ( c0_1(a2282)
    | ~ c1_1(a2282)
    | ~ spl0_115
    | ~ spl0_140 ),
    inference(resolution,[],[f905,f776]) ).

fof(f776,plain,
    ( c2_1(a2282)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f4478,plain,
    ( spl0_171
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f4477,f904,f684,f669,f2259]) ).

fof(f684,plain,
    ( spl0_97
  <=> c2_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f4477,plain,
    ( c0_1(a2315)
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f4465,f671]) ).

fof(f4465,plain,
    ( c0_1(a2315)
    | ~ c1_1(a2315)
    | ~ spl0_97
    | ~ spl0_140 ),
    inference(resolution,[],[f905,f686]) ).

fof(f686,plain,
    ( c2_1(a2315)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f4459,plain,
    ( spl0_183
    | ~ spl0_114
    | ~ spl0_116
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f4458,f917,f779,f769,f3529]) ).

fof(f3529,plain,
    ( spl0_183
  <=> c3_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f769,plain,
    ( spl0_114
  <=> c1_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f779,plain,
    ( spl0_116
  <=> c0_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f917,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f4458,plain,
    ( c3_1(a2277)
    | ~ spl0_114
    | ~ spl0_116
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f4452,f771]) ).

fof(f771,plain,
    ( c1_1(a2277)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f4452,plain,
    ( c3_1(a2277)
    | ~ c1_1(a2277)
    | ~ spl0_116
    | ~ spl0_143 ),
    inference(resolution,[],[f918,f781]) ).

fof(f781,plain,
    ( c0_1(a2277)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f918,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f4456,plain,
    ( spl0_111
    | ~ spl0_113
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(avatar_contradiction_clause,[],[f4455]) ).

fof(f4455,plain,
    ( $false
    | spl0_111
    | ~ spl0_113
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f4454,f766]) ).

fof(f766,plain,
    ( c1_1(a2316)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl0_113
  <=> c1_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f4454,plain,
    ( ~ c1_1(a2316)
    | spl0_111
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f4446,f756]) ).

fof(f756,plain,
    ( ~ c3_1(a2316)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_111
  <=> c3_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f4446,plain,
    ( c3_1(a2316)
    | ~ c1_1(a2316)
    | ~ spl0_143
    | ~ spl0_176 ),
    inference(resolution,[],[f918,f2596]) ).

fof(f2596,plain,
    ( c0_1(a2316)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f2595]) ).

fof(f2595,plain,
    ( spl0_176
  <=> c0_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f4423,plain,
    ( spl0_76
    | spl0_178
    | spl0_79
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4293,f876,f594,f3112,f579]) ).

fof(f579,plain,
    ( spl0_76
  <=> c0_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3112,plain,
    ( spl0_178
  <=> c2_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f594,plain,
    ( spl0_79
  <=> c3_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f4293,plain,
    ( c2_1(a2324)
    | c0_1(a2324)
    | spl0_79
    | ~ spl0_134 ),
    inference(resolution,[],[f877,f596]) ).

fof(f596,plain,
    ( ~ c3_1(a2324)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f877,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f4422,plain,
    ( spl0_70
    | ~ spl0_82
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f4421]) ).

fof(f4421,plain,
    ( $false
    | spl0_70
    | ~ spl0_82
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f4416,f551]) ).

fof(f551,plain,
    ( ~ c2_1(a2286)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl0_70
  <=> c2_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f4416,plain,
    ( c2_1(a2286)
    | ~ spl0_82
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(resolution,[],[f4406,f611]) ).

fof(f611,plain,
    ( c1_1(a2286)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl0_82
  <=> c1_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f4406,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f963,f931]) ).

fof(f931,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f963,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f962,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f4403,plain,
    ( spl0_110
    | ~ spl0_115
    | ~ spl0_132
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f4402]) ).

fof(f4402,plain,
    ( $false
    | spl0_110
    | ~ spl0_115
    | ~ spl0_132
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f4393,f776]) ).

fof(f4393,plain,
    ( ~ c2_1(a2282)
    | spl0_110
    | ~ spl0_132
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(resolution,[],[f4382,f751]) ).

fof(f751,plain,
    ( ~ c3_1(a2282)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f749,plain,
    ( spl0_110
  <=> c3_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f4382,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_132
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f971,f4314]) ).

fof(f4314,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_132
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f918,f869]) ).

fof(f971,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f970,plain,
    ( spl0_154
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f4398,plain,
    ( ~ spl0_83
    | ~ spl0_132
    | ~ spl0_143
    | ~ spl0_154
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f4397]) ).

fof(f4397,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_132
    | ~ spl0_143
    | ~ spl0_154
    | spl0_166 ),
    inference(subsumption_resolution,[],[f4384,f616]) ).

fof(f616,plain,
    ( c2_1(a2325)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f614,plain,
    ( spl0_83
  <=> c2_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f4384,plain,
    ( ~ c2_1(a2325)
    | ~ spl0_132
    | ~ spl0_143
    | ~ spl0_154
    | spl0_166 ),
    inference(resolution,[],[f4382,f1360]) ).

fof(f1360,plain,
    ( ~ c3_1(a2325)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1359]) ).

fof(f1359,plain,
    ( spl0_166
  <=> c3_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f4379,plain,
    ( spl0_110
    | ~ spl0_115
    | ~ spl0_147
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f4378]) ).

fof(f4378,plain,
    ( $false
    | spl0_110
    | ~ spl0_115
    | ~ spl0_147
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f4364,f776]) ).

fof(f4364,plain,
    ( ~ c2_1(a2282)
    | spl0_110
    | ~ spl0_147
    | ~ spl0_154 ),
    inference(resolution,[],[f4342,f751]) ).

fof(f4342,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_147
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f971,f936]) ).

fof(f936,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f4341,plain,
    ( ~ spl0_183
    | spl0_108
    | ~ spl0_114
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f4177,f930,f769,f739,f3529]) ).

fof(f739,plain,
    ( spl0_108
  <=> c2_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f4177,plain,
    ( c2_1(a2277)
    | ~ c3_1(a2277)
    | ~ spl0_114
    | ~ spl0_146 ),
    inference(resolution,[],[f931,f771]) ).

fof(f4339,plain,
    ( ~ spl0_99
    | spl0_91
    | ~ spl0_95
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f4176,f930,f674,f654,f694]) ).

fof(f694,plain,
    ( spl0_99
  <=> c3_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f654,plain,
    ( spl0_91
  <=> c2_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f674,plain,
    ( spl0_95
  <=> c1_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f4176,plain,
    ( c2_1(a2280)
    | ~ c3_1(a2280)
    | ~ spl0_95
    | ~ spl0_146 ),
    inference(resolution,[],[f931,f676]) ).

fof(f676,plain,
    ( c1_1(a2280)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f4313,plain,
    ( spl0_175
    | spl0_43
    | spl0_51
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4312,f876,f454,f414,f2587]) ).

fof(f2587,plain,
    ( spl0_175
  <=> c0_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f414,plain,
    ( spl0_43
  <=> c2_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f454,plain,
    ( spl0_51
  <=> c3_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f4312,plain,
    ( c0_1(a2306)
    | spl0_43
    | spl0_51
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f4305,f416]) ).

fof(f416,plain,
    ( ~ c2_1(a2306)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f4305,plain,
    ( c2_1(a2306)
    | c0_1(a2306)
    | spl0_51
    | ~ spl0_134 ),
    inference(resolution,[],[f877,f456]) ).

fof(f456,plain,
    ( ~ c3_1(a2306)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f4308,plain,
    ( spl0_176
    | spl0_107
    | spl0_111
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4307,f876,f754,f734,f2595]) ).

fof(f734,plain,
    ( spl0_107
  <=> c2_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f4307,plain,
    ( c0_1(a2316)
    | spl0_107
    | spl0_111
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f4294,f736]) ).

fof(f736,plain,
    ( ~ c2_1(a2316)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f4294,plain,
    ( c2_1(a2316)
    | c0_1(a2316)
    | spl0_111
    | ~ spl0_134 ),
    inference(resolution,[],[f877,f756]) ).

fof(f4275,plain,
    ( spl0_44
    | spl0_47
    | ~ spl0_60
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f4274]) ).

fof(f4274,plain,
    ( $false
    | spl0_44
    | spl0_47
    | ~ spl0_60
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f4273,f421]) ).

fof(f421,plain,
    ( ~ c2_1(a2327)
    | spl0_44 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl0_44
  <=> c2_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f4273,plain,
    ( c2_1(a2327)
    | spl0_47
    | ~ spl0_60
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f4268,f436]) ).

fof(f436,plain,
    ( ~ c0_1(a2327)
    | spl0_47 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl0_47
  <=> c0_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f4268,plain,
    ( c0_1(a2327)
    | c2_1(a2327)
    | ~ spl0_60
    | ~ spl0_148 ),
    inference(resolution,[],[f944,f501]) ).

fof(f501,plain,
    ( c3_1(a2327)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f499,plain,
    ( spl0_60
  <=> c3_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f944,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f943,plain,
    ( spl0_148
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f4259,plain,
    ( ~ spl0_179
    | spl0_78
    | ~ spl0_80
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f4258,f935,f599,f589,f3118]) ).

fof(f3118,plain,
    ( spl0_179
  <=> c2_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f589,plain,
    ( spl0_78
  <=> c3_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f599,plain,
    ( spl0_80
  <=> c1_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f4258,plain,
    ( ~ c2_1(a2285)
    | spl0_78
    | ~ spl0_80
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f4250,f591]) ).

fof(f591,plain,
    ( ~ c3_1(a2285)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f4250,plain,
    ( c3_1(a2285)
    | ~ c2_1(a2285)
    | ~ spl0_80
    | ~ spl0_147 ),
    inference(resolution,[],[f936,f601]) ).

fof(f601,plain,
    ( c1_1(a2285)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f4257,plain,
    ( ~ spl0_178
    | spl0_79
    | ~ spl0_81
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f4256,f935,f604,f594,f3112]) ).

fof(f604,plain,
    ( spl0_81
  <=> c1_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f4256,plain,
    ( ~ c2_1(a2324)
    | spl0_79
    | ~ spl0_81
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f4246,f596]) ).

fof(f4246,plain,
    ( c3_1(a2324)
    | ~ c2_1(a2324)
    | ~ spl0_81
    | ~ spl0_147 ),
    inference(resolution,[],[f936,f606]) ).

fof(f606,plain,
    ( c1_1(a2324)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f4240,plain,
    ( ~ spl0_171
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f4239,f886,f684,f669,f2259]) ).

fof(f886,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f4239,plain,
    ( ~ c0_1(a2315)
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f4227,f671]) ).

fof(f4227,plain,
    ( ~ c0_1(a2315)
    | ~ c1_1(a2315)
    | ~ spl0_97
    | ~ spl0_136 ),
    inference(resolution,[],[f887,f686]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f4080,plain,
    ( ~ spl0_53
    | ~ spl0_56
    | ~ spl0_139
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f4079]) ).

fof(f4079,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_56
    | ~ spl0_139
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f4078,f466]) ).

fof(f466,plain,
    ( c2_1(a2309)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl0_53
  <=> c2_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f4078,plain,
    ( ~ c2_1(a2309)
    | ~ spl0_56
    | ~ spl0_139
    | ~ spl0_155 ),
    inference(resolution,[],[f481,f4033]) ).

fof(f4033,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_139
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f980,f899]) ).

fof(f899,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f980,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f979,plain,
    ( spl0_155
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f481,plain,
    ( c0_1(a2309)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f479,plain,
    ( spl0_56
  <=> c0_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f4071,plain,
    ( ~ spl0_126
    | ~ spl0_127
    | ~ spl0_139
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f4047,f979,f898,f834,f829]) ).

fof(f829,plain,
    ( spl0_126
  <=> c2_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f834,plain,
    ( spl0_127
  <=> c0_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f4047,plain,
    ( ~ c2_1(a2287)
    | ~ spl0_127
    | ~ spl0_139
    | ~ spl0_155 ),
    inference(resolution,[],[f4033,f836]) ).

fof(f836,plain,
    ( c0_1(a2287)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f4057,plain,
    ( ~ spl0_23
    | ~ spl0_139
    | ~ spl0_155
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f4056]) ).

fof(f4056,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_139
    | ~ spl0_155
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f4043,f316]) ).

fof(f316,plain,
    ( c2_1(a2323)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl0_23
  <=> c2_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f4043,plain,
    ( ~ c2_1(a2323)
    | ~ spl0_139
    | ~ spl0_155
    | ~ spl0_170 ),
    inference(resolution,[],[f4033,f2249]) ).

fof(f2249,plain,
    ( c0_1(a2323)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f2247]) ).

fof(f2247,plain,
    ( spl0_170
  <=> c0_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f4038,plain,
    ( ~ spl0_175
    | spl0_51
    | spl0_41
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f4036,f864,f404,f454,f2587]) ).

fof(f404,plain,
    ( spl0_41
  <=> c1_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f864,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f4036,plain,
    ( c3_1(a2306)
    | ~ c0_1(a2306)
    | spl0_41
    | ~ spl0_131 ),
    inference(resolution,[],[f406,f865]) ).

fof(f865,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f406,plain,
    ( ~ c1_1(a2306)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f4028,plain,
    ( spl0_92
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_138
    | ~ spl0_143
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f4019]) ).

fof(f4019,plain,
    ( $false
    | spl0_92
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_138
    | ~ spl0_143
    | ~ spl0_156 ),
    inference(resolution,[],[f4014,f661]) ).

fof(f661,plain,
    ( ~ c3_1(a2299)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f659,plain,
    ( spl0_92
  <=> c3_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f4014,plain,
    ( ! [X0] : c3_1(X0)
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_138
    | ~ spl0_143
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3958,f3957]) ).

fof(f3957,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f918,f865]) ).

fof(f3958,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f869,f3922]) ).

fof(f3922,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f895,f988]) ).

fof(f988,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f987,plain,
    ( spl0_156
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f895,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3947,plain,
    ( spl0_42
    | ~ spl0_54
    | ~ spl0_151
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f3946]) ).

fof(f3946,plain,
    ( $false
    | spl0_42
    | ~ spl0_54
    | ~ spl0_151
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3945,f471]) ).

fof(f471,plain,
    ( c0_1(a2294)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl0_54
  <=> c0_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3945,plain,
    ( ~ c0_1(a2294)
    | spl0_42
    | ~ spl0_151
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3944,f411]) ).

fof(f411,plain,
    ( ~ c2_1(a2294)
    | spl0_42 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f3944,plain,
    ( c2_1(a2294)
    | ~ c0_1(a2294)
    | ~ spl0_151
    | ~ spl0_173 ),
    inference(resolution,[],[f2399,f957]) ).

fof(f957,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2399,plain,
    ( c3_1(a2294)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2397]) ).

fof(f3921,plain,
    ( spl0_90
    | spl0_92
    | ~ spl0_96
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3920]) ).

fof(f3920,plain,
    ( $false
    | spl0_90
    | spl0_92
    | ~ spl0_96
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3919,f681]) ).

fof(f681,plain,
    ( c2_1(a2299)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_96
  <=> c2_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3919,plain,
    ( ~ c2_1(a2299)
    | spl0_90
    | spl0_92
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3912,f661]) ).

fof(f3912,plain,
    ( c3_1(a2299)
    | ~ c2_1(a2299)
    | spl0_90
    | ~ spl0_154 ),
    inference(resolution,[],[f971,f651]) ).

fof(f651,plain,
    ( ~ c1_1(a2299)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f649,plain,
    ( spl0_90
  <=> c1_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3876,plain,
    ( spl0_173
    | spl0_38
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3875,f864,f469,f389,f2397]) ).

fof(f3875,plain,
    ( c3_1(a2294)
    | spl0_38
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3865,f471]) ).

fof(f3865,plain,
    ( c3_1(a2294)
    | ~ c0_1(a2294)
    | spl0_38
    | ~ spl0_131 ),
    inference(resolution,[],[f865,f391]) ).

fof(f3835,plain,
    ( spl0_108
    | ~ spl0_114
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3834,f999,f779,f769,f739]) ).

fof(f999,plain,
    ( spl0_158
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3834,plain,
    ( c2_1(a2277)
    | ~ spl0_114
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3818,f771]) ).

fof(f3818,plain,
    ( c2_1(a2277)
    | ~ c1_1(a2277)
    | ~ spl0_116
    | ~ spl0_158 ),
    inference(resolution,[],[f1000,f781]) ).

fof(f1000,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f3831,plain,
    ( spl0_107
    | spl0_111
    | ~ spl0_113
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3830,f962,f764,f754,f734]) ).

fof(f3830,plain,
    ( c2_1(a2316)
    | spl0_111
    | ~ spl0_113
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3774,f756]) ).

fof(f3774,plain,
    ( c3_1(a2316)
    | c2_1(a2316)
    | ~ spl0_113
    | ~ spl0_152 ),
    inference(resolution,[],[f963,f766]) ).

fof(f3725,plain,
    ( spl0_110
    | ~ spl0_115
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f3724]) ).

fof(f3724,plain,
    ( $false
    | spl0_110
    | ~ spl0_115
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f3723,f776]) ).

fof(f3723,plain,
    ( ~ c2_1(a2282)
    | spl0_110
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f3698,f751]) ).

fof(f3698,plain,
    ( c3_1(a2282)
    | ~ c2_1(a2282)
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(resolution,[],[f936,f2235]) ).

fof(f2235,plain,
    ( c1_1(a2282)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2234]) ).

fof(f3686,plain,
    ( ~ spl0_28
    | spl0_170
    | ~ spl0_23
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3594,f860,f314,f2247,f339]) ).

fof(f339,plain,
    ( spl0_28
  <=> c3_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f860,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3594,plain,
    ( c0_1(a2323)
    | ~ c3_1(a2323)
    | ~ spl0_23
    | ~ spl0_130 ),
    inference(resolution,[],[f861,f316]) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f3634,plain,
    ( ~ spl0_80
    | ~ spl0_84
    | ~ spl0_136
    | ~ spl0_179 ),
    inference(avatar_contradiction_clause,[],[f3633]) ).

fof(f3633,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_84
    | ~ spl0_136
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f3632,f601]) ).

fof(f3632,plain,
    ( ~ c1_1(a2285)
    | ~ spl0_84
    | ~ spl0_136
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f3622,f621]) ).

fof(f621,plain,
    ( c0_1(a2285)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f619,plain,
    ( spl0_84
  <=> c0_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3622,plain,
    ( ~ c0_1(a2285)
    | ~ c1_1(a2285)
    | ~ spl0_136
    | ~ spl0_179 ),
    inference(resolution,[],[f887,f3120]) ).

fof(f3120,plain,
    ( c2_1(a2285)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f3118]) ).

fof(f3580,plain,
    ( ~ spl0_93
    | ~ spl0_98
    | ~ spl0_136
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3579]) ).

fof(f3579,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_98
    | ~ spl0_136
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3566,f691]) ).

fof(f691,plain,
    ( c0_1(a2278)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_98
  <=> c0_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f3566,plain,
    ( ~ c0_1(a2278)
    | ~ spl0_93
    | ~ spl0_136
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(resolution,[],[f3550,f666]) ).

fof(f666,plain,
    ( c1_1(a2278)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f664,plain,
    ( spl0_93
  <=> c1_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3550,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f887,f3501]) ).

fof(f3501,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f963,f931]) ).

fof(f3500,plain,
    ( spl0_148
    | ~ spl0_138
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3309,f930,f894,f943]) ).

fof(f3309,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_138
    | ~ spl0_146 ),
    inference(duplicate_literal_removal,[],[f3294]) ).

fof(f3294,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_138
    | ~ spl0_146 ),
    inference(resolution,[],[f895,f931]) ).

fof(f3498,plain,
    ( ~ spl0_116
    | spl0_108
    | ~ spl0_114
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3497,f930,f882,f769,f739,f779]) ).

fof(f882,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3497,plain,
    ( ~ c0_1(a2277)
    | spl0_108
    | ~ spl0_114
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3489,f741]) ).

fof(f741,plain,
    ( ~ c2_1(a2277)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f3489,plain,
    ( ~ c0_1(a2277)
    | c2_1(a2277)
    | spl0_108
    | ~ spl0_114
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(resolution,[],[f3259,f883]) ).

fof(f883,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f3259,plain,
    ( ~ c3_1(a2277)
    | spl0_108
    | ~ spl0_114
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3250,f741]) ).

fof(f3250,plain,
    ( c2_1(a2277)
    | ~ c3_1(a2277)
    | ~ spl0_114
    | ~ spl0_146 ),
    inference(resolution,[],[f931,f771]) ).

fof(f3496,plain,
    ( ~ spl0_80
    | spl0_78
    | ~ spl0_84
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3495,f917,f619,f589,f599]) ).

fof(f3495,plain,
    ( ~ c1_1(a2285)
    | spl0_78
    | ~ spl0_84
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3404,f591]) ).

fof(f3404,plain,
    ( c3_1(a2285)
    | ~ c1_1(a2285)
    | ~ spl0_84
    | ~ spl0_143 ),
    inference(resolution,[],[f621,f918]) ).

fof(f3462,plain,
    ( spl0_12
    | ~ spl0_23
    | ~ spl0_157
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f3461]) ).

fof(f3461,plain,
    ( $false
    | spl0_12
    | ~ spl0_23
    | ~ spl0_157
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3460,f316]) ).

fof(f3460,plain,
    ( ~ c2_1(a2323)
    | spl0_12
    | ~ spl0_157
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3448,f261]) ).

fof(f261,plain,
    ( ~ c1_1(a2323)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl0_12
  <=> c1_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3448,plain,
    ( c1_1(a2323)
    | ~ c2_1(a2323)
    | ~ spl0_157
    | ~ spl0_170 ),
    inference(resolution,[],[f993,f2249]) ).

fof(f993,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl0_157
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f3164,plain,
    ( ~ spl0_94
    | ~ spl0_97
    | ~ spl0_101
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3163]) ).

fof(f3163,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_101
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f3162,f671]) ).

fof(f3162,plain,
    ( ~ c1_1(a2315)
    | ~ spl0_97
    | ~ spl0_101
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f3143,f706]) ).

fof(f3143,plain,
    ( ~ c3_1(a2315)
    | ~ c1_1(a2315)
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(resolution,[],[f873,f686]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f3121,plain,
    ( spl0_179
    | ~ spl0_84
    | spl0_78
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2942,f882,f589,f619,f3118]) ).

fof(f2942,plain,
    ( ~ c0_1(a2285)
    | c2_1(a2285)
    | spl0_78
    | ~ spl0_135 ),
    inference(resolution,[],[f591,f883]) ).

fof(f3064,plain,
    ( spl0_70
    | ~ spl0_82
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f3063]) ).

fof(f3063,plain,
    ( $false
    | spl0_70
    | ~ spl0_82
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3057,f551]) ).

fof(f3057,plain,
    ( c2_1(a2286)
    | ~ spl0_82
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(resolution,[],[f3039,f611]) ).

fof(f3039,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f931,f2610]) ).

fof(f2610,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f877,f883]) ).

fof(f3036,plain,
    ( spl0_109
    | ~ spl0_115
    | ~ spl0_156
    | spl0_169 ),
    inference(avatar_contradiction_clause,[],[f3035]) ).

fof(f3035,plain,
    ( $false
    | spl0_109
    | ~ spl0_115
    | ~ spl0_156
    | spl0_169 ),
    inference(subsumption_resolution,[],[f3034,f776]) ).

fof(f3034,plain,
    ( ~ c2_1(a2282)
    | spl0_109
    | ~ spl0_156
    | spl0_169 ),
    inference(subsumption_resolution,[],[f3021,f746]) ).

fof(f3021,plain,
    ( c0_1(a2282)
    | ~ c2_1(a2282)
    | ~ spl0_156
    | spl0_169 ),
    inference(resolution,[],[f988,f2236]) ).

fof(f2236,plain,
    ( ~ c1_1(a2282)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f2234]) ).

fof(f3026,plain,
    ( spl0_170
    | spl0_12
    | ~ spl0_23
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3025,f987,f314,f259,f2247]) ).

fof(f3025,plain,
    ( c0_1(a2323)
    | spl0_12
    | ~ spl0_23
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3010,f316]) ).

fof(f3010,plain,
    ( c0_1(a2323)
    | ~ c2_1(a2323)
    | spl0_12
    | ~ spl0_156 ),
    inference(resolution,[],[f988,f261]) ).

fof(f2947,plain,
    ( spl0_43
    | spl0_51
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2663,f882,f876,f454,f414]) ).

fof(f2663,plain,
    ( c2_1(a2306)
    | spl0_51
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(resolution,[],[f2610,f456]) ).

fof(f2929,plain,
    ( ~ spl0_114
    | ~ spl0_116
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2928]) ).

fof(f2928,plain,
    ( $false
    | ~ spl0_114
    | ~ spl0_116
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2924,f771]) ).

fof(f2924,plain,
    ( ~ c1_1(a2277)
    | ~ spl0_116
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(resolution,[],[f2913,f781]) ).

fof(f2913,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1000,f887]) ).

fof(f2927,plain,
    ( ~ spl0_93
    | ~ spl0_98
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2926]) ).

fof(f2926,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_98
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2916,f666]) ).

fof(f2916,plain,
    ( ~ c1_1(a2278)
    | ~ spl0_98
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(resolution,[],[f2913,f691]) ).

fof(f2846,plain,
    ( ~ spl0_167
    | spl0_14
    | spl0_18
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2811,f987,f289,f269,f1920]) ).

fof(f1920,plain,
    ( spl0_167
  <=> c2_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f269,plain,
    ( spl0_14
  <=> c1_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f289,plain,
    ( spl0_18
  <=> c0_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2811,plain,
    ( ~ c2_1(a2345)
    | spl0_14
    | spl0_18
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2790,f291]) ).

fof(f291,plain,
    ( ~ c0_1(a2345)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f2790,plain,
    ( c0_1(a2345)
    | ~ c2_1(a2345)
    | spl0_14
    | ~ spl0_156 ),
    inference(resolution,[],[f988,f271]) ).

fof(f271,plain,
    ( ~ c1_1(a2345)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f2730,plain,
    ( spl0_107
    | spl0_111
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2657,f882,f876,f754,f734]) ).

fof(f2657,plain,
    ( c2_1(a2316)
    | spl0_111
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(resolution,[],[f2610,f756]) ).

fof(f2673,plain,
    ( spl0_72
    | spl0_68
    | ~ spl0_135
    | ~ spl0_138
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2672,f956,f894,f882,f539,f559]) ).

fof(f559,plain,
    ( spl0_72
  <=> c2_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f539,plain,
    ( spl0_68
  <=> c1_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2672,plain,
    ( c2_1(a2308)
    | spl0_68
    | ~ spl0_135
    | ~ spl0_138
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2552,f2608]) ).

fof(f2608,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f957,f883]) ).

fof(f2552,plain,
    ( c0_1(a2308)
    | c2_1(a2308)
    | spl0_68
    | ~ spl0_138 ),
    inference(resolution,[],[f895,f541]) ).

fof(f541,plain,
    ( ~ c1_1(a2308)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f2643,plain,
    ( spl0_39
    | spl0_48
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2642]) ).

fof(f2642,plain,
    ( $false
    | spl0_39
    | spl0_48
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2624,f441]) ).

fof(f441,plain,
    ( ~ c0_1(a2284)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_48
  <=> c0_1(a2284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2624,plain,
    ( c0_1(a2284)
    | spl0_39
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(resolution,[],[f2607,f396]) ).

fof(f396,plain,
    ( ~ c1_1(a2284)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl0_39
  <=> c1_1(a2284) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2607,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f988,f895]) ).

fof(f2639,plain,
    ( spl0_175
    | spl0_41
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2622,f987,f894,f404,f2587]) ).

fof(f2622,plain,
    ( c0_1(a2306)
    | spl0_41
    | ~ spl0_138
    | ~ spl0_156 ),
    inference(resolution,[],[f2607,f406]) ).

fof(f2591,plain,
    ( spl0_43
    | ~ spl0_175
    | spl0_51
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2425,f882,f454,f2587,f414]) ).

fof(f2425,plain,
    ( ~ c0_1(a2306)
    | c2_1(a2306)
    | spl0_51
    | ~ spl0_135 ),
    inference(resolution,[],[f883,f456]) ).

fof(f2590,plain,
    ( spl0_43
    | spl0_175
    | spl0_41
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2560,f894,f404,f2587,f414]) ).

fof(f2560,plain,
    ( c0_1(a2306)
    | c2_1(a2306)
    | spl0_41
    | ~ spl0_138 ),
    inference(resolution,[],[f895,f406]) ).

fof(f2584,plain,
    ( spl0_15
    | spl0_13
    | spl0_16
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2573,f894,f279,f264,f274]) ).

fof(f274,plain,
    ( spl0_15
  <=> c2_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f264,plain,
    ( spl0_13
  <=> c1_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f279,plain,
    ( spl0_16
  <=> c0_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2573,plain,
    ( c2_1(a2291)
    | spl0_13
    | spl0_16
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2561,f281]) ).

fof(f281,plain,
    ( ~ c0_1(a2291)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f2561,plain,
    ( c0_1(a2291)
    | c2_1(a2291)
    | spl0_13
    | ~ spl0_138 ),
    inference(resolution,[],[f895,f266]) ).

fof(f266,plain,
    ( ~ c1_1(a2291)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f2564,plain,
    ( spl0_167
    | spl0_14
    | spl0_18
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2563,f894,f289,f269,f1920]) ).

fof(f2563,plain,
    ( c2_1(a2345)
    | spl0_14
    | spl0_18
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2549,f291]) ).

fof(f2549,plain,
    ( c0_1(a2345)
    | c2_1(a2345)
    | spl0_14
    | ~ spl0_138 ),
    inference(resolution,[],[f895,f271]) ).

fof(f2499,plain,
    ( ~ spl0_173
    | spl0_38
    | ~ spl0_54
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2453,f952,f469,f389,f2397]) ).

fof(f952,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2453,plain,
    ( c1_1(a2294)
    | ~ c3_1(a2294)
    | ~ spl0_54
    | ~ spl0_150 ),
    inference(resolution,[],[f953,f471]) ).

fof(f953,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f2498,plain,
    ( spl0_42
    | ~ spl0_54
    | ~ spl0_135
    | spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2497]) ).

fof(f2497,plain,
    ( $false
    | spl0_42
    | ~ spl0_54
    | ~ spl0_135
    | spl0_173 ),
    inference(subsumption_resolution,[],[f2496,f411]) ).

fof(f2496,plain,
    ( c2_1(a2294)
    | ~ spl0_54
    | ~ spl0_135
    | spl0_173 ),
    inference(subsumption_resolution,[],[f2495,f471]) ).

fof(f2495,plain,
    ( ~ c0_1(a2294)
    | c2_1(a2294)
    | ~ spl0_135
    | spl0_173 ),
    inference(resolution,[],[f2398,f883]) ).

fof(f2398,plain,
    ( ~ c3_1(a2294)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f2397]) ).

fof(f2462,plain,
    ( spl0_12
    | ~ spl0_28
    | ~ spl0_150
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2461]) ).

fof(f2461,plain,
    ( $false
    | spl0_12
    | ~ spl0_28
    | ~ spl0_150
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2460,f341]) ).

fof(f341,plain,
    ( c3_1(a2323)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2460,plain,
    ( ~ c3_1(a2323)
    | spl0_12
    | ~ spl0_150
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2451,f261]) ).

fof(f2451,plain,
    ( c1_1(a2323)
    | ~ c3_1(a2323)
    | ~ spl0_150
    | ~ spl0_170 ),
    inference(resolution,[],[f953,f2249]) ).

fof(f2392,plain,
    ( spl0_71
    | spl0_74
    | spl0_77
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_71
    | spl0_74
    | spl0_77
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2390,f571]) ).

fof(f571,plain,
    ( ~ c0_1(a2304)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl0_74
  <=> c0_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2390,plain,
    ( c0_1(a2304)
    | spl0_71
    | spl0_77
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2381,f556]) ).

fof(f556,plain,
    ( ~ c2_1(a2304)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f554,plain,
    ( spl0_71
  <=> c2_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2381,plain,
    ( c2_1(a2304)
    | c0_1(a2304)
    | spl0_77
    | ~ spl0_134 ),
    inference(resolution,[],[f877,f586]) ).

fof(f586,plain,
    ( ~ c3_1(a2304)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f584,plain,
    ( spl0_77
  <=> c3_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2364,plain,
    ( spl0_76
    | spl0_79
    | ~ spl0_81
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f2363]) ).

fof(f2363,plain,
    ( $false
    | spl0_76
    | spl0_79
    | ~ spl0_81
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2362,f581]) ).

fof(f581,plain,
    ( ~ c0_1(a2324)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f2362,plain,
    ( c0_1(a2324)
    | spl0_79
    | ~ spl0_81
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2353,f596]) ).

fof(f2353,plain,
    ( c3_1(a2324)
    | c0_1(a2324)
    | ~ spl0_81
    | ~ spl0_132 ),
    inference(resolution,[],[f869,f606]) ).

fof(f2326,plain,
    ( ~ spl0_101
    | spl0_171
    | ~ spl0_97
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2253,f860,f684,f2259,f704]) ).

fof(f2253,plain,
    ( c0_1(a2315)
    | ~ c3_1(a2315)
    | ~ spl0_97
    | ~ spl0_130 ),
    inference(resolution,[],[f686,f861]) ).

fof(f2317,plain,
    ( spl0_110
    | ~ spl0_115
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2316]) ).

fof(f2316,plain,
    ( $false
    | spl0_110
    | ~ spl0_115
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2309,f751]) ).

fof(f2309,plain,
    ( c3_1(a2282)
    | ~ spl0_115
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(resolution,[],[f2242,f776]) ).

fof(f2242,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f971,f2168]) ).

fof(f2168,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f887,f905]) ).

fof(f2304,plain,
    ( ~ spl0_169
    | ~ spl0_115
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2204,f904,f886,f774,f2234]) ).

fof(f2204,plain,
    ( ~ c1_1(a2282)
    | ~ spl0_115
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(resolution,[],[f2168,f776]) ).

fof(f2267,plain,
    ( ~ spl0_129
    | spl0_123
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2266,f860,f824,f814,f844]) ).

fof(f844,plain,
    ( spl0_129
  <=> c3_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f814,plain,
    ( spl0_123
  <=> c0_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f824,plain,
    ( spl0_125
  <=> c2_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2266,plain,
    ( c0_1(a2302)
    | ~ c3_1(a2302)
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(resolution,[],[f826,f861]) ).

fof(f826,plain,
    ( c2_1(a2302)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f2263,plain,
    ( ~ spl0_94
    | ~ spl0_97
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2251,f904,f886,f684,f669]) ).

fof(f2251,plain,
    ( ~ c1_1(a2315)
    | ~ spl0_97
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(resolution,[],[f686,f2168]) ).

fof(f2197,plain,
    ( spl0_19
    | ~ spl0_25
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2196]) ).

fof(f2196,plain,
    ( $false
    | spl0_19
    | ~ spl0_25
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2195,f296]) ).

fof(f296,plain,
    ( ~ c3_1(a2293)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl0_19
  <=> c3_1(a2293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f2195,plain,
    ( c3_1(a2293)
    | ~ spl0_25
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(resolution,[],[f326,f2167]) ).

fof(f2167,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f883,f899]) ).

fof(f326,plain,
    ( c0_1(a2293)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl0_25
  <=> c0_1(a2293) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2184,plain,
    ( spl0_78
    | ~ spl0_84
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2175,f898,f882,f619,f589]) ).

fof(f2175,plain,
    ( c3_1(a2285)
    | ~ spl0_84
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(resolution,[],[f2167,f621]) ).

fof(f2181,plain,
    ( spl0_112
    | ~ spl0_117
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2180]) ).

fof(f2180,plain,
    ( $false
    | spl0_112
    | ~ spl0_117
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2173,f761]) ).

fof(f761,plain,
    ( ~ c3_1(a2295)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f759,plain,
    ( spl0_112
  <=> c3_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2173,plain,
    ( c3_1(a2295)
    | ~ spl0_117
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(resolution,[],[f2167,f786]) ).

fof(f786,plain,
    ( c0_1(a2295)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl0_117
  <=> c0_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2166,plain,
    ( spl0_108
    | ~ spl0_116
    | ~ spl0_135
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2165,plain,
    ( $false
    | spl0_108
    | ~ spl0_116
    | ~ spl0_135
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2160,f741]) ).

fof(f2160,plain,
    ( c2_1(a2277)
    | ~ spl0_116
    | ~ spl0_135
    | ~ spl0_151 ),
    inference(resolution,[],[f2150,f781]) ).

fof(f2150,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f883,f957]) ).

fof(f2013,plain,
    ( ~ spl0_27
    | spl0_18
    | spl0_14
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2012,f921,f269,f289,f334]) ).

fof(f334,plain,
    ( spl0_27
  <=> c3_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f921,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2012,plain,
    ( c0_1(a2345)
    | ~ c3_1(a2345)
    | spl0_14
    | ~ spl0_144 ),
    inference(resolution,[],[f271,f922]) ).

fof(f922,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f2009,plain,
    ( ~ spl0_93
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2008,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2007,f691]) ).

fof(f2007,plain,
    ( ~ c0_1(a2278)
    | ~ spl0_93
    | ~ spl0_100
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f1996,f666]) ).

fof(f1996,plain,
    ( ~ c1_1(a2278)
    | ~ c0_1(a2278)
    | ~ spl0_100
    | ~ spl0_153 ),
    inference(resolution,[],[f966,f701]) ).

fof(f701,plain,
    ( c3_1(a2278)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl0_100
  <=> c3_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1976,plain,
    ( spl0_46
    | ~ spl0_55
    | ~ spl0_59
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1975,plain,
    ( $false
    | spl0_46
    | ~ spl0_55
    | ~ spl0_59
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1974,f476]) ).

fof(f476,plain,
    ( c0_1(a2342)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl0_55
  <=> c0_1(a2342) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1974,plain,
    ( ~ c0_1(a2342)
    | spl0_46
    | ~ spl0_59
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1964,f431]) ).

fof(f431,plain,
    ( ~ c2_1(a2342)
    | spl0_46 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f429,plain,
    ( spl0_46
  <=> c2_1(a2342) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1964,plain,
    ( c2_1(a2342)
    | ~ c0_1(a2342)
    | ~ spl0_59
    | ~ spl0_151 ),
    inference(resolution,[],[f957,f496]) ).

fof(f496,plain,
    ( c3_1(a2342)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f494,plain,
    ( spl0_59
  <=> c3_1(a2342) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1934,plain,
    ( spl0_45
    | spl0_49
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1933]) ).

fof(f1933,plain,
    ( $false
    | spl0_45
    | spl0_49
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1932,f426]) ).

fof(f426,plain,
    ( ~ c2_1(a2279)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl0_45
  <=> c2_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1932,plain,
    ( c2_1(a2279)
    | spl0_49
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1915,f486]) ).

fof(f486,plain,
    ( c0_1(a2279)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl0_57
  <=> c0_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1915,plain,
    ( ~ c0_1(a2279)
    | c2_1(a2279)
    | spl0_49
    | ~ spl0_135 ),
    inference(resolution,[],[f883,f446]) ).

fof(f446,plain,
    ( ~ c3_1(a2279)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl0_49
  <=> c3_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1883,plain,
    ( spl0_106
    | spl0_112
    | ~ spl0_117
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1882,plain,
    ( $false
    | spl0_106
    | spl0_112
    | ~ spl0_117
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1881,f786]) ).

fof(f1881,plain,
    ( ~ c0_1(a2295)
    | spl0_106
    | spl0_112
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1875,f761]) ).

fof(f1875,plain,
    ( c3_1(a2295)
    | ~ c0_1(a2295)
    | spl0_106
    | ~ spl0_131 ),
    inference(resolution,[],[f865,f731]) ).

fof(f731,plain,
    ( ~ c1_1(a2295)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f729,plain,
    ( spl0_106
  <=> c1_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1831,plain,
    ( spl0_76
    | spl0_79
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1830,plain,
    ( $false
    | spl0_76
    | spl0_79
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1817,f581]) ).

fof(f1817,plain,
    ( c0_1(a2324)
    | spl0_79
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(resolution,[],[f1769,f596]) ).

fof(f1769,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_130
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f877,f1074]) ).

fof(f1074,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_130
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f914,f861]) ).

fof(f914,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1664,plain,
    ( ~ spl0_94
    | ~ spl0_101
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1663,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_101
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1649,f671]) ).

fof(f1649,plain,
    ( ~ c1_1(a2315)
    | ~ spl0_101
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(resolution,[],[f1647,f706]) ).

fof(f1647,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_136
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f931,f1544]) ).

fof(f1544,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_136
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f887,f905]) ).

fof(f1562,plain,
    ( spl0_110
    | ~ spl0_115
    | ~ spl0_130
    | ~ spl0_139
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1554,f913,f898,f860,f774,f749]) ).

fof(f1554,plain,
    ( c3_1(a2282)
    | ~ spl0_115
    | ~ spl0_130
    | ~ spl0_139
    | ~ spl0_142 ),
    inference(resolution,[],[f1543,f776]) ).

fof(f1543,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_139
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f899,f1074]) ).

fof(f1457,plain,
    ( spl0_68
    | ~ spl0_85
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_142
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | spl0_68
    | ~ spl0_85
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_142
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1448,f626]) ).

fof(f626,plain,
    ( c3_1(a2308)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl0_85
  <=> c3_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1448,plain,
    ( ~ c3_1(a2308)
    | spl0_68
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_142
    | ~ spl0_150 ),
    inference(resolution,[],[f1313,f541]) ).

fof(f1313,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_142
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f953,f1104]) ).

fof(f1104,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f895,f1074]) ).

fof(f1397,plain,
    ( ~ spl0_166
    | spl0_75
    | ~ spl0_83
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1396,f860,f614,f574,f1359]) ).

fof(f574,plain,
    ( spl0_75
  <=> c0_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1396,plain,
    ( ~ c3_1(a2325)
    | spl0_75
    | ~ spl0_83
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1390,f576]) ).

fof(f576,plain,
    ( ~ c0_1(a2325)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f1390,plain,
    ( c0_1(a2325)
    | ~ c3_1(a2325)
    | ~ spl0_83
    | ~ spl0_130 ),
    inference(resolution,[],[f616,f861]) ).

fof(f1312,plain,
    ( spl0_109
    | ~ spl0_115
    | ~ spl0_130
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1303,f913,f860,f774,f744]) ).

fof(f1303,plain,
    ( c0_1(a2282)
    | ~ spl0_115
    | ~ spl0_130
    | ~ spl0_142 ),
    inference(resolution,[],[f776,f1074]) ).

fof(f1260,plain,
    ( spl0_17
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1259,f904,f309,f299,f284]) ).

fof(f284,plain,
    ( spl0_17
  <=> c0_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f299,plain,
    ( spl0_20
  <=> c1_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f309,plain,
    ( spl0_22
  <=> c2_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1259,plain,
    ( c0_1(a2367)
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1245,f301]) ).

fof(f301,plain,
    ( c1_1(a2367)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f1245,plain,
    ( c0_1(a2367)
    | ~ c1_1(a2367)
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(resolution,[],[f311,f905]) ).

fof(f311,plain,
    ( c2_1(a2367)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f1132,plain,
    ( spl0_106
    | spl0_112
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1131]) ).

fof(f1131,plain,
    ( $false
    | spl0_106
    | spl0_112
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1121,f761]) ).

fof(f1121,plain,
    ( c3_1(a2295)
    | spl0_106
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(resolution,[],[f1103,f731]) ).

fof(f1103,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f971,f926]) ).

fof(f1130,plain,
    ( spl0_90
    | spl0_92
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1129]) ).

fof(f1129,plain,
    ( $false
    | spl0_90
    | spl0_92
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1120,f661]) ).

fof(f1120,plain,
    ( c3_1(a2299)
    | spl0_90
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(resolution,[],[f1103,f651]) ).

fof(f1102,plain,
    ( ~ spl0_128
    | spl0_122
    | ~ spl0_124
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1099,f908,f819,f809,f839]) ).

fof(f839,plain,
    ( spl0_128
  <=> c3_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f809,plain,
    ( spl0_122
  <=> c0_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f819,plain,
    ( spl0_124
  <=> c1_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f908,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1099,plain,
    ( ~ c3_1(a2276)
    | spl0_122
    | ~ spl0_124
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1096,f811]) ).

fof(f811,plain,
    ( ~ c0_1(a2276)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f1096,plain,
    ( c0_1(a2276)
    | ~ c3_1(a2276)
    | ~ spl0_124
    | ~ spl0_141 ),
    inference(resolution,[],[f909,f821]) ).

fof(f821,plain,
    ( c1_1(a2276)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f909,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f1073,plain,
    ( spl0_51
    | spl0_41
    | spl0_43
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1072,f925,f414,f404,f454]) ).

fof(f1072,plain,
    ( c3_1(a2306)
    | spl0_41
    | spl0_43
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1062,f416]) ).

fof(f1062,plain,
    ( c3_1(a2306)
    | c2_1(a2306)
    | spl0_41
    | ~ spl0_145 ),
    inference(resolution,[],[f926,f406]) ).

fof(f1038,plain,
    ( ~ spl0_28
    | spl0_12
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1034,f890,f314,f259,f339]) ).

fof(f890,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1034,plain,
    ( ~ c3_1(a2323)
    | spl0_12
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1026,f261]) ).

fof(f1026,plain,
    ( c1_1(a2323)
    | ~ c3_1(a2323)
    | ~ spl0_23
    | ~ spl0_137 ),
    inference(resolution,[],[f891,f316]) ).

fof(f891,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f1012,plain,
    ( spl0_134
    | spl0_148
    | spl0_140
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f205,f904,f943,f876]) ).

fof(f205,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

fof(f1011,plain,
    ( spl0_145
    | spl0_151
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f205,f886,f956,f925]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f1010,plain,
    ( spl0_156
    | spl0_137
    | spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f205,f930,f890,f987]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

fof(f1009,plain,
    ( spl0_150
    | spl0_158
    | spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f203,f205,f965,f999,f952]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | c1_1(X2)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f1008,plain,
    ( spl0_139
    | spl0_140
    | spl0_147
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f202,f205,f935,f904,f898]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c0_1(X2)
      | c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f1006,plain,
    ( spl0_131
    | spl0_130
    | spl0_120
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f205,f799,f860,f864]) ).

fof(f799,plain,
    ( spl0_120
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f1001,plain,
    ( spl0_135
    | spl0_158
    | spl0_119
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f205,f794,f999,f882]) ).

fof(f794,plain,
    ( spl0_119
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f995,plain,
    ( spl0_138
    | spl0_154
    | spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f205,f724,f970,f894]) ).

fof(f724,plain,
    ( spl0_105
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c2_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f994,plain,
    ( spl0_157
    | spl0_139
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f205,f709,f898,f992]) ).

fof(f709,plain,
    ( spl0_102
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f195,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f990,plain,
    ( spl0_130
    | spl0_152
    | spl0_104
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f205,f719,f962,f860]) ).

fof(f719,plain,
    ( spl0_104
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f985,plain,
    ( spl0_131
    | spl0_136
    | spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f205,f724,f886,f864]) ).

fof(f193,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f984,plain,
    ( spl0_130
    | spl0_154
    | spl0_89
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f205,f644,f970,f860]) ).

fof(f644,plain,
    ( spl0_89
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp30
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f983,plain,
    ( spl0_138
    | spl0_146
    | spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f205,f639,f930,f894]) ).

fof(f639,plain,
    ( spl0_88
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f982,plain,
    ( spl0_155
    | spl0_143
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f205,f634,f917,f979]) ).

fof(f634,plain,
    ( spl0_87
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f981,plain,
    ( spl0_155
    | spl0_140
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f205,f534,f904,f979]) ).

fof(f534,plain,
    ( spl0_67
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f197,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f977,plain,
    ( spl0_134
    | spl0_131
    | spl0_36
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f205,f379,f864,f876]) ).

fof(f379,plain,
    ( spl0_36
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f976,plain,
    ( spl0_135
    | spl0_131
    | spl0_32
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f205,f359,f864,f882]) ).

fof(f359,plain,
    ( spl0_32
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f974,plain,
    ( spl0_135
    | spl0_139
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f205,f369,f898,f882]) ).

fof(f369,plain,
    ( spl0_34
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp25
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f973,plain,
    ( spl0_135
    | spl0_132
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f205,f349,f868,f882]) ).

fof(f349,plain,
    ( spl0_30
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f972,plain,
    ( spl0_154
    | spl0_143
    | spl0_32
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f205,f359,f917,f970]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f968,plain,
    ( spl0_140
    | spl0_152
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f205,f354,f962,f904]) ).

fof(f354,plain,
    ( spl0_31
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f967,plain,
    ( spl0_152
    | spl0_153
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f205,f239,f965,f962]) ).

fof(f239,plain,
    ( spl0_8
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f196,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp26
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f960,plain,
    ( spl0_138
    | spl0_118
    | spl0_103
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f205,f714,f789,f894]) ).

fof(f789,plain,
    ( spl0_118
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f714,plain,
    ( spl0_103
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f959,plain,
    ( spl0_132
    | spl0_119
    | spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f205,f724,f794,f868]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp14
      | ~ c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f958,plain,
    ( spl0_151
    | spl0_102
    | spl0_104
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f205,f719,f709,f956]) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f954,plain,
    ( spl0_150
    | spl0_104
    | spl0_103
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f205,f714,f719,f952]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp19
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f950,plain,
    ( spl0_137
    | spl0_105
    | spl0_103
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f205,f714,f724,f890]) ).

fof(f162,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp1
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f945,plain,
    ( spl0_148
    | spl0_103
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f205,f629,f714,f943]) ).

fof(f629,plain,
    ( spl0_86
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp4
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f941,plain,
    ( spl0_130
    | spl0_102
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f205,f629,f709,f860]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp12
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f939,plain,
    ( spl0_137
    | spl0_103
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f205,f634,f714,f890]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp4
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f937,plain,
    ( spl0_147
    | spl0_104
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f205,f519,f719,f935]) ).

fof(f519,plain,
    ( spl0_64
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f170,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp19
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f933,plain,
    ( spl0_139
    | spl0_89
    | spl0_66
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f205,f529,f644,f898]) ).

fof(f529,plain,
    ( spl0_66
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f169,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp30
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f932,plain,
    ( spl0_146
    | spl0_89
    | spl0_65
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f205,f524,f644,f930]) ).

fof(f524,plain,
    ( spl0_65
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp30
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f923,plain,
    ( spl0_144
    | spl0_63
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f205,f519,f514,f921]) ).

fof(f514,plain,
    ( spl0_63
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp6
      | ~ c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f919,plain,
    ( spl0_143
    | spl0_65
    | spl0_66
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f205,f529,f524,f917]) ).

fof(f167,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp21
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f915,plain,
    ( spl0_142
    | spl0_119
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f205,f354,f794,f913]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp14
      | ~ c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f911,plain,
    ( spl0_130
    | spl0_120
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f205,f374,f799,f860]) ).

fof(f374,plain,
    ( spl0_35
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp8
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f910,plain,
    ( spl0_141
    | spl0_119
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f205,f354,f794,f908]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f901,plain,
    ( spl0_134
    | spl0_102
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f205,f349,f709,f876]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f900,plain,
    ( spl0_139
    | spl0_103
    | spl0_37
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f205,f384,f714,f898]) ).

fof(f384,plain,
    ( spl0_37
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f168,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp4
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f896,plain,
    ( spl0_138
    | spl0_87
    | spl0_37
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f205,f384,f634,f894]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp3
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f888,plain,
    ( spl0_136
    | spl0_67
    | spl0_37
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f205,f384,f534,f886]) ).

fof(f171,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp18
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f880,plain,
    ( spl0_133
    | spl0_32
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f205,f369,f359,f872]) ).

fof(f174,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp23
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f879,plain,
    ( spl0_134
    | spl0_88
    | spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f205,f244,f639,f876]) ).

fof(f244,plain,
    ( spl0_9
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f878,plain,
    ( spl0_134
    | spl0_63
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f205,f249,f514,f876]) ).

fof(f249,plain,
    ( spl0_10
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp6
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f874,plain,
    ( spl0_133
    | spl0_9
    | spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f205,f234,f244,f872]) ).

fof(f234,plain,
    ( spl0_7
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f175,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp27
      | hskp9
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f862,plain,
    ( spl0_130
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f205,f254,f860]) ).

fof(f254,plain,
    ( spl0_11
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f856,plain,
    ( spl0_119
    | spl0_87
    | spl0_62 ),
    inference(avatar_split_clause,[],[f43,f509,f634,f794]) ).

fof(f509,plain,
    ( spl0_62
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f43,axiom,
    ( hskp22
    | hskp3
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f854,plain,
    ( spl0_89
    | spl0_63
    | spl0_30 ),
    inference(avatar_split_clause,[],[f37,f349,f514,f644]) ).

fof(f37,axiom,
    ( hskp11
    | hskp6
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f853,plain,
    ( spl0_119
    | spl0_105
    | spl0_11 ),
    inference(avatar_split_clause,[],[f36,f254,f724,f794]) ).

fof(f36,axiom,
    ( hskp20
    | hskp1
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f850,plain,
    ( spl0_88
    | spl0_66
    | spl0_8 ),
    inference(avatar_split_clause,[],[f35,f239,f529,f639]) ).

fof(f35,axiom,
    ( hskp26
    | hskp16
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f847,plain,
    ( spl0_129
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f73,f794,f844]) ).

fof(f73,axiom,
    ( ~ hskp14
    | c3_1(a2302) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f842,plain,
    ( spl0_128
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f91,f789,f839]) ).

fof(f91,axiom,
    ( ~ hskp0
    | c3_1(a2276) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f837,plain,
    ( spl0_127
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f79,f799,f834]) ).

fof(f79,axiom,
    ( ~ hskp8
    | c0_1(a2287) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f832,plain,
    ( spl0_126
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f80,f799,f829]) ).

fof(f80,axiom,
    ( ~ hskp8
    | c2_1(a2287) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f827,plain,
    ( spl0_125
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f72,f794,f824]) ).

fof(f72,axiom,
    ( ~ hskp14
    | c2_1(a2302) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f822,plain,
    ( spl0_124
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f90,f789,f819]) ).

fof(f90,axiom,
    ( ~ hskp0
    | c1_1(a2276) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f817,plain,
    ( ~ spl0_123
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f115,f794,f814]) ).

fof(f115,axiom,
    ( ~ hskp14
    | ~ c0_1(a2302) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f812,plain,
    ( ~ spl0_122
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f139,f789,f809]) ).

fof(f139,axiom,
    ( ~ hskp0
    | ~ c0_1(a2276) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f797,plain,
    ( spl0_1
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f18,f794,f205]) ).

fof(f18,axiom,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f787,plain,
    ( spl0_117
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f75,f709,f784]) ).

fof(f75,axiom,
    ( ~ hskp12
    | c0_1(a2295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f782,plain,
    ( spl0_116
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f88,f724,f779]) ).

fof(f88,axiom,
    ( ~ hskp1
    | c0_1(a2277) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f777,plain,
    ( spl0_115
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f84,f714,f774]) ).

fof(f84,axiom,
    ( ~ hskp4
    | c2_1(a2282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f772,plain,
    ( spl0_114
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f89,f724,f769]) ).

fof(f89,axiom,
    ( ~ hskp1
    | c1_1(a2277) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f767,plain,
    ( spl0_113
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f68,f719,f764]) ).

fof(f68,axiom,
    ( ~ hskp19
    | c1_1(a2316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f762,plain,
    ( ~ spl0_112
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f119,f709,f759]) ).

fof(f119,axiom,
    ( ~ hskp12
    | ~ c3_1(a2295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f757,plain,
    ( ~ spl0_111
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f105,f719,f754]) ).

fof(f105,axiom,
    ( ~ hskp19
    | ~ c3_1(a2316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f752,plain,
    ( ~ spl0_110
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f134,f714,f749]) ).

fof(f134,axiom,
    ( ~ hskp4
    | ~ c3_1(a2282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f747,plain,
    ( ~ spl0_109
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f133,f714,f744]) ).

fof(f133,axiom,
    ( ~ hskp4
    | ~ c0_1(a2282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f742,plain,
    ( ~ spl0_108
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f138,f724,f739]) ).

fof(f138,axiom,
    ( ~ hskp1
    | ~ c2_1(a2277) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f737,plain,
    ( ~ spl0_107
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f104,f719,f734]) ).

fof(f104,axiom,
    ( ~ hskp19
    | ~ c2_1(a2316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f732,plain,
    ( ~ spl0_106
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f118,f709,f729]) ).

fof(f118,axiom,
    ( ~ hskp12
    | ~ c1_1(a2295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f707,plain,
    ( spl0_101
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f49,f644,f704]) ).

fof(f49,axiom,
    ( ~ hskp30
    | c3_1(a2315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f702,plain,
    ( spl0_100
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f55,f639,f699]) ).

fof(f55,axiom,
    ( ~ hskp28
    | c3_1(a2278) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f697,plain,
    ( spl0_99
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f86,f634,f694]) ).

fof(f86,axiom,
    ( ~ hskp3
    | c3_1(a2280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f692,plain,
    ( spl0_98
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f53,f639,f689]) ).

fof(f53,axiom,
    ( ~ hskp28
    | c0_1(a2278) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f687,plain,
    ( spl0_97
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f48,f644,f684]) ).

fof(f48,axiom,
    ( ~ hskp30
    | c2_1(a2315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f682,plain,
    ( spl0_96
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f74,f629,f679]) ).

fof(f74,axiom,
    ( ~ hskp13
    | c2_1(a2299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f677,plain,
    ( spl0_95
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f85,f634,f674]) ).

fof(f85,axiom,
    ( ~ hskp3
    | c1_1(a2280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f672,plain,
    ( spl0_94
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f47,f644,f669]) ).

fof(f47,axiom,
    ( ~ hskp30
    | c1_1(a2315) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f667,plain,
    ( spl0_93
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f54,f639,f664]) ).

fof(f54,axiom,
    ( ~ hskp28
    | c1_1(a2278) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f662,plain,
    ( ~ spl0_92
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f117,f629,f659]) ).

fof(f117,axiom,
    ( ~ hskp13
    | ~ c3_1(a2299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f657,plain,
    ( ~ spl0_91
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f135,f634,f654]) ).

fof(f135,axiom,
    ( ~ hskp3
    | ~ c2_1(a2280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f652,plain,
    ( ~ spl0_90
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f116,f629,f649]) ).

fof(f116,axiom,
    ( ~ hskp13
    | ~ c1_1(a2299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f637,plain,
    ( spl0_1
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f29,f634,f205]) ).

fof(f29,axiom,
    ( ~ hskp3
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f627,plain,
    ( spl0_85
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f69,f534,f624]) ).

fof(f69,axiom,
    ( ~ hskp18
    | c3_1(a2308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f622,plain,
    ( spl0_84
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f82,f514,f619]) ).

fof(f82,axiom,
    ( ~ hskp6
    | c0_1(a2285) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f617,plain,
    ( spl0_83
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f64,f509,f614]) ).

fof(f64,axiom,
    ( ~ hskp22
    | c2_1(a2325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f612,plain,
    ( spl0_82
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f81,f519,f609]) ).

fof(f81,axiom,
    ( ~ hskp7
    | c1_1(a2286) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f607,plain,
    ( spl0_81
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f65,f524,f604]) ).

fof(f65,axiom,
    ( ~ hskp21
    | c1_1(a2324) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f602,plain,
    ( spl0_80
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f83,f514,f599]) ).

fof(f83,axiom,
    ( ~ hskp6
    | c1_1(a2285) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f597,plain,
    ( ~ spl0_79
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f102,f524,f594]) ).

fof(f102,axiom,
    ( ~ hskp21
    | ~ c3_1(a2324) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f592,plain,
    ( ~ spl0_78
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f129,f514,f589]) ).

fof(f129,axiom,
    ( ~ hskp6
    | ~ c3_1(a2285) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f587,plain,
    ( ~ spl0_77
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f113,f529,f584]) ).

fof(f113,axiom,
    ( ~ hskp16
    | ~ c3_1(a2304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f582,plain,
    ( ~ spl0_76
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f101,f524,f579]) ).

fof(f101,axiom,
    ( ~ hskp21
    | ~ c0_1(a2324) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f577,plain,
    ( ~ spl0_75
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f99,f509,f574]) ).

fof(f99,axiom,
    ( ~ hskp22
    | ~ c0_1(a2325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f572,plain,
    ( ~ spl0_74
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f111,f529,f569]) ).

fof(f111,axiom,
    ( ~ hskp16
    | ~ c0_1(a2304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f562,plain,
    ( ~ spl0_72
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f107,f534,f559]) ).

fof(f107,axiom,
    ( ~ hskp18
    | ~ c2_1(a2308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f557,plain,
    ( ~ spl0_71
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f112,f529,f554]) ).

fof(f112,axiom,
    ( ~ hskp16
    | ~ c2_1(a2304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f552,plain,
    ( ~ spl0_70
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f128,f519,f549]) ).

fof(f128,axiom,
    ( ~ hskp7
    | ~ c2_1(a2286) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f542,plain,
    ( ~ spl0_68
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f106,f534,f539]) ).

fof(f106,axiom,
    ( ~ hskp18
    | ~ c1_1(a2308) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f512,plain,
    ( spl0_1
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f10,f509,f205]) ).

fof(f10,axiom,
    ( ~ hskp22
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f502,plain,
    ( spl0_60
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f63,f359,f499]) ).

fof(f63,axiom,
    ( ~ hskp23
    | c3_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f497,plain,
    ( spl0_59
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f60,f369,f494]) ).

fof(f60,axiom,
    ( ~ hskp25
    | c3_1(a2342) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f487,plain,
    ( spl0_57
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f87,f384,f484]) ).

fof(f87,axiom,
    ( ~ hskp2
    | c0_1(a2279) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f482,plain,
    ( spl0_56
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f50,f374,f479]) ).

fof(f50,axiom,
    ( ~ hskp29
    | c0_1(a2309) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f477,plain,
    ( spl0_55
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f59,f369,f474]) ).

fof(f59,axiom,
    ( ~ hskp25
    | c0_1(a2342) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f472,plain,
    ( spl0_54
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f76,f349,f469]) ).

fof(f76,axiom,
    ( ~ hskp11
    | c0_1(a2294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f467,plain,
    ( spl0_53
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f52,f374,f464]) ).

fof(f52,axiom,
    ( ~ hskp29
    | c2_1(a2309) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f457,plain,
    ( ~ spl0_51
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f110,f354,f454]) ).

fof(f110,axiom,
    ( ~ hskp17
    | ~ c3_1(a2306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f447,plain,
    ( ~ spl0_49
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f137,f384,f444]) ).

fof(f137,axiom,
    ( ~ hskp2
    | ~ c3_1(a2279) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f442,plain,
    ( ~ spl0_48
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f130,f379,f439]) ).

fof(f130,axiom,
    ( ~ hskp5
    | ~ c0_1(a2284) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f437,plain,
    ( ~ spl0_47
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f97,f359,f434]) ).

fof(f97,axiom,
    ( ~ hskp23
    | ~ c0_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f432,plain,
    ( ~ spl0_46
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f95,f369,f429]) ).

fof(f95,axiom,
    ( ~ hskp25
    | ~ c2_1(a2342) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f427,plain,
    ( ~ spl0_45
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f136,f384,f424]) ).

fof(f136,axiom,
    ( ~ hskp2
    | ~ c2_1(a2279) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f422,plain,
    ( ~ spl0_44
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f98,f359,f419]) ).

fof(f98,axiom,
    ( ~ hskp23
    | ~ c2_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f417,plain,
    ( ~ spl0_43
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f109,f354,f414]) ).

fof(f109,axiom,
    ( ~ hskp17
    | ~ c2_1(a2306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f412,plain,
    ( ~ spl0_42
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f121,f349,f409]) ).

fof(f121,axiom,
    ( ~ hskp11
    | ~ c2_1(a2294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f407,plain,
    ( ~ spl0_41
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f108,f354,f404]) ).

fof(f108,axiom,
    ( ~ hskp17
    | ~ c1_1(a2306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f397,plain,
    ( ~ spl0_39
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f131,f379,f394]) ).

fof(f131,axiom,
    ( ~ hskp5
    | ~ c1_1(a2284) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f392,plain,
    ( ~ spl0_38
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f120,f349,f389]) ).

fof(f120,axiom,
    ( ~ hskp11
    | ~ c1_1(a2294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f342,plain,
    ( spl0_28
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f67,f254,f339]) ).

fof(f67,axiom,
    ( ~ hskp20
    | c3_1(a2323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f337,plain,
    ( spl0_27
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f58,f239,f334]) ).

fof(f58,axiom,
    ( ~ hskp26
    | c3_1(a2345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f327,plain,
    ( spl0_25
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f77,f249,f324]) ).

fof(f77,axiom,
    ( ~ hskp10
    | c0_1(a2293) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f317,plain,
    ( spl0_23
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f66,f254,f314]) ).

fof(f66,axiom,
    ( ~ hskp20
    | c2_1(a2323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f312,plain,
    ( spl0_22
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f57,f234,f309]) ).

fof(f57,axiom,
    ( ~ hskp27
    | c2_1(a2367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f302,plain,
    ( spl0_20
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f56,f234,f299]) ).

fof(f56,axiom,
    ( ~ hskp27
    | c1_1(a2367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f297,plain,
    ( ~ spl0_19
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f122,f249,f294]) ).

fof(f122,axiom,
    ( ~ hskp10
    | ~ c3_1(a2293) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f292,plain,
    ( ~ spl0_18
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f93,f239,f289]) ).

fof(f93,axiom,
    ( ~ hskp26
    | ~ c0_1(a2345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f287,plain,
    ( ~ spl0_17
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f92,f234,f284]) ).

fof(f92,axiom,
    ( ~ hskp27
    | ~ c0_1(a2367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f282,plain,
    ( ~ spl0_16
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f123,f244,f279]) ).

fof(f123,axiom,
    ( ~ hskp9
    | ~ c0_1(a2291) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f277,plain,
    ( ~ spl0_15
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f125,f244,f274]) ).

fof(f125,axiom,
    ( ~ hskp9
    | ~ c2_1(a2291) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f272,plain,
    ( ~ spl0_14
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f94,f239,f269]) ).

fof(f94,axiom,
    ( ~ hskp26
    | ~ c1_1(a2345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f267,plain,
    ( ~ spl0_13
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f124,f244,f264]) ).

fof(f124,axiom,
    ( ~ hskp9
    | ~ c1_1(a2291) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f262,plain,
    ( ~ spl0_12
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f103,f254,f259]) ).

fof(f103,axiom,
    ( ~ hskp20
    | ~ c1_1(a2323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : SYN487-1 : TPTP v8.1.2. Released v2.1.0.
% 0.05/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34  % Computer : n026.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Tue Apr 30 02:07:25 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.11/0.34  % (22994)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.36  % (23001)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36  % (22996)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36  % (22998)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.36  % (23000)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.36  % (22999)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.36  % (22997)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.36  % (22995)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [3]
% 0.11/0.37  TRYING [1]
% 0.11/0.37  TRYING [2]
% 0.11/0.37  TRYING [2]
% 0.11/0.37  TRYING [3]
% 0.11/0.37  TRYING [3]
% 0.11/0.37  TRYING [3]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [4]
% 0.17/0.38  TRYING [5]
% 0.17/0.39  TRYING [5]
% 0.17/0.39  TRYING [5]
% 0.17/0.40  TRYING [5]
% 0.17/0.41  % (23000)First to succeed.
% 0.17/0.42  % (22997)Also succeeded, but the first one will report.
% 0.17/0.42  % (23000)Refutation found. Thanks to Tanya!
% 0.17/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.42  % (23000)------------------------------
% 0.17/0.42  % (23000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.42  % (23000)Termination reason: Refutation
% 0.17/0.42  
% 0.17/0.42  % (23000)Memory used [KB]: 2221
% 0.17/0.42  % (23000)Time elapsed: 0.058 s
% 0.17/0.42  % (23000)Instructions burned: 112 (million)
% 0.17/0.42  % (23000)------------------------------
% 0.17/0.42  % (23000)------------------------------
% 0.17/0.42  % (22994)Success in time 0.077 s
%------------------------------------------------------------------------------