TSTP Solution File: SYN505-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN505-1 : 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 : n002.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 : Sun May  5 12:11:08 EDT 2024

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  272
% Syntax   : Number of formulae    :  791 (   1 unt;   0 def)
%            Number of atoms       : 2667 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3351 (1475   ~;1731   |;   0   &)
%                                         ( 145 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  178 ( 177 usr; 174 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  157 ( 157   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3779,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f247,f252,f277,f297,f307,f317,f322,f327,f332,f347,f352,f357,f407,f412,f422,f427,f432,f442,f447,f452,f457,f462,f467,f472,f477,f482,f487,f522,f527,f532,f537,f542,f547,f552,f557,f562,f567,f572,f577,f582,f587,f592,f637,f647,f652,f657,f662,f667,f672,f677,f682,f692,f697,f702,f707,f712,f717,f722,f727,f732,f737,f742,f747,f752,f757,f767,f772,f782,f802,f807,f812,f817,f822,f827,f832,f842,f847,f854,f855,f856,f858,f859,f860,f862,f863,f875,f879,f887,f888,f896,f901,f902,f909,f910,f915,f921,f925,f929,f939,f943,f947,f952,f953,f957,f966,f970,f971,f982,f990,f991,f992,f993,f994,f998,f1001,f1003,f1004,f1005,f1007,f1013,f1014,f1015,f1016,f1017,f1023,f1024,f1045,f1079,f1187,f1215,f1220,f1230,f1235,f1324,f1339,f1359,f1433,f1574,f1733,f1740,f1751,f1899,f1978,f2016,f2115,f2135,f2233,f2304,f2341,f2344,f2358,f2380,f2396,f2415,f2442,f2445,f2522,f2559,f2626,f2663,f2671,f2778,f2831,f2869,f2910,f2920,f2954,f3068,f3085,f3094,f3096,f3098,f3111,f3112,f3146,f3152,f3170,f3178,f3295,f3301,f3327,f3331,f3332,f3335,f3409,f3426,f3433,f3462,f3464,f3490,f3498,f3542,f3545,f3567,f3575,f3605,f3608,f3620,f3623,f3649,f3661,f3663,f3676,f3678,f3694,f3698,f3769,f3778]) ).

fof(f3778,plain,
    ( ~ spl0_106
    | ~ spl0_112
    | ~ spl0_133
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f3777]) ).

fof(f3777,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_112
    | ~ spl0_133
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3776,f736]) ).

fof(f736,plain,
    ( c0_1(a462)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f734,plain,
    ( spl0_106
  <=> c0_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3776,plain,
    ( ~ c0_1(a462)
    | ~ spl0_112
    | ~ spl0_133
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f3775,f766]) ).

fof(f766,plain,
    ( c2_1(a462)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f764,plain,
    ( spl0_112
  <=> c2_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3775,plain,
    ( ~ c2_1(a462)
    | ~ c0_1(a462)
    | ~ spl0_133
    | ~ spl0_170 ),
    inference(resolution,[],[f1861,f878]) ).

fof(f878,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f877,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1861,plain,
    ( c3_1(a462)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1859]) ).

fof(f1859,plain,
    ( spl0_170
  <=> c3_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3769,plain,
    ( spl0_179
    | spl0_98
    | ~ spl0_105
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3768,f885,f729,f694,f2837]) ).

fof(f2837,plain,
    ( spl0_179
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f694,plain,
    ( spl0_98
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f729,plain,
    ( spl0_105
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f885,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3768,plain,
    ( c1_1(a471)
    | spl0_98
    | ~ spl0_105
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3763,f731]) ).

fof(f731,plain,
    ( c0_1(a471)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f3763,plain,
    ( ~ c0_1(a471)
    | c1_1(a471)
    | spl0_98
    | ~ spl0_135 ),
    inference(resolution,[],[f886,f696]) ).

fof(f696,plain,
    ( ~ c2_1(a471)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f886,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f3698,plain,
    ( ~ spl0_106
    | ~ spl0_112
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3697]) ).

fof(f3697,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_112
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3689,f766]) ).

fof(f3689,plain,
    ( ~ c2_1(a462)
    | ~ spl0_106
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(resolution,[],[f3679,f736]) ).

fof(f3679,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f964,f878]) ).

fof(f964,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f963,plain,
    ( spl0_151
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3694,plain,
    ( ~ spl0_168
    | ~ spl0_29
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3683,f963,f877,f349,f1334]) ).

fof(f1334,plain,
    ( spl0_168
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f349,plain,
    ( spl0_29
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f3683,plain,
    ( ~ c2_1(a559)
    | ~ spl0_29
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(resolution,[],[f3679,f351]) ).

fof(f351,plain,
    ( c0_1(a559)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f3678,plain,
    ( spl0_178
    | spl0_97
    | ~ spl0_108
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3677,f937,f744,f689,f2594]) ).

fof(f2594,plain,
    ( spl0_178
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f689,plain,
    ( spl0_97
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f744,plain,
    ( spl0_108
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f937,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3677,plain,
    ( c0_1(a472)
    | spl0_97
    | ~ spl0_108
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3668,f746]) ).

fof(f746,plain,
    ( c3_1(a472)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f3668,plain,
    ( ~ c3_1(a472)
    | c0_1(a472)
    | spl0_97
    | ~ spl0_145 ),
    inference(resolution,[],[f691,f938]) ).

fof(f938,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f691,plain,
    ( ~ c2_1(a472)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f3676,plain,
    ( ~ spl0_178
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f3673,f959,f744,f709,f2594]) ).

fof(f709,plain,
    ( spl0_101
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f959,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f3673,plain,
    ( ~ c0_1(a472)
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f3671,f711]) ).

fof(f711,plain,
    ( c1_1(a472)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f3671,plain,
    ( ~ c1_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_108
    | ~ spl0_150 ),
    inference(resolution,[],[f746,f960]) ).

fof(f960,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f3663,plain,
    ( ~ spl0_179
    | ~ spl0_105
    | ~ spl0_107
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f3662,f959,f739,f729,f2837]) ).

fof(f739,plain,
    ( spl0_107
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3662,plain,
    ( ~ c1_1(a471)
    | ~ spl0_105
    | ~ spl0_107
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f3641,f731]) ).

fof(f3641,plain,
    ( ~ c1_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_107
    | ~ spl0_150 ),
    inference(resolution,[],[f960,f741]) ).

fof(f741,plain,
    ( c3_1(a471)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f3661,plain,
    ( spl0_165
    | spl0_22
    | ~ spl0_30
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3437,f950,f354,f314,f1168]) ).

fof(f1168,plain,
    ( spl0_165
  <=> c3_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f314,plain,
    ( spl0_22
  <=> c2_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f354,plain,
    ( spl0_30
  <=> c0_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f950,plain,
    ( spl0_148
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3437,plain,
    ( c2_1(a525)
    | c3_1(a525)
    | ~ spl0_30
    | ~ spl0_148 ),
    inference(resolution,[],[f951,f356]) ).

fof(f356,plain,
    ( c0_1(a525)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f951,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f3649,plain,
    ( ~ spl0_25
    | ~ spl0_30
    | ~ spl0_150
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3648]) ).

fof(f3648,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_30
    | ~ spl0_150
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3647,f356]) ).

fof(f3647,plain,
    ( ~ c0_1(a525)
    | ~ spl0_25
    | ~ spl0_150
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3637,f331]) ).

fof(f331,plain,
    ( c1_1(a525)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl0_25
  <=> c1_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f3637,plain,
    ( ~ c1_1(a525)
    | ~ c0_1(a525)
    | ~ spl0_150
    | ~ spl0_165 ),
    inference(resolution,[],[f960,f1170]) ).

fof(f1170,plain,
    ( c3_1(a525)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1168]) ).

fof(f3623,plain,
    ( spl0_168
    | spl0_20
    | ~ spl0_29
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3622,f950,f349,f304,f1334]) ).

fof(f304,plain,
    ( spl0_20
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f3622,plain,
    ( c2_1(a559)
    | spl0_20
    | ~ spl0_29
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3621,f306]) ).

fof(f306,plain,
    ( ~ c3_1(a559)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f3621,plain,
    ( c2_1(a559)
    | c3_1(a559)
    | ~ spl0_29
    | ~ spl0_148 ),
    inference(resolution,[],[f351,f951]) ).

fof(f3620,plain,
    ( ~ spl0_168
    | ~ spl0_24
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3618,f941,f927,f324,f1334]) ).

fof(f324,plain,
    ( spl0_24
  <=> c1_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f927,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f941,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3618,plain,
    ( ~ c2_1(a559)
    | ~ spl0_24
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(resolution,[],[f326,f3465]) ).

fof(f3465,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f942,f928]) ).

fof(f928,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f942,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f326,plain,
    ( c1_1(a559)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f3608,plain,
    ( ~ spl0_55
    | spl0_44
    | ~ spl0_145
    | spl0_177 ),
    inference(avatar_split_clause,[],[f3607,f2585,f937,f424,f479]) ).

fof(f479,plain,
    ( spl0_55
  <=> c3_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f424,plain,
    ( spl0_44
  <=> c0_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2585,plain,
    ( spl0_177
  <=> c2_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f3607,plain,
    ( ~ c3_1(a545)
    | spl0_44
    | ~ spl0_145
    | spl0_177 ),
    inference(subsumption_resolution,[],[f3580,f426]) ).

fof(f426,plain,
    ( ~ c0_1(a545)
    | spl0_44 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f3580,plain,
    ( ~ c3_1(a545)
    | c0_1(a545)
    | ~ spl0_145
    | spl0_177 ),
    inference(resolution,[],[f938,f2587]) ).

fof(f2587,plain,
    ( ~ c2_1(a545)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f2585]) ).

fof(f3605,plain,
    ( spl0_64
    | spl0_68
    | ~ spl0_75
    | ~ spl0_135
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f3604]) ).

fof(f3604,plain,
    ( $false
    | spl0_64
    | spl0_68
    | ~ spl0_75
    | ~ spl0_135
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3603,f2971]) ).

fof(f2971,plain,
    ( ~ c0_1(a482)
    | spl0_64
    | spl0_68
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2965,f526]) ).

fof(f526,plain,
    ( ~ c1_1(a482)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl0_64
  <=> c1_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2965,plain,
    ( ~ c0_1(a482)
    | c1_1(a482)
    | spl0_68
    | ~ spl0_135 ),
    inference(resolution,[],[f886,f546]) ).

fof(f546,plain,
    ( ~ c2_1(a482)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl0_68
  <=> c2_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3603,plain,
    ( c0_1(a482)
    | spl0_68
    | ~ spl0_75
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3586,f581]) ).

fof(f581,plain,
    ( c3_1(a482)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f579,plain,
    ( spl0_75
  <=> c3_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3586,plain,
    ( ~ c3_1(a482)
    | c0_1(a482)
    | spl0_68
    | ~ spl0_145 ),
    inference(resolution,[],[f938,f546]) ).

fof(f3575,plain,
    ( ~ spl0_107
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_158
    | ~ spl0_179 ),
    inference(avatar_contradiction_clause,[],[f3574]) ).

fof(f3574,plain,
    ( $false
    | ~ spl0_107
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_158
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f3565,f741]) ).

fof(f3565,plain,
    ( ~ c3_1(a471)
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_158
    | ~ spl0_179 ),
    inference(resolution,[],[f3549,f2839]) ).

fof(f2839,plain,
    ( c1_1(a471)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f2837]) ).

fof(f3549,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f997,f3465]) ).

fof(f997,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f996,plain,
    ( spl0_158
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3567,plain,
    ( ~ spl0_50
    | ~ spl0_56
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3566]) ).

fof(f3566,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3557,f486]) ).

fof(f486,plain,
    ( c3_1(a529)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl0_56
  <=> c3_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3557,plain,
    ( ~ c3_1(a529)
    | ~ spl0_50
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_158 ),
    inference(resolution,[],[f3549,f456]) ).

fof(f456,plain,
    ( c1_1(a529)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl0_50
  <=> c1_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3545,plain,
    ( spl0_88
    | ~ spl0_106
    | ~ spl0_131
    | spl0_170 ),
    inference(avatar_contradiction_clause,[],[f3544]) ).

fof(f3544,plain,
    ( $false
    | spl0_88
    | ~ spl0_106
    | ~ spl0_131
    | spl0_170 ),
    inference(subsumption_resolution,[],[f3543,f646]) ).

fof(f646,plain,
    ( ~ c1_1(a462)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl0_88
  <=> c1_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3543,plain,
    ( c1_1(a462)
    | ~ spl0_106
    | ~ spl0_131
    | spl0_170 ),
    inference(subsumption_resolution,[],[f3517,f736]) ).

fof(f3517,plain,
    ( ~ c0_1(a462)
    | c1_1(a462)
    | ~ spl0_131
    | spl0_170 ),
    inference(resolution,[],[f870,f1860]) ).

fof(f1860,plain,
    ( ~ c3_1(a462)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1859]) ).

fof(f870,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3542,plain,
    ( spl0_119
    | spl0_121
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f3541]) ).

fof(f3541,plain,
    ( $false
    | spl0_119
    | spl0_121
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3540,f801]) ).

fof(f801,plain,
    ( ~ c1_1(a467)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f799,plain,
    ( spl0_119
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3540,plain,
    ( c1_1(a467)
    | spl0_121
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3514,f831]) ).

fof(f831,plain,
    ( c0_1(a467)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_125
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3514,plain,
    ( ~ c0_1(a467)
    | c1_1(a467)
    | spl0_121
    | ~ spl0_131 ),
    inference(resolution,[],[f870,f811]) ).

fof(f811,plain,
    ( ~ c3_1(a467)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f809,plain,
    ( spl0_121
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3498,plain,
    ( ~ spl0_113
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f3494,f1118,f941,f927,f769]) ).

fof(f769,plain,
    ( spl0_113
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1118,plain,
    ( spl0_164
  <=> c1_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f3494,plain,
    ( ~ c2_1(a478)
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_164 ),
    inference(resolution,[],[f1120,f3465]) ).

fof(f1120,plain,
    ( c1_1(a478)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f3490,plain,
    ( ~ spl0_181
    | ~ spl0_102
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3481,f941,f927,f714,f3081]) ).

fof(f3081,plain,
    ( spl0_181
  <=> c2_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f714,plain,
    ( spl0_102
  <=> c1_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3481,plain,
    ( ~ c2_1(a481)
    | ~ spl0_102
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(resolution,[],[f3465,f716]) ).

fof(f716,plain,
    ( c1_1(a481)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f3464,plain,
    ( ~ spl0_105
    | ~ spl0_107
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f3463]) ).

fof(f3463,plain,
    ( $false
    | ~ spl0_105
    | ~ spl0_107
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f3456,f741]) ).

fof(f3456,plain,
    ( ~ c3_1(a471)
    | ~ spl0_105
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(resolution,[],[f3446,f731]) ).

fof(f3446,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f960,f907]) ).

fof(f907,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f906,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3462,plain,
    ( ~ spl0_30
    | ~ spl0_139
    | ~ spl0_150
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3461]) ).

fof(f3461,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_139
    | ~ spl0_150
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3451,f1170]) ).

fof(f3451,plain,
    ( ~ c3_1(a525)
    | ~ spl0_30
    | ~ spl0_139
    | ~ spl0_150 ),
    inference(resolution,[],[f3446,f356]) ).

fof(f3433,plain,
    ( spl0_94
    | ~ spl0_102
    | ~ spl0_130
    | spl0_181 ),
    inference(avatar_contradiction_clause,[],[f3432]) ).

fof(f3432,plain,
    ( $false
    | spl0_94
    | ~ spl0_102
    | ~ spl0_130
    | spl0_181 ),
    inference(subsumption_resolution,[],[f3431,f676]) ).

fof(f676,plain,
    ( ~ c3_1(a481)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f674,plain,
    ( spl0_94
  <=> c3_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3431,plain,
    ( c3_1(a481)
    | ~ spl0_102
    | ~ spl0_130
    | spl0_181 ),
    inference(subsumption_resolution,[],[f3429,f716]) ).

fof(f3429,plain,
    ( ~ c1_1(a481)
    | c3_1(a481)
    | ~ spl0_130
    | spl0_181 ),
    inference(resolution,[],[f3083,f866]) ).

fof(f866,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f865,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3083,plain,
    ( ~ c2_1(a481)
    | spl0_181 ),
    inference(avatar_component_clause,[],[f3081]) ).

fof(f3426,plain,
    ( spl0_98
    | ~ spl0_105
    | ~ spl0_107
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3425]) ).

fof(f3425,plain,
    ( $false
    | spl0_98
    | ~ spl0_105
    | ~ spl0_107
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3424,f741]) ).

fof(f3424,plain,
    ( ~ c3_1(a471)
    | spl0_98
    | ~ spl0_105
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3417,f731]) ).

fof(f3417,plain,
    ( ~ c0_1(a471)
    | ~ c3_1(a471)
    | spl0_98
    | ~ spl0_147 ),
    inference(resolution,[],[f946,f696]) ).

fof(f946,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f945,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3409,plain,
    ( ~ spl0_180
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3408,f927,f484,f454,f2928]) ).

fof(f2928,plain,
    ( spl0_180
  <=> c2_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f3408,plain,
    ( ~ c2_1(a529)
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3401,f486]) ).

fof(f3401,plain,
    ( ~ c2_1(a529)
    | ~ c3_1(a529)
    | ~ spl0_50
    | ~ spl0_143 ),
    inference(resolution,[],[f928,f456]) ).

fof(f3335,plain,
    ( spl0_178
    | spl0_97
    | ~ spl0_101
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3255,f919,f709,f689,f2594]) ).

fof(f919,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3255,plain,
    ( c2_1(a472)
    | c0_1(a472)
    | ~ spl0_101
    | ~ spl0_141 ),
    inference(resolution,[],[f920,f711]) ).

fof(f920,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f3332,plain,
    ( spl0_92
    | spl0_181
    | ~ spl0_102
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3254,f919,f714,f3081,f664]) ).

fof(f664,plain,
    ( spl0_92
  <=> c0_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f3254,plain,
    ( c2_1(a481)
    | c0_1(a481)
    | ~ spl0_102
    | ~ spl0_141 ),
    inference(resolution,[],[f920,f716]) ).

fof(f3331,plain,
    ( spl0_44
    | ~ spl0_51
    | ~ spl0_141
    | spl0_177 ),
    inference(avatar_split_clause,[],[f3330,f2585,f919,f459,f424]) ).

fof(f459,plain,
    ( spl0_51
  <=> c1_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f3330,plain,
    ( c0_1(a545)
    | ~ spl0_51
    | ~ spl0_141
    | spl0_177 ),
    inference(subsumption_resolution,[],[f3249,f2587]) ).

fof(f3249,plain,
    ( c2_1(a545)
    | c0_1(a545)
    | ~ spl0_51
    | ~ spl0_141 ),
    inference(resolution,[],[f920,f461]) ).

fof(f461,plain,
    ( c1_1(a545)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f3327,plain,
    ( ~ spl0_108
    | ~ spl0_133
    | ~ spl0_147
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f3326]) ).

fof(f3326,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_133
    | ~ spl0_147
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3312,f2595]) ).

fof(f2595,plain,
    ( c0_1(a472)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f2594]) ).

fof(f3312,plain,
    ( ~ c0_1(a472)
    | ~ spl0_108
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(resolution,[],[f3297,f746]) ).

fof(f3297,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f946,f878]) ).

fof(f3301,plain,
    ( spl0_40
    | ~ spl0_52
    | ~ spl0_135
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3300]) ).

fof(f3300,plain,
    ( $false
    | spl0_40
    | ~ spl0_52
    | ~ spl0_135
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3299,f406]) ).

fof(f406,plain,
    ( ~ c1_1(a479)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl0_40
  <=> c1_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f3299,plain,
    ( c1_1(a479)
    | ~ spl0_52
    | ~ spl0_135
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3298,f466]) ).

fof(f466,plain,
    ( c0_1(a479)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl0_52
  <=> c0_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f3298,plain,
    ( ~ c0_1(a479)
    | c1_1(a479)
    | ~ spl0_135
    | spl0_174 ),
    inference(resolution,[],[f2404,f886]) ).

fof(f2404,plain,
    ( ~ c2_1(a479)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f2403]) ).

fof(f2403,plain,
    ( spl0_174
  <=> c2_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f3295,plain,
    ( ~ spl0_174
    | ~ spl0_52
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3294,f877,f474,f464,f2403]) ).

fof(f474,plain,
    ( spl0_54
  <=> c3_1(a479) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3294,plain,
    ( ~ c2_1(a479)
    | ~ spl0_52
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f3288,f466]) ).

fof(f3288,plain,
    ( ~ c2_1(a479)
    | ~ c0_1(a479)
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(resolution,[],[f476,f878]) ).

fof(f476,plain,
    ( c3_1(a479)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f3178,plain,
    ( spl0_22
    | ~ spl0_30
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3177]) ).

fof(f3177,plain,
    ( $false
    | spl0_22
    | ~ spl0_30
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3175,f356]) ).

fof(f3175,plain,
    ( ~ c0_1(a525)
    | spl0_22
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(resolution,[],[f316,f3116]) ).

fof(f3116,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f989,f886]) ).

fof(f989,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f988,plain,
    ( spl0_157
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f316,plain,
    ( ~ c2_1(a525)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f3170,plain,
    ( ~ spl0_178
    | spl0_97
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f3140,f988,f885,f689,f2594]) ).

fof(f3140,plain,
    ( ~ c0_1(a472)
    | spl0_97
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(resolution,[],[f3116,f691]) ).

fof(f3152,plain,
    ( spl0_98
    | ~ spl0_105
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3151]) ).

fof(f3151,plain,
    ( $false
    | spl0_98
    | ~ spl0_105
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3141,f731]) ).

fof(f3141,plain,
    ( ~ c0_1(a471)
    | spl0_98
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(resolution,[],[f3116,f696]) ).

fof(f3146,plain,
    ( ~ spl0_53
    | ~ spl0_135
    | ~ spl0_157
    | spl0_180 ),
    inference(avatar_contradiction_clause,[],[f3145]) ).

fof(f3145,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_135
    | ~ spl0_157
    | spl0_180 ),
    inference(subsumption_resolution,[],[f3134,f471]) ).

fof(f471,plain,
    ( c0_1(a529)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl0_53
  <=> c0_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3134,plain,
    ( ~ c0_1(a529)
    | ~ spl0_135
    | ~ spl0_157
    | spl0_180 ),
    inference(resolution,[],[f3116,f2930]) ).

fof(f2930,plain,
    ( ~ c2_1(a529)
    | spl0_180 ),
    inference(avatar_component_clause,[],[f2928]) ).

fof(f3112,plain,
    ( ~ spl0_109
    | ~ spl0_103
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3106,f941,f927,f719,f749]) ).

fof(f749,plain,
    ( spl0_109
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f719,plain,
    ( spl0_103
  <=> c1_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3106,plain,
    ( ~ c2_1(a483)
    | ~ spl0_103
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(resolution,[],[f721,f2924]) ).

fof(f2924,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f942,f928]) ).

fof(f721,plain,
    ( c1_1(a483)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f3111,plain,
    ( spl0_93
    | ~ spl0_103
    | ~ spl0_132
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3110]) ).

fof(f3110,plain,
    ( $false
    | spl0_93
    | ~ spl0_103
    | ~ spl0_132
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3105,f671]) ).

fof(f671,plain,
    ( ~ c0_1(a483)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f669,plain,
    ( spl0_93
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3105,plain,
    ( c0_1(a483)
    | ~ spl0_103
    | ~ spl0_132
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(resolution,[],[f721,f3016]) ).

fof(f3016,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_132
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f969,f2923]) ).

fof(f2923,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f977,f874]) ).

fof(f874,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f873,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f977,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl0_154
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f969,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3098,plain,
    ( spl0_44
    | ~ spl0_51
    | ~ spl0_132
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f3087,f976,f968,f873,f459,f424]) ).

fof(f3087,plain,
    ( c0_1(a545)
    | ~ spl0_51
    | ~ spl0_132
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(resolution,[],[f461,f3016]) ).

fof(f3096,plain,
    ( ~ spl0_55
    | ~ spl0_177
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3090,f927,f459,f2585,f479]) ).

fof(f3090,plain,
    ( ~ c2_1(a545)
    | ~ c3_1(a545)
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(resolution,[],[f461,f928]) ).

fof(f3094,plain,
    ( ~ spl0_177
    | ~ spl0_51
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3088,f941,f927,f459,f2585]) ).

fof(f3088,plain,
    ( ~ c2_1(a545)
    | ~ spl0_51
    | ~ spl0_143
    | ~ spl0_146 ),
    inference(resolution,[],[f461,f2924]) ).

fof(f3085,plain,
    ( spl0_94
    | ~ spl0_102
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f3071,f976,f873,f714,f674]) ).

fof(f3071,plain,
    ( c3_1(a481)
    | ~ spl0_102
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(resolution,[],[f716,f2923]) ).

fof(f3068,plain,
    ( ~ spl0_106
    | ~ spl0_112
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3067]) ).

fof(f3067,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_112
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3047,f766]) ).

fof(f3047,plain,
    ( ~ c2_1(a462)
    | ~ spl0_106
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_153 ),
    inference(resolution,[],[f3032,f736]) ).

fof(f3032,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143
    | ~ spl0_146
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f974,f2924]) ).

fof(f974,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl0_153
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2954,plain,
    ( spl0_18
    | ~ spl0_28
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2953]) ).

fof(f2953,plain,
    ( $false
    | spl0_18
    | ~ spl0_28
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2948,f296]) ).

fof(f296,plain,
    ( ~ c3_1(a500)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl0_18
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2948,plain,
    ( c3_1(a500)
    | ~ spl0_28
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(resolution,[],[f2923,f346]) ).

fof(f346,plain,
    ( c1_1(a500)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl0_28
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2920,plain,
    ( spl0_45
    | spl0_47
    | spl0_49
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2919]) ).

fof(f2919,plain,
    ( $false
    | spl0_45
    | spl0_47
    | spl0_49
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2918,f441]) ).

fof(f441,plain,
    ( ~ c3_1(a521)
    | spl0_47 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl0_47
  <=> c3_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2918,plain,
    ( c3_1(a521)
    | spl0_45
    | spl0_49
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2898,f431]) ).

fof(f431,plain,
    ( ~ c0_1(a521)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f429,plain,
    ( spl0_45
  <=> c0_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2898,plain,
    ( c0_1(a521)
    | c3_1(a521)
    | spl0_49
    | ~ spl0_142 ),
    inference(resolution,[],[f924,f451]) ).

fof(f451,plain,
    ( ~ c2_1(a521)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f449,plain,
    ( spl0_49
  <=> c2_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f924,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f923,plain,
    ( spl0_142
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2910,plain,
    ( spl0_18
    | spl0_23
    | ~ spl0_142
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2909]) ).

fof(f2909,plain,
    ( $false
    | spl0_18
    | spl0_23
    | ~ spl0_142
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2908,f296]) ).

fof(f2908,plain,
    ( c3_1(a500)
    | spl0_23
    | ~ spl0_142
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2890,f1219]) ).

fof(f1219,plain,
    ( ~ c0_1(a500)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f1217,plain,
    ( spl0_166
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2890,plain,
    ( c0_1(a500)
    | c3_1(a500)
    | spl0_23
    | ~ spl0_142 ),
    inference(resolution,[],[f924,f321]) ).

fof(f321,plain,
    ( ~ c2_1(a500)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f319,plain,
    ( spl0_23
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2869,plain,
    ( ~ spl0_101
    | ~ spl0_108
    | ~ spl0_143
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2868]) ).

fof(f2868,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_143
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2867,f746]) ).

fof(f2867,plain,
    ( ~ c3_1(a472)
    | ~ spl0_101
    | ~ spl0_143
    | ~ spl0_158 ),
    inference(resolution,[],[f2842,f711]) ).

fof(f2842,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_143
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f997,f928]) ).

fof(f2831,plain,
    ( spl0_92
    | spl0_94
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2830]) ).

fof(f2830,plain,
    ( $false
    | spl0_92
    | spl0_94
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2812,f666]) ).

fof(f666,plain,
    ( ~ c0_1(a481)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f2812,plain,
    ( c0_1(a481)
    | spl0_94
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(resolution,[],[f2799,f676]) ).

fof(f2799,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f924,f882]) ).

fof(f882,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f881,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2778,plain,
    ( ~ spl0_106
    | ~ spl0_112
    | ~ spl0_132
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2777]) ).

fof(f2777,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_112
    | ~ spl0_132
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2754,f736]) ).

fof(f2754,plain,
    ( ~ c0_1(a462)
    | ~ spl0_112
    | ~ spl0_132
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(resolution,[],[f2687,f766]) ).

fof(f2687,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f974,f2499]) ).

fof(f2499,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f960,f874]) ).

fof(f2671,plain,
    ( spl0_41
    | spl0_43
    | spl0_48
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2670]) ).

fof(f2670,plain,
    ( $false
    | spl0_41
    | spl0_43
    | spl0_48
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2669,f421]) ).

fof(f421,plain,
    ( ~ c0_1(a466)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl0_43
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2669,plain,
    ( c0_1(a466)
    | spl0_41
    | spl0_48
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2657,f411]) ).

fof(f411,plain,
    ( ~ c1_1(a466)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_41
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2657,plain,
    ( c1_1(a466)
    | c0_1(a466)
    | spl0_48
    | ~ spl0_159 ),
    inference(resolution,[],[f1010,f446]) ).

fof(f446,plain,
    ( ~ c3_1(a466)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl0_48
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1010,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1009,plain,
    ( spl0_159
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2663,plain,
    ( spl0_91
    | spl0_95
    | ~ spl0_159
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | spl0_91
    | spl0_95
    | ~ spl0_159
    | spl0_164 ),
    inference(subsumption_resolution,[],[f2661,f661]) ).

fof(f661,plain,
    ( ~ c0_1(a478)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f659,plain,
    ( spl0_91
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2661,plain,
    ( c0_1(a478)
    | spl0_95
    | ~ spl0_159
    | spl0_164 ),
    inference(subsumption_resolution,[],[f2651,f1119]) ).

fof(f1119,plain,
    ( ~ c1_1(a478)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f2651,plain,
    ( c1_1(a478)
    | c0_1(a478)
    | spl0_95
    | ~ spl0_159 ),
    inference(resolution,[],[f1010,f681]) ).

fof(f681,plain,
    ( ~ c3_1(a478)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_95
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2626,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2624,f241]) ).

fof(f241,plain,
    ( c0_1(a469)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_7
  <=> c0_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2624,plain,
    ( ~ c0_1(a469)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2615,f251]) ).

fof(f251,plain,
    ( c2_1(a469)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl0_9
  <=> c2_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2615,plain,
    ( ~ c2_1(a469)
    | ~ c0_1(a469)
    | ~ spl0_8
    | ~ spl0_133 ),
    inference(resolution,[],[f878,f246]) ).

fof(f246,plain,
    ( c3_1(a469)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl0_8
  <=> c3_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2559,plain,
    ( spl0_121
    | ~ spl0_125
    | ~ spl0_148
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2558]) ).

fof(f2558,plain,
    ( $false
    | spl0_121
    | ~ spl0_125
    | ~ spl0_148
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2540,f811]) ).

fof(f2540,plain,
    ( c3_1(a467)
    | ~ spl0_125
    | ~ spl0_148
    | ~ spl0_151 ),
    inference(resolution,[],[f2529,f831]) ).

fof(f2529,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_148
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f964,f951]) ).

fof(f2522,plain,
    ( ~ spl0_175
    | spl0_65
    | ~ spl0_72
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2470,f906,f564,f529,f2408]) ).

fof(f2408,plain,
    ( spl0_175
  <=> c3_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f529,plain,
    ( spl0_65
  <=> c1_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f564,plain,
    ( spl0_72
  <=> c0_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2470,plain,
    ( c1_1(a487)
    | ~ c3_1(a487)
    | ~ spl0_72
    | ~ spl0_139 ),
    inference(resolution,[],[f907,f566]) ).

fof(f566,plain,
    ( c0_1(a487)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f2445,plain,
    ( spl0_175
    | spl0_69
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2433,f980,f865,f549,f2408]) ).

fof(f549,plain,
    ( spl0_69
  <=> c2_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f980,plain,
    ( spl0_155
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2433,plain,
    ( c3_1(a487)
    | spl0_69
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(resolution,[],[f2418,f551]) ).

fof(f551,plain,
    ( ~ c2_1(a487)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f2418,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f981,f866]) ).

fof(f981,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f2442,plain,
    ( spl0_20
    | ~ spl0_130
    | ~ spl0_155
    | spl0_168 ),
    inference(avatar_split_clause,[],[f2429,f1334,f980,f865,f304]) ).

fof(f2429,plain,
    ( c3_1(a559)
    | ~ spl0_130
    | ~ spl0_155
    | spl0_168 ),
    inference(resolution,[],[f2418,f1336]) ).

fof(f1336,plain,
    ( ~ c2_1(a559)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f2415,plain,
    ( spl0_123
    | spl0_122
    | ~ spl0_124
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2414,f950,f824,f814,f819]) ).

fof(f819,plain,
    ( spl0_123
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f814,plain,
    ( spl0_122
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f824,plain,
    ( spl0_124
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2414,plain,
    ( c2_1(a494)
    | spl0_122
    | ~ spl0_124
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2386,f816]) ).

fof(f816,plain,
    ( ~ c3_1(a494)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f2386,plain,
    ( c2_1(a494)
    | c3_1(a494)
    | ~ spl0_124
    | ~ spl0_148 ),
    inference(resolution,[],[f951,f826]) ).

fof(f826,plain,
    ( c0_1(a494)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f2396,plain,
    ( spl0_18
    | spl0_23
    | ~ spl0_148
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

fof(f2395,plain,
    ( $false
    | spl0_18
    | spl0_23
    | ~ spl0_148
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2394,f296]) ).

fof(f2394,plain,
    ( c3_1(a500)
    | spl0_23
    | ~ spl0_148
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2385,f321]) ).

fof(f2385,plain,
    ( c2_1(a500)
    | c3_1(a500)
    | ~ spl0_148
    | ~ spl0_166 ),
    inference(resolution,[],[f951,f1218]) ).

fof(f1218,plain,
    ( c0_1(a500)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f2380,plain,
    ( ~ spl0_127
    | spl0_120
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2374,f932,f844,f804,f839]) ).

fof(f839,plain,
    ( spl0_127
  <=> c3_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f804,plain,
    ( spl0_120
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f844,plain,
    ( spl0_128
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f932,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2374,plain,
    ( ~ c3_1(a493)
    | spl0_120
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2364,f806]) ).

fof(f806,plain,
    ( ~ c0_1(a493)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f2364,plain,
    ( c0_1(a493)
    | ~ c3_1(a493)
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(resolution,[],[f933,f846]) ).

fof(f846,plain,
    ( c2_1(a493)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f933,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f2358,plain,
    ( spl0_40
    | ~ spl0_52
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2357]) ).

fof(f2357,plain,
    ( $false
    | spl0_40
    | ~ spl0_52
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2356,f476]) ).

fof(f2356,plain,
    ( ~ c3_1(a479)
    | spl0_40
    | ~ spl0_52
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2355,f406]) ).

fof(f2355,plain,
    ( c1_1(a479)
    | ~ c3_1(a479)
    | ~ spl0_52
    | ~ spl0_139 ),
    inference(resolution,[],[f466,f907]) ).

fof(f2344,plain,
    ( ~ spl0_100
    | ~ spl0_110
    | ~ spl0_143
    | ~ spl0_172 ),
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_110
    | ~ spl0_143
    | ~ spl0_172 ),
    inference(subsumption_resolution,[],[f2342,f2182]) ).

fof(f2182,plain,
    ( c3_1(a474)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f2180]) ).

fof(f2180,plain,
    ( spl0_172
  <=> c3_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2342,plain,
    ( ~ c3_1(a474)
    | ~ spl0_100
    | ~ spl0_110
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2329,f756]) ).

fof(f756,plain,
    ( c2_1(a474)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_110
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2329,plain,
    ( ~ c2_1(a474)
    | ~ c3_1(a474)
    | ~ spl0_100
    | ~ spl0_143 ),
    inference(resolution,[],[f928,f706]) ).

fof(f706,plain,
    ( c1_1(a474)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f704,plain,
    ( spl0_100
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2341,plain,
    ( ~ spl0_71
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2340]) ).

fof(f2340,plain,
    ( $false
    | ~ spl0_71
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2339,f586]) ).

fof(f586,plain,
    ( c3_1(a488)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f584,plain,
    ( spl0_76
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2339,plain,
    ( ~ c3_1(a488)
    | ~ spl0_71
    | ~ spl0_77
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2328,f591]) ).

fof(f591,plain,
    ( c2_1(a488)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f589,plain,
    ( spl0_77
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2328,plain,
    ( ~ c2_1(a488)
    | ~ c3_1(a488)
    | ~ spl0_71
    | ~ spl0_143 ),
    inference(resolution,[],[f928,f561]) ).

fof(f561,plain,
    ( c1_1(a488)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl0_71
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2304,plain,
    ( spl0_91
    | spl0_95
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | spl0_91
    | spl0_95
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2302,f661]) ).

fof(f2302,plain,
    ( c0_1(a478)
    | spl0_95
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2298,f681]) ).

fof(f2298,plain,
    ( c3_1(a478)
    | c0_1(a478)
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(resolution,[],[f771,f882]) ).

fof(f771,plain,
    ( c2_1(a478)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f2233,plain,
    ( spl0_172
    | ~ spl0_100
    | ~ spl0_104
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2232,f873,f724,f704,f2180]) ).

fof(f724,plain,
    ( spl0_104
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2232,plain,
    ( c3_1(a474)
    | ~ spl0_100
    | ~ spl0_104
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2221,f726]) ).

fof(f726,plain,
    ( c0_1(a474)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f2221,plain,
    ( c3_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_100
    | ~ spl0_132 ),
    inference(resolution,[],[f874,f706]) ).

fof(f2135,plain,
    ( ~ spl0_28
    | spl0_18
    | spl0_23
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2134,f865,f319,f294,f344]) ).

fof(f2134,plain,
    ( ~ c1_1(a500)
    | spl0_18
    | spl0_23
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2133,f296]) ).

fof(f2133,plain,
    ( ~ c1_1(a500)
    | c3_1(a500)
    | spl0_23
    | ~ spl0_130 ),
    inference(resolution,[],[f321,f866]) ).

fof(f2115,plain,
    ( ~ spl0_106
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2114]) ).

fof(f2114,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2104,f766]) ).

fof(f2104,plain,
    ( ~ c2_1(a462)
    | ~ spl0_106
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(resolution,[],[f2092,f736]) ).

fof(f2092,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f878,f2085]) ).

fof(f2085,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f874,f870]) ).

fof(f2016,plain,
    ( spl0_89
    | spl0_90
    | spl0_99
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2015]) ).

fof(f2015,plain,
    ( $false
    | spl0_89
    | spl0_90
    | spl0_99
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2014,f656]) ).

fof(f656,plain,
    ( ~ c0_1(a470)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl0_90
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2014,plain,
    ( c0_1(a470)
    | spl0_89
    | spl0_99
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2003,f651]) ).

fof(f651,plain,
    ( ~ c1_1(a470)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f649,plain,
    ( spl0_89
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2003,plain,
    ( c1_1(a470)
    | c0_1(a470)
    | spl0_99
    | ~ spl0_137 ),
    inference(resolution,[],[f895,f701]) ).

fof(f701,plain,
    ( ~ c2_1(a470)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl0_99
  <=> c2_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f895,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_137
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1978,plain,
    ( spl0_119
    | spl0_121
    | ~ spl0_136
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1968,f980,f890,f809,f799]) ).

fof(f890,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1968,plain,
    ( c1_1(a467)
    | spl0_121
    | ~ spl0_136
    | ~ spl0_155 ),
    inference(resolution,[],[f1952,f811]) ).

fof(f1952,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_136
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f981,f891]) ).

fof(f891,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f1899,plain,
    ( spl0_94
    | ~ spl0_102
    | ~ spl0_130
    | ~ spl0_136
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1898]) ).

fof(f1898,plain,
    ( $false
    | spl0_94
    | ~ spl0_102
    | ~ spl0_130
    | ~ spl0_136
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1894,f716]) ).

fof(f1894,plain,
    ( ~ c1_1(a481)
    | spl0_94
    | ~ spl0_130
    | ~ spl0_136
    | ~ spl0_146 ),
    inference(resolution,[],[f1857,f676]) ).

fof(f1857,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_130
    | ~ spl0_136
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f866,f1122]) ).

fof(f1122,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_136
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f942,f891]) ).

fof(f1751,plain,
    ( ~ spl0_125
    | spl0_121
    | ~ spl0_136
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1748,f950,f941,f890,f809,f829]) ).

fof(f1748,plain,
    ( ~ c0_1(a467)
    | spl0_121
    | ~ spl0_136
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(resolution,[],[f811,f1599]) ).

fof(f1599,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_136
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f951,f1122]) ).

fof(f1740,plain,
    ( spl0_63
    | spl0_66
    | ~ spl0_73
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1739]) ).

fof(f1739,plain,
    ( $false
    | spl0_63
    | spl0_66
    | ~ spl0_73
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1738,f521]) ).

fof(f521,plain,
    ( ~ c1_1(a465)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f519,plain,
    ( spl0_63
  <=> c1_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1738,plain,
    ( c1_1(a465)
    | spl0_66
    | ~ spl0_73
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1716,f536]) ).

fof(f536,plain,
    ( ~ c0_1(a465)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f534,plain,
    ( spl0_66
  <=> c0_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1716,plain,
    ( c0_1(a465)
    | c1_1(a465)
    | ~ spl0_73
    | ~ spl0_149 ),
    inference(resolution,[],[f956,f571]) ).

fof(f571,plain,
    ( c3_1(a465)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl0_73
  <=> c3_1(a465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f956,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f955,plain,
    ( spl0_149
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1733,plain,
    ( spl0_64
    | spl0_68
    | ~ spl0_75
    | ~ spl0_135
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1732]) ).

fof(f1732,plain,
    ( $false
    | spl0_64
    | spl0_68
    | ~ spl0_75
    | ~ spl0_135
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1731,f526]) ).

fof(f1731,plain,
    ( c1_1(a482)
    | spl0_64
    | spl0_68
    | ~ spl0_75
    | ~ spl0_135
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1709,f1626]) ).

fof(f1626,plain,
    ( ~ c0_1(a482)
    | spl0_64
    | spl0_68
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1618,f526]) ).

fof(f1618,plain,
    ( ~ c0_1(a482)
    | c1_1(a482)
    | spl0_68
    | ~ spl0_135 ),
    inference(resolution,[],[f886,f546]) ).

fof(f1709,plain,
    ( c0_1(a482)
    | c1_1(a482)
    | ~ spl0_75
    | ~ spl0_149 ),
    inference(resolution,[],[f956,f581]) ).

fof(f1574,plain,
    ( spl0_23
    | ~ spl0_28
    | ~ spl0_141
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1573,f1217,f919,f344,f319]) ).

fof(f1573,plain,
    ( c2_1(a500)
    | ~ spl0_28
    | ~ spl0_141
    | spl0_166 ),
    inference(subsumption_resolution,[],[f1551,f1219]) ).

fof(f1551,plain,
    ( c2_1(a500)
    | c0_1(a500)
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(resolution,[],[f920,f346]) ).

fof(f1433,plain,
    ( spl0_64
    | spl0_68
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | spl0_64
    | spl0_68
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1426,f526]) ).

fof(f1426,plain,
    ( c1_1(a482)
    | spl0_68
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(resolution,[],[f1415,f546]) ).

fof(f1415,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f895,f886]) ).

fof(f1359,plain,
    ( ~ spl0_29
    | ~ spl0_168
    | ~ spl0_24
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1358,f898,f324,f1334,f349]) ).

fof(f898,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1358,plain,
    ( ~ c2_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_24
    | ~ spl0_138 ),
    inference(resolution,[],[f326,f899]) ).

fof(f899,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f1339,plain,
    ( ~ spl0_29
    | spl0_20
    | ~ spl0_24
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1338,f873,f324,f304,f349]) ).

fof(f1338,plain,
    ( ~ c0_1(a559)
    | spl0_20
    | ~ spl0_24
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1332,f306]) ).

fof(f1332,plain,
    ( c3_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_24
    | ~ spl0_132 ),
    inference(resolution,[],[f326,f874]) ).

fof(f1324,plain,
    ( spl0_67
    | ~ spl0_74
    | spl0_70
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1248,f937,f554,f574,f539]) ).

fof(f539,plain,
    ( spl0_67
  <=> c0_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f574,plain,
    ( spl0_74
  <=> c3_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f554,plain,
    ( spl0_70
  <=> c2_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1248,plain,
    ( ~ c3_1(a464)
    | c0_1(a464)
    | spl0_70
    | ~ spl0_145 ),
    inference(resolution,[],[f938,f556]) ).

fof(f556,plain,
    ( ~ c2_1(a464)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f1235,plain,
    ( spl0_92
    | ~ spl0_102
    | ~ spl0_138
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1234]) ).

fof(f1234,plain,
    ( $false
    | spl0_92
    | ~ spl0_102
    | ~ spl0_138
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1228,f666]) ).

fof(f1228,plain,
    ( c0_1(a481)
    | ~ spl0_102
    | ~ spl0_138
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(resolution,[],[f1221,f716]) ).

fof(f1221,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_138
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f920,f1172]) ).

fof(f1172,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f913,f899]) ).

fof(f913,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1230,plain,
    ( spl0_44
    | ~ spl0_51
    | ~ spl0_138
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1229]) ).

fof(f1229,plain,
    ( $false
    | spl0_44
    | ~ spl0_51
    | ~ spl0_138
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1224,f426]) ).

fof(f1224,plain,
    ( c0_1(a545)
    | ~ spl0_51
    | ~ spl0_138
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(resolution,[],[f1221,f461]) ).

fof(f1220,plain,
    ( ~ spl0_166
    | spl0_18
    | ~ spl0_28
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1048,f873,f344,f294,f1217]) ).

fof(f1048,plain,
    ( c3_1(a500)
    | ~ c0_1(a500)
    | ~ spl0_28
    | ~ spl0_132 ),
    inference(resolution,[],[f346,f874]) ).

fof(f1215,plain,
    ( spl0_94
    | ~ spl0_102
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1214,plain,
    ( $false
    | spl0_94
    | ~ spl0_102
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1207,f716]) ).

fof(f1207,plain,
    ( ~ c1_1(a481)
    | spl0_94
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(resolution,[],[f1204,f676]) ).

fof(f1204,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_130
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f866,f1172]) ).

fof(f1187,plain,
    ( ~ spl0_103
    | ~ spl0_109
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1186]) ).

fof(f1186,plain,
    ( $false
    | ~ spl0_103
    | ~ spl0_109
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1179,f721]) ).

fof(f1179,plain,
    ( ~ c1_1(a483)
    | ~ spl0_109
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(resolution,[],[f1172,f751]) ).

fof(f751,plain,
    ( c2_1(a483)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f1079,plain,
    ( ~ spl0_110
    | ~ spl0_100
    | ~ spl0_104
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1078,f898,f724,f704,f754]) ).

fof(f1078,plain,
    ( ~ c2_1(a474)
    | ~ spl0_100
    | ~ spl0_104
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1067,f726]) ).

fof(f1067,plain,
    ( ~ c2_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_100
    | ~ spl0_138 ),
    inference(resolution,[],[f899,f706]) ).

fof(f1045,plain,
    ( spl0_65
    | spl0_69
    | ~ spl0_72
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1044]) ).

fof(f1044,plain,
    ( $false
    | spl0_65
    | spl0_69
    | ~ spl0_72
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1043,f531]) ).

fof(f531,plain,
    ( ~ c1_1(a487)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f1043,plain,
    ( c1_1(a487)
    | spl0_69
    | ~ spl0_72
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1037,f566]) ).

fof(f1037,plain,
    ( ~ c0_1(a487)
    | c1_1(a487)
    | spl0_69
    | ~ spl0_135 ),
    inference(resolution,[],[f886,f551]) ).

fof(f1024,plain,
    ( spl0_149
    | spl0_148
    | spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f210,f919,f950,f955]) ).

fof(f210,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f1023,plain,
    ( spl0_155
    | spl0_144
    | spl0_132
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f205,f210,f873,f932,f980]) ).

fof(f205,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c1_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).

fof(f1017,plain,
    ( spl0_142
    | spl0_141
    | spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f210,f976,f919,f923]) ).

fof(f199,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)
      | c2_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

fof(f1016,plain,
    ( spl0_159
    | spl0_130
    | spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f210,f919,f865,f1009]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f1015,plain,
    ( spl0_136
    | spl0_157
    | spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f210,f976,f988,f890]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c3_1(X1)
      | c3_1(X2)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f1014,plain,
    ( spl0_133
    | spl0_132
    | spl0_143
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f208,f210,f927,f873,f877]) ).

fof(f208,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).

fof(f1013,plain,
    ( spl0_144
    | spl0_138
    | spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f207,f210,f959,f898,f932]) ).

fof(f207,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).

fof(f1007,plain,
    ( spl0_149
    | spl0_130
    | spl0_117
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f210,f789,f865,f955]) ).

fof(f789,plain,
    ( spl0_117
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f1005,plain,
    ( spl0_139
    | spl0_138
    | spl0_116
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f210,f784,f898,f906]) ).

fof(f784,plain,
    ( spl0_116
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f195,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f1004,plain,
    ( spl0_137
    | spl0_151
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f210,f604,f963,f894]) ).

fof(f604,plain,
    ( spl0_80
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f1003,plain,
    ( spl0_145
    | spl0_135
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f210,f634,f885,f937]) ).

fof(f634,plain,
    ( spl0_86
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f1001,plain,
    ( spl0_153
    | spl0_147
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f210,f619,f945,f973]) ).

fof(f619,plain,
    ( spl0_83
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f998,plain,
    ( spl0_145
    | spl0_158
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f210,f594,f996,f937]) ).

fof(f594,plain,
    ( spl0_78
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f994,plain,
    ( spl0_148
    | spl0_130
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f210,f604,f865,f950]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f993,plain,
    ( spl0_142
    | spl0_150
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f210,f614,f959,f923]) ).

fof(f614,plain,
    ( spl0_82
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f992,plain,
    ( spl0_151
    | spl0_143
    | spl0_81
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f210,f609,f927,f963]) ).

fof(f609,plain,
    ( spl0_81
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f197,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f991,plain,
    ( spl0_141
    | spl0_130
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f210,f614,f865,f919]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f990,plain,
    ( spl0_157
    | spl0_146
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f210,f634,f941,f988]) ).

fof(f193,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f982,plain,
    ( spl0_155
    | spl0_131
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f210,f509,f869,f980]) ).

fof(f509,plain,
    ( spl0_61
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp16
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f971,plain,
    ( spl0_131
    | spl0_150
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f210,f494,f959,f869]) ).

fof(f494,plain,
    ( spl0_58
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f970,plain,
    ( spl0_152
    | spl0_143
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f210,f509,f927,f968]) ).

fof(f194,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp16
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f966,plain,
    ( spl0_145
    | spl0_143
    | spl0_39
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f210,f399,f927,f937]) ).

fof(f399,plain,
    ( spl0_39
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f957,plain,
    ( spl0_149
    | spl0_143
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f210,f219,f927,f955]) ).

fof(f219,plain,
    ( spl0_3
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f953,plain,
    ( spl0_135
    | spl0_140
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f210,f912,f885]) ).

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

fof(f952,plain,
    ( spl0_148
    | spl0_138
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f210,f898,f950]) ).

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

fof(f947,plain,
    ( spl0_147
    | spl0_117
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f210,f774,f789,f945]) ).

fof(f774,plain,
    ( spl0_114
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp5
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f943,plain,
    ( spl0_146
    | spl0_116
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f210,f774,f784,f941]) ).

fof(f162,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp18
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f939,plain,
    ( spl0_145
    | spl0_117
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f210,f619,f789,f937]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp5
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f929,plain,
    ( spl0_143
    | spl0_114
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f210,f599,f774,f927]) ).

fof(f599,plain,
    ( spl0_79
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f170,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp17
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f925,plain,
    ( spl0_142
    | spl0_81
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f210,f599,f609,f923]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f921,plain,
    ( spl0_141
    | spl0_86
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f210,f604,f634,f919]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp29
      | ~ c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f915,plain,
    ( spl0_134
    | spl0_81
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f210,f509,f609,f881]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp7
      | ~ c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f910,plain,
    ( spl0_132
    | spl0_83
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f210,f514,f619,f873]) ).

fof(f514,plain,
    ( spl0_62
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp12
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f909,plain,
    ( spl0_138
    | spl0_79
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f210,f504,f599,f898]) ).

fof(f504,plain,
    ( spl0_60
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp8
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f902,plain,
    ( spl0_138
    | spl0_116
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f210,f374,f784,f898]) ).

fof(f374,plain,
    ( spl0_34
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp18
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f901,plain,
    ( spl0_133
    | spl0_85
    | spl0_37
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f210,f389,f629,f877]) ).

fof(f629,plain,
    ( spl0_85
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f389,plain,
    ( spl0_37
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f168,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp14
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f896,plain,
    ( spl0_137
    | spl0_59
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f210,f374,f499,f894]) ).

fof(f499,plain,
    ( spl0_59
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f888,plain,
    ( spl0_133
    | spl0_59
    | spl0_37
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f210,f389,f499,f877]) ).

fof(f169,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp3
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f887,plain,
    ( spl0_135
    | spl0_116
    | spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f210,f269,f784,f885]) ).

fof(f269,plain,
    ( spl0_13
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp18
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f879,plain,
    ( spl0_133
    | spl0_78
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f210,f259,f594,f877]) ).

fof(f259,plain,
    ( spl0_11
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f167,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp10
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f875,plain,
    ( spl0_132
    | spl0_79
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f210,f259,f599,f873]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp8
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f863,plain,
    ( spl0_78
    | spl0_80
    | spl0_62 ),
    inference(avatar_split_clause,[],[f38,f514,f604,f594]) ).

fof(f38,axiom,
    ( hskp30
    | hskp0
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f862,plain,
    ( spl0_86
    | spl0_83
    | spl0_59 ),
    inference(avatar_split_clause,[],[f34,f499,f619,f634]) ).

fof(f34,axiom,
    ( hskp3
    | hskp12
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f860,plain,
    ( spl0_80
    | spl0_85
    | spl0_37 ),
    inference(avatar_split_clause,[],[f39,f389,f629,f604]) ).

fof(f39,axiom,
    ( hskp25
    | hskp14
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f859,plain,
    ( spl0_117
    | spl0_59
    | spl0_35 ),
    inference(avatar_split_clause,[],[f42,f379,f499,f789]) ).

fof(f379,plain,
    ( spl0_35
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f42,axiom,
    ( hskp23
    | hskp3
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f858,plain,
    ( spl0_115
    | spl0_86
    | spl0_14 ),
    inference(avatar_split_clause,[],[f33,f274,f634,f779]) ).

fof(f779,plain,
    ( spl0_115
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f274,plain,
    ( spl0_14
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f33,axiom,
    ( hskp15
    | hskp29
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f856,plain,
    ( spl0_61
    | spl0_60
    | spl0_10 ),
    inference(avatar_split_clause,[],[f36,f254,f504,f509]) ).

fof(f254,plain,
    ( spl0_10
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f36,axiom,
    ( hskp26
    | hskp13
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f855,plain,
    ( spl0_78
    | spl0_38
    | spl0_13 ),
    inference(avatar_split_clause,[],[f35,f269,f394,f594]) ).

fof(f394,plain,
    ( spl0_38
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f35,axiom,
    ( hskp19
    | hskp31
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f854,plain,
    ( spl0_58
    | spl0_35
    | spl0_10 ),
    inference(avatar_split_clause,[],[f37,f254,f379,f494]) ).

fof(f37,axiom,
    ( hskp26
    | hskp23
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f847,plain,
    ( spl0_128
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f68,f774,f844]) ).

fof(f68,axiom,
    ( ~ hskp17
    | c2_1(a493) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f842,plain,
    ( spl0_127
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f69,f774,f839]) ).

fof(f69,axiom,
    ( ~ hskp17
    | c3_1(a493) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f832,plain,
    ( spl0_125
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f86,f789,f829]) ).

fof(f86,axiom,
    ( ~ hskp5
    | c0_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f827,plain,
    ( spl0_124
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f67,f784,f824]) ).

fof(f67,axiom,
    ( ~ hskp18
    | c0_1(a494) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f822,plain,
    ( ~ spl0_123
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f108,f784,f819]) ).

fof(f108,axiom,
    ( ~ hskp18
    | ~ c2_1(a494) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f817,plain,
    ( ~ spl0_122
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f109,f784,f814]) ).

fof(f109,axiom,
    ( ~ hskp18
    | ~ c3_1(a494) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f812,plain,
    ( ~ spl0_121
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f129,f789,f809]) ).

fof(f129,axiom,
    ( ~ hskp5
    | ~ c3_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f807,plain,
    ( ~ spl0_120
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f110,f774,f804]) ).

fof(f110,axiom,
    ( ~ hskp17
    | ~ c0_1(a493) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f802,plain,
    ( ~ spl0_119
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f128,f789,f799]) ).

fof(f128,axiom,
    ( ~ hskp5
    | ~ c1_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f782,plain,
    ( spl0_1
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f23,f779,f210]) ).

fof(f23,axiom,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f772,plain,
    ( spl0_113
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f79,f594,f769]) ).

fof(f79,axiom,
    ( ~ hskp10
    | c2_1(a478) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f767,plain,
    ( spl0_112
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f91,f604,f764]) ).

fof(f91,axiom,
    ( ~ hskp0
    | c2_1(a462) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f757,plain,
    ( spl0_110
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f52,f634,f754]) ).

fof(f52,axiom,
    ( ~ hskp29
    | c2_1(a474) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f752,plain,
    ( spl0_109
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f74,f629,f749]) ).

fof(f74,axiom,
    ( ~ hskp14
    | c2_1(a483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f747,plain,
    ( spl0_108
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f83,f599,f744]) ).

fof(f83,axiom,
    ( ~ hskp8
    | c3_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f742,plain,
    ( spl0_107
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f85,f609,f739]) ).

fof(f85,axiom,
    ( ~ hskp7
    | c3_1(a471) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f737,plain,
    ( spl0_106
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f90,f604,f734]) ).

fof(f90,axiom,
    ( ~ hskp0
    | c0_1(a462) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f732,plain,
    ( spl0_105
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f84,f609,f729]) ).

fof(f84,axiom,
    ( ~ hskp7
    | c0_1(a471) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f727,plain,
    ( spl0_104
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f50,f634,f724]) ).

fof(f50,axiom,
    ( ~ hskp29
    | c0_1(a474) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f722,plain,
    ( spl0_103
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f73,f629,f719]) ).

fof(f73,axiom,
    ( ~ hskp14
    | c1_1(a483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f717,plain,
    ( spl0_102
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f76,f619,f714]) ).

fof(f76,axiom,
    ( ~ hskp12
    | c1_1(a481) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f712,plain,
    ( spl0_101
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f82,f599,f709]) ).

fof(f82,axiom,
    ( ~ hskp8
    | c1_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f707,plain,
    ( spl0_100
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f51,f634,f704]) ).

fof(f51,axiom,
    ( ~ hskp29
    | c1_1(a474) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f702,plain,
    ( ~ spl0_99
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f127,f614,f699]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c2_1(a470) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f697,plain,
    ( ~ spl0_98
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f124,f609,f694]) ).

fof(f124,axiom,
    ( ~ hskp7
    | ~ c2_1(a471) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f692,plain,
    ( ~ spl0_97
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f123,f599,f689]) ).

fof(f123,axiom,
    ( ~ hskp8
    | ~ c2_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f682,plain,
    ( ~ spl0_95
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f121,f594,f679]) ).

fof(f121,axiom,
    ( ~ hskp10
    | ~ c3_1(a478) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f677,plain,
    ( ~ spl0_94
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f118,f619,f674]) ).

fof(f118,axiom,
    ( ~ hskp12
    | ~ c3_1(a481) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f672,plain,
    ( ~ spl0_93
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f114,f629,f669]) ).

fof(f114,axiom,
    ( ~ hskp14
    | ~ c0_1(a483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f667,plain,
    ( ~ spl0_92
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f117,f619,f664]) ).

fof(f117,axiom,
    ( ~ hskp12
    | ~ c0_1(a481) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f662,plain,
    ( ~ spl0_91
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f120,f594,f659]) ).

fof(f120,axiom,
    ( ~ hskp10
    | ~ c0_1(a478) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f657,plain,
    ( ~ spl0_90
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f125,f614,f654]) ).

fof(f125,axiom,
    ( ~ hskp6
    | ~ c0_1(a470) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f652,plain,
    ( ~ spl0_89
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f126,f614,f649]) ).

fof(f126,axiom,
    ( ~ hskp6
    | ~ c1_1(a470) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f647,plain,
    ( ~ spl0_88
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f139,f604,f644]) ).

fof(f139,axiom,
    ( ~ hskp0
    | ~ c1_1(a462) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f637,plain,
    ( spl0_1
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f3,f634,f210]) ).

fof(f3,axiom,
    ( ~ hskp29
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f592,plain,
    ( spl0_77
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f48,f514,f589]) ).

fof(f48,axiom,
    ( ~ hskp30
    | c2_1(a488) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f587,plain,
    ( spl0_76
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f49,f514,f584]) ).

fof(f49,axiom,
    ( ~ hskp30
    | c3_1(a488) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f582,plain,
    ( spl0_75
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f75,f504,f579]) ).

fof(f75,axiom,
    ( ~ hskp13
    | c3_1(a482) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f577,plain,
    ( spl0_74
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f88,f494,f574]) ).

fof(f88,axiom,
    ( ~ hskp2
    | c3_1(a464) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f572,plain,
    ( spl0_73
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f87,f499,f569]) ).

fof(f87,axiom,
    ( ~ hskp3
    | c3_1(a465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f567,plain,
    ( spl0_72
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f70,f509,f564]) ).

fof(f70,axiom,
    ( ~ hskp16
    | c0_1(a487) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f562,plain,
    ( spl0_71
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f47,f514,f559]) ).

fof(f47,axiom,
    ( ~ hskp30
    | c1_1(a488) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f557,plain,
    ( ~ spl0_70
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f136,f494,f554]) ).

fof(f136,axiom,
    ( ~ hskp2
    | ~ c2_1(a464) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f552,plain,
    ( ~ spl0_69
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f112,f509,f549]) ).

fof(f112,axiom,
    ( ~ hskp16
    | ~ c2_1(a487) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f547,plain,
    ( ~ spl0_68
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f116,f504,f544]) ).

fof(f116,axiom,
    ( ~ hskp13
    | ~ c2_1(a482) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f542,plain,
    ( ~ spl0_67
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f135,f494,f539]) ).

fof(f135,axiom,
    ( ~ hskp2
    | ~ c0_1(a464) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f537,plain,
    ( ~ spl0_66
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f133,f499,f534]) ).

fof(f133,axiom,
    ( ~ hskp3
    | ~ c0_1(a465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f532,plain,
    ( ~ spl0_65
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f111,f509,f529]) ).

fof(f111,axiom,
    ( ~ hskp16
    | ~ c1_1(a487) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f527,plain,
    ( ~ spl0_64
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f115,f504,f524]) ).

fof(f115,axiom,
    ( ~ hskp13
    | ~ c1_1(a482) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f522,plain,
    ( ~ spl0_63
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f134,f499,f519]) ).

fof(f134,axiom,
    ( ~ hskp3
    | ~ c1_1(a465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f487,plain,
    ( spl0_56
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f46,f394,f484]) ).

fof(f46,axiom,
    ( ~ hskp31
    | c3_1(a529) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f482,plain,
    ( spl0_55
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f59,f389,f479]) ).

fof(f59,axiom,
    ( ~ hskp25
    | c3_1(a545) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f477,plain,
    ( spl0_54
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f78,f399,f474]) ).

fof(f78,axiom,
    ( ~ hskp11
    | c3_1(a479) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f472,plain,
    ( spl0_53
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f44,f394,f469]) ).

fof(f44,axiom,
    ( ~ hskp31
    | c0_1(a529) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f467,plain,
    ( spl0_52
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f77,f399,f464]) ).

fof(f77,axiom,
    ( ~ hskp11
    | c0_1(a479) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f462,plain,
    ( spl0_51
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f58,f389,f459]) ).

fof(f58,axiom,
    ( ~ hskp25
    | c1_1(a545) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f457,plain,
    ( spl0_50
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f45,f394,f454]) ).

fof(f45,axiom,
    ( ~ hskp31
    | c1_1(a529) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f452,plain,
    ( ~ spl0_49
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f99,f379,f449]) ).

fof(f99,axiom,
    ( ~ hskp23
    | ~ c2_1(a521) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f447,plain,
    ( ~ spl0_48
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f132,f374,f444]) ).

fof(f132,axiom,
    ( ~ hskp4
    | ~ c3_1(a466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f442,plain,
    ( ~ spl0_47
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f100,f379,f439]) ).

fof(f100,axiom,
    ( ~ hskp23
    | ~ c3_1(a521) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f432,plain,
    ( ~ spl0_45
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f98,f379,f429]) ).

fof(f98,axiom,
    ( ~ hskp23
    | ~ c0_1(a521) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f427,plain,
    ( ~ spl0_44
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f96,f389,f424]) ).

fof(f96,axiom,
    ( ~ hskp25
    | ~ c0_1(a545) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f422,plain,
    ( ~ spl0_43
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f130,f374,f419]) ).

fof(f130,axiom,
    ( ~ hskp4
    | ~ c0_1(a466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f412,plain,
    ( ~ spl0_41
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f131,f374,f409]) ).

fof(f131,axiom,
    ( ~ hskp4
    | ~ c1_1(a466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f407,plain,
    ( ~ spl0_40
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f119,f399,f404]) ).

fof(f119,axiom,
    ( ~ hskp11
    | ~ c1_1(a479) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f357,plain,
    ( spl0_30
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f60,f259,f354]) ).

fof(f60,axiom,
    ( ~ hskp24
    | c0_1(a525) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f352,plain,
    ( spl0_29
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f56,f254,f349]) ).

fof(f56,axiom,
    ( ~ hskp26
    | c0_1(a559) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f347,plain,
    ( spl0_28
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f66,f269,f344]) ).

fof(f66,axiom,
    ( ~ hskp19
    | c1_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f332,plain,
    ( spl0_25
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f61,f259,f329]) ).

fof(f61,axiom,
    ( ~ hskp24
    | c1_1(a525) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f327,plain,
    ( spl0_24
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f57,f254,f324]) ).

fof(f57,axiom,
    ( ~ hskp26
    | c1_1(a559) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f322,plain,
    ( ~ spl0_23
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f106,f269,f319]) ).

fof(f106,axiom,
    ( ~ hskp19
    | ~ c2_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f317,plain,
    ( ~ spl0_22
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f97,f259,f314]) ).

fof(f97,axiom,
    ( ~ hskp24
    | ~ c2_1(a525) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f307,plain,
    ( ~ spl0_20
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f95,f254,f304]) ).

fof(f95,axiom,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f297,plain,
    ( ~ spl0_18
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f107,f269,f294]) ).

fof(f107,axiom,
    ( ~ hskp19
    | ~ c3_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f277,plain,
    ( spl0_1
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f17,f274,f210]) ).

fof(f17,axiom,
    ( ~ hskp15
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

fof(f252,plain,
    ( spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f54,f219,f249]) ).

fof(f54,axiom,
    ( ~ hskp28
    | c2_1(a469) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f247,plain,
    ( spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f55,f219,f244]) ).

fof(f55,axiom,
    ( ~ hskp28
    | c3_1(a469) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f242,plain,
    ( spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f53,f219,f239]) ).

fof(f53,axiom,
    ( ~ hskp28
    | c0_1(a469) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN505-1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 17:56:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (30537)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (30543)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37  % (30541)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37  % (30540)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)
% 0.21/0.37  % (30544)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)
% 0.21/0.37  % (30542)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37  % (30538)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  % (30539)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  Detected minimum model sizes of [1]
% 0.21/0.37  Detected maximum model sizes of [32]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  Detected minimum model sizes of [1]
% 0.21/0.37  Detected maximum model sizes of [32]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  TRYING [2]
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [32]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  Detected maximum model sizes of [32]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [4]
% 0.21/0.38  TRYING [4]
% 0.21/0.38  TRYING [4]
% 0.21/0.39  TRYING [4]
% 0.21/0.40  TRYING [5]
% 0.21/0.40  TRYING [5]
% 0.21/0.40  TRYING [5]
% 0.21/0.40  TRYING [5]
% 0.21/0.42  % (30543)First to succeed.
% 0.21/0.42  % (30540)Also succeeded, but the first one will report.
% 0.21/0.43  % (30543)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30537"
% 0.21/0.43  % (30543)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (30543)------------------------------
% 0.21/0.43  % (30543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.43  % (30543)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (30543)Memory used [KB]: 2068
% 0.21/0.43  % (30543)Time elapsed: 0.058 s
% 0.21/0.43  % (30543)Instructions burned: 96 (million)
% 0.21/0.43  % (30537)Success in time 0.069 s
%------------------------------------------------------------------------------