TSTP Solution File: SYN488-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN488-1 : 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 : n014.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 12:10:57 EDT 2024

% Result   : Unsatisfiable 0.11s 0.40s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  298
% Syntax   : Number of formulae    :  877 (   1 unt;   0 def)
%            Number of atoms       : 3017 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3809 (1669   ~;1987   |;   0   &)
%                                         ( 153 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  187 ( 186 usr; 183 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  184 ( 184   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3731,plain,
    $false,
    inference(avatar_sat_refutation,[],[f233,f243,f253,f313,f318,f328,f333,f338,f343,f348,f353,f358,f363,f373,f378,f383,f388,f423,f428,f433,f438,f443,f448,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f528,f553,f558,f568,f573,f578,f583,f588,f598,f603,f608,f613,f618,f623,f628,f633,f638,f648,f653,f658,f663,f668,f693,f703,f708,f713,f718,f723,f728,f733,f738,f743,f748,f753,f758,f763,f768,f773,f778,f783,f788,f798,f803,f808,f813,f818,f823,f828,f838,f843,f848,f850,f851,f852,f853,f854,f858,f862,f866,f870,f871,f875,f880,f884,f889,f893,f897,f901,f909,f917,f921,f922,f926,f927,f932,f937,f938,f939,f943,f944,f945,f946,f947,f951,f952,f954,f958,f964,f965,f970,f974,f976,f980,f984,f989,f994,f996,f997,f998,f999,f1001,f1002,f1003,f1004,f1005,f1007,f1008,f1009,f1010,f1011,f1064,f1069,f1070,f1091,f1104,f1106,f1117,f1158,f1186,f1189,f1214,f1250,f1272,f1353,f1415,f1462,f1488,f1534,f1558,f1560,f1568,f1584,f1612,f1646,f1674,f1709,f1758,f1769,f1804,f1847,f1861,f1896,f1919,f1951,f1953,f1979,f2016,f2038,f2040,f2042,f2122,f2123,f2210,f2255,f2286,f2304,f2311,f2321,f2408,f2420,f2434,f2485,f2546,f2552,f2556,f2590,f2592,f2659,f2686,f2708,f2714,f2782,f2855,f2889,f2937,f2941,f2961,f2962,f2972,f2995,f3002,f3052,f3092,f3105,f3107,f3198,f3205,f3227,f3244,f3266,f3291,f3334,f3403,f3405,f3409,f3447,f3451,f3568,f3633,f3635,f3638,f3640,f3686,f3696,f3703,f3709,f3727]) ).

fof(f3727,plain,
    ( spl0_46
    | ~ spl0_56
    | ~ spl0_61
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f3726]) ).

fof(f3726,plain,
    ( $false
    | spl0_46
    | ~ spl0_56
    | ~ spl0_61
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f3725,f507]) ).

fof(f507,plain,
    ( c1_1(a2420)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_61
  <=> c1_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3725,plain,
    ( ~ c1_1(a2420)
    | spl0_46
    | ~ spl0_56
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f3718,f432]) ).

fof(f432,plain,
    ( ~ c3_1(a2420)
    | spl0_46 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_46
  <=> c3_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3718,plain,
    ( c3_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_56
    | ~ spl0_144 ),
    inference(resolution,[],[f916,f482]) ).

fof(f482,plain,
    ( c2_1(a2420)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_56
  <=> c2_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f916,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3709,plain,
    ( spl0_165
    | ~ spl0_57
    | ~ spl0_60
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3708,f935,f500,f485,f1264]) ).

fof(f1264,plain,
    ( spl0_165
  <=> c2_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f485,plain,
    ( spl0_57
  <=> c0_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f500,plain,
    ( spl0_60
  <=> c1_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f935,plain,
    ( spl0_148
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3708,plain,
    ( c2_1(a2484)
    | ~ spl0_57
    | ~ spl0_60
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3707,f502]) ).

fof(f502,plain,
    ( c1_1(a2484)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f3707,plain,
    ( c2_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_57
    | ~ spl0_148 ),
    inference(resolution,[],[f487,f936]) ).

fof(f936,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f487,plain,
    ( c0_1(a2484)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f3703,plain,
    ( spl0_120
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3702,f935,f825,f815,f800]) ).

fof(f800,plain,
    ( spl0_120
  <=> c2_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f815,plain,
    ( spl0_123
  <=> c0_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f825,plain,
    ( spl0_125
  <=> c1_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3702,plain,
    ( c2_1(a2410)
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3671,f827]) ).

fof(f827,plain,
    ( c1_1(a2410)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f3671,plain,
    ( c2_1(a2410)
    | ~ c1_1(a2410)
    | ~ spl0_123
    | ~ spl0_148 ),
    inference(resolution,[],[f936,f817]) ).

fof(f817,plain,
    ( c0_1(a2410)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f3696,plain,
    ( spl0_128
    | ~ spl0_129
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f3695]) ).

fof(f3695,plain,
    ( $false
    | spl0_128
    | ~ spl0_129
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f3694,f847]) ).

fof(f847,plain,
    ( c1_1(a2403)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl0_129
  <=> c1_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3694,plain,
    ( ~ c1_1(a2403)
    | spl0_128
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f3675,f842]) ).

fof(f842,plain,
    ( ~ c2_1(a2403)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_128
  <=> c2_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3675,plain,
    ( c2_1(a2403)
    | ~ c1_1(a2403)
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(resolution,[],[f936,f1068]) ).

fof(f1068,plain,
    ( c0_1(a2403)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f1066,plain,
    ( spl0_159
  <=> c0_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f3686,plain,
    ( spl0_73
    | ~ spl0_92
    | ~ spl0_148
    | ~ spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3685]) ).

fof(f3685,plain,
    ( $false
    | spl0_73
    | ~ spl0_92
    | ~ spl0_148
    | ~ spl0_174 ),
    inference(subsumption_resolution,[],[f3684,f662]) ).

fof(f662,plain,
    ( c1_1(a2422)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl0_92
  <=> c1_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f3684,plain,
    ( ~ c1_1(a2422)
    | spl0_73
    | ~ spl0_148
    | ~ spl0_174 ),
    inference(subsumption_resolution,[],[f3666,f567]) ).

fof(f567,plain,
    ( ~ c2_1(a2422)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl0_73
  <=> c2_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3666,plain,
    ( c2_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_148
    | ~ spl0_174 ),
    inference(resolution,[],[f936,f2303]) ).

fof(f2303,plain,
    ( c0_1(a2422)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f2301]) ).

fof(f2301,plain,
    ( spl0_174
  <=> c0_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f3640,plain,
    ( spl0_171
    | ~ spl0_56
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3639,f930,f505,f480,f1716]) ).

fof(f1716,plain,
    ( spl0_171
  <=> c0_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f930,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3639,plain,
    ( c0_1(a2420)
    | ~ spl0_56
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3602,f507]) ).

fof(f3602,plain,
    ( c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_56
    | ~ spl0_147 ),
    inference(resolution,[],[f931,f482]) ).

fof(f931,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f3638,plain,
    ( ~ spl0_161
    | spl0_51
    | ~ spl0_55
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3617,f930,f475,f455,f1160]) ).

fof(f1160,plain,
    ( spl0_161
  <=> c1_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f455,plain,
    ( spl0_51
  <=> c0_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f475,plain,
    ( spl0_55
  <=> c2_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3617,plain,
    ( ~ c1_1(a2455)
    | spl0_51
    | ~ spl0_55
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3600,f457]) ).

fof(f457,plain,
    ( ~ c0_1(a2455)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f3600,plain,
    ( c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_55
    | ~ spl0_147 ),
    inference(resolution,[],[f931,f477]) ).

fof(f477,plain,
    ( c2_1(a2455)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f3635,plain,
    ( spl0_106
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f3634,f2308,f873,f765,f730]) ).

fof(f730,plain,
    ( spl0_106
  <=> c1_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f765,plain,
    ( spl0_113
  <=> c2_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f873,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2308,plain,
    ( spl0_175
  <=> c3_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f3634,plain,
    ( c1_1(a2437)
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f3458,f767]) ).

fof(f767,plain,
    ( c2_1(a2437)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f3458,plain,
    ( c1_1(a2437)
    | ~ c2_1(a2437)
    | ~ spl0_134
    | ~ spl0_175 ),
    inference(resolution,[],[f2309,f874]) ).

fof(f874,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f2309,plain,
    ( c3_1(a2437)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f2308]) ).

fof(f3633,plain,
    ( spl0_23
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3632,f930,f385,f350,f315]) ).

fof(f315,plain,
    ( spl0_23
  <=> c0_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f350,plain,
    ( spl0_30
  <=> c2_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f385,plain,
    ( spl0_37
  <=> c1_1(a2418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3632,plain,
    ( c0_1(a2418)
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3603,f387]) ).

fof(f387,plain,
    ( c1_1(a2418)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f3603,plain,
    ( c0_1(a2418)
    | ~ c1_1(a2418)
    | ~ spl0_30
    | ~ spl0_147 ),
    inference(resolution,[],[f931,f352]) ).

fof(f352,plain,
    ( c2_1(a2418)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f3568,plain,
    ( spl0_75
    | ~ spl0_87
    | ~ spl0_131
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3567]) ).

fof(f3567,plain,
    ( $false
    | spl0_75
    | ~ spl0_87
    | ~ spl0_131
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3553,f577]) ).

fof(f577,plain,
    ( ~ c0_1(a2478)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl0_75
  <=> c0_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3553,plain,
    ( c0_1(a2478)
    | ~ spl0_87
    | ~ spl0_131
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(resolution,[],[f3547,f637]) ).

fof(f637,plain,
    ( c2_1(a2478)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl0_87
  <=> c2_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f3547,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f931,f3491]) ).

fof(f3491,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f883,f861]) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f883,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_136
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3451,plain,
    ( spl0_51
    | ~ spl0_55
    | ~ spl0_143
    | ~ spl0_147
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3450]) ).

fof(f3450,plain,
    ( $false
    | spl0_51
    | ~ spl0_55
    | ~ spl0_143
    | ~ spl0_147
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3433,f457]) ).

fof(f3433,plain,
    ( c0_1(a2455)
    | ~ spl0_55
    | ~ spl0_143
    | ~ spl0_147
    | ~ spl0_155 ),
    inference(resolution,[],[f3416,f477]) ).

fof(f3416,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_143
    | ~ spl0_147
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f931,f3267]) ).

fof(f3267,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f912,f979]) ).

fof(f979,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f978,plain,
    ( spl0_155
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f912,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f911,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3447,plain,
    ( spl0_75
    | ~ spl0_87
    | ~ spl0_143
    | ~ spl0_147
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3446]) ).

fof(f3446,plain,
    ( $false
    | spl0_75
    | ~ spl0_87
    | ~ spl0_143
    | ~ spl0_147
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3431,f577]) ).

fof(f3431,plain,
    ( c0_1(a2478)
    | ~ spl0_87
    | ~ spl0_143
    | ~ spl0_147
    | ~ spl0_155 ),
    inference(resolution,[],[f3416,f637]) ).

fof(f3409,plain,
    ( ~ spl0_56
    | ~ spl0_61
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3408]) ).

fof(f3408,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_61
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3393,f507]) ).

fof(f3393,plain,
    ( ~ c1_1(a2420)
    | ~ spl0_56
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(resolution,[],[f3381,f482]) ).

fof(f3381,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f931,f878]) ).

fof(f878,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f877,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3405,plain,
    ( ~ spl0_35
    | ~ spl0_135
    | ~ spl0_147
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3404]) ).

fof(f3404,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_135
    | ~ spl0_147
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3390,f377]) ).

fof(f377,plain,
    ( c1_1(a2468)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_35
  <=> c1_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3390,plain,
    ( ~ c1_1(a2468)
    | ~ spl0_135
    | ~ spl0_147
    | ~ spl0_162 ),
    inference(resolution,[],[f3381,f1220]) ).

fof(f1220,plain,
    ( c2_1(a2468)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1219,plain,
    ( spl0_162
  <=> c2_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3403,plain,
    ( ~ spl0_60
    | ~ spl0_135
    | ~ spl0_147
    | ~ spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3402]) ).

fof(f3402,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_135
    | ~ spl0_147
    | ~ spl0_165 ),
    inference(subsumption_resolution,[],[f3388,f502]) ).

fof(f3388,plain,
    ( ~ c1_1(a2484)
    | ~ spl0_135
    | ~ spl0_147
    | ~ spl0_165 ),
    inference(resolution,[],[f3381,f1265]) ).

fof(f1265,plain,
    ( c2_1(a2484)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f3334,plain,
    ( spl0_105
    | ~ spl0_111
    | ~ spl0_137
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3333]) ).

fof(f3333,plain,
    ( $false
    | spl0_105
    | ~ spl0_111
    | ~ spl0_137
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3324,f727]) ).

fof(f727,plain,
    ( ~ c0_1(a2432)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_105
  <=> c0_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3324,plain,
    ( c0_1(a2432)
    | ~ spl0_111
    | ~ spl0_137
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(resolution,[],[f3321,f757]) ).

fof(f757,plain,
    ( c3_1(a2432)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_111
  <=> c3_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3321,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_137
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f888,f3267]) ).

fof(f888,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3291,plain,
    ( ~ spl0_177
    | spl0_79
    | ~ spl0_84
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3290,f873,f620,f595,f2393]) ).

fof(f2393,plain,
    ( spl0_177
  <=> c2_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f595,plain,
    ( spl0_79
  <=> c1_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f620,plain,
    ( spl0_84
  <=> c3_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3290,plain,
    ( ~ c2_1(a2402)
    | spl0_79
    | ~ spl0_84
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f3286,f597]) ).

fof(f597,plain,
    ( ~ c1_1(a2402)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f3286,plain,
    ( c1_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_84
    | ~ spl0_134 ),
    inference(resolution,[],[f874,f622]) ).

fof(f622,plain,
    ( c3_1(a2402)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f3266,plain,
    ( spl0_76
    | spl0_80
    | ~ spl0_155
    | spl0_170 ),
    inference(avatar_split_clause,[],[f3263,f1570,f978,f600,f580]) ).

fof(f580,plain,
    ( spl0_76
  <=> c0_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f600,plain,
    ( spl0_80
  <=> c1_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1570,plain,
    ( spl0_170
  <=> c2_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3263,plain,
    ( c0_1(a2417)
    | spl0_80
    | ~ spl0_155
    | spl0_170 ),
    inference(subsumption_resolution,[],[f3262,f602]) ).

fof(f602,plain,
    ( ~ c1_1(a2417)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f3262,plain,
    ( c1_1(a2417)
    | c0_1(a2417)
    | ~ spl0_155
    | spl0_170 ),
    inference(resolution,[],[f1572,f979]) ).

fof(f1572,plain,
    ( ~ c2_1(a2417)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1570]) ).

fof(f3244,plain,
    ( ~ spl0_170
    | spl0_76
    | ~ spl0_81
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3243,f856,f605,f580,f1570]) ).

fof(f605,plain,
    ( spl0_81
  <=> c3_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f856,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3243,plain,
    ( ~ c2_1(a2417)
    | spl0_76
    | ~ spl0_81
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f3233,f582]) ).

fof(f582,plain,
    ( ~ c0_1(a2417)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f3233,plain,
    ( c0_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_81
    | ~ spl0_130 ),
    inference(resolution,[],[f857,f607]) ).

fof(f607,plain,
    ( c3_1(a2417)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f857,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f3227,plain,
    ( spl0_76
    | spl0_80
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3226]) ).

fof(f3226,plain,
    ( $false
    | spl0_76
    | spl0_80
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3225,f582]) ).

fof(f3225,plain,
    ( c0_1(a2417)
    | spl0_80
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(resolution,[],[f602,f3109]) ).

fof(f3109,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f912,f979]) ).

fof(f3205,plain,
    ( spl0_109
    | spl0_102
    | ~ spl0_132
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3193,f978,f864,f710,f745]) ).

fof(f745,plain,
    ( spl0_109
  <=> c1_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f710,plain,
    ( spl0_102
  <=> c2_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f864,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3193,plain,
    ( c1_1(a2404)
    | spl0_102
    | ~ spl0_132
    | ~ spl0_155 ),
    inference(resolution,[],[f3110,f712]) ).

fof(f712,plain,
    ( ~ c2_1(a2404)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f3110,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_132
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f865,f979]) ).

fof(f865,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f3198,plain,
    ( spl0_49
    | ~ spl0_132
    | ~ spl0_155
    | spl0_168 ),
    inference(avatar_contradiction_clause,[],[f3197]) ).

fof(f3197,plain,
    ( $false
    | spl0_49
    | ~ spl0_132
    | ~ spl0_155
    | spl0_168 ),
    inference(subsumption_resolution,[],[f3184,f1487]) ).

fof(f1487,plain,
    ( ~ c1_1(a2425)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1485]) ).

fof(f1485,plain,
    ( spl0_168
  <=> c1_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f3184,plain,
    ( c1_1(a2425)
    | spl0_49
    | ~ spl0_132
    | ~ spl0_155 ),
    inference(resolution,[],[f3110,f447]) ).

fof(f447,plain,
    ( ~ c2_1(a2425)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_49
  <=> c2_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f3107,plain,
    ( ~ spl0_113
    | ~ spl0_116
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3106]) ).

fof(f3106,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3099,f782]) ).

fof(f782,plain,
    ( c0_1(a2437)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_116
  <=> c0_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f3099,plain,
    ( ~ c0_1(a2437)
    | ~ spl0_113
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(resolution,[],[f3093,f767]) ).

fof(f3093,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f987,f2973]) ).

fof(f2973,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f920,f896]) ).

fof(f896,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f920,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f987,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f986,plain,
    ( spl0_157
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f3105,plain,
    ( ~ spl0_31
    | ~ spl0_34
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3104]) ).

fof(f3104,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3095,f372]) ).

fof(f372,plain,
    ( c0_1(a2409)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_34
  <=> c0_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3095,plain,
    ( ~ c0_1(a2409)
    | ~ spl0_31
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_157 ),
    inference(resolution,[],[f3093,f357]) ).

fof(f357,plain,
    ( c2_1(a2409)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_31
  <=> c2_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f3092,plain,
    ( spl0_175
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3091,f982,f780,f765,f2308]) ).

fof(f982,plain,
    ( spl0_156
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3091,plain,
    ( c3_1(a2437)
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3082,f782]) ).

fof(f3082,plain,
    ( c3_1(a2437)
    | ~ c0_1(a2437)
    | ~ spl0_113
    | ~ spl0_156 ),
    inference(resolution,[],[f983,f767]) ).

fof(f983,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f3052,plain,
    ( ~ spl0_122
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3051]) ).

fof(f3051,plain,
    ( $false
    | ~ spl0_122
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3042,f812]) ).

fof(f812,plain,
    ( c3_1(a2408)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f810,plain,
    ( spl0_122
  <=> c3_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3042,plain,
    ( ~ c3_1(a2408)
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_151 ),
    inference(resolution,[],[f3036,f822]) ).

fof(f822,plain,
    ( c0_1(a2408)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_124
  <=> c0_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3036,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f957,f896]) ).

fof(f957,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3002,plain,
    ( ~ spl0_159
    | ~ spl0_129
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2986,f919,f895,f845,f1066]) ).

fof(f2986,plain,
    ( ~ c0_1(a2403)
    | ~ spl0_129
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(resolution,[],[f2973,f847]) ).

fof(f2995,plain,
    ( ~ spl0_89
    | ~ spl0_93
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2974,f919,f895,f665,f645]) ).

fof(f645,plain,
    ( spl0_89
  <=> c0_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f665,plain,
    ( spl0_93
  <=> c1_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2974,plain,
    ( ~ c0_1(a2450)
    | ~ spl0_93
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(resolution,[],[f2973,f667]) ).

fof(f667,plain,
    ( c1_1(a2450)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f2972,plain,
    ( spl0_177
    | spl0_79
    | ~ spl0_84
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2967,f903,f620,f595,f2393]) ).

fof(f903,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2967,plain,
    ( c2_1(a2402)
    | spl0_79
    | ~ spl0_84
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2957,f597]) ).

fof(f2957,plain,
    ( c1_1(a2402)
    | c2_1(a2402)
    | ~ spl0_84
    | ~ spl0_141 ),
    inference(resolution,[],[f904,f622]) ).

fof(f904,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f2962,plain,
    ( spl0_155
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2959,f903,f882,f978]) ).

fof(f2959,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2944]) ).

fof(f2944,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(resolution,[],[f904,f883]) ).

fof(f2961,plain,
    ( spl0_155
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2960,f903,f891,f978]) ).

fof(f891,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2960,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(duplicate_literal_removal,[],[f2943]) ).

fof(f2943,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(resolution,[],[f904,f892]) ).

fof(f892,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f2941,plain,
    ( ~ spl0_174
    | ~ spl0_85
    | ~ spl0_92
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2940,f895,f660,f625,f2301]) ).

fof(f625,plain,
    ( spl0_85
  <=> c3_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2940,plain,
    ( ~ c0_1(a2422)
    | ~ spl0_85
    | ~ spl0_92
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2929,f627]) ).

fof(f627,plain,
    ( c3_1(a2422)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f2929,plain,
    ( ~ c3_1(a2422)
    | ~ c0_1(a2422)
    | ~ spl0_92
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f662]) ).

fof(f2937,plain,
    ( ~ spl0_27
    | ~ spl0_34
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2936]) ).

fof(f2936,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2935,f372]) ).

fof(f2935,plain,
    ( ~ c0_1(a2409)
    | ~ spl0_27
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2922,f337]) ).

fof(f337,plain,
    ( c3_1(a2409)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f335,plain,
    ( spl0_27
  <=> c3_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2922,plain,
    ( ~ c3_1(a2409)
    | ~ c0_1(a2409)
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(resolution,[],[f896,f1248]) ).

fof(f1248,plain,
    ( c1_1(a2409)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f1246,plain,
    ( spl0_163
  <=> c1_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2889,plain,
    ( spl0_73
    | ~ spl0_85
    | ~ spl0_92
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2888]) ).

fof(f2888,plain,
    ( $false
    | spl0_73
    | ~ spl0_85
    | ~ spl0_92
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2887,f662]) ).

fof(f2887,plain,
    ( ~ c1_1(a2422)
    | spl0_73
    | ~ spl0_85
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2877,f567]) ).

fof(f2877,plain,
    ( c2_1(a2422)
    | ~ c1_1(a2422)
    | ~ spl0_85
    | ~ spl0_154 ),
    inference(resolution,[],[f973,f627]) ).

fof(f973,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f972,plain,
    ( spl0_154
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2855,plain,
    ( spl0_163
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2854,f873,f355,f335,f1246]) ).

fof(f2854,plain,
    ( c1_1(a2409)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2842,f357]) ).

fof(f2842,plain,
    ( c1_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(resolution,[],[f874,f337]) ).

fof(f2782,plain,
    ( ~ spl0_83
    | ~ spl0_89
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2781]) ).

fof(f2781,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_89
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2780,f647]) ).

fof(f647,plain,
    ( c0_1(a2450)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f2780,plain,
    ( ~ c0_1(a2450)
    | ~ spl0_83
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2772,f617]) ).

fof(f617,plain,
    ( c3_1(a2450)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_83
  <=> c3_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2772,plain,
    ( ~ c3_1(a2450)
    | ~ c0_1(a2450)
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f667]) ).

fof(f2714,plain,
    ( spl0_45
    | spl0_49
    | ~ spl0_58
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2713]) ).

fof(f2713,plain,
    ( $false
    | spl0_45
    | spl0_49
    | ~ spl0_58
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2712,f492]) ).

fof(f492,plain,
    ( c0_1(a2425)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_58
  <=> c0_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2712,plain,
    ( ~ c0_1(a2425)
    | spl0_45
    | spl0_49
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2700,f447]) ).

fof(f2700,plain,
    ( c2_1(a2425)
    | ~ c0_1(a2425)
    | spl0_45
    | ~ spl0_150 ),
    inference(resolution,[],[f950,f427]) ).

fof(f427,plain,
    ( ~ c3_1(a2425)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_45
  <=> c3_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f950,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2708,plain,
    ( spl0_44
    | ~ spl0_57
    | ~ spl0_150
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f2707]) ).

fof(f2707,plain,
    ( $false
    | spl0_44
    | ~ spl0_57
    | ~ spl0_150
    | spl0_165 ),
    inference(subsumption_resolution,[],[f2706,f487]) ).

fof(f2706,plain,
    ( ~ c0_1(a2484)
    | spl0_44
    | ~ spl0_150
    | spl0_165 ),
    inference(subsumption_resolution,[],[f2697,f1266]) ).

fof(f1266,plain,
    ( ~ c2_1(a2484)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f2697,plain,
    ( c2_1(a2484)
    | ~ c0_1(a2484)
    | spl0_44
    | ~ spl0_150 ),
    inference(resolution,[],[f950,f422]) ).

fof(f422,plain,
    ( ~ c3_1(a2484)
    | spl0_44 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_44
  <=> c3_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2686,plain,
    ( spl0_101
    | spl0_110
    | ~ spl0_114
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2678,f907,f770,f750,f705]) ).

fof(f705,plain,
    ( spl0_101
  <=> c3_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f750,plain,
    ( spl0_110
  <=> c1_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f770,plain,
    ( spl0_114
  <=> c2_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f907,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2678,plain,
    ( c3_1(a2411)
    | spl0_110
    | ~ spl0_114
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2667,f752]) ).

fof(f752,plain,
    ( ~ c1_1(a2411)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f2667,plain,
    ( c1_1(a2411)
    | c3_1(a2411)
    | ~ spl0_114
    | ~ spl0_142 ),
    inference(resolution,[],[f908,f772]) ).

fof(f772,plain,
    ( c2_1(a2411)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f908,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f2659,plain,
    ( ~ spl0_177
    | ~ spl0_84
    | ~ spl0_91
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2658,f899,f655,f620,f2393]) ).

fof(f655,plain,
    ( spl0_91
  <=> c0_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f899,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2658,plain,
    ( ~ c2_1(a2402)
    | ~ spl0_84
    | ~ spl0_91
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2656,f622]) ).

fof(f2656,plain,
    ( ~ c3_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_91
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f657]) ).

fof(f657,plain,
    ( c0_1(a2402)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f900,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f2592,plain,
    ( spl0_100
    | spl0_102
    | ~ spl0_133
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2591]) ).

fof(f2591,plain,
    ( $false
    | spl0_100
    | spl0_102
    | ~ spl0_133
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2582,f712]) ).

fof(f2582,plain,
    ( c2_1(a2404)
    | spl0_100
    | ~ spl0_133
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(resolution,[],[f2549,f702]) ).

fof(f702,plain,
    ( ~ c3_1(a2404)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f700,plain,
    ( spl0_100
  <=> c3_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2549,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_133
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f950,f2400]) ).

fof(f2400,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f979,f869]) ).

fof(f869,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2590,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_133
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2589]) ).

fof(f2589,plain,
    ( $false
    | spl0_127
    | spl0_128
    | ~ spl0_133
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2580,f842]) ).

fof(f2580,plain,
    ( c2_1(a2403)
    | spl0_127
    | ~ spl0_133
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(resolution,[],[f2549,f837]) ).

fof(f837,plain,
    ( ~ c3_1(a2403)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f835,plain,
    ( spl0_127
  <=> c3_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2556,plain,
    ( ~ spl0_31
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2555,f899,f370,f335,f355]) ).

fof(f2555,plain,
    ( ~ c2_1(a2409)
    | ~ spl0_27
    | ~ spl0_34
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1867,f337]) ).

fof(f1867,plain,
    ( ~ c3_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_34
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f372]) ).

fof(f2552,plain,
    ( spl0_173
    | ~ spl0_36
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2550,f930,f868,f380,f2175]) ).

fof(f2175,plain,
    ( spl0_173
  <=> c0_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f380,plain,
    ( spl0_36
  <=> c1_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2550,plain,
    ( c0_1(a2406)
    | ~ spl0_36
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(resolution,[],[f382,f2401]) ).

fof(f2401,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f931,f869]) ).

fof(f382,plain,
    ( c1_1(a2406)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f2546,plain,
    ( ~ spl0_32
    | ~ spl0_26
    | ~ spl0_140
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f2545,f2175,f899,f330,f360]) ).

fof(f360,plain,
    ( spl0_32
  <=> c2_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f330,plain,
    ( spl0_26
  <=> c3_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2545,plain,
    ( ~ c2_1(a2406)
    | ~ spl0_26
    | ~ spl0_140
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2235,f332]) ).

fof(f332,plain,
    ( c3_1(a2406)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f2235,plain,
    ( ~ c3_1(a2406)
    | ~ c2_1(a2406)
    | ~ spl0_140
    | ~ spl0_173 ),
    inference(resolution,[],[f2177,f900]) ).

fof(f2177,plain,
    ( c0_1(a2406)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2175]) ).

fof(f2485,plain,
    ( ~ spl0_57
    | spl0_44
    | ~ spl0_60
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2428,f919,f500,f420,f485]) ).

fof(f2428,plain,
    ( c3_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_60
    | ~ spl0_145 ),
    inference(resolution,[],[f502,f920]) ).

fof(f2434,plain,
    ( ~ spl0_57
    | ~ spl0_165
    | ~ spl0_60
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2429,f877,f500,f1264,f485]) ).

fof(f2429,plain,
    ( ~ c2_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_60
    | ~ spl0_135 ),
    inference(resolution,[],[f502,f878]) ).

fof(f2420,plain,
    ( spl0_52
    | spl0_48
    | ~ spl0_59
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2419,f868,f495,f440,f460]) ).

fof(f460,plain,
    ( spl0_52
  <=> c0_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f440,plain,
    ( spl0_48
  <=> c2_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f495,plain,
    ( spl0_59
  <=> c1_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2419,plain,
    ( c0_1(a2412)
    | spl0_48
    | ~ spl0_59
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2418,f497]) ).

fof(f497,plain,
    ( c1_1(a2412)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f2418,plain,
    ( c0_1(a2412)
    | ~ c1_1(a2412)
    | spl0_48
    | ~ spl0_133 ),
    inference(resolution,[],[f442,f869]) ).

fof(f442,plain,
    ( ~ c2_1(a2412)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f2408,plain,
    ( ~ spl0_171
    | spl0_46
    | ~ spl0_61
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2165,f919,f505,f430,f1716]) ).

fof(f2165,plain,
    ( c3_1(a2420)
    | ~ c0_1(a2420)
    | ~ spl0_61
    | ~ spl0_145 ),
    inference(resolution,[],[f920,f507]) ).

fof(f2321,plain,
    ( ~ spl0_117
    | spl0_105
    | ~ spl0_133
    | spl0_166 ),
    inference(avatar_split_clause,[],[f2076,f1278,f868,f725,f785]) ).

fof(f785,plain,
    ( spl0_117
  <=> c1_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1278,plain,
    ( spl0_166
  <=> c2_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2076,plain,
    ( c0_1(a2432)
    | ~ c1_1(a2432)
    | ~ spl0_133
    | spl0_166 ),
    inference(resolution,[],[f1280,f869]) ).

fof(f1280,plain,
    ( ~ c2_1(a2432)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1278]) ).

fof(f2311,plain,
    ( ~ spl0_113
    | ~ spl0_175
    | ~ spl0_116
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1870,f899,f780,f2308,f765]) ).

fof(f1870,plain,
    ( ~ c3_1(a2437)
    | ~ c2_1(a2437)
    | ~ spl0_116
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f782]) ).

fof(f2304,plain,
    ( ~ spl0_92
    | spl0_174
    | spl0_73
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1812,f868,f565,f2301,f660]) ).

fof(f1812,plain,
    ( c0_1(a2422)
    | ~ c1_1(a2422)
    | spl0_73
    | ~ spl0_133 ),
    inference(resolution,[],[f869,f567]) ).

fof(f2286,plain,
    ( spl0_45
    | ~ spl0_133
    | ~ spl0_143
    | ~ spl0_155
    | ~ spl0_158
    | spl0_168 ),
    inference(avatar_contradiction_clause,[],[f2285]) ).

fof(f2285,plain,
    ( $false
    | spl0_45
    | ~ spl0_133
    | ~ spl0_143
    | ~ spl0_155
    | ~ spl0_158
    | spl0_168 ),
    inference(subsumption_resolution,[],[f2271,f1487]) ).

fof(f2271,plain,
    ( c1_1(a2425)
    | spl0_45
    | ~ spl0_133
    | ~ spl0_143
    | ~ spl0_155
    | ~ spl0_158 ),
    inference(resolution,[],[f2263,f427]) ).

fof(f2263,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_143
    | ~ spl0_155
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f992,f2213]) ).

fof(f2213,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_143
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f912,f2020]) ).

fof(f2020,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f979,f869]) ).

fof(f992,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f991,plain,
    ( spl0_158
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2255,plain,
    ( ~ spl0_113
    | ~ spl0_116
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2254]) ).

fof(f2254,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_116
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2242,f782]) ).

fof(f2242,plain,
    ( ~ c0_1(a2437)
    | ~ spl0_113
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(resolution,[],[f2236,f767]) ).

fof(f2236,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f987,f878]) ).

fof(f2210,plain,
    ( spl0_108
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | spl0_108
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2200,f742]) ).

fof(f742,plain,
    ( ~ c1_1(a2416)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_108
  <=> c1_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2200,plain,
    ( c1_1(a2416)
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_151 ),
    inference(resolution,[],[f2181,f762]) ).

fof(f762,plain,
    ( c3_1(a2416)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_112
  <=> c3_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2181,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f957,f861]) ).

fof(f2123,plain,
    ( spl0_51
    | ~ spl0_54
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2109,f887,f860,f470,f455]) ).

fof(f470,plain,
    ( spl0_54
  <=> c3_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2109,plain,
    ( c0_1(a2455)
    | ~ spl0_54
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(resolution,[],[f2101,f472]) ).

fof(f472,plain,
    ( c3_1(a2455)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f2101,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f888,f861]) ).

fof(f2122,plain,
    ( spl0_77
    | ~ spl0_82
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2121]) ).

fof(f2121,plain,
    ( $false
    | spl0_77
    | ~ spl0_82
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2110,f587]) ).

fof(f587,plain,
    ( ~ c0_1(a2435)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f585,plain,
    ( spl0_77
  <=> c0_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2110,plain,
    ( c0_1(a2435)
    | ~ spl0_82
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(resolution,[],[f2101,f612]) ).

fof(f612,plain,
    ( c3_1(a2435)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_82
  <=> c3_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2042,plain,
    ( ~ spl0_54
    | ~ spl0_55
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2041]) ).

fof(f2041,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_55
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2027,f472]) ).

fof(f2027,plain,
    ( ~ c3_1(a2455)
    | ~ spl0_55
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(resolution,[],[f1981,f477]) ).

fof(f1981,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f925,f874]) ).

fof(f925,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2040,plain,
    ( ~ spl0_26
    | ~ spl0_32
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2039]) ).

fof(f2039,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_32
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2025,f332]) ).

fof(f2025,plain,
    ( ~ c3_1(a2406)
    | ~ spl0_32
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(resolution,[],[f1981,f362]) ).

fof(f362,plain,
    ( c2_1(a2406)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f2038,plain,
    ( spl0_137
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2024,f924,f873,f868,f887]) ).

fof(f2024,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(resolution,[],[f1981,f869]) ).

fof(f2016,plain,
    ( spl0_22
    | ~ spl0_35
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2015]) ).

fof(f2015,plain,
    ( $false
    | spl0_22
    | ~ spl0_35
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2009,f312]) ).

fof(f312,plain,
    ( ~ c0_1(a2468)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl0_22
  <=> c0_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2009,plain,
    ( c0_1(a2468)
    | ~ spl0_35
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(resolution,[],[f1980,f377]) ).

fof(f1980,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f931,f869]) ).

fof(f1979,plain,
    ( ~ spl0_55
    | spl0_161
    | ~ spl0_54
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1829,f873,f470,f1160,f475]) ).

fof(f1829,plain,
    ( c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_54
    | ~ spl0_134 ),
    inference(resolution,[],[f874,f472]) ).

fof(f1953,plain,
    ( spl0_110
    | ~ spl0_114
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1952,plain,
    ( $false
    | spl0_110
    | ~ spl0_114
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1935,f752]) ).

fof(f1935,plain,
    ( c1_1(a2411)
    | ~ spl0_114
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(resolution,[],[f1920,f772]) ).

fof(f1920,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f908,f874]) ).

fof(f1951,plain,
    ( spl0_107
    | ~ spl0_115
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1950]) ).

fof(f1950,plain,
    ( $false
    | spl0_107
    | ~ spl0_115
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1933,f737]) ).

fof(f737,plain,
    ( ~ c1_1(a2413)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_107
  <=> c1_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1933,plain,
    ( c1_1(a2413)
    | ~ spl0_115
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(resolution,[],[f1920,f777]) ).

fof(f777,plain,
    ( c2_1(a2413)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_115
  <=> c2_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1919,plain,
    ( spl0_73
    | ~ spl0_92
    | ~ spl0_133
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1918]) ).

fof(f1918,plain,
    ( $false
    | spl0_73
    | ~ spl0_92
    | ~ spl0_133
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1911,f567]) ).

fof(f1911,plain,
    ( c2_1(a2422)
    | ~ spl0_92
    | ~ spl0_133
    | ~ spl0_148 ),
    inference(resolution,[],[f1905,f662]) ).

fof(f1905,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_133
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f936,f869]) ).

fof(f1896,plain,
    ( spl0_105
    | ~ spl0_117
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1895]) ).

fof(f1895,plain,
    ( $false
    | spl0_105
    | ~ spl0_117
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1887,f727]) ).

fof(f1887,plain,
    ( c0_1(a2432)
    | ~ spl0_117
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(resolution,[],[f1883,f787]) ).

fof(f787,plain,
    ( c1_1(a2432)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f1883,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f931,f869]) ).

fof(f1861,plain,
    ( ~ spl0_31
    | ~ spl0_34
    | ~ spl0_135
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f1860]) ).

fof(f1860,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_135
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f1859,f372]) ).

fof(f1859,plain,
    ( ~ c0_1(a2409)
    | ~ spl0_31
    | ~ spl0_135
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f1849,f357]) ).

fof(f1849,plain,
    ( ~ c2_1(a2409)
    | ~ c0_1(a2409)
    | ~ spl0_135
    | ~ spl0_163 ),
    inference(resolution,[],[f878,f1248]) ).

fof(f1847,plain,
    ( ~ spl0_170
    | spl0_80
    | ~ spl0_81
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1843,f873,f605,f600,f1570]) ).

fof(f1843,plain,
    ( ~ c2_1(a2417)
    | spl0_80
    | ~ spl0_81
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1835,f602]) ).

fof(f1835,plain,
    ( c1_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_81
    | ~ spl0_134 ),
    inference(resolution,[],[f874,f607]) ).

fof(f1804,plain,
    ( spl0_70
    | spl0_75
    | ~ spl0_136
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1803]) ).

fof(f1803,plain,
    ( $false
    | spl0_70
    | spl0_75
    | ~ spl0_136
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1795,f577]) ).

fof(f1795,plain,
    ( c0_1(a2478)
    | spl0_70
    | ~ spl0_136
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f1775,f552]) ).

fof(f552,plain,
    ( ~ c3_1(a2478)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_70
  <=> c3_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1775,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f883,f1191]) ).

fof(f1191,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f916,f942]) ).

fof(f942,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1769,plain,
    ( spl0_74
    | spl0_77
    | ~ spl0_138
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1768,plain,
    ( $false
    | spl0_74
    | spl0_77
    | ~ spl0_138
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f1767,f587]) ).

fof(f1767,plain,
    ( c0_1(a2435)
    | spl0_74
    | ~ spl0_138
    | ~ spl0_153 ),
    inference(resolution,[],[f572,f1710]) ).

fof(f1710,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_138
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f969,f892]) ).

fof(f969,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl0_153
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f572,plain,
    ( ~ c2_1(a2435)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_74
  <=> c2_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1758,plain,
    ( spl0_105
    | ~ spl0_117
    | ~ spl0_137
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1757,plain,
    ( $false
    | spl0_105
    | ~ spl0_117
    | ~ spl0_137
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1747,f727]) ).

fof(f1747,plain,
    ( c0_1(a2432)
    | ~ spl0_117
    | ~ spl0_137
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f1711,f787]) ).

fof(f1711,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_137
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f888,f1191]) ).

fof(f1709,plain,
    ( spl0_121
    | ~ spl0_122
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_141
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | spl0_121
    | ~ spl0_122
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_141
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1706,f822]) ).

fof(f1706,plain,
    ( ~ c0_1(a2408)
    | spl0_121
    | ~ spl0_122
    | ~ spl0_139
    | ~ spl0_141
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f1623,f1227]) ).

fof(f1227,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f896,f1191]) ).

fof(f1623,plain,
    ( c1_1(a2408)
    | spl0_121
    | ~ spl0_122
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1621,f807]) ).

fof(f807,plain,
    ( ~ c2_1(a2408)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_121
  <=> c2_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1621,plain,
    ( c1_1(a2408)
    | c2_1(a2408)
    | ~ spl0_122
    | ~ spl0_141 ),
    inference(resolution,[],[f812,f904]) ).

fof(f1674,plain,
    ( spl0_170
    | spl0_80
    | ~ spl0_81
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1530,f903,f605,f600,f1570]) ).

fof(f1530,plain,
    ( c2_1(a2417)
    | spl0_80
    | ~ spl0_81
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1519,f602]) ).

fof(f1519,plain,
    ( c1_1(a2417)
    | c2_1(a2417)
    | ~ spl0_81
    | ~ spl0_141 ),
    inference(resolution,[],[f904,f607]) ).

fof(f1646,plain,
    ( spl0_71
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1645]) ).

fof(f1645,plain,
    ( $false
    | spl0_71
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1644,f652]) ).

fof(f652,plain,
    ( c0_1(a2405)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_90
  <=> c0_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1644,plain,
    ( ~ c0_1(a2405)
    | spl0_71
    | ~ spl0_86
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1639,f557]) ).

fof(f557,plain,
    ( ~ c3_1(a2405)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl0_71
  <=> c3_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1639,plain,
    ( c3_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_86
    | ~ spl0_156 ),
    inference(resolution,[],[f983,f632]) ).

fof(f632,plain,
    ( c2_1(a2405)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl0_86
  <=> c2_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1612,plain,
    ( spl0_10
    | spl0_6
    | spl0_8
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1611,f978,f240,f230,f250]) ).

fof(f250,plain,
    ( spl0_10
  <=> c1_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f230,plain,
    ( spl0_6
  <=> c2_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f240,plain,
    ( spl0_8
  <=> c0_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1611,plain,
    ( c1_1(a2453)
    | spl0_6
    | spl0_8
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1598,f242]) ).

fof(f242,plain,
    ( ~ c0_1(a2453)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f1598,plain,
    ( c1_1(a2453)
    | c0_1(a2453)
    | spl0_6
    | ~ spl0_155 ),
    inference(resolution,[],[f979,f232]) ).

fof(f232,plain,
    ( ~ c2_1(a2453)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f1584,plain,
    ( ~ spl0_166
    | spl0_105
    | ~ spl0_111
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1276,f856,f755,f725,f1278]) ).

fof(f1276,plain,
    ( ~ c2_1(a2432)
    | spl0_105
    | ~ spl0_111
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1274,f727]) ).

fof(f1274,plain,
    ( c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ spl0_111
    | ~ spl0_130 ),
    inference(resolution,[],[f757,f857]) ).

fof(f1568,plain,
    ( spl0_76
    | spl0_80
    | ~ spl0_81
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1563,f860,f605,f600,f580]) ).

fof(f1563,plain,
    ( c0_1(a2417)
    | spl0_80
    | ~ spl0_81
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1555,f602]) ).

fof(f1555,plain,
    ( c1_1(a2417)
    | c0_1(a2417)
    | ~ spl0_81
    | ~ spl0_131 ),
    inference(resolution,[],[f861,f607]) ).

fof(f1560,plain,
    ( spl0_161
    | spl0_51
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1559,f860,f470,f455,f1160]) ).

fof(f1559,plain,
    ( c1_1(a2455)
    | spl0_51
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1550,f457]) ).

fof(f1550,plain,
    ( c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_54
    | ~ spl0_131 ),
    inference(resolution,[],[f861,f472]) ).

fof(f1558,plain,
    ( spl0_155
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1557,f891,f860,f978]) ).

fof(f1557,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(duplicate_literal_removal,[],[f1547]) ).

fof(f1547,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_138 ),
    inference(resolution,[],[f861,f892]) ).

fof(f1534,plain,
    ( spl0_103
    | spl0_108
    | ~ spl0_112
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1531,f903,f760,f740,f715]) ).

fof(f715,plain,
    ( spl0_103
  <=> c2_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1531,plain,
    ( c2_1(a2416)
    | spl0_108
    | ~ spl0_112
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1520,f742]) ).

fof(f1520,plain,
    ( c1_1(a2416)
    | c2_1(a2416)
    | ~ spl0_112
    | ~ spl0_141 ),
    inference(resolution,[],[f904,f762]) ).

fof(f1488,plain,
    ( ~ spl0_168
    | spl0_49
    | spl0_45
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1482,f941,f425,f445,f1485]) ).

fof(f1482,plain,
    ( c2_1(a2425)
    | ~ c1_1(a2425)
    | spl0_45
    | ~ spl0_149 ),
    inference(resolution,[],[f427,f942]) ).

fof(f1462,plain,
    ( spl0_50
    | spl0_53
    | spl0_47
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1461,f891,f435,f465,f450]) ).

fof(f450,plain,
    ( spl0_50
  <=> c2_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f465,plain,
    ( spl0_53
  <=> c0_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f435,plain,
    ( spl0_47
  <=> c3_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1461,plain,
    ( c0_1(a2428)
    | c2_1(a2428)
    | spl0_47
    | ~ spl0_138 ),
    inference(resolution,[],[f437,f892]) ).

fof(f437,plain,
    ( ~ c3_1(a2428)
    | spl0_47 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1415,plain,
    ( ~ spl0_35
    | ~ spl0_149
    | ~ spl0_154
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f1414]) ).

fof(f1414,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_149
    | ~ spl0_154
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1412,f377]) ).

fof(f1412,plain,
    ( ~ c1_1(a2468)
    | ~ spl0_149
    | ~ spl0_154
    | spl0_162 ),
    inference(resolution,[],[f1221,f1118]) ).

fof(f1118,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_149
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f973,f942]) ).

fof(f1221,plain,
    ( ~ c2_1(a2468)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1353,plain,
    ( spl0_104
    | spl0_107
    | ~ spl0_115
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1352]) ).

fof(f1352,plain,
    ( $false
    | spl0_104
    | spl0_107
    | ~ spl0_115
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1351,f722]) ).

fof(f722,plain,
    ( ~ c0_1(a2413)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f720,plain,
    ( spl0_104
  <=> c0_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1351,plain,
    ( c0_1(a2413)
    | spl0_107
    | ~ spl0_115
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1338,f737]) ).

fof(f1338,plain,
    ( c1_1(a2413)
    | c0_1(a2413)
    | ~ spl0_115
    | ~ spl0_143 ),
    inference(resolution,[],[f912,f777]) ).

fof(f1272,plain,
    ( ~ spl0_57
    | ~ spl0_60
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1268,f941,f915,f895,f500,f485]) ).

fof(f1268,plain,
    ( ~ c0_1(a2484)
    | ~ spl0_60
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f502,f1227]) ).

fof(f1250,plain,
    ( ~ spl0_89
    | ~ spl0_93
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1231,f941,f915,f895,f665,f645]) ).

fof(f1231,plain,
    ( ~ c0_1(a2450)
    | ~ spl0_93
    | ~ spl0_139
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f1227,f667]) ).

fof(f1214,plain,
    ( ~ spl0_123
    | ~ spl0_125
    | ~ spl0_135
    | ~ spl0_149
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1213]) ).

fof(f1213,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_135
    | ~ spl0_149
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1208,f817]) ).

fof(f1208,plain,
    ( ~ c0_1(a2410)
    | ~ spl0_125
    | ~ spl0_135
    | ~ spl0_149
    | ~ spl0_154 ),
    inference(resolution,[],[f1192,f827]) ).

fof(f1192,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_149
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f878,f1118]) ).

fof(f1189,plain,
    ( ~ spl0_125
    | spl0_120
    | ~ spl0_149
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1187,f972,f941,f800,f825]) ).

fof(f1187,plain,
    ( ~ c1_1(a2410)
    | spl0_120
    | ~ spl0_149
    | ~ spl0_154 ),
    inference(resolution,[],[f802,f1118]) ).

fof(f802,plain,
    ( ~ c2_1(a2410)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f1186,plain,
    ( spl0_46
    | ~ spl0_61
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1185]) ).

fof(f1185,plain,
    ( $false
    | spl0_46
    | ~ spl0_61
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1178,f432]) ).

fof(f1178,plain,
    ( c3_1(a2420)
    | ~ spl0_61
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(resolution,[],[f1164,f507]) ).

fof(f1164,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_144
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f916,f942]) ).

fof(f1158,plain,
    ( ~ spl0_55
    | spl0_51
    | ~ spl0_54
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1151,f856,f470,f455,f475]) ).

fof(f1151,plain,
    ( ~ c2_1(a2455)
    | spl0_51
    | ~ spl0_54
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1141,f457]) ).

fof(f1141,plain,
    ( c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_54
    | ~ spl0_130 ),
    inference(resolution,[],[f857,f472]) ).

fof(f1117,plain,
    ( spl0_74
    | spl0_77
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1116,plain,
    ( $false
    | spl0_74
    | spl0_77
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1108,f587]) ).

fof(f1108,plain,
    ( c0_1(a2435)
    | spl0_74
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(resolution,[],[f1107,f572]) ).

fof(f1107,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f979,f869]) ).

fof(f1106,plain,
    ( spl0_100
    | spl0_102
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | spl0_100
    | spl0_102
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1102,f712]) ).

fof(f1102,plain,
    ( c2_1(a2404)
    | spl0_100
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(resolution,[],[f1093,f702]) ).

fof(f1093,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f950,f892]) ).

fof(f1104,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1103,plain,
    ( $false
    | spl0_127
    | spl0_128
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1101,f842]) ).

fof(f1101,plain,
    ( c2_1(a2403)
    | spl0_127
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(resolution,[],[f1093,f837]) ).

fof(f1091,plain,
    ( ~ spl0_29
    | spl0_25
    | ~ spl0_28
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1086,f873,f340,f325,f345]) ).

fof(f345,plain,
    ( spl0_29
  <=> c2_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f325,plain,
    ( spl0_25
  <=> c1_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f340,plain,
    ( spl0_28
  <=> c3_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1086,plain,
    ( ~ c2_1(a2427)
    | spl0_25
    | ~ spl0_28
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1078,f327]) ).

fof(f327,plain,
    ( ~ c1_1(a2427)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f1078,plain,
    ( c1_1(a2427)
    | ~ c2_1(a2427)
    | ~ spl0_28
    | ~ spl0_134 ),
    inference(resolution,[],[f874,f342]) ).

fof(f342,plain,
    ( c3_1(a2427)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f1070,plain,
    ( spl0_159
    | spl0_127
    | spl0_128
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1049,f891,f840,f835,f1066]) ).

fof(f1049,plain,
    ( c0_1(a2403)
    | spl0_127
    | spl0_128
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1046,f842]) ).

fof(f1046,plain,
    ( c0_1(a2403)
    | c2_1(a2403)
    | spl0_127
    | ~ spl0_138 ),
    inference(resolution,[],[f892,f837]) ).

fof(f1069,plain,
    ( ~ spl0_129
    | spl0_159
    | spl0_128
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1032,f868,f840,f1066,f845]) ).

fof(f1032,plain,
    ( c0_1(a2403)
    | ~ c1_1(a2403)
    | spl0_128
    | ~ spl0_133 ),
    inference(resolution,[],[f869,f842]) ).

fof(f1064,plain,
    ( ~ spl0_129
    | spl0_127
    | spl0_128
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1061,f941,f840,f835,f845]) ).

fof(f1061,plain,
    ( ~ c1_1(a2403)
    | spl0_127
    | spl0_128
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1057,f842]) ).

fof(f1057,plain,
    ( c2_1(a2403)
    | ~ c1_1(a2403)
    | spl0_127
    | ~ spl0_149 ),
    inference(resolution,[],[f942,f837]) ).

fof(f1011,plain,
    ( spl0_133
    | spl0_148
    | spl0_132
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f206,f864,f935,f868]) ).

fof(f206,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f1010,plain,
    ( spl0_155
    | spl0_143
    | spl0_157
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f206,f986,f911,f978]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f1009,plain,
    ( spl0_155
    | spl0_149
    | spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f206,f972,f941,f978]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f1008,plain,
    ( spl0_155
    | spl0_150
    | spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f206,f972,f949,f978]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f1007,plain,
    ( spl0_138
    | spl0_147
    | spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f206,f972,f930,f891]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f1005,plain,
    ( spl0_149
    | spl0_157
    | spl0_140
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f203,f206,f899,f986,f941]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f1004,plain,
    ( spl0_138
    | spl0_131
    | spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f206,f924,f860,f891]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f1003,plain,
    ( spl0_150
    | spl0_139
    | spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f206,f873,f895,f949]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f1002,plain,
    ( spl0_155
    | spl0_134
    | spl0_126
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f206,f830,f873,f978]) ).

fof(f830,plain,
    ( spl0_126
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f1001,plain,
    ( spl0_141
    | spl0_134
    | spl0_126
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f206,f830,f873,f903]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f999,plain,
    ( spl0_158
    | spl0_147
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f206,f690,f930,f991]) ).

fof(f690,plain,
    ( spl0_98
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f998,plain,
    ( spl0_136
    | spl0_135
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f206,f680,f877,f882]) ).

fof(f680,plain,
    ( spl0_96
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f997,plain,
    ( spl0_148
    | spl0_142
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f206,f680,f907,f935]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f996,plain,
    ( spl0_156
    | spl0_153
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f206,f680,f968,f982]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f994,plain,
    ( spl0_130
    | spl0_134
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f206,f680,f873,f856]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f989,plain,
    ( spl0_133
    | spl0_135
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f206,f535,f877,f868]) ).

fof(f535,plain,
    ( spl0_67
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f984,plain,
    ( spl0_135
    | spl0_156
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f206,f520,f982,f877]) ).

fof(f520,plain,
    ( spl0_64
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f195,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f980,plain,
    ( spl0_155
    | spl0_131
    | spl0_66
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f206,f530,f860,f978]) ).

fof(f530,plain,
    ( spl0_66
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f976,plain,
    ( spl0_145
    | spl0_154
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f206,f510,f972,f919]) ).

fof(f510,plain,
    ( spl0_62
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f193,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp30
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f974,plain,
    ( spl0_137
    | spl0_154
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f206,f520,f972,f887]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f970,plain,
    ( spl0_153
    | spl0_139
    | spl0_69
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f206,f545,f895,f968]) ).

fof(f545,plain,
    ( spl0_69
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f965,plain,
    ( spl0_145
    | spl0_142
    | spl0_39
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f206,f395,f907,f919]) ).

fof(f395,plain,
    ( spl0_39
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f964,plain,
    ( spl0_149
    | spl0_141
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f206,f410,f903,f941]) ).

fof(f410,plain,
    ( spl0_42
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f958,plain,
    ( spl0_143
    | spl0_151
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f206,f280,f956,f911]) ).

fof(f280,plain,
    ( spl0_16
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f954,plain,
    ( spl0_149
    | spl0_126
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f206,f790,f830,f941]) ).

fof(f790,plain,
    ( spl0_118
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp1
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f952,plain,
    ( spl0_137
    | spl0_126
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f206,f670,f830,f887]) ).

fof(f670,plain,
    ( spl0_94
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp1
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f951,plain,
    ( spl0_150
    | spl0_119
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f206,f690,f795,f949]) ).

fof(f795,plain,
    ( spl0_119
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp5
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f947,plain,
    ( spl0_143
    | spl0_118
    | spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f206,f685,f790,f911]) ).

fof(f685,plain,
    ( spl0_97
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp6
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f946,plain,
    ( spl0_131
    | spl0_118
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f206,f675,f790,f860]) ).

fof(f675,plain,
    ( spl0_95
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp6
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f945,plain,
    ( spl0_130
    | spl0_118
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f206,f695,f790,f856]) ).

fof(f695,plain,
    ( spl0_99
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp6
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f944,plain,
    ( spl0_134
    | spl0_99
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f206,f675,f695,f873]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp21
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f943,plain,
    ( spl0_149
    | spl0_96
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f206,f510,f680,f941]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp2
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f939,plain,
    ( spl0_132
    | spl0_99
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f206,f510,f695,f864]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp21
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f938,plain,
    ( spl0_148
    | spl0_98
    | spl0_65
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f206,f525,f690,f935]) ).

fof(f525,plain,
    ( spl0_65
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp19
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f937,plain,
    ( spl0_148
    | spl0_97
    | spl0_65
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f206,f525,f685,f935]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp7
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f932,plain,
    ( spl0_147
    | spl0_95
    | spl0_69
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f206,f545,f675,f930]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp11
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f927,plain,
    ( spl0_146
    | spl0_99
    | spl0_66
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f206,f530,f695,f924]) ).

fof(f170,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp21
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f926,plain,
    ( spl0_146
    | spl0_95
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f206,f535,f675,f924]) ).

fof(f171,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp11
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f922,plain,
    ( spl0_138
    | spl0_126
    | spl0_39
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f206,f395,f830,f891]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp1
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f921,plain,
    ( spl0_145
    | spl0_118
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f206,f415,f790,f919]) ).

fof(f415,plain,
    ( spl0_43
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp26
      | hskp6
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f917,plain,
    ( spl0_144
    | spl0_118
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f206,f410,f790,f915]) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp6
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f909,plain,
    ( spl0_142
    | spl0_69
    | spl0_38
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f206,f390,f545,f907]) ).

fof(f390,plain,
    ( spl0_38
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp12
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f901,plain,
    ( spl0_140
    | spl0_64
    | spl0_41
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f206,f405,f520,f899]) ).

fof(f405,plain,
    ( spl0_41
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f169,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp20
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f897,plain,
    ( spl0_139
    | spl0_42
    | spl0_39
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f206,f395,f410,f895]) ).

fof(f168,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp23
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f893,plain,
    ( spl0_138
    | spl0_126
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f206,f295,f830,f891]) ).

fof(f295,plain,
    ( spl0_19
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp1
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f889,plain,
    ( spl0_137
    | spl0_99
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f206,f285,f695,f887]) ).

fof(f285,plain,
    ( spl0_17
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp21
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f884,plain,
    ( spl0_136
    | spl0_63
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f206,f275,f515,f882]) ).

fof(f515,plain,
    ( spl0_63
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f275,plain,
    ( spl0_15
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp3
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f880,plain,
    ( spl0_133
    | spl0_66
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f206,f280,f530,f868]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f875,plain,
    ( spl0_134
    | spl0_67
    | spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f206,f270,f535,f873]) ).

fof(f270,plain,
    ( spl0_14
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f871,plain,
    ( spl0_133
    | spl0_38
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f206,f295,f390,f868]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp16
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f870,plain,
    ( spl0_133
    | spl0_41
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f206,f285,f405,f868]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp18
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f866,plain,
    ( spl0_132
    | spl0_119
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f206,f220,f795,f864]) ).

fof(f220,plain,
    ( spl0_4
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp5
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f862,plain,
    ( spl0_131
    | spl0_69
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f206,f545,f860]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f858,plain,
    ( spl0_130
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f206,f535,f856]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f854,plain,
    ( spl0_119
    | spl0_98
    | spl0_65 ),
    inference(avatar_split_clause,[],[f37,f525,f690,f795]) ).

fof(f37,axiom,
    ( hskp25
    | hskp19
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f853,plain,
    ( spl0_94
    | spl0_97
    | spl0_40 ),
    inference(avatar_split_clause,[],[f38,f400,f685,f670]) ).

fof(f400,plain,
    ( spl0_40
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f38,axiom,
    ( hskp8
    | hskp7
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f852,plain,
    ( spl0_119
    | spl0_63
    | spl0_41 ),
    inference(avatar_split_clause,[],[f36,f405,f515,f795]) ).

fof(f36,axiom,
    ( hskp18
    | hskp3
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f851,plain,
    ( spl0_98
    | spl0_62
    | spl0_43 ),
    inference(avatar_split_clause,[],[f34,f415,f510,f690]) ).

fof(f34,axiom,
    ( hskp26
    | hskp30
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f850,plain,
    ( spl0_95
    | spl0_40
    | spl0_43 ),
    inference(avatar_split_clause,[],[f35,f415,f400,f675]) ).

fof(f35,axiom,
    ( hskp26
    | hskp8
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f848,plain,
    ( spl0_129
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f84,f830,f845]) ).

fof(f84,axiom,
    ( ~ hskp1
    | c1_1(a2403) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f843,plain,
    ( ~ spl0_128
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f132,f830,f840]) ).

fof(f132,axiom,
    ( ~ hskp1
    | ~ c2_1(a2403) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f838,plain,
    ( ~ spl0_127
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f133,f830,f835]) ).

fof(f133,axiom,
    ( ~ hskp1
    | ~ c3_1(a2403) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f828,plain,
    ( spl0_125
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f78,f790,f825]) ).

fof(f78,axiom,
    ( ~ hskp6
    | c1_1(a2410) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f823,plain,
    ( spl0_124
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f79,f795,f820]) ).

fof(f79,axiom,
    ( ~ hskp5
    | c0_1(a2408) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f818,plain,
    ( spl0_123
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f77,f790,f815]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c0_1(a2410) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f813,plain,
    ( spl0_122
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f80,f795,f810]) ).

fof(f80,axiom,
    ( ~ hskp5
    | c3_1(a2408) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f808,plain,
    ( ~ spl0_121
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f125,f795,f805]) ).

fof(f125,axiom,
    ( ~ hskp5
    | ~ c2_1(a2408) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f803,plain,
    ( ~ spl0_120
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f124,f790,f800]) ).

fof(f124,axiom,
    ( ~ hskp6
    | ~ c2_1(a2410) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f798,plain,
    ( spl0_1
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f27,f795,f206]) ).

fof(f27,axiom,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f788,plain,
    ( spl0_117
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f60,f690,f785]) ).

fof(f60,axiom,
    ( ~ hskp19
    | c1_1(a2432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f783,plain,
    ( spl0_116
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f57,f695,f780]) ).

fof(f57,axiom,
    ( ~ hskp21
    | c0_1(a2437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f778,plain,
    ( spl0_115
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f74,f670,f775]) ).

fof(f74,axiom,
    ( ~ hskp9
    | c2_1(a2413) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f773,plain,
    ( spl0_114
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f76,f685,f770]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c2_1(a2411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f768,plain,
    ( spl0_113
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f58,f695,f765]) ).

fof(f58,axiom,
    ( ~ hskp21
    | c2_1(a2437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f763,plain,
    ( spl0_112
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f72,f675,f760]) ).

fof(f72,axiom,
    ( ~ hskp11
    | c3_1(a2416) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f758,plain,
    ( spl0_111
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f61,f690,f755]) ).

fof(f61,axiom,
    ( ~ hskp19
    | c3_1(a2432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f753,plain,
    ( ~ spl0_110
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f122,f685,f750]) ).

fof(f122,axiom,
    ( ~ hskp7
    | ~ c1_1(a2411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f748,plain,
    ( ~ spl0_109
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f129,f680,f745]) ).

fof(f129,axiom,
    ( ~ hskp2
    | ~ c1_1(a2404) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f743,plain,
    ( ~ spl0_108
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f114,f675,f740]) ).

fof(f114,axiom,
    ( ~ hskp11
    | ~ c1_1(a2416) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f738,plain,
    ( ~ spl0_107
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f119,f670,f735]) ).

fof(f119,axiom,
    ( ~ hskp9
    | ~ c1_1(a2413) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f733,plain,
    ( ~ spl0_106
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f99,f695,f730]) ).

fof(f99,axiom,
    ( ~ hskp21
    | ~ c1_1(a2437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f728,plain,
    ( ~ spl0_105
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f102,f690,f725]) ).

fof(f102,axiom,
    ( ~ hskp19
    | ~ c0_1(a2432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f723,plain,
    ( ~ spl0_104
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f118,f670,f720]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c0_1(a2413) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f718,plain,
    ( ~ spl0_103
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f115,f675,f715]) ).

fof(f115,axiom,
    ( ~ hskp11
    | ~ c2_1(a2416) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f713,plain,
    ( ~ spl0_102
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f130,f680,f710]) ).

fof(f130,axiom,
    ( ~ hskp2
    | ~ c2_1(a2404) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f708,plain,
    ( ~ spl0_101
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f123,f685,f705]) ).

fof(f123,axiom,
    ( ~ hskp7
    | ~ c3_1(a2411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f703,plain,
    ( ~ spl0_100
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f131,f680,f700]) ).

fof(f131,axiom,
    ( ~ hskp2
    | ~ c3_1(a2404) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f693,plain,
    ( spl0_1
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f13,f690,f206]) ).

fof(f13,axiom,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f668,plain,
    ( spl0_93
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f43,f510,f665]) ).

fof(f43,axiom,
    ( ~ hskp30
    | c1_1(a2450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f663,plain,
    ( spl0_92
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f65,f535,f660]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c1_1(a2422) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f658,plain,
    ( spl0_91
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f85,f530,f655]) ).

fof(f85,axiom,
    ( ~ hskp0
    | c0_1(a2402) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f653,plain,
    ( spl0_90
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f82,f515,f650]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c0_1(a2405) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f648,plain,
    ( spl0_89
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f42,f510,f645]) ).

fof(f42,axiom,
    ( ~ hskp30
    | c0_1(a2450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f638,plain,
    ( spl0_87
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f53,f525,f635]) ).

fof(f53,axiom,
    ( ~ hskp25
    | c2_1(a2478) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f633,plain,
    ( spl0_86
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f83,f515,f630]) ).

fof(f83,axiom,
    ( ~ hskp3
    | c2_1(a2405) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f628,plain,
    ( spl0_85
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f66,f535,f625]) ).

fof(f66,axiom,
    ( ~ hskp15
    | c3_1(a2422) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f623,plain,
    ( spl0_84
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f86,f530,f620]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c3_1(a2402) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f618,plain,
    ( spl0_83
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f44,f510,f615]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c3_1(a2450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f613,plain,
    ( spl0_82
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f59,f520,f610]) ).

fof(f59,axiom,
    ( ~ hskp20
    | c3_1(a2435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f608,plain,
    ( spl0_81
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f71,f545,f605]) ).

fof(f71,axiom,
    ( ~ hskp12
    | c3_1(a2417) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f603,plain,
    ( ~ spl0_80
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f113,f545,f600]) ).

fof(f113,axiom,
    ( ~ hskp12
    | ~ c1_1(a2417) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f598,plain,
    ( ~ spl0_79
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f134,f530,f595]) ).

fof(f134,axiom,
    ( ~ hskp0
    | ~ c1_1(a2402) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f588,plain,
    ( ~ spl0_77
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f100,f520,f585]) ).

fof(f100,axiom,
    ( ~ hskp20
    | ~ c0_1(a2435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f583,plain,
    ( ~ spl0_76
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f112,f545,f580]) ).

fof(f112,axiom,
    ( ~ hskp12
    | ~ c0_1(a2417) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f578,plain,
    ( ~ spl0_75
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f91,f525,f575]) ).

fof(f91,axiom,
    ( ~ hskp25
    | ~ c0_1(a2478) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f573,plain,
    ( ~ spl0_74
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f101,f520,f570]) ).

fof(f101,axiom,
    ( ~ hskp20
    | ~ c2_1(a2435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f568,plain,
    ( ~ spl0_73
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f109,f535,f565]) ).

fof(f109,axiom,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f558,plain,
    ( ~ spl0_71
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f128,f515,f555]) ).

fof(f128,axiom,
    ( ~ hskp3
    | ~ c3_1(a2405) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f553,plain,
    ( ~ spl0_70
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f92,f525,f550]) ).

fof(f92,axiom,
    ( ~ hskp25
    | ~ c3_1(a2478) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f528,plain,
    ( spl0_1
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f7,f525,f206]) ).

fof(f7,axiom,
    ( ~ hskp25
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f508,plain,
    ( spl0_61
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f67,f395,f505]) ).

fof(f67,axiom,
    ( ~ hskp14
    | c1_1(a2420) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f503,plain,
    ( spl0_60
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f52,f415,f500]) ).

fof(f52,axiom,
    ( ~ hskp26
    | c1_1(a2484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f498,plain,
    ( spl0_59
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f75,f400,f495]) ).

fof(f75,axiom,
    ( ~ hskp8
    | c1_1(a2412) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f493,plain,
    ( spl0_58
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f64,f390,f490]) ).

fof(f64,axiom,
    ( ~ hskp16
    | c0_1(a2425) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f488,plain,
    ( spl0_57
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f51,f415,f485]) ).

fof(f51,axiom,
    ( ~ hskp26
    | c0_1(a2484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f483,plain,
    ( spl0_56
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f68,f395,f480]) ).

fof(f68,axiom,
    ( ~ hskp14
    | c2_1(a2420) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f478,plain,
    ( spl0_55
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f55,f410,f475]) ).

fof(f55,axiom,
    ( ~ hskp23
    | c2_1(a2455) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f473,plain,
    ( spl0_54
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f56,f410,f470]) ).

fof(f56,axiom,
    ( ~ hskp23
    | c3_1(a2455) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f468,plain,
    ( ~ spl0_53
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f103,f405,f465]) ).

fof(f103,axiom,
    ( ~ hskp18
    | ~ c0_1(a2428) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f463,plain,
    ( ~ spl0_52
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f120,f400,f460]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c0_1(a2412) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f458,plain,
    ( ~ spl0_51
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f95,f410,f455]) ).

fof(f95,axiom,
    ( ~ hskp23
    | ~ c0_1(a2455) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f453,plain,
    ( ~ spl0_50
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f104,f405,f450]) ).

fof(f104,axiom,
    ( ~ hskp18
    | ~ c2_1(a2428) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f448,plain,
    ( ~ spl0_49
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f107,f390,f445]) ).

fof(f107,axiom,
    ( ~ hskp16
    | ~ c2_1(a2425) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f443,plain,
    ( ~ spl0_48
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f121,f400,f440]) ).

fof(f121,axiom,
    ( ~ hskp8
    | ~ c2_1(a2412) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f438,plain,
    ( ~ spl0_47
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f105,f405,f435]) ).

fof(f105,axiom,
    ( ~ hskp18
    | ~ c3_1(a2428) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f433,plain,
    ( ~ spl0_46
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f110,f395,f430]) ).

fof(f110,axiom,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f428,plain,
    ( ~ spl0_45
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f108,f390,f425]) ).

fof(f108,axiom,
    ( ~ hskp16
    | ~ c3_1(a2425) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f423,plain,
    ( ~ spl0_44
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f90,f415,f420]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f388,plain,
    ( spl0_37
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f69,f295,f385]) ).

fof(f69,axiom,
    ( ~ hskp13
    | c1_1(a2418) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f383,plain,
    ( spl0_36
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f48,f275,f380]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c1_1(a2406) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f378,plain,
    ( spl0_35
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f54,f270,f375]) ).

fof(f54,axiom,
    ( ~ hskp24
    | c1_1(a2468) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f373,plain,
    ( spl0_34
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f45,f280,f370]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c0_1(a2409) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f363,plain,
    ( spl0_32
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f49,f275,f360]) ).

fof(f49,axiom,
    ( ~ hskp28
    | c2_1(a2406) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f358,plain,
    ( spl0_31
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f46,f280,f355]) ).

fof(f46,axiom,
    ( ~ hskp29
    | c2_1(a2409) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f353,plain,
    ( spl0_30
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f70,f295,f350]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c2_1(a2418) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f348,plain,
    ( spl0_29
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f62,f285,f345]) ).

fof(f62,axiom,
    ( ~ hskp17
    | c2_1(a2427) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f343,plain,
    ( spl0_28
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f63,f285,f340]) ).

fof(f63,axiom,
    ( ~ hskp17
    | c3_1(a2427) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f338,plain,
    ( spl0_27
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f47,f280,f335]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c3_1(a2409) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f333,plain,
    ( spl0_26
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f50,f275,f330]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c3_1(a2406) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f328,plain,
    ( ~ spl0_25
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f106,f285,f325]) ).

fof(f106,axiom,
    ( ~ hskp17
    | ~ c1_1(a2427) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f318,plain,
    ( ~ spl0_23
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f111,f295,f315]) ).

fof(f111,axiom,
    ( ~ hskp13
    | ~ c0_1(a2418) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f313,plain,
    ( ~ spl0_22
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f93,f270,f310]) ).

fof(f93,axiom,
    ( ~ hskp24
    | ~ c0_1(a2468) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f253,plain,
    ( ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f97,f220,f250]) ).

fof(f97,axiom,
    ( ~ hskp22
    | ~ c1_1(a2453) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f243,plain,
    ( ~ spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f96,f220,f240]) ).

fof(f96,axiom,
    ( ~ hskp22
    | ~ c0_1(a2453) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f233,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f98,f220,f230]) ).

fof(f98,axiom,
    ( ~ hskp22
    | ~ c2_1(a2453) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SYN488-1 : TPTP v8.1.2. Released v2.1.0.
% 0.09/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 17:56:53 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.34  % (30565)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.36  % (30566)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36  % (30572)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36  % (30567)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36  % (30570)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.36  % (30569)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.36  % (30568)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.36  % (30571)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [3]
% 0.11/0.36  TRYING [3]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [32]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  TRYING [3]
% 0.11/0.36  TRYING [3]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [4]
% 0.11/0.37  TRYING [4]
% 0.11/0.38  TRYING [5]
% 0.11/0.38  TRYING [5]
% 0.11/0.39  TRYING [5]
% 0.11/0.39  TRYING [5]
% 0.11/0.39  % (30571)First to succeed.
% 0.11/0.40  % (30571)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30565"
% 0.11/0.40  % (30571)Refutation found. Thanks to Tanya!
% 0.11/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.41  % (30571)------------------------------
% 0.11/0.41  % (30571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.41  % (30571)Termination reason: Refutation
% 0.11/0.41  
% 0.11/0.41  % (30571)Memory used [KB]: 1917
% 0.11/0.41  % (30571)Time elapsed: 0.047 s
% 0.11/0.41  % (30571)Instructions burned: 90 (million)
% 0.11/0.41  % (30565)Success in time 0.068 s
%------------------------------------------------------------------------------