TSTP Solution File: SYN471-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN471-1 : 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 : n009.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 12:10:41 EDT 2024

% Result   : Unsatisfiable 0.73s 0.60s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  274
% Syntax   : Number of formulae    :  785 (   1 unt;   0 def)
%            Number of atoms       : 2613 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3326 (1498   ~;1683   |;   0   &)
%                                         ( 145 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  179 ( 178 usr; 175 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  153 ( 153   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4027,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f259,f264,f284,f294,f299,f309,f314,f324,f379,f384,f389,f394,f404,f414,f424,f429,f434,f439,f444,f449,f454,f469,f474,f479,f484,f489,f494,f499,f504,f529,f549,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f674,f679,f684,f704,f709,f714,f719,f724,f729,f734,f739,f744,f759,f769,f774,f779,f784,f789,f794,f799,f804,f809,f814,f819,f824,f829,f834,f839,f844,f845,f846,f848,f850,f851,f852,f853,f857,f858,f862,f874,f882,f894,f898,f903,f907,f911,f916,f920,f924,f933,f934,f935,f940,f944,f945,f946,f950,f951,f955,f959,f972,f974,f975,f979,f980,f981,f986,f989,f990,f998,f999,f1001,f1006,f1007,f1008,f1038,f1049,f1056,f1069,f1075,f1091,f1126,f1146,f1212,f1253,f1356,f1377,f1392,f1410,f1448,f1450,f1491,f1492,f1498,f1623,f1666,f1685,f1705,f1904,f1922,f2061,f2068,f2243,f2375,f2488,f2552,f2555,f2580,f2615,f2648,f2680,f2723,f2769,f2787,f2792,f2826,f2929,f2936,f2954,f2956,f2984,f3031,f3032,f3033,f3114,f3175,f3247,f3253,f3278,f3292,f3302,f3434,f3445,f3449,f3546,f3701,f3750,f3808,f3812,f3816,f3856,f3857,f3861,f3862,f3920,f3921,f3925,f3939,f3952,f3956,f3958,f3975,f3996,f4017,f4022]) ).

fof(f4022,plain,
    ( spl0_80
    | ~ spl0_87
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f4021]) ).

fof(f4021,plain,
    ( $false
    | spl0_80
    | ~ spl0_87
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f4013,f598]) ).

fof(f598,plain,
    ( ~ c0_1(a602)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f596,plain,
    ( spl0_80
  <=> c0_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f4013,plain,
    ( c0_1(a602)
    | ~ spl0_87
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(resolution,[],[f4002,f633]) ).

fof(f633,plain,
    ( c3_1(a602)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl0_87
  <=> c3_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f4002,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f897,f889]) ).

fof(f889,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f888,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f897,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f896,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f4017,plain,
    ( spl0_185
    | ~ spl0_128
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f4006,f896,f888,f836,f3870]) ).

fof(f3870,plain,
    ( spl0_185
  <=> c0_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f836,plain,
    ( spl0_128
  <=> c3_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f4006,plain,
    ( c0_1(a595)
    | ~ spl0_128
    | ~ spl0_138
    | ~ spl0_140 ),
    inference(resolution,[],[f4002,f838]) ).

fof(f838,plain,
    ( c3_1(a595)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f3996,plain,
    ( spl0_170
    | spl0_80
    | ~ spl0_87
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3995,f888,f631,f596,f1663]) ).

fof(f1663,plain,
    ( spl0_170
  <=> c1_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3995,plain,
    ( c1_1(a602)
    | spl0_80
    | ~ spl0_87
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3990,f598]) ).

fof(f3990,plain,
    ( c0_1(a602)
    | c1_1(a602)
    | ~ spl0_87
    | ~ spl0_138 ),
    inference(resolution,[],[f889,f633]) ).

fof(f3975,plain,
    ( spl0_168
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3974,f855,f736,f731,f1495]) ).

fof(f1495,plain,
    ( spl0_168
  <=> c3_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f731,plain,
    ( spl0_107
  <=> c2_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f736,plain,
    ( spl0_108
  <=> c0_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f855,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3974,plain,
    ( c3_1(a615)
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f3965,f738]) ).

fof(f738,plain,
    ( c0_1(a615)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f3965,plain,
    ( c3_1(a615)
    | ~ c0_1(a615)
    | ~ spl0_107
    | ~ spl0_130 ),
    inference(resolution,[],[f856,f733]) ).

fof(f733,plain,
    ( c2_1(a615)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f856,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f3958,plain,
    ( ~ spl0_85
    | ~ spl0_89
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3957]) ).

fof(f3957,plain,
    ( $false
    | ~ spl0_85
    | ~ spl0_89
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3948,f623]) ).

fof(f623,plain,
    ( c1_1(a597)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f621,plain,
    ( spl0_85
  <=> c1_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3948,plain,
    ( ~ c1_1(a597)
    | ~ spl0_89
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(resolution,[],[f3929,f643]) ).

fof(f643,plain,
    ( c2_1(a597)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl0_89
  <=> c2_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3929,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f958,f881]) ).

fof(f881,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f958,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl0_153
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3956,plain,
    ( ~ spl0_170
    | ~ spl0_91
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f3946,f957,f880,f651,f1663]) ).

fof(f651,plain,
    ( spl0_91
  <=> c2_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3946,plain,
    ( ~ c1_1(a602)
    | ~ spl0_91
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(resolution,[],[f3929,f653]) ).

fof(f653,plain,
    ( c2_1(a602)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f3952,plain,
    ( ~ spl0_127
    | ~ spl0_129
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3951]) ).

fof(f3951,plain,
    ( $false
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3941,f833]) ).

fof(f833,plain,
    ( c1_1(a595)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f831,plain,
    ( spl0_127
  <=> c1_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3941,plain,
    ( ~ c1_1(a595)
    | ~ spl0_129
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(resolution,[],[f3929,f843]) ).

fof(f843,plain,
    ( c2_1(a595)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f841,plain,
    ( spl0_129
  <=> c2_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3939,plain,
    ( ~ spl0_185
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f3938,f880,f841,f831,f3870]) ).

fof(f3938,plain,
    ( ~ c0_1(a595)
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3937,f843]) ).

fof(f3937,plain,
    ( ~ c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_127
    | ~ spl0_136 ),
    inference(resolution,[],[f833,f881]) ).

fof(f3925,plain,
    ( spl0_172
    | spl0_78
    | ~ spl0_83
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3924,f953,f611,f586,f2387]) ).

fof(f2387,plain,
    ( spl0_172
  <=> c0_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f586,plain,
    ( spl0_78
  <=> c2_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f611,plain,
    ( spl0_83
  <=> c1_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f953,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3924,plain,
    ( c0_1(a614)
    | spl0_78
    | ~ spl0_83
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3879,f588]) ).

fof(f588,plain,
    ( ~ c2_1(a614)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f3879,plain,
    ( c0_1(a614)
    | c2_1(a614)
    | ~ spl0_83
    | ~ spl0_152 ),
    inference(resolution,[],[f613,f954]) ).

fof(f954,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f613,plain,
    ( c1_1(a614)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f3921,plain,
    ( ~ spl0_56
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f3907,f880,f486,f451,f476]) ).

fof(f476,plain,
    ( spl0_56
  <=> c2_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f451,plain,
    ( spl0_51
  <=> c1_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f486,plain,
    ( spl0_58
  <=> c0_1(a637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3907,plain,
    ( ~ c2_1(a637)
    | ~ spl0_51
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f3893,f488]) ).

fof(f488,plain,
    ( c0_1(a637)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f3893,plain,
    ( ~ c0_1(a637)
    | ~ c2_1(a637)
    | ~ spl0_51
    | ~ spl0_136 ),
    inference(resolution,[],[f881,f453]) ).

fof(f453,plain,
    ( c1_1(a637)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f3920,plain,
    ( ~ spl0_22
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3904,f926,f880,f311,f296,f306]) ).

fof(f306,plain,
    ( spl0_22
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f296,plain,
    ( spl0_20
  <=> c3_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f311,plain,
    ( spl0_23
  <=> c0_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f926,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3904,plain,
    ( ~ c2_1(a672)
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3892,f313]) ).

fof(f313,plain,
    ( c0_1(a672)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f3892,plain,
    ( ~ c0_1(a672)
    | ~ c2_1(a672)
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_147 ),
    inference(resolution,[],[f881,f3128]) ).

fof(f3128,plain,
    ( c1_1(a672)
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3117,f298]) ).

fof(f298,plain,
    ( c3_1(a672)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f3117,plain,
    ( c1_1(a672)
    | ~ c3_1(a672)
    | ~ spl0_23
    | ~ spl0_147 ),
    inference(resolution,[],[f927,f313]) ).

fof(f927,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f3862,plain,
    ( ~ spl0_168
    | spl0_101
    | ~ spl0_108
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3124,f926,f736,f701,f1495]) ).

fof(f701,plain,
    ( spl0_101
  <=> c1_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3124,plain,
    ( c1_1(a615)
    | ~ c3_1(a615)
    | ~ spl0_108
    | ~ spl0_147 ),
    inference(resolution,[],[f927,f738]) ).

fof(f3861,plain,
    ( spl0_76
    | spl0_173
    | ~ spl0_84
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3683,f953,f616,f2485,f576]) ).

fof(f576,plain,
    ( spl0_76
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2485,plain,
    ( spl0_173
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f616,plain,
    ( spl0_84
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3683,plain,
    ( c0_1(a651)
    | c2_1(a651)
    | ~ spl0_84
    | ~ spl0_152 ),
    inference(resolution,[],[f954,f618]) ).

fof(f618,plain,
    ( c1_1(a651)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f3857,plain,
    ( spl0_167
    | spl0_46
    | ~ spl0_50
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3682,f953,f446,f426,f1488]) ).

fof(f1488,plain,
    ( spl0_167
  <=> c2_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f426,plain,
    ( spl0_46
  <=> c0_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f446,plain,
    ( spl0_50
  <=> c1_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3682,plain,
    ( c0_1(a656)
    | c2_1(a656)
    | ~ spl0_50
    | ~ spl0_152 ),
    inference(resolution,[],[f954,f448]) ).

fof(f448,plain,
    ( c1_1(a656)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f3856,plain,
    ( spl0_81
    | ~ spl0_86
    | ~ spl0_92
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f3855]) ).

fof(f3855,plain,
    ( $false
    | spl0_81
    | ~ spl0_86
    | ~ spl0_92
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3854,f628]) ).

fof(f628,plain,
    ( c1_1(a604)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f626,plain,
    ( spl0_86
  <=> c1_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3854,plain,
    ( ~ c1_1(a604)
    | spl0_81
    | ~ spl0_86
    | ~ spl0_92
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3852,f603]) ).

fof(f603,plain,
    ( ~ c0_1(a604)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f601,plain,
    ( spl0_81
  <=> c0_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f3852,plain,
    ( c0_1(a604)
    | ~ c1_1(a604)
    | ~ spl0_86
    | ~ spl0_92
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(resolution,[],[f3382,f897]) ).

fof(f3382,plain,
    ( c3_1(a604)
    | ~ spl0_86
    | ~ spl0_92
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f3374,f658]) ).

fof(f658,plain,
    ( c2_1(a604)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl0_92
  <=> c2_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f3374,plain,
    ( c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_86
    | ~ spl0_132 ),
    inference(resolution,[],[f865,f628]) ).

fof(f865,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3816,plain,
    ( ~ spl0_88
    | ~ spl0_147
    | ~ spl0_157
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f3815]) ).

fof(f3815,plain,
    ( $false
    | ~ spl0_88
    | ~ spl0_147
    | ~ spl0_157
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3790,f638]) ).

fof(f638,plain,
    ( c3_1(a651)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl0_88
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3790,plain,
    ( ~ c3_1(a651)
    | ~ spl0_147
    | ~ spl0_157
    | ~ spl0_173 ),
    inference(resolution,[],[f3784,f2486]) ).

fof(f2486,plain,
    ( c0_1(a651)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2485]) ).

fof(f3784,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f978,f927]) ).

fof(f978,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f977,plain,
    ( spl0_157
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f3812,plain,
    ( ~ spl0_106
    | ~ spl0_109
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3811]) ).

fof(f3811,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_109
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3788,f728]) ).

fof(f728,plain,
    ( c3_1(a618)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_106
  <=> c3_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3788,plain,
    ( ~ c3_1(a618)
    | ~ spl0_109
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(resolution,[],[f3784,f743]) ).

fof(f743,plain,
    ( c0_1(a618)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl0_109
  <=> c0_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3808,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3807]) ).

fof(f3807,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3786,f298]) ).

fof(f3786,plain,
    ( ~ c3_1(a672)
    | ~ spl0_23
    | ~ spl0_147
    | ~ spl0_157 ),
    inference(resolution,[],[f3784,f313]) ).

fof(f3750,plain,
    ( spl0_81
    | ~ spl0_86
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3749]) ).

fof(f3749,plain,
    ( $false
    | spl0_81
    | ~ spl0_86
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3744,f603]) ).

fof(f3744,plain,
    ( c0_1(a604)
    | ~ spl0_86
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(resolution,[],[f3729,f628]) ).

fof(f3729,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f958,f954]) ).

fof(f3701,plain,
    ( spl0_47
    | spl0_39
    | ~ spl0_48
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3700,f953,f436,f391,f431]) ).

fof(f431,plain,
    ( spl0_47
  <=> c0_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f391,plain,
    ( spl0_39
  <=> c2_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f436,plain,
    ( spl0_48
  <=> c1_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3700,plain,
    ( c0_1(a620)
    | spl0_39
    | ~ spl0_48
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3687,f393]) ).

fof(f393,plain,
    ( ~ c2_1(a620)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f3687,plain,
    ( c0_1(a620)
    | c2_1(a620)
    | ~ spl0_48
    | ~ spl0_152 ),
    inference(resolution,[],[f954,f438]) ).

fof(f438,plain,
    ( c1_1(a620)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f3546,plain,
    ( spl0_77
    | ~ spl0_93
    | ~ spl0_133
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f3545,f1191,f868,f661,f581]) ).

fof(f581,plain,
    ( spl0_77
  <=> c2_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f661,plain,
    ( spl0_93
  <=> c0_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f868,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1191,plain,
    ( spl0_161
  <=> c3_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3545,plain,
    ( c2_1(a603)
    | ~ spl0_93
    | ~ spl0_133
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f3541,f663]) ).

fof(f663,plain,
    ( c0_1(a603)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f3541,plain,
    ( c2_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_133
    | ~ spl0_161 ),
    inference(resolution,[],[f1193,f869]) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f1193,plain,
    ( c3_1(a603)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f3449,plain,
    ( ~ spl0_173
    | spl0_76
    | ~ spl0_88
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3399,f868,f636,f576,f2485]) ).

fof(f3399,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_88
    | ~ spl0_133 ),
    inference(resolution,[],[f869,f638]) ).

fof(f3445,plain,
    ( spl0_46
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3444,f896,f466,f446,f426]) ).

fof(f466,plain,
    ( spl0_54
  <=> c3_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f3444,plain,
    ( c0_1(a656)
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3422,f448]) ).

fof(f3422,plain,
    ( c0_1(a656)
    | ~ c1_1(a656)
    | ~ spl0_54
    | ~ spl0_140 ),
    inference(resolution,[],[f897,f468]) ).

fof(f468,plain,
    ( c3_1(a656)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f3434,plain,
    ( spl0_152
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f3433,f961,f896,f953]) ).

fof(f961,plain,
    ( spl0_154
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3433,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(duplicate_literal_removal,[],[f3417]) ).

fof(f3417,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(resolution,[],[f897,f962]) ).

fof(f962,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f3302,plain,
    ( ~ spl0_166
    | spl0_103
    | ~ spl0_105
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3301,f860,f721,f711,f1423]) ).

fof(f1423,plain,
    ( spl0_166
  <=> c2_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f711,plain,
    ( spl0_103
  <=> c0_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f721,plain,
    ( spl0_105
  <=> c3_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f860,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3301,plain,
    ( ~ c2_1(a625)
    | spl0_103
    | ~ spl0_105
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3186,f713]) ).

fof(f713,plain,
    ( ~ c0_1(a625)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f3186,plain,
    ( c0_1(a625)
    | ~ c2_1(a625)
    | ~ spl0_105
    | ~ spl0_131 ),
    inference(resolution,[],[f861,f723]) ).

fof(f723,plain,
    ( c3_1(a625)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f3292,plain,
    ( spl0_114
    | spl0_119
    | spl0_120
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3291]) ).

fof(f3291,plain,
    ( $false
    | spl0_114
    | spl0_119
    | spl0_120
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3290,f793]) ).

fof(f793,plain,
    ( ~ c2_1(a598)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f791,plain,
    ( spl0_119
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3290,plain,
    ( c2_1(a598)
    | spl0_114
    | spl0_120
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3275,f798]) ).

fof(f798,plain,
    ( ~ c0_1(a598)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl0_120
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3275,plain,
    ( c0_1(a598)
    | c2_1(a598)
    | spl0_114
    | ~ spl0_151 ),
    inference(resolution,[],[f949,f768]) ).

fof(f768,plain,
    ( ~ c1_1(a598)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f766,plain,
    ( spl0_114
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f949,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f948,plain,
    ( spl0_151
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3278,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_151
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3277]) ).

fof(f3277,plain,
    ( $false
    | spl0_102
    | spl0_103
    | ~ spl0_151
    | spl0_166 ),
    inference(subsumption_resolution,[],[f3276,f1425]) ).

fof(f1425,plain,
    ( ~ c2_1(a625)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1423]) ).

fof(f3276,plain,
    ( c2_1(a625)
    | spl0_102
    | spl0_103
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3259,f713]) ).

fof(f3259,plain,
    ( c0_1(a625)
    | c2_1(a625)
    | spl0_102
    | ~ spl0_151 ),
    inference(resolution,[],[f949,f708]) ).

fof(f708,plain,
    ( ~ c1_1(a625)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f706,plain,
    ( spl0_102
  <=> c1_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3253,plain,
    ( ~ spl0_121
    | ~ spl0_122
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f3252]) ).

fof(f3252,plain,
    ( $false
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f3238,f803]) ).

fof(f803,plain,
    ( c3_1(a599)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f801,plain,
    ( spl0_121
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3238,plain,
    ( ~ c3_1(a599)
    | ~ spl0_122
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(resolution,[],[f3224,f808]) ).

fof(f808,plain,
    ( c2_1(a599)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f806,plain,
    ( spl0_122
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3224,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f914,f861]) ).

fof(f914,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3247,plain,
    ( ~ spl0_128
    | ~ spl0_129
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f3246]) ).

fof(f3246,plain,
    ( $false
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f3228,f838]) ).

fof(f3228,plain,
    ( ~ c3_1(a595)
    | ~ spl0_129
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(resolution,[],[f3224,f843]) ).

fof(f3175,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_141
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3174]) ).

fof(f3174,plain,
    ( $false
    | spl0_119
    | spl0_120
    | ~ spl0_141
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3161,f798]) ).

fof(f3161,plain,
    ( c0_1(a598)
    | spl0_119
    | ~ spl0_141
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(resolution,[],[f3149,f793]) ).

fof(f3149,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_141
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f949,f3078]) ).

fof(f3078,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_141
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f954,f901]) ).

fof(f901,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f900,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3114,plain,
    ( spl0_179
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3113,f868,f501,f471,f2918]) ).

fof(f2918,plain,
    ( spl0_179
  <=> c2_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f471,plain,
    ( spl0_55
  <=> c3_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f501,plain,
    ( spl0_61
  <=> c0_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3113,plain,
    ( c2_1(a631)
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f3102,f503]) ).

fof(f503,plain,
    ( c0_1(a631)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f3102,plain,
    ( c2_1(a631)
    | ~ c0_1(a631)
    | ~ spl0_55
    | ~ spl0_133 ),
    inference(resolution,[],[f869,f473]) ).

fof(f473,plain,
    ( c3_1(a631)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f3033,plain,
    ( ~ spl0_22
    | ~ spl0_23
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2861,f913,f855,f311,f306]) ).

fof(f2861,plain,
    ( ~ c2_1(a672)
    | ~ spl0_23
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(resolution,[],[f2822,f313]) ).

fof(f2822,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f914,f856]) ).

fof(f3032,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2832,f926,f900,f880,f311,f296]) ).

fof(f2832,plain,
    ( ~ c3_1(a672)
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_147 ),
    inference(resolution,[],[f2821,f313]) ).

fof(f2821,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f927,f2705]) ).

fof(f2705,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f881,f901]) ).

fof(f3031,plain,
    ( spl0_12
    | spl0_17
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3030]) ).

fof(f3030,plain,
    ( $false
    | spl0_12
    | spl0_17
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3023,f283]) ).

fof(f283,plain,
    ( ~ c0_1(a667)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl0_17
  <=> c0_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f3023,plain,
    ( c0_1(a667)
    | spl0_12
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(resolution,[],[f2995,f258]) ).

fof(f258,plain,
    ( ~ c3_1(a667)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_12
  <=> c3_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2995,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_145
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f919,f962]) ).

fof(f919,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f918,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2984,plain,
    ( ~ spl0_60
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2975]) ).

fof(f2975,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(resolution,[],[f2969,f498]) ).

fof(f498,plain,
    ( c0_1(a627)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl0_60
  <=> c0_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2969,plain,
    ( ! [X0] : ~ c0_1(X0)
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2968,f2705]) ).

fof(f2968,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f939,f2821]) ).

fof(f939,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f938,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2956,plain,
    ( spl0_74
    | ~ spl0_85
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2955]) ).

fof(f2955,plain,
    ( $false
    | spl0_74
    | ~ spl0_85
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2948,f568]) ).

fof(f568,plain,
    ( ~ c3_1(a597)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_74
  <=> c3_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2948,plain,
    ( c3_1(a597)
    | ~ spl0_85
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(resolution,[],[f2940,f623]) ).

fof(f2940,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f970,f2705]) ).

fof(f970,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f969,plain,
    ( spl0_156
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2954,plain,
    ( spl0_11
    | ~ spl0_19
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2953]) ).

fof(f2953,plain,
    ( $false
    | spl0_11
    | ~ spl0_19
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2946,f253]) ).

fof(f253,plain,
    ( ~ c3_1(a608)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_11
  <=> c3_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2946,plain,
    ( c3_1(a608)
    | ~ spl0_19
    | ~ spl0_136
    | ~ spl0_141
    | ~ spl0_156 ),
    inference(resolution,[],[f2940,f293]) ).

fof(f293,plain,
    ( c1_1(a608)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl0_19
  <=> c1_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f2936,plain,
    ( ~ spl0_179
    | ~ spl0_61
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2934,f913,f855,f501,f2918]) ).

fof(f2934,plain,
    ( ~ c2_1(a631)
    | ~ spl0_61
    | ~ spl0_130
    | ~ spl0_144 ),
    inference(resolution,[],[f503,f2822]) ).

fof(f2929,plain,
    ( spl0_72
    | spl0_75
    | spl0_82
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2928]) ).

fof(f2928,plain,
    ( $false
    | spl0_72
    | spl0_75
    | spl0_82
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2927,f573]) ).

fof(f573,plain,
    ( ~ c2_1(a644)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl0_75
  <=> c2_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2927,plain,
    ( c2_1(a644)
    | spl0_72
    | spl0_82
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2915,f608]) ).

fof(f608,plain,
    ( ~ c0_1(a644)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl0_82
  <=> c0_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2915,plain,
    ( c0_1(a644)
    | c2_1(a644)
    | spl0_72
    | ~ spl0_154 ),
    inference(resolution,[],[f962,f558]) ).

fof(f558,plain,
    ( ~ c3_1(a644)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl0_72
  <=> c3_1(a644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2826,plain,
    ( ~ spl0_96
    | ~ spl0_97
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2825]) ).

fof(f2825,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2823,f683]) ).

fof(f683,plain,
    ( c0_1(a594)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f681,plain,
    ( spl0_97
  <=> c0_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2823,plain,
    ( ~ c0_1(a594)
    | ~ spl0_96
    | ~ spl0_136
    | ~ spl0_141 ),
    inference(resolution,[],[f678,f2705]) ).

fof(f678,plain,
    ( c1_1(a594)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f676,plain,
    ( spl0_96
  <=> c1_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2792,plain,
    ( ~ spl0_172
    | spl0_78
    | ~ spl0_83
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2791,f900,f611,f586,f2387]) ).

fof(f2791,plain,
    ( ~ c0_1(a614)
    | spl0_78
    | ~ spl0_83
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2789,f588]) ).

fof(f2789,plain,
    ( c2_1(a614)
    | ~ c0_1(a614)
    | ~ spl0_83
    | ~ spl0_141 ),
    inference(resolution,[],[f613,f901]) ).

fof(f2787,plain,
    ( ~ spl0_172
    | spl0_73
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2786,f892,f855,f561,f2387]) ).

fof(f561,plain,
    ( spl0_73
  <=> c3_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f892,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2786,plain,
    ( ~ c0_1(a614)
    | spl0_73
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(resolution,[],[f563,f2757]) ).

fof(f2757,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f893,f856]) ).

fof(f893,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f563,plain,
    ( ~ c3_1(a614)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f2769,plain,
    ( spl0_13
    | ~ spl0_25
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2768]) ).

fof(f2768,plain,
    ( $false
    | spl0_13
    | ~ spl0_25
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2759,f323]) ).

fof(f323,plain,
    ( c0_1(a619)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl0_25
  <=> c0_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2759,plain,
    ( ~ c0_1(a619)
    | spl0_13
    | ~ spl0_130
    | ~ spl0_139 ),
    inference(resolution,[],[f2757,f263]) ).

fof(f263,plain,
    ( ~ c3_1(a619)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_13
  <=> c3_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2723,plain,
    ( spl0_74
    | ~ spl0_89
    | ~ spl0_130
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2722]) ).

fof(f2722,plain,
    ( $false
    | spl0_74
    | ~ spl0_89
    | ~ spl0_130
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2714,f643]) ).

fof(f2714,plain,
    ( ~ c2_1(a597)
    | spl0_74
    | ~ spl0_130
    | ~ spl0_145 ),
    inference(resolution,[],[f2704,f568]) ).

fof(f2704,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f919,f856]) ).

fof(f2680,plain,
    ( spl0_115
    | spl0_117
    | ~ spl0_123
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2679]) ).

fof(f2679,plain,
    ( $false
    | spl0_115
    | spl0_117
    | ~ spl0_123
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2678,f2351]) ).

fof(f2351,plain,
    ( c0_1(a609)
    | spl0_115
    | ~ spl0_123
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2341,f813]) ).

fof(f813,plain,
    ( c2_1(a609)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl0_123
  <=> c2_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2341,plain,
    ( c0_1(a609)
    | ~ c2_1(a609)
    | spl0_115
    | ~ spl0_143 ),
    inference(resolution,[],[f910,f773]) ).

fof(f773,plain,
    ( ~ c1_1(a609)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl0_115
  <=> c1_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f910,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2678,plain,
    ( ~ c0_1(a609)
    | spl0_117
    | ~ spl0_123
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2659,f783]) ).

fof(f783,plain,
    ( ~ c3_1(a609)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f781,plain,
    ( spl0_117
  <=> c3_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2659,plain,
    ( c3_1(a609)
    | ~ c0_1(a609)
    | ~ spl0_123
    | ~ spl0_130 ),
    inference(resolution,[],[f856,f813]) ).

fof(f2648,plain,
    ( ~ spl0_91
    | spl0_80
    | ~ spl0_143
    | spl0_170 ),
    inference(avatar_split_clause,[],[f2647,f1663,f909,f596,f651]) ).

fof(f2647,plain,
    ( ~ c2_1(a602)
    | spl0_80
    | ~ spl0_143
    | spl0_170 ),
    inference(subsumption_resolution,[],[f2644,f598]) ).

fof(f2644,plain,
    ( c0_1(a602)
    | ~ c2_1(a602)
    | ~ spl0_143
    | spl0_170 ),
    inference(resolution,[],[f1665,f910]) ).

fof(f1665,plain,
    ( ~ c1_1(a602)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1663]) ).

fof(f2615,plain,
    ( spl0_103
    | spl0_102
    | ~ spl0_143
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2613,f948,f909,f706,f711]) ).

fof(f2613,plain,
    ( c0_1(a625)
    | spl0_102
    | ~ spl0_143
    | ~ spl0_151 ),
    inference(resolution,[],[f708,f2393]) ).

fof(f2393,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_143
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f949,f910]) ).

fof(f2580,plain,
    ( ~ spl0_121
    | ~ spl0_122
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2579]) ).

fof(f2579,plain,
    ( $false
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2571,f808]) ).

fof(f2571,plain,
    ( ~ c2_1(a599)
    | ~ spl0_121
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_153 ),
    inference(resolution,[],[f2560,f803]) ).

fof(f2560,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f914,f2489]) ).

fof(f2489,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_143
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f958,f910]) ).

fof(f2555,plain,
    ( spl0_77
    | ~ spl0_93
    | ~ spl0_139
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2554]) ).

fof(f2554,plain,
    ( $false
    | spl0_77
    | ~ spl0_93
    | ~ spl0_139
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2553,f1192]) ).

fof(f1192,plain,
    ( ~ c3_1(a603)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f2553,plain,
    ( c3_1(a603)
    | spl0_77
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2546,f583]) ).

fof(f583,plain,
    ( ~ c2_1(a603)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f2546,plain,
    ( c2_1(a603)
    | c3_1(a603)
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(resolution,[],[f893,f663]) ).

fof(f2552,plain,
    ( spl0_38
    | spl0_43
    | ~ spl0_60
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2551]) ).

fof(f2551,plain,
    ( $false
    | spl0_38
    | spl0_43
    | ~ spl0_60
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2550,f388]) ).

fof(f388,plain,
    ( ~ c3_1(a627)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl0_38
  <=> c3_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2550,plain,
    ( c3_1(a627)
    | spl0_43
    | ~ spl0_60
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2541,f413]) ).

fof(f413,plain,
    ( ~ c2_1(a627)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_43
  <=> c2_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2541,plain,
    ( c2_1(a627)
    | c3_1(a627)
    | ~ spl0_60
    | ~ spl0_139 ),
    inference(resolution,[],[f893,f498]) ).

fof(f2488,plain,
    ( ~ spl0_173
    | spl0_76
    | ~ spl0_84
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1637,f900,f616,f576,f2485]) ).

fof(f1637,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_84
    | ~ spl0_141 ),
    inference(resolution,[],[f618,f901]) ).

fof(f2375,plain,
    ( spl0_46
    | ~ spl0_143
    | ~ spl0_153
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2374]) ).

fof(f2374,plain,
    ( $false
    | spl0_46
    | ~ spl0_143
    | ~ spl0_153
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2358,f428]) ).

fof(f428,plain,
    ( ~ c0_1(a656)
    | spl0_46 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f2358,plain,
    ( c0_1(a656)
    | ~ spl0_143
    | ~ spl0_153
    | ~ spl0_167 ),
    inference(resolution,[],[f2354,f1489]) ).

fof(f1489,plain,
    ( c2_1(a656)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1488]) ).

fof(f2354,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_143
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f958,f910]) ).

fof(f2243,plain,
    ( spl0_116
    | ~ spl0_122
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2242]) ).

fof(f2242,plain,
    ( $false
    | spl0_116
    | ~ spl0_122
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2231,f778]) ).

fof(f778,plain,
    ( ~ c1_1(a599)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl0_116
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2231,plain,
    ( c1_1(a599)
    | ~ spl0_122
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(resolution,[],[f2213,f808]) ).

fof(f2213,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_134
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f906,f873]) ).

fof(f873,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f905,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2068,plain,
    ( ~ spl0_91
    | spl0_80
    | ~ spl0_87
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2054,f860,f631,f596,f651]) ).

fof(f2054,plain,
    ( ~ c2_1(a602)
    | spl0_80
    | ~ spl0_87
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2035,f598]) ).

fof(f2035,plain,
    ( c0_1(a602)
    | ~ c2_1(a602)
    | ~ spl0_87
    | ~ spl0_131 ),
    inference(resolution,[],[f861,f633]) ).

fof(f2061,plain,
    ( spl0_79
    | ~ spl0_90
    | ~ spl0_131
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2060,plain,
    ( $false
    | spl0_79
    | ~ spl0_90
    | ~ spl0_131
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2059,f648]) ).

fof(f648,plain,
    ( c2_1(a596)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_90
  <=> c2_1(a596) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2059,plain,
    ( ~ c2_1(a596)
    | spl0_79
    | ~ spl0_131
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f2038,f593]) ).

fof(f593,plain,
    ( ~ c0_1(a596)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f591,plain,
    ( spl0_79
  <=> c0_1(a596) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2038,plain,
    ( c0_1(a596)
    | ~ c2_1(a596)
    | ~ spl0_131
    | ~ spl0_164 ),
    inference(resolution,[],[f861,f1409]) ).

fof(f1409,plain,
    ( c3_1(a596)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1407]) ).

fof(f1407,plain,
    ( spl0_164
  <=> c3_1(a596) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1922,plain,
    ( spl0_95
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1921,f942,f681,f676,f671]) ).

fof(f671,plain,
    ( spl0_95
  <=> c3_1(a594) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f942,plain,
    ( spl0_150
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1921,plain,
    ( c3_1(a594)
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1916,f678]) ).

fof(f1916,plain,
    ( c3_1(a594)
    | ~ c1_1(a594)
    | ~ spl0_97
    | ~ spl0_150 ),
    inference(resolution,[],[f943,f683]) ).

fof(f943,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f1904,plain,
    ( spl0_36
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1903,f926,f501,f471,f376]) ).

fof(f376,plain,
    ( spl0_36
  <=> c1_1(a631) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1903,plain,
    ( c1_1(a631)
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1895,f473]) ).

fof(f1895,plain,
    ( c1_1(a631)
    | ~ c3_1(a631)
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(resolution,[],[f927,f503]) ).

fof(f1705,plain,
    ( ~ spl0_86
    | ~ spl0_92
    | ~ spl0_132
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1704,plain,
    ( $false
    | ~ spl0_86
    | ~ spl0_92
    | ~ spl0_132
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1701,f658]) ).

fof(f1701,plain,
    ( ~ c2_1(a604)
    | ~ spl0_86
    | ~ spl0_132
    | ~ spl0_146 ),
    inference(resolution,[],[f1660,f628]) ).

fof(f1660,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f865,f923]) ).

fof(f923,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f922,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1685,plain,
    ( spl0_39
    | ~ spl0_48
    | ~ spl0_141
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | spl0_39
    | ~ spl0_48
    | ~ spl0_141
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1671,f393]) ).

fof(f1671,plain,
    ( c2_1(a620)
    | ~ spl0_48
    | ~ spl0_141
    | ~ spl0_152 ),
    inference(resolution,[],[f1659,f438]) ).

fof(f1659,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_141
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f954,f901]) ).

fof(f1666,plain,
    ( ~ spl0_170
    | ~ spl0_91
    | ~ spl0_87
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1661,f922,f631,f651,f1663]) ).

fof(f1661,plain,
    ( ~ c2_1(a602)
    | ~ c1_1(a602)
    | ~ spl0_87
    | ~ spl0_146 ),
    inference(resolution,[],[f633,f923]) ).

fof(f1623,plain,
    ( spl0_70
    | spl0_79
    | ~ spl0_90
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | spl0_70
    | spl0_79
    | ~ spl0_90
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1621,f648]) ).

fof(f1621,plain,
    ( ~ c2_1(a596)
    | spl0_70
    | spl0_79
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1611,f593]) ).

fof(f1611,plain,
    ( c0_1(a596)
    | ~ c2_1(a596)
    | spl0_70
    | ~ spl0_143 ),
    inference(resolution,[],[f910,f548]) ).

fof(f548,plain,
    ( ~ c1_1(a596)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl0_70
  <=> c1_1(a596) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1498,plain,
    ( ~ spl0_107
    | spl0_168
    | spl0_101
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1044,f872,f701,f1495,f731]) ).

fof(f1044,plain,
    ( c3_1(a615)
    | ~ c2_1(a615)
    | spl0_101
    | ~ spl0_134 ),
    inference(resolution,[],[f873,f703]) ).

fof(f703,plain,
    ( ~ c1_1(a615)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f1492,plain,
    ( ~ spl0_84
    | ~ spl0_88
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1461,f922,f876,f636,f616]) ).

fof(f876,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1461,plain,
    ( ~ c1_1(a651)
    | ~ spl0_88
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(resolution,[],[f1398,f638]) ).

fof(f1398,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f877,f923]) ).

fof(f877,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f1491,plain,
    ( ~ spl0_50
    | ~ spl0_167
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1363,f922,f466,f1488,f446]) ).

fof(f1363,plain,
    ( ~ c2_1(a656)
    | ~ c1_1(a656)
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(resolution,[],[f923,f468]) ).

fof(f1450,plain,
    ( spl0_79
    | ~ spl0_90
    | ~ spl0_131
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1449,plain,
    ( $false
    | spl0_79
    | ~ spl0_90
    | ~ spl0_131
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1445,f593]) ).

fof(f1445,plain,
    ( c0_1(a596)
    | ~ spl0_90
    | ~ spl0_131
    | ~ spl0_145 ),
    inference(resolution,[],[f1393,f648]) ).

fof(f1393,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f861,f919]) ).

fof(f1448,plain,
    ( spl0_81
    | ~ spl0_92
    | ~ spl0_131
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1447]) ).

fof(f1447,plain,
    ( $false
    | spl0_81
    | ~ spl0_92
    | ~ spl0_131
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1441,f603]) ).

fof(f1441,plain,
    ( c0_1(a604)
    | ~ spl0_92
    | ~ spl0_131
    | ~ spl0_145 ),
    inference(resolution,[],[f1393,f658]) ).

fof(f1410,plain,
    ( ~ spl0_90
    | spl0_164
    | spl0_70
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1404,f872,f546,f1407,f646]) ).

fof(f1404,plain,
    ( c3_1(a596)
    | ~ c2_1(a596)
    | spl0_70
    | ~ spl0_134 ),
    inference(resolution,[],[f548,f873]) ).

fof(f1392,plain,
    ( ~ spl0_129
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1391,f922,f836,f831,f841]) ).

fof(f1391,plain,
    ( ~ c2_1(a595)
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1362,f833]) ).

fof(f1362,plain,
    ( ~ c2_1(a595)
    | ~ c1_1(a595)
    | ~ spl0_128
    | ~ spl0_146 ),
    inference(resolution,[],[f923,f838]) ).

fof(f1377,plain,
    ( ~ spl0_104
    | ~ spl0_106
    | ~ spl0_109
    | ~ spl0_141
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | ~ spl0_104
    | ~ spl0_106
    | ~ spl0_109
    | ~ spl0_141
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1375,f718]) ).

fof(f718,plain,
    ( c1_1(a618)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_104
  <=> c1_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1375,plain,
    ( ~ c1_1(a618)
    | ~ spl0_104
    | ~ spl0_106
    | ~ spl0_109
    | ~ spl0_141
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1361,f1154]) ).

fof(f1154,plain,
    ( c2_1(a618)
    | ~ spl0_104
    | ~ spl0_109
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1114,f743]) ).

fof(f1114,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_104
    | ~ spl0_141 ),
    inference(resolution,[],[f901,f718]) ).

fof(f1361,plain,
    ( ~ c2_1(a618)
    | ~ c1_1(a618)
    | ~ spl0_106
    | ~ spl0_146 ),
    inference(resolution,[],[f923,f728]) ).

fof(f1356,plain,
    ( spl0_37
    | spl0_45
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1355]) ).

fof(f1355,plain,
    ( $false
    | spl0_37
    | spl0_45
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1354,f483]) ).

fof(f483,plain,
    ( c2_1(a593)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl0_57
  <=> c2_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1354,plain,
    ( ~ c2_1(a593)
    | spl0_37
    | spl0_45
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1347,f423]) ).

fof(f423,plain,
    ( ~ c0_1(a593)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f421,plain,
    ( spl0_45
  <=> c0_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1347,plain,
    ( c0_1(a593)
    | ~ c2_1(a593)
    | spl0_37
    | ~ spl0_145 ),
    inference(resolution,[],[f919,f383]) ).

fof(f383,plain,
    ( ~ c3_1(a593)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl0_37
  <=> c3_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1253,plain,
    ( spl0_118
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_134
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | spl0_118
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_134
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1251,f818]) ).

fof(f818,plain,
    ( c2_1(a605)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl0_124
  <=> c2_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1251,plain,
    ( ~ c2_1(a605)
    | spl0_118
    | ~ spl0_125
    | ~ spl0_134
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1250,f788]) ).

fof(f788,plain,
    ( ~ c3_1(a605)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl0_118
  <=> c3_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1250,plain,
    ( c3_1(a605)
    | ~ c2_1(a605)
    | spl0_118
    | ~ spl0_125
    | ~ spl0_134
    | ~ spl0_150 ),
    inference(resolution,[],[f1229,f873]) ).

fof(f1229,plain,
    ( ~ c1_1(a605)
    | spl0_118
    | ~ spl0_125
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1225,f788]) ).

fof(f1225,plain,
    ( c3_1(a605)
    | ~ c1_1(a605)
    | ~ spl0_125
    | ~ spl0_150 ),
    inference(resolution,[],[f943,f823]) ).

fof(f823,plain,
    ( c0_1(a605)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f821,plain,
    ( spl0_125
  <=> c0_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1212,plain,
    ( spl0_116
    | ~ spl0_121
    | ~ spl0_138
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1211]) ).

fof(f1211,plain,
    ( $false
    | spl0_116
    | ~ spl0_121
    | ~ spl0_138
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1206,f803]) ).

fof(f1206,plain,
    ( ~ c3_1(a599)
    | spl0_116
    | ~ spl0_138
    | ~ spl0_147 ),
    inference(resolution,[],[f1199,f778]) ).

fof(f1199,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_138
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f927,f889]) ).

fof(f1146,plain,
    ( ~ spl0_106
    | ~ spl0_109
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1145,plain,
    ( $false
    | ~ spl0_106
    | ~ spl0_109
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1137,f743]) ).

fof(f1137,plain,
    ( ~ c0_1(a618)
    | ~ spl0_106
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(resolution,[],[f1135,f728]) ).

fof(f1135,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f914,f869]) ).

fof(f1126,plain,
    ( ~ spl0_59
    | spl0_41
    | ~ spl0_49
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1122,f900,f441,f401,f491]) ).

fof(f491,plain,
    ( spl0_59
  <=> c0_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f401,plain,
    ( spl0_41
  <=> c2_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f441,plain,
    ( spl0_49
  <=> c1_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1122,plain,
    ( ~ c0_1(a624)
    | spl0_41
    | ~ spl0_49
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1117,f403]) ).

fof(f403,plain,
    ( ~ c2_1(a624)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f1117,plain,
    ( c2_1(a624)
    | ~ c0_1(a624)
    | ~ spl0_49
    | ~ spl0_141 ),
    inference(resolution,[],[f901,f443]) ).

fof(f443,plain,
    ( c1_1(a624)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1091,plain,
    ( spl0_118
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1090,plain,
    ( $false
    | spl0_118
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1089,f823]) ).

fof(f1089,plain,
    ( ~ c0_1(a605)
    | spl0_118
    | ~ spl0_124
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1083,f788]) ).

fof(f1083,plain,
    ( c3_1(a605)
    | ~ c0_1(a605)
    | ~ spl0_124
    | ~ spl0_130 ),
    inference(resolution,[],[f856,f818]) ).

fof(f1075,plain,
    ( ~ spl0_107
    | ~ spl0_108
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1074]) ).

fof(f1074,plain,
    ( $false
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1065,f733]) ).

fof(f1065,plain,
    ( ~ c2_1(a615)
    | ~ spl0_108
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(resolution,[],[f1057,f738]) ).

fof(f1057,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f985,f881]) ).

fof(f985,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl0_158
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1069,plain,
    ( ~ spl0_22
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1068,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1059,f308]) ).

fof(f308,plain,
    ( c2_1(a672)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f1059,plain,
    ( ~ c2_1(a672)
    | ~ spl0_23
    | ~ spl0_136
    | ~ spl0_158 ),
    inference(resolution,[],[f1057,f313]) ).

fof(f1056,plain,
    ( ~ spl0_123
    | spl0_115
    | spl0_117
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1053,f872,f781,f771,f811]) ).

fof(f1053,plain,
    ( ~ c2_1(a609)
    | spl0_115
    | spl0_117
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1045,f783]) ).

fof(f1045,plain,
    ( c3_1(a609)
    | ~ c2_1(a609)
    | spl0_115
    | ~ spl0_134 ),
    inference(resolution,[],[f873,f773]) ).

fof(f1049,plain,
    ( spl0_130
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1048,f880,f872,f855]) ).

fof(f1048,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(duplicate_literal_removal,[],[f1040]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(resolution,[],[f873,f881]) ).

fof(f1038,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1037]) ).

fof(f1037,plain,
    ( $false
    | spl0_102
    | spl0_103
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1036,f708]) ).

fof(f1036,plain,
    ( c1_1(a625)
    | spl0_103
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1034,f713]) ).

fof(f1034,plain,
    ( c0_1(a625)
    | c1_1(a625)
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(resolution,[],[f889,f723]) ).

fof(f1008,plain,
    ( spl0_151
    | spl0_139
    | spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f202,f868,f892,f948]) ).

fof(f202,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f189,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f1007,plain,
    ( spl0_151
    | spl0_130
    | spl0_138
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f202,f888,f855,f948]) ).

fof(f188,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f1006,plain,
    ( spl0_154
    | spl0_131
    | spl0_138
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f202,f888,f860,f961]) ).

fof(f190,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f1001,plain,
    ( spl0_138
    | spl0_133
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f202,f860,f868,f888]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f999,plain,
    ( spl0_134
    | spl0_144
    | spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f202,f953,f913,f872]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f998,plain,
    ( spl0_151
    | spl0_132
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f202,f880,f864,f948]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f990,plain,
    ( spl0_140
    | spl0_153
    | spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f202,f922,f957,f896]) ).

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

fof(f989,plain,
    ( spl0_156
    | spl0_135
    | spl0_126
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f202,f826,f876,f969]) ).

fof(f826,plain,
    ( spl0_126
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f986,plain,
    ( spl0_158
    | spl0_141
    | spl0_111
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f202,f751,f900,f984]) ).

fof(f751,plain,
    ( spl0_111
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f981,plain,
    ( spl0_152
    | spl0_146
    | spl0_112
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f202,f756,f922,f953]) ).

fof(f756,plain,
    ( spl0_112
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f980,plain,
    ( spl0_139
    | spl0_141
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f202,f691,f900,f892]) ).

fof(f691,plain,
    ( spl0_99
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f979,plain,
    ( spl0_134
    | spl0_157
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f202,f686,f977,f872]) ).

fof(f686,plain,
    ( spl0_98
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f975,plain,
    ( spl0_131
    | spl0_136
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f202,f691,f880,f860]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f974,plain,
    ( spl0_136
    | spl0_141
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f202,f686,f900,f880]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f972,plain,
    ( spl0_143
    | spl0_147
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f202,f666,f926,f909]) ).

fof(f666,plain,
    ( spl0_94
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f959,plain,
    ( spl0_133
    | spl0_153
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f202,f506,f957,f868]) ).

fof(f506,plain,
    ( spl0_62
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f955,plain,
    ( spl0_144
    | spl0_152
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f202,f516,f953,f913]) ).

fof(f516,plain,
    ( spl0_64
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f951,plain,
    ( spl0_144
    | spl0_150
    | spl0_63
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f202,f511,f942,f913]) ).

fof(f511,plain,
    ( spl0_63
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp24
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f950,plain,
    ( spl0_151
    | spl0_130
    | spl0_33
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f202,f361,f855,f948]) ).

fof(f361,plain,
    ( spl0_33
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f946,plain,
    ( spl0_139
    | spl0_144
    | spl0_27
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f202,f331,f913,f892]) ).

fof(f331,plain,
    ( spl0_27
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp30
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f945,plain,
    ( spl0_147
    | spl0_150
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f202,f326,f942,f926]) ).

fof(f326,plain,
    ( spl0_26
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f944,plain,
    ( spl0_150
    | spl0_146
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f202,f346,f922,f942]) ).

fof(f346,plain,
    ( spl0_30
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f940,plain,
    ( spl0_149
    | spl0_145
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f202,f221,f918,f938]) ).

fof(f221,plain,
    ( spl0_5
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f935,plain,
    ( spl0_130
    | spl0_126
    | spl0_113
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f202,f761,f826,f855]) ).

fof(f761,plain,
    ( spl0_113
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp28
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f934,plain,
    ( spl0_145
    | spl0_112
    | spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f202,f746,f756,f918]) ).

fof(f746,plain,
    ( spl0_110
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp10
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f933,plain,
    ( spl0_135
    | spl0_112
    | spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f202,f746,f756,f876]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f924,plain,
    ( spl0_146
    | spl0_110
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f202,f686,f746,f922]) ).

fof(f162,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f920,plain,
    ( spl0_145
    | spl0_126
    | spl0_68
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f202,f536,f826,f918]) ).

fof(f536,plain,
    ( spl0_68
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp28
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f916,plain,
    ( spl0_143
    | spl0_126
    | spl0_66
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f202,f526,f826,f909]) ).

fof(f526,plain,
    ( spl0_66
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp28
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f911,plain,
    ( spl0_143
    | spl0_113
    | spl0_67
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f202,f531,f761,f909]) ).

fof(f531,plain,
    ( spl0_67
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp4
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f907,plain,
    ( spl0_142
    | spl0_111
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f202,f506,f751,f905]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp12
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f903,plain,
    ( spl0_141
    | spl0_113
    | spl0_65
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f202,f521,f761,f900]) ).

fof(f521,plain,
    ( spl0_65
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp4
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f898,plain,
    ( spl0_140
    | spl0_100
    | spl0_69
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f202,f541,f696,f896]) ).

fof(f696,plain,
    ( spl0_100
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f541,plain,
    ( spl0_69
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f894,plain,
    ( spl0_139
    | spl0_126
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f202,f341,f826,f892]) ).

fof(f341,plain,
    ( spl0_29
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp28
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f882,plain,
    ( spl0_136
    | spl0_99
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f202,f366,f691,f880]) ).

fof(f366,plain,
    ( spl0_34
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp29
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f874,plain,
    ( spl0_134
    | spl0_68
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f202,f341,f536,f872]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp7
      | ~ c2_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f862,plain,
    ( spl0_131
    | spl0_34
    | spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f202,f226,f366,f860]) ).

fof(f226,plain,
    ( spl0_6
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp16
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f858,plain,
    ( spl0_130
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f202,f696,f855]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f857,plain,
    ( spl0_130
    | spl0_32
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f202,f356,f855]) ).

fof(f356,plain,
    ( spl0_32
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f853,plain,
    ( spl0_112
    | spl0_111
    | spl0_98 ),
    inference(avatar_split_clause,[],[f40,f686,f751,f756]) ).

fof(f40,axiom,
    ( hskp18
    | hskp12
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f852,plain,
    ( spl0_126
    | spl0_112
    | spl0_66 ),
    inference(avatar_split_clause,[],[f38,f526,f756,f826]) ).

fof(f38,axiom,
    ( hskp2
    | hskp10
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f851,plain,
    ( spl0_111
    | spl0_112
    | spl0_64 ),
    inference(avatar_split_clause,[],[f39,f516,f756,f751]) ).

fof(f39,axiom,
    ( hskp9
    | hskp10
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f850,plain,
    ( spl0_113
    | spl0_94
    | spl0_26 ),
    inference(avatar_split_clause,[],[f37,f326,f666,f761]) ).

fof(f37,axiom,
    ( hskp21
    | hskp1
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f848,plain,
    ( spl0_94
    | spl0_63
    | spl0_3 ),
    inference(avatar_split_clause,[],[f36,f211,f511,f666]) ).

fof(f211,plain,
    ( spl0_3
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f36,axiom,
    ( hskp31
    | hskp24
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f846,plain,
    ( spl0_67
    | spl0_27
    | spl0_4 ),
    inference(avatar_split_clause,[],[f34,f216,f331,f531]) ).

fof(f216,plain,
    ( spl0_4
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f34,axiom,
    ( hskp26
    | hskp30
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f845,plain,
    ( spl0_64
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1,f511,f516]) ).

fof(f1,axiom,
    ( hskp24
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f844,plain,
    ( spl0_129
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f52,f826,f841]) ).

fof(f52,axiom,
    ( ~ hskp28
    | c2_1(a595) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f839,plain,
    ( spl0_128
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f53,f826,f836]) ).

fof(f53,axiom,
    ( ~ hskp28
    | c3_1(a595) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f834,plain,
    ( spl0_127
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f51,f826,f831]) ).

fof(f51,axiom,
    ( ~ hskp28
    | c1_1(a595) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f829,plain,
    ( spl0_1
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f5,f826,f202]) ).

fof(f5,axiom,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f824,plain,
    ( spl0_125
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f74,f756,f821]) ).

fof(f74,axiom,
    ( ~ hskp10
    | c0_1(a605) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f819,plain,
    ( spl0_124
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f75,f756,f816]) ).

fof(f75,axiom,
    ( ~ hskp10
    | c2_1(a605) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f814,plain,
    ( spl0_123
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f72,f751,f811]) ).

fof(f72,axiom,
    ( ~ hskp12
    | c2_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f809,plain,
    ( spl0_122
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f82,f746,f806]) ).

fof(f82,axiom,
    ( ~ hskp5
    | c2_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f804,plain,
    ( spl0_121
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f83,f746,f801]) ).

fof(f83,axiom,
    ( ~ hskp5
    | c3_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f799,plain,
    ( ~ spl0_120
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f129,f761,f796]) ).

fof(f129,axiom,
    ( ~ hskp4
    | ~ c0_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f794,plain,
    ( ~ spl0_119
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f131,f761,f791]) ).

fof(f131,axiom,
    ( ~ hskp4
    | ~ c2_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f789,plain,
    ( ~ spl0_118
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f121,f756,f786]) ).

fof(f121,axiom,
    ( ~ hskp10
    | ~ c3_1(a605) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f784,plain,
    ( ~ spl0_117
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f118,f751,f781]) ).

fof(f118,axiom,
    ( ~ hskp12
    | ~ c3_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f779,plain,
    ( ~ spl0_116
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f128,f746,f776]) ).

fof(f128,axiom,
    ( ~ hskp5
    | ~ c1_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f774,plain,
    ( ~ spl0_115
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f117,f751,f771]) ).

fof(f117,axiom,
    ( ~ hskp12
    | ~ c1_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f769,plain,
    ( ~ spl0_114
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f130,f761,f766]) ).

fof(f130,axiom,
    ( ~ hskp4
    | ~ c1_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f759,plain,
    ( spl0_1
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f23,f756,f202]) ).

fof(f23,axiom,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

fof(f744,plain,
    ( spl0_109
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f48,f691,f741]) ).

fof(f48,axiom,
    ( ~ hskp29
    | c0_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f739,plain,
    ( spl0_108
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f69,f696,f736]) ).

fof(f69,axiom,
    ( ~ hskp14
    | c0_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f734,plain,
    ( spl0_107
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f70,f696,f731]) ).

fof(f70,axiom,
    ( ~ hskp14
    | c2_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f729,plain,
    ( spl0_106
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f50,f691,f726]) ).

fof(f50,axiom,
    ( ~ hskp29
    | c3_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f724,plain,
    ( spl0_105
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f64,f686,f721]) ).

fof(f64,axiom,
    ( ~ hskp18
    | c3_1(a625) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f719,plain,
    ( spl0_104
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f49,f691,f716]) ).

fof(f49,axiom,
    ( ~ hskp29
    | c1_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f714,plain,
    ( ~ spl0_103
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f107,f686,f711]) ).

fof(f107,axiom,
    ( ~ hskp18
    | ~ c0_1(a625) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f709,plain,
    ( ~ spl0_102
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f108,f686,f706]) ).

fof(f108,axiom,
    ( ~ hskp18
    | ~ c1_1(a625) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f704,plain,
    ( ~ spl0_101
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f114,f696,f701]) ).

fof(f114,axiom,
    ( ~ hskp14
    | ~ c1_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f684,plain,
    ( spl0_97
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f87,f666,f681]) ).

fof(f87,axiom,
    ( ~ hskp1
    | c0_1(a594) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f679,plain,
    ( spl0_96
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f88,f666,f676]) ).

fof(f88,axiom,
    ( ~ hskp1
    | c1_1(a594) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f674,plain,
    ( ~ spl0_95
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f135,f666,f671]) ).

fof(f135,axiom,
    ( ~ hskp1
    | ~ c3_1(a594) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f664,plain,
    ( spl0_93
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f78,f541,f661]) ).

fof(f78,axiom,
    ( ~ hskp8
    | c0_1(a603) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f659,plain,
    ( spl0_92
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f77,f516,f656]) ).

fof(f77,axiom,
    ( ~ hskp9
    | c2_1(a604) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f654,plain,
    ( spl0_91
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f79,f536,f651]) ).

fof(f79,axiom,
    ( ~ hskp7
    | c2_1(a602) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f649,plain,
    ( spl0_90
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f86,f526,f646]) ).

fof(f86,axiom,
    ( ~ hskp2
    | c2_1(a596) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f644,plain,
    ( spl0_89
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f85,f531,f641]) ).

fof(f85,axiom,
    ( ~ hskp3
    | c2_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f639,plain,
    ( spl0_88
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f57,f511,f636]) ).

fof(f57,axiom,
    ( ~ hskp24
    | c3_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f634,plain,
    ( spl0_87
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f80,f536,f631]) ).

fof(f80,axiom,
    ( ~ hskp7
    | c3_1(a602) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f629,plain,
    ( spl0_86
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f76,f516,f626]) ).

fof(f76,axiom,
    ( ~ hskp9
    | c1_1(a604) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f624,plain,
    ( spl0_85
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f84,f531,f621]) ).

fof(f84,axiom,
    ( ~ hskp3
    | c1_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f619,plain,
    ( spl0_84
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f56,f511,f616]) ).

fof(f56,axiom,
    ( ~ hskp24
    | c1_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f614,plain,
    ( spl0_83
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f71,f506,f611]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c1_1(a614) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f609,plain,
    ( ~ spl0_82
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f100,f521,f606]) ).

fof(f100,axiom,
    ( ~ hskp22
    | ~ c0_1(a644) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f604,plain,
    ( ~ spl0_81
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f122,f516,f601]) ).

fof(f122,axiom,
    ( ~ hskp9
    | ~ c0_1(a604) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f599,plain,
    ( ~ spl0_80
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f125,f536,f596]) ).

fof(f125,axiom,
    ( ~ hskp7
    | ~ c0_1(a602) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f594,plain,
    ( ~ spl0_79
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f133,f526,f591]) ).

fof(f133,axiom,
    ( ~ hskp2
    | ~ c0_1(a596) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f589,plain,
    ( ~ spl0_78
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f115,f506,f586]) ).

fof(f115,axiom,
    ( ~ hskp13
    | ~ c2_1(a614) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f584,plain,
    ( ~ spl0_77
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f124,f541,f581]) ).

fof(f124,axiom,
    ( ~ hskp8
    | ~ c2_1(a603) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f579,plain,
    ( ~ spl0_76
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f97,f511,f576]) ).

fof(f97,axiom,
    ( ~ hskp24
    | ~ c2_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f574,plain,
    ( ~ spl0_75
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f101,f521,f571]) ).

fof(f101,axiom,
    ( ~ hskp22
    | ~ c2_1(a644) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f569,plain,
    ( ~ spl0_74
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f132,f531,f566]) ).

fof(f132,axiom,
    ( ~ hskp3
    | ~ c3_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f564,plain,
    ( ~ spl0_73
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f116,f506,f561]) ).

fof(f116,axiom,
    ( ~ hskp13
    | ~ c3_1(a614) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f559,plain,
    ( ~ spl0_72
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f102,f521,f556]) ).

fof(f102,axiom,
    ( ~ hskp22
    | ~ c3_1(a644) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f549,plain,
    ( ~ spl0_70
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f134,f526,f546]) ).

fof(f134,axiom,
    ( ~ hskp2
    | ~ c1_1(a596) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f529,plain,
    ( spl0_1
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f31,f526,f202]) ).

fof(f31,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f504,plain,
    ( spl0_61
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f59,f326,f501]) ).

fof(f59,axiom,
    ( ~ hskp21
    | c0_1(a631) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f499,plain,
    ( spl0_60
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f63,f341,f496]) ).

fof(f63,axiom,
    ( ~ hskp19
    | c0_1(a627) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f494,plain,
    ( spl0_59
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f65,f346,f491]) ).

fof(f65,axiom,
    ( ~ hskp17
    | c0_1(a624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f489,plain,
    ( spl0_58
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f45,f331,f486]) ).

fof(f45,axiom,
    ( ~ hskp30
    | c0_1(a637) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f484,plain,
    ( spl0_57
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f89,f361,f481]) ).

fof(f89,axiom,
    ( ~ hskp0
    | c2_1(a593) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f479,plain,
    ( spl0_56
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f47,f331,f476]) ).

fof(f47,axiom,
    ( ~ hskp30
    | c2_1(a637) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f474,plain,
    ( spl0_55
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f60,f326,f471]) ).

fof(f60,axiom,
    ( ~ hskp21
    | c3_1(a631) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f469,plain,
    ( spl0_54
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f55,f356,f466]) ).

fof(f55,axiom,
    ( ~ hskp25
    | c3_1(a656) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f454,plain,
    ( spl0_51
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f46,f331,f451]) ).

fof(f46,axiom,
    ( ~ hskp30
    | c1_1(a637) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f449,plain,
    ( spl0_50
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f54,f356,f446]) ).

fof(f54,axiom,
    ( ~ hskp25
    | c1_1(a656) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f444,plain,
    ( spl0_49
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f66,f346,f441]) ).

fof(f66,axiom,
    ( ~ hskp17
    | c1_1(a624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f439,plain,
    ( spl0_48
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f67,f366,f436]) ).

fof(f67,axiom,
    ( ~ hskp16
    | c1_1(a620) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f434,plain,
    ( ~ spl0_47
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f110,f366,f431]) ).

fof(f110,axiom,
    ( ~ hskp16
    | ~ c0_1(a620) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f429,plain,
    ( ~ spl0_46
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f96,f356,f426]) ).

fof(f96,axiom,
    ( ~ hskp25
    | ~ c0_1(a656) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f424,plain,
    ( ~ spl0_45
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f136,f361,f421]) ).

fof(f136,axiom,
    ( ~ hskp0
    | ~ c0_1(a593) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f414,plain,
    ( ~ spl0_43
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f105,f341,f411]) ).

fof(f105,axiom,
    ( ~ hskp19
    | ~ c2_1(a627) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f404,plain,
    ( ~ spl0_41
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f109,f346,f401]) ).

fof(f109,axiom,
    ( ~ hskp17
    | ~ c2_1(a624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f394,plain,
    ( ~ spl0_39
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f111,f366,f391]) ).

fof(f111,axiom,
    ( ~ hskp16
    | ~ c2_1(a620) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f389,plain,
    ( ~ spl0_38
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f106,f341,f386]) ).

fof(f106,axiom,
    ( ~ hskp19
    | ~ c3_1(a627) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f384,plain,
    ( ~ spl0_37
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f137,f361,f381]) ).

fof(f137,axiom,
    ( ~ hskp0
    | ~ c3_1(a593) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f379,plain,
    ( ~ spl0_36
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f103,f326,f376]) ).

fof(f103,axiom,
    ( ~ hskp21
    | ~ c1_1(a631) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f324,plain,
    ( spl0_25
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f68,f226,f321]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c0_1(a619) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f314,plain,
    ( spl0_23
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f42,f211,f311]) ).

fof(f42,axiom,
    ( ~ hskp31
    | c0_1(a672) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f309,plain,
    ( spl0_22
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f43,f211,f306]) ).

fof(f43,axiom,
    ( ~ hskp31
    | c2_1(a672) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f299,plain,
    ( spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f44,f211,f296]) ).

fof(f44,axiom,
    ( ~ hskp31
    | c3_1(a672) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f294,plain,
    ( spl0_19
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f73,f221,f291]) ).

fof(f73,axiom,
    ( ~ hskp11
    | c1_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f284,plain,
    ( ~ spl0_17
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f93,f216,f281]) ).

fof(f93,axiom,
    ( ~ hskp26
    | ~ c0_1(a667) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f264,plain,
    ( ~ spl0_13
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f113,f226,f261]) ).

fof(f113,axiom,
    ( ~ hskp15
    | ~ c3_1(a619) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f259,plain,
    ( ~ spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f95,f216,f256]) ).

fof(f95,axiom,
    ( ~ hskp26
    | ~ c3_1(a667) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f254,plain,
    ( ~ spl0_11
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f120,f221,f251]) ).

fof(f120,axiom,
    ( ~ hskp11
    | ~ c3_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.23  % Problem    : SYN471-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.25  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.48  % Computer : n009.cluster.edu
% 0.16/0.48  % Model    : x86_64 x86_64
% 0.16/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.48  % Memory   : 8042.1875MB
% 0.16/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.48  % CPULimit   : 300
% 0.16/0.48  % WCLimit    : 300
% 0.16/0.48  % DateTime   : Fri May  3 17:43:53 EDT 2024
% 0.16/0.48  % CPUTime    : 
% 0.16/0.49  % (12948)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.51  % (12949)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.51  % (12952)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.51  Detected minimum model sizes of [1]
% 0.16/0.51  Detected maximum model sizes of [32]
% 0.16/0.51  TRYING [1]
% 0.16/0.51  TRYING [2]
% 0.16/0.52  TRYING [3]
% 0.16/0.52  Detected minimum model sizes of [1]
% 0.16/0.52  Detected maximum model sizes of [32]
% 0.16/0.52  TRYING [1]
% 0.16/0.52  TRYING [2]
% 0.16/0.52  % (12953)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.52  TRYING [3]
% 0.16/0.52  TRYING [4]
% 0.16/0.52  % (12955)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)
% 0.16/0.52  % (12951)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)
% 0.16/0.52  TRYING [4]
% 0.16/0.53  % (12954)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.53  Detected minimum model sizes of [1]
% 0.16/0.53  Detected maximum model sizes of [32]
% 0.16/0.53  TRYING [1]
% 0.16/0.53  TRYING [2]
% 0.16/0.53  % (12950)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.54  TRYING [5]
% 0.16/0.54  TRYING [3]
% 0.16/0.54  Detected minimum model sizes of [1]
% 0.16/0.54  Detected maximum model sizes of [32]
% 0.16/0.54  TRYING [1]
% 0.16/0.54  TRYING [2]
% 0.16/0.54  TRYING [3]
% 0.16/0.55  TRYING [4]
% 0.16/0.56  TRYING [5]
% 0.16/0.56  TRYING [4]
% 0.16/0.56  TRYING [5]
% 0.45/0.57  TRYING [5]
% 0.73/0.59  % (12954)First to succeed.
% 0.73/0.60  % (12951)Also succeeded, but the first one will report.
% 0.73/0.60  % (12954)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12948"
% 0.73/0.60  % (12954)Refutation found. Thanks to Tanya!
% 0.73/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.73/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.61  % (12954)------------------------------
% 0.73/0.61  % (12954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.61  % (12954)Termination reason: Refutation
% 0.73/0.61  
% 0.73/0.61  % (12954)Memory used [KB]: 2093
% 0.73/0.61  % (12954)Time elapsed: 0.073 s
% 0.73/0.61  % (12954)Instructions burned: 102 (million)
% 0.73/0.61  % (12948)Success in time 0.112 s
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