TSTP Solution File: SYN482-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN482-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:24 EDT 2022

% Result   : Unsatisfiable 2.22s 0.70s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  241
% Syntax   : Number of formulae    :  660 (   1 unt;   0 def)
%            Number of atoms       : 2224 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2832 (1268   ~;1438   |;   0   &)
%                                         ( 126 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  159 ( 158 usr; 155 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  160 ( 160   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3290,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f267,f274,f294,f304,f313,f327,f332,f357,f362,f367,f384,f406,f411,f416,f435,f444,f449,f473,f483,f502,f507,f516,f521,f528,f533,f538,f543,f544,f548,f553,f562,f567,f573,f578,f591,f592,f598,f607,f612,f618,f625,f629,f638,f648,f654,f664,f670,f675,f678,f689,f694,f699,f708,f709,f714,f721,f723,f729,f734,f745,f746,f751,f756,f765,f770,f772,f773,f779,f780,f783,f798,f799,f809,f812,f814,f819,f824,f829,f831,f833,f834,f839,f841,f846,f847,f853,f861,f862,f868,f885,f890,f895,f900,f905,f910,f915,f920,f921,f922,f927,f932,f938,f939,f944,f951,f952,f953,f955,f961,f962,f967,f978,f984,f989,f1024,f1044,f1046,f1094,f1108,f1125,f1186,f1203,f1207,f1225,f1338,f1352,f1442,f1456,f1463,f1510,f1551,f1571,f1622,f1635,f1675,f1692,f1699,f1752,f1773,f1857,f1913,f1959,f1997,f2015,f2021,f2079,f2101,f2105,f2126,f2127,f2279,f2314,f2429,f2541,f2550,f2585,f2793,f2972,f3078,f3080,f3116,f3158,f3198,f3200,f3268,f3271,f3289]) ).

fof(f3289,plain,
    ( ~ spl0_12
    | ~ spl0_68
    | spl0_84
    | spl0_144 ),
    inference(avatar_contradiction_clause,[],[f3288]) ).

fof(f3288,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_68
    | spl0_84
    | spl0_144 ),
    inference(subsumption_resolution,[],[f3287,f577]) ).

fof(f577,plain,
    ( ~ c3_1(a1809)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl0_84
  <=> c3_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f3287,plain,
    ( c3_1(a1809)
    | ~ spl0_12
    | ~ spl0_68
    | spl0_144 ),
    inference(subsumption_resolution,[],[f3286,f914]) ).

fof(f914,plain,
    ( ~ c1_1(a1809)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl0_144
  <=> c1_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3286,plain,
    ( c1_1(a1809)
    | c3_1(a1809)
    | ~ spl0_12
    | ~ spl0_68 ),
    inference(resolution,[],[f501,f250]) ).

fof(f250,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl0_12
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f501,plain,
    ( c0_1(a1809)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f499,plain,
    ( spl0_68
  <=> c0_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3271,plain,
    ( ~ spl0_28
    | ~ spl0_88
    | spl0_91
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3270]) ).

fof(f3270,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_88
    | spl0_91
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f3269,f611]) ).

fof(f611,plain,
    ( ~ c0_1(a1771)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl0_91
  <=> c0_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3269,plain,
    ( c0_1(a1771)
    | ~ spl0_28
    | ~ spl0_88
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f3263,f597]) ).

fof(f597,plain,
    ( c1_1(a1771)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f595,plain,
    ( spl0_88
  <=> c1_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3263,plain,
    ( c0_1(a1771)
    | ~ c1_1(a1771)
    | ~ spl0_28
    | ~ spl0_117 ),
    inference(resolution,[],[f750,f316]) ).

fof(f316,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f750,plain,
    ( c2_1(a1771)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f748,plain,
    ( spl0_117
  <=> c2_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3268,plain,
    ( ~ spl0_78
    | ~ spl0_88
    | ~ spl0_90
    | spl0_91
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f3267]) ).

fof(f3267,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_88
    | ~ spl0_90
    | spl0_91
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f3266,f3232]) ).

fof(f3232,plain,
    ( ~ c3_1(a1771)
    | ~ spl0_78
    | ~ spl0_88
    | spl0_91 ),
    inference(subsumption_resolution,[],[f3231,f611]) ).

fof(f3231,plain,
    ( ~ c3_1(a1771)
    | c0_1(a1771)
    | ~ spl0_78
    | ~ spl0_88 ),
    inference(resolution,[],[f597,f547]) ).

fof(f547,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl0_78
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f3266,plain,
    ( c3_1(a1771)
    | ~ spl0_88
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f3265,f597]) ).

fof(f3265,plain,
    ( ~ c1_1(a1771)
    | c3_1(a1771)
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(resolution,[],[f750,f606]) ).

fof(f606,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f605,plain,
    ( spl0_90
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3200,plain,
    ( spl0_114
    | spl0_6
    | spl0_39
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f3199,f530,f364,f224,f731]) ).

fof(f731,plain,
    ( spl0_114
  <=> c2_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f224,plain,
    ( spl0_6
  <=> c1_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f364,plain,
    ( spl0_39
  <=> c3_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f530,plain,
    ( spl0_75
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3199,plain,
    ( c2_1(a1782)
    | spl0_6
    | spl0_39
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f3174,f226]) ).

fof(f226,plain,
    ( ~ c1_1(a1782)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f3174,plain,
    ( c2_1(a1782)
    | c1_1(a1782)
    | spl0_39
    | ~ spl0_75 ),
    inference(resolution,[],[f531,f366]) ).

fof(f366,plain,
    ( ~ c3_1(a1782)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f531,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f3198,plain,
    ( ~ spl0_11
    | ~ spl0_90
    | ~ spl0_122
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3197]) ).

fof(f3197,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_90
    | ~ spl0_122
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3196,f966]) ).

fof(f966,plain,
    ( c1_1(a1756)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f964,plain,
    ( spl0_152
  <=> c1_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3196,plain,
    ( ~ c1_1(a1756)
    | ~ spl0_11
    | ~ spl0_90
    | ~ spl0_122
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(resolution,[],[f2727,f2241]) ).

fof(f2241,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f247,f606]) ).

fof(f247,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2727,plain,
    ( c2_1(a1756)
    | ~ spl0_122
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2694,f926]) ).

fof(f926,plain,
    ( c0_1(a1756)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl0_146
  <=> c0_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2694,plain,
    ( ~ c0_1(a1756)
    | c2_1(a1756)
    | ~ spl0_122
    | ~ spl0_152 ),
    inference(resolution,[],[f776,f966]) ).

fof(f776,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_122
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3158,plain,
    ( spl0_150
    | ~ spl0_41
    | spl0_133
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3154,f882,f850,f373,f948]) ).

fof(f948,plain,
    ( spl0_150
  <=> c0_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f373,plain,
    ( spl0_41
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f850,plain,
    ( spl0_133
  <=> c3_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f882,plain,
    ( spl0_138
  <=> c2_1(a1777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3154,plain,
    ( c0_1(a1777)
    | ~ spl0_41
    | spl0_133
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3142,f852]) ).

fof(f852,plain,
    ( ~ c3_1(a1777)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f3142,plain,
    ( c0_1(a1777)
    | c3_1(a1777)
    | ~ spl0_41
    | ~ spl0_138 ),
    inference(resolution,[],[f374,f884]) ).

fof(f884,plain,
    ( c2_1(a1777)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f374,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f3116,plain,
    ( ~ spl0_23
    | ~ spl0_86
    | spl0_99
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f3115]) ).

fof(f3115,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_86
    | spl0_99
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f3114,f647]) ).

fof(f647,plain,
    ( ~ c2_1(a1780)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl0_99
  <=> c2_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3114,plain,
    ( c2_1(a1780)
    | ~ spl0_23
    | ~ spl0_86
    | spl0_99
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f3109,f2769]) ).

fof(f2769,plain,
    ( ~ c0_1(a1780)
    | spl0_99
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2700,f647]) ).

fof(f2700,plain,
    ( ~ c0_1(a1780)
    | c2_1(a1780)
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(resolution,[],[f776,f823]) ).

fof(f823,plain,
    ( c1_1(a1780)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f821,plain,
    ( spl0_129
  <=> c1_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3109,plain,
    ( c2_1(a1780)
    | c0_1(a1780)
    | ~ spl0_23
    | ~ spl0_86 ),
    inference(resolution,[],[f293,f586]) ).

fof(f586,plain,
    ( c3_1(a1780)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f584,plain,
    ( spl0_86
  <=> c3_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f293,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl0_23
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f3080,plain,
    ( ~ spl0_46
    | ~ spl0_78
    | ~ spl0_86
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f3079]) ).

fof(f3079,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_78
    | ~ spl0_86
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f3072,f823]) ).

fof(f3072,plain,
    ( ~ c1_1(a1780)
    | ~ spl0_46
    | ~ spl0_78
    | ~ spl0_86 ),
    inference(resolution,[],[f3012,f586]) ).

fof(f3012,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f396,f547]) ).

fof(f396,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_46
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3078,plain,
    ( ~ spl0_46
    | ~ spl0_78
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3077]) ).

fof(f3077,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_78
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3068,f966]) ).

fof(f3068,plain,
    ( ~ c1_1(a1756)
    | ~ spl0_46
    | ~ spl0_78
    | ~ spl0_147 ),
    inference(resolution,[],[f3012,f931]) ).

fof(f931,plain,
    ( c3_1(a1756)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl0_147
  <=> c3_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2972,plain,
    ( spl0_48
    | ~ spl0_31
    | ~ spl0_76
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2971,f775,f535,f329,f403]) ).

fof(f403,plain,
    ( spl0_48
  <=> c2_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f329,plain,
    ( spl0_31
  <=> c0_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f535,plain,
    ( spl0_76
  <=> c1_1(a1757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2971,plain,
    ( c2_1(a1757)
    | ~ spl0_31
    | ~ spl0_76
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2705,f331]) ).

fof(f331,plain,
    ( c0_1(a1757)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f2705,plain,
    ( c2_1(a1757)
    | ~ c0_1(a1757)
    | ~ spl0_76
    | ~ spl0_122 ),
    inference(resolution,[],[f776,f537]) ).

fof(f537,plain,
    ( c1_1(a1757)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f2793,plain,
    ( ~ spl0_54
    | spl0_71
    | ~ spl0_85
    | spl0_92 ),
    inference(avatar_contradiction_clause,[],[f2792]) ).

fof(f2792,plain,
    ( $false
    | ~ spl0_54
    | spl0_71
    | ~ spl0_85
    | spl0_92 ),
    inference(subsumption_resolution,[],[f2791,f434]) ).

fof(f434,plain,
    ( c3_1(a1767)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f432,plain,
    ( spl0_54
  <=> c3_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2791,plain,
    ( ~ c3_1(a1767)
    | spl0_71
    | ~ spl0_85
    | spl0_92 ),
    inference(subsumption_resolution,[],[f2789,f515]) ).

fof(f515,plain,
    ( ~ c1_1(a1767)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f513,plain,
    ( spl0_71
  <=> c1_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2789,plain,
    ( ~ c3_1(a1767)
    | c1_1(a1767)
    | ~ spl0_85
    | spl0_92 ),
    inference(resolution,[],[f617,f581]) ).

fof(f581,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl0_85
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f617,plain,
    ( ~ c0_1(a1767)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_92
  <=> c0_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2585,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_94
    | ~ spl0_125
    | spl0_127
    | spl0_132 ),
    inference(avatar_contradiction_clause,[],[f2584]) ).

fof(f2584,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_94
    | ~ spl0_125
    | spl0_127
    | spl0_132 ),
    inference(subsumption_resolution,[],[f2581,f845]) ).

fof(f845,plain,
    ( ~ c1_1(a1807)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f843,plain,
    ( spl0_132
  <=> c1_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2581,plain,
    ( c1_1(a1807)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_94
    | ~ spl0_125
    | spl0_127 ),
    inference(resolution,[],[f2559,f808]) ).

fof(f808,plain,
    ( ~ c0_1(a1807)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f806,plain,
    ( spl0_127
  <=> c0_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2559,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_94
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f343,f2558]) ).

fof(f2558,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_94
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f796,f2460]) ).

fof(f2460,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_23
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f293,f624]) ).

fof(f624,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f623,plain,
    ( spl0_94
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f796,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_125
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl0_34
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2550,plain,
    ( ~ spl0_95
    | ~ spl0_107
    | ~ spl0_122
    | spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2549,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_107
    | ~ spl0_122
    | spl0_148 ),
    inference(subsumption_resolution,[],[f2516,f937]) ).

fof(f937,plain,
    ( ~ c2_1(a1779)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_148
  <=> c2_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2516,plain,
    ( c2_1(a1779)
    | ~ spl0_95
    | ~ spl0_107
    | ~ spl0_122 ),
    inference(resolution,[],[f2463,f693]) ).

fof(f693,plain,
    ( c0_1(a1779)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f691,plain,
    ( spl0_107
  <=> c0_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2463,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_95
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f628,f776]) ).

fof(f628,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl0_95
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2541,plain,
    ( ~ spl0_95
    | ~ spl0_116
    | ~ spl0_122
    | spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2540]) ).

fof(f2540,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_116
    | ~ spl0_122
    | spl0_151 ),
    inference(subsumption_resolution,[],[f2519,f960]) ).

fof(f960,plain,
    ( ~ c2_1(a1768)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f958,plain,
    ( spl0_151
  <=> c2_1(a1768) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2519,plain,
    ( c2_1(a1768)
    | ~ spl0_95
    | ~ spl0_116
    | ~ spl0_122 ),
    inference(resolution,[],[f2463,f744]) ).

fof(f744,plain,
    ( c0_1(a1768)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f742,plain,
    ( spl0_116
  <=> c0_1(a1768) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2429,plain,
    ( spl0_77
    | spl0_15
    | ~ spl0_37
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2428,f718,f355,f260,f540]) ).

fof(f540,plain,
    ( spl0_77
  <=> c3_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f260,plain,
    ( spl0_15
  <=> c0_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f355,plain,
    ( spl0_37
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f718,plain,
    ( spl0_112
  <=> c1_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2428,plain,
    ( c3_1(a1770)
    | spl0_15
    | ~ spl0_37
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f2397,f720]) ).

fof(f720,plain,
    ( c1_1(a1770)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f2397,plain,
    ( ~ c1_1(a1770)
    | c3_1(a1770)
    | spl0_15
    | ~ spl0_37 ),
    inference(resolution,[],[f356,f262]) ).

fof(f262,plain,
    ( ~ c0_1(a1770)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f356,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f2314,plain,
    ( ~ spl0_11
    | ~ spl0_64
    | ~ spl0_82
    | ~ spl0_90 ),
    inference(avatar_contradiction_clause,[],[f2313]) ).

fof(f2313,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_64
    | ~ spl0_82
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f2312,f566]) ).

fof(f566,plain,
    ( c1_1(a1795)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f564,plain,
    ( spl0_82
  <=> c1_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2312,plain,
    ( ~ c1_1(a1795)
    | ~ spl0_11
    | ~ spl0_64
    | ~ spl0_90 ),
    inference(resolution,[],[f482,f2241]) ).

fof(f482,plain,
    ( c2_1(a1795)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_64
  <=> c2_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2279,plain,
    ( ~ spl0_13
    | ~ spl0_37
    | spl0_77
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2278]) ).

fof(f2278,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_37
    | spl0_77
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f2267,f720]) ).

fof(f2267,plain,
    ( ~ c1_1(a1770)
    | ~ spl0_13
    | ~ spl0_37
    | spl0_77 ),
    inference(resolution,[],[f2236,f542]) ).

fof(f542,plain,
    ( ~ c3_1(a1770)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f2236,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f254,f356]) ).

fof(f254,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2127,plain,
    ( ~ spl0_11
    | ~ spl0_72
    | ~ spl0_90
    | ~ spl0_110
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2123]) ).

fof(f2123,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_72
    | ~ spl0_90
    | ~ spl0_110
    | ~ spl0_122 ),
    inference(resolution,[],[f2109,f520]) ).

fof(f520,plain,
    ( c1_1(a1755)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f518,plain,
    ( spl0_72
  <=> c1_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2109,plain,
    ( ! [X0] : ~ c1_1(X0)
    | ~ spl0_11
    | ~ spl0_90
    | ~ spl0_110
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f2108,f2106]) ).

fof(f2106,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f606,f247]) ).

fof(f2108,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_110
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f776,f706]) ).

fof(f706,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl0_110
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2126,plain,
    ( ~ spl0_11
    | ~ spl0_90
    | ~ spl0_110
    | ~ spl0_122
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2120,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_90
    | ~ spl0_110
    | ~ spl0_122
    | ~ spl0_142 ),
    inference(resolution,[],[f2109,f904]) ).

fof(f904,plain,
    ( c1_1(a1759)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f902,plain,
    ( spl0_142
  <=> c1_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2105,plain,
    ( ~ spl0_17
    | ~ spl0_50
    | ~ spl0_140
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2104]) ).

fof(f2104,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_50
    | ~ spl0_140
    | spl0_157 ),
    inference(subsumption_resolution,[],[f2103,f1462]) ).

fof(f1462,plain,
    ( ~ c1_1(a1805)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1460]) ).

fof(f1460,plain,
    ( spl0_157
  <=> c1_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2103,plain,
    ( c1_1(a1805)
    | ~ spl0_17
    | ~ spl0_50
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2063,f415]) ).

fof(f415,plain,
    ( c0_1(a1805)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl0_50
  <=> c0_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2063,plain,
    ( ~ c0_1(a1805)
    | c1_1(a1805)
    | ~ spl0_17
    | ~ spl0_140 ),
    inference(resolution,[],[f270,f894]) ).

fof(f894,plain,
    ( c2_1(a1805)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f892,plain,
    ( spl0_140
  <=> c2_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f270,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl0_17
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2101,plain,
    ( ~ spl0_30
    | ~ spl0_57
    | ~ spl0_74
    | spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2100]) ).

fof(f2100,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_74
    | spl0_131 ),
    inference(subsumption_resolution,[],[f2099,f448]) ).

fof(f448,plain,
    ( c3_1(a1781)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f446,plain,
    ( spl0_57
  <=> c3_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2099,plain,
    ( ~ c3_1(a1781)
    | ~ spl0_30
    | ~ spl0_74
    | spl0_131 ),
    inference(subsumption_resolution,[],[f2089,f838]) ).

fof(f838,plain,
    ( ~ c1_1(a1781)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f836,plain,
    ( spl0_131
  <=> c1_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2089,plain,
    ( c1_1(a1781)
    | ~ c3_1(a1781)
    | ~ spl0_30
    | ~ spl0_74 ),
    inference(resolution,[],[f527,f326]) ).

fof(f326,plain,
    ( c2_1(a1781)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl0_30
  <=> c2_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f527,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl0_74
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2079,plain,
    ( ~ spl0_17
    | ~ spl0_81
    | spl0_149
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2078,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_81
    | spl0_149
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2077,f988]) ).

fof(f988,plain,
    ( c0_1(a1765)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f986,plain,
    ( spl0_156
  <=> c0_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2077,plain,
    ( ~ c0_1(a1765)
    | ~ spl0_17
    | ~ spl0_81
    | spl0_149 ),
    inference(subsumption_resolution,[],[f2069,f943]) ).

fof(f943,plain,
    ( ~ c1_1(a1765)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_149
  <=> c1_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2069,plain,
    ( c1_1(a1765)
    | ~ c0_1(a1765)
    | ~ spl0_17
    | ~ spl0_81 ),
    inference(resolution,[],[f270,f561]) ).

fof(f561,plain,
    ( c2_1(a1765)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f559,plain,
    ( spl0_81
  <=> c2_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2021,plain,
    ( ~ spl0_22
    | ~ spl0_81
    | ~ spl0_93
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2020]) ).

fof(f2020,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_81
    | ~ spl0_93
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2011,f561]) ).

fof(f2011,plain,
    ( ~ c2_1(a1765)
    | ~ spl0_22
    | ~ spl0_93
    | ~ spl0_156 ),
    inference(resolution,[],[f2000,f988]) ).

fof(f2000,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f621,f290]) ).

fof(f290,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl0_22
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f621,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f620,plain,
    ( spl0_93
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2015,plain,
    ( ~ spl0_22
    | ~ spl0_50
    | ~ spl0_93
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2014]) ).

fof(f2014,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_50
    | ~ spl0_93
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2002,f894]) ).

fof(f2002,plain,
    ( ~ c2_1(a1805)
    | ~ spl0_22
    | ~ spl0_50
    | ~ spl0_93 ),
    inference(resolution,[],[f2000,f415]) ).

fof(f1997,plain,
    ( ~ spl0_8
    | ~ spl0_22
    | ~ spl0_130
    | spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_22
    | ~ spl0_130
    | spl0_134 ),
    inference(subsumption_resolution,[],[f1984,f860]) ).

fof(f860,plain,
    ( ~ c3_1(a1788)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl0_134
  <=> c3_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1984,plain,
    ( c3_1(a1788)
    | ~ spl0_8
    | ~ spl0_22
    | ~ spl0_130 ),
    inference(resolution,[],[f1977,f828]) ).

fof(f828,plain,
    ( c0_1(a1788)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f826,plain,
    ( spl0_130
  <=> c0_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1977,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f234,f290]) ).

fof(f234,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1959,plain,
    ( ~ spl0_13
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_82
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1954,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_82
    | ~ spl0_110 ),
    inference(resolution,[],[f1944,f566]) ).

fof(f1944,plain,
    ( ! [X0] : ~ c1_1(X0)
    | ~ spl0_13
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1943,f1781]) ).

fof(f1781,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_28
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f254,f1779]) ).

fof(f1779,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_28
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f316,f706]) ).

fof(f1943,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_46
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f396,f1779]) ).

fof(f1913,plain,
    ( ~ spl0_28
    | spl0_56
    | ~ spl0_72
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1912,plain,
    ( $false
    | ~ spl0_28
    | spl0_56
    | ~ spl0_72
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f1911,f443]) ).

fof(f443,plain,
    ( ~ c0_1(a1755)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl0_56
  <=> c0_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1911,plain,
    ( c0_1(a1755)
    | ~ spl0_28
    | ~ spl0_72
    | ~ spl0_110 ),
    inference(resolution,[],[f520,f1779]) ).

fof(f1857,plain,
    ( spl0_99
    | ~ spl0_110
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1856,plain,
    ( $false
    | spl0_99
    | ~ spl0_110
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1853,f647]) ).

fof(f1853,plain,
    ( c2_1(a1780)
    | ~ spl0_110
    | ~ spl0_122
    | ~ spl0_129 ),
    inference(resolution,[],[f1782,f823]) ).

fof(f1782,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_110
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f776,f706]) ).

fof(f1773,plain,
    ( ~ spl0_12
    | ~ spl0_50
    | ~ spl0_73
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1772]) ).

fof(f1772,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_50
    | ~ spl0_73
    | spl0_157 ),
    inference(subsumption_resolution,[],[f1757,f1462]) ).

fof(f1757,plain,
    ( c1_1(a1805)
    | ~ spl0_12
    | ~ spl0_50
    | ~ spl0_73 ),
    inference(resolution,[],[f1755,f415]) ).

fof(f1755,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_12
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f524,f250]) ).

fof(f524,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f523,plain,
    ( spl0_73
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1752,plain,
    ( ~ spl0_11
    | ~ spl0_43
    | ~ spl0_74
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1751]) ).

fof(f1751,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_43
    | ~ spl0_74
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1740,f383]) ).

fof(f383,plain,
    ( c3_1(a1805)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl0_43
  <=> c3_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1740,plain,
    ( ~ c3_1(a1805)
    | ~ spl0_11
    | ~ spl0_74
    | ~ spl0_140 ),
    inference(resolution,[],[f1723,f894]) ).

fof(f1723,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_11
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f247,f527]) ).

fof(f1699,plain,
    ( ~ spl0_78
    | ~ spl0_85
    | spl0_97
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_85
    | spl0_97
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1682,f755]) ).

fof(f755,plain,
    ( c3_1(a1783)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl0_118
  <=> c3_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1682,plain,
    ( ~ c3_1(a1783)
    | ~ spl0_78
    | ~ spl0_85
    | spl0_97 ),
    inference(resolution,[],[f1644,f637]) ).

fof(f637,plain,
    ( ~ c0_1(a1783)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl0_97
  <=> c0_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1644,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_78
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f581,f547]) ).

fof(f1692,plain,
    ( ~ spl0_78
    | ~ spl0_85
    | spl0_139
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1691]) ).

fof(f1691,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_85
    | spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1686,f899]) ).

fof(f899,plain,
    ( c3_1(a1762)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f897,plain,
    ( spl0_141
  <=> c3_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1686,plain,
    ( ~ c3_1(a1762)
    | ~ spl0_78
    | ~ spl0_85
    | spl0_139 ),
    inference(resolution,[],[f1644,f889]) ).

fof(f889,plain,
    ( ~ c0_1(a1762)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f887,plain,
    ( spl0_139
  <=> c0_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1675,plain,
    ( ~ spl0_23
    | spl0_111
    | ~ spl0_125
    | spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | ~ spl0_23
    | spl0_111
    | ~ spl0_125
    | spl0_154 ),
    inference(subsumption_resolution,[],[f1669,f977]) ).

fof(f977,plain,
    ( ~ c2_1(a1827)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f975,plain,
    ( spl0_154
  <=> c2_1(a1827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1669,plain,
    ( c2_1(a1827)
    | ~ spl0_23
    | spl0_111
    | ~ spl0_125 ),
    inference(resolution,[],[f1643,f713]) ).

fof(f713,plain,
    ( ~ c0_1(a1827)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f711,plain,
    ( spl0_111
  <=> c0_1(a1827) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1643,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f796,f293]) ).

fof(f1635,plain,
    ( ~ spl0_11
    | ~ spl0_88
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1634]) ).

fof(f1634,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_88
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f1632,f597]) ).

fof(f1632,plain,
    ( ~ c1_1(a1771)
    | ~ spl0_11
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(resolution,[],[f750,f1458]) ).

fof(f1458,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f606,f247]) ).

fof(f1622,plain,
    ( ~ spl0_78
    | spl0_97
    | ~ spl0_102
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | ~ spl0_78
    | spl0_97
    | ~ spl0_102
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1620,f637]) ).

fof(f1620,plain,
    ( c0_1(a1783)
    | ~ spl0_78
    | ~ spl0_102
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1613,f755]) ).

fof(f1613,plain,
    ( ~ c3_1(a1783)
    | c0_1(a1783)
    | ~ spl0_78
    | ~ spl0_102 ),
    inference(resolution,[],[f547,f663]) ).

fof(f663,plain,
    ( c1_1(a1783)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl0_102
  <=> c1_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1571,plain,
    ( ~ spl0_23
    | spl0_62
    | ~ spl0_106
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1570,plain,
    ( $false
    | ~ spl0_23
    | spl0_62
    | ~ spl0_106
    | spl0_113 ),
    inference(subsumption_resolution,[],[f1569,f728]) ).

fof(f728,plain,
    ( ~ c2_1(a1799)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_113
  <=> c2_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1569,plain,
    ( c2_1(a1799)
    | ~ spl0_23
    | spl0_62
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f1560,f472]) ).

fof(f472,plain,
    ( ~ c0_1(a1799)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl0_62
  <=> c0_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1560,plain,
    ( c0_1(a1799)
    | c2_1(a1799)
    | ~ spl0_23
    | ~ spl0_106 ),
    inference(resolution,[],[f293,f688]) ).

fof(f688,plain,
    ( c3_1(a1799)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f686,plain,
    ( spl0_106
  <=> c3_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1551,plain,
    ( ~ spl0_13
    | ~ spl0_69
    | ~ spl0_79
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_69
    | ~ spl0_79
    | spl0_143 ),
    inference(subsumption_resolution,[],[f1549,f552]) ).

fof(f552,plain,
    ( c1_1(a1786)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_79
  <=> c1_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1549,plain,
    ( ~ c1_1(a1786)
    | ~ spl0_13
    | ~ spl0_69
    | spl0_143 ),
    inference(subsumption_resolution,[],[f1540,f909]) ).

fof(f909,plain,
    ( ~ c3_1(a1786)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f907,plain,
    ( spl0_143
  <=> c3_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1540,plain,
    ( c3_1(a1786)
    | ~ c1_1(a1786)
    | ~ spl0_13
    | ~ spl0_69 ),
    inference(resolution,[],[f254,f506]) ).

fof(f506,plain,
    ( c0_1(a1786)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f504,plain,
    ( spl0_69
  <=> c0_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1510,plain,
    ( ~ spl0_23
    | spl0_100
    | spl0_108
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1509,plain,
    ( $false
    | ~ spl0_23
    | spl0_100
    | spl0_108
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1504,f698]) ).

fof(f698,plain,
    ( ~ c2_1(a1760)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f696,plain,
    ( spl0_108
  <=> c2_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1504,plain,
    ( c2_1(a1760)
    | ~ spl0_23
    | spl0_100
    | ~ spl0_125 ),
    inference(resolution,[],[f1465,f653]) ).

fof(f653,plain,
    ( ~ c0_1(a1760)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f651,plain,
    ( spl0_100
  <=> c0_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1465,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f796,f293]) ).

fof(f1463,plain,
    ( ~ spl0_43
    | ~ spl0_157
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1445,f892,f246,f1460,f381]) ).

fof(f1445,plain,
    ( ~ c1_1(a1805)
    | ~ c3_1(a1805)
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(resolution,[],[f247,f894]) ).

fof(f1456,plain,
    ( ~ spl0_11
    | ~ spl0_27
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1455]) ).

fof(f1455,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_27
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1454,f818]) ).

fof(f818,plain,
    ( c1_1(a1823)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl0_128
  <=> c1_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1454,plain,
    ( ~ c1_1(a1823)
    | ~ spl0_11
    | ~ spl0_27
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f1444,f312]) ).

fof(f312,plain,
    ( c3_1(a1823)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl0_27
  <=> c3_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1444,plain,
    ( ~ c1_1(a1823)
    | ~ c3_1(a1823)
    | ~ spl0_11
    | ~ spl0_38 ),
    inference(resolution,[],[f247,f361]) ).

fof(f361,plain,
    ( c2_1(a1823)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl0_38
  <=> c2_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1442,plain,
    ( ~ spl0_14
    | ~ spl0_75
    | spl0_84
    | spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1441,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_75
    | spl0_84
    | spl0_144 ),
    inference(subsumption_resolution,[],[f1431,f914]) ).

fof(f1431,plain,
    ( c1_1(a1809)
    | ~ spl0_14
    | ~ spl0_75
    | spl0_84 ),
    inference(resolution,[],[f1405,f577]) ).

fof(f1405,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_14
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f257,f531]) ).

fof(f257,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1352,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | ~ spl0_41
    | ~ spl0_121
    | spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1351]) ).

fof(f1351,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_41
    | ~ spl0_121
    | spl0_145 ),
    inference(subsumption_resolution,[],[f1349,f919]) ).

fof(f919,plain,
    ( ~ c3_1(a1758)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f917,plain,
    ( spl0_145
  <=> c3_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1349,plain,
    ( c3_1(a1758)
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(resolution,[],[f1343,f769]) ).

fof(f769,plain,
    ( c2_1(a1758)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f767,plain,
    ( spl0_121
  <=> c2_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1343,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f374,f1068]) ).

fof(f1068,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f270,f273]) ).

fof(f273,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1338,plain,
    ( ~ spl0_57
    | ~ spl0_73
    | ~ spl0_85
    | spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1337,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_73
    | ~ spl0_85
    | spl0_131 ),
    inference(subsumption_resolution,[],[f1332,f838]) ).

fof(f1332,plain,
    ( c1_1(a1781)
    | ~ spl0_57
    | ~ spl0_73
    | ~ spl0_85 ),
    inference(resolution,[],[f1325,f448]) ).

fof(f1325,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_73
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f524,f581]) ).

fof(f1225,plain,
    ( ~ spl0_13
    | ~ spl0_46
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1224,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_46
    | ~ spl0_146
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1218,f966]) ).

fof(f1218,plain,
    ( ~ c1_1(a1756)
    | ~ spl0_13
    | ~ spl0_46
    | ~ spl0_146 ),
    inference(resolution,[],[f1187,f926]) ).

fof(f1187,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f396,f254]) ).

fof(f1207,plain,
    ( ~ spl0_23
    | ~ spl0_94
    | spl0_139
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_94
    | spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1197,f889]) ).

fof(f1197,plain,
    ( c0_1(a1762)
    | ~ spl0_23
    | ~ spl0_94
    | ~ spl0_141 ),
    inference(resolution,[],[f1161,f899]) ).

fof(f1161,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_23
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f624,f293]) ).

fof(f1203,plain,
    ( ~ spl0_23
    | ~ spl0_94
    | spl0_97
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_94
    | spl0_97
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1193,f637]) ).

fof(f1193,plain,
    ( c0_1(a1783)
    | ~ spl0_23
    | ~ spl0_94
    | ~ spl0_118 ),
    inference(resolution,[],[f1161,f755]) ).

fof(f1186,plain,
    ( ~ spl0_18
    | ~ spl0_28
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1185]) ).

fof(f1185,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1182,f764]) ).

fof(f764,plain,
    ( c1_1(a1758)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f762,plain,
    ( spl0_120
  <=> c1_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1182,plain,
    ( ~ c1_1(a1758)
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_121 ),
    inference(resolution,[],[f1105,f769]) ).

fof(f1105,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f316,f273]) ).

fof(f1125,plain,
    ( ~ spl0_13
    | ~ spl0_37
    | ~ spl0_120
    | spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_37
    | ~ spl0_120
    | spl0_145 ),
    inference(subsumption_resolution,[],[f1115,f764]) ).

fof(f1115,plain,
    ( ~ c1_1(a1758)
    | ~ spl0_13
    | ~ spl0_37
    | spl0_145 ),
    inference(resolution,[],[f1074,f919]) ).

fof(f1074,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f254,f356]) ).

fof(f1108,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | ~ spl0_50
    | ~ spl0_93 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1107,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_50
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f1106,f383]) ).

fof(f1106,plain,
    ( ~ c3_1(a1805)
    | ~ spl0_40
    | ~ spl0_50
    | ~ spl0_93 ),
    inference(resolution,[],[f415,f1056]) ).

fof(f1056,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f371,f621]) ).

fof(f371,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_40
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1094,plain,
    ( ~ spl0_11
    | ~ spl0_90
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1093]) ).

fof(f1093,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_90
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1092,f764]) ).

fof(f1092,plain,
    ( ~ c1_1(a1758)
    | ~ spl0_11
    | ~ spl0_90
    | ~ spl0_121 ),
    inference(resolution,[],[f1067,f769]) ).

fof(f1067,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f606,f247]) ).

fof(f1046,plain,
    ( ~ spl0_37
    | ~ spl0_78
    | ~ spl0_88
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1045,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_78
    | ~ spl0_88
    | spl0_91 ),
    inference(subsumption_resolution,[],[f1037,f611]) ).

fof(f1037,plain,
    ( c0_1(a1771)
    | ~ spl0_37
    | ~ spl0_78
    | ~ spl0_88 ),
    inference(resolution,[],[f1026,f597]) ).

fof(f1026,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_37
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f547,f356]) ).

fof(f1044,plain,
    ( ~ spl0_37
    | spl0_56
    | ~ spl0_72
    | ~ spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1043]) ).

fof(f1043,plain,
    ( $false
    | ~ spl0_37
    | spl0_56
    | ~ spl0_72
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f1039,f443]) ).

fof(f1039,plain,
    ( c0_1(a1755)
    | ~ spl0_37
    | ~ spl0_72
    | ~ spl0_78 ),
    inference(resolution,[],[f1026,f520]) ).

fof(f1024,plain,
    ( ~ spl0_41
    | spl0_91
    | ~ spl0_94
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1023,plain,
    ( $false
    | ~ spl0_41
    | spl0_91
    | ~ spl0_94
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f1020,f611]) ).

fof(f1020,plain,
    ( c0_1(a1771)
    | ~ spl0_41
    | ~ spl0_94
    | ~ spl0_117 ),
    inference(resolution,[],[f995,f750]) ).

fof(f995,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_41
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f624,f374]) ).

fof(f989,plain,
    ( ~ spl0_80
    | spl0_156 ),
    inference(avatar_split_clause,[],[f72,f986,f555]) ).

fof(f555,plain,
    ( spl0_80
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f72,axiom,
    ( c0_1(a1765)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f984,plain,
    ( ~ spl0_3
    | spl0_87
    | spl0_11
    | spl0_53 ),
    inference(avatar_split_clause,[],[f153,f427,f246,f588,f211]) ).

fof(f211,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f588,plain,
    ( spl0_87
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f427,plain,
    ( spl0_53
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp22
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | hskp16
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f978,plain,
    ( ~ spl0_35
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f89,f975,f346]) ).

fof(f346,plain,
    ( spl0_35
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f89,axiom,
    ( ~ c2_1(a1827)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f967,plain,
    ( ~ spl0_29
    | spl0_152 ),
    inference(avatar_split_clause,[],[f48,f964,f318]) ).

fof(f318,plain,
    ( spl0_29
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f48,axiom,
    ( c1_1(a1756)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f962,plain,
    ( spl0_35
    | ~ spl0_3
    | spl0_90
    | spl0_9 ),
    inference(avatar_split_clause,[],[f150,f237,f605,f211,f346]) ).

fof(f237,plain,
    ( spl0_9
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp3
      | c3_1(X0)
      | ~ ndr1_0
      | hskp25
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f961,plain,
    ( ~ spl0_2
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f112,f958,f206]) ).

fof(f206,plain,
    ( spl0_2
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f112,axiom,
    ( ~ c2_1(a1768)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f955,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f200,f253,f246,f272,f211]) ).

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

fof(f953,plain,
    ( spl0_10
    | spl0_90
    | spl0_87
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f149,f211,f588,f605,f242]) ).

fof(f242,plain,
    ( spl0_10
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | ~ c1_1(X0)
      | hskp24
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f952,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_24
    | spl0_12 ),
    inference(avatar_split_clause,[],[f162,f249,f296,f292,f211]) ).

fof(f296,plain,
    ( spl0_24
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | hskp10
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f951,plain,
    ( ~ spl0_150
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f107,f285,f948]) ).

fof(f285,plain,
    ( spl0_21
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f107,axiom,
    ( ~ hskp14
    | ~ c0_1(a1777) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f944,plain,
    ( ~ spl0_80
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f117,f941,f555]) ).

fof(f117,axiom,
    ( ~ c1_1(a1765)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f939,plain,
    ( spl0_28
    | spl0_36
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f211,f351,f315]) ).

fof(f351,plain,
    ( spl0_36
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f938,plain,
    ( ~ spl0_4
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f105,f935,f215]) ).

fof(f215,plain,
    ( spl0_4
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f105,axiom,
    ( ~ c2_1(a1779)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f932,plain,
    ( spl0_147
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f49,f318,f929]) ).

fof(f49,axiom,
    ( ~ hskp27
    | c3_1(a1756) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f927,plain,
    ( spl0_146
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f47,f318,f924]) ).

fof(f47,axiom,
    ( ~ hskp27
    | c0_1(a1756) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f922,plain,
    ( spl0_36
    | ~ spl0_3
    | spl0_96
    | spl0_122 ),
    inference(avatar_split_clause,[],[f147,f775,f631,f211,f351]) ).

fof(f631,plain,
    ( spl0_96
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp19
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f921,plain,
    ( spl0_17
    | spl0_85
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f192,f315,f211,f580,f269]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X2)
      | ~ c2_1(X0)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f920,plain,
    ( ~ spl0_9
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f125,f917,f237]) ).

fof(f125,axiom,
    ( ~ c3_1(a1758)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f915,plain,
    ( ~ spl0_144
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f90,f242,f912]) ).

fof(f90,axiom,
    ( ~ hskp24
    | ~ c1_1(a1809) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f910,plain,
    ( ~ spl0_143
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f98,f408,f907]) ).

fof(f408,plain,
    ( spl0_49
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f98,axiom,
    ( ~ hskp20
    | ~ c3_1(a1786) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f905,plain,
    ( ~ spl0_32
    | spl0_142 ),
    inference(avatar_split_clause,[],[f78,f902,f334]) ).

fof(f334,plain,
    ( spl0_32
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f78,axiom,
    ( c1_1(a1759)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f900,plain,
    ( ~ spl0_33
    | spl0_141 ),
    inference(avatar_split_clause,[],[f77,f897,f338]) ).

fof(f338,plain,
    ( spl0_33
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f77,axiom,
    ( c3_1(a1762)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f895,plain,
    ( ~ spl0_42
    | spl0_140 ),
    inference(avatar_split_clause,[],[f42,f892,f377]) ).

fof(f377,plain,
    ( spl0_42
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f42,axiom,
    ( c2_1(a1805)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f890,plain,
    ( ~ spl0_33
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f119,f887,f338]) ).

fof(f119,axiom,
    ( ~ c0_1(a1762)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f885,plain,
    ( spl0_138
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f64,f285,f882]) ).

fof(f64,axiom,
    ( ~ hskp14
    | c2_1(a1777) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f868,plain,
    ( ~ spl0_3
    | spl0_78
    | spl0_122
    | spl0_17 ),
    inference(avatar_split_clause,[],[f196,f269,f775,f546,f211]) ).

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

fof(f862,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_73
    | spl0_110 ),
    inference(avatar_split_clause,[],[f165,f705,f523,f206,f211]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c0_1(X0)
      | hskp11
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f861,plain,
    ( ~ spl0_134
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f97,f672,f858]) ).

fof(f672,plain,
    ( spl0_104
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f97,axiom,
    ( ~ hskp21
    | ~ c3_1(a1788) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f853,plain,
    ( ~ spl0_133
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f108,f285,f850]) ).

fof(f108,axiom,
    ( ~ hskp14
    | ~ c3_1(a1777) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f847,plain,
    ( spl0_4
    | spl0_24
    | spl0_53 ),
    inference(avatar_split_clause,[],[f37,f427,f296,f215]) ).

fof(f37,axiom,
    ( hskp22
    | hskp10
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f846,plain,
    ( ~ spl0_132
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f93,f398,f843]) ).

fof(f398,plain,
    ( spl0_47
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f93,axiom,
    ( ~ hskp23
    | ~ c1_1(a1807) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f841,plain,
    ( ~ spl0_3
    | spl0_29
    | spl0_95
    | spl0_23 ),
    inference(avatar_split_clause,[],[f161,f292,f627,f318,f211]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c2_1(X0)
      | hskp27
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f839,plain,
    ( ~ spl0_7
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f103,f836,f229]) ).

fof(f229,plain,
    ( spl0_7
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f103,axiom,
    ( ~ c1_1(a1781)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f834,plain,
    ( ~ spl0_3
    | spl0_93
    | spl0_95
    | spl0_125 ),
    inference(avatar_split_clause,[],[f191,f795,f627,f620,f211]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f833,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_13
    | spl0_78 ),
    inference(avatar_split_clause,[],[f180,f546,f253,f237,f211]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | hskp3
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f831,plain,
    ( spl0_63
    | spl0_78
    | spl0_55
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f143,f211,f437,f546,f476]) ).

fof(f476,plain,
    ( spl0_63
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f437,plain,
    ( spl0_55
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | c0_1(X0)
      | ~ c3_1(X0)
      | hskp28
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f829,plain,
    ( spl0_130
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f53,f672,f826]) ).

fof(f53,axiom,
    ( ~ hskp21
    | c0_1(a1788) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f824,plain,
    ( ~ spl0_87
    | spl0_129 ),
    inference(avatar_split_clause,[],[f61,f821,f588]) ).

fof(f61,axiom,
    ( c1_1(a1780)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f819,plain,
    ( ~ spl0_26
    | spl0_128 ),
    inference(avatar_split_clause,[],[f38,f816,f306]) ).

fof(f306,plain,
    ( spl0_26
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f38,axiom,
    ( c1_1(a1823)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f814,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_90
    | spl0_26 ),
    inference(avatar_split_clause,[],[f148,f306,f605,f377,f211]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp30
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | hskp29
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f812,plain,
    ( spl0_63
    | spl0_32
    | spl0_55 ),
    inference(avatar_split_clause,[],[f32,f437,f334,f476]) ).

fof(f32,axiom,
    ( hskp1
    | hskp4
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f809,plain,
    ( ~ spl0_127
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f92,f398,f806]) ).

fof(f92,axiom,
    ( ~ hskp23
    | ~ c0_1(a1807) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f799,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_95
    | spl0_34 ),
    inference(avatar_split_clause,[],[f158,f342,f627,f391,f211]) ).

fof(f391,plain,
    ( spl0_45
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | hskp5
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f798,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_75 ),
    inference(avatar_split_clause,[],[f131,f530,f211,f206]) ).

fof(f131,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f783,plain,
    ( spl0_9
    | spl0_23
    | ~ spl0_3
    | spl0_46 ),
    inference(avatar_split_clause,[],[f178,f395,f211,f292,f237]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | hskp3
      | ~ c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f780,plain,
    ( spl0_16
    | spl0_29
    | ~ spl0_3
    | spl0_110 ),
    inference(avatar_split_clause,[],[f136,f705,f211,f318,f264]) ).

fof(f264,plain,
    ( spl0_16
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f136,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp27
      | hskp12
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f779,plain,
    ( spl0_3
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f17,f285,f211]) ).

fof(f17,axiom,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

fof(f773,plain,
    ( ~ spl0_3
    | spl0_80
    | spl0_11
    | spl0_85 ),
    inference(avatar_split_clause,[],[f177,f580,f246,f555,f211]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp8
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f772,plain,
    ( spl0_49
    | ~ spl0_3
    | spl0_94
    | spl0_80 ),
    inference(avatar_split_clause,[],[f145,f555,f623,f211,f408]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp8
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp20
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f770,plain,
    ( spl0_121
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f80,f237,f767]) ).

fof(f80,axiom,
    ( ~ hskp3
    | c2_1(a1758) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f765,plain,
    ( spl0_120
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f79,f237,f762]) ).

fof(f79,axiom,
    ( ~ hskp3
    | c1_1(a1758) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f756,plain,
    ( spl0_118
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f58,f631,f753]) ).

fof(f58,axiom,
    ( ~ hskp19
    | c3_1(a1783) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f751,plain,
    ( spl0_117
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f66,f351,f748]) ).

fof(f66,axiom,
    ( ~ hskp13
    | c2_1(a1771) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f746,plain,
    ( spl0_53
    | spl0_29
    | ~ spl0_3
    | spl0_94 ),
    inference(avatar_split_clause,[],[f144,f623,f211,f318,f427]) ).

fof(f144,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp27
      | ~ c3_1(X0)
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f745,plain,
    ( spl0_116
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f68,f206,f742]) ).

fof(f68,axiom,
    ( ~ hskp11
    | c0_1(a1768) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f734,plain,
    ( ~ spl0_114
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f101,f220,f731]) ).

fof(f220,plain,
    ( spl0_5
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f101,axiom,
    ( ~ hskp18
    | ~ c2_1(a1782) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f729,plain,
    ( ~ spl0_113
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f96,f427,f726]) ).

fof(f96,axiom,
    ( ~ hskp22
    | ~ c2_1(a1799) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f723,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_12
    | spl0_22 ),
    inference(avatar_split_clause,[],[f172,f289,f249,f301,f211]) ).

fof(f301,plain,
    ( spl0_25
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | hskp2
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f721,plain,
    ( ~ spl0_16
    | spl0_112 ),
    inference(avatar_split_clause,[],[f67,f718,f264]) ).

fof(f67,axiom,
    ( c1_1(a1770)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f714,plain,
    ( ~ spl0_35
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f87,f711,f346]) ).

fof(f87,axiom,
    ( ~ c0_1(a1827)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f709,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_75
    | spl0_25 ),
    inference(avatar_split_clause,[],[f156,f301,f530,f292,f211]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f708,plain,
    ( spl0_96
    | spl0_33
    | ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f138,f355,f211,f338,f631]) ).

fof(f138,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp6
      | hskp19
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f699,plain,
    ( ~ spl0_45
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f121,f696,f391]) ).

fof(f121,axiom,
    ( ~ c2_1(a1760)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f694,plain,
    ( spl0_107
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f63,f215,f691]) ).

fof(f63,axiom,
    ( ~ hskp15
    | c0_1(a1779) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f689,plain,
    ( spl0_106
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f52,f427,f686]) ).

fof(f52,axiom,
    ( ~ hskp22
    | c3_1(a1799) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f678,plain,
    ( spl0_87
    | ~ spl0_3
    | spl0_4
    | spl0_23 ),
    inference(avatar_split_clause,[],[f137,f292,f215,f211,f588]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | c2_1(X0)
      | hskp15
      | ~ ndr1_0
      | hskp16
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f675,plain,
    ( spl0_104
    | spl0_28
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f179,f269,f211,f315,f672]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | hskp21
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f670,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_3
    | spl0_93 ),
    inference(avatar_split_clause,[],[f184,f620,f211,f233,f220]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | hskp18
      | c2_1(X1)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f664,plain,
    ( ~ spl0_96
    | spl0_102 ),
    inference(avatar_split_clause,[],[f57,f661,f631]) ).

fof(f57,axiom,
    ( c1_1(a1783)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f654,plain,
    ( ~ spl0_45
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f120,f651,f391]) ).

fof(f120,axiom,
    ( ~ c0_1(a1760)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f648,plain,
    ( ~ spl0_87
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f104,f645,f588]) ).

fof(f104,axiom,
    ( ~ c2_1(a1780)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f638,plain,
    ( ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f99,f635,f631]) ).

fof(f99,axiom,
    ( ~ c0_1(a1783)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f629,plain,
    ( ~ spl0_3
    | spl0_93
    | spl0_94
    | spl0_95 ),
    inference(avatar_split_clause,[],[f197,f627,f623,f620,f211]) ).

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

fof(f625,plain,
    ( spl0_87
    | spl0_93
    | ~ spl0_3
    | spl0_94 ),
    inference(avatar_split_clause,[],[f187,f623,f211,f620,f588]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | hskp16
      | c0_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f618,plain,
    ( ~ spl0_24
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f113,f615,f296]) ).

fof(f113,axiom,
    ( ~ c0_1(a1767)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f612,plain,
    ( ~ spl0_91
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f109,f351,f609]) ).

fof(f109,axiom,
    ( ~ hskp13
    | ~ c0_1(a1771) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f607,plain,
    ( spl0_53
    | ~ spl0_3
    | spl0_14
    | spl0_90 ),
    inference(avatar_split_clause,[],[f175,f605,f256,f211,f427]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f598,plain,
    ( ~ spl0_36
    | spl0_88 ),
    inference(avatar_split_clause,[],[f65,f595,f351]) ).

fof(f65,axiom,
    ( c1_1(a1771)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f592,plain,
    ( spl0_3
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f23,f555,f211]) ).

fof(f23,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

fof(f591,plain,
    ( spl0_86
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f62,f588,f584]) ).

fof(f62,axiom,
    ( ~ hskp16
    | c3_1(a1780) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f578,plain,
    ( ~ spl0_10
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f91,f575,f242]) ).

fof(f91,axiom,
    ( ~ c3_1(a1809)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f573,plain,
    ( spl0_25
    | spl0_21
    | spl0_80 ),
    inference(avatar_split_clause,[],[f33,f555,f285,f301]) ).

fof(f33,axiom,
    ( hskp8
    | hskp14
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f567,plain,
    ( spl0_82
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f45,f476,f564]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c1_1(a1795) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f562,plain,
    ( ~ spl0_80
    | spl0_81 ),
    inference(avatar_split_clause,[],[f73,f559,f555]) ).

fof(f73,axiom,
    ( c2_1(a1765)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f553,plain,
    ( ~ spl0_49
    | spl0_79 ),
    inference(avatar_split_clause,[],[f56,f550,f408]) ).

fof(f56,axiom,
    ( c1_1(a1786)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f548,plain,
    ( ~ spl0_3
    | spl0_78
    | spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f186,f246,f229,f546,f211]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | hskp17
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f544,plain,
    ( spl0_12
    | spl0_47
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f171,f253,f211,f398,f249]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp23
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f543,plain,
    ( ~ spl0_16
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f111,f540,f264]) ).

fof(f111,axiom,
    ( ~ c3_1(a1770)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f538,plain,
    ( ~ spl0_25
    | spl0_76 ),
    inference(avatar_split_clause,[],[f82,f535,f301]) ).

fof(f82,axiom,
    ( c1_1(a1757)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f533,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_24
    | spl0_40 ),
    inference(avatar_split_clause,[],[f166,f370,f296,f292,f211]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | hskp10
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f528,plain,
    ( ~ spl0_3
    | spl0_41
    | spl0_73
    | spl0_74 ),
    inference(avatar_split_clause,[],[f193,f526,f523,f373,f211]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f521,plain,
    ( ~ spl0_55
    | spl0_72 ),
    inference(avatar_split_clause,[],[f83,f518,f437]) ).

fof(f83,axiom,
    ( c1_1(a1755)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f516,plain,
    ( ~ spl0_71
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f114,f296,f513]) ).

fof(f114,axiom,
    ( ~ hskp10
    | ~ c1_1(a1767) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f507,plain,
    ( spl0_69
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f55,f408,f504]) ).

fof(f55,axiom,
    ( ~ hskp20
    | c0_1(a1786) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f502,plain,
    ( spl0_68
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f51,f242,f499]) ).

fof(f51,axiom,
    ( ~ hskp24
    | c0_1(a1809) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f483,plain,
    ( ~ spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f46,f480,f476]) ).

fof(f46,axiom,
    ( c2_1(a1795)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f473,plain,
    ( ~ spl0_62
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f95,f427,f470]) ).

fof(f95,axiom,
    ( ~ hskp22
    | ~ c0_1(a1799) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f449,plain,
    ( spl0_57
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f60,f229,f446]) ).

fof(f60,axiom,
    ( ~ hskp17
    | c3_1(a1781) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f444,plain,
    ( ~ spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f127,f441,f437]) ).

fof(f127,axiom,
    ( ~ c0_1(a1755)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f435,plain,
    ( ~ spl0_24
    | spl0_54 ),
    inference(avatar_split_clause,[],[f70,f432,f296]) ).

fof(f70,axiom,
    ( c3_1(a1767)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f416,plain,
    ( spl0_50
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f41,f377,f413]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c0_1(a1805) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f411,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_41
    | spl0_49 ),
    inference(avatar_split_clause,[],[f139,f408,f373,f338,f211]) ).

fof(f139,axiom,
    ! [X0] :
      ( hskp20
      | ~ c2_1(X0)
      | hskp6
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f406,plain,
    ( ~ spl0_48
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f126,f301,f403]) ).

fof(f126,axiom,
    ( ~ hskp2
    | ~ c2_1(a1757) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f384,plain,
    ( ~ spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f43,f381,f377]) ).

fof(f43,axiom,
    ( c3_1(a1805)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f367,plain,
    ( ~ spl0_39
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f102,f220,f364]) ).

fof(f102,axiom,
    ( ~ hskp18
    | ~ c3_1(a1782) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f362,plain,
    ( ~ spl0_26
    | spl0_38 ),
    inference(avatar_split_clause,[],[f39,f359,f306]) ).

fof(f39,axiom,
    ( c2_1(a1823)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f357,plain,
    ( spl0_36
    | ~ spl0_3
    | spl0_37
    | spl0_23 ),
    inference(avatar_split_clause,[],[f160,f292,f355,f211,f351]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | hskp13
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f332,plain,
    ( spl0_31
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f81,f301,f329]) ).

fof(f81,axiom,
    ( ~ hskp2
    | c0_1(a1757) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f327,plain,
    ( spl0_30
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f59,f229,f324]) ).

fof(f59,axiom,
    ( ~ hskp17
    | c2_1(a1781) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f313,plain,
    ( ~ spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f40,f310,f306]) ).

fof(f40,axiom,
    ( c3_1(a1823)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f304,plain,
    ( ~ spl0_25
    | spl0_3 ),
    inference(avatar_split_clause,[],[f29,f211,f301]) ).

fof(f29,axiom,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

fof(f294,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f167,f292,f289,f285,f211]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | hskp14
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f274,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_13
    | spl0_18 ),
    inference(avatar_split_clause,[],[f199,f272,f253,f269,f211]) ).

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

fof(f267,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f110,f264,f260]) ).

fof(f110,axiom,
    ( ~ hskp12
    | ~ c0_1(a1770) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f227,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f100,f224,f220]) ).

fof(f100,axiom,
    ( ~ c1_1(a1782)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN482-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:56:11 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.57  % (29794)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (29785)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (29802)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.57  % (29786)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58  % (29786)Instruction limit reached!
% 0.20/0.58  % (29786)------------------------------
% 0.20/0.58  % (29786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (29786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (29786)Termination reason: Unknown
% 0.20/0.58  % (29786)Termination phase: Blocked clause elimination
% 0.20/0.58  
% 0.20/0.58  % (29786)Memory used [KB]: 1151
% 0.20/0.58  % (29786)Time elapsed: 0.004 s
% 0.20/0.58  % (29786)Instructions burned: 2 (million)
% 0.20/0.58  % (29786)------------------------------
% 0.20/0.58  % (29786)------------------------------
% 0.20/0.59  % (29793)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.59  % (29801)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.60  % (29785)Instruction limit reached!
% 0.20/0.60  % (29785)------------------------------
% 0.20/0.60  % (29785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (29785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (29785)Termination reason: Unknown
% 0.20/0.60  % (29785)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (29785)Memory used [KB]: 6012
% 0.20/0.60  % (29785)Time elapsed: 0.158 s
% 0.20/0.60  % (29785)Instructions burned: 8 (million)
% 0.20/0.60  % (29785)------------------------------
% 0.20/0.60  % (29785)------------------------------
% 0.20/0.61  % (29784)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.62  % (29781)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.62  % (29783)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.93/0.62  % (29782)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.63  % (29780)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.93/0.63  % (29799)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.93/0.63  % (29778)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.93/0.63  % (29797)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.63  % (29798)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.10/0.63  % (29789)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.10/0.63  % (29807)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.10/0.63  Detected maximum model sizes of [31]
% 2.10/0.63  TRYING [1]
% 2.10/0.63  TRYING [2]
% 2.10/0.63  % (29788)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.10/0.63  % (29806)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.10/0.64  % (29795)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.10/0.64  TRYING [3]
% 2.10/0.64  % (29805)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.10/0.64  % (29791)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.10/0.64  % (29787)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.10/0.64  % (29790)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.10/0.64  % (29800)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.10/0.64  % (29804)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.10/0.64  % (29803)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.10/0.64  % (29796)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.10/0.65  % (29792)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.10/0.65  % (29779)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.22/0.66  TRYING [4]
% 2.22/0.66  Detected maximum model sizes of [31]
% 2.22/0.67  Detected maximum model sizes of [31]
% 2.22/0.67  TRYING [1]
% 2.22/0.67  TRYING [2]
% 2.22/0.67  TRYING [3]
% 2.22/0.67  TRYING [1]
% 2.22/0.67  TRYING [4]
% 2.22/0.67  TRYING [2]
% 2.22/0.68  TRYING [3]
% 2.22/0.68  TRYING [4]
% 2.22/0.69  % (29801)First to succeed.
% 2.22/0.69  % (29793)Instruction limit reached!
% 2.22/0.69  % (29793)------------------------------
% 2.22/0.69  % (29793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.69  % (29793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.69  % (29793)Termination reason: Unknown
% 2.22/0.69  % (29793)Termination phase: Saturation
% 2.22/0.69  
% 2.22/0.69  % (29793)Memory used [KB]: 1279
% 2.22/0.69  % (29793)Time elapsed: 0.234 s
% 2.22/0.69  % (29793)Instructions burned: 77 (million)
% 2.22/0.69  % (29793)------------------------------
% 2.22/0.69  % (29793)------------------------------
% 2.22/0.70  % (29801)Refutation found. Thanks to Tanya!
% 2.22/0.70  % SZS status Unsatisfiable for theBenchmark
% 2.22/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.70  % (29801)------------------------------
% 2.22/0.70  % (29801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.70  % (29801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.70  % (29801)Termination reason: Refutation
% 2.22/0.70  
% 2.22/0.70  % (29801)Memory used [KB]: 7291
% 2.22/0.70  % (29801)Time elapsed: 0.247 s
% 2.22/0.70  % (29801)Instructions burned: 69 (million)
% 2.22/0.70  % (29801)------------------------------
% 2.22/0.70  % (29801)------------------------------
% 2.22/0.70  % (29777)Success in time 0.337 s
%------------------------------------------------------------------------------