TSTP Solution File: SYN465-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN465-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:39 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  302
% Syntax   : Number of formulae    :  822 (   1 unt;   0 def)
%            Number of atoms       : 2676 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3268 (1414   ~;1694   |;   0   &)
%                                         ( 160 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  196 ( 195 usr; 192 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  152 ( 152   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3276,plain,
    $false,
    inference(avatar_sat_refutation,[],[f235,f240,f245,f250,f255,f260,f265,f275,f280,f290,f295,f350,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f435,f440,f445,f450,f455,f460,f465,f470,f475,f480,f505,f520,f525,f530,f535,f540,f550,f555,f565,f570,f575,f580,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f675,f680,f685,f690,f695,f700,f705,f710,f715,f720,f725,f740,f745,f750,f755,f760,f765,f770,f775,f780,f795,f800,f805,f810,f815,f820,f825,f830,f835,f840,f841,f844,f845,f846,f850,f854,f858,f862,f870,f878,f882,f886,f887,f891,f895,f899,f903,f905,f914,f919,f921,f930,f934,f935,f937,f941,f946,f947,f951,f958,f959,f960,f961,f965,f973,f974,f979,f980,f981,f982,f983,f984,f985,f991,f992,f993,f994,f995,f999,f1000,f1001,f1008,f1033,f1042,f1051,f1057,f1068,f1082,f1111,f1157,f1178,f1181,f1183,f1200,f1206,f1211,f1262,f1283,f1302,f1430,f1460,f1552,f1612,f1641,f1665,f1669,f1688,f1903,f1918,f1919,f1925,f1928,f2005,f2011,f2046,f2068,f2167,f2172,f2185,f2198,f2279,f2300,f2302,f2357,f2359,f2362,f2422,f2426,f2427,f2500,f2507,f2539,f2651,f2662,f2686,f2695,f2714,f2715,f2741,f2804,f2988,f2991,f3012,f3040,f3055,f3091,f3093,f3115,f3148,f3174,f3201,f3229,f3234,f3251,f3256,f3258,f3275]) ).

fof(f3275,plain,
    ( spl0_179
    | ~ spl0_75
    | ~ spl0_77
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3274,f976,f577,f567,f2777]) ).

fof(f2777,plain,
    ( spl0_179
  <=> c1_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f567,plain,
    ( spl0_75
  <=> c2_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f577,plain,
    ( spl0_77
  <=> c0_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f976,plain,
    ( spl0_158
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3274,plain,
    ( c1_1(a32)
    | ~ spl0_75
    | ~ spl0_77
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3265,f569]) ).

fof(f569,plain,
    ( c2_1(a32)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f3265,plain,
    ( c1_1(a32)
    | ~ c2_1(a32)
    | ~ spl0_77
    | ~ spl0_158 ),
    inference(resolution,[],[f977,f579]) ).

fof(f579,plain,
    ( c0_1(a32)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f977,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f3258,plain,
    ( spl0_171
    | spl0_88
    | spl0_93
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f3257,f971,f657,f632,f1786]) ).

fof(f1786,plain,
    ( spl0_171
  <=> c3_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f632,plain,
    ( spl0_88
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f657,plain,
    ( spl0_93
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f971,plain,
    ( spl0_157
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f3257,plain,
    ( c3_1(a9)
    | spl0_88
    | spl0_93
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3245,f634]) ).

fof(f634,plain,
    ( ~ c1_1(a9)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f3245,plain,
    ( c1_1(a9)
    | c3_1(a9)
    | spl0_93
    | ~ spl0_157 ),
    inference(resolution,[],[f972,f659]) ).

fof(f659,plain,
    ( ~ c2_1(a9)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f972,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f3256,plain,
    ( spl0_85
    | spl0_90
    | spl0_95
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3255]) ).

fof(f3255,plain,
    ( $false
    | spl0_85
    | spl0_90
    | spl0_95
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3254,f644]) ).

fof(f644,plain,
    ( ~ c3_1(a15)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl0_90
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3254,plain,
    ( c3_1(a15)
    | spl0_85
    | spl0_95
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3244,f619]) ).

fof(f619,plain,
    ( ~ c1_1(a15)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl0_85
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f3244,plain,
    ( c1_1(a15)
    | c3_1(a15)
    | spl0_95
    | ~ spl0_157 ),
    inference(resolution,[],[f972,f669]) ).

fof(f669,plain,
    ( ~ c2_1(a15)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl0_95
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f3251,plain,
    ( spl0_86
    | spl0_94
    | ~ spl0_157
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3250]) ).

fof(f3250,plain,
    ( $false
    | spl0_86
    | spl0_94
    | ~ spl0_157
    | spl0_162 ),
    inference(subsumption_resolution,[],[f3249,f1214]) ).

fof(f1214,plain,
    ( ~ c3_1(a1)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f1213,plain,
    ( spl0_162
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3249,plain,
    ( c3_1(a1)
    | spl0_86
    | spl0_94
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3242,f624]) ).

fof(f624,plain,
    ( ~ c1_1(a1)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f622,plain,
    ( spl0_86
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3242,plain,
    ( c1_1(a1)
    | c3_1(a1)
    | spl0_94
    | ~ spl0_157 ),
    inference(resolution,[],[f972,f664]) ).

fof(f664,plain,
    ( ~ c2_1(a1)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_94
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f3234,plain,
    ( ~ spl0_179
    | spl0_67
    | ~ spl0_77
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3233,f963,f577,f527,f2777]) ).

fof(f527,plain,
    ( spl0_67
  <=> c3_1(a32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f963,plain,
    ( spl0_155
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3233,plain,
    ( ~ c1_1(a32)
    | spl0_67
    | ~ spl0_77
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3209,f579]) ).

fof(f3209,plain,
    ( ~ c1_1(a32)
    | ~ c0_1(a32)
    | spl0_67
    | ~ spl0_155 ),
    inference(resolution,[],[f964,f529]) ).

fof(f529,plain,
    ( ~ c3_1(a32)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f964,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f3229,plain,
    ( ~ spl0_175
    | spl0_68
    | ~ spl0_72
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3228,f963,f552,f532,f2078]) ).

fof(f2078,plain,
    ( spl0_175
  <=> c0_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f532,plain,
    ( spl0_68
  <=> c3_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f552,plain,
    ( spl0_72
  <=> c1_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3228,plain,
    ( ~ c0_1(a29)
    | spl0_68
    | ~ spl0_72
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3210,f554]) ).

fof(f554,plain,
    ( c1_1(a29)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f3210,plain,
    ( ~ c1_1(a29)
    | ~ c0_1(a29)
    | spl0_68
    | ~ spl0_155 ),
    inference(resolution,[],[f964,f534]) ).

fof(f534,plain,
    ( ~ c3_1(a29)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f3201,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_141
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3200]) ).

fof(f3200,plain,
    ( $false
    | spl0_127
    | ~ spl0_128
    | ~ spl0_141
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3188,f834]) ).

fof(f834,plain,
    ( c3_1(a6)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_128
  <=> c3_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3188,plain,
    ( ~ c3_1(a6)
    | spl0_127
    | ~ spl0_141
    | ~ spl0_153 ),
    inference(resolution,[],[f3181,f829]) ).

fof(f829,plain,
    ( ~ c2_1(a6)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl0_127
  <=> c2_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3181,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_141
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f954,f894]) ).

fof(f894,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f954,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f953,plain,
    ( spl0_153
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3174,plain,
    ( spl0_35
    | ~ spl0_41
    | ~ spl0_51
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3173]) ).

fof(f3173,plain,
    ( $false
    | spl0_35
    | ~ spl0_41
    | ~ spl0_51
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3172,f399]) ).

fof(f399,plain,
    ( c1_1(a33)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl0_41
  <=> c1_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f3172,plain,
    ( ~ c1_1(a33)
    | spl0_35
    | ~ spl0_51
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3158,f369]) ).

fof(f369,plain,
    ( ~ c3_1(a33)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl0_35
  <=> c3_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3158,plain,
    ( c3_1(a33)
    | ~ c1_1(a33)
    | ~ spl0_51
    | ~ spl0_154 ),
    inference(resolution,[],[f957,f449]) ).

fof(f449,plain,
    ( c2_1(a33)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl0_51
  <=> c2_1(a33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f957,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_154
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3148,plain,
    ( spl0_87
    | spl0_92
    | spl0_98
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3141,f943,f682,f652,f627]) ).

fof(f627,plain,
    ( spl0_87
  <=> c1_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f652,plain,
    ( spl0_92
  <=> c3_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f682,plain,
    ( spl0_98
  <=> c0_1(a57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f943,plain,
    ( spl0_151
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3141,plain,
    ( c1_1(a57)
    | spl0_92
    | spl0_98
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3129,f684]) ).

fof(f684,plain,
    ( ~ c0_1(a57)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f3129,plain,
    ( c0_1(a57)
    | c1_1(a57)
    | spl0_92
    | ~ spl0_151 ),
    inference(resolution,[],[f944,f654]) ).

fof(f654,plain,
    ( ~ c3_1(a57)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f944,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f3115,plain,
    ( spl0_170
    | spl0_85
    | spl0_95
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3114,f928,f667,f617,f1766]) ).

fof(f1766,plain,
    ( spl0_170
  <=> c0_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f928,plain,
    ( spl0_148
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3114,plain,
    ( c0_1(a15)
    | spl0_85
    | spl0_95
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3103,f619]) ).

fof(f3103,plain,
    ( c0_1(a15)
    | c1_1(a15)
    | spl0_95
    | ~ spl0_148 ),
    inference(resolution,[],[f929,f669]) ).

fof(f929,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f3093,plain,
    ( spl0_165
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f3092,f917,f837,f832,f1280]) ).

fof(f1280,plain,
    ( spl0_165
  <=> c1_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f837,plain,
    ( spl0_129
  <=> c0_1(a6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f917,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3092,plain,
    ( c1_1(a6)
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3083,f839]) ).

fof(f839,plain,
    ( c0_1(a6)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f3083,plain,
    ( c1_1(a6)
    | ~ c0_1(a6)
    | ~ spl0_128
    | ~ spl0_146 ),
    inference(resolution,[],[f918,f834]) ).

fof(f918,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f3091,plain,
    ( spl0_86
    | ~ spl0_104
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3090]) ).

fof(f3090,plain,
    ( $false
    | spl0_86
    | ~ spl0_104
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3089,f714]) ).

fof(f714,plain,
    ( c0_1(a1)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f712,plain,
    ( spl0_104
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3089,plain,
    ( ~ c0_1(a1)
    | spl0_86
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f3084,f624]) ).

fof(f3084,plain,
    ( c1_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(resolution,[],[f918,f1215]) ).

fof(f1215,plain,
    ( c3_1(a1)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f3055,plain,
    ( spl0_169
    | ~ spl0_42
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3054,f868,f437,f402,f1585]) ).

fof(f1585,plain,
    ( spl0_169
  <=> c0_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f402,plain,
    ( spl0_42
  <=> c1_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f437,plain,
    ( spl0_49
  <=> c3_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f868,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3054,plain,
    ( c0_1(a8)
    | ~ spl0_42
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3043,f404]) ).

fof(f404,plain,
    ( c1_1(a8)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f3043,plain,
    ( c0_1(a8)
    | ~ c1_1(a8)
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(resolution,[],[f869,f439]) ).

fof(f439,plain,
    ( c3_1(a8)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f3040,plain,
    ( spl0_33
    | ~ spl0_55
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3039]) ).

fof(f3039,plain,
    ( $false
    | spl0_33
    | ~ spl0_55
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3029,f469]) ).

fof(f469,plain,
    ( c0_1(a21)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f467,plain,
    ( spl0_55
  <=> c0_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3029,plain,
    ( ~ c0_1(a21)
    | spl0_33
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(resolution,[],[f3013,f359]) ).

fof(f359,plain,
    ( ~ c3_1(a21)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl0_33
  <=> c3_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f3013,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_150
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f964,f940]) ).

fof(f940,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f3012,plain,
    ( ~ spl0_163
    | spl0_120
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3011,f924,f802,f792,f1249]) ).

fof(f1249,plain,
    ( spl0_163
  <=> c0_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f792,plain,
    ( spl0_120
  <=> c2_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f802,plain,
    ( spl0_122
  <=> c1_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f924,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3011,plain,
    ( ~ c0_1(a24)
    | spl0_120
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2722,f794]) ).

fof(f794,plain,
    ( ~ c2_1(a24)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f2722,plain,
    ( c2_1(a24)
    | ~ c0_1(a24)
    | ~ spl0_122
    | ~ spl0_147 ),
    inference(resolution,[],[f804,f925]) ).

fof(f925,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f804,plain,
    ( c1_1(a24)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f2991,plain,
    ( spl0_109
    | spl0_110
    | ~ spl0_115
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2990]) ).

fof(f2990,plain,
    ( $false
    | spl0_109
    | spl0_110
    | ~ spl0_115
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2989,f739]) ).

fof(f739,plain,
    ( ~ c1_1(a5)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f737,plain,
    ( spl0_109
  <=> c1_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2989,plain,
    ( c1_1(a5)
    | spl0_110
    | ~ spl0_115
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2979,f744]) ).

fof(f744,plain,
    ( ~ c0_1(a5)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f742,plain,
    ( spl0_110
  <=> c0_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2979,plain,
    ( c0_1(a5)
    | c1_1(a5)
    | ~ spl0_115
    | ~ spl0_160 ),
    inference(resolution,[],[f998,f769]) ).

fof(f769,plain,
    ( c2_1(a5)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f767,plain,
    ( spl0_115
  <=> c2_1(a5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f998,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f997,plain,
    ( spl0_160
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2988,plain,
    ( spl0_65
    | spl0_66
    | ~ spl0_76
    | ~ spl0_150
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2987]) ).

fof(f2987,plain,
    ( $false
    | spl0_65
    | spl0_66
    | ~ spl0_76
    | ~ spl0_150
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2986,f519]) ).

fof(f519,plain,
    ( ~ c1_1(a10)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f517,plain,
    ( spl0_65
  <=> c1_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2986,plain,
    ( c1_1(a10)
    | spl0_65
    | spl0_66
    | ~ spl0_76
    | ~ spl0_150
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2978,f2806]) ).

fof(f2806,plain,
    ( ~ c0_1(a10)
    | spl0_65
    | spl0_66
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2798,f519]) ).

fof(f2798,plain,
    ( ~ c0_1(a10)
    | c1_1(a10)
    | spl0_66
    | ~ spl0_150 ),
    inference(resolution,[],[f940,f524]) ).

fof(f524,plain,
    ( ~ c3_1(a10)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl0_66
  <=> c3_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f2978,plain,
    ( c0_1(a10)
    | c1_1(a10)
    | ~ spl0_76
    | ~ spl0_160 ),
    inference(resolution,[],[f998,f574]) ).

fof(f574,plain,
    ( c2_1(a10)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_76
  <=> c2_1(a10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2804,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_19
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2803]) ).

fof(f2803,plain,
    ( $false
    | spl0_8
    | spl0_9
    | ~ spl0_19
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2802,f234]) ).

fof(f234,plain,
    ( ~ c1_1(a42)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_8
  <=> c1_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2802,plain,
    ( c1_1(a42)
    | spl0_9
    | ~ spl0_19
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2792,f289]) ).

fof(f289,plain,
    ( c0_1(a42)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl0_19
  <=> c0_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f2792,plain,
    ( ~ c0_1(a42)
    | c1_1(a42)
    | spl0_9
    | ~ spl0_150 ),
    inference(resolution,[],[f940,f239]) ).

fof(f239,plain,
    ( ~ c3_1(a42)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl0_9
  <=> c3_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2741,plain,
    ( spl0_168
    | ~ spl0_45
    | ~ spl0_52
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2740,f856,f452,f417,f1432]) ).

fof(f1432,plain,
    ( spl0_168
  <=> c0_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f417,plain,
    ( spl0_45
  <=> c3_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f452,plain,
    ( spl0_52
  <=> c2_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f856,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2740,plain,
    ( c0_1(a30)
    | ~ spl0_45
    | ~ spl0_52
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2730,f454]) ).

fof(f454,plain,
    ( c2_1(a30)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f2730,plain,
    ( c0_1(a30)
    | ~ c2_1(a30)
    | ~ spl0_45
    | ~ spl0_132 ),
    inference(resolution,[],[f857,f419]) ).

fof(f419,plain,
    ( c3_1(a30)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f857,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f2715,plain,
    ( spl0_178
    | ~ spl0_43
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2712,f901,f848,f407,f2659]) ).

fof(f2659,plain,
    ( spl0_178
  <=> c2_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f407,plain,
    ( spl0_43
  <=> c1_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f848,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f901,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2712,plain,
    ( c2_1(a7)
    | ~ spl0_43
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(resolution,[],[f2698,f409]) ).

fof(f409,plain,
    ( c1_1(a7)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f2698,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f849,f902]) ).

fof(f902,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f849,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f2714,plain,
    ( spl0_12
    | ~ spl0_16
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2713]) ).

fof(f2713,plain,
    ( $false
    | spl0_12
    | ~ spl0_16
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2710,f254]) ).

fof(f254,plain,
    ( ~ c2_1(a17)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl0_12
  <=> c2_1(a17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2710,plain,
    ( c2_1(a17)
    | ~ spl0_16
    | ~ spl0_130
    | ~ spl0_143 ),
    inference(resolution,[],[f2698,f274]) ).

fof(f274,plain,
    ( c1_1(a17)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl0_16
  <=> c1_1(a17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2695,plain,
    ( spl0_88
    | spl0_93
    | spl0_99
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2694]) ).

fof(f2694,plain,
    ( $false
    | spl0_88
    | spl0_93
    | spl0_99
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2693,f634]) ).

fof(f2693,plain,
    ( c1_1(a9)
    | spl0_93
    | spl0_99
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2681,f689]) ).

fof(f689,plain,
    ( ~ c0_1(a9)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f687,plain,
    ( spl0_99
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2681,plain,
    ( c0_1(a9)
    | c1_1(a9)
    | spl0_93
    | ~ spl0_148 ),
    inference(resolution,[],[f929,f659]) ).

fof(f2686,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_148
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2685]) ).

fof(f2685,plain,
    ( $false
    | spl0_96
    | spl0_97
    | ~ spl0_148
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2684,f1289]) ).

fof(f1289,plain,
    ( ~ c1_1(a52)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f1288,plain,
    ( spl0_166
  <=> c1_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2684,plain,
    ( c1_1(a52)
    | spl0_96
    | spl0_97
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2671,f679]) ).

fof(f679,plain,
    ( ~ c0_1(a52)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_97
  <=> c0_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2671,plain,
    ( c0_1(a52)
    | c1_1(a52)
    | spl0_96
    | ~ spl0_148 ),
    inference(resolution,[],[f929,f674]) ).

fof(f674,plain,
    ( ~ c2_1(a52)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl0_96
  <=> c2_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2662,plain,
    ( ~ spl0_43
    | ~ spl0_178
    | ~ spl0_50
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2590,f884,f442,f2659,f407]) ).

fof(f442,plain,
    ( spl0_50
  <=> c3_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f884,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2590,plain,
    ( ~ c2_1(a7)
    | ~ c1_1(a7)
    | ~ spl0_50
    | ~ spl0_139 ),
    inference(resolution,[],[f885,f444]) ).

fof(f444,plain,
    ( c3_1(a7)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f885,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f2651,plain,
    ( spl0_11
    | ~ spl0_17
    | ~ spl0_20
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2650]) ).

fof(f2650,plain,
    ( $false
    | spl0_11
    | ~ spl0_17
    | ~ spl0_20
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2649,f294]) ).

fof(f294,plain,
    ( c0_1(a36)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl0_20
  <=> c0_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f2649,plain,
    ( ~ c0_1(a36)
    | spl0_11
    | ~ spl0_17
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2644,f249]) ).

fof(f249,plain,
    ( ~ c2_1(a36)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_11
  <=> c2_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2644,plain,
    ( c2_1(a36)
    | ~ c0_1(a36)
    | ~ spl0_17
    | ~ spl0_147 ),
    inference(resolution,[],[f925,f279]) ).

fof(f279,plain,
    ( c1_1(a36)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl0_17
  <=> c1_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2539,plain,
    ( ~ spl0_128
    | ~ spl0_129
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2538]) ).

fof(f2538,plain,
    ( $false
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2528,f839]) ).

fof(f2528,plain,
    ( ~ c0_1(a6)
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(resolution,[],[f2513,f834]) ).

fof(f2513,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f918,f865]) ).

fof(f865,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2507,plain,
    ( spl0_31
    | ~ spl0_45
    | ~ spl0_52
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2506]) ).

fof(f2506,plain,
    ( $false
    | spl0_31
    | ~ spl0_45
    | ~ spl0_52
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2505,f454]) ).

fof(f2505,plain,
    ( ~ c2_1(a30)
    | spl0_31
    | ~ spl0_45
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2486,f349]) ).

fof(f349,plain,
    ( ~ c1_1(a30)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f347,plain,
    ( spl0_31
  <=> c1_1(a30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2486,plain,
    ( c1_1(a30)
    | ~ c2_1(a30)
    | ~ spl0_45
    | ~ spl0_152 ),
    inference(resolution,[],[f950,f419]) ).

fof(f950,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2500,plain,
    ( ~ spl0_113
    | ~ spl0_114
    | ~ spl0_152
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2499]) ).

fof(f2499,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_152
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2498,f764]) ).

fof(f764,plain,
    ( c2_1(a20)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f762,plain,
    ( spl0_114
  <=> c2_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2498,plain,
    ( ~ c2_1(a20)
    | ~ spl0_113
    | ~ spl0_152
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2481,f1041]) ).

fof(f1041,plain,
    ( ~ c1_1(a20)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f1039,plain,
    ( spl0_161
  <=> c1_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2481,plain,
    ( c1_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_113
    | ~ spl0_152 ),
    inference(resolution,[],[f950,f759]) ).

fof(f759,plain,
    ( c3_1(a20)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_113
  <=> c3_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2427,plain,
    ( spl0_162
    | spl0_94
    | ~ spl0_104
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2416,f932,f712,f662,f1213]) ).

fof(f932,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2416,plain,
    ( c3_1(a1)
    | spl0_94
    | ~ spl0_104
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2407,f714]) ).

fof(f2407,plain,
    ( ~ c0_1(a1)
    | c3_1(a1)
    | spl0_94
    | ~ spl0_149 ),
    inference(resolution,[],[f933,f664]) ).

fof(f933,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f2426,plain,
    ( spl0_90
    | spl0_95
    | ~ spl0_149
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2419,f1766,f932,f667,f642]) ).

fof(f2419,plain,
    ( c3_1(a15)
    | spl0_95
    | ~ spl0_149
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2408,f1767]) ).

fof(f1767,plain,
    ( c0_1(a15)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1766]) ).

fof(f2408,plain,
    ( ~ c0_1(a15)
    | c3_1(a15)
    | spl0_95
    | ~ spl0_149 ),
    inference(resolution,[],[f933,f669]) ).

fof(f2422,plain,
    ( spl0_33
    | spl0_36
    | ~ spl0_55
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2413,f932,f467,f372,f357]) ).

fof(f372,plain,
    ( spl0_36
  <=> c2_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2413,plain,
    ( c3_1(a21)
    | spl0_36
    | ~ spl0_55
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2405,f469]) ).

fof(f2405,plain,
    ( ~ c0_1(a21)
    | c3_1(a21)
    | spl0_36
    | ~ spl0_149 ),
    inference(resolution,[],[f933,f374]) ).

fof(f374,plain,
    ( ~ c2_1(a21)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2362,plain,
    ( spl0_120
    | ~ spl0_122
    | ~ spl0_145
    | spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2361]) ).

fof(f2361,plain,
    ( $false
    | spl0_120
    | ~ spl0_122
    | ~ spl0_145
    | spl0_163 ),
    inference(subsumption_resolution,[],[f2360,f804]) ).

fof(f2360,plain,
    ( ~ c1_1(a24)
    | spl0_120
    | ~ spl0_145
    | spl0_163 ),
    inference(subsumption_resolution,[],[f2344,f1251]) ).

fof(f1251,plain,
    ( ~ c0_1(a24)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1249]) ).

fof(f2344,plain,
    ( c0_1(a24)
    | ~ c1_1(a24)
    | spl0_120
    | ~ spl0_145 ),
    inference(resolution,[],[f912,f794]) ).

fof(f912,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f911,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2359,plain,
    ( spl0_175
    | spl0_69
    | ~ spl0_72
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2358,f911,f552,f537,f2078]) ).

fof(f537,plain,
    ( spl0_69
  <=> c2_1(a29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2358,plain,
    ( c0_1(a29)
    | spl0_69
    | ~ spl0_72
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2343,f554]) ).

fof(f2343,plain,
    ( c0_1(a29)
    | ~ c1_1(a29)
    | spl0_69
    | ~ spl0_145 ),
    inference(resolution,[],[f912,f539]) ).

fof(f539,plain,
    ( ~ c2_1(a29)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f2357,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_145
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2356]) ).

fof(f2356,plain,
    ( $false
    | spl0_96
    | spl0_97
    | ~ spl0_145
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2355,f1290]) ).

fof(f1290,plain,
    ( c1_1(a52)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f2355,plain,
    ( ~ c1_1(a52)
    | spl0_96
    | spl0_97
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2340,f679]) ).

fof(f2340,plain,
    ( c0_1(a52)
    | ~ c1_1(a52)
    | spl0_96
    | ~ spl0_145 ),
    inference(resolution,[],[f912,f674]) ).

fof(f2302,plain,
    ( spl0_110
    | ~ spl0_115
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2301]) ).

fof(f2301,plain,
    ( $false
    | spl0_110
    | ~ spl0_115
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2293,f744]) ).

fof(f2293,plain,
    ( c0_1(a5)
    | ~ spl0_115
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(resolution,[],[f2281,f769]) ).

fof(f2281,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f881,f857]) ).

fof(f881,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2300,plain,
    ( spl0_111
    | ~ spl0_116
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2299,plain,
    ( $false
    | spl0_111
    | ~ spl0_116
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2291,f749]) ).

fof(f749,plain,
    ( ~ c0_1(a13)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f747,plain,
    ( spl0_111
  <=> c0_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2291,plain,
    ( c0_1(a13)
    | ~ spl0_116
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(resolution,[],[f2281,f774]) ).

fof(f774,plain,
    ( c2_1(a13)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f772,plain,
    ( spl0_116
  <=> c2_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2279,plain,
    ( ~ spl0_121
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2278]) ).

fof(f2278,plain,
    ( $false
    | ~ spl0_121
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2277,f814]) ).

fof(f814,plain,
    ( c2_1(a2)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_124
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2277,plain,
    ( ~ c2_1(a2)
    | ~ spl0_121
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2269,f819]) ).

fof(f819,plain,
    ( c0_1(a2)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f817,plain,
    ( spl0_125
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2269,plain,
    ( ~ c0_1(a2)
    | ~ c2_1(a2)
    | ~ spl0_121
    | ~ spl0_136 ),
    inference(resolution,[],[f873,f799]) ).

fof(f799,plain,
    ( c1_1(a2)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f797,plain,
    ( spl0_121
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2198,plain,
    ( ~ spl0_121
    | ~ spl0_125
    | ~ spl0_134
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2197]) ).

fof(f2197,plain,
    ( $false
    | ~ spl0_121
    | ~ spl0_125
    | ~ spl0_134
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2188,f819]) ).

fof(f2188,plain,
    ( ~ c0_1(a2)
    | ~ spl0_121
    | ~ spl0_134
    | ~ spl0_155 ),
    inference(resolution,[],[f2173,f799]) ).

fof(f2173,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f964,f865]) ).

fof(f2185,plain,
    ( ~ spl0_165
    | ~ spl0_129
    | ~ spl0_128
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2184,f864,f832,f837,f1280]) ).

fof(f2184,plain,
    ( ~ c0_1(a6)
    | ~ c1_1(a6)
    | ~ spl0_128
    | ~ spl0_134 ),
    inference(resolution,[],[f834,f865]) ).

fof(f2172,plain,
    ( ~ spl0_163
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2171,f864,f807,f802,f1249]) ).

fof(f807,plain,
    ( spl0_123
  <=> c3_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2171,plain,
    ( ~ c0_1(a24)
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2153,f804]) ).

fof(f2153,plain,
    ( ~ c0_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_123
    | ~ spl0_134 ),
    inference(resolution,[],[f865,f809]) ).

fof(f809,plain,
    ( c3_1(a24)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f2167,plain,
    ( ~ spl0_57
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2166,f864,f422,f412,f477]) ).

fof(f477,plain,
    ( spl0_57
  <=> c0_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f412,plain,
    ( spl0_44
  <=> c1_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f422,plain,
    ( spl0_46
  <=> c3_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2166,plain,
    ( ~ c0_1(a76)
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2144,f414]) ).

fof(f414,plain,
    ( c1_1(a76)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f2144,plain,
    ( ~ c0_1(a76)
    | ~ c1_1(a76)
    | ~ spl0_46
    | ~ spl0_134 ),
    inference(resolution,[],[f865,f424]) ).

fof(f424,plain,
    ( c3_1(a76)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f2068,plain,
    ( spl0_38
    | spl0_34
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2067,f852,f392,f362,f382]) ).

fof(f382,plain,
    ( spl0_38
  <=> c0_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f362,plain,
    ( spl0_34
  <=> c3_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f392,plain,
    ( spl0_40
  <=> c1_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f852,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2067,plain,
    ( c0_1(a35)
    | spl0_34
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2053,f364]) ).

fof(f364,plain,
    ( ~ c3_1(a35)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f2053,plain,
    ( c0_1(a35)
    | c3_1(a35)
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(resolution,[],[f853,f394]) ).

fof(f394,plain,
    ( c1_1(a35)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f853,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f2046,plain,
    ( spl0_164
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2045,f848,f422,f412,f1259]) ).

fof(f1259,plain,
    ( spl0_164
  <=> c2_1(a76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2045,plain,
    ( c2_1(a76)
    | ~ spl0_44
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2013,f414]) ).

fof(f2013,plain,
    ( c2_1(a76)
    | ~ c1_1(a76)
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(resolution,[],[f849,f424]) ).

fof(f2011,plain,
    ( spl0_91
    | ~ spl0_101
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2010]) ).

fof(f2010,plain,
    ( $false
    | spl0_91
    | ~ spl0_101
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1996,f699]) ).

fof(f699,plain,
    ( c1_1(a12)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl0_101
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1996,plain,
    ( ~ c1_1(a12)
    | spl0_91
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(resolution,[],[f1927,f649]) ).

fof(f649,plain,
    ( ~ c3_1(a12)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_91
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1927,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f853,f964]) ).

fof(f2005,plain,
    ( spl0_34
    | ~ spl0_40
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2004]) ).

fof(f2004,plain,
    ( $false
    | spl0_34
    | ~ spl0_40
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1993,f394]) ).

fof(f1993,plain,
    ( ~ c1_1(a35)
    | spl0_34
    | ~ spl0_131
    | ~ spl0_155 ),
    inference(resolution,[],[f1927,f364]) ).

fof(f1928,plain,
    ( spl0_120
    | spl0_163
    | ~ spl0_123
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1625,f893,f807,f1249,f792]) ).

fof(f1625,plain,
    ( c0_1(a24)
    | c2_1(a24)
    | ~ spl0_123
    | ~ spl0_141 ),
    inference(resolution,[],[f894,f809]) ).

fof(f1925,plain,
    ( ~ spl0_169
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1924,f897,f457,f437,f1585]) ).

fof(f457,plain,
    ( spl0_53
  <=> c2_1(a8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f897,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1924,plain,
    ( ~ c0_1(a8)
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1873,f459]) ).

fof(f459,plain,
    ( c2_1(a8)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f1873,plain,
    ( ~ c0_1(a8)
    | ~ c2_1(a8)
    | ~ spl0_49
    | ~ spl0_142 ),
    inference(resolution,[],[f898,f439]) ).

fof(f898,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1919,plain,
    ( ~ spl0_105
    | spl0_91
    | ~ spl0_101
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1910,f963,f697,f647,f717]) ).

fof(f717,plain,
    ( spl0_105
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1910,plain,
    ( ~ c0_1(a12)
    | spl0_91
    | ~ spl0_101
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1894,f699]) ).

fof(f1894,plain,
    ( ~ c1_1(a12)
    | ~ c0_1(a12)
    | spl0_91
    | ~ spl0_155 ),
    inference(resolution,[],[f964,f649]) ).

fof(f1918,plain,
    ( spl0_99
    | spl0_93
    | ~ spl0_141
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1917,f1786,f893,f657,f687]) ).

fof(f1917,plain,
    ( c0_1(a9)
    | spl0_93
    | ~ spl0_141
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f1869,f659]) ).

fof(f1869,plain,
    ( c0_1(a9)
    | c2_1(a9)
    | ~ spl0_141
    | ~ spl0_171 ),
    inference(resolution,[],[f1788,f894]) ).

fof(f1788,plain,
    ( c3_1(a9)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1786]) ).

fof(f1903,plain,
    ( spl0_136
    | ~ spl0_142
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1902,f963,f897,f872]) ).

fof(f1902,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_142
    | ~ spl0_155 ),
    inference(duplicate_literal_removal,[],[f1884]) ).

fof(f1884,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_142
    | ~ spl0_155 ),
    inference(resolution,[],[f964,f898]) ).

fof(f1688,plain,
    ( ~ spl0_168
    | spl0_31
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1685,f917,f417,f347,f1432]) ).

fof(f1685,plain,
    ( ~ c0_1(a30)
    | spl0_31
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1679,f349]) ).

fof(f1679,plain,
    ( c1_1(a30)
    | ~ c0_1(a30)
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(resolution,[],[f918,f419]) ).

fof(f1669,plain,
    ( spl0_33
    | spl0_36
    | ~ spl0_55
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1666,f901,f860,f467,f372,f357]) ).

fof(f860,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1666,plain,
    ( c3_1(a21)
    | spl0_36
    | ~ spl0_55
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1654,f1534]) ).

fof(f1534,plain,
    ( c1_1(a21)
    | spl0_36
    | ~ spl0_55
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1533,f469]) ).

fof(f1533,plain,
    ( ~ c0_1(a21)
    | c1_1(a21)
    | spl0_36
    | ~ spl0_133 ),
    inference(resolution,[],[f374,f861]) ).

fof(f861,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1654,plain,
    ( ~ c1_1(a21)
    | c3_1(a21)
    | spl0_36
    | ~ spl0_143 ),
    inference(resolution,[],[f902,f374]) ).

fof(f1665,plain,
    ( spl0_68
    | spl0_69
    | ~ spl0_72
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1664,plain,
    ( $false
    | spl0_68
    | spl0_69
    | ~ spl0_72
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1663,f534]) ).

fof(f1663,plain,
    ( c3_1(a29)
    | spl0_69
    | ~ spl0_72
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1652,f554]) ).

fof(f1652,plain,
    ( ~ c1_1(a29)
    | c3_1(a29)
    | spl0_69
    | ~ spl0_143 ),
    inference(resolution,[],[f902,f539]) ).

fof(f1641,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_102
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1631,f893,f702,f677,f672]) ).

fof(f702,plain,
    ( spl0_102
  <=> c3_1(a52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1631,plain,
    ( c2_1(a52)
    | spl0_97
    | ~ spl0_102
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1622,f679]) ).

fof(f1622,plain,
    ( c0_1(a52)
    | c2_1(a52)
    | ~ spl0_102
    | ~ spl0_141 ),
    inference(resolution,[],[f894,f704]) ).

fof(f704,plain,
    ( c3_1(a52)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1612,plain,
    ( spl0_71
    | ~ spl0_74
    | ~ spl0_132
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1611,plain,
    ( $false
    | spl0_71
    | ~ spl0_74
    | ~ spl0_132
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1601,f549]) ).

fof(f549,plain,
    ( ~ c0_1(a26)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl0_71
  <=> c0_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1601,plain,
    ( c0_1(a26)
    | ~ spl0_74
    | ~ spl0_132
    | ~ spl0_141 ),
    inference(resolution,[],[f1593,f564]) ).

fof(f564,plain,
    ( c3_1(a26)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl0_74
  <=> c3_1(a26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1593,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f894,f857]) ).

fof(f1552,plain,
    ( ~ spl0_165
    | spl0_127
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1551,f848,f832,f827,f1280]) ).

fof(f1551,plain,
    ( ~ c1_1(a6)
    | spl0_127
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1546,f829]) ).

fof(f1546,plain,
    ( c2_1(a6)
    | ~ c1_1(a6)
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(resolution,[],[f849,f834]) ).

fof(f1460,plain,
    ( spl0_111
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1459,plain,
    ( $false
    | spl0_111
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1458,f749]) ).

fof(f1458,plain,
    ( c0_1(a13)
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_135 ),
    inference(resolution,[],[f754,f1207]) ).

fof(f1207,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f853,f869]) ).

fof(f754,plain,
    ( c1_1(a13)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f752,plain,
    ( spl0_112
  <=> c1_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1430,plain,
    ( ~ spl0_52
    | ~ spl0_45
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1420,f897,f856,f417,f452]) ).

fof(f1420,plain,
    ( ~ c2_1(a30)
    | ~ spl0_45
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(resolution,[],[f1354,f419]) ).

fof(f1354,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f857,f898]) ).

fof(f1302,plain,
    ( spl0_32
    | ~ spl0_47
    | ~ spl0_56
    | ~ spl0_133
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1299,f897,f860,f472,f427,f352]) ).

fof(f352,plain,
    ( spl0_32
  <=> c1_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f427,plain,
    ( spl0_47
  <=> c3_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f472,plain,
    ( spl0_56
  <=> c0_1(a54) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1299,plain,
    ( c1_1(a54)
    | ~ spl0_47
    | ~ spl0_56
    | ~ spl0_133
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1297,f474]) ).

fof(f474,plain,
    ( c0_1(a54)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1297,plain,
    ( ~ c0_1(a54)
    | c1_1(a54)
    | ~ spl0_47
    | ~ spl0_56
    | ~ spl0_133
    | ~ spl0_142 ),
    inference(resolution,[],[f1245,f861]) ).

fof(f1245,plain,
    ( ~ c2_1(a54)
    | ~ spl0_47
    | ~ spl0_56
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1233,f474]) ).

fof(f1233,plain,
    ( ~ c0_1(a54)
    | ~ c2_1(a54)
    | ~ spl0_47
    | ~ spl0_142 ),
    inference(resolution,[],[f898,f429]) ).

fof(f429,plain,
    ( c3_1(a54)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1283,plain,
    ( spl0_165
    | ~ spl0_129
    | spl0_127
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1117,f860,f827,f837,f1280]) ).

fof(f1117,plain,
    ( ~ c0_1(a6)
    | c1_1(a6)
    | spl0_127
    | ~ spl0_133 ),
    inference(resolution,[],[f861,f829]) ).

fof(f1262,plain,
    ( ~ spl0_164
    | ~ spl0_57
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1256,f897,f422,f477,f1259]) ).

fof(f1256,plain,
    ( ~ c0_1(a76)
    | ~ c2_1(a76)
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(resolution,[],[f424,f898]) ).

fof(f1211,plain,
    ( ~ spl0_104
    | spl0_86
    | spl0_94
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1210,f860,f662,f622,f712]) ).

fof(f1210,plain,
    ( ~ c0_1(a1)
    | spl0_86
    | spl0_94
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1208,f624]) ).

fof(f1208,plain,
    ( ~ c0_1(a1)
    | c1_1(a1)
    | spl0_94
    | ~ spl0_133 ),
    inference(resolution,[],[f664,f861]) ).

fof(f1206,plain,
    ( ~ spl0_56
    | spl0_32
    | ~ spl0_47
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1205,f917,f427,f352,f472]) ).

fof(f1205,plain,
    ( ~ c0_1(a54)
    | spl0_32
    | ~ spl0_47
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1203,f354]) ).

fof(f354,plain,
    ( ~ c1_1(a54)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1203,plain,
    ( c1_1(a54)
    | ~ c0_1(a54)
    | ~ spl0_47
    | ~ spl0_146 ),
    inference(resolution,[],[f429,f918]) ).

fof(f1200,plain,
    ( spl0_39
    | ~ spl0_43
    | ~ spl0_137
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1199]) ).

fof(f1199,plain,
    ( $false
    | spl0_39
    | ~ spl0_43
    | ~ spl0_137
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1194,f389]) ).

fof(f389,plain,
    ( ~ c0_1(a7)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f387,plain,
    ( spl0_39
  <=> c0_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1194,plain,
    ( c0_1(a7)
    | ~ spl0_43
    | ~ spl0_137
    | ~ spl0_145 ),
    inference(resolution,[],[f1184,f409]) ).

fof(f1184,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_137
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f877,f912]) ).

fof(f877,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1183,plain,
    ( ~ spl0_161
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1182,f884,f762,f757,f1039]) ).

fof(f1182,plain,
    ( ~ c1_1(a20)
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1088,f764]) ).

fof(f1088,plain,
    ( ~ c2_1(a20)
    | ~ c1_1(a20)
    | ~ spl0_113
    | ~ spl0_139 ),
    inference(resolution,[],[f885,f759]) ).

fof(f1181,plain,
    ( spl0_161
    | ~ spl0_113
    | ~ spl0_117
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1180,f917,f777,f757,f1039]) ).

fof(f777,plain,
    ( spl0_117
  <=> c0_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1180,plain,
    ( c1_1(a20)
    | ~ spl0_113
    | ~ spl0_117
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1168,f779]) ).

fof(f779,plain,
    ( c0_1(a20)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f1168,plain,
    ( c1_1(a20)
    | ~ c0_1(a20)
    | ~ spl0_113
    | ~ spl0_146 ),
    inference(resolution,[],[f918,f759]) ).

fof(f1178,plain,
    ( ~ spl0_113
    | ~ spl0_117
    | ~ spl0_146
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_117
    | ~ spl0_146
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1176,f779]) ).

fof(f1176,plain,
    ( ~ c0_1(a20)
    | ~ spl0_113
    | ~ spl0_146
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1168,f1041]) ).

fof(f1157,plain,
    ( ~ spl0_113
    | ~ spl0_114
    | ~ spl0_117
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_117
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1155,f764]) ).

fof(f1155,plain,
    ( ~ c2_1(a20)
    | ~ spl0_113
    | ~ spl0_117
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1147,f779]) ).

fof(f1147,plain,
    ( ~ c0_1(a20)
    | ~ c2_1(a20)
    | ~ spl0_113
    | ~ spl0_142 ),
    inference(resolution,[],[f898,f759]) ).

fof(f1111,plain,
    ( spl0_14
    | spl0_10
    | spl0_13
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1110,f889,f257,f242,f262]) ).

fof(f262,plain,
    ( spl0_14
  <=> c0_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f242,plain,
    ( spl0_10
  <=> c3_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f257,plain,
    ( spl0_13
  <=> c2_1(a40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f889,plain,
    ( spl0_140
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1110,plain,
    ( c0_1(a40)
    | spl0_10
    | spl0_13
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1100,f244]) ).

fof(f244,plain,
    ( ~ c3_1(a40)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f1100,plain,
    ( c0_1(a40)
    | c3_1(a40)
    | spl0_13
    | ~ spl0_140 ),
    inference(resolution,[],[f890,f259]) ).

fof(f259,plain,
    ( ~ c2_1(a40)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f890,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f1082,plain,
    ( spl0_89
    | spl0_100
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1081]) ).

fof(f1081,plain,
    ( $false
    | spl0_89
    | spl0_100
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1080,f639]) ).

fof(f639,plain,
    ( ~ c3_1(a39)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f637,plain,
    ( spl0_89
  <=> c3_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1080,plain,
    ( c3_1(a39)
    | spl0_100
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1071,f694]) ).

fof(f694,plain,
    ( ~ c0_1(a39)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f692,plain,
    ( spl0_100
  <=> c0_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1071,plain,
    ( c0_1(a39)
    | c3_1(a39)
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(resolution,[],[f881,f709]) ).

fof(f709,plain,
    ( c2_1(a39)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f707,plain,
    ( spl0_103
  <=> c2_1(a39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1068,plain,
    ( spl0_39
    | ~ spl0_43
    | ~ spl0_50
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1067]) ).

fof(f1067,plain,
    ( $false
    | spl0_39
    | ~ spl0_43
    | ~ spl0_50
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1066,f409]) ).

fof(f1066,plain,
    ( ~ c1_1(a7)
    | spl0_39
    | ~ spl0_50
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1062,f389]) ).

fof(f1062,plain,
    ( c0_1(a7)
    | ~ c1_1(a7)
    | ~ spl0_50
    | ~ spl0_135 ),
    inference(resolution,[],[f869,f444]) ).

fof(f1057,plain,
    ( ~ spl0_54
    | spl0_37
    | ~ spl0_48
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1056,f856,f432,f377,f462]) ).

fof(f462,plain,
    ( spl0_54
  <=> c2_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f377,plain,
    ( spl0_37
  <=> c0_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f432,plain,
    ( spl0_48
  <=> c3_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1056,plain,
    ( ~ c2_1(a28)
    | spl0_37
    | ~ spl0_48
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1055,f379]) ).

fof(f379,plain,
    ( ~ c0_1(a28)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1055,plain,
    ( c0_1(a28)
    | ~ c2_1(a28)
    | ~ spl0_48
    | ~ spl0_132 ),
    inference(resolution,[],[f434,f857]) ).

fof(f434,plain,
    ( c3_1(a28)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f1051,plain,
    ( ~ spl0_122
    | ~ spl0_123
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1046,f804]) ).

fof(f1046,plain,
    ( ~ c1_1(a24)
    | ~ spl0_123
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(resolution,[],[f1035,f809]) ).

fof(f1035,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f869,f865]) ).

fof(f1042,plain,
    ( ~ spl0_161
    | ~ spl0_117
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1036,f864,f757,f777,f1039]) ).

fof(f1036,plain,
    ( ~ c0_1(a20)
    | ~ c1_1(a20)
    | ~ spl0_113
    | ~ spl0_134 ),
    inference(resolution,[],[f759,f865]) ).

fof(f1033,plain,
    ( spl0_111
    | ~ spl0_112
    | ~ spl0_116
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1032]) ).

fof(f1032,plain,
    ( $false
    | spl0_111
    | ~ spl0_112
    | ~ spl0_116
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1031,f774]) ).

fof(f1031,plain,
    ( ~ c2_1(a13)
    | spl0_111
    | ~ spl0_112
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1027,f749]) ).

fof(f1027,plain,
    ( c0_1(a13)
    | ~ c2_1(a13)
    | ~ spl0_112
    | ~ spl0_137 ),
    inference(resolution,[],[f877,f754]) ).

fof(f1008,plain,
    ( spl0_120
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | spl0_120
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1006,f804]) ).

fof(f1006,plain,
    ( ~ c1_1(a24)
    | spl0_120
    | ~ spl0_123
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1003,f794]) ).

fof(f1003,plain,
    ( c2_1(a24)
    | ~ c1_1(a24)
    | ~ spl0_123
    | ~ spl0_130 ),
    inference(resolution,[],[f849,f809]) ).

fof(f1001,plain,
    ( spl0_157
    | spl0_158
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f198,f897,f976,f971]) ).

fof(f198,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f1000,plain,
    ( spl0_149
    | spl0_138
    | spl0_155
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f198,f963,f880,f932]) ).

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

fof(f999,plain,
    ( spl0_138
    | spl0_160
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f198,f911,f997,f880]) ).

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

fof(f995,plain,
    ( spl0_148
    | spl0_132
    | spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f198,f848,f856,f928]) ).

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

fof(f994,plain,
    ( spl0_146
    | spl0_142
    | spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f198,f864,f897,f917]) ).

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

fof(f993,plain,
    ( spl0_150
    | spl0_137
    | spl0_135
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f198,f868,f876,f939]) ).

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

fof(f992,plain,
    ( spl0_141
    | spl0_137
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f198,f884,f876,f893]) ).

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

fof(f991,plain,
    ( spl0_155
    | spl0_134
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f198,f911,f864,f963]) ).

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

fof(f985,plain,
    ( spl0_142
    | spl0_145
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f198,f782,f911,f897]) ).

fof(f782,plain,
    ( spl0_118
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f984,plain,
    ( spl0_142
    | spl0_143
    | spl0_119
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f198,f787,f901,f897]) ).

fof(f787,plain,
    ( spl0_119
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f983,plain,
    ( spl0_150
    | spl0_146
    | spl0_106
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f198,f722,f917,f939]) ).

fof(f722,plain,
    ( spl0_106
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f982,plain,
    ( spl0_157
    | spl0_152
    | spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f198,f727,f949,f971]) ).

fof(f727,plain,
    ( spl0_107
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f981,plain,
    ( spl0_138
    | spl0_152
    | spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f198,f727,f949,f880]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f980,plain,
    ( spl0_151
    | spl0_143
    | spl0_106
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f198,f722,f901,f943]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f979,plain,
    ( spl0_137
    | spl0_155
    | spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f198,f732,f963,f876]) ).

fof(f732,plain,
    ( spl0_108
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp30
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f974,plain,
    ( spl0_150
    | spl0_141
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f198,f612,f893,f939]) ).

fof(f612,plain,
    ( spl0_84
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f973,plain,
    ( spl0_157
    | spl0_155
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f198,f587,f963,f971]) ).

fof(f587,plain,
    ( spl0_79
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f965,plain,
    ( spl0_141
    | spl0_155
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f198,f607,f963,f893]) ).

fof(f607,plain,
    ( spl0_83
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f961,plain,
    ( spl0_141
    | spl0_134
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f198,f607,f864,f893]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f960,plain,
    ( spl0_142
    | spl0_134
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f198,f587,f864,f897]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f959,plain,
    ( spl0_138
    | spl0_143
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f198,f502,f901,f880]) ).

fof(f502,plain,
    ( spl0_62
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f958,plain,
    ( spl0_153
    | spl0_154
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f198,f487,f956,f953]) ).

fof(f487,plain,
    ( spl0_59
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

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

fof(f951,plain,
    ( spl0_152
    | spl0_147
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f198,f482,f924,f949]) ).

fof(f482,plain,
    ( spl0_58
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f947,plain,
    ( spl0_145
    | spl0_131
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f198,f492,f852,f911]) ).

fof(f492,plain,
    ( spl0_60
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f946,plain,
    ( spl0_140
    | spl0_141
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f198,f337,f893,f889]) ).

fof(f337,plain,
    ( spl0_29
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c3_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f941,plain,
    ( spl0_150
    | spl0_141
    | spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f198,f222,f893,f939]) ).

fof(f222,plain,
    ( spl0_6
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f937,plain,
    ( spl0_133
    | spl0_134
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f198,f212,f864,f860]) ).

fof(f212,plain,
    ( spl0_4
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f935,plain,
    ( spl0_131
    | spl0_108
    | spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f198,f727,f732,f852]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp30
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f934,plain,
    ( spl0_149
    | spl0_126
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f198,f582,f822,f932]) ).

fof(f822,plain,
    ( spl0_126
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f582,plain,
    ( spl0_78
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp3
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f930,plain,
    ( spl0_148
    | spl0_118
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f198,f602,f782,f928]) ).

fof(f602,plain,
    ( spl0_82
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp28
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f921,plain,
    ( spl0_130
    | spl0_118
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f198,f612,f782,f848]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp28
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f919,plain,
    ( spl0_146
    | spl0_107
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f198,f587,f727,f917]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp8
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f914,plain,
    ( spl0_134
    | spl0_106
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f198,f602,f722,f864]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp2
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f905,plain,
    ( spl0_142
    | spl0_62
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f198,f482,f502,f897]) ).

fof(f162,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f903,plain,
    ( spl0_143
    | spl0_126
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f198,f342,f822,f901]) ).

fof(f342,plain,
    ( spl0_30
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp3
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f899,plain,
    ( spl0_142
    | spl0_118
    | spl0_27
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f198,f327,f782,f897]) ).

fof(f327,plain,
    ( spl0_27
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp31
      | hskp28
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f895,plain,
    ( spl0_141
    | spl0_108
    | spl0_28
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f198,f332,f732,f893]) ).

fof(f332,plain,
    ( spl0_28
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp30
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f891,plain,
    ( spl0_140
    | spl0_83
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f198,f312,f607,f889]) ).

fof(f312,plain,
    ( spl0_24
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp5
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f887,plain,
    ( spl0_134
    | spl0_78
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f198,f302,f582,f864]) ).

fof(f302,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp24
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f886,plain,
    ( spl0_139
    | spl0_81
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f198,f342,f597,f884]) ).

fof(f597,plain,
    ( spl0_81
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp9
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f882,plain,
    ( spl0_138
    | spl0_58
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f198,f317,f482,f880]) ).

fof(f317,plain,
    ( spl0_25
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp15
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f878,plain,
    ( spl0_137
    | spl0_59
    | spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f198,f307,f487,f876]) ).

fof(f307,plain,
    ( spl0_23
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp17
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f870,plain,
    ( spl0_135
    | spl0_28
    | spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f198,f322,f332,f868]) ).

fof(f322,plain,
    ( spl0_26
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp11
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f862,plain,
    ( spl0_133
    | spl0_108
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f198,f217,f732,f860]) ).

fof(f217,plain,
    ( spl0_5
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp30
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f858,plain,
    ( spl0_132
    | spl0_29
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f198,f207,f337,f856]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp4
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f854,plain,
    ( spl0_131
    | spl0_119
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f198,f787,f852]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f850,plain,
    ( spl0_130
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f198,f317,f848]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f846,plain,
    ( spl0_108
    | spl0_84
    | spl0_80 ),
    inference(avatar_split_clause,[],[f34,f592,f612,f732]) ).

fof(f592,plain,
    ( spl0_80
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f34,axiom,
    ( hskp26
    | hskp7
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f845,plain,
    ( spl0_79
    | spl0_78
    | spl0_83 ),
    inference(avatar_split_clause,[],[f38,f607,f582,f587]) ).

fof(f38,axiom,
    ( hskp5
    | hskp24
    | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f844,plain,
    ( spl0_126
    | spl0_106
    | spl0_62 ),
    inference(avatar_split_clause,[],[f35,f502,f722,f822]) ).

fof(f35,axiom,
    ( hskp13
    | hskp2
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f841,plain,
    ( spl0_119
    | spl0_78
    | spl0_27 ),
    inference(avatar_split_clause,[],[f33,f327,f582,f787]) ).

fof(f33,axiom,
    ( hskp31
    | hskp24
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f840,plain,
    ( spl0_129
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f81,f822,f837]) ).

fof(f81,axiom,
    ( ~ hskp3
    | c0_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f835,plain,
    ( spl0_128
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f82,f822,f832]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c3_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f830,plain,
    ( ~ spl0_127
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f129,f822,f827]) ).

fof(f129,axiom,
    ( ~ hskp3
    | ~ c2_1(a6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f825,plain,
    ( spl0_1
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f29,f822,f198]) ).

fof(f29,axiom,
    ( ~ hskp3
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

fof(f820,plain,
    ( spl0_125
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f48,f782,f817]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c0_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f815,plain,
    ( spl0_124
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f50,f782,f812]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c2_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f810,plain,
    ( spl0_123
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f71,f787,f807]) ).

fof(f71,axiom,
    ( ~ hskp12
    | c3_1(a24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f805,plain,
    ( spl0_122
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f70,f787,f802]) ).

fof(f70,axiom,
    ( ~ hskp12
    | c1_1(a24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f800,plain,
    ( spl0_121
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f49,f782,f797]) ).

fof(f49,axiom,
    ( ~ hskp28
    | c1_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f795,plain,
    ( ~ spl0_120
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f113,f787,f792]) ).

fof(f113,axiom,
    ( ~ hskp12
    | ~ c2_1(a24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f780,plain,
    ( spl0_117
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f42,f732,f777]) ).

fof(f42,axiom,
    ( ~ hskp30
    | c0_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f775,plain,
    ( spl0_116
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f75,f727,f772]) ).

fof(f75,axiom,
    ( ~ hskp8
    | c2_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f770,plain,
    ( spl0_115
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f83,f722,f767]) ).

fof(f83,axiom,
    ( ~ hskp2
    | c2_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f765,plain,
    ( spl0_114
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f43,f732,f762]) ).

fof(f43,axiom,
    ( ~ hskp30
    | c2_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f760,plain,
    ( spl0_113
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f44,f732,f757]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c3_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f755,plain,
    ( spl0_112
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f74,f727,f752]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c1_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f750,plain,
    ( ~ spl0_111
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f121,f727,f747]) ).

fof(f121,axiom,
    ( ~ hskp8
    | ~ c0_1(a13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f745,plain,
    ( ~ spl0_110
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f130,f722,f742]) ).

fof(f130,axiom,
    ( ~ hskp2
    | ~ c0_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f740,plain,
    ( ~ spl0_109
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f131,f722,f737]) ).

fof(f131,axiom,
    ( ~ hskp2
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f725,plain,
    ( spl0_1
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f30,f722,f198]) ).

fof(f30,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f720,plain,
    ( spl0_105
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f76,f612,f717]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c0_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f715,plain,
    ( spl0_104
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f86,f602,f712]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c0_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f710,plain,
    ( spl0_103
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f56,f587,f707]) ).

fof(f56,axiom,
    ( ~ hskp21
    | c2_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f705,plain,
    ( spl0_102
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f54,f582,f702]) ).

fof(f54,axiom,
    ( ~ hskp24
    | c3_1(a52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f700,plain,
    ( spl0_101
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f77,f612,f697]) ).

fof(f77,axiom,
    ( ~ hskp7
    | c1_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f695,plain,
    ( ~ spl0_100
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f100,f587,f692]) ).

fof(f100,axiom,
    ( ~ hskp21
    | ~ c0_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f690,plain,
    ( ~ spl0_99
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f125,f607,f687]) ).

fof(f125,axiom,
    ( ~ hskp5
    | ~ c0_1(a9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f685,plain,
    ( ~ spl0_98
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f89,f592,f682]) ).

fof(f89,axiom,
    ( ~ hskp26
    | ~ c0_1(a57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f680,plain,
    ( ~ spl0_97
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f93,f582,f677]) ).

fof(f93,axiom,
    ( ~ hskp24
    | ~ c0_1(a52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f675,plain,
    ( ~ spl0_96
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f94,f582,f672]) ).

fof(f94,axiom,
    ( ~ hskp24
    | ~ c2_1(a52) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f670,plain,
    ( ~ spl0_95
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f119,f597,f667]) ).

fof(f119,axiom,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f665,plain,
    ( ~ spl0_94
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f134,f602,f662]) ).

fof(f134,axiom,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f660,plain,
    ( ~ spl0_93
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f127,f607,f657]) ).

fof(f127,axiom,
    ( ~ hskp5
    | ~ c2_1(a9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f655,plain,
    ( ~ spl0_92
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f91,f592,f652]) ).

fof(f91,axiom,
    ( ~ hskp26
    | ~ c3_1(a57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f650,plain,
    ( ~ spl0_91
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f122,f612,f647]) ).

fof(f122,axiom,
    ( ~ hskp7
    | ~ c3_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f645,plain,
    ( ~ spl0_90
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f120,f597,f642]) ).

fof(f120,axiom,
    ( ~ hskp9
    | ~ c3_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f640,plain,
    ( ~ spl0_89
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f101,f587,f637]) ).

fof(f101,axiom,
    ( ~ hskp21
    | ~ c3_1(a39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f635,plain,
    ( ~ spl0_88
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f126,f607,f632]) ).

fof(f126,axiom,
    ( ~ hskp5
    | ~ c1_1(a9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f630,plain,
    ( ~ spl0_87
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f90,f592,f627]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c1_1(a57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f625,plain,
    ( ~ spl0_86
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f133,f602,f622]) ).

fof(f133,axiom,
    ( ~ hskp0
    | ~ c1_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f620,plain,
    ( ~ spl0_85
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f118,f597,f617]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f580,plain,
    ( spl0_77
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f62,f487,f577]) ).

fof(f62,axiom,
    ( ~ hskp17
    | c0_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f575,plain,
    ( spl0_76
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f78,f492,f572]) ).

fof(f78,axiom,
    ( ~ hskp6
    | c2_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f570,plain,
    ( spl0_75
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f63,f487,f567]) ).

fof(f63,axiom,
    ( ~ hskp17
    | c2_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f565,plain,
    ( spl0_74
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f69,f502,f562]) ).

fof(f69,axiom,
    ( ~ hskp13
    | c3_1(a26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f555,plain,
    ( spl0_72
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f66,f482,f552]) ).

fof(f66,axiom,
    ( ~ hskp15
    | c1_1(a29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f550,plain,
    ( ~ spl0_71
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f111,f502,f547]) ).

fof(f111,axiom,
    ( ~ hskp13
    | ~ c0_1(a26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f540,plain,
    ( ~ spl0_69
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f108,f482,f537]) ).

fof(f108,axiom,
    ( ~ hskp15
    | ~ c2_1(a29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f535,plain,
    ( ~ spl0_68
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f109,f482,f532]) ).

fof(f109,axiom,
    ( ~ hskp15
    | ~ c3_1(a29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f530,plain,
    ( ~ spl0_67
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f106,f487,f527]) ).

fof(f106,axiom,
    ( ~ hskp17
    | ~ c3_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f525,plain,
    ( ~ spl0_66
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f124,f492,f522]) ).

fof(f124,axiom,
    ( ~ hskp6
    | ~ c3_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f520,plain,
    ( ~ spl0_65
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f123,f492,f517]) ).

fof(f123,axiom,
    ( ~ hskp6
    | ~ c1_1(a10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f505,plain,
    ( spl0_1
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f19,f502,f198]) ).

fof(f19,axiom,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f480,plain,
    ( spl0_57
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f39,f327,f477]) ).

fof(f39,axiom,
    ( ~ hskp31
    | c0_1(a76) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f475,plain,
    ( spl0_56
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f52,f342,f472]) ).

fof(f52,axiom,
    ( ~ hskp25
    | c0_1(a54) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f470,plain,
    ( spl0_55
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f72,f332,f467]) ).

fof(f72,axiom,
    ( ~ hskp11
    | c0_1(a21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f465,plain,
    ( spl0_54
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f67,f302,f462]) ).

fof(f67,axiom,
    ( ~ hskp14
    | c2_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f460,plain,
    ( spl0_53
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f46,f312,f457]) ).

fof(f46,axiom,
    ( ~ hskp29
    | c2_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f455,plain,
    ( spl0_52
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f64,f317,f452]) ).

fof(f64,axiom,
    ( ~ hskp16
    | c2_1(a30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f450,plain,
    ( spl0_51
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f61,f307,f447]) ).

fof(f61,axiom,
    ( ~ hskp18
    | c2_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f445,plain,
    ( spl0_50
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f80,f337,f442]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c3_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f440,plain,
    ( spl0_49
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f47,f312,f437]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c3_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f435,plain,
    ( spl0_48
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f68,f302,f432]) ).

fof(f68,axiom,
    ( ~ hskp14
    | c3_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f430,plain,
    ( spl0_47
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f53,f342,f427]) ).

fof(f53,axiom,
    ( ~ hskp25
    | c3_1(a54) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f425,plain,
    ( spl0_46
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f41,f327,f422]) ).

fof(f41,axiom,
    ( ~ hskp31
    | c3_1(a76) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f420,plain,
    ( spl0_45
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f65,f317,f417]) ).

fof(f65,axiom,
    ( ~ hskp16
    | c3_1(a30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f415,plain,
    ( spl0_44
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f40,f327,f412]) ).

fof(f40,axiom,
    ( ~ hskp31
    | c1_1(a76) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f410,plain,
    ( spl0_43
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f79,f337,f407]) ).

fof(f79,axiom,
    ( ~ hskp4
    | c1_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f405,plain,
    ( spl0_42
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f45,f312,f402]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c1_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f400,plain,
    ( spl0_41
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f60,f307,f397]) ).

fof(f60,axiom,
    ( ~ hskp18
    | c1_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f395,plain,
    ( spl0_40
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f59,f322,f392]) ).

fof(f59,axiom,
    ( ~ hskp19
    | c1_1(a35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f390,plain,
    ( ~ spl0_39
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f128,f337,f387]) ).

fof(f128,axiom,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f385,plain,
    ( ~ spl0_38
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f103,f322,f382]) ).

fof(f103,axiom,
    ( ~ hskp19
    | ~ c0_1(a35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f380,plain,
    ( ~ spl0_37
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f110,f302,f377]) ).

fof(f110,axiom,
    ( ~ hskp14
    | ~ c0_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f375,plain,
    ( ~ spl0_36
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f114,f332,f372]) ).

fof(f114,axiom,
    ( ~ hskp11
    | ~ c2_1(a21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f370,plain,
    ( ~ spl0_35
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f105,f307,f367]) ).

fof(f105,axiom,
    ( ~ hskp18
    | ~ c3_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f365,plain,
    ( ~ spl0_34
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f104,f322,f362]) ).

fof(f104,axiom,
    ( ~ hskp19
    | ~ c3_1(a35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f360,plain,
    ( ~ spl0_33
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f115,f332,f357]) ).

fof(f115,axiom,
    ( ~ hskp11
    | ~ c3_1(a21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f355,plain,
    ( ~ spl0_32
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f92,f342,f352]) ).

fof(f92,axiom,
    ( ~ hskp25
    | ~ c1_1(a54) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f350,plain,
    ( ~ spl0_31
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f107,f317,f347]) ).

fof(f107,axiom,
    ( ~ hskp16
    | ~ c1_1(a30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f295,plain,
    ( spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f57,f207,f292]) ).

fof(f57,axiom,
    ( ~ hskp20
    | c0_1(a36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f290,plain,
    ( spl0_19
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f55,f217,f287]) ).

fof(f55,axiom,
    ( ~ hskp23
    | c0_1(a42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f280,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f58,f207,f277]) ).

fof(f58,axiom,
    ( ~ hskp20
    | c1_1(a36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f275,plain,
    ( spl0_16
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f73,f222,f272]) ).

fof(f73,axiom,
    ( ~ hskp10
    | c1_1(a17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f265,plain,
    ( ~ spl0_14
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f97,f212,f262]) ).

fof(f97,axiom,
    ( ~ hskp22
    | ~ c0_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f260,plain,
    ( ~ spl0_13
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f98,f212,f257]) ).

fof(f98,axiom,
    ( ~ hskp22
    | ~ c2_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f255,plain,
    ( ~ spl0_12
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f117,f222,f252]) ).

fof(f117,axiom,
    ( ~ hskp10
    | ~ c2_1(a17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f250,plain,
    ( ~ spl0_11
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f102,f207,f247]) ).

fof(f102,axiom,
    ( ~ hskp20
    | ~ c2_1(a36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f245,plain,
    ( ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f99,f212,f242]) ).

fof(f99,axiom,
    ( ~ hskp22
    | ~ c3_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f240,plain,
    ( ~ spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f96,f217,f237]) ).

fof(f96,axiom,
    ( ~ hskp23
    | ~ c3_1(a42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f235,plain,
    ( ~ spl0_8
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f95,f217,f232]) ).

fof(f95,axiom,
    ( ~ hskp23
    | ~ c1_1(a42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN465-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n031.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 Apr 30 02:24:13 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (5270)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (5272)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (5273)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37  % (5271)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (5275)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (5274)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (5276)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (5277)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  Detected minimum model sizes of [1]
% 0.14/0.37  Detected maximum model sizes of [32]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  Detected minimum model sizes of [1]
% 0.14/0.37  Detected maximum model sizes of [32]
% 0.14/0.37  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.14/0.40  TRYING [5]
% 0.20/0.40  TRYING [5]
% 0.20/0.40  TRYING [5]
% 0.20/0.41  % (5276)First to succeed.
% 0.20/0.41  TRYING [5]
% 0.20/0.42  % (5276)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43  % (5276)------------------------------
% 0.20/0.43  % (5276)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.43  % (5276)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (5276)Memory used [KB]: 1821
% 0.20/0.43  % (5276)Time elapsed: 0.047 s
% 0.20/0.43  % (5276)Instructions burned: 77 (million)
% 0.20/0.43  % (5276)------------------------------
% 0.20/0.43  % (5276)------------------------------
% 0.20/0.43  % (5270)Success in time 0.058 s
%------------------------------------------------------------------------------