TSTP Solution File: SYN473-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN473-1 : 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 : n018.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 18:03:45 EDT 2024

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  288
% Syntax   : Number of formulae    :  812 (   1 unt;   0 def)
%            Number of atoms       : 2738 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3434 (1508   ~;1774   |;   0   &)
%                                         ( 152 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  186 ( 185 usr; 182 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  164 ( 164   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2994,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f225,f230,f235,f240,f245,f250,f255,f320,f330,f335,f340,f350,f360,f365,f370,f375,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f435,f455,f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f565,f570,f575,f580,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f660,f665,f670,f675,f685,f705,f710,f715,f720,f725,f730,f735,f740,f745,f750,f755,f760,f770,f775,f780,f785,f790,f795,f800,f810,f815,f820,f823,f825,f826,f831,f835,f843,f847,f848,f856,f858,f871,f872,f876,f880,f902,f906,f910,f914,f915,f916,f917,f921,f922,f923,f924,f928,f929,f933,f934,f935,f936,f940,f941,f944,f951,f953,f954,f956,f957,f958,f959,f963,f967,f968,f969,f970,f971,f972,f977,f978,f979,f1008,f1021,f1066,f1081,f1095,f1108,f1129,f1144,f1145,f1150,f1162,f1185,f1317,f1378,f1450,f1456,f1521,f1593,f1594,f1611,f1653,f1708,f1742,f1767,f1794,f1805,f1807,f1815,f1816,f1847,f1849,f1873,f1910,f1925,f1929,f1952,f1983,f2002,f2027,f2031,f2047,f2102,f2109,f2136,f2138,f2140,f2225,f2249,f2250,f2346,f2385,f2410,f2460,f2469,f2472,f2619,f2644,f2661,f2684,f2715,f2781,f2809,f2811,f2829,f2835,f2850,f2904,f2913,f2917,f2923,f2935,f2948,f2957,f2959,f2961,f2965,f2983,f2985,f2988,f2990,f2992]) ).

fof(f2992,plain,
    ( ~ spl0_177
    | spl0_118
    | ~ spl0_119
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2991,f841,f787,f782,f2590]) ).

fof(f2590,plain,
    ( spl0_177
  <=> c1_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f782,plain,
    ( spl0_118
  <=> c0_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f787,plain,
    ( spl0_119
  <=> c3_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f841,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2991,plain,
    ( ~ c1_1(a794)
    | spl0_118
    | ~ spl0_119
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2980,f784]) ).

fof(f784,plain,
    ( ~ c0_1(a794)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f2980,plain,
    ( c0_1(a794)
    | ~ c1_1(a794)
    | ~ spl0_119
    | ~ spl0_129 ),
    inference(resolution,[],[f842,f789]) ).

fof(f789,plain,
    ( c3_1(a794)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f842,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f2990,plain,
    ( spl0_172
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2989,f841,f252,f237,f1933]) ).

fof(f1933,plain,
    ( spl0_172
  <=> c0_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f237,plain,
    ( spl0_9
  <=> c1_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f252,plain,
    ( spl0_12
  <=> c3_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2989,plain,
    ( c0_1(a803)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2977,f239]) ).

fof(f239,plain,
    ( c1_1(a803)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f2977,plain,
    ( c0_1(a803)
    | ~ c1_1(a803)
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(resolution,[],[f842,f254]) ).

fof(f254,plain,
    ( c3_1(a803)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f2988,plain,
    ( spl0_84
    | ~ spl0_86
    | ~ spl0_129
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2987]) ).

fof(f2987,plain,
    ( $false
    | spl0_84
    | ~ spl0_86
    | ~ spl0_129
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2986,f624]) ).

fof(f624,plain,
    ( c1_1(a833)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f622,plain,
    ( spl0_86
  <=> c1_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2986,plain,
    ( ~ c1_1(a833)
    | spl0_84
    | ~ spl0_129
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2972,f614]) ).

fof(f614,plain,
    ( ~ c0_1(a833)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f612,plain,
    ( spl0_84
  <=> c0_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2972,plain,
    ( c0_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_129
    | ~ spl0_155 ),
    inference(resolution,[],[f842,f1149]) ).

fof(f1149,plain,
    ( c3_1(a833)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1147,plain,
    ( spl0_155
  <=> c3_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2985,plain,
    ( ~ spl0_160
    | spl0_57
    | ~ spl0_64
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2984,f841,f512,f477,f1245]) ).

fof(f1245,plain,
    ( spl0_160
  <=> c1_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f477,plain,
    ( spl0_57
  <=> c0_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f512,plain,
    ( spl0_64
  <=> c3_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2984,plain,
    ( ~ c1_1(a869)
    | spl0_57
    | ~ spl0_64
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2969,f479]) ).

fof(f479,plain,
    ( ~ c0_1(a869)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f2969,plain,
    ( c0_1(a869)
    | ~ c1_1(a869)
    | ~ spl0_64
    | ~ spl0_129 ),
    inference(resolution,[],[f842,f514]) ).

fof(f514,plain,
    ( c3_1(a869)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f2983,plain,
    ( spl0_170
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2982,f841,f817,f807,f1735]) ).

fof(f1735,plain,
    ( spl0_170
  <=> c0_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f807,plain,
    ( spl0_123
  <=> c1_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f817,plain,
    ( spl0_125
  <=> c3_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2982,plain,
    ( c0_1(a797)
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2967,f809]) ).

fof(f809,plain,
    ( c1_1(a797)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f2967,plain,
    ( c0_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_125
    | ~ spl0_129 ),
    inference(resolution,[],[f842,f819]) ).

fof(f819,plain,
    ( c3_1(a797)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f2965,plain,
    ( ~ spl0_171
    | ~ spl0_109
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2955,f961,f949,f737,f1827]) ).

fof(f1827,plain,
    ( spl0_171
  <=> c2_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f737,plain,
    ( spl0_109
  <=> c1_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f949,plain,
    ( spl0_151
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f961,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2955,plain,
    ( ~ c2_1(a806)
    | ~ spl0_109
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(resolution,[],[f2927,f739]) ).

fof(f739,plain,
    ( c1_1(a806)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f2927,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f962,f950]) ).

fof(f950,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f962,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f2961,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2960]) ).

fof(f2960,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2951,f814]) ).

fof(f814,plain,
    ( c2_1(a797)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_124
  <=> c2_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2951,plain,
    ( ~ c2_1(a797)
    | ~ spl0_123
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(resolution,[],[f2927,f809]) ).

fof(f2959,plain,
    ( ~ spl0_60
    | ~ spl0_61
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2958]) ).

fof(f2958,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_61
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2950,f499]) ).

fof(f499,plain,
    ( c2_1(a829)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl0_61
  <=> c2_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2950,plain,
    ( ~ c2_1(a829)
    | ~ spl0_60
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(resolution,[],[f2927,f494]) ).

fof(f494,plain,
    ( c1_1(a829)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f492,plain,
    ( spl0_60
  <=> c1_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2957,plain,
    ( ~ spl0_168
    | ~ spl0_41
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2949,f961,f949,f397,f1658]) ).

fof(f1658,plain,
    ( spl0_168
  <=> c2_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f397,plain,
    ( spl0_41
  <=> c1_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2949,plain,
    ( ~ c2_1(a867)
    | ~ spl0_41
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(resolution,[],[f2927,f399]) ).

fof(f399,plain,
    ( c1_1(a867)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f2948,plain,
    ( spl0_170
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2947,f949,f812,f807,f1735]) ).

fof(f2947,plain,
    ( c0_1(a797)
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2946,f809]) ).

fof(f2946,plain,
    ( c0_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_124
    | ~ spl0_151 ),
    inference(resolution,[],[f814,f950]) ).

fof(f2935,plain,
    ( ~ spl0_39
    | spl0_36
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2932,f949,f407,f372,f387]) ).

fof(f387,plain,
    ( spl0_39
  <=> c1_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f372,plain,
    ( spl0_36
  <=> c0_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f407,plain,
    ( spl0_43
  <=> c2_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2932,plain,
    ( ~ c1_1(a809)
    | spl0_36
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2931,f374]) ).

fof(f374,plain,
    ( ~ c0_1(a809)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f2931,plain,
    ( c0_1(a809)
    | ~ c1_1(a809)
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(resolution,[],[f409,f950]) ).

fof(f409,plain,
    ( c2_1(a809)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f2923,plain,
    ( spl0_105
    | spl0_108
    | ~ spl0_110
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2922,f860,f742,f732,f717]) ).

fof(f717,plain,
    ( spl0_105
  <=> c3_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f732,plain,
    ( spl0_108
  <=> c0_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f742,plain,
    ( spl0_110
  <=> c1_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f860,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2922,plain,
    ( c3_1(a814)
    | spl0_108
    | ~ spl0_110
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2727,f734]) ).

fof(f734,plain,
    ( ~ c0_1(a814)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f2727,plain,
    ( c0_1(a814)
    | c3_1(a814)
    | ~ spl0_110
    | ~ spl0_133 ),
    inference(resolution,[],[f744,f861]) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f744,plain,
    ( c1_1(a814)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f2917,plain,
    ( spl0_158
    | spl0_83
    | ~ spl0_85
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2916,f860,f617,f607,f1182]) ).

fof(f1182,plain,
    ( spl0_158
  <=> c0_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f607,plain,
    ( spl0_83
  <=> c3_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f617,plain,
    ( spl0_85
  <=> c1_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2916,plain,
    ( c0_1(a805)
    | spl0_83
    | ~ spl0_85
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2724,f609]) ).

fof(f609,plain,
    ( ~ c3_1(a805)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f2724,plain,
    ( c0_1(a805)
    | c3_1(a805)
    | ~ spl0_85
    | ~ spl0_133 ),
    inference(resolution,[],[f619,f861]) ).

fof(f619,plain,
    ( c1_1(a805)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f2913,plain,
    ( spl0_155
    | spl0_84
    | ~ spl0_86
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2912,f860,f622,f612,f1147]) ).

fof(f2912,plain,
    ( c3_1(a833)
    | spl0_84
    | ~ spl0_86
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2433,f614]) ).

fof(f2433,plain,
    ( c0_1(a833)
    | c3_1(a833)
    | ~ spl0_86
    | ~ spl0_133 ),
    inference(resolution,[],[f861,f624]) ).

fof(f2904,plain,
    ( spl0_28
    | spl0_29
    | spl0_33
    | ~ spl0_134
    | ~ spl0_137
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2903]) ).

fof(f2903,plain,
    ( $false
    | spl0_28
    | spl0_29
    | spl0_33
    | ~ spl0_134
    | ~ spl0_137
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2902,f334]) ).

fof(f334,plain,
    ( ~ c1_1(a828)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl0_28
  <=> c1_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2902,plain,
    ( c1_1(a828)
    | spl0_29
    | spl0_33
    | ~ spl0_134
    | ~ spl0_137
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2896,f2487]) ).

fof(f2487,plain,
    ( c0_1(a828)
    | spl0_33
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(resolution,[],[f2464,f359]) ).

fof(f359,plain,
    ( ~ c3_1(a828)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl0_33
  <=> c3_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2464,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f879,f865]) ).

fof(f865,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f879,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f878,plain,
    ( spl0_137
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2896,plain,
    ( ~ c0_1(a828)
    | c1_1(a828)
    | spl0_29
    | ~ spl0_144 ),
    inference(resolution,[],[f909,f339]) ).

fof(f339,plain,
    ( ~ c2_1(a828)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl0_29
  <=> c2_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f909,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f908,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2850,plain,
    ( ~ spl0_47
    | ~ spl0_45
    | ~ spl0_142
    | spl0_168 ),
    inference(avatar_split_clause,[],[f2849,f1658,f900,f417,f427]) ).

fof(f427,plain,
    ( spl0_47
  <=> c0_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f417,plain,
    ( spl0_45
  <=> c3_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f900,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2849,plain,
    ( ~ c0_1(a867)
    | ~ spl0_45
    | ~ spl0_142
    | spl0_168 ),
    inference(subsumption_resolution,[],[f2752,f419]) ).

fof(f419,plain,
    ( c3_1(a867)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f2752,plain,
    ( ~ c3_1(a867)
    | ~ c0_1(a867)
    | ~ spl0_142
    | spl0_168 ),
    inference(resolution,[],[f901,f1659]) ).

fof(f1659,plain,
    ( ~ c2_1(a867)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1658]) ).

fof(f901,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f2835,plain,
    ( spl0_106
    | ~ spl0_109
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2834]) ).

fof(f2834,plain,
    ( $false
    | spl0_106
    | ~ spl0_109
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2833,f739]) ).

fof(f2833,plain,
    ( ~ c1_1(a806)
    | spl0_106
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2823,f724]) ).

fof(f724,plain,
    ( ~ c3_1(a806)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl0_106
  <=> c3_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2823,plain,
    ( c3_1(a806)
    | ~ c1_1(a806)
    | ~ spl0_153
    | ~ spl0_171 ),
    inference(resolution,[],[f966,f1829]) ).

fof(f1829,plain,
    ( c2_1(a806)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1827]) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f965,plain,
    ( spl0_153
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2829,plain,
    ( ~ spl0_60
    | ~ spl0_61
    | ~ spl0_153
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2828]) ).

fof(f2828,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_61
    | ~ spl0_153
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2827,f494]) ).

fof(f2827,plain,
    ( ~ c1_1(a829)
    | ~ spl0_61
    | ~ spl0_153
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2815,f1455]) ).

fof(f1455,plain,
    ( ~ c3_1(a829)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1453]) ).

fof(f1453,plain,
    ( spl0_161
  <=> c3_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2815,plain,
    ( c3_1(a829)
    | ~ c1_1(a829)
    | ~ spl0_61
    | ~ spl0_153 ),
    inference(resolution,[],[f966,f499]) ).

fof(f2811,plain,
    ( ~ spl0_172
    | spl0_5
    | ~ spl0_9
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2810,f919,f237,f217,f1933]) ).

fof(f217,plain,
    ( spl0_5
  <=> c2_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f919,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2810,plain,
    ( ~ c0_1(a803)
    | spl0_5
    | ~ spl0_9
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2803,f219]) ).

fof(f219,plain,
    ( ~ c2_1(a803)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f2803,plain,
    ( c2_1(a803)
    | ~ c0_1(a803)
    | ~ spl0_9
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f239]) ).

fof(f920,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f2809,plain,
    ( spl0_80
    | ~ spl0_85
    | ~ spl0_146
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2808]) ).

fof(f2808,plain,
    ( $false
    | spl0_80
    | ~ spl0_85
    | ~ spl0_146
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2807,f1184]) ).

fof(f1184,plain,
    ( c0_1(a805)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f2807,plain,
    ( ~ c0_1(a805)
    | spl0_80
    | ~ spl0_85
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2802,f594]) ).

fof(f594,plain,
    ( ~ c2_1(a805)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl0_80
  <=> c2_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f2802,plain,
    ( c2_1(a805)
    | ~ c0_1(a805)
    | ~ spl0_85
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f619]) ).

fof(f2781,plain,
    ( ~ spl0_162
    | spl0_104
    | ~ spl0_112
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2780,f900,f752,f712,f1459]) ).

fof(f1459,plain,
    ( spl0_162
  <=> c3_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f712,plain,
    ( spl0_104
  <=> c2_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f752,plain,
    ( spl0_112
  <=> c0_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2780,plain,
    ( ~ c3_1(a816)
    | spl0_104
    | ~ spl0_112
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2758,f754]) ).

fof(f754,plain,
    ( c0_1(a816)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f2758,plain,
    ( ~ c3_1(a816)
    | ~ c0_1(a816)
    | spl0_104
    | ~ spl0_142 ),
    inference(resolution,[],[f901,f714]) ).

fof(f714,plain,
    ( ~ c2_1(a816)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f2715,plain,
    ( ~ spl0_161
    | ~ spl0_60
    | ~ spl0_65
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2714,f833,f517,f492,f1453]) ).

fof(f517,plain,
    ( spl0_65
  <=> c0_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f833,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2714,plain,
    ( ~ c3_1(a829)
    | ~ spl0_60
    | ~ spl0_65
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2280,f494]) ).

fof(f2280,plain,
    ( ~ c1_1(a829)
    | ~ c3_1(a829)
    | ~ spl0_65
    | ~ spl0_127 ),
    inference(resolution,[],[f834,f519]) ).

fof(f519,plain,
    ( c0_1(a829)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f834,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f2684,plain,
    ( spl0_177
    | spl0_117
    | spl0_118
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2683,f868,f782,f777,f2590]) ).

fof(f777,plain,
    ( spl0_117
  <=> c2_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f868,plain,
    ( spl0_135
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2683,plain,
    ( c1_1(a794)
    | spl0_117
    | spl0_118
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2676,f784]) ).

fof(f2676,plain,
    ( c0_1(a794)
    | c1_1(a794)
    | spl0_117
    | ~ spl0_135 ),
    inference(resolution,[],[f869,f779]) ).

fof(f779,plain,
    ( ~ c2_1(a794)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f869,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f2661,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2660,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2658,f799]) ).

fof(f799,plain,
    ( c0_1(a799)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f797,plain,
    ( spl0_121
  <=> c0_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2658,plain,
    ( ~ c0_1(a799)
    | ~ spl0_120
    | ~ spl0_127
    | ~ spl0_150 ),
    inference(resolution,[],[f794,f2594]) ).

fof(f2594,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f947,f834]) ).

fof(f947,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f946,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f794,plain,
    ( c3_1(a799)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f792,plain,
    ( spl0_120
  <=> c3_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2644,plain,
    ( spl0_77
    | spl0_84
    | ~ spl0_134
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2643]) ).

fof(f2643,plain,
    ( $false
    | spl0_77
    | spl0_84
    | ~ spl0_134
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2629,f614]) ).

fof(f2629,plain,
    ( c0_1(a833)
    | spl0_77
    | ~ spl0_134
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(resolution,[],[f2595,f579]) ).

fof(f579,plain,
    ( ~ c2_1(a833)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl0_77
  <=> c2_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2595,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f883,f2464]) ).

fof(f883,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2619,plain,
    ( ~ spl0_44
    | spl0_25
    | ~ spl0_46
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2080,f938,f422,f317,f412]) ).

fof(f412,plain,
    ( spl0_44
  <=> c2_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f317,plain,
    ( spl0_25
  <=> c1_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f422,plain,
    ( spl0_46
  <=> c3_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f938,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2080,plain,
    ( c1_1(a817)
    | ~ c2_1(a817)
    | ~ spl0_46
    | ~ spl0_149 ),
    inference(resolution,[],[f939,f424]) ).

fof(f424,plain,
    ( c3_1(a817)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f939,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f2472,plain,
    ( ~ spl0_123
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2471]) ).

fof(f2471,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2470,f819]) ).

fof(f2470,plain,
    ( ~ c3_1(a797)
    | ~ spl0_123
    | ~ spl0_127
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2466,f809]) ).

fof(f2466,plain,
    ( ~ c1_1(a797)
    | ~ c3_1(a797)
    | ~ spl0_127
    | ~ spl0_170 ),
    inference(resolution,[],[f1737,f834]) ).

fof(f1737,plain,
    ( c0_1(a797)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1735]) ).

fof(f2469,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | ~ spl0_128
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f2468]) ).

fof(f2468,plain,
    ( $false
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_128
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2467,f819]) ).

fof(f2467,plain,
    ( ~ c3_1(a797)
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_170 ),
    inference(subsumption_resolution,[],[f2465,f814]) ).

fof(f2465,plain,
    ( ~ c2_1(a797)
    | ~ c3_1(a797)
    | ~ spl0_128
    | ~ spl0_170 ),
    inference(resolution,[],[f1737,f838]) ).

fof(f838,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2460,plain,
    ( spl0_175
    | spl0_7
    | ~ spl0_11
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2459,f864,f247,f227,f2222]) ).

fof(f2222,plain,
    ( spl0_175
  <=> c0_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f227,plain,
    ( spl0_7
  <=> c3_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f247,plain,
    ( spl0_11
  <=> c2_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2459,plain,
    ( c0_1(a865)
    | spl0_7
    | ~ spl0_11
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2452,f229]) ).

fof(f229,plain,
    ( ~ c3_1(a865)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f2452,plain,
    ( c0_1(a865)
    | c3_1(a865)
    | ~ spl0_11
    | ~ spl0_134 ),
    inference(resolution,[],[f865,f249]) ).

fof(f249,plain,
    ( c2_1(a865)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f2410,plain,
    ( spl0_171
    | spl0_106
    | ~ spl0_109
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2409,f845,f737,f722,f1827]) ).

fof(f845,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2409,plain,
    ( c2_1(a806)
    | spl0_106
    | ~ spl0_109
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f2408,f724]) ).

fof(f2408,plain,
    ( c3_1(a806)
    | c2_1(a806)
    | ~ spl0_109
    | ~ spl0_130 ),
    inference(resolution,[],[f739,f846]) ).

fof(f846,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f2385,plain,
    ( ~ spl0_48
    | spl0_31
    | ~ spl0_40
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1993,f919,f392,f347,f432]) ).

fof(f432,plain,
    ( spl0_48
  <=> c0_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f347,plain,
    ( spl0_31
  <=> c2_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f392,plain,
    ( spl0_40
  <=> c1_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1993,plain,
    ( c2_1(a825)
    | ~ c0_1(a825)
    | ~ spl0_40
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f394]) ).

fof(f394,plain,
    ( c1_1(a825)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f2346,plain,
    ( ~ spl0_124
    | spl0_170
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2054,f874,f817,f1735,f812]) ).

fof(f874,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2054,plain,
    ( c0_1(a797)
    | ~ c2_1(a797)
    | ~ spl0_125
    | ~ spl0_136 ),
    inference(resolution,[],[f819,f875]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f2250,plain,
    ( spl0_162
    | spl0_104
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2234,f854,f845,f712,f1459]) ).

fof(f854,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2234,plain,
    ( c3_1(a816)
    | spl0_104
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(resolution,[],[f2166,f714]) ).

fof(f2166,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f855,f846]) ).

fof(f855,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f2249,plain,
    ( spl0_8
    | spl0_6
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2231,f854,f845,f222,f232]) ).

fof(f232,plain,
    ( spl0_8
  <=> c3_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f222,plain,
    ( spl0_6
  <=> c2_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2231,plain,
    ( c3_1(a856)
    | spl0_6
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(resolution,[],[f2166,f224]) ).

fof(f224,plain,
    ( ~ c2_1(a856)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f2225,plain,
    ( ~ spl0_175
    | ~ spl0_10
    | spl0_7
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1879,f829,f227,f242,f2222]) ).

fof(f242,plain,
    ( spl0_10
  <=> c1_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f829,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1879,plain,
    ( ~ c1_1(a865)
    | ~ c0_1(a865)
    | spl0_7
    | ~ spl0_126 ),
    inference(resolution,[],[f830,f229]) ).

fof(f830,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f2140,plain,
    ( ~ spl0_87
    | ~ spl0_91
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2139]) ).

fof(f2139,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_91
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2120,f649]) ).

fof(f649,plain,
    ( c3_1(a796)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_91
  <=> c3_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2120,plain,
    ( ~ c3_1(a796)
    | ~ spl0_87
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(resolution,[],[f2110,f629]) ).

fof(f629,plain,
    ( c2_1(a796)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl0_87
  <=> c2_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2110,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f887,f939]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2138,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2137]) ).

fof(f2137,plain,
    ( $false
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2119,f819]) ).

fof(f2119,plain,
    ( ~ c3_1(a797)
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(resolution,[],[f2110,f814]) ).

fof(f2136,plain,
    ( ~ spl0_61
    | ~ spl0_139
    | ~ spl0_149
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_139
    | ~ spl0_149
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2118,f1454]) ).

fof(f1454,plain,
    ( c3_1(a829)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1453]) ).

fof(f2118,plain,
    ( ~ c3_1(a829)
    | ~ spl0_61
    | ~ spl0_139
    | ~ spl0_149 ),
    inference(resolution,[],[f2110,f499]) ).

fof(f2109,plain,
    ( ~ spl0_157
    | spl0_116
    | ~ spl0_120
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2097,f938,f792,f772,f1169]) ).

fof(f1169,plain,
    ( spl0_157
  <=> c2_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f772,plain,
    ( spl0_116
  <=> c1_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2097,plain,
    ( ~ c2_1(a799)
    | spl0_116
    | ~ spl0_120
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2085,f774]) ).

fof(f774,plain,
    ( ~ c1_1(a799)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f2085,plain,
    ( c1_1(a799)
    | ~ c2_1(a799)
    | ~ spl0_120
    | ~ spl0_149 ),
    inference(resolution,[],[f939,f794]) ).

fof(f2102,plain,
    ( spl0_75
    | ~ spl0_88
    | ~ spl0_149
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2101]) ).

fof(f2101,plain,
    ( $false
    | spl0_75
    | ~ spl0_88
    | ~ spl0_149
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2100,f634]) ).

fof(f634,plain,
    ( c2_1(a793)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f632,plain,
    ( spl0_88
  <=> c2_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2100,plain,
    ( ~ c2_1(a793)
    | spl0_75
    | ~ spl0_149
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2087,f569]) ).

fof(f569,plain,
    ( ~ c1_1(a793)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl0_75
  <=> c1_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2087,plain,
    ( c1_1(a793)
    | ~ c2_1(a793)
    | ~ spl0_149
    | ~ spl0_166 ),
    inference(resolution,[],[f939,f1526]) ).

fof(f1526,plain,
    ( c3_1(a793)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1525]) ).

fof(f1525,plain,
    ( spl0_166
  <=> c3_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2047,plain,
    ( spl0_76
    | spl0_79
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2046,plain,
    ( $false
    | spl0_76
    | spl0_79
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2045,f574]) ).

fof(f574,plain,
    ( ~ c1_1(a808)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_76
  <=> c1_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2045,plain,
    ( c1_1(a808)
    | spl0_79
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2037,f659]) ).

fof(f659,plain,
    ( c3_1(a808)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl0_93
  <=> c3_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2037,plain,
    ( ~ c3_1(a808)
    | c1_1(a808)
    | spl0_79
    | ~ spl0_131 ),
    inference(resolution,[],[f851,f589]) ).

fof(f589,plain,
    ( ~ c2_1(a808)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f587,plain,
    ( spl0_79
  <=> c2_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f851,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2031,plain,
    ( spl0_82
    | ~ spl0_95
    | ~ spl0_126
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2030]) ).

fof(f2030,plain,
    ( $false
    | spl0_82
    | ~ spl0_95
    | ~ spl0_126
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2017,f669]) ).

fof(f669,plain,
    ( c0_1(a798)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl0_95
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2017,plain,
    ( ~ c0_1(a798)
    | spl0_82
    | ~ spl0_126
    | ~ spl0_148 ),
    inference(resolution,[],[f2005,f604]) ).

fof(f604,plain,
    ( ~ c3_1(a798)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl0_82
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2005,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_126
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f932,f830]) ).

fof(f932,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl0_148
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2027,plain,
    ( ~ spl0_112
    | ~ spl0_126
    | ~ spl0_148
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2026]) ).

fof(f2026,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_126
    | ~ spl0_148
    | spl0_162 ),
    inference(subsumption_resolution,[],[f2013,f754]) ).

fof(f2013,plain,
    ( ~ c0_1(a816)
    | ~ spl0_126
    | ~ spl0_148
    | spl0_162 ),
    inference(resolution,[],[f2005,f1461]) ).

fof(f1461,plain,
    ( ~ c3_1(a816)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1459]) ).

fof(f2002,plain,
    ( spl0_171
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2001,f919,f757,f737,f1827]) ).

fof(f757,plain,
    ( spl0_113
  <=> c0_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2001,plain,
    ( c2_1(a806)
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1995,f759]) ).

fof(f759,plain,
    ( c0_1(a806)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f1995,plain,
    ( c2_1(a806)
    | ~ c0_1(a806)
    | ~ spl0_109
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f739]) ).

fof(f1983,plain,
    ( spl0_27
    | spl0_34
    | spl0_38
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | spl0_27
    | spl0_34
    | spl0_38
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1981,f329]) ).

fof(f329,plain,
    ( ~ c1_1(a795)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl0_27
  <=> c1_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1981,plain,
    ( c1_1(a795)
    | spl0_34
    | spl0_38
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1971,f384]) ).

fof(f384,plain,
    ( ~ c0_1(a795)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl0_38
  <=> c0_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1971,plain,
    ( c0_1(a795)
    | c1_1(a795)
    | spl0_34
    | ~ spl0_145 ),
    inference(resolution,[],[f913,f364]) ).

fof(f364,plain,
    ( ~ c3_1(a795)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl0_34
  <=> c3_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f913,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl0_145
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1952,plain,
    ( spl0_102
    | spl0_104
    | ~ spl0_112
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1951]) ).

fof(f1951,plain,
    ( $false
    | spl0_102
    | spl0_104
    | ~ spl0_112
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1950,f704]) ).

fof(f704,plain,
    ( ~ c1_1(a816)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl0_102
  <=> c1_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1950,plain,
    ( c1_1(a816)
    | spl0_104
    | ~ spl0_112
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1941,f754]) ).

fof(f1941,plain,
    ( ~ c0_1(a816)
    | c1_1(a816)
    | spl0_104
    | ~ spl0_144 ),
    inference(resolution,[],[f909,f714]) ).

fof(f1929,plain,
    ( spl0_103
    | spl0_107
    | ~ spl0_111
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1928,plain,
    ( $false
    | spl0_103
    | spl0_107
    | ~ spl0_111
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1927,f709]) ).

fof(f709,plain,
    ( ~ c1_1(a800)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f707,plain,
    ( spl0_103
  <=> c1_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1927,plain,
    ( c1_1(a800)
    | spl0_107
    | ~ spl0_111
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1922,f729]) ).

fof(f729,plain,
    ( ~ c0_1(a800)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_107
  <=> c0_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1922,plain,
    ( c0_1(a800)
    | c1_1(a800)
    | ~ spl0_111
    | ~ spl0_143 ),
    inference(resolution,[],[f905,f749]) ).

fof(f749,plain,
    ( c3_1(a800)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f747,plain,
    ( spl0_111
  <=> c3_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f904,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1925,plain,
    ( spl0_160
    | spl0_57
    | ~ spl0_64
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1924,f904,f512,f477,f1245]) ).

fof(f1924,plain,
    ( c1_1(a869)
    | spl0_57
    | ~ spl0_64
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1915,f479]) ).

fof(f1915,plain,
    ( c0_1(a869)
    | c1_1(a869)
    | ~ spl0_64
    | ~ spl0_143 ),
    inference(resolution,[],[f905,f514]) ).

fof(f1910,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | ~ spl0_142
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1909]) ).

fof(f1909,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_142
    | spl0_157 ),
    inference(subsumption_resolution,[],[f1908,f799]) ).

fof(f1908,plain,
    ( ~ c0_1(a799)
    | ~ spl0_120
    | ~ spl0_142
    | spl0_157 ),
    inference(subsumption_resolution,[],[f1902,f794]) ).

fof(f1902,plain,
    ( ~ c3_1(a799)
    | ~ c0_1(a799)
    | ~ spl0_142
    | spl0_157 ),
    inference(resolution,[],[f901,f1171]) ).

fof(f1171,plain,
    ( ~ c2_1(a799)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1873,plain,
    ( spl0_35
    | ~ spl0_42
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1872]) ).

fof(f1872,plain,
    ( $false
    | spl0_35
    | ~ spl0_42
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1866,f369]) ).

fof(f369,plain,
    ( ~ c0_1(a802)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl0_35
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1866,plain,
    ( c0_1(a802)
    | ~ spl0_42
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(resolution,[],[f1821,f404]) ).

fof(f404,plain,
    ( c2_1(a802)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl0_42
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1821,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f865,f875]) ).

fof(f1849,plain,
    ( spl0_107
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1848,plain,
    ( $false
    | spl0_107
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1842,f729]) ).

fof(f1842,plain,
    ( c0_1(a800)
    | ~ spl0_111
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(resolution,[],[f1820,f749]) ).

fof(f1820,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f883,f875]) ).

fof(f1847,plain,
    ( spl0_56
    | ~ spl0_63
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1846]) ).

fof(f1846,plain,
    ( $false
    | spl0_56
    | ~ spl0_63
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1836,f474]) ).

fof(f474,plain,
    ( ~ c0_1(a840)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl0_56
  <=> c0_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1836,plain,
    ( c0_1(a840)
    | ~ spl0_63
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(resolution,[],[f1820,f509]) ).

fof(f509,plain,
    ( c3_1(a840)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_63
  <=> c3_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1816,plain,
    ( ~ spl0_62
    | spl0_57
    | ~ spl0_64
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1808,f874,f512,f477,f502]) ).

fof(f502,plain,
    ( spl0_62
  <=> c2_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1808,plain,
    ( c0_1(a869)
    | ~ c2_1(a869)
    | ~ spl0_64
    | ~ spl0_136 ),
    inference(resolution,[],[f514,f875]) ).

fof(f1815,plain,
    ( spl0_106
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_130
    | ~ spl0_140
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1814,f926,f891,f845,f757,f737,f722]) ).

fof(f891,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f926,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1814,plain,
    ( c3_1(a806)
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_130
    | ~ spl0_140
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1789,f1552]) ).

fof(f1552,plain,
    ( c2_1(a806)
    | ~ spl0_109
    | ~ spl0_130
    | ~ spl0_147 ),
    inference(resolution,[],[f739,f1134]) ).

fof(f1134,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_130
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f927,f846]) ).

fof(f927,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f1789,plain,
    ( c3_1(a806)
    | ~ c2_1(a806)
    | ~ spl0_113
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f759]) ).

fof(f892,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f1807,plain,
    ( spl0_166
    | ~ spl0_88
    | ~ spl0_96
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1806,f891,f672,f632,f1525]) ).

fof(f672,plain,
    ( spl0_96
  <=> c0_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1806,plain,
    ( c3_1(a793)
    | ~ spl0_88
    | ~ spl0_96
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1792,f634]) ).

fof(f1792,plain,
    ( c3_1(a793)
    | ~ c2_1(a793)
    | ~ spl0_96
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f674]) ).

fof(f674,plain,
    ( c0_1(a793)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f1805,plain,
    ( spl0_82
    | ~ spl0_89
    | ~ spl0_95
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1804,f891,f667,f637,f602]) ).

fof(f637,plain,
    ( spl0_89
  <=> c2_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1804,plain,
    ( c3_1(a798)
    | ~ spl0_89
    | ~ spl0_95
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1791,f639]) ).

fof(f639,plain,
    ( c2_1(a798)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f1791,plain,
    ( c3_1(a798)
    | ~ c2_1(a798)
    | ~ spl0_95
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f669]) ).

fof(f1794,plain,
    ( spl0_161
    | ~ spl0_61
    | ~ spl0_65
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1793,f891,f517,f497,f1453]) ).

fof(f1793,plain,
    ( c3_1(a829)
    | ~ spl0_61
    | ~ spl0_65
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1780,f499]) ).

fof(f1780,plain,
    ( c3_1(a829)
    | ~ c2_1(a829)
    | ~ spl0_65
    | ~ spl0_140 ),
    inference(resolution,[],[f892,f519]) ).

fof(f1767,plain,
    ( ~ spl0_60
    | ~ spl0_65
    | ~ spl0_126
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1766]) ).

fof(f1766,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_65
    | ~ spl0_126
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1765,f519]) ).

fof(f1765,plain,
    ( ~ c0_1(a829)
    | ~ spl0_60
    | ~ spl0_126
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1746,f494]) ).

fof(f1746,plain,
    ( ~ c1_1(a829)
    | ~ c0_1(a829)
    | ~ spl0_126
    | spl0_161 ),
    inference(resolution,[],[f830,f1455]) ).

fof(f1742,plain,
    ( spl0_54
    | spl0_55
    | spl0_58
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1741]) ).

fof(f1741,plain,
    ( $false
    | spl0_54
    | spl0_55
    | spl0_58
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1740,f469]) ).

fof(f469,plain,
    ( ~ c3_1(a807)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f467,plain,
    ( spl0_55
  <=> c3_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1740,plain,
    ( c3_1(a807)
    | spl0_54
    | spl0_58
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1733,f484]) ).

fof(f484,plain,
    ( ~ c0_1(a807)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_58
  <=> c0_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1733,plain,
    ( c0_1(a807)
    | c3_1(a807)
    | spl0_54
    | ~ spl0_137 ),
    inference(resolution,[],[f879,f464]) ).

fof(f464,plain,
    ( ~ c2_1(a807)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_54
  <=> c2_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1708,plain,
    ( ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1707]) ).

fof(f1707,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_45
    | ~ spl0_47
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1706,f419]) ).

fof(f1706,plain,
    ( ~ c3_1(a867)
    | ~ spl0_41
    | ~ spl0_47
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1693,f399]) ).

fof(f1693,plain,
    ( ~ c1_1(a867)
    | ~ c3_1(a867)
    | ~ spl0_47
    | ~ spl0_127 ),
    inference(resolution,[],[f834,f429]) ).

fof(f429,plain,
    ( c0_1(a867)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1653,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_119
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | spl0_117
    | spl0_118
    | ~ spl0_119
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1651,f779]) ).

fof(f1651,plain,
    ( c2_1(a794)
    | spl0_118
    | ~ spl0_119
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1645,f784]) ).

fof(f1645,plain,
    ( c0_1(a794)
    | c2_1(a794)
    | ~ spl0_119
    | ~ spl0_138 ),
    inference(resolution,[],[f883,f789]) ).

fof(f1611,plain,
    ( spl0_56
    | ~ spl0_59
    | ~ spl0_63
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1610]) ).

fof(f1610,plain,
    ( $false
    | spl0_56
    | ~ spl0_59
    | ~ spl0_63
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1609,f489]) ).

fof(f489,plain,
    ( c1_1(a840)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl0_59
  <=> c1_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1609,plain,
    ( ~ c1_1(a840)
    | spl0_56
    | ~ spl0_63
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1602,f474]) ).

fof(f1602,plain,
    ( c0_1(a840)
    | ~ c1_1(a840)
    | ~ spl0_63
    | ~ spl0_129 ),
    inference(resolution,[],[f842,f509]) ).

fof(f1594,plain,
    ( ~ spl0_158
    | ~ spl0_85
    | spl0_83
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1583,f829,f607,f617,f1182]) ).

fof(f1583,plain,
    ( ~ c1_1(a805)
    | ~ c0_1(a805)
    | spl0_83
    | ~ spl0_126 ),
    inference(resolution,[],[f830,f609]) ).

fof(f1593,plain,
    ( spl0_106
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | spl0_106
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1591,f759]) ).

fof(f1591,plain,
    ( ~ c0_1(a806)
    | spl0_106
    | ~ spl0_109
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1582,f739]) ).

fof(f1582,plain,
    ( ~ c1_1(a806)
    | ~ c0_1(a806)
    | spl0_106
    | ~ spl0_126 ),
    inference(resolution,[],[f830,f724]) ).

fof(f1521,plain,
    ( ~ spl0_60
    | ~ spl0_65
    | ~ spl0_130
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1520,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_65
    | ~ spl0_130
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1517,f519]) ).

fof(f1517,plain,
    ( ~ c0_1(a829)
    | ~ spl0_60
    | ~ spl0_130
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(resolution,[],[f494,f1443]) ).

fof(f1443,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_130
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f962,f1134]) ).

fof(f1456,plain,
    ( ~ spl0_161
    | ~ spl0_61
    | ~ spl0_65
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1110,f837,f517,f497,f1453]) ).

fof(f1110,plain,
    ( ~ c2_1(a829)
    | ~ c3_1(a829)
    | ~ spl0_65
    | ~ spl0_128 ),
    inference(resolution,[],[f519,f838]) ).

fof(f1450,plain,
    ( ~ spl0_123
    | ~ spl0_125
    | ~ spl0_130
    | ~ spl0_139
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1449,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_130
    | ~ spl0_139
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1445,f819]) ).

fof(f1445,plain,
    ( ~ c3_1(a797)
    | ~ spl0_123
    | ~ spl0_130
    | ~ spl0_139
    | ~ spl0_147 ),
    inference(resolution,[],[f809,f1417]) ).

fof(f1417,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_139
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f887,f1134]) ).

fof(f1378,plain,
    ( spl0_74
    | spl0_81
    | ~ spl0_90
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1377]) ).

fof(f1377,plain,
    ( $false
    | spl0_74
    | spl0_81
    | ~ spl0_90
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1376,f564]) ).

fof(f564,plain,
    ( ~ c1_1(a832)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl0_74
  <=> c1_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1376,plain,
    ( c1_1(a832)
    | spl0_81
    | ~ spl0_90
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1368,f599]) ).

fof(f599,plain,
    ( ~ c3_1(a832)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_81
  <=> c3_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1368,plain,
    ( c3_1(a832)
    | c1_1(a832)
    | ~ spl0_90
    | ~ spl0_141 ),
    inference(resolution,[],[f896,f644]) ).

fof(f644,plain,
    ( c2_1(a832)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl0_90
  <=> c2_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f896,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1317,plain,
    ( spl0_38
    | spl0_34
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1314,f878,f864,f362,f382]) ).

fof(f1314,plain,
    ( c0_1(a795)
    | spl0_34
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(resolution,[],[f1266,f364]) ).

fof(f1266,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f865,f879]) ).

fof(f1185,plain,
    ( spl0_83
    | spl0_158
    | spl0_80
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1178,f878,f592,f1182,f607]) ).

fof(f1178,plain,
    ( c0_1(a805)
    | c3_1(a805)
    | spl0_80
    | ~ spl0_137 ),
    inference(resolution,[],[f879,f594]) ).

fof(f1162,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | ~ spl0_128
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1161,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_128
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1157,f799]) ).

fof(f1157,plain,
    ( ~ c0_1(a799)
    | ~ spl0_120
    | ~ spl0_128
    | ~ spl0_142 ),
    inference(resolution,[],[f1151,f794]) ).

fof(f1151,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f901,f838]) ).

fof(f1150,plain,
    ( spl0_77
    | spl0_155
    | ~ spl0_86
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1056,f845,f622,f1147,f577]) ).

fof(f1056,plain,
    ( c3_1(a833)
    | c2_1(a833)
    | ~ spl0_86
    | ~ spl0_130 ),
    inference(resolution,[],[f846,f624]) ).

fof(f1145,plain,
    ( spl0_77
    | ~ spl0_86
    | ~ spl0_130
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1137,f926,f845,f622,f577]) ).

fof(f1137,plain,
    ( c2_1(a833)
    | ~ spl0_86
    | ~ spl0_130
    | ~ spl0_147 ),
    inference(resolution,[],[f1134,f624]) ).

fof(f1144,plain,
    ( spl0_5
    | ~ spl0_9
    | ~ spl0_130
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1139,f926,f845,f237,f217]) ).

fof(f1139,plain,
    ( c2_1(a803)
    | ~ spl0_9
    | ~ spl0_130
    | ~ spl0_147 ),
    inference(resolution,[],[f1134,f239]) ).

fof(f1129,plain,
    ( spl0_105
    | spl0_108
    | ~ spl0_110
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1128]) ).

fof(f1128,plain,
    ( $false
    | spl0_105
    | spl0_108
    | ~ spl0_110
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1127,f719]) ).

fof(f719,plain,
    ( ~ c3_1(a814)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f1127,plain,
    ( c3_1(a814)
    | spl0_105
    | spl0_108
    | ~ spl0_110
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1118,f734]) ).

fof(f1118,plain,
    ( c0_1(a814)
    | c3_1(a814)
    | spl0_105
    | ~ spl0_110
    | ~ spl0_130
    | ~ spl0_134 ),
    inference(resolution,[],[f865,f1061]) ).

fof(f1061,plain,
    ( c2_1(a814)
    | spl0_105
    | ~ spl0_110
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1057,f719]) ).

fof(f1057,plain,
    ( c3_1(a814)
    | c2_1(a814)
    | ~ spl0_110
    | ~ spl0_130 ),
    inference(resolution,[],[f846,f744]) ).

fof(f1108,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1107,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1100,f1009]) ).

fof(f1009,plain,
    ( ~ c2_1(a799)
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1004,f794]) ).

fof(f1004,plain,
    ( ~ c2_1(a799)
    | ~ c3_1(a799)
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(resolution,[],[f838,f799]) ).

fof(f1100,plain,
    ( c2_1(a799)
    | ~ spl0_121
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_144 ),
    inference(resolution,[],[f1096,f799]) ).

fof(f1096,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f909,f1024]) ).

fof(f1024,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f830,f834]) ).

fof(f1095,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1094]) ).

fof(f1094,plain,
    ( $false
    | spl0_54
    | spl0_55
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1093,f469]) ).

fof(f1093,plain,
    ( c3_1(a807)
    | spl0_54
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(resolution,[],[f1083,f464]) ).

fof(f1083,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f855,f846]) ).

fof(f1081,plain,
    ( spl0_116
    | ~ spl0_120
    | ~ spl0_128
    | ~ spl0_131
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1080]) ).

fof(f1080,plain,
    ( $false
    | spl0_116
    | ~ spl0_120
    | ~ spl0_128
    | ~ spl0_131
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1075,f774]) ).

fof(f1075,plain,
    ( c1_1(a799)
    | ~ spl0_120
    | ~ spl0_128
    | ~ spl0_131
    | ~ spl0_136 ),
    inference(resolution,[],[f1068,f794]) ).

fof(f1068,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_128
    | ~ spl0_131
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f851,f1035]) ).

fof(f1035,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_128
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f875,f838]) ).

fof(f1066,plain,
    ( spl0_83
    | spl0_80
    | ~ spl0_85
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1065,f845,f617,f592,f607]) ).

fof(f1065,plain,
    ( c3_1(a805)
    | spl0_80
    | ~ spl0_85
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1058,f594]) ).

fof(f1058,plain,
    ( c3_1(a805)
    | c2_1(a805)
    | ~ spl0_85
    | ~ spl0_130 ),
    inference(resolution,[],[f846,f619]) ).

fof(f1021,plain,
    ( ~ spl0_123
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1014,f809]) ).

fof(f1014,plain,
    ( ~ c1_1(a797)
    | ~ spl0_125
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(resolution,[],[f1013,f819]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f842,f834]) ).

fof(f1008,plain,
    ( ~ spl0_87
    | ~ spl0_91
    | ~ spl0_94
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_91
    | ~ spl0_94
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1006,f649]) ).

fof(f1006,plain,
    ( ~ c3_1(a796)
    | ~ spl0_87
    | ~ spl0_94
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1002,f629]) ).

fof(f1002,plain,
    ( ~ c2_1(a796)
    | ~ c3_1(a796)
    | ~ spl0_94
    | ~ spl0_128 ),
    inference(resolution,[],[f838,f664]) ).

fof(f664,plain,
    ( c0_1(a796)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_94
  <=> c0_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f979,plain,
    ( spl0_137
    | spl0_148
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f198,f850,f931,f878]) ).

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

fof(f186,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f978,plain,
    ( spl0_137
    | spl0_135
    | spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f198,f965,f868,f878]) ).

fof(f185,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f977,plain,
    ( spl0_142
    | spl0_140
    | spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f198,f845,f891,f900]) ).

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

fof(f972,plain,
    ( spl0_145
    | spl0_141
    | spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f198,f949,f895,f912]) ).

fof(f187,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f971,plain,
    ( spl0_138
    | spl0_140
    | spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f198,f949,f891,f882]) ).

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

fof(f970,plain,
    ( spl0_128
    | spl0_149
    | spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f198,f860,f938,f837]) ).

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

fof(f969,plain,
    ( spl0_137
    | spl0_126
    | spl0_129
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f198,f841,f829,f878]) ).

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

fof(f968,plain,
    ( spl0_134
    | spl0_126
    | spl0_147
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f198,f926,f829,f864]) ).

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

fof(f967,plain,
    ( spl0_138
    | spl0_129
    | spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f198,f965,f841,f882]) ).

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

fof(f963,plain,
    ( spl0_136
    | spl0_152
    | spl0_127
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f198,f833,f961,f874]) ).

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

fof(f959,plain,
    ( spl0_146
    | spl0_151
    | spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f198,f845,f949,f919]) ).

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

fof(f958,plain,
    ( spl0_142
    | spl0_146
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f198,f802,f919,f900]) ).

fof(f802,plain,
    ( spl0_122
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f957,plain,
    ( spl0_149
    | spl0_127
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f198,f802,f833,f938]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f956,plain,
    ( spl0_143
    | spl0_141
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f198,f767,f895,f904]) ).

fof(f767,plain,
    ( spl0_115
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f954,plain,
    ( spl0_138
    | spl0_146
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f198,f687,f919,f882]) ).

fof(f687,plain,
    ( spl0_99
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f953,plain,
    ( spl0_134
    | spl0_129
    | spl0_101
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f198,f697,f841,f864]) ).

fof(f697,plain,
    ( spl0_101
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f951,plain,
    ( spl0_150
    | spl0_151
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f198,f692,f949,f946]) ).

fof(f692,plain,
    ( spl0_100
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

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

fof(f944,plain,
    ( spl0_140
    | spl0_127
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f198,f682,f833,f891]) ).

fof(f682,plain,
    ( spl0_98
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f941,plain,
    ( spl0_132
    | spl0_147
    | spl0_68
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f198,f532,f926,f854]) ).

fof(f532,plain,
    ( spl0_68
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f940,plain,
    ( spl0_149
    | spl0_129
    | spl0_69
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f198,f537,f841,f938]) ).

fof(f537,plain,
    ( spl0_69
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f936,plain,
    ( spl0_130
    | spl0_133
    | spl0_73
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f198,f557,f860,f845]) ).

fof(f557,plain,
    ( spl0_73
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f935,plain,
    ( spl0_132
    | spl0_144
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f198,f447,f908,f854]) ).

fof(f447,plain,
    ( spl0_51
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f934,plain,
    ( spl0_144
    | spl0_130
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f198,f447,f845,f908]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f933,plain,
    ( spl0_148
    | spl0_127
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f198,f442,f833,f931]) ).

fof(f442,plain,
    ( spl0_50
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f929,plain,
    ( spl0_138
    | spl0_134
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f198,f292,f864,f882]) ).

fof(f292,plain,
    ( spl0_20
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f928,plain,
    ( spl0_143
    | spl0_147
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f198,f272,f926,f904]) ).

fof(f272,plain,
    ( spl0_16
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f924,plain,
    ( spl0_134
    | spl0_139
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f198,f287,f886,f864]) ).

fof(f287,plain,
    ( spl0_19
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f923,plain,
    ( spl0_130
    | spl0_127
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f198,f292,f833,f845]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f922,plain,
    ( spl0_143
    | spl0_139
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f198,f207,f886,f904]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f921,plain,
    ( spl0_146
    | spl0_122
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f198,f767,f802,f919]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | hskp28
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f917,plain,
    ( spl0_130
    | spl0_114
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f198,f692,f762,f845]) ).

fof(f762,plain,
    ( spl0_114
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp1
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f916,plain,
    ( spl0_145
    | spl0_122
    | spl0_72
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f198,f552,f802,f912]) ).

fof(f552,plain,
    ( spl0_72
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp27
      | hskp28
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f915,plain,
    ( spl0_130
    | spl0_122
    | spl0_68
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f198,f532,f802,f845]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp28
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f914,plain,
    ( spl0_145
    | spl0_115
    | spl0_73
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f134,f198,f557,f767,f912]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f910,plain,
    ( spl0_144
    | spl0_114
    | spl0_66
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f198,f522,f762,f908]) ).

fof(f522,plain,
    ( spl0_66
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp1
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f906,plain,
    ( spl0_143
    | spl0_115
    | spl0_69
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f198,f537,f767,f904]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp4
      | ~ c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f902,plain,
    ( spl0_142
    | spl0_99
    | spl0_66
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f198,f522,f687,f900]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp9
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f880,plain,
    ( spl0_137
    | spl0_99
    | spl0_53
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f198,f457,f687,f878]) ).

fof(f457,plain,
    ( spl0_53
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp9
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f876,plain,
    ( spl0_136
    | spl0_99
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f198,f447,f687,f874]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp9
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f872,plain,
    ( spl0_127
    | spl0_101
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f198,f442,f697,f833]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f871,plain,
    ( spl0_128
    | spl0_71
    | spl0_52
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f198,f452,f547,f837]) ).

fof(f547,plain,
    ( spl0_71
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f452,plain,
    ( spl0_52
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp26
      | hskp11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f858,plain,
    ( spl0_129
    | spl0_101
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f198,f282,f697,f841]) ).

fof(f282,plain,
    ( spl0_18
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f856,plain,
    ( spl0_132
    | spl0_66
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f198,f277,f522,f854]) ).

fof(f277,plain,
    ( spl0_17
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp20
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f848,plain,
    ( spl0_128
    | spl0_66
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f198,f267,f522,f837]) ).

fof(f267,plain,
    ( spl0_15
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp20
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f847,plain,
    ( spl0_130
    | spl0_69
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f198,f302,f537,f845]) ).

fof(f302,plain,
    ( spl0_22
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp8
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f843,plain,
    ( spl0_129
    | spl0_67
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f198,f302,f527,f841]) ).

fof(f527,plain,
    ( spl0_67
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f835,plain,
    ( spl0_127
    | spl0_114
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f198,f202,f762,f833]) ).

fof(f202,plain,
    ( spl0_2
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp1
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f831,plain,
    ( spl0_126
    | spl0_100
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f198,f212,f692,f829]) ).

fof(f212,plain,
    ( spl0_4
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp13
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f826,plain,
    ( spl0_115
    | spl0_98
    | spl0_52 ),
    inference(avatar_split_clause,[],[f36,f452,f682,f767]) ).

fof(f36,axiom,
    ( hskp26
    | hskp5
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f825,plain,
    ( spl0_122
    | spl0_69
    | spl0_53 ),
    inference(avatar_split_clause,[],[f37,f457,f537,f802]) ).

fof(f37,axiom,
    ( hskp10
    | hskp8
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f823,plain,
    ( spl0_99
    | spl0_73
    | spl0_52 ),
    inference(avatar_split_clause,[],[f33,f452,f557,f687]) ).

fof(f33,axiom,
    ( hskp26
    | hskp3
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f820,plain,
    ( spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f47,f802,f817]) ).

fof(f47,axiom,
    ( ~ hskp28
    | c3_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f815,plain,
    ( spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f46,f802,f812]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c2_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f810,plain,
    ( spl0_123
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f45,f802,f807]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c1_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f800,plain,
    ( spl0_121
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f79,f767,f797]) ).

fof(f79,axiom,
    ( ~ hskp4
    | c0_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f795,plain,
    ( spl0_120
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f80,f767,f792]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c3_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f790,plain,
    ( spl0_119
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f83,f762,f787]) ).

fof(f83,axiom,
    ( ~ hskp1
    | c3_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f785,plain,
    ( ~ spl0_118
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f129,f762,f782]) ).

fof(f129,axiom,
    ( ~ hskp1
    | ~ c0_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f780,plain,
    ( ~ spl0_117
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f130,f762,f777]) ).

fof(f130,axiom,
    ( ~ hskp1
    | ~ c2_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f775,plain,
    ( ~ spl0_116
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f124,f767,f772]) ).

fof(f124,axiom,
    ( ~ hskp4
    | ~ c1_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f770,plain,
    ( spl0_1
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f27,f767,f198]) ).

fof(f27,axiom,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f760,plain,
    ( spl0_113
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f72,f687,f757]) ).

fof(f72,axiom,
    ( ~ hskp9
    | c0_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f755,plain,
    ( spl0_112
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f67,f697,f752]) ).

fof(f67,axiom,
    ( ~ hskp14
    | c0_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f750,plain,
    ( spl0_111
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f78,f682,f747]) ).

fof(f78,axiom,
    ( ~ hskp5
    | c3_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f745,plain,
    ( spl0_110
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f68,f692,f742]) ).

fof(f68,axiom,
    ( ~ hskp13
    | c1_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f740,plain,
    ( spl0_109
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f73,f687,f737]) ).

fof(f73,axiom,
    ( ~ hskp9
    | c1_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f735,plain,
    ( ~ spl0_108
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f108,f692,f732]) ).

fof(f108,axiom,
    ( ~ hskp13
    | ~ c0_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f730,plain,
    ( ~ spl0_107
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f122,f682,f727]) ).

fof(f122,axiom,
    ( ~ hskp5
    | ~ c0_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f725,plain,
    ( ~ spl0_106
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f116,f687,f722]) ).

fof(f116,axiom,
    ( ~ hskp9
    | ~ c3_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f720,plain,
    ( ~ spl0_105
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f109,f692,f717]) ).

fof(f109,axiom,
    ( ~ hskp13
    | ~ c3_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f715,plain,
    ( ~ spl0_104
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f107,f697,f712]) ).

fof(f107,axiom,
    ( ~ hskp14
    | ~ c2_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f710,plain,
    ( ~ spl0_103
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f123,f682,f707]) ).

fof(f123,axiom,
    ( ~ hskp5
    | ~ c1_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f705,plain,
    ( ~ spl0_102
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f106,f697,f702]) ).

fof(f106,axiom,
    ( ~ hskp14
    | ~ c1_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f685,plain,
    ( spl0_1
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f26,f682,f198]) ).

fof(f26,axiom,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

fof(f675,plain,
    ( spl0_96
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f84,f527,f672]) ).

fof(f84,axiom,
    ( ~ hskp0
    | c0_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f670,plain,
    ( spl0_95
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f81,f557,f667]) ).

fof(f81,axiom,
    ( ~ hskp3
    | c0_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f665,plain,
    ( spl0_94
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f48,f552,f662]) ).

fof(f48,axiom,
    ( ~ hskp27
    | c0_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f660,plain,
    ( spl0_93
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f71,f547,f657]) ).

fof(f71,axiom,
    ( ~ hskp11
    | c3_1(a808) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f650,plain,
    ( spl0_91
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f50,f552,f647]) ).

fof(f50,axiom,
    ( ~ hskp27
    | c3_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f645,plain,
    ( spl0_90
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f62,f532,f642]) ).

fof(f62,axiom,
    ( ~ hskp19
    | c2_1(a832) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f640,plain,
    ( spl0_89
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f82,f557,f637]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c2_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f635,plain,
    ( spl0_88
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f85,f527,f632]) ).

fof(f85,axiom,
    ( ~ hskp0
    | c2_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f630,plain,
    ( spl0_87
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f49,f552,f627]) ).

fof(f49,axiom,
    ( ~ hskp27
    | c2_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f625,plain,
    ( spl0_86
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f61,f522,f622]) ).

fof(f61,axiom,
    ( ~ hskp20
    | c1_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f620,plain,
    ( spl0_85
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f74,f537,f617]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c1_1(a805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f615,plain,
    ( ~ spl0_84
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f94,f522,f612]) ).

fof(f94,axiom,
    ( ~ hskp20
    | ~ c0_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f610,plain,
    ( ~ spl0_83
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f118,f537,f607]) ).

fof(f118,axiom,
    ( ~ hskp8
    | ~ c3_1(a805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f605,plain,
    ( ~ spl0_82
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f125,f557,f602]) ).

fof(f125,axiom,
    ( ~ hskp3
    | ~ c3_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f600,plain,
    ( ~ spl0_81
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f97,f532,f597]) ).

fof(f97,axiom,
    ( ~ hskp19
    | ~ c3_1(a832) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f595,plain,
    ( ~ spl0_80
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f117,f537,f592]) ).

fof(f117,axiom,
    ( ~ hskp8
    | ~ c2_1(a805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f590,plain,
    ( ~ spl0_79
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f112,f547,f587]) ).

fof(f112,axiom,
    ( ~ hskp11
    | ~ c2_1(a808) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f580,plain,
    ( ~ spl0_77
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f95,f522,f577]) ).

fof(f95,axiom,
    ( ~ hskp20
    | ~ c2_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f575,plain,
    ( ~ spl0_76
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f111,f547,f572]) ).

fof(f111,axiom,
    ( ~ hskp11
    | ~ c1_1(a808) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f570,plain,
    ( ~ spl0_75
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f131,f527,f567]) ).

fof(f131,axiom,
    ( ~ hskp0
    | ~ c1_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f565,plain,
    ( ~ spl0_74
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f96,f532,f562]) ).

fof(f96,axiom,
    ( ~ hskp19
    | ~ c1_1(a832) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f520,plain,
    ( spl0_65
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f42,f447,f517]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c0_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f515,plain,
    ( spl0_64
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f52,f452,f512]) ).

fof(f52,axiom,
    ( ~ hskp26
    | c3_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f510,plain,
    ( spl0_63
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f58,f442,f507]) ).

fof(f58,axiom,
    ( ~ hskp22
    | c3_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f505,plain,
    ( spl0_62
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f51,f452,f502]) ).

fof(f51,axiom,
    ( ~ hskp26
    | c2_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f500,plain,
    ( spl0_61
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f44,f447,f497]) ).

fof(f44,axiom,
    ( ~ hskp29
    | c2_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f495,plain,
    ( spl0_60
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f43,f447,f492]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c1_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f490,plain,
    ( spl0_59
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f57,f442,f487]) ).

fof(f57,axiom,
    ( ~ hskp22
    | c1_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f485,plain,
    ( ~ spl0_58
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f113,f457,f482]) ).

fof(f113,axiom,
    ( ~ hskp10
    | ~ c0_1(a807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f480,plain,
    ( ~ spl0_57
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f86,f452,f477]) ).

fof(f86,axiom,
    ( ~ hskp26
    | ~ c0_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f475,plain,
    ( ~ spl0_56
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f92,f442,f472]) ).

fof(f92,axiom,
    ( ~ hskp22
    | ~ c0_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f470,plain,
    ( ~ spl0_55
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f115,f457,f467]) ).

fof(f115,axiom,
    ( ~ hskp10
    | ~ c3_1(a807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f465,plain,
    ( ~ spl0_54
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f114,f457,f462]) ).

fof(f114,axiom,
    ( ~ hskp10
    | ~ c2_1(a807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f455,plain,
    ( spl0_1
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f5,f452,f198]) ).

fof(f5,axiom,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f435,plain,
    ( spl0_48
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f63,f302,f432]) ).

fof(f63,axiom,
    ( ~ hskp17
    | c0_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f430,plain,
    ( spl0_47
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f39,f267,f427]) ).

fof(f39,axiom,
    ( ~ hskp30
    | c0_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f425,plain,
    ( spl0_46
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f66,f287,f422]) ).

fof(f66,axiom,
    ( ~ hskp15
    | c3_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f420,plain,
    ( spl0_45
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f41,f267,f417]) ).

fof(f41,axiom,
    ( ~ hskp30
    | c3_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f415,plain,
    ( spl0_44
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f65,f287,f412]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c2_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f410,plain,
    ( spl0_43
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f70,f292,f407]) ).

fof(f70,axiom,
    ( ~ hskp12
    | c2_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f405,plain,
    ( spl0_42
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f77,f272,f402]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c2_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f400,plain,
    ( spl0_41
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f40,f267,f397]) ).

fof(f40,axiom,
    ( ~ hskp30
    | c1_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f395,plain,
    ( spl0_40
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f64,f302,f392]) ).

fof(f64,axiom,
    ( ~ hskp17
    | c1_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f390,plain,
    ( spl0_39
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f69,f292,f387]) ).

fof(f69,axiom,
    ( ~ hskp12
    | c1_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f385,plain,
    ( ~ spl0_38
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f126,f277,f382]) ).

fof(f126,axiom,
    ( ~ hskp2
    | ~ c0_1(a795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f375,plain,
    ( ~ spl0_36
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f110,f292,f372]) ).

fof(f110,axiom,
    ( ~ hskp12
    | ~ c0_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f370,plain,
    ( ~ spl0_35
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f120,f272,f367]) ).

fof(f120,axiom,
    ( ~ hskp6
    | ~ c0_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f365,plain,
    ( ~ spl0_34
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f128,f277,f362]) ).

fof(f128,axiom,
    ( ~ hskp2
    | ~ c3_1(a795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f360,plain,
    ( ~ spl0_33
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f100,f282,f357]) ).

fof(f100,axiom,
    ( ~ hskp18
    | ~ c3_1(a828) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f350,plain,
    ( ~ spl0_31
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f101,f302,f347]) ).

fof(f101,axiom,
    ( ~ hskp17
    | ~ c2_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f340,plain,
    ( ~ spl0_29
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f99,f282,f337]) ).

fof(f99,axiom,
    ( ~ hskp18
    | ~ c2_1(a828) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f335,plain,
    ( ~ spl0_28
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f98,f282,f332]) ).

fof(f98,axiom,
    ( ~ hskp18
    | ~ c1_1(a828) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f330,plain,
    ( ~ spl0_27
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f127,f277,f327]) ).

fof(f127,axiom,
    ( ~ hskp2
    | ~ c1_1(a795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f320,plain,
    ( ~ spl0_25
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f105,f287,f317]) ).

fof(f105,axiom,
    ( ~ hskp15
    | ~ c1_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f255,plain,
    ( spl0_12
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f76,f207,f252]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c3_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f250,plain,
    ( spl0_11
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f54,f202,f247]) ).

fof(f54,axiom,
    ( ~ hskp25
    | c2_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f245,plain,
    ( spl0_10
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f53,f202,f242]) ).

fof(f53,axiom,
    ( ~ hskp25
    | c1_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f240,plain,
    ( spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f75,f207,f237]) ).

fof(f75,axiom,
    ( ~ hskp7
    | c1_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f235,plain,
    ( ~ spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f91,f212,f232]) ).

fof(f91,axiom,
    ( ~ hskp23
    | ~ c3_1(a856) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f230,plain,
    ( ~ spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f87,f202,f227]) ).

fof(f87,axiom,
    ( ~ hskp25
    | ~ c3_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f225,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f90,f212,f222]) ).

fof(f90,axiom,
    ( ~ hskp23
    | ~ c2_1(a856) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f220,plain,
    ( ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f119,f207,f217]) ).

fof(f119,axiom,
    ( ~ hskp7
    | ~ c2_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN473-1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 01:59:43 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (25838)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (25839)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (25840)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (25843)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38  % (25841)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)
% 0.22/0.38  % (25845)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)
% 0.22/0.38  % (25842)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38  % (25844)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [31]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [31]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [31]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  Detected minimum model sizes of [1]
% 0.22/0.39  Detected maximum model sizes of [31]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.41  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  % (25844)First to succeed.
% 0.22/0.43  % (25844)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44  % (25844)------------------------------
% 0.22/0.44  % (25844)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44  % (25844)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (25844)Memory used [KB]: 1720
% 0.22/0.44  % (25844)Time elapsed: 0.047 s
% 0.22/0.44  % (25844)Instructions burned: 77 (million)
% 0.22/0.44  % (25844)------------------------------
% 0.22/0.44  % (25844)------------------------------
% 0.22/0.44  % (25838)Success in time 0.07 s
%------------------------------------------------------------------------------