TSTP Solution File: SYN488-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN488-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:28 EDT 2022

% Result   : Unsatisfiable 1.67s 0.57s
% Output   : Refutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  310
% Syntax   : Number of formulae    :  723 (   1 unt;   0 def)
%            Number of atoms       : 2317 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2750 (1156   ~;1428   |;   0   &)
%                                         ( 166 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  201 ( 200 usr; 197 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  147 ( 147   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2424,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f228,f237,f246,f258,f267,f276,f290,f302,f311,f320,f334,f339,f347,f356,f365,f370,f385,f399,f403,f404,f409,f428,f436,f437,f455,f460,f465,f470,f479,f484,f488,f489,f499,f503,f508,f513,f527,f532,f544,f549,f555,f561,f566,f573,f578,f585,f586,f587,f592,f594,f598,f603,f608,f618,f623,f628,f634,f639,f644,f646,f647,f656,f667,f668,f674,f675,f681,f685,f694,f700,f701,f707,f719,f724,f731,f736,f737,f742,f747,f753,f758,f763,f781,f786,f787,f793,f800,f801,f802,f803,f808,f809,f810,f815,f816,f821,f826,f827,f831,f832,f833,f834,f839,f844,f849,f854,f859,f865,f870,f875,f876,f882,f887,f890,f895,f896,f901,f902,f907,f912,f918,f924,f929,f934,f935,f936,f942,f947,f948,f953,f959,f964,f969,f974,f979,f980,f981,f986,f991,f997,f998,f1004,f1005,f1018,f1021,f1072,f1079,f1084,f1088,f1096,f1097,f1102,f1108,f1130,f1131,f1132,f1137,f1147,f1170,f1171,f1193,f1200,f1208,f1221,f1226,f1227,f1236,f1245,f1248,f1267,f1270,f1302,f1319,f1347,f1360,f1402,f1407,f1421,f1433,f1434,f1464,f1481,f1508,f1515,f1531,f1532,f1533,f1535,f1549,f1558,f1568,f1589,f1590,f1597,f1702,f1705,f1717,f1730,f1746,f1747,f1748,f1750,f1754,f1768,f1774,f1843,f1844,f1889,f1909,f1910,f1913,f1930,f2004,f2061,f2080,f2081,f2082,f2087,f2177,f2245,f2246,f2247,f2249,f2250,f2303,f2304,f2307,f2308,f2324,f2325,f2326,f2328,f2384,f2385,f2405,f2423]) ).

fof(f2423,plain,
    ( spl0_180
    | spl0_17
    | ~ spl0_51
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2416,f812,f430,f273,f1430]) ).

fof(f1430,plain,
    ( spl0_180
  <=> c1_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f273,plain,
    ( spl0_17
  <=> c0_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f430,plain,
    ( spl0_51
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f812,plain,
    ( spl0_124
  <=> c2_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2416,plain,
    ( c0_1(a2455)
    | c1_1(a2455)
    | ~ spl0_51
    | ~ spl0_124 ),
    inference(resolution,[],[f431,f814]) ).

fof(f814,plain,
    ( c2_1(a2455)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f431,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f2405,plain,
    ( ~ spl0_91
    | spl0_8
    | ~ spl0_21
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2404,f1110,f292,f234,f625]) ).

fof(f625,plain,
    ( spl0_91
  <=> c0_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f234,plain,
    ( spl0_8
  <=> c3_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f292,plain,
    ( spl0_21
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1110,plain,
    ( spl0_167
  <=> c1_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2404,plain,
    ( c3_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_21
    | ~ spl0_167 ),
    inference(resolution,[],[f293,f1112]) ).

fof(f1112,plain,
    ( c1_1(a2405)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f293,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f2385,plain,
    ( spl0_183
    | spl0_119
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2376,f457,f430,f778,f1555]) ).

fof(f1555,plain,
    ( spl0_183
  <=> c1_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f778,plain,
    ( spl0_119
  <=> c0_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f457,plain,
    ( spl0_57
  <=> c2_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2376,plain,
    ( c0_1(a2478)
    | c1_1(a2478)
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(resolution,[],[f431,f459]) ).

fof(f459,plain,
    ( c2_1(a2478)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f2384,plain,
    ( spl0_177
    | spl0_146
    | ~ spl0_51
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2382,f846,f430,f939,f1239]) ).

fof(f1239,plain,
    ( spl0_177
  <=> c0_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f939,plain,
    ( spl0_146
  <=> c1_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f846,plain,
    ( spl0_130
  <=> c2_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2382,plain,
    ( c1_1(a2411)
    | c0_1(a2411)
    | ~ spl0_51
    | ~ spl0_130 ),
    inference(resolution,[],[f431,f848]) ).

fof(f848,plain,
    ( c2_1(a2411)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f2328,plain,
    ( spl0_17
    | ~ spl0_180
    | ~ spl0_104
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2252,f812,f698,f1430,f273]) ).

fof(f698,plain,
    ( spl0_104
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2252,plain,
    ( ~ c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_104
    | ~ spl0_124 ),
    inference(resolution,[],[f814,f699]) ).

fof(f699,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f2326,plain,
    ( spl0_109
    | ~ spl0_166
    | ~ spl0_71
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2319,f829,f524,f1099,f728]) ).

fof(f728,plain,
    ( spl0_109
  <=> c1_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1099,plain,
    ( spl0_166
  <=> c0_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f524,plain,
    ( spl0_71
  <=> c3_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f829,plain,
    ( spl0_127
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2319,plain,
    ( ~ c0_1(a2416)
    | c1_1(a2416)
    | ~ spl0_71
    | ~ spl0_127 ),
    inference(resolution,[],[f830,f526]) ).

fof(f526,plain,
    ( c3_1(a2416)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f830,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f2325,plain,
    ( spl0_172
    | ~ spl0_68
    | ~ spl0_127
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2321,f950,f829,f510,f1197]) ).

fof(f1197,plain,
    ( spl0_172
  <=> c1_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f510,plain,
    ( spl0_68
  <=> c0_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f950,plain,
    ( spl0_148
  <=> c3_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2321,plain,
    ( ~ c0_1(a2408)
    | c1_1(a2408)
    | ~ spl0_127
    | ~ spl0_148 ),
    inference(resolution,[],[f830,f952]) ).

fof(f952,plain,
    ( c3_1(a2408)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f2324,plain,
    ( spl0_123
    | ~ spl0_90
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2322,f829,f304,f620,f805]) ).

fof(f805,plain,
    ( spl0_123
  <=> c1_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f620,plain,
    ( spl0_90
  <=> c0_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f304,plain,
    ( spl0_24
  <=> c3_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2322,plain,
    ( ~ c0_1(a2402)
    | c1_1(a2402)
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(resolution,[],[f830,f306]) ).

fof(f306,plain,
    ( c3_1(a2402)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f2308,plain,
    ( spl0_162
    | spl0_61
    | ~ spl0_118
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2288,f862,f774,f476,f1037]) ).

fof(f1037,plain,
    ( spl0_162
  <=> c3_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f476,plain,
    ( spl0_61
  <=> c1_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f774,plain,
    ( spl0_118
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f862,plain,
    ( spl0_133
  <=> c0_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2288,plain,
    ( c1_1(a2437)
    | c3_1(a2437)
    | ~ spl0_118
    | ~ spl0_133 ),
    inference(resolution,[],[f775,f864]) ).

fof(f864,plain,
    ( c0_1(a2437)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f775,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f2307,plain,
    ( spl0_93
    | spl0_41
    | ~ spl0_118
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2291,f961,f774,f382,f636]) ).

fof(f636,plain,
    ( spl0_93
  <=> c3_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f382,plain,
    ( spl0_41
  <=> c1_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f961,plain,
    ( spl0_150
  <=> c0_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2291,plain,
    ( c1_1(a2414)
    | c3_1(a2414)
    | ~ spl0_118
    | ~ spl0_150 ),
    inference(resolution,[],[f775,f963]) ).

fof(f963,plain,
    ( c0_1(a2414)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f2304,plain,
    ( spl0_157
    | spl0_175
    | ~ spl0_44
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2293,f774,f396,f1223,f1001]) ).

fof(f1001,plain,
    ( spl0_157
  <=> c1_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1223,plain,
    ( spl0_175
  <=> c3_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f396,plain,
    ( spl0_44
  <=> c0_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2293,plain,
    ( c3_1(a2407)
    | c1_1(a2407)
    | ~ spl0_44
    | ~ spl0_118 ),
    inference(resolution,[],[f775,f398]) ).

fof(f398,plain,
    ( c0_1(a2407)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f2303,plain,
    ( spl0_62
    | spl0_149
    | ~ spl0_118
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2297,f1127,f774,f956,f481]) ).

fof(f481,plain,
    ( spl0_62
  <=> c3_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f956,plain,
    ( spl0_149
  <=> c1_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1127,plain,
    ( spl0_168
  <=> c0_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2297,plain,
    ( c1_1(a2404)
    | c3_1(a2404)
    | ~ spl0_118
    | ~ spl0_168 ),
    inference(resolution,[],[f775,f1129]) ).

fof(f1129,plain,
    ( c0_1(a2404)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f2250,plain,
    ( ~ spl0_173
    | spl0_92
    | ~ spl0_21
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2133,f600,f292,f631,f1205]) ).

fof(f1205,plain,
    ( spl0_173
  <=> c0_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f631,plain,
    ( spl0_92
  <=> c3_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f600,plain,
    ( spl0_86
  <=> c1_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2133,plain,
    ( c3_1(a2420)
    | ~ c0_1(a2420)
    | ~ spl0_21
    | ~ spl0_86 ),
    inference(resolution,[],[f293,f602]) ).

fof(f602,plain,
    ( c1_1(a2420)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f2249,plain,
    ( spl0_83
    | spl0_145
    | ~ spl0_56
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2248,f872,f453,f931,f582]) ).

fof(f582,plain,
    ( spl0_83
  <=> c0_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f931,plain,
    ( spl0_145
  <=> c1_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f453,plain,
    ( spl0_56
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f872,plain,
    ( spl0_135
  <=> c2_1(a2453) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2248,plain,
    ( c1_1(a2453)
    | c0_1(a2453)
    | ~ spl0_56
    | spl0_135 ),
    inference(resolution,[],[f874,f454]) ).

fof(f454,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f874,plain,
    ( ~ c2_1(a2453)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f2247,plain,
    ( spl0_157
    | spl0_50
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2241,f771,f396,f425,f1001]) ).

fof(f425,plain,
    ( spl0_50
  <=> c2_1(a2407) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f771,plain,
    ( spl0_117
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2241,plain,
    ( c2_1(a2407)
    | c1_1(a2407)
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(resolution,[],[f772,f398]) ).

fof(f772,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f2246,plain,
    ( spl0_5
    | spl0_149
    | ~ spl0_117
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2244,f1127,f771,f956,f221]) ).

fof(f221,plain,
    ( spl0_5
  <=> c2_1(a2404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2244,plain,
    ( c1_1(a2404)
    | c2_1(a2404)
    | ~ spl0_117
    | ~ spl0_168 ),
    inference(resolution,[],[f772,f1129]) ).

fof(f2245,plain,
    ( spl0_109
    | spl0_138
    | ~ spl0_117
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2240,f1099,f771,f892,f728]) ).

fof(f892,plain,
    ( spl0_138
  <=> c2_1(a2416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2240,plain,
    ( c2_1(a2416)
    | c1_1(a2416)
    | ~ spl0_117
    | ~ spl0_166 ),
    inference(resolution,[],[f772,f1101]) ).

fof(f1101,plain,
    ( c0_1(a2416)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f2177,plain,
    ( ~ spl0_131
    | ~ spl0_187
    | ~ spl0_74
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2158,f841,f539,f1765,f851]) ).

fof(f851,plain,
    ( spl0_131
  <=> c0_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1765,plain,
    ( spl0_187
  <=> c1_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f539,plain,
    ( spl0_74
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f841,plain,
    ( spl0_129
  <=> c3_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2158,plain,
    ( ~ c1_1(a2409)
    | ~ c0_1(a2409)
    | ~ spl0_74
    | ~ spl0_129 ),
    inference(resolution,[],[f540,f843]) ).

fof(f843,plain,
    ( c3_1(a2409)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f540,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f2087,plain,
    ( spl0_155
    | ~ spl0_114
    | ~ spl0_104
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2069,f1015,f698,f755,f988]) ).

fof(f988,plain,
    ( spl0_155
  <=> c0_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f755,plain,
    ( spl0_114
  <=> c1_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1015,plain,
    ( spl0_159
  <=> c2_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2069,plain,
    ( ~ c1_1(a2432)
    | c0_1(a2432)
    | ~ spl0_104
    | ~ spl0_159 ),
    inference(resolution,[],[f699,f1017]) ).

fof(f1017,plain,
    ( c2_1(a2432)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f2082,plain,
    ( ~ spl0_86
    | spl0_173
    | ~ spl0_104
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2071,f915,f698,f1205,f600]) ).

fof(f915,plain,
    ( spl0_142
  <=> c2_1(a2420) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2071,plain,
    ( c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_104
    | ~ spl0_142 ),
    inference(resolution,[],[f699,f917]) ).

fof(f917,plain,
    ( c2_1(a2420)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f2081,plain,
    ( ~ spl0_121
    | spl0_94
    | ~ spl0_104
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2066,f1155,f698,f641,f790]) ).

fof(f790,plain,
    ( spl0_121
  <=> c1_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f641,plain,
    ( spl0_94
  <=> c0_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1155,plain,
    ( spl0_171
  <=> c2_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2066,plain,
    ( c0_1(a2468)
    | ~ c1_1(a2468)
    | ~ spl0_104
    | ~ spl0_171 ),
    inference(resolution,[],[f699,f1157]) ).

fof(f1157,plain,
    ( c2_1(a2468)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f2080,plain,
    ( spl0_119
    | ~ spl0_183
    | ~ spl0_57
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2065,f698,f457,f1555,f778]) ).

fof(f2065,plain,
    ( ~ c1_1(a2478)
    | c0_1(a2478)
    | ~ spl0_57
    | ~ spl0_104 ),
    inference(resolution,[],[f699,f459]) ).

fof(f2061,plain,
    ( ~ spl0_91
    | spl0_167
    | ~ spl0_46
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2056,f649,f406,f1110,f625]) ).

fof(f406,plain,
    ( spl0_46
  <=> c2_1(a2405) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f649,plain,
    ( spl0_95
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2056,plain,
    ( c1_1(a2405)
    | ~ c0_1(a2405)
    | ~ spl0_46
    | ~ spl0_95 ),
    inference(resolution,[],[f650,f408]) ).

fof(f408,plain,
    ( c2_1(a2405)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f650,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f2004,plain,
    ( spl0_98
    | ~ spl0_172
    | ~ spl0_2
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2001,f950,f210,f1197,f664]) ).

fof(f664,plain,
    ( spl0_98
  <=> c2_1(a2408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f210,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2001,plain,
    ( ~ c1_1(a2408)
    | c2_1(a2408)
    | ~ spl0_2
    | ~ spl0_148 ),
    inference(resolution,[],[f211,f952]) ).

fof(f211,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f1930,plain,
    ( spl0_155
    | spl0_159
    | ~ spl0_63
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1921,f755,f486,f1015,f988]) ).

fof(f486,plain,
    ( spl0_63
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1921,plain,
    ( c2_1(a2432)
    | c0_1(a2432)
    | ~ spl0_63
    | ~ spl0_114 ),
    inference(resolution,[],[f487,f757]) ).

fof(f757,plain,
    ( c1_1(a2432)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f487,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1913,plain,
    ( ~ spl0_122
    | ~ spl0_187
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1881,f841,f300,f1765,f797]) ).

fof(f797,plain,
    ( spl0_122
  <=> c2_1(a2409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f300,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1881,plain,
    ( ~ c1_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(resolution,[],[f301,f843]) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f1910,plain,
    ( ~ spl0_122
    | spl0_187
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1900,f841,f505,f1765,f797]) ).

fof(f505,plain,
    ( spl0_67
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1900,plain,
    ( c1_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(resolution,[],[f506,f843]) ).

fof(f506,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f1909,plain,
    ( spl0_115
    | ~ spl0_79
    | ~ spl0_67
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1903,f983,f505,f563,f760]) ).

fof(f760,plain,
    ( spl0_115
  <=> c1_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f563,plain,
    ( spl0_79
  <=> c2_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f983,plain,
    ( spl0_154
  <=> c3_1(a2427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1903,plain,
    ( ~ c2_1(a2427)
    | c1_1(a2427)
    | ~ spl0_67
    | ~ spl0_154 ),
    inference(resolution,[],[f506,f985]) ).

fof(f985,plain,
    ( c3_1(a2427)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1889,plain,
    ( ~ spl0_124
    | ~ spl0_180
    | ~ spl0_23
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1883,f971,f300,f1430,f812]) ).

fof(f971,plain,
    ( spl0_152
  <=> c3_1(a2455) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1883,plain,
    ( ~ c1_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_23
    | ~ spl0_152 ),
    inference(resolution,[],[f301,f973]) ).

fof(f973,plain,
    ( c3_1(a2455)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f1844,plain,
    ( spl0_98
    | spl0_172
    | ~ spl0_102
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1808,f950,f687,f1197,f664]) ).

fof(f687,plain,
    ( spl0_102
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1808,plain,
    ( c1_1(a2408)
    | c2_1(a2408)
    | ~ spl0_102
    | ~ spl0_148 ),
    inference(resolution,[],[f952,f688]) ).

fof(f688,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f1843,plain,
    ( ~ spl0_147
    | ~ spl0_111
    | ~ spl0_23
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1834,f856,f300,f739,f944]) ).

fof(f944,plain,
    ( spl0_147
  <=> c1_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f739,plain,
    ( spl0_111
  <=> c2_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f856,plain,
    ( spl0_132
  <=> c3_1(a2406) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1834,plain,
    ( ~ c2_1(a2406)
    | ~ c1_1(a2406)
    | ~ spl0_23
    | ~ spl0_132 ),
    inference(resolution,[],[f301,f858]) ).

fof(f858,plain,
    ( c3_1(a2406)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f1774,plain,
    ( ~ spl0_122
    | ~ spl0_131
    | ~ spl0_66
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1771,f841,f501,f851,f797]) ).

fof(f501,plain,
    ( spl0_66
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1771,plain,
    ( ~ c0_1(a2409)
    | ~ c2_1(a2409)
    | ~ spl0_66
    | ~ spl0_129 ),
    inference(resolution,[],[f843,f502]) ).

fof(f502,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1768,plain,
    ( ~ spl0_131
    | ~ spl0_187
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1763,f797,f256,f1765,f851]) ).

fof(f256,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1763,plain,
    ( ~ c1_1(a2409)
    | ~ c0_1(a2409)
    | ~ spl0_13
    | ~ spl0_122 ),
    inference(resolution,[],[f799,f257]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f799,plain,
    ( c2_1(a2409)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f1754,plain,
    ( spl0_17
    | spl0_180
    | ~ spl0_38
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1456,f971,f368,f1430,f273]) ).

fof(f368,plain,
    ( spl0_38
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1456,plain,
    ( c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_38
    | ~ spl0_152 ),
    inference(resolution,[],[f973,f369]) ).

fof(f369,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1750,plain,
    ( spl0_157
    | spl0_50
    | ~ spl0_102
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1740,f1223,f687,f425,f1001]) ).

fof(f1740,plain,
    ( c2_1(a2407)
    | c1_1(a2407)
    | ~ spl0_102
    | ~ spl0_175 ),
    inference(resolution,[],[f688,f1225]) ).

fof(f1225,plain,
    ( c3_1(a2407)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1748,plain,
    ( spl0_10
    | spl0_165
    | ~ spl0_58
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1737,f687,f462,f1081,f243]) ).

fof(f243,plain,
    ( spl0_10
  <=> c1_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1081,plain,
    ( spl0_165
  <=> c2_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f462,plain,
    ( spl0_58
  <=> c3_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1737,plain,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ spl0_58
    | ~ spl0_102 ),
    inference(resolution,[],[f688,f464]) ).

fof(f464,plain,
    ( c3_1(a2417)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1747,plain,
    ( spl0_123
    | spl0_178
    | ~ spl0_24
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1741,f687,f304,f1299,f805]) ).

fof(f1299,plain,
    ( spl0_178
  <=> c2_1(a2402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1741,plain,
    ( c2_1(a2402)
    | c1_1(a2402)
    | ~ spl0_24
    | ~ spl0_102 ),
    inference(resolution,[],[f688,f306]) ).

fof(f1746,plain,
    ( spl0_138
    | spl0_109
    | ~ spl0_71
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1738,f687,f524,f728,f892]) ).

fof(f1738,plain,
    ( c1_1(a2416)
    | c2_1(a2416)
    | ~ spl0_71
    | ~ spl0_102 ),
    inference(resolution,[],[f688,f526]) ).

fof(f1730,plain,
    ( spl0_146
    | ~ spl0_177
    | ~ spl0_95
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1728,f846,f649,f1239,f939]) ).

fof(f1728,plain,
    ( ~ c0_1(a2411)
    | c1_1(a2411)
    | ~ spl0_95
    | ~ spl0_130 ),
    inference(resolution,[],[f650,f848]) ).

fof(f1717,plain,
    ( ~ spl0_86
    | ~ spl0_173
    | ~ spl0_13
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1713,f915,f256,f1205,f600]) ).

fof(f1713,plain,
    ( ~ c0_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_13
    | ~ spl0_142 ),
    inference(resolution,[],[f257,f917]) ).

fof(f1705,plain,
    ( spl0_78
    | spl0_146
    | ~ spl0_81
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1704,f846,f571,f939,f558]) ).

fof(f558,plain,
    ( spl0_78
  <=> c3_1(a2411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f571,plain,
    ( spl0_81
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1704,plain,
    ( c1_1(a2411)
    | c3_1(a2411)
    | ~ spl0_81
    | ~ spl0_130 ),
    inference(resolution,[],[f848,f572]) ).

fof(f572,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1702,plain,
    ( spl0_51
    | ~ spl0_33
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1701,f515,f345,f430]) ).

fof(f345,plain,
    ( spl0_33
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f515,plain,
    ( spl0_69
  <=> ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1701,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_33
    | ~ spl0_69 ),
    inference(duplicate_literal_removal,[],[f1679]) ).

fof(f1679,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_33
    | ~ spl0_69 ),
    inference(resolution,[],[f516,f346]) ).

fof(f346,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f516,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f1597,plain,
    ( spl0_69
    | ~ spl0_56
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1449,f571,f453,f515]) ).

fof(f1449,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_56
    | ~ spl0_81 ),
    inference(duplicate_literal_removal,[],[f1445]) ).

fof(f1445,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_56
    | ~ spl0_81 ),
    inference(resolution,[],[f572,f454]) ).

fof(f1590,plain,
    ( ~ spl0_178
    | ~ spl0_90
    | ~ spl0_24
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1583,f501,f304,f620,f1299]) ).

fof(f1583,plain,
    ( ~ c0_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_24
    | ~ spl0_66 ),
    inference(resolution,[],[f502,f306]) ).

fof(f1589,plain,
    ( ~ spl0_133
    | ~ spl0_87
    | ~ spl0_66
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1575,f1037,f501,f605,f862]) ).

fof(f605,plain,
    ( spl0_87
  <=> c2_1(a2437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1575,plain,
    ( ~ c2_1(a2437)
    | ~ c0_1(a2437)
    | ~ spl0_66
    | ~ spl0_162 ),
    inference(resolution,[],[f502,f1039]) ).

fof(f1039,plain,
    ( c3_1(a2437)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1568,plain,
    ( ~ spl0_133
    | spl0_61
    | ~ spl0_87
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1566,f649,f605,f476,f862]) ).

fof(f1566,plain,
    ( c1_1(a2437)
    | ~ c0_1(a2437)
    | ~ spl0_87
    | ~ spl0_95 ),
    inference(resolution,[],[f650,f607]) ).

fof(f607,plain,
    ( c2_1(a2437)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f1558,plain,
    ( spl0_183
    | spl0_134
    | ~ spl0_57
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1550,f571,f457,f867,f1555]) ).

fof(f867,plain,
    ( spl0_134
  <=> c3_1(a2478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1550,plain,
    ( c3_1(a2478)
    | c1_1(a2478)
    | ~ spl0_57
    | ~ spl0_81 ),
    inference(resolution,[],[f459,f572]) ).

fof(f1549,plain,
    ( ~ spl0_15
    | spl0_151
    | ~ spl0_45
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1544,f1404,f401,f966,f264]) ).

fof(f264,plain,
    ( spl0_15
  <=> c1_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f966,plain,
    ( spl0_151
  <=> c3_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f401,plain,
    ( spl0_45
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1404,plain,
    ( spl0_179
  <=> c2_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1544,plain,
    ( c3_1(a2484)
    | ~ c1_1(a2484)
    | ~ spl0_45
    | ~ spl0_179 ),
    inference(resolution,[],[f1406,f402]) ).

fof(f402,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f1406,plain,
    ( c2_1(a2484)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1404]) ).

fof(f1535,plain,
    ( spl0_99
    | spl0_143
    | ~ spl0_34
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1529,f683,f349,f921,f671]) ).

fof(f671,plain,
    ( spl0_99
  <=> c2_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f921,plain,
    ( spl0_143
  <=> c3_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f349,plain,
    ( spl0_34
  <=> c1_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f683,plain,
    ( spl0_101
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1529,plain,
    ( c3_1(a2403)
    | c2_1(a2403)
    | ~ spl0_34
    | ~ spl0_101 ),
    inference(resolution,[],[f684,f351]) ).

fof(f351,plain,
    ( c1_1(a2403)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f684,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1533,plain,
    ( spl0_136
    | spl0_171
    | ~ spl0_101
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1523,f790,f683,f1155,f879]) ).

fof(f879,plain,
    ( spl0_136
  <=> c3_1(a2468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1523,plain,
    ( c2_1(a2468)
    | c3_1(a2468)
    | ~ spl0_101
    | ~ spl0_121 ),
    inference(resolution,[],[f684,f792]) ).

fof(f792,plain,
    ( c1_1(a2468)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f1532,plain,
    ( spl0_110
    | spl0_153
    | ~ spl0_101
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1530,f1134,f683,f976,f733]) ).

fof(f733,plain,
    ( spl0_110
  <=> c3_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f976,plain,
    ( spl0_153
  <=> c2_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1134,plain,
    ( spl0_169
  <=> c1_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1530,plain,
    ( c2_1(a2428)
    | c3_1(a2428)
    | ~ spl0_101
    | ~ spl0_169 ),
    inference(resolution,[],[f684,f1136]) ).

fof(f1136,plain,
    ( c1_1(a2428)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1531,plain,
    ( spl0_163
    | spl0_128
    | ~ spl0_19
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1527,f683,f283,f836,f1064]) ).

fof(f1064,plain,
    ( spl0_163
  <=> c3_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f836,plain,
    ( spl0_128
  <=> c2_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f283,plain,
    ( spl0_19
  <=> c1_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1527,plain,
    ( c2_1(a2410)
    | c3_1(a2410)
    | ~ spl0_19
    | ~ spl0_101 ),
    inference(resolution,[],[f684,f285]) ).

fof(f285,plain,
    ( c1_1(a2410)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f1515,plain,
    ( spl0_63
    | ~ spl0_2
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1504,f611,f210,f486]) ).

fof(f611,plain,
    ( spl0_88
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1504,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_2
    | ~ spl0_88 ),
    inference(duplicate_literal_removal,[],[f1489]) ).

fof(f1489,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | c2_1(X2)
        | c2_1(X2) )
    | ~ spl0_2
    | ~ spl0_88 ),
    inference(resolution,[],[f612,f211]) ).

fof(f612,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f1508,plain,
    ( spl0_164
    | spl0_99
    | ~ spl0_88
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1500,f921,f611,f671,f1069]) ).

fof(f1069,plain,
    ( spl0_164
  <=> c0_1(a2403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1500,plain,
    ( c2_1(a2403)
    | c0_1(a2403)
    | ~ spl0_88
    | spl0_143 ),
    inference(resolution,[],[f612,f923]) ).

fof(f923,plain,
    ( ~ c3_1(a2403)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f1481,plain,
    ( spl0_155
    | spl0_159
    | ~ spl0_85
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1471,f904,f596,f1015,f988]) ).

fof(f596,plain,
    ( spl0_85
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f904,plain,
    ( spl0_140
  <=> c3_1(a2432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1471,plain,
    ( c2_1(a2432)
    | c0_1(a2432)
    | ~ spl0_85
    | ~ spl0_140 ),
    inference(resolution,[],[f597,f906]) ).

fof(f906,plain,
    ( c3_1(a2432)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f597,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1464,plain,
    ( spl0_41
    | spl0_93
    | ~ spl0_81
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1459,f1218,f571,f636,f382]) ).

fof(f1218,plain,
    ( spl0_174
  <=> c2_1(a2414) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1459,plain,
    ( c3_1(a2414)
    | c1_1(a2414)
    | ~ spl0_81
    | ~ spl0_174 ),
    inference(resolution,[],[f1220,f572]) ).

fof(f1220,plain,
    ( c2_1(a2414)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1434,plain,
    ( ~ spl0_124
    | spl0_17
    | ~ spl0_33
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1425,f971,f345,f273,f812]) ).

fof(f1425,plain,
    ( c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ spl0_33
    | ~ spl0_152 ),
    inference(resolution,[],[f973,f346]) ).

fof(f1433,plain,
    ( spl0_17
    | ~ spl0_180
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1428,f971,f217,f1430,f273]) ).

fof(f217,plain,
    ( spl0_4
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1428,plain,
    ( ~ c1_1(a2455)
    | c0_1(a2455)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f973,f218]) ).

fof(f218,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f1421,plain,
    ( ~ spl0_86
    | spl0_92
    | ~ spl0_45
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1416,f915,f401,f631,f600]) ).

fof(f1416,plain,
    ( c3_1(a2420)
    | ~ c1_1(a2420)
    | ~ spl0_45
    | ~ spl0_142 ),
    inference(resolution,[],[f402,f917]) ).

fof(f1407,plain,
    ( ~ spl0_141
    | spl0_179
    | ~ spl0_15
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1393,f568,f264,f1404,f909]) ).

fof(f909,plain,
    ( spl0_141
  <=> c0_1(a2484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f568,plain,
    ( spl0_80
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1393,plain,
    ( c2_1(a2484)
    | ~ c0_1(a2484)
    | ~ spl0_15
    | ~ spl0_80 ),
    inference(resolution,[],[f569,f266]) ).

fof(f266,plain,
    ( c1_1(a2484)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f569,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1402,plain,
    ( spl0_128
    | ~ spl0_31
    | ~ spl0_19
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1397,f568,f283,f336,f836]) ).

fof(f336,plain,
    ( spl0_31
  <=> c0_1(a2410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1397,plain,
    ( ~ c0_1(a2410)
    | c2_1(a2410)
    | ~ spl0_19
    | ~ spl0_80 ),
    inference(resolution,[],[f569,f285]) ).

fof(f1360,plain,
    ( ~ spl0_19
    | spl0_128
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1356,f1064,f210,f836,f283]) ).

fof(f1356,plain,
    ( c2_1(a2410)
    | ~ c1_1(a2410)
    | ~ spl0_2
    | ~ spl0_163 ),
    inference(resolution,[],[f211,f1066]) ).

fof(f1066,plain,
    ( c3_1(a2410)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1347,plain,
    ( spl0_151
    | ~ spl0_141
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1338,f292,f264,f909,f966]) ).

fof(f1338,plain,
    ( ~ c0_1(a2484)
    | c3_1(a2484)
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(resolution,[],[f293,f266]) ).

fof(f1319,plain,
    ( spl0_5
    | spl0_62
    | ~ spl0_75
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1318,f1127,f542,f481,f221]) ).

fof(f542,plain,
    ( spl0_75
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1318,plain,
    ( c3_1(a2404)
    | c2_1(a2404)
    | ~ spl0_75
    | ~ spl0_168 ),
    inference(resolution,[],[f543,f1129]) ).

fof(f543,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f1302,plain,
    ( ~ spl0_178
    | spl0_123
    | ~ spl0_24
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1295,f505,f304,f805,f1299]) ).

fof(f1295,plain,
    ( c1_1(a2402)
    | ~ c2_1(a2402)
    | ~ spl0_24
    | ~ spl0_67 ),
    inference(resolution,[],[f506,f306]) ).

fof(f1270,plain,
    ( spl0_59
    | spl0_10
    | ~ spl0_56
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1269,f1081,f453,f243,f467]) ).

fof(f467,plain,
    ( spl0_59
  <=> c0_1(a2417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1269,plain,
    ( c1_1(a2417)
    | c0_1(a2417)
    | ~ spl0_56
    | spl0_165 ),
    inference(resolution,[],[f1083,f454]) ).

fof(f1083,plain,
    ( ~ c2_1(a2417)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1267,plain,
    ( spl0_137
    | ~ spl0_160
    | ~ spl0_4
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1257,f994,f217,f1024,f884]) ).

fof(f884,plain,
    ( spl0_137
  <=> c0_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1024,plain,
    ( spl0_160
  <=> c1_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f994,plain,
    ( spl0_156
  <=> c3_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1257,plain,
    ( ~ c1_1(a2435)
    | c0_1(a2435)
    | ~ spl0_4
    | ~ spl0_156 ),
    inference(resolution,[],[f218,f996]) ).

fof(f996,plain,
    ( c3_1(a2435)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f1248,plain,
    ( spl0_143
    | spl0_99
    | ~ spl0_75
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1247,f1069,f542,f671,f921]) ).

fof(f1247,plain,
    ( c2_1(a2403)
    | c3_1(a2403)
    | ~ spl0_75
    | ~ spl0_164 ),
    inference(resolution,[],[f1070,f543]) ).

fof(f1070,plain,
    ( c0_1(a2403)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1245,plain,
    ( ~ spl0_177
    | spl0_78
    | ~ spl0_12
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1244,f846,f253,f558,f1239]) ).

fof(f253,plain,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1244,plain,
    ( c3_1(a2411)
    | ~ c0_1(a2411)
    | ~ spl0_12
    | ~ spl0_130 ),
    inference(resolution,[],[f848,f254]) ).

fof(f254,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f1236,plain,
    ( spl0_137
    | spl0_108
    | ~ spl0_63
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1235,f1024,f486,f721,f884]) ).

fof(f721,plain,
    ( spl0_108
  <=> c2_1(a2435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1235,plain,
    ( c2_1(a2435)
    | c0_1(a2435)
    | ~ spl0_63
    | ~ spl0_160 ),
    inference(resolution,[],[f1025,f487]) ).

fof(f1025,plain,
    ( c1_1(a2435)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1227,plain,
    ( spl0_89
    | spl0_112
    | ~ spl0_75
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1212,f653,f542,f744,f615]) ).

fof(f615,plain,
    ( spl0_89
  <=> c3_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f744,plain,
    ( spl0_112
  <=> c2_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f653,plain,
    ( spl0_96
  <=> c0_1(a2425) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1212,plain,
    ( c2_1(a2425)
    | c3_1(a2425)
    | ~ spl0_75
    | ~ spl0_96 ),
    inference(resolution,[],[f543,f655]) ).

fof(f655,plain,
    ( c0_1(a2425)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1226,plain,
    ( spl0_50
    | spl0_175
    | ~ spl0_44
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1216,f542,f396,f1223,f425]) ).

fof(f1216,plain,
    ( c3_1(a2407)
    | c2_1(a2407)
    | ~ spl0_44
    | ~ spl0_75 ),
    inference(resolution,[],[f543,f398]) ).

fof(f1221,plain,
    ( spl0_174
    | spl0_93
    | ~ spl0_75
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1213,f961,f542,f636,f1218]) ).

fof(f1213,plain,
    ( c3_1(a2414)
    | c2_1(a2414)
    | ~ spl0_75
    | ~ spl0_150 ),
    inference(resolution,[],[f543,f963]) ).

fof(f1208,plain,
    ( spl0_92
    | ~ spl0_173
    | ~ spl0_12
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1203,f915,f253,f1205,f631]) ).

fof(f1203,plain,
    ( ~ c0_1(a2420)
    | c3_1(a2420)
    | ~ spl0_12
    | ~ spl0_142 ),
    inference(resolution,[],[f917,f254]) ).

fof(f1200,plain,
    ( ~ spl0_68
    | ~ spl0_172
    | ~ spl0_74
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1192,f950,f539,f1197,f510]) ).

fof(f1192,plain,
    ( ~ c1_1(a2408)
    | ~ c0_1(a2408)
    | ~ spl0_74
    | ~ spl0_148 ),
    inference(resolution,[],[f540,f952]) ).

fof(f1193,plain,
    ( ~ spl0_126
    | ~ spl0_76
    | ~ spl0_74
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1185,f783,f539,f546,f823]) ).

fof(f823,plain,
    ( spl0_126
  <=> c1_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f546,plain,
    ( spl0_76
  <=> c0_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f783,plain,
    ( spl0_120
  <=> c3_1(a2450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1185,plain,
    ( ~ c0_1(a2450)
    | ~ c1_1(a2450)
    | ~ spl0_74
    | ~ spl0_120 ),
    inference(resolution,[],[f540,f785]) ).

fof(f785,plain,
    ( c3_1(a2450)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f1171,plain,
    ( ~ spl0_165
    | spl0_10
    | ~ spl0_58
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1167,f505,f462,f243,f1081]) ).

fof(f1167,plain,
    ( c1_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_58
    | ~ spl0_67 ),
    inference(resolution,[],[f506,f464]) ).

fof(f1170,plain,
    ( spl0_61
    | ~ spl0_87
    | ~ spl0_67
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1163,f1037,f505,f605,f476]) ).

fof(f1163,plain,
    ( ~ c2_1(a2437)
    | c1_1(a2437)
    | ~ spl0_67
    | ~ spl0_162 ),
    inference(resolution,[],[f506,f1039]) ).

fof(f1147,plain,
    ( spl0_84
    | spl0_27
    | ~ spl0_63
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1144,f529,f486,f317,f589]) ).

fof(f589,plain,
    ( spl0_84
  <=> c0_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f317,plain,
    ( spl0_27
  <=> c2_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f529,plain,
    ( spl0_72
  <=> c1_1(a2412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1144,plain,
    ( c2_1(a2412)
    | c0_1(a2412)
    | ~ spl0_63
    | ~ spl0_72 ),
    inference(resolution,[],[f487,f531]) ).

fof(f531,plain,
    ( c1_1(a2412)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f1137,plain,
    ( spl0_105
    | spl0_169
    | ~ spl0_56
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1124,f976,f453,f1134,f704]) ).

fof(f704,plain,
    ( spl0_105
  <=> c0_1(a2428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1124,plain,
    ( c1_1(a2428)
    | c0_1(a2428)
    | ~ spl0_56
    | spl0_153 ),
    inference(resolution,[],[f454,f978]) ).

fof(f978,plain,
    ( ~ c2_1(a2428)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f1132,plain,
    ( spl0_137
    | spl0_160
    | ~ spl0_56
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1115,f721,f453,f1024,f884]) ).

fof(f1115,plain,
    ( c1_1(a2435)
    | c0_1(a2435)
    | ~ spl0_56
    | spl0_108 ),
    inference(resolution,[],[f454,f723]) ).

fof(f723,plain,
    ( ~ c2_1(a2435)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f1131,plain,
    ( spl0_166
    | spl0_109
    | ~ spl0_56
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1118,f892,f453,f728,f1099]) ).

fof(f1118,plain,
    ( c1_1(a2416)
    | c0_1(a2416)
    | ~ spl0_56
    | spl0_138 ),
    inference(resolution,[],[f454,f894]) ).

fof(f894,plain,
    ( ~ c2_1(a2416)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f1130,plain,
    ( spl0_168
    | spl0_149
    | spl0_5
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1125,f453,f221,f956,f1127]) ).

fof(f1125,plain,
    ( c1_1(a2404)
    | c0_1(a2404)
    | spl0_5
    | ~ spl0_56 ),
    inference(resolution,[],[f454,f223]) ).

fof(f223,plain,
    ( ~ c2_1(a2404)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f1108,plain,
    ( spl0_144
    | spl0_37
    | ~ spl0_51
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1106,f818,f430,f362,f926]) ).

fof(f926,plain,
    ( spl0_144
  <=> c0_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f362,plain,
    ( spl0_37
  <=> c1_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f818,plain,
    ( spl0_125
  <=> c2_1(a2413) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1106,plain,
    ( c1_1(a2413)
    | c0_1(a2413)
    | ~ spl0_51
    | ~ spl0_125 ),
    inference(resolution,[],[f431,f820]) ).

fof(f820,plain,
    ( c2_1(a2413)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f1102,plain,
    ( spl0_166
    | spl0_109
    | ~ spl0_38
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1095,f524,f368,f728,f1099]) ).

fof(f1095,plain,
    ( c1_1(a2416)
    | c0_1(a2416)
    | ~ spl0_38
    | ~ spl0_71 ),
    inference(resolution,[],[f369,f526]) ).

fof(f1097,plain,
    ( spl0_10
    | spl0_59
    | ~ spl0_38
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1094,f462,f368,f467,f243]) ).

fof(f1094,plain,
    ( c0_1(a2417)
    | c1_1(a2417)
    | ~ spl0_38
    | ~ spl0_58 ),
    inference(resolution,[],[f369,f464]) ).

fof(f1096,plain,
    ( spl0_160
    | spl0_137
    | ~ spl0_38
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1091,f994,f368,f884,f1024]) ).

fof(f1091,plain,
    ( c0_1(a2435)
    | c1_1(a2435)
    | ~ spl0_38
    | ~ spl0_156 ),
    inference(resolution,[],[f369,f996]) ).

fof(f1088,plain,
    ( spl0_82
    | ~ spl0_107
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1087,f898,f210,f716,f575]) ).

fof(f575,plain,
    ( spl0_82
  <=> c2_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f716,plain,
    ( spl0_107
  <=> c1_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f898,plain,
    ( spl0_139
  <=> c3_1(a2422) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1087,plain,
    ( ~ c1_1(a2422)
    | c2_1(a2422)
    | ~ spl0_2
    | ~ spl0_139 ),
    inference(resolution,[],[f900,f211]) ).

fof(f900,plain,
    ( c3_1(a2422)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f1084,plain,
    ( ~ spl0_165
    | spl0_59
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1077,f462,f345,f467,f1081]) ).

fof(f1077,plain,
    ( c0_1(a2417)
    | ~ c2_1(a2417)
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(resolution,[],[f346,f464]) ).

fof(f1079,plain,
    ( ~ spl0_159
    | spl0_155
    | ~ spl0_33
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1076,f904,f345,f988,f1015]) ).

fof(f1076,plain,
    ( c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ spl0_33
    | ~ spl0_140 ),
    inference(resolution,[],[f346,f906]) ).

fof(f1072,plain,
    ( ~ spl0_164
    | spl0_143
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1062,f349,f292,f921,f1069]) ).

fof(f1062,plain,
    ( c3_1(a2403)
    | ~ c0_1(a2403)
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(resolution,[],[f293,f351]) ).

fof(f1021,plain,
    ( spl0_155
    | ~ spl0_114
    | ~ spl0_4
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1020,f904,f217,f755,f988]) ).

fof(f1020,plain,
    ( ~ c1_1(a2432)
    | c0_1(a2432)
    | ~ spl0_4
    | ~ spl0_140 ),
    inference(resolution,[],[f218,f906]) ).

fof(f1018,plain,
    ( ~ spl0_114
    | spl0_159
    | ~ spl0_2
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1013,f904,f210,f1015,f755]) ).

fof(f1013,plain,
    ( c2_1(a2432)
    | ~ c1_1(a2432)
    | ~ spl0_2
    | ~ spl0_140 ),
    inference(resolution,[],[f211,f906]) ).

fof(f1005,plain,
    ( ~ spl0_1
    | spl0_21
    | spl0_81
    | spl0_18 ),
    inference(avatar_split_clause,[],[f187,f278,f571,f292,f206]) ).

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

fof(f278,plain,
    ( spl0_18
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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

fof(f1004,plain,
    ( ~ spl0_43
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f126,f1001,f392]) ).

fof(f392,plain,
    ( spl0_43
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f126,axiom,
    ( ~ c1_1(a2407)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f998,plain,
    ( spl0_102
    | spl0_16
    | spl0_101
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f206,f683,f269,f687]) ).

fof(f269,plain,
    ( spl0_16
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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

fof(f997,plain,
    ( ~ spl0_3
    | spl0_156 ),
    inference(avatar_split_clause,[],[f59,f994,f213]) ).

fof(f213,plain,
    ( spl0_3
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f991,plain,
    ( ~ spl0_73
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f102,f988,f534]) ).

fof(f534,plain,
    ( spl0_73
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

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

fof(f986,plain,
    ( ~ spl0_65
    | spl0_154 ),
    inference(avatar_split_clause,[],[f63,f983,f496]) ).

fof(f496,plain,
    ( spl0_65
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f63,axiom,
    ( c3_1(a2427)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f981,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_42
    | spl0_21 ),
    inference(avatar_split_clause,[],[f193,f292,f387,f210,f206]) ).

fof(f387,plain,
    ( spl0_42
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

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

fof(f980,plain,
    ( ~ spl0_1
    | spl0_23
    | spl0_60
    | spl0_25 ),
    inference(avatar_split_clause,[],[f170,f308,f472,f300,f206]) ).

fof(f472,plain,
    ( spl0_60
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f308,plain,
    ( spl0_25
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

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

fof(f979,plain,
    ( ~ spl0_53
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f104,f976,f439]) ).

fof(f439,plain,
    ( spl0_53
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f104,axiom,
    ( ~ c2_1(a2428)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f974,plain,
    ( ~ spl0_16
    | spl0_152 ),
    inference(avatar_split_clause,[],[f56,f971,f269]) ).

fof(f56,axiom,
    ( c3_1(a2455)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f969,plain,
    ( ~ spl0_151
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f90,f260,f966]) ).

fof(f260,plain,
    ( spl0_14
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f964,plain,
    ( spl0_150
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f73,f296,f961]) ).

fof(f296,plain,
    ( spl0_22
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f73,axiom,
    ( ~ hskp10
    | c0_1(a2414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f959,plain,
    ( ~ spl0_6
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f129,f956,f225]) ).

fof(f225,plain,
    ( spl0_6
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f953,plain,
    ( spl0_148
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f80,f433,f950]) ).

fof(f433,plain,
    ( spl0_52
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

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

fof(f948,plain,
    ( ~ spl0_1
    | spl0_117
    | spl0_80
    | spl0_63 ),
    inference(avatar_split_clause,[],[f201,f486,f568,f771,f206]) ).

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

fof(f947,plain,
    ( spl0_147
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f48,f377,f944]) ).

fof(f377,plain,
    ( spl0_40
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c1_1(a2406) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f942,plain,
    ( ~ spl0_70
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f122,f939,f519]) ).

fof(f519,plain,
    ( spl0_70
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

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

fof(f936,plain,
    ( spl0_35
    | spl0_56
    | ~ spl0_1
    | spl0_67 ),
    inference(avatar_split_clause,[],[f173,f505,f206,f453,f353]) ).

fof(f353,plain,
    ( spl0_35
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

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

fof(f935,plain,
    ( spl0_35
    | spl0_67
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f206,f687,f505,f353]) ).

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

fof(f934,plain,
    ( ~ spl0_145
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f97,f411,f931]) ).

fof(f411,plain,
    ( spl0_47
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f97,axiom,
    ( ~ hskp22
    | ~ c1_1(a2453) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f929,plain,
    ( ~ spl0_36
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f118,f926,f358]) ).

fof(f358,plain,
    ( spl0_36
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

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

fof(f924,plain,
    ( ~ spl0_143
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f133,f353,f921]) ).

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

fof(f918,plain,
    ( spl0_142
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f68,f278,f915]) ).

fof(f68,axiom,
    ( ~ hskp14
    | c2_1(a2420) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f912,plain,
    ( ~ spl0_14
    | spl0_141 ),
    inference(avatar_split_clause,[],[f51,f909,f260]) ).

fof(f51,axiom,
    ( c0_1(a2484)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f907,plain,
    ( spl0_140
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f61,f534,f904]) ).

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

fof(f902,plain,
    ( spl0_7
    | spl0_39
    | spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f206,f256,f372,f230]) ).

fof(f230,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f372,plain,
    ( spl0_39
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f167,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | hskp24
      | hskp3
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f901,plain,
    ( spl0_139
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f66,f341,f898]) ).

fof(f341,plain,
    ( spl0_32
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

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

fof(f896,plain,
    ( ~ spl0_1
    | spl0_18
    | spl0_74
    | spl0_16 ),
    inference(avatar_split_clause,[],[f168,f269,f539,f278,f206]) ).

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

fof(f895,plain,
    ( ~ spl0_30
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f115,f892,f331]) ).

fof(f331,plain,
    ( spl0_30
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

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

fof(f890,plain,
    ( spl0_18
    | ~ spl0_1
    | spl0_35
    | spl0_88 ),
    inference(avatar_split_clause,[],[f138,f611,f353,f206,f278]) ).

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

fof(f887,plain,
    ( ~ spl0_3
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f100,f884,f213]) ).

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

fof(f882,plain,
    ( ~ spl0_39
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f94,f879,f372]) ).

fof(f94,axiom,
    ( ~ c3_1(a2468)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f876,plain,
    ( ~ spl0_30
    | spl0_1 ),
    inference(avatar_split_clause,[],[f21,f206,f331]) ).

fof(f21,axiom,
    ( ndr1_0
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f875,plain,
    ( ~ spl0_47
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f98,f872,f411]) ).

fof(f98,axiom,
    ( ~ c2_1(a2453)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f870,plain,
    ( ~ spl0_134
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f92,f416,f867]) ).

fof(f416,plain,
    ( spl0_48
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f92,axiom,
    ( ~ hskp25
    | ~ c3_1(a2478) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f865,plain,
    ( ~ spl0_60
    | spl0_133 ),
    inference(avatar_split_clause,[],[f57,f862,f472]) ).

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

fof(f859,plain,
    ( ~ spl0_40
    | spl0_132 ),
    inference(avatar_split_clause,[],[f50,f856,f377]) ).

fof(f50,axiom,
    ( c3_1(a2406)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f854,plain,
    ( spl0_131
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f45,f248,f851]) ).

fof(f248,plain,
    ( spl0_11
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c0_1(a2409) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f849,plain,
    ( ~ spl0_70
    | spl0_130 ),
    inference(avatar_split_clause,[],[f76,f846,f519]) ).

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

fof(f844,plain,
    ( spl0_129
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f47,f248,f841]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c3_1(a2409) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f839,plain,
    ( ~ spl0_20
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f124,f836,f287]) ).

fof(f287,plain,
    ( spl0_20
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

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

fof(f834,plain,
    ( ~ spl0_1
    | spl0_88
    | spl0_2
    | spl0_104 ),
    inference(avatar_split_clause,[],[f200,f698,f210,f611,f206]) ).

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

fof(f833,plain,
    ( spl0_52
    | spl0_47
    | ~ spl0_1
    | spl0_117 ),
    inference(avatar_split_clause,[],[f147,f771,f206,f411,f433]) ).

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

fof(f832,plain,
    ( spl0_51
    | ~ spl0_1
    | spl0_43
    | spl0_4 ),
    inference(avatar_split_clause,[],[f178,f217,f392,f206,f430]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | hskp4
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f831,plain,
    ( spl0_11
    | spl0_127
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f206,f430,f829,f248]) ).

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

fof(f827,plain,
    ( ~ spl0_1
    | spl0_70
    | spl0_48
    | spl0_80 ),
    inference(avatar_split_clause,[],[f164,f568,f416,f519,f206]) ).

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

fof(f826,plain,
    ( spl0_126
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f43,f387,f823]) ).

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

fof(f821,plain,
    ( spl0_125
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f74,f358,f818]) ).

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

fof(f816,plain,
    ( ~ spl0_1
    | spl0_23
    | spl0_21
    | spl0_118 ),
    inference(avatar_split_clause,[],[f202,f774,f292,f300,f206]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X2)
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f815,plain,
    ( ~ spl0_16
    | spl0_124 ),
    inference(avatar_split_clause,[],[f55,f812,f269]) ).

fof(f55,axiom,
    ( c2_1(a2455)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f810,plain,
    ( ~ spl0_1
    | spl0_102
    | spl0_64
    | spl0_22 ),
    inference(avatar_split_clause,[],[f148,f296,f491,f687,f206]) ).

fof(f491,plain,
    ( spl0_64
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp10
      | hskp16
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f809,plain,
    ( spl0_42
    | spl0_117
    | ~ spl0_1
    | spl0_60 ),
    inference(avatar_split_clause,[],[f146,f472,f206,f771,f387]) ).

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

fof(f808,plain,
    ( ~ spl0_123
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f134,f308,f805]) ).

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

fof(f803,plain,
    ( ~ spl0_1
    | spl0_73
    | spl0_104
    | spl0_118 ),
    inference(avatar_split_clause,[],[f183,f774,f698,f534,f206]) ).

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

fof(f802,plain,
    ( ~ spl0_1
    | spl0_56
    | spl0_51
    | spl0_95 ),
    inference(avatar_split_clause,[],[f196,f649,f430,f453,f206]) ).

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

fof(f801,plain,
    ( spl0_42
    | spl0_6
    | ~ spl0_1
    | spl0_101 ),
    inference(avatar_split_clause,[],[f152,f683,f206,f225,f387]) ).

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

fof(f800,plain,
    ( ~ spl0_11
    | spl0_122 ),
    inference(avatar_split_clause,[],[f46,f797,f248]) ).

fof(f46,axiom,
    ( c2_1(a2409)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f793,plain,
    ( spl0_121
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f54,f372,f790]) ).

fof(f54,axiom,
    ( ~ hskp24
    | c1_1(a2468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f787,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_38 ),
    inference(avatar_split_clause,[],[f136,f368,f239,f206]) ).

fof(f239,plain,
    ( spl0_9
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

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

fof(f786,plain,
    ( spl0_120
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f44,f387,f783]) ).

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

fof(f781,plain,
    ( ~ spl0_119
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f91,f416,f778]) ).

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

fof(f763,plain,
    ( ~ spl0_115
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f106,f496,f760]) ).

fof(f106,axiom,
    ( ~ hskp17
    | ~ c1_1(a2427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f758,plain,
    ( spl0_114
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f60,f534,f755]) ).

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

fof(f753,plain,
    ( spl0_75
    | ~ spl0_1
    | spl0_56
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f210,f453,f206,f542]) ).

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

fof(f747,plain,
    ( ~ spl0_64
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f107,f744,f491]) ).

fof(f107,axiom,
    ( ~ c2_1(a2425)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f742,plain,
    ( spl0_111
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f49,f377,f739]) ).

fof(f49,axiom,
    ( ~ hskp28
    | c2_1(a2406) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f737,plain,
    ( spl0_36
    | ~ spl0_1
    | spl0_81
    | spl0_25 ),
    inference(avatar_split_clause,[],[f149,f308,f571,f206,f358]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp0
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f736,plain,
    ( ~ spl0_53
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f105,f733,f439]) ).

fof(f105,axiom,
    ( ~ c3_1(a2428)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f731,plain,
    ( ~ spl0_30
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f114,f728,f331]) ).

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

fof(f724,plain,
    ( ~ spl0_3
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f101,f721,f213]) ).

fof(f101,axiom,
    ( ~ c2_1(a2435)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f719,plain,
    ( spl0_107
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f65,f341,f716]) ).

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

fof(f707,plain,
    ( ~ spl0_53
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f103,f704,f439]) ).

fof(f103,axiom,
    ( ~ c0_1(a2428)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f701,plain,
    ( ~ spl0_1
    | spl0_73
    | spl0_80
    | spl0_48 ),
    inference(avatar_split_clause,[],[f163,f416,f568,f534,f206]) ).

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

fof(f700,plain,
    ( spl0_9
    | ~ spl0_1
    | spl0_104
    | spl0_30 ),
    inference(avatar_split_clause,[],[f154,f331,f698,f206,f239]) ).

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

fof(f694,plain,
    ( ~ spl0_1
    | spl0_56
    | spl0_2
    | spl0_101 ),
    inference(avatar_split_clause,[],[f198,f683,f210,f453,f206]) ).

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

fof(f685,plain,
    ( ~ spl0_1
    | spl0_66
    | spl0_101
    | spl0_95 ),
    inference(avatar_split_clause,[],[f203,f649,f683,f501,f206]) ).

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

fof(f681,plain,
    ( ~ spl0_1
    | spl0_33
    | spl0_67
    | spl0_6 ),
    inference(avatar_split_clause,[],[f192,f225,f505,f345,f206]) ).

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

fof(f675,plain,
    ( ~ spl0_1
    | spl0_22
    | spl0_67
    | spl0_38 ),
    inference(avatar_split_clause,[],[f181,f368,f505,f296,f206]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | hskp10
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f674,plain,
    ( ~ spl0_99
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f132,f353,f671]) ).

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

fof(f668,plain,
    ( spl0_60
    | spl0_4
    | spl0_65
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f206,f496,f217,f472]) ).

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

fof(f667,plain,
    ( ~ spl0_52
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f125,f664,f433]) ).

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

fof(f656,plain,
    ( ~ spl0_64
    | spl0_96 ),
    inference(avatar_split_clause,[],[f64,f653,f491]) ).

fof(f64,axiom,
    ( c0_1(a2425)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f647,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_81
    | spl0_64 ),
    inference(avatar_split_clause,[],[f150,f491,f571,f239,f206]) ).

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

fof(f646,plain,
    ( spl0_14
    | spl0_42
    | spl0_73 ),
    inference(avatar_split_clause,[],[f34,f534,f387,f260]) ).

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

fof(f644,plain,
    ( ~ spl0_94
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f93,f372,f641]) ).

fof(f93,axiom,
    ( ~ hskp24
    | ~ c0_1(a2468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f639,plain,
    ( ~ spl0_93
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f117,f296,f636]) ).

fof(f117,axiom,
    ( ~ hskp10
    | ~ c3_1(a2414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f634,plain,
    ( ~ spl0_92
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f110,f278,f631]) ).

fof(f110,axiom,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f628,plain,
    ( spl0_91
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f82,f230,f625]) ).

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

fof(f623,plain,
    ( ~ spl0_25
    | spl0_90 ),
    inference(avatar_split_clause,[],[f85,f620,f308]) ).

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

fof(f618,plain,
    ( ~ spl0_64
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f108,f615,f491]) ).

fof(f108,axiom,
    ( ~ c3_1(a2425)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f608,plain,
    ( spl0_87
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f58,f472,f605]) ).

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

fof(f603,plain,
    ( spl0_86
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f67,f278,f600]) ).

fof(f67,axiom,
    ( ~ hskp14
    | c1_1(a2420) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f598,plain,
    ( spl0_9
    | spl0_74
    | ~ spl0_1
    | spl0_85 ),
    inference(avatar_split_clause,[],[f189,f596,f206,f539,f239]) ).

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

fof(f594,plain,
    ( spl0_73
    | ~ spl0_1
    | spl0_52
    | spl0_75 ),
    inference(avatar_split_clause,[],[f151,f542,f433,f206,f534]) ).

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

fof(f592,plain,
    ( ~ spl0_84
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f120,f313,f589]) ).

fof(f313,plain,
    ( spl0_26
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c0_1(a2412) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f587,plain,
    ( spl0_25
    | spl0_11
    | ~ spl0_1
    | spl0_63 ),
    inference(avatar_split_clause,[],[f142,f486,f206,f248,f308]) ).

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

fof(f586,plain,
    ( spl0_36
    | spl0_26
    | spl0_70 ),
    inference(avatar_split_clause,[],[f38,f519,f313,f358]) ).

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

fof(f585,plain,
    ( ~ spl0_47
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f96,f582,f411]) ).

fof(f96,axiom,
    ( ~ c0_1(a2453)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f578,plain,
    ( ~ spl0_82
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f109,f341,f575]) ).

fof(f109,axiom,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f573,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_80
    | spl0_81 ),
    inference(avatar_split_clause,[],[f186,f571,f568,f225,f206]) ).

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

fof(f566,plain,
    ( spl0_79
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f62,f496,f563]) ).

fof(f62,axiom,
    ( ~ hskp17
    | c2_1(a2427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f561,plain,
    ( ~ spl0_78
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f123,f519,f558]) ).

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

fof(f555,plain,
    ( spl0_20
    | ~ spl0_1
    | spl0_60
    | spl0_33 ),
    inference(avatar_split_clause,[],[f158,f345,f472,f206,f287]) ).

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

fof(f549,plain,
    ( ~ spl0_42
    | spl0_76 ),
    inference(avatar_split_clause,[],[f42,f546,f387]) ).

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

fof(f544,plain,
    ( spl0_67
    | ~ spl0_1
    | spl0_74
    | spl0_75 ),
    inference(avatar_split_clause,[],[f204,f542,f539,f206,f505]) ).

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

fof(f532,plain,
    ( spl0_72
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f75,f313,f529]) ).

fof(f75,axiom,
    ( ~ hskp8
    | c1_1(a2412) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f527,plain,
    ( spl0_71
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f72,f331,f524]) ).

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

fof(f513,plain,
    ( spl0_68
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f79,f433,f510]) ).

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

fof(f508,plain,
    ( spl0_35
    | spl0_36
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f206,f217,f358,f353]) ).

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

fof(f503,plain,
    ( spl0_3
    | spl0_53
    | ~ spl0_1
    | spl0_66 ),
    inference(avatar_split_clause,[],[f169,f501,f206,f439,f213]) ).

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

fof(f499,plain,
    ( spl0_53
    | spl0_65
    | spl0_63
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f206,f486,f496,f439]) ).

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

fof(f489,plain,
    ( spl0_1
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f6,f260,f206]) ).

fof(f6,axiom,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f488,plain,
    ( ~ spl0_1
    | spl0_32
    | spl0_63
    | spl0_13 ),
    inference(avatar_split_clause,[],[f188,f256,f486,f341,f206]) ).

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

fof(f484,plain,
    ( ~ spl0_62
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f131,f225,f481]) ).

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

fof(f479,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f99,f476,f472]) ).

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

fof(f470,plain,
    ( ~ spl0_59
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f112,f239,f467]) ).

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

fof(f465,plain,
    ( ~ spl0_9
    | spl0_58 ),
    inference(avatar_split_clause,[],[f71,f462,f239]) ).

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

fof(f460,plain,
    ( ~ spl0_48
    | spl0_57 ),
    inference(avatar_split_clause,[],[f53,f457,f416]) ).

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

fof(f455,plain,
    ( ~ spl0_1
    | spl0_25
    | spl0_38
    | spl0_56 ),
    inference(avatar_split_clause,[],[f172,f453,f368,f308,f206]) ).

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

fof(f437,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f24,f313,f206]) ).

fof(f24,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f436,plain,
    ( spl0_33
    | spl0_51
    | spl0_52
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f206,f433,f430,f345]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | 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',clause179) ).

fof(f428,plain,
    ( ~ spl0_50
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f127,f392,f425]) ).

fof(f127,axiom,
    ( ~ hskp4
    | ~ c2_1(a2407) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f409,plain,
    ( ~ spl0_7
    | spl0_46 ),
    inference(avatar_split_clause,[],[f83,f406,f230]) ).

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

fof(f404,plain,
    ( ~ spl0_1
    | spl0_40
    | spl0_36
    | spl0_33 ),
    inference(avatar_split_clause,[],[f159,f345,f358,f377,f206]) ).

fof(f159,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | hskp9
      | hskp28
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f403,plain,
    ( spl0_20
    | spl0_16
    | ~ spl0_1
    | spl0_45 ),
    inference(avatar_split_clause,[],[f166,f401,f206,f269,f287]) ).

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

fof(f399,plain,
    ( ~ spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f81,f396,f392]) ).

fof(f81,axiom,
    ( c0_1(a2407)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f385,plain,
    ( ~ spl0_41
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f116,f296,f382]) ).

fof(f116,axiom,
    ( ~ hskp10
    | ~ c1_1(a2414) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f370,plain,
    ( ~ spl0_1
    | spl0_30
    | spl0_38
    | spl0_20 ),
    inference(avatar_split_clause,[],[f141,f287,f368,f331,f206]) ).

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

fof(f365,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f119,f362,f358]) ).

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

fof(f356,plain,
    ( spl0_34
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f84,f353,f349]) ).

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

fof(f347,plain,
    ( spl0_32
    | ~ spl0_1
    | spl0_33 ),
    inference(avatar_split_clause,[],[f145,f345,f206,f341]) ).

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

fof(f339,plain,
    ( spl0_31
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f77,f287,f336]) ).

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

fof(f334,plain,
    ( spl0_26
    | spl0_14
    | spl0_30 ),
    inference(avatar_split_clause,[],[f35,f331,f260,f313]) ).

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

fof(f320,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f121,f317,f313]) ).

fof(f121,axiom,
    ( ~ c2_1(a2412)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f311,plain,
    ( spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f86,f308,f304]) ).

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

fof(f302,plain,
    ( spl0_22
    | ~ spl0_1
    | spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f194,f300,f292,f206,f296]) ).

fof(f194,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp10
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f290,plain,
    ( spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f78,f287,f283]) ).

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

fof(f276,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f95,f273,f269]) ).

fof(f95,axiom,
    ( ~ c0_1(a2455)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f267,plain,
    ( ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f52,f264,f260]) ).

fof(f52,axiom,
    ( c1_1(a2484)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f258,plain,
    ( spl0_3
    | spl0_12
    | ~ spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f195,f256,f206,f253,f213]) ).

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

fof(f246,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f113,f243,f239]) ).

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

fof(f237,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f128,f234,f230]) ).

fof(f128,axiom,
    ( ~ c3_1(a2405)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f228,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f130,f225,f221]) ).

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

fof(f219,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f190,f217,f213,f210,f206]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN488-1 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:59:39 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (5558)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.47  % (5534)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.48  % (5550)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49  % (5542)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (5531)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (5535)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  Detected maximum model sizes of [32]
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (5552)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (5539)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (5544)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51  % (5547)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (5533)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (5536)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (5551)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (5543)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (5541)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (5536)Instruction limit reached!
% 0.19/0.53  % (5536)------------------------------
% 0.19/0.53  % (5536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5536)Termination reason: Unknown
% 0.19/0.53  % (5536)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (5536)Memory used [KB]: 6012
% 0.19/0.53  % (5536)Time elapsed: 0.092 s
% 0.19/0.53  % (5536)Instructions burned: 7 (million)
% 0.19/0.53  % (5536)------------------------------
% 0.19/0.53  % (5536)------------------------------
% 0.19/0.53  % (5529)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (5530)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (5557)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (5548)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  TRYING [4]
% 0.19/0.54  % (5532)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (5549)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54  % (5554)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (5546)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (5553)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (5537)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (5531)Instruction limit reached!
% 0.19/0.54  % (5531)------------------------------
% 0.19/0.54  % (5531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5537)Instruction limit reached!
% 0.19/0.54  % (5537)------------------------------
% 0.19/0.54  % (5537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5537)Termination reason: Unknown
% 0.19/0.54  % (5537)Termination phase: Blocked clause elimination
% 0.19/0.54  
% 0.19/0.54  % (5537)Memory used [KB]: 1151
% 0.19/0.54  % (5537)Time elapsed: 0.002 s
% 0.19/0.54  % (5537)Instructions burned: 3 (million)
% 0.19/0.54  % (5537)------------------------------
% 0.19/0.54  % (5537)------------------------------
% 0.19/0.55  % (5540)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (5538)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (5545)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (5556)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55  % (5558)First to succeed.
% 0.19/0.55  % (5555)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  % (5534)Instruction limit reached!
% 0.19/0.55  % (5534)------------------------------
% 0.19/0.55  % (5534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  Detected maximum model sizes of [32]
% 0.19/0.56  TRYING [1]
% 0.19/0.56  TRYING [2]
% 0.19/0.56  % (5530)Refutation not found, incomplete strategy% (5530)------------------------------
% 0.19/0.56  % (5530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  TRYING [3]
% 0.19/0.57  Detected maximum model sizes of [32]
% 0.19/0.57  % (5534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (5534)Termination reason: Unknown
% 0.19/0.57  % (5534)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (5534)Memory used [KB]: 6908
% 0.19/0.57  % (5534)Time elapsed: 0.173 s
% 0.19/0.57  % (5534)Instructions burned: 48 (million)
% 0.19/0.57  % (5534)------------------------------
% 0.19/0.57  % (5534)------------------------------
% 1.67/0.57  % (5531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.57  % (5531)Termination reason: Unknown
% 1.67/0.57  % (5531)Termination phase: Saturation
% 1.67/0.57  
% 1.67/0.57  % (5531)Memory used [KB]: 1279
% 1.67/0.57  % (5531)Time elapsed: 0.149 s
% 1.67/0.57  % (5531)Instructions burned: 39 (million)
% 1.67/0.57  % (5531)------------------------------
% 1.67/0.57  % (5531)------------------------------
% 1.67/0.57  TRYING [1]
% 1.67/0.57  % (5558)Refutation found. Thanks to Tanya!
% 1.67/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.67/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.58  % (5558)------------------------------
% 1.67/0.58  % (5558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58  % (5558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58  % (5558)Termination reason: Refutation
% 1.67/0.58  
% 1.67/0.58  % (5558)Memory used [KB]: 6780
% 1.67/0.58  % (5558)Time elapsed: 0.181 s
% 1.67/0.58  % (5558)Instructions burned: 41 (million)
% 1.67/0.58  % (5558)------------------------------
% 1.67/0.58  % (5558)------------------------------
% 1.67/0.58  % (5528)Success in time 0.228 s
%------------------------------------------------------------------------------