TSTP Solution File: SYN457-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN457-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:03:34 EDT 2024

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  291
% Syntax   : Number of formulae    :  779 (   1 unt;   0 def)
%            Number of atoms       : 2367 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2869 (1281   ~;1423   |;   0   &)
%                                         ( 165 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  205 ( 204 usr; 201 prp; 0-1 aty)
%            Number of functors    :   34 (  34 usr;  34 con; 0-0 aty)
%            Number of variables   :  102 ( 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7367,plain,
    $false,
    inference(avatar_sat_refutation,[],[f688,f693,f703,f753,f763,f768,f778,f783,f803,f823,f828,f843,f853,f858,f863,f878,f888,f908,f953,f978,f988,f1003,f1008,f1028,f1043,f1053,f1083,f1093,f1113,f1123,f1128,f1138,f1143,f1148,f1158,f1168,f1183,f1188,f1203,f1208,f1218,f1228,f1233,f1263,f1273,f1283,f1298,f1303,f1308,f1323,f1328,f1338,f1358,f1368,f1413,f1428,f1438,f1473,f1483,f1488,f1493,f1503,f1508,f1553,f1558,f1583,f1588,f1608,f1633,f1678,f1688,f1693,f1703,f1708,f1723,f1733,f1738,f1743,f1748,f1753,f1768,f1778,f1783,f1788,f1793,f1798,f1803,f1808,f1818,f1823,f1828,f1833,f1838,f1848,f1853,f1858,f1868,f1878,f1883,f1888,f1892,f1896,f1904,f1917,f1921,f1925,f1937,f1941,f1943,f1944,f1945,f1955,f1964,f1975,f1982,f1991,f1996,f1997,f1998,f2011,f2013,f2018,f2023,f2027,f2033,f2038,f2071,f2080,f2160,f2168,f2239,f2392,f2467,f2470,f2547,f2641,f2657,f2785,f2857,f2918,f2937,f3018,f3020,f3105,f3181,f3297,f3370,f3373,f3399,f3454,f3544,f3736,f3745,f3870,f3889,f3914,f3996,f4048,f4054,f4060,f4242,f4294,f4306,f4314,f4739,f5111,f5124,f5195,f5269,f5433,f5436,f5439,f5526,f5533,f5538,f5558,f6008,f6144,f6220,f6343,f6350,f6410,f6493,f6579,f6583,f6939,f6973,f7009,f7066,f7154,f7162,f7164,f7211,f7271,f7273,f7360,f7363,f7365]) ).

fof(f7365,plain,
    ( spl0_373
    | spl0_78
    | spl0_109
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f7364,f1993,f905,f750,f3733]) ).

fof(f3733,plain,
    ( spl0_373
  <=> c2_1(a1660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).

fof(f750,plain,
    ( spl0_78
  <=> c1_1(a1660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f905,plain,
    ( spl0_109
  <=> c0_1(a1660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1993,plain,
    ( spl0_328
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f7364,plain,
    ( c2_1(a1660)
    | spl0_78
    | spl0_109
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f7328,f907]) ).

fof(f907,plain,
    ( ~ c0_1(a1660)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f7328,plain,
    ( c2_1(a1660)
    | c0_1(a1660)
    | spl0_78
    | ~ spl0_328 ),
    inference(resolution,[],[f1994,f752]) ).

fof(f752,plain,
    ( ~ c1_1(a1660)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f1994,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_328 ),
    inference(avatar_component_clause,[],[f1993]) ).

fof(f7363,plain,
    ( spl0_92
    | spl0_103
    | spl0_171
    | ~ spl0_328 ),
    inference(avatar_contradiction_clause,[],[f7362]) ).

fof(f7362,plain,
    ( $false
    | spl0_92
    | spl0_103
    | spl0_171
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f7361,f877]) ).

fof(f877,plain,
    ( ~ c0_1(a1677)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f875,plain,
    ( spl0_103
  <=> c0_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f7361,plain,
    ( c0_1(a1677)
    | spl0_92
    | spl0_171
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f7327,f1217]) ).

fof(f1217,plain,
    ( ~ c2_1(a1677)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1215,plain,
    ( spl0_171
  <=> c2_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f7327,plain,
    ( c2_1(a1677)
    | c0_1(a1677)
    | spl0_92
    | ~ spl0_328 ),
    inference(resolution,[],[f1994,f822]) ).

fof(f822,plain,
    ( ~ c1_1(a1677)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_92
  <=> c1_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f7360,plain,
    ( spl0_98
    | spl0_105
    | spl0_164
    | ~ spl0_328 ),
    inference(avatar_contradiction_clause,[],[f7359]) ).

fof(f7359,plain,
    ( $false
    | spl0_98
    | spl0_105
    | spl0_164
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f7358,f887]) ).

fof(f887,plain,
    ( ~ c0_1(a1678)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl0_105
  <=> c0_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f7358,plain,
    ( c0_1(a1678)
    | spl0_98
    | spl0_164
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f7326,f1182]) ).

fof(f1182,plain,
    ( ~ c2_1(a1678)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1180,plain,
    ( spl0_164
  <=> c2_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f7326,plain,
    ( c2_1(a1678)
    | c0_1(a1678)
    | spl0_98
    | ~ spl0_328 ),
    inference(resolution,[],[f1994,f852]) ).

fof(f852,plain,
    ( ~ c1_1(a1678)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_98
  <=> c1_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f7273,plain,
    ( ~ spl0_295
    | ~ spl0_299
    | ~ spl0_309
    | ~ spl0_326 ),
    inference(avatar_contradiction_clause,[],[f7272]) ).

fof(f7272,plain,
    ( $false
    | ~ spl0_295
    | ~ spl0_299
    | ~ spl0_309
    | ~ spl0_326 ),
    inference(subsumption_resolution,[],[f7248,f1857]) ).

fof(f1857,plain,
    ( c2_1(a1676)
    | ~ spl0_299 ),
    inference(avatar_component_clause,[],[f1855]) ).

fof(f1855,plain,
    ( spl0_299
  <=> c2_1(a1676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f7248,plain,
    ( ~ c2_1(a1676)
    | ~ spl0_295
    | ~ spl0_309
    | ~ spl0_326 ),
    inference(resolution,[],[f7243,f1837]) ).

fof(f1837,plain,
    ( c3_1(a1676)
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f1835]) ).

fof(f1835,plain,
    ( spl0_295
  <=> c3_1(a1676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f7243,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_309
    | ~ spl0_326 ),
    inference(subsumption_resolution,[],[f1985,f1912]) ).

fof(f1912,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_309 ),
    inference(avatar_component_clause,[],[f1911]) ).

fof(f1911,plain,
    ( spl0_309
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f1985,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f1984]) ).

fof(f1984,plain,
    ( spl0_326
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f7271,plain,
    ( ~ spl0_215
    | ~ spl0_238
    | ~ spl0_309
    | ~ spl0_326 ),
    inference(avatar_contradiction_clause,[],[f7270]) ).

fof(f7270,plain,
    ( $false
    | ~ spl0_215
    | ~ spl0_238
    | ~ spl0_309
    | ~ spl0_326 ),
    inference(subsumption_resolution,[],[f7247,f1552]) ).

fof(f1552,plain,
    ( c2_1(a1702)
    | ~ spl0_238 ),
    inference(avatar_component_clause,[],[f1550]) ).

fof(f1550,plain,
    ( spl0_238
  <=> c2_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f7247,plain,
    ( ~ c2_1(a1702)
    | ~ spl0_215
    | ~ spl0_309
    | ~ spl0_326 ),
    inference(resolution,[],[f7243,f1437]) ).

fof(f1437,plain,
    ( c3_1(a1702)
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f1435]) ).

fof(f1435,plain,
    ( spl0_215
  <=> c3_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f7211,plain,
    ( spl0_276
    | ~ spl0_301
    | ~ spl0_325
    | ~ spl0_342 ),
    inference(avatar_contradiction_clause,[],[f7210]) ).

fof(f7210,plain,
    ( $false
    | spl0_276
    | ~ spl0_301
    | ~ spl0_325
    | ~ spl0_342 ),
    inference(subsumption_resolution,[],[f7209,f1867]) ).

fof(f1867,plain,
    ( c2_1(a1656)
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f1865]) ).

fof(f1865,plain,
    ( spl0_301
  <=> c2_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f7209,plain,
    ( ~ c2_1(a1656)
    | spl0_276
    | ~ spl0_325
    | ~ spl0_342 ),
    inference(subsumption_resolution,[],[f7176,f1742]) ).

fof(f1742,plain,
    ( ~ c3_1(a1656)
    | spl0_276 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f1740,plain,
    ( spl0_276
  <=> c3_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f7176,plain,
    ( c3_1(a1656)
    | ~ c2_1(a1656)
    | ~ spl0_325
    | ~ spl0_342 ),
    inference(resolution,[],[f1981,f2370]) ).

fof(f2370,plain,
    ( c1_1(a1656)
    | ~ spl0_342 ),
    inference(avatar_component_clause,[],[f2368]) ).

fof(f2368,plain,
    ( spl0_342
  <=> c1_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f1981,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_325 ),
    inference(avatar_component_clause,[],[f1980]) ).

fof(f1980,plain,
    ( spl0_325
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f7164,plain,
    ( ~ spl0_390
    | spl0_161
    | ~ spl0_222
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f7163,f1969,f1470,f1165,f6340]) ).

fof(f6340,plain,
    ( spl0_390
  <=> c1_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).

fof(f1165,plain,
    ( spl0_161
  <=> c2_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1470,plain,
    ( spl0_222
  <=> c3_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f1969,plain,
    ( spl0_322
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f7163,plain,
    ( ~ c1_1(a1655)
    | spl0_161
    | ~ spl0_222
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f7148,f1167]) ).

fof(f1167,plain,
    ( ~ c2_1(a1655)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f7148,plain,
    ( c2_1(a1655)
    | ~ c1_1(a1655)
    | ~ spl0_222
    | ~ spl0_322 ),
    inference(resolution,[],[f1970,f1472]) ).

fof(f1472,plain,
    ( c3_1(a1655)
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f1970,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_322 ),
    inference(avatar_component_clause,[],[f1969]) ).

fof(f7162,plain,
    ( ~ spl0_380
    | spl0_152
    | ~ spl0_228
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f7161,f1969,f1500,f1120,f4311]) ).

fof(f4311,plain,
    ( spl0_380
  <=> c1_1(a1704) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).

fof(f1120,plain,
    ( spl0_152
  <=> c2_1(a1704) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1500,plain,
    ( spl0_228
  <=> c3_1(a1704) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f7161,plain,
    ( ~ c1_1(a1704)
    | spl0_152
    | ~ spl0_228
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f7144,f1122]) ).

fof(f1122,plain,
    ( ~ c2_1(a1704)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f7144,plain,
    ( c2_1(a1704)
    | ~ c1_1(a1704)
    | ~ spl0_228
    | ~ spl0_322 ),
    inference(resolution,[],[f1970,f1502]) ).

fof(f1502,plain,
    ( c3_1(a1704)
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f1500]) ).

fof(f7154,plain,
    ( ~ spl0_356
    | spl0_157
    | ~ spl0_210
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f7153,f1969,f1410,f1145,f2915]) ).

fof(f2915,plain,
    ( spl0_356
  <=> c1_1(a1724) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).

fof(f1145,plain,
    ( spl0_157
  <=> c2_1(a1724) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1410,plain,
    ( spl0_210
  <=> c3_1(a1724) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f7153,plain,
    ( ~ c1_1(a1724)
    | spl0_157
    | ~ spl0_210
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f7131,f1147]) ).

fof(f1147,plain,
    ( ~ c2_1(a1724)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1145]) ).

fof(f7131,plain,
    ( c2_1(a1724)
    | ~ c1_1(a1724)
    | ~ spl0_210
    | ~ spl0_322 ),
    inference(resolution,[],[f1970,f1412]) ).

fof(f1412,plain,
    ( c3_1(a1724)
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f7066,plain,
    ( ~ spl0_180
    | ~ spl0_201
    | ~ spl0_307
    | ~ spl0_320 ),
    inference(avatar_contradiction_clause,[],[f7065]) ).

fof(f7065,plain,
    ( $false
    | ~ spl0_180
    | ~ spl0_201
    | ~ spl0_307
    | ~ spl0_320 ),
    inference(subsumption_resolution,[],[f7036,f1367]) ).

fof(f1367,plain,
    ( c0_1(a1638)
    | ~ spl0_201 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1365,plain,
    ( spl0_201
  <=> c0_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f7036,plain,
    ( ~ c0_1(a1638)
    | ~ spl0_180
    | ~ spl0_307
    | ~ spl0_320 ),
    inference(resolution,[],[f6945,f1262]) ).

fof(f1262,plain,
    ( c1_1(a1638)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1260]) ).

fof(f1260,plain,
    ( spl0_180
  <=> c1_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f6945,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_307
    | ~ spl0_320 ),
    inference(subsumption_resolution,[],[f1903,f1963]) ).

fof(f1963,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_320 ),
    inference(avatar_component_clause,[],[f1962]) ).

fof(f1962,plain,
    ( spl0_320
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f1903,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_307 ),
    inference(avatar_component_clause,[],[f1902]) ).

fof(f1902,plain,
    ( spl0_307
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f7009,plain,
    ( ~ spl0_380
    | ~ spl0_228
    | ~ spl0_316
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f6989,f1969,f1939,f1500,f4311]) ).

fof(f1939,plain,
    ( spl0_316
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f6989,plain,
    ( ~ c1_1(a1704)
    | ~ spl0_228
    | ~ spl0_316
    | ~ spl0_322 ),
    inference(resolution,[],[f6944,f1502]) ).

fof(f6944,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_316
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f1970,f1940]) ).

fof(f1940,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f1939]) ).

fof(f6973,plain,
    ( spl0_346
    | spl0_303
    | ~ spl0_305
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f6972,f1931,f1885,f1875,f2599]) ).

fof(f2599,plain,
    ( spl0_346
  <=> c0_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f1875,plain,
    ( spl0_303
  <=> c1_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f1885,plain,
    ( spl0_305
  <=> c3_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f1931,plain,
    ( spl0_314
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f6972,plain,
    ( c0_1(a1674)
    | spl0_303
    | ~ spl0_305
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f6971,f1877]) ).

fof(f1877,plain,
    ( ~ c1_1(a1674)
    | spl0_303 ),
    inference(avatar_component_clause,[],[f1875]) ).

fof(f6971,plain,
    ( c0_1(a1674)
    | c1_1(a1674)
    | ~ spl0_305
    | ~ spl0_314 ),
    inference(resolution,[],[f1887,f1932]) ).

fof(f1932,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_314 ),
    inference(avatar_component_clause,[],[f1931]) ).

fof(f1887,plain,
    ( c3_1(a1674)
    | ~ spl0_305 ),
    inference(avatar_component_clause,[],[f1885]) ).

fof(f6939,plain,
    ( ~ spl0_288
    | ~ spl0_350
    | ~ spl0_283
    | ~ spl0_320 ),
    inference(avatar_split_clause,[],[f6873,f1962,f1775,f2676,f1800]) ).

fof(f1800,plain,
    ( spl0_288
  <=> c0_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f2676,plain,
    ( spl0_350
  <=> c3_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f1775,plain,
    ( spl0_283
  <=> c1_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f6873,plain,
    ( ~ c3_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_283
    | ~ spl0_320 ),
    inference(resolution,[],[f1963,f1777]) ).

fof(f1777,plain,
    ( c1_1(a1637)
    | ~ spl0_283 ),
    inference(avatar_component_clause,[],[f1775]) ).

fof(f6583,plain,
    ( ~ spl0_298
    | ~ spl0_293
    | ~ spl0_316
    | ~ spl0_337 ),
    inference(avatar_split_clause,[],[f6582,f2242,f1939,f1825,f1850]) ).

fof(f1850,plain,
    ( spl0_298
  <=> c2_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f1825,plain,
    ( spl0_293
  <=> c3_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f2242,plain,
    ( spl0_337
  <=> c1_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f6582,plain,
    ( ~ c2_1(a1654)
    | ~ spl0_293
    | ~ spl0_316
    | ~ spl0_337 ),
    inference(subsumption_resolution,[],[f6526,f2244]) ).

fof(f2244,plain,
    ( c1_1(a1654)
    | ~ spl0_337 ),
    inference(avatar_component_clause,[],[f2242]) ).

fof(f6526,plain,
    ( ~ c2_1(a1654)
    | ~ c1_1(a1654)
    | ~ spl0_293
    | ~ spl0_316 ),
    inference(resolution,[],[f1940,f1827]) ).

fof(f1827,plain,
    ( c3_1(a1654)
    | ~ spl0_293 ),
    inference(avatar_component_clause,[],[f1825]) ).

fof(f6579,plain,
    ( ~ spl0_238
    | ~ spl0_184
    | ~ spl0_215
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f6578,f1939,f1435,f1280,f1550]) ).

fof(f1280,plain,
    ( spl0_184
  <=> c1_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f6578,plain,
    ( ~ c2_1(a1702)
    | ~ spl0_184
    | ~ spl0_215
    | ~ spl0_316 ),
    inference(subsumption_resolution,[],[f6520,f1282]) ).

fof(f1282,plain,
    ( c1_1(a1702)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f6520,plain,
    ( ~ c2_1(a1702)
    | ~ c1_1(a1702)
    | ~ spl0_215
    | ~ spl0_316 ),
    inference(resolution,[],[f1940,f1437]) ).

fof(f6493,plain,
    ( spl0_390
    | ~ spl0_192
    | ~ spl0_313
    | ~ spl0_321 ),
    inference(avatar_split_clause,[],[f6481,f1966,f1927,f1320,f6340]) ).

fof(f1320,plain,
    ( spl0_192
  <=> c0_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f1927,plain,
    ( spl0_313
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f1966,plain,
    ( spl0_321
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f6481,plain,
    ( c1_1(a1655)
    | ~ spl0_192
    | ~ spl0_313
    | ~ spl0_321 ),
    inference(resolution,[],[f6433,f1322]) ).

fof(f1322,plain,
    ( c0_1(a1655)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1320]) ).

fof(f6433,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_313
    | ~ spl0_321 ),
    inference(subsumption_resolution,[],[f1928,f1967]) ).

fof(f1967,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_321 ),
    inference(avatar_component_clause,[],[f1966]) ).

fof(f1928,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_313 ),
    inference(avatar_component_clause,[],[f1927]) ).

fof(f6410,plain,
    ( spl0_269
    | ~ spl0_289
    | ~ spl0_321
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f6409,f2296,f1966,f1805,f1705]) ).

fof(f1705,plain,
    ( spl0_269
  <=> c1_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f1805,plain,
    ( spl0_289
  <=> c0_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f2296,plain,
    ( spl0_340
  <=> c2_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f6409,plain,
    ( c1_1(a1667)
    | ~ spl0_289
    | ~ spl0_321
    | ~ spl0_340 ),
    inference(subsumption_resolution,[],[f6394,f1807]) ).

fof(f1807,plain,
    ( c0_1(a1667)
    | ~ spl0_289 ),
    inference(avatar_component_clause,[],[f1805]) ).

fof(f6394,plain,
    ( c1_1(a1667)
    | ~ c0_1(a1667)
    | ~ spl0_321
    | ~ spl0_340 ),
    inference(resolution,[],[f2298,f1967]) ).

fof(f2298,plain,
    ( c2_1(a1667)
    | ~ spl0_340 ),
    inference(avatar_component_clause,[],[f2296]) ).

fof(f6350,plain,
    ( spl0_340
    | spl0_269
    | ~ spl0_291
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f6349,f1977,f1815,f1705,f2296]) ).

fof(f1815,plain,
    ( spl0_291
  <=> c3_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f1977,plain,
    ( spl0_324
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f6349,plain,
    ( c2_1(a1667)
    | spl0_269
    | ~ spl0_291
    | ~ spl0_324 ),
    inference(subsumption_resolution,[],[f6269,f1707]) ).

fof(f1707,plain,
    ( ~ c1_1(a1667)
    | spl0_269 ),
    inference(avatar_component_clause,[],[f1705]) ).

fof(f6269,plain,
    ( c2_1(a1667)
    | c1_1(a1667)
    | ~ spl0_291
    | ~ spl0_324 ),
    inference(resolution,[],[f1978,f1817]) ).

fof(f1817,plain,
    ( c3_1(a1667)
    | ~ spl0_291 ),
    inference(avatar_component_clause,[],[f1815]) ).

fof(f1978,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_324 ),
    inference(avatar_component_clause,[],[f1977]) ).

fof(f6343,plain,
    ( spl0_390
    | spl0_161
    | ~ spl0_222
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f6271,f1977,f1470,f1165,f6340]) ).

fof(f6271,plain,
    ( c2_1(a1655)
    | c1_1(a1655)
    | ~ spl0_222
    | ~ spl0_324 ),
    inference(resolution,[],[f1978,f1472]) ).

fof(f6220,plain,
    ( spl0_269
    | ~ spl0_291
    | ~ spl0_323
    | ~ spl0_324 ),
    inference(avatar_contradiction_clause,[],[f6219]) ).

fof(f6219,plain,
    ( $false
    | spl0_269
    | ~ spl0_291
    | ~ spl0_323
    | ~ spl0_324 ),
    inference(subsumption_resolution,[],[f6178,f1707]) ).

fof(f6178,plain,
    ( c1_1(a1667)
    | ~ spl0_291
    | ~ spl0_323
    | ~ spl0_324 ),
    inference(resolution,[],[f6146,f1817]) ).

fof(f6146,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_323
    | ~ spl0_324 ),
    inference(subsumption_resolution,[],[f1978,f1974]) ).

fof(f1974,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_323 ),
    inference(avatar_component_clause,[],[f1973]) ).

fof(f1973,plain,
    ( spl0_323
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f6144,plain,
    ( ~ spl0_340
    | spl0_269
    | ~ spl0_291
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f6143,f1973,f1815,f1705,f2296]) ).

fof(f6143,plain,
    ( ~ c2_1(a1667)
    | spl0_269
    | ~ spl0_291
    | ~ spl0_323 ),
    inference(subsumption_resolution,[],[f6124,f1707]) ).

fof(f6124,plain,
    ( c1_1(a1667)
    | ~ c2_1(a1667)
    | ~ spl0_291
    | ~ spl0_323 ),
    inference(resolution,[],[f1974,f1817]) ).

fof(f6008,plain,
    ( spl0_350
    | ~ spl0_283
    | ~ spl0_288
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f6007,f1902,f1800,f1775,f2676]) ).

fof(f6007,plain,
    ( c3_1(a1637)
    | ~ spl0_283
    | ~ spl0_288
    | ~ spl0_307 ),
    inference(subsumption_resolution,[],[f5998,f1802]) ).

fof(f1802,plain,
    ( c0_1(a1637)
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f1800]) ).

fof(f5998,plain,
    ( c3_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_283
    | ~ spl0_307 ),
    inference(resolution,[],[f1903,f1777]) ).

fof(f5558,plain,
    ( spl0_269
    | ~ spl0_289
    | ~ spl0_313
    | spl0_340 ),
    inference(avatar_contradiction_clause,[],[f5557]) ).

fof(f5557,plain,
    ( $false
    | spl0_269
    | ~ spl0_289
    | ~ spl0_313
    | spl0_340 ),
    inference(subsumption_resolution,[],[f5556,f1707]) ).

fof(f5556,plain,
    ( c1_1(a1667)
    | ~ spl0_289
    | ~ spl0_313
    | spl0_340 ),
    inference(subsumption_resolution,[],[f5511,f2297]) ).

fof(f2297,plain,
    ( ~ c2_1(a1667)
    | spl0_340 ),
    inference(avatar_component_clause,[],[f2296]) ).

fof(f5511,plain,
    ( c2_1(a1667)
    | c1_1(a1667)
    | ~ spl0_289
    | ~ spl0_313 ),
    inference(resolution,[],[f1928,f1807]) ).

fof(f5538,plain,
    ( spl0_268
    | ~ spl0_285
    | ~ spl0_313
    | spl0_339 ),
    inference(avatar_contradiction_clause,[],[f5537]) ).

fof(f5537,plain,
    ( $false
    | spl0_268
    | ~ spl0_285
    | ~ spl0_313
    | spl0_339 ),
    inference(subsumption_resolution,[],[f5536,f1702]) ).

fof(f1702,plain,
    ( ~ c1_1(a1665)
    | spl0_268 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f1700,plain,
    ( spl0_268
  <=> c1_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f5536,plain,
    ( c1_1(a1665)
    | ~ spl0_285
    | ~ spl0_313
    | spl0_339 ),
    inference(subsumption_resolution,[],[f5486,f2291]) ).

fof(f2291,plain,
    ( ~ c2_1(a1665)
    | spl0_339 ),
    inference(avatar_component_clause,[],[f2290]) ).

fof(f2290,plain,
    ( spl0_339
  <=> c2_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f5486,plain,
    ( c2_1(a1665)
    | c1_1(a1665)
    | ~ spl0_285
    | ~ spl0_313 ),
    inference(resolution,[],[f1928,f1787]) ).

fof(f1787,plain,
    ( c0_1(a1665)
    | ~ spl0_285 ),
    inference(avatar_component_clause,[],[f1785]) ).

fof(f1785,plain,
    ( spl0_285
  <=> c0_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f5533,plain,
    ( spl0_303
    | spl0_304
    | ~ spl0_313
    | ~ spl0_346 ),
    inference(avatar_contradiction_clause,[],[f5532]) ).

fof(f5532,plain,
    ( $false
    | spl0_303
    | spl0_304
    | ~ spl0_313
    | ~ spl0_346 ),
    inference(subsumption_resolution,[],[f5531,f1877]) ).

fof(f5531,plain,
    ( c1_1(a1674)
    | spl0_304
    | ~ spl0_313
    | ~ spl0_346 ),
    inference(subsumption_resolution,[],[f5484,f1882]) ).

fof(f1882,plain,
    ( ~ c2_1(a1674)
    | spl0_304 ),
    inference(avatar_component_clause,[],[f1880]) ).

fof(f1880,plain,
    ( spl0_304
  <=> c2_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f5484,plain,
    ( c2_1(a1674)
    | c1_1(a1674)
    | ~ spl0_313
    | ~ spl0_346 ),
    inference(resolution,[],[f1928,f2600]) ).

fof(f2600,plain,
    ( c0_1(a1674)
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f2599]) ).

fof(f5526,plain,
    ( spl0_80
    | ~ spl0_193
    | ~ spl0_313
    | spl0_353 ),
    inference(avatar_contradiction_clause,[],[f5525]) ).

fof(f5525,plain,
    ( $false
    | spl0_80
    | ~ spl0_193
    | ~ spl0_313
    | spl0_353 ),
    inference(subsumption_resolution,[],[f5524,f762]) ).

fof(f762,plain,
    ( ~ c1_1(a1709)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_80
  <=> c1_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f5524,plain,
    ( c1_1(a1709)
    | ~ spl0_193
    | ~ spl0_313
    | spl0_353 ),
    inference(subsumption_resolution,[],[f5479,f2695]) ).

fof(f2695,plain,
    ( ~ c2_1(a1709)
    | spl0_353 ),
    inference(avatar_component_clause,[],[f2694]) ).

fof(f2694,plain,
    ( spl0_353
  <=> c2_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f5479,plain,
    ( c2_1(a1709)
    | c1_1(a1709)
    | ~ spl0_193
    | ~ spl0_313 ),
    inference(resolution,[],[f1928,f1327]) ).

fof(f1327,plain,
    ( c0_1(a1709)
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f1325,plain,
    ( spl0_193
  <=> c0_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f5439,plain,
    ( spl0_165
    | spl0_81
    | spl0_123
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5438,f2036,f975,f765,f1185]) ).

fof(f1185,plain,
    ( spl0_165
  <=> c2_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f765,plain,
    ( spl0_81
  <=> c1_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f975,plain,
    ( spl0_123
  <=> c3_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2036,plain,
    ( spl0_335
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f5438,plain,
    ( c2_1(a1664)
    | spl0_81
    | spl0_123
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f5437,f977]) ).

fof(f977,plain,
    ( ~ c3_1(a1664)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f5437,plain,
    ( c2_1(a1664)
    | c3_1(a1664)
    | spl0_81
    | ~ spl0_335 ),
    inference(resolution,[],[f767,f2037]) ).

fof(f2037,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_335 ),
    inference(avatar_component_clause,[],[f2036]) ).

fof(f767,plain,
    ( ~ c1_1(a1664)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f5436,plain,
    ( spl0_168
    | spl0_68
    | spl0_125
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5435,f2036,f985,f700,f1200]) ).

fof(f1200,plain,
    ( spl0_168
  <=> c2_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f700,plain,
    ( spl0_68
  <=> c1_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f985,plain,
    ( spl0_125
  <=> c3_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f5435,plain,
    ( c2_1(a1681)
    | spl0_68
    | spl0_125
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f5434,f987]) ).

fof(f987,plain,
    ( ~ c3_1(a1681)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f5434,plain,
    ( c2_1(a1681)
    | c3_1(a1681)
    | spl0_68
    | ~ spl0_335 ),
    inference(resolution,[],[f702,f2037]) ).

fof(f702,plain,
    ( ~ c1_1(a1681)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f5433,plain,
    ( spl0_155
    | spl0_65
    | spl0_144
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5432,f2036,f1080,f685,f1135]) ).

fof(f1135,plain,
    ( spl0_155
  <=> c2_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f685,plain,
    ( spl0_65
  <=> c1_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1080,plain,
    ( spl0_144
  <=> c3_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f5432,plain,
    ( c2_1(a1650)
    | spl0_65
    | spl0_144
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f5431,f1082]) ).

fof(f1082,plain,
    ( ~ c3_1(a1650)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f5431,plain,
    ( c2_1(a1650)
    | c3_1(a1650)
    | spl0_65
    | ~ spl0_335 ),
    inference(resolution,[],[f687,f2037]) ).

fof(f687,plain,
    ( ~ c1_1(a1650)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f5269,plain,
    ( spl0_268
    | ~ spl0_324
    | ~ spl0_335
    | spl0_339 ),
    inference(avatar_contradiction_clause,[],[f5268]) ).

fof(f5268,plain,
    ( $false
    | spl0_268
    | ~ spl0_324
    | ~ spl0_335
    | spl0_339 ),
    inference(subsumption_resolution,[],[f5224,f2291]) ).

fof(f5224,plain,
    ( c2_1(a1665)
    | spl0_268
    | ~ spl0_324
    | ~ spl0_335 ),
    inference(resolution,[],[f5197,f1702]) ).

fof(f5197,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_324
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f1978,f2037]) ).

fof(f5195,plain,
    ( spl0_138
    | spl0_150
    | spl0_66
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5086,f2036,f690,f1110,f1050]) ).

fof(f1050,plain,
    ( spl0_138
  <=> c3_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1110,plain,
    ( spl0_150
  <=> c2_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f690,plain,
    ( spl0_66
  <=> c1_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f5086,plain,
    ( c2_1(a1682)
    | c3_1(a1682)
    | spl0_66
    | ~ spl0_335 ),
    inference(resolution,[],[f2037,f692]) ).

fof(f692,plain,
    ( ~ c1_1(a1682)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f5124,plain,
    ( spl0_373
    | spl0_78
    | spl0_129
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f5123,f2036,f1005,f750,f3733]) ).

fof(f1005,plain,
    ( spl0_129
  <=> c3_1(a1660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f5123,plain,
    ( c2_1(a1660)
    | spl0_78
    | spl0_129
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f5092,f1007]) ).

fof(f1007,plain,
    ( ~ c3_1(a1660)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f5092,plain,
    ( c2_1(a1660)
    | c3_1(a1660)
    | spl0_78
    | ~ spl0_335 ),
    inference(resolution,[],[f2037,f752]) ).

fof(f5111,plain,
    ( spl0_83
    | spl0_136
    | spl0_159
    | ~ spl0_335 ),
    inference(avatar_contradiction_clause,[],[f5110]) ).

fof(f5110,plain,
    ( $false
    | spl0_83
    | spl0_136
    | spl0_159
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f5109,f1042]) ).

fof(f1042,plain,
    ( ~ c3_1(a1691)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1040,plain,
    ( spl0_136
  <=> c3_1(a1691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f5109,plain,
    ( c3_1(a1691)
    | spl0_83
    | spl0_159
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f5085,f1157]) ).

fof(f1157,plain,
    ( ~ c2_1(a1691)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1155,plain,
    ( spl0_159
  <=> c2_1(a1691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f5085,plain,
    ( c2_1(a1691)
    | c3_1(a1691)
    | spl0_83
    | ~ spl0_335 ),
    inference(resolution,[],[f2037,f777]) ).

fof(f777,plain,
    ( ~ c1_1(a1691)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_83
  <=> c1_1(a1691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f4739,plain,
    ( spl0_96
    | ~ spl0_199
    | ~ spl0_244
    | ~ spl0_321 ),
    inference(avatar_contradiction_clause,[],[f4738]) ).

fof(f4738,plain,
    ( $false
    | spl0_96
    | ~ spl0_199
    | ~ spl0_244
    | ~ spl0_321 ),
    inference(subsumption_resolution,[],[f4737,f1357]) ).

fof(f1357,plain,
    ( c0_1(a1714)
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1355]) ).

fof(f1355,plain,
    ( spl0_199
  <=> c0_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f4737,plain,
    ( ~ c0_1(a1714)
    | spl0_96
    | ~ spl0_244
    | ~ spl0_321 ),
    inference(subsumption_resolution,[],[f4713,f842]) ).

fof(f842,plain,
    ( ~ c1_1(a1714)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_96
  <=> c1_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f4713,plain,
    ( c1_1(a1714)
    | ~ c0_1(a1714)
    | ~ spl0_244
    | ~ spl0_321 ),
    inference(resolution,[],[f1967,f1582]) ).

fof(f1582,plain,
    ( c2_1(a1714)
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f1580]) ).

fof(f1580,plain,
    ( spl0_244
  <=> c2_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f4314,plain,
    ( spl0_380
    | spl0_118
    | ~ spl0_228
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f4133,f1931,f1500,f950,f4311]) ).

fof(f950,plain,
    ( spl0_118
  <=> c0_1(a1704) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f4133,plain,
    ( c0_1(a1704)
    | c1_1(a1704)
    | ~ spl0_228
    | ~ spl0_314 ),
    inference(resolution,[],[f1932,f1502]) ).

fof(f4306,plain,
    ( spl0_84
    | ~ spl0_224
    | ~ spl0_249
    | ~ spl0_323 ),
    inference(avatar_contradiction_clause,[],[f4305]) ).

fof(f4305,plain,
    ( $false
    | spl0_84
    | ~ spl0_224
    | ~ spl0_249
    | ~ spl0_323 ),
    inference(subsumption_resolution,[],[f4304,f1607]) ).

fof(f1607,plain,
    ( c2_1(a1666)
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f1605]) ).

fof(f1605,plain,
    ( spl0_249
  <=> c2_1(a1666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f4304,plain,
    ( ~ c2_1(a1666)
    | spl0_84
    | ~ spl0_224
    | ~ spl0_323 ),
    inference(subsumption_resolution,[],[f4272,f782]) ).

fof(f782,plain,
    ( ~ c1_1(a1666)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_84
  <=> c1_1(a1666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f4272,plain,
    ( c1_1(a1666)
    | ~ c2_1(a1666)
    | ~ spl0_224
    | ~ spl0_323 ),
    inference(resolution,[],[f1974,f1482]) ).

fof(f1482,plain,
    ( c3_1(a1666)
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f1480]) ).

fof(f1480,plain,
    ( spl0_224
  <=> c3_1(a1666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f4294,plain,
    ( ~ spl0_293
    | ~ spl0_298
    | ~ spl0_323
    | spl0_337 ),
    inference(avatar_contradiction_clause,[],[f4293]) ).

fof(f4293,plain,
    ( $false
    | ~ spl0_293
    | ~ spl0_298
    | ~ spl0_323
    | spl0_337 ),
    inference(subsumption_resolution,[],[f4292,f1852]) ).

fof(f1852,plain,
    ( c2_1(a1654)
    | ~ spl0_298 ),
    inference(avatar_component_clause,[],[f1850]) ).

fof(f4292,plain,
    ( ~ c2_1(a1654)
    | ~ spl0_293
    | ~ spl0_323
    | spl0_337 ),
    inference(subsumption_resolution,[],[f4261,f2243]) ).

fof(f2243,plain,
    ( ~ c1_1(a1654)
    | spl0_337 ),
    inference(avatar_component_clause,[],[f2242]) ).

fof(f4261,plain,
    ( c1_1(a1654)
    | ~ c2_1(a1654)
    | ~ spl0_293
    | ~ spl0_323 ),
    inference(resolution,[],[f1974,f1827]) ).

fof(f4242,plain,
    ( ~ spl0_287
    | ~ spl0_293
    | ~ spl0_320
    | ~ spl0_337 ),
    inference(avatar_contradiction_clause,[],[f4241]) ).

fof(f4241,plain,
    ( $false
    | ~ spl0_287
    | ~ spl0_293
    | ~ spl0_320
    | ~ spl0_337 ),
    inference(subsumption_resolution,[],[f4240,f1797]) ).

fof(f1797,plain,
    ( c0_1(a1654)
    | ~ spl0_287 ),
    inference(avatar_component_clause,[],[f1795]) ).

fof(f1795,plain,
    ( spl0_287
  <=> c0_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f4240,plain,
    ( ~ c0_1(a1654)
    | ~ spl0_293
    | ~ spl0_320
    | ~ spl0_337 ),
    inference(subsumption_resolution,[],[f4214,f1827]) ).

fof(f4214,plain,
    ( ~ c3_1(a1654)
    | ~ c0_1(a1654)
    | ~ spl0_320
    | ~ spl0_337 ),
    inference(resolution,[],[f1963,f2244]) ).

fof(f4060,plain,
    ( ~ spl0_287
    | ~ spl0_293
    | ~ spl0_298
    | ~ spl0_309 ),
    inference(avatar_contradiction_clause,[],[f4059]) ).

fof(f4059,plain,
    ( $false
    | ~ spl0_287
    | ~ spl0_293
    | ~ spl0_298
    | ~ spl0_309 ),
    inference(subsumption_resolution,[],[f4058,f1827]) ).

fof(f4058,plain,
    ( ~ c3_1(a1654)
    | ~ spl0_287
    | ~ spl0_298
    | ~ spl0_309 ),
    inference(subsumption_resolution,[],[f4013,f1797]) ).

fof(f4013,plain,
    ( ~ c0_1(a1654)
    | ~ c3_1(a1654)
    | ~ spl0_298
    | ~ spl0_309 ),
    inference(resolution,[],[f1912,f1852]) ).

fof(f4054,plain,
    ( ~ spl0_285
    | ~ spl0_294
    | ~ spl0_309
    | ~ spl0_339 ),
    inference(avatar_contradiction_clause,[],[f4053]) ).

fof(f4053,plain,
    ( $false
    | ~ spl0_285
    | ~ spl0_294
    | ~ spl0_309
    | ~ spl0_339 ),
    inference(subsumption_resolution,[],[f4052,f1832]) ).

fof(f1832,plain,
    ( c3_1(a1665)
    | ~ spl0_294 ),
    inference(avatar_component_clause,[],[f1830]) ).

fof(f1830,plain,
    ( spl0_294
  <=> c3_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f4052,plain,
    ( ~ c3_1(a1665)
    | ~ spl0_285
    | ~ spl0_309
    | ~ spl0_339 ),
    inference(subsumption_resolution,[],[f4010,f1787]) ).

fof(f4010,plain,
    ( ~ c0_1(a1665)
    | ~ c3_1(a1665)
    | ~ spl0_309
    | ~ spl0_339 ),
    inference(resolution,[],[f1912,f2292]) ).

fof(f2292,plain,
    ( c2_1(a1665)
    | ~ spl0_339 ),
    inference(avatar_component_clause,[],[f2290]) ).

fof(f4048,plain,
    ( ~ spl0_193
    | ~ spl0_213
    | ~ spl0_309
    | ~ spl0_353 ),
    inference(avatar_contradiction_clause,[],[f4047]) ).

fof(f4047,plain,
    ( $false
    | ~ spl0_193
    | ~ spl0_213
    | ~ spl0_309
    | ~ spl0_353 ),
    inference(subsumption_resolution,[],[f4046,f1427]) ).

fof(f1427,plain,
    ( c3_1(a1709)
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1425]) ).

fof(f1425,plain,
    ( spl0_213
  <=> c3_1(a1709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f4046,plain,
    ( ~ c3_1(a1709)
    | ~ spl0_193
    | ~ spl0_309
    | ~ spl0_353 ),
    inference(subsumption_resolution,[],[f4006,f1327]) ).

fof(f4006,plain,
    ( ~ c0_1(a1709)
    | ~ c3_1(a1709)
    | ~ spl0_309
    | ~ spl0_353 ),
    inference(resolution,[],[f1912,f2696]) ).

fof(f2696,plain,
    ( c2_1(a1709)
    | ~ spl0_353 ),
    inference(avatar_component_clause,[],[f2694]) ).

fof(f3996,plain,
    ( spl0_103
    | spl0_171
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_328 ),
    inference(avatar_contradiction_clause,[],[f3995]) ).

fof(f3995,plain,
    ( $false
    | spl0_103
    | spl0_171
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f3988,f877]) ).

fof(f3988,plain,
    ( c0_1(a1677)
    | spl0_171
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_328 ),
    inference(resolution,[],[f3892,f1217]) ).

fof(f3892,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f1994,f3298]) ).

fof(f3298,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f1970,f1959]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_319 ),
    inference(avatar_component_clause,[],[f1958]) ).

fof(f1958,plain,
    ( spl0_319
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f3914,plain,
    ( spl0_133
    | spl0_156
    | ~ spl0_315
    | ~ spl0_330 ),
    inference(avatar_contradiction_clause,[],[f3913]) ).

fof(f3913,plain,
    ( $false
    | spl0_133
    | spl0_156
    | ~ spl0_315
    | ~ spl0_330 ),
    inference(subsumption_resolution,[],[f3900,f1027]) ).

fof(f1027,plain,
    ( ~ c3_1(a1649)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1025,plain,
    ( spl0_133
  <=> c3_1(a1649) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f3900,plain,
    ( c3_1(a1649)
    | spl0_156
    | ~ spl0_315
    | ~ spl0_330 ),
    inference(resolution,[],[f3751,f1142]) ).

fof(f1142,plain,
    ( ~ c2_1(a1649)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1140,plain,
    ( spl0_156
  <=> c2_1(a1649) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3751,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_315
    | ~ spl0_330 ),
    inference(subsumption_resolution,[],[f2004,f1936]) ).

fof(f1936,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_315 ),
    inference(avatar_component_clause,[],[f1935]) ).

fof(f1935,plain,
    ( spl0_315
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f2004,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_330 ),
    inference(avatar_component_clause,[],[f2003]) ).

fof(f2003,plain,
    ( spl0_330
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f3889,plain,
    ( spl0_133
    | spl0_156
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_335 ),
    inference(avatar_contradiction_clause,[],[f3888]) ).

fof(f3888,plain,
    ( $false
    | spl0_133
    | spl0_156
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f3886,f1027]) ).

fof(f3886,plain,
    ( c3_1(a1649)
    | spl0_156
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_335 ),
    inference(resolution,[],[f1142,f3750]) ).

fof(f3750,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f2037,f3298]) ).

fof(f3870,plain,
    ( spl0_144
    | spl0_155
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f3815,f2036,f1969,f1958,f1135,f1080]) ).

fof(f3815,plain,
    ( c3_1(a1650)
    | spl0_155
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_335 ),
    inference(resolution,[],[f3750,f1137]) ).

fof(f1137,plain,
    ( ~ c2_1(a1650)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f3745,plain,
    ( spl0_153
    | ~ spl0_174
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(avatar_contradiction_clause,[],[f3744]) ).

fof(f3744,plain,
    ( $false
    | spl0_153
    | ~ spl0_174
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f3742,f1127]) ).

fof(f1127,plain,
    ( ~ c2_1(a1661)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1125]) ).

fof(f1125,plain,
    ( spl0_153
  <=> c2_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3742,plain,
    ( c2_1(a1661)
    | ~ spl0_174
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(resolution,[],[f1232,f3298]) ).

fof(f1232,plain,
    ( c1_1(a1661)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1230]) ).

fof(f1230,plain,
    ( spl0_174
  <=> c1_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f3736,plain,
    ( ~ spl0_373
    | spl0_129
    | spl0_78
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f3089,f1947,f750,f1005,f3733]) ).

fof(f1947,plain,
    ( spl0_317
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f3089,plain,
    ( c3_1(a1660)
    | ~ c2_1(a1660)
    | spl0_78
    | ~ spl0_317 ),
    inference(resolution,[],[f1948,f752]) ).

fof(f1948,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_317 ),
    inference(avatar_component_clause,[],[f1947]) ).

fof(f3544,plain,
    ( spl0_105
    | spl0_164
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f3530,f1993,f1969,f1958,f1180,f885]) ).

fof(f3530,plain,
    ( c0_1(a1678)
    | spl0_164
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_328 ),
    inference(resolution,[],[f3512,f1182]) ).

fof(f3512,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_319
    | ~ spl0_322
    | ~ spl0_328 ),
    inference(subsumption_resolution,[],[f1994,f3298]) ).

fof(f3454,plain,
    ( spl0_337
    | ~ spl0_287
    | ~ spl0_293
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f3453,f1915,f1825,f1795,f2242]) ).

fof(f1915,plain,
    ( spl0_310
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f3453,plain,
    ( c1_1(a1654)
    | ~ spl0_287
    | ~ spl0_293
    | ~ spl0_310 ),
    inference(subsumption_resolution,[],[f3452,f1827]) ).

fof(f3452,plain,
    ( c1_1(a1654)
    | ~ c3_1(a1654)
    | ~ spl0_287
    | ~ spl0_310 ),
    inference(resolution,[],[f1797,f1916]) ).

fof(f1916,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_310 ),
    inference(avatar_component_clause,[],[f1915]) ).

fof(f3399,plain,
    ( spl0_99
    | ~ spl0_187
    | ~ spl0_229
    | ~ spl0_318 ),
    inference(avatar_contradiction_clause,[],[f3398]) ).

fof(f3398,plain,
    ( $false
    | spl0_99
    | ~ spl0_187
    | ~ spl0_229
    | ~ spl0_318 ),
    inference(subsumption_resolution,[],[f3397,f1297]) ).

fof(f1297,plain,
    ( c1_1(a1672)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1295]) ).

fof(f1295,plain,
    ( spl0_187
  <=> c1_1(a1672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f3397,plain,
    ( ~ c1_1(a1672)
    | spl0_99
    | ~ spl0_229
    | ~ spl0_318 ),
    inference(subsumption_resolution,[],[f3384,f857]) ).

fof(f857,plain,
    ( ~ c0_1(a1672)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f855,plain,
    ( spl0_99
  <=> c0_1(a1672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3384,plain,
    ( c0_1(a1672)
    | ~ c1_1(a1672)
    | ~ spl0_229
    | ~ spl0_318 ),
    inference(resolution,[],[f1953,f1507]) ).

fof(f1507,plain,
    ( c3_1(a1672)
    | ~ spl0_229 ),
    inference(avatar_component_clause,[],[f1505]) ).

fof(f1505,plain,
    ( spl0_229
  <=> c3_1(a1672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f1953,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_318 ),
    inference(avatar_component_clause,[],[f1952]) ).

fof(f1952,plain,
    ( spl0_318
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f3373,plain,
    ( spl0_84
    | ~ spl0_249
    | ~ spl0_317
    | ~ spl0_323 ),
    inference(avatar_contradiction_clause,[],[f3372]) ).

fof(f3372,plain,
    ( $false
    | spl0_84
    | ~ spl0_249
    | ~ spl0_317
    | ~ spl0_323 ),
    inference(subsumption_resolution,[],[f3354,f782]) ).

fof(f3354,plain,
    ( c1_1(a1666)
    | ~ spl0_249
    | ~ spl0_317
    | ~ spl0_323 ),
    inference(resolution,[],[f3331,f1607]) ).

fof(f3331,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_317
    | ~ spl0_323 ),
    inference(subsumption_resolution,[],[f1974,f1948]) ).

fof(f3370,plain,
    ( spl0_88
    | ~ spl0_245
    | ~ spl0_317
    | ~ spl0_323 ),
    inference(avatar_contradiction_clause,[],[f3369]) ).

fof(f3369,plain,
    ( $false
    | spl0_88
    | ~ spl0_245
    | ~ spl0_317
    | ~ spl0_323 ),
    inference(subsumption_resolution,[],[f3352,f802]) ).

fof(f802,plain,
    ( ~ c1_1(a1671)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl0_88
  <=> c1_1(a1671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f3352,plain,
    ( c1_1(a1671)
    | ~ spl0_245
    | ~ spl0_317
    | ~ spl0_323 ),
    inference(resolution,[],[f3331,f1587]) ).

fof(f1587,plain,
    ( c2_1(a1671)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f1585,plain,
    ( spl0_245
  <=> c2_1(a1671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f3297,plain,
    ( ~ spl0_187
    | ~ spl0_229
    | ~ spl0_316
    | ~ spl0_322 ),
    inference(avatar_contradiction_clause,[],[f3296]) ).

fof(f3296,plain,
    ( $false
    | ~ spl0_187
    | ~ spl0_229
    | ~ spl0_316
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f3286,f1297]) ).

fof(f3286,plain,
    ( ~ c1_1(a1672)
    | ~ spl0_229
    | ~ spl0_316
    | ~ spl0_322 ),
    inference(resolution,[],[f3276,f1507]) ).

fof(f3276,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_316
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f1970,f1940]) ).

fof(f3181,plain,
    ( spl0_276
    | ~ spl0_301
    | ~ spl0_317
    | spl0_342 ),
    inference(avatar_contradiction_clause,[],[f3180]) ).

fof(f3180,plain,
    ( $false
    | spl0_276
    | ~ spl0_301
    | ~ spl0_317
    | spl0_342 ),
    inference(subsumption_resolution,[],[f3179,f1867]) ).

fof(f3179,plain,
    ( ~ c2_1(a1656)
    | spl0_276
    | ~ spl0_317
    | spl0_342 ),
    inference(subsumption_resolution,[],[f3178,f1742]) ).

fof(f3178,plain,
    ( c3_1(a1656)
    | ~ c2_1(a1656)
    | ~ spl0_317
    | spl0_342 ),
    inference(resolution,[],[f2369,f1948]) ).

fof(f2369,plain,
    ( ~ c1_1(a1656)
    | spl0_342 ),
    inference(avatar_component_clause,[],[f2368]) ).

fof(f3105,plain,
    ( spl0_146
    | spl0_88
    | ~ spl0_245
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f3104,f1947,f1585,f800,f1090]) ).

fof(f1090,plain,
    ( spl0_146
  <=> c3_1(a1671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3104,plain,
    ( c3_1(a1671)
    | spl0_88
    | ~ spl0_245
    | ~ spl0_317 ),
    inference(subsumption_resolution,[],[f3078,f1587]) ).

fof(f3078,plain,
    ( c3_1(a1671)
    | ~ c2_1(a1671)
    | spl0_88
    | ~ spl0_317 ),
    inference(resolution,[],[f1948,f802]) ).

fof(f3020,plain,
    ( ~ spl0_192
    | ~ spl0_222
    | ~ spl0_310
    | ~ spl0_320 ),
    inference(avatar_contradiction_clause,[],[f3019]) ).

fof(f3019,plain,
    ( $false
    | ~ spl0_192
    | ~ spl0_222
    | ~ spl0_310
    | ~ spl0_320 ),
    inference(subsumption_resolution,[],[f3015,f1322]) ).

fof(f3015,plain,
    ( ~ c0_1(a1655)
    | ~ spl0_222
    | ~ spl0_310
    | ~ spl0_320 ),
    inference(resolution,[],[f3010,f1472]) ).

fof(f3010,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_310
    | ~ spl0_320 ),
    inference(subsumption_resolution,[],[f1963,f1916]) ).

fof(f3018,plain,
    ( ~ spl0_287
    | ~ spl0_293
    | ~ spl0_310
    | ~ spl0_320 ),
    inference(avatar_contradiction_clause,[],[f3017]) ).

fof(f3017,plain,
    ( $false
    | ~ spl0_287
    | ~ spl0_293
    | ~ spl0_310
    | ~ spl0_320 ),
    inference(subsumption_resolution,[],[f3012,f1797]) ).

fof(f3012,plain,
    ( ~ c0_1(a1654)
    | ~ spl0_293
    | ~ spl0_310
    | ~ spl0_320 ),
    inference(resolution,[],[f3010,f1827]) ).

fof(f2937,plain,
    ( spl0_277
    | spl0_272
    | spl0_281
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f2934,f1935,f1765,f1720,f1745]) ).

fof(f1745,plain,
    ( spl0_277
  <=> c3_1(a1663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f1720,plain,
    ( spl0_272
  <=> c0_1(a1663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f1765,plain,
    ( spl0_281
  <=> c2_1(a1663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f2934,plain,
    ( c3_1(a1663)
    | spl0_272
    | spl0_281
    | ~ spl0_315 ),
    inference(subsumption_resolution,[],[f2932,f1722]) ).

fof(f1722,plain,
    ( ~ c0_1(a1663)
    | spl0_272 ),
    inference(avatar_component_clause,[],[f1720]) ).

fof(f2932,plain,
    ( c0_1(a1663)
    | c3_1(a1663)
    | spl0_281
    | ~ spl0_315 ),
    inference(resolution,[],[f1767,f1936]) ).

fof(f1767,plain,
    ( ~ c2_1(a1663)
    | spl0_281 ),
    inference(avatar_component_clause,[],[f1765]) ).

fof(f2918,plain,
    ( spl0_356
    | spl0_157
    | ~ spl0_195
    | ~ spl0_313 ),
    inference(avatar_split_clause,[],[f2085,f1927,f1335,f1145,f2915]) ).

fof(f1335,plain,
    ( spl0_195
  <=> c0_1(a1724) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f2085,plain,
    ( c2_1(a1724)
    | c1_1(a1724)
    | ~ spl0_195
    | ~ spl0_313 ),
    inference(resolution,[],[f1928,f1337]) ).

fof(f1337,plain,
    ( c0_1(a1724)
    | ~ spl0_195 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f2857,plain,
    ( spl0_84
    | ~ spl0_224
    | ~ spl0_310
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f2840,f1931,f1915,f1480,f780]) ).

fof(f2840,plain,
    ( c1_1(a1666)
    | ~ spl0_224
    | ~ spl0_310
    | ~ spl0_314 ),
    inference(resolution,[],[f2820,f1482]) ).

fof(f2820,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_310
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f1932,f1916]) ).

fof(f2785,plain,
    ( ~ spl0_297
    | spl0_278
    | ~ spl0_284
    | ~ spl0_312 ),
    inference(avatar_split_clause,[],[f2447,f1923,f1780,f1750,f1845]) ).

fof(f1845,plain,
    ( spl0_297
  <=> c2_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f1750,plain,
    ( spl0_278
  <=> c3_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f1780,plain,
    ( spl0_284
  <=> c0_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f1923,plain,
    ( spl0_312
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f2447,plain,
    ( c3_1(a1695)
    | ~ c2_1(a1695)
    | ~ spl0_284
    | ~ spl0_312 ),
    inference(resolution,[],[f1924,f1782]) ).

fof(f1782,plain,
    ( c0_1(a1695)
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f1780]) ).

fof(f1924,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_312 ),
    inference(avatar_component_clause,[],[f1923]) ).

fof(f2657,plain,
    ( spl0_173
    | ~ spl0_188
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f2605,f1969,f1958,f1300,f1225]) ).

fof(f1225,plain,
    ( spl0_173
  <=> c2_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1300,plain,
    ( spl0_188
  <=> c1_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f2605,plain,
    ( c2_1(a1715)
    | ~ spl0_188
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(resolution,[],[f2562,f1302]) ).

fof(f1302,plain,
    ( c1_1(a1715)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f2562,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f1959,f1970]) ).

fof(f2641,plain,
    ( spl0_161
    | ~ spl0_192
    | ~ spl0_313
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(avatar_contradiction_clause,[],[f2640]) ).

fof(f2640,plain,
    ( $false
    | spl0_161
    | ~ spl0_192
    | ~ spl0_313
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f2623,f1167]) ).

fof(f2623,plain,
    ( c2_1(a1655)
    | spl0_161
    | ~ spl0_192
    | ~ spl0_313
    | ~ spl0_319
    | ~ spl0_322 ),
    inference(resolution,[],[f2562,f2108]) ).

fof(f2108,plain,
    ( c1_1(a1655)
    | spl0_161
    | ~ spl0_192
    | ~ spl0_313 ),
    inference(subsumption_resolution,[],[f2098,f1167]) ).

fof(f2098,plain,
    ( c2_1(a1655)
    | c1_1(a1655)
    | ~ spl0_192
    | ~ spl0_313 ),
    inference(resolution,[],[f1928,f1322]) ).

fof(f2547,plain,
    ( spl0_169
    | ~ spl0_182
    | ~ spl0_225
    | ~ spl0_322 ),
    inference(avatar_contradiction_clause,[],[f2546]) ).

fof(f2546,plain,
    ( $false
    | spl0_169
    | ~ spl0_182
    | ~ spl0_225
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f2545,f1272]) ).

fof(f1272,plain,
    ( c1_1(a1725)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f1270,plain,
    ( spl0_182
  <=> c1_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2545,plain,
    ( ~ c1_1(a1725)
    | spl0_169
    | ~ spl0_225
    | ~ spl0_322 ),
    inference(subsumption_resolution,[],[f2527,f1207]) ).

fof(f1207,plain,
    ( ~ c2_1(a1725)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1205,plain,
    ( spl0_169
  <=> c2_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2527,plain,
    ( c2_1(a1725)
    | ~ c1_1(a1725)
    | ~ spl0_225
    | ~ spl0_322 ),
    inference(resolution,[],[f1970,f1487]) ).

fof(f1487,plain,
    ( c3_1(a1725)
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f1485]) ).

fof(f1485,plain,
    ( spl0_225
  <=> c3_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f2470,plain,
    ( spl0_276
    | ~ spl0_286
    | ~ spl0_301
    | ~ spl0_312 ),
    inference(avatar_split_clause,[],[f2469,f1923,f1865,f1790,f1740]) ).

fof(f1790,plain,
    ( spl0_286
  <=> c0_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f2469,plain,
    ( c3_1(a1656)
    | ~ spl0_286
    | ~ spl0_301
    | ~ spl0_312 ),
    inference(subsumption_resolution,[],[f2444,f1867]) ).

fof(f2444,plain,
    ( c3_1(a1656)
    | ~ c2_1(a1656)
    | ~ spl0_286
    | ~ spl0_312 ),
    inference(resolution,[],[f1924,f1792]) ).

fof(f1792,plain,
    ( c0_1(a1656)
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f1790]) ).

fof(f2467,plain,
    ( ~ spl0_239
    | spl0_128
    | ~ spl0_189
    | ~ spl0_312 ),
    inference(avatar_split_clause,[],[f2454,f1923,f1305,f1000,f1555]) ).

fof(f1555,plain,
    ( spl0_239
  <=> c2_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f1000,plain,
    ( spl0_128
  <=> c3_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1305,plain,
    ( spl0_189
  <=> c0_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f2454,plain,
    ( ~ c2_1(a1716)
    | spl0_128
    | ~ spl0_189
    | ~ spl0_312 ),
    inference(subsumption_resolution,[],[f2439,f1002]) ).

fof(f1002,plain,
    ( ~ c3_1(a1716)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f2439,plain,
    ( c3_1(a1716)
    | ~ c2_1(a1716)
    | ~ spl0_189
    | ~ spl0_312 ),
    inference(resolution,[],[f1924,f1307]) ).

fof(f1307,plain,
    ( c0_1(a1716)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1305]) ).

fof(f2392,plain,
    ( spl0_274
    | ~ spl0_295
    | ~ spl0_314
    | ~ spl0_318 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_274
    | ~ spl0_295
    | ~ spl0_314
    | ~ spl0_318 ),
    inference(subsumption_resolution,[],[f2377,f1732]) ).

fof(f1732,plain,
    ( ~ c0_1(a1676)
    | spl0_274 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f1730,plain,
    ( spl0_274
  <=> c0_1(a1676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f2377,plain,
    ( c0_1(a1676)
    | ~ spl0_295
    | ~ spl0_314
    | ~ spl0_318 ),
    inference(resolution,[],[f2356,f1837]) ).

fof(f2356,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_314
    | ~ spl0_318 ),
    inference(subsumption_resolution,[],[f1953,f1932]) ).

fof(f2239,plain,
    ( ~ spl0_222
    | spl0_161
    | ~ spl0_192
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f2233,f1919,f1320,f1165,f1470]) ).

fof(f1919,plain,
    ( spl0_311
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f2233,plain,
    ( ~ c3_1(a1655)
    | spl0_161
    | ~ spl0_192
    | ~ spl0_311 ),
    inference(subsumption_resolution,[],[f2217,f1322]) ).

fof(f2217,plain,
    ( ~ c0_1(a1655)
    | ~ c3_1(a1655)
    | spl0_161
    | ~ spl0_311 ),
    inference(resolution,[],[f1920,f1167]) ).

fof(f1920,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_311 ),
    inference(avatar_component_clause,[],[f1919]) ).

fof(f2168,plain,
    ( spl0_266
    | spl0_275
    | ~ spl0_292
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f2155,f1931,f1820,f1735,f1690]) ).

fof(f1690,plain,
    ( spl0_266
  <=> c1_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f1735,plain,
    ( spl0_275
  <=> c0_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f1820,plain,
    ( spl0_292
  <=> c3_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f2155,plain,
    ( c1_1(a1644)
    | spl0_275
    | ~ spl0_292
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f2142,f1737]) ).

fof(f1737,plain,
    ( ~ c0_1(a1644)
    | spl0_275 ),
    inference(avatar_component_clause,[],[f1735]) ).

fof(f2142,plain,
    ( c0_1(a1644)
    | c1_1(a1644)
    | ~ spl0_292
    | ~ spl0_314 ),
    inference(resolution,[],[f1932,f1822]) ).

fof(f1822,plain,
    ( c3_1(a1644)
    | ~ spl0_292 ),
    inference(avatar_component_clause,[],[f1820]) ).

fof(f2160,plain,
    ( spl0_93
    | spl0_100
    | ~ spl0_226
    | ~ spl0_314 ),
    inference(avatar_contradiction_clause,[],[f2159]) ).

fof(f2159,plain,
    ( $false
    | spl0_93
    | spl0_100
    | ~ spl0_226
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f2158,f827]) ).

fof(f827,plain,
    ( ~ c1_1(a1721)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f825,plain,
    ( spl0_93
  <=> c1_1(a1721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2158,plain,
    ( c1_1(a1721)
    | spl0_100
    | ~ spl0_226
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f2144,f862]) ).

fof(f862,plain,
    ( ~ c0_1(a1721)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_100
  <=> c0_1(a1721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2144,plain,
    ( c0_1(a1721)
    | c1_1(a1721)
    | ~ spl0_226
    | ~ spl0_314 ),
    inference(resolution,[],[f1932,f1492]) ).

fof(f1492,plain,
    ( c3_1(a1721)
    | ~ spl0_226 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1490,plain,
    ( spl0_226
  <=> c3_1(a1721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f2080,plain,
    ( spl0_269
    | ~ spl0_289
    | ~ spl0_291
    | ~ spl0_310 ),
    inference(avatar_contradiction_clause,[],[f2079]) ).

fof(f2079,plain,
    ( $false
    | spl0_269
    | ~ spl0_289
    | ~ spl0_291
    | ~ spl0_310 ),
    inference(subsumption_resolution,[],[f2078,f1817]) ).

fof(f2078,plain,
    ( ~ c3_1(a1667)
    | spl0_269
    | ~ spl0_289
    | ~ spl0_310 ),
    inference(subsumption_resolution,[],[f2065,f1707]) ).

fof(f2065,plain,
    ( c1_1(a1667)
    | ~ c3_1(a1667)
    | ~ spl0_289
    | ~ spl0_310 ),
    inference(resolution,[],[f1916,f1807]) ).

fof(f2071,plain,
    ( spl0_80
    | ~ spl0_193
    | ~ spl0_213
    | ~ spl0_310 ),
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2070,plain,
    ( $false
    | spl0_80
    | ~ spl0_193
    | ~ spl0_213
    | ~ spl0_310 ),
    inference(subsumption_resolution,[],[f2069,f1427]) ).

fof(f2069,plain,
    ( ~ c3_1(a1709)
    | spl0_80
    | ~ spl0_193
    | ~ spl0_310 ),
    inference(subsumption_resolution,[],[f2055,f762]) ).

fof(f2055,plain,
    ( c1_1(a1709)
    | ~ c3_1(a1709)
    | ~ spl0_193
    | ~ spl0_310 ),
    inference(resolution,[],[f1916,f1327]) ).

fof(f2038,plain,
    ( spl0_328
    | spl0_335
    | spl0_312
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f359,f366,f1923,f2036,f1993]) ).

fof(f366,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f359,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause359) ).

fof(f2033,plain,
    ( spl0_315
    | spl0_309
    | spl0_321
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f361,f366,f1966,f1911,f1935]) ).

fof(f361,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c0_1(X2)
      | c3_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause361) ).

fof(f2027,plain,
    ( spl0_324
    | spl0_313
    | spl0_320
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f364,f366,f1962,f1927,f1977]) ).

fof(f364,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause364) ).

fof(f2023,plain,
    ( spl0_314
    | spl0_310
    | spl0_263
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f346,f366,f1675,f1915,f1931]) ).

fof(f1675,plain,
    ( spl0_263
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f346,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause346) ).

fof(f2018,plain,
    ( spl0_310
    | spl0_316
    | spl0_255
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f355,f366,f1635,f1939,f1915]) ).

fof(f1635,plain,
    ( spl0_255
  <=> hskp63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f355,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp63
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause355) ).

fof(f2013,plain,
    ( spl0_330
    | spl0_320
    | spl0_256
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f352,f366,f1640,f1962,f2003]) ).

fof(f1640,plain,
    ( spl0_256
  <=> hskp47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f352,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp47
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause352) ).

fof(f2011,plain,
    ( spl0_322
    | spl0_320
    | spl0_257
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f357,f366,f1645,f1962,f1969]) ).

fof(f1645,plain,
    ( spl0_257
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f357,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause357) ).

fof(f1998,plain,
    ( spl0_326
    | spl0_311
    | spl0_38
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f353,f366,f550,f1919,f1984]) ).

fof(f550,plain,
    ( spl0_38
  <=> hskp39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f353,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp39
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause353) ).

fof(f1997,plain,
    ( spl0_323
    | spl0_310
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f349,f366,f410,f1915,f1973]) ).

fof(f410,plain,
    ( spl0_10
  <=> hskp67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f349,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp67
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause349) ).

fof(f1996,plain,
    ( spl0_323
    | spl0_309
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f356,f366,f615,f1911,f1973]) ).

fof(f615,plain,
    ( spl0_51
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f356,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp26
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause356) ).

fof(f1991,plain,
    ( spl0_314
    | spl0_319
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f341,f366,f400,f1958,f1931]) ).

fof(f400,plain,
    ( spl0_8
  <=> hskp69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f341,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp69
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause341) ).

fof(f1982,plain,
    ( spl0_324
    | spl0_325
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f348,f366,f370,f1980,f1977]) ).

fof(f370,plain,
    ( spl0_2
  <=> hskp75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f348,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp75
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause348) ).

fof(f1975,plain,
    ( spl0_323
    | spl0_318
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f351,f366,f380,f1952,f1973]) ).

fof(f380,plain,
    ( spl0_4
  <=> hskp73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f351,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp73
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause351) ).

fof(f1964,plain,
    ( spl0_317
    | spl0_320
    | spl0_37
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f354,f366,f545,f1962,f1947]) ).

fof(f545,plain,
    ( spl0_37
  <=> hskp40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f354,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp40
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause354) ).

fof(f1955,plain,
    ( spl0_311
    | spl0_302
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f330,f366,f580,f1870,f1919]) ).

fof(f1870,plain,
    ( spl0_302
  <=> hskp61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f580,plain,
    ( spl0_44
  <=> hskp33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f330,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp33
      | hskp61
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause330) ).

fof(f1945,plain,
    ( spl0_312
    | spl0_264
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f322,f366,f535,f1680,f1923]) ).

fof(f1680,plain,
    ( spl0_264
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f535,plain,
    ( spl0_35
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f322,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp42
      | hskp0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause322) ).

fof(f1944,plain,
    ( spl0_312
    | spl0_254
    | spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f324,f366,f485,f1630,f1923]) ).

fof(f1630,plain,
    ( spl0_254
  <=> hskp52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f485,plain,
    ( spl0_25
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f324,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp52
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause324) ).

fof(f1943,plain,
    ( spl0_311
    | spl0_259
    | spl0_48
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f326,f366,f600,f1655,f1919]) ).

fof(f1655,plain,
    ( spl0_259
  <=> hskp57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f600,plain,
    ( spl0_48
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f326,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp57
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause326) ).

fof(f1941,plain,
    ( spl0_316
    | spl0_257
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f332,f366,f680,f1645,f1939]) ).

fof(f680,plain,
    ( spl0_64
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f332,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp13
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause332) ).

fof(f1937,plain,
    ( spl0_315
    | spl0_5
    | spl0_40
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f314,f366,f560,f385,f1935]) ).

fof(f385,plain,
    ( spl0_5
  <=> hskp72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f560,plain,
    ( spl0_40
  <=> hskp37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f314,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp37
      | hskp72
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause314) ).

fof(f1925,plain,
    ( spl0_312
    | spl0_47
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f325,f366,f470,f595,f1923]) ).

fof(f595,plain,
    ( spl0_47
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f470,plain,
    ( spl0_22
  <=> hskp55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f325,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp55
      | hskp9
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause325) ).

fof(f1921,plain,
    ( spl0_311
    | spl0_29
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f323,f366,f480,f505,f1919]) ).

fof(f505,plain,
    ( spl0_29
  <=> hskp48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f480,plain,
    ( spl0_24
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f323,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp48
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause323) ).

fof(f1917,plain,
    ( spl0_310
    | spl0_61
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f328,f366,f660,f665,f1915]) ).

fof(f665,plain,
    ( spl0_61
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f660,plain,
    ( spl0_60
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f328,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp16
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause328) ).

fof(f1904,plain,
    ( spl0_307
    | spl0_58
    | spl0_57
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f329,f366,f645,f650,f1902]) ).

fof(f650,plain,
    ( spl0_58
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f645,plain,
    ( spl0_57
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f329,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp19
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause329) ).

fof(f1896,plain,
    ( spl0_263
    | spl0_254
    | spl0_265 ),
    inference(avatar_split_clause,[],[f83,f1685,f1630,f1675]) ).

fof(f1685,plain,
    ( spl0_265
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f83,axiom,
    ( hskp53
    | hskp52
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f1892,plain,
    ( spl0_258
    | spl0_63
    | spl0_62 ),
    inference(avatar_split_clause,[],[f80,f670,f675,f1650]) ).

fof(f1650,plain,
    ( spl0_258
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f675,plain,
    ( spl0_63
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f670,plain,
    ( spl0_62
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f80,axiom,
    ( hskp15
    | hskp14
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f1888,plain,
    ( spl0_305
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f110,f1870,f1885]) ).

fof(f110,axiom,
    ( ~ hskp61
    | c3_1(a1674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f1883,plain,
    ( ~ spl0_304
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f204,f1870,f1880]) ).

fof(f204,axiom,
    ( ~ hskp61
    | ~ c2_1(a1674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f1878,plain,
    ( ~ spl0_303
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f203,f1870,f1875]) ).

fof(f203,axiom,
    ( ~ hskp61
    | ~ c1_1(a1674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f1868,plain,
    ( spl0_301
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f123,f1685,f1865]) ).

fof(f123,axiom,
    ( ~ hskp53
    | c2_1(a1656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f1858,plain,
    ( spl0_299
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f106,f1635,f1855]) ).

fof(f106,axiom,
    ( ~ hskp63
    | c2_1(a1676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f1853,plain,
    ( spl0_298
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f126,f1630,f1850]) ).

fof(f126,axiom,
    ( ~ hskp52
    | c2_1(a1654) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f1848,plain,
    ( spl0_297
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f161,f1675,f1845]) ).

fof(f161,axiom,
    ( ~ hskp29
    | c2_1(a1695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f1838,plain,
    ( spl0_295
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f107,f1635,f1835]) ).

fof(f107,axiom,
    ( ~ hskp63
    | c3_1(a1676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f1833,plain,
    ( spl0_294
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f117,f1655,f1830]) ).

fof(f117,axiom,
    ( ~ hskp57
    | c3_1(a1665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f1828,plain,
    ( spl0_293
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f127,f1630,f1825]) ).

fof(f127,axiom,
    ( ~ hskp52
    | c3_1(a1654) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f1823,plain,
    ( spl0_292
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f136,f1640,f1820]) ).

fof(f136,axiom,
    ( ~ hskp47
    | c3_1(a1644) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f1818,plain,
    ( spl0_291
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f174,f1645,f1815]) ).

fof(f174,axiom,
    ( ~ hskp13
    | c3_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f1808,plain,
    ( spl0_289
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f173,f1645,f1805]) ).

fof(f173,axiom,
    ( ~ hskp13
    | c0_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f1803,plain,
    ( spl0_288
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f185,f1680,f1800]) ).

fof(f185,axiom,
    ( ~ hskp0
    | c0_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f1798,plain,
    ( spl0_287
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f125,f1630,f1795]) ).

fof(f125,axiom,
    ( ~ hskp52
    | c0_1(a1654) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f1793,plain,
    ( spl0_286
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f124,f1685,f1790]) ).

fof(f124,axiom,
    ( ~ hskp53
    | c0_1(a1656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f1788,plain,
    ( spl0_285
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f116,f1655,f1785]) ).

fof(f116,axiom,
    ( ~ hskp57
    | c0_1(a1665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f1783,plain,
    ( spl0_284
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f162,f1675,f1780]) ).

fof(f162,axiom,
    ( ~ hskp29
    | c0_1(a1695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f1778,plain,
    ( spl0_283
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f184,f1680,f1775]) ).

fof(f184,axiom,
    ( ~ hskp0
    | c1_1(a1637) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f1768,plain,
    ( ~ spl0_281
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f289,f1650,f1765]) ).

fof(f289,axiom,
    ( ~ hskp10
    | ~ c2_1(a1663) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause289) ).

fof(f1753,plain,
    ( ~ spl0_278
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f248,f1675,f1750]) ).

fof(f248,axiom,
    ( ~ hskp29
    | ~ c3_1(a1695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause248) ).

fof(f1748,plain,
    ( ~ spl0_277
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f290,f1650,f1745]) ).

fof(f290,axiom,
    ( ~ hskp10
    | ~ c3_1(a1663) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause290) ).

fof(f1743,plain,
    ( ~ spl0_276
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f214,f1685,f1740]) ).

fof(f214,axiom,
    ( ~ hskp53
    | ~ c3_1(a1656) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause214) ).

fof(f1738,plain,
    ( ~ spl0_275
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f220,f1640,f1735]) ).

fof(f220,axiom,
    ( ~ hskp47
    | ~ c0_1(a1644) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause220) ).

fof(f1733,plain,
    ( ~ spl0_274
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f201,f1635,f1730]) ).

fof(f201,axiom,
    ( ~ hskp63
    | ~ c0_1(a1676) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f1723,plain,
    ( ~ spl0_272
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f291,f1650,f1720]) ).

fof(f291,axiom,
    ( ~ hskp10
    | ~ c0_1(a1663) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause291) ).

fof(f1708,plain,
    ( ~ spl0_269
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f284,f1645,f1705]) ).

fof(f284,axiom,
    ( ~ hskp13
    | ~ c1_1(a1667) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause284) ).

fof(f1703,plain,
    ( ~ spl0_268
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f209,f1655,f1700]) ).

fof(f209,axiom,
    ( ~ hskp57
    | ~ c1_1(a1665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause209) ).

fof(f1693,plain,
    ( ~ spl0_266
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f219,f1640,f1690]) ).

fof(f219,axiom,
    ( ~ hskp47
    | ~ c1_1(a1644) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause219) ).

fof(f1688,plain,
    ( spl0_1
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f23,f1685,f366]) ).

fof(f23,axiom,
    ( ~ hskp53
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f1678,plain,
    ( spl0_1
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f47,f1675,f366]) ).

fof(f47,axiom,
    ( ~ hskp29
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f1633,plain,
    ( spl0_1
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f24,f1630,f366]) ).

fof(f24,axiom,
    ( ~ hskp52
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f1608,plain,
    ( spl0_249
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f175,f680,f1605]) ).

fof(f175,axiom,
    ( ~ hskp12
    | c2_1(a1666) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f1588,plain,
    ( spl0_245
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f172,f675,f1585]) ).

fof(f172,axiom,
    ( ~ hskp14
    | c2_1(a1671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f1583,plain,
    ( spl0_244
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f152,f560,f1580]) ).

fof(f152,axiom,
    ( ~ hskp37
    | c2_1(a1714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f1558,plain,
    ( spl0_239
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f89,f380,f1555]) ).

fof(f89,axiom,
    ( ~ hskp73
    | c2_1(a1716) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f1553,plain,
    ( spl0_238
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f101,f410,f1550]) ).

fof(f101,axiom,
    ( ~ hskp67
    | c2_1(a1702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f1508,plain,
    ( spl0_229
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f170,f670,f1505]) ).

fof(f170,axiom,
    ( ~ hskp15
    | c3_1(a1672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f1503,plain,
    ( spl0_228
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f155,f580,f1500]) ).

fof(f155,axiom,
    ( ~ hskp33
    | c3_1(a1704) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f1493,plain,
    ( spl0_226
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f150,f550,f1490]) ).

fof(f150,axiom,
    ( ~ hskp39
    | c3_1(a1721) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f1488,plain,
    ( spl0_225
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f149,f545,f1485]) ).

fof(f149,axiom,
    ( ~ hskp40
    | c3_1(a1725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f1483,plain,
    ( spl0_224
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f176,f680,f1480]) ).

fof(f176,axiom,
    ( ~ hskp12
    | c3_1(a1666) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f1473,plain,
    ( spl0_222
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f178,f485,f1470]) ).

fof(f178,axiom,
    ( ~ hskp7
    | c3_1(a1655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f1438,plain,
    ( spl0_215
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f102,f410,f1435]) ).

fof(f102,axiom,
    ( ~ hskp67
    | c3_1(a1702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f1428,plain,
    ( spl0_213
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f97,f400,f1425]) ).

fof(f97,axiom,
    ( ~ hskp69
    | c3_1(a1709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f1413,plain,
    ( spl0_210
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f86,f370,f1410]) ).

fof(f86,axiom,
    ( ~ hskp75
    | c3_1(a1724) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f1368,plain,
    ( spl0_201
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f145,f535,f1365]) ).

fof(f145,axiom,
    ( ~ hskp42
    | c0_1(a1638) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f1358,plain,
    ( spl0_199
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f153,f560,f1355]) ).

fof(f153,axiom,
    ( ~ hskp37
    | c0_1(a1714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f1338,plain,
    ( spl0_195
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f85,f370,f1335]) ).

fof(f85,axiom,
    ( ~ hskp75
    | c0_1(a1724) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f1328,plain,
    ( spl0_193
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f96,f400,f1325]) ).

fof(f96,axiom,
    ( ~ hskp69
    | c0_1(a1709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f1323,plain,
    ( spl0_192
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f179,f485,f1320]) ).

fof(f179,axiom,
    ( ~ hskp7
    | c0_1(a1655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f1308,plain,
    ( spl0_189
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f90,f380,f1305]) ).

fof(f90,axiom,
    ( ~ hskp73
    | c0_1(a1716) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f1303,plain,
    ( spl0_188
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f91,f385,f1300]) ).

fof(f91,axiom,
    ( ~ hskp72
    | c1_1(a1715) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f1298,plain,
    ( spl0_187
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f171,f670,f1295]) ).

fof(f171,axiom,
    ( ~ hskp15
    | c1_1(a1672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f1283,plain,
    ( spl0_184
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f100,f410,f1280]) ).

fof(f100,axiom,
    ( ~ hskp67
    | c1_1(a1702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f1273,plain,
    ( spl0_182
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f148,f545,f1270]) ).

fof(f148,axiom,
    ( ~ hskp40
    | c1_1(a1725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f1263,plain,
    ( spl0_180
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f144,f535,f1260]) ).

fof(f144,axiom,
    ( ~ hskp42
    | c1_1(a1638) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f1233,plain,
    ( spl0_174
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f120,f470,f1230]) ).

fof(f120,axiom,
    ( ~ hskp55
    | c1_1(a1661) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f1228,plain,
    ( ~ spl0_173
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f189,f385,f1225]) ).

fof(f189,axiom,
    ( ~ hskp72
    | ~ c2_1(a1715) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f1218,plain,
    ( ~ spl0_171
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f279,f665,f1215]) ).

fof(f279,axiom,
    ( ~ hskp16
    | ~ c2_1(a1677) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause279) ).

fof(f1208,plain,
    ( ~ spl0_169
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f228,f545,f1205]) ).

fof(f228,axiom,
    ( ~ hskp40
    | ~ c2_1(a1725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause228) ).

fof(f1203,plain,
    ( ~ spl0_168
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f271,f650,f1200]) ).

fof(f271,axiom,
    ( ~ hskp19
    | ~ c2_1(a1681) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause271) ).

fof(f1188,plain,
    ( ~ spl0_165
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f287,f600,f1185]) ).

fof(f287,axiom,
    ( ~ hskp11
    | ~ c2_1(a1664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause287) ).

fof(f1183,plain,
    ( ~ spl0_164
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f277,f660,f1180]) ).

fof(f277,axiom,
    ( ~ hskp17
    | ~ c2_1(a1678) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause277) ).

fof(f1168,plain,
    ( ~ spl0_161
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f297,f485,f1165]) ).

fof(f297,axiom,
    ( ~ hskp7
    | ~ c2_1(a1655) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause297) ).

fof(f1158,plain,
    ( ~ spl0_159
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f256,f615,f1155]) ).

fof(f256,axiom,
    ( ~ hskp26
    | ~ c2_1(a1691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause256) ).

fof(f1148,plain,
    ( ~ spl0_157
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f186,f370,f1145]) ).

fof(f186,axiom,
    ( ~ hskp75
    | ~ c2_1(a1724) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f1143,plain,
    ( ~ spl0_156
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f218,f505,f1140]) ).

fof(f218,axiom,
    ( ~ hskp48
    | ~ c2_1(a1649) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause218) ).

fof(f1138,plain,
    ( ~ spl0_155
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f299,f480,f1135]) ).

fof(f299,axiom,
    ( ~ hskp6
    | ~ c2_1(a1650) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause299) ).

fof(f1128,plain,
    ( ~ spl0_153
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f211,f470,f1125]) ).

fof(f211,axiom,
    ( ~ hskp55
    | ~ c2_1(a1661) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause211) ).

fof(f1123,plain,
    ( ~ spl0_152
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f243,f580,f1120]) ).

fof(f243,axiom,
    ( ~ hskp33
    | ~ c2_1(a1704) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause243) ).

fof(f1113,plain,
    ( ~ spl0_150
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f266,f645,f1110]) ).

fof(f266,axiom,
    ( ~ hskp20
    | ~ c2_1(a1682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause266) ).

fof(f1093,plain,
    ( ~ spl0_146
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f283,f675,f1090]) ).

fof(f283,axiom,
    ( ~ hskp14
    | ~ c3_1(a1671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause283) ).

fof(f1083,plain,
    ( ~ spl0_144
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f300,f480,f1080]) ).

fof(f300,axiom,
    ( ~ hskp6
    | ~ c3_1(a1650) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause300) ).

fof(f1053,plain,
    ( ~ spl0_138
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f268,f645,f1050]) ).

fof(f268,axiom,
    ( ~ hskp20
    | ~ c3_1(a1682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause268) ).

fof(f1043,plain,
    ( ~ spl0_136
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f254,f615,f1040]) ).

fof(f254,axiom,
    ( ~ hskp26
    | ~ c3_1(a1691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause254) ).

fof(f1028,plain,
    ( ~ spl0_133
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f217,f505,f1025]) ).

fof(f217,axiom,
    ( ~ hskp48
    | ~ c3_1(a1649) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause217) ).

fof(f1008,plain,
    ( ~ spl0_129
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f292,f595,f1005]) ).

fof(f292,axiom,
    ( ~ hskp9
    | ~ c3_1(a1660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause292) ).

fof(f1003,plain,
    ( ~ spl0_128
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f188,f380,f1000]) ).

fof(f188,axiom,
    ( ~ hskp73
    | ~ c3_1(a1716) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f988,plain,
    ( ~ spl0_125
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f270,f650,f985]) ).

fof(f270,axiom,
    ( ~ hskp19
    | ~ c3_1(a1681) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause270) ).

fof(f978,plain,
    ( ~ spl0_123
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f286,f600,f975]) ).

fof(f286,axiom,
    ( ~ hskp11
    | ~ c3_1(a1664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause286) ).

fof(f953,plain,
    ( ~ spl0_118
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f242,f580,f950]) ).

fof(f242,axiom,
    ( ~ hskp33
    | ~ c0_1(a1704) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause242) ).

fof(f908,plain,
    ( ~ spl0_109
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f293,f595,f905]) ).

fof(f293,axiom,
    ( ~ hskp9
    | ~ c0_1(a1660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause293) ).

fof(f888,plain,
    ( ~ spl0_105
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f275,f660,f885]) ).

fof(f275,axiom,
    ( ~ hskp17
    | ~ c0_1(a1678) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause275) ).

fof(f878,plain,
    ( ~ spl0_103
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f278,f665,f875]) ).

fof(f278,axiom,
    ( ~ hskp16
    | ~ c0_1(a1677) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause278) ).

fof(f863,plain,
    ( ~ spl0_100
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f230,f550,f860]) ).

fof(f230,axiom,
    ( ~ hskp39
    | ~ c0_1(a1721) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause230) ).

fof(f858,plain,
    ( ~ spl0_99
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f281,f670,f855]) ).

fof(f281,axiom,
    ( ~ hskp15
    | ~ c0_1(a1672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause281) ).

fof(f853,plain,
    ( ~ spl0_98
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f276,f660,f850]) ).

fof(f276,axiom,
    ( ~ hskp17
    | ~ c1_1(a1678) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause276) ).

fof(f843,plain,
    ( ~ spl0_96
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f233,f560,f840]) ).

fof(f233,axiom,
    ( ~ hskp37
    | ~ c1_1(a1714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause233) ).

fof(f828,plain,
    ( ~ spl0_93
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f229,f550,f825]) ).

fof(f229,axiom,
    ( ~ hskp39
    | ~ c1_1(a1721) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause229) ).

fof(f823,plain,
    ( ~ spl0_92
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f280,f665,f820]) ).

fof(f280,axiom,
    ( ~ hskp16
    | ~ c1_1(a1677) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause280) ).

fof(f803,plain,
    ( ~ spl0_88
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f282,f675,f800]) ).

fof(f282,axiom,
    ( ~ hskp14
    | ~ c1_1(a1671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause282) ).

fof(f783,plain,
    ( ~ spl0_84
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f285,f680,f780]) ).

fof(f285,axiom,
    ( ~ hskp12
    | ~ c1_1(a1666) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause285) ).

fof(f778,plain,
    ( ~ spl0_83
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f255,f615,f775]) ).

fof(f255,axiom,
    ( ~ hskp26
    | ~ c1_1(a1691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause255) ).

fof(f768,plain,
    ( ~ spl0_81
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f288,f600,f765]) ).

fof(f288,axiom,
    ( ~ hskp11
    | ~ c1_1(a1664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause288) ).

fof(f763,plain,
    ( ~ spl0_80
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f193,f400,f760]) ).

fof(f193,axiom,
    ( ~ hskp69
    | ~ c1_1(a1709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f753,plain,
    ( ~ spl0_78
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f294,f595,f750]) ).

fof(f294,axiom,
    ( ~ hskp9
    | ~ c1_1(a1660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause294) ).

fof(f703,plain,
    ( ~ spl0_68
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f269,f650,f700]) ).

fof(f269,axiom,
    ( ~ hskp19
    | ~ c1_1(a1681) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause269) ).

fof(f693,plain,
    ( ~ spl0_66
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f267,f645,f690]) ).

fof(f267,axiom,
    ( ~ hskp20
    | ~ c1_1(a1682) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause267) ).

fof(f688,plain,
    ( ~ spl0_65
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f298,f480,f685]) ).

fof(f298,axiom,
    ( ~ hskp6
    | ~ c1_1(a1650) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause298) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16  % Problem    : SYN457-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.18  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.39  % Computer : n016.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Tue Apr 30 02:27:25 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.15/0.39  % (1163)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41  % (1166)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.41  % (1165)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.41  % (1164)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.41  % (1167)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.41  % (1168)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.41  % (1169)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.41  % (1170)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.42  Detected minimum model sizes of [1]
% 0.21/0.42  Detected maximum model sizes of [76]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  Detected minimum model sizes of [1]
% 0.21/0.42  Detected maximum model sizes of [76]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  Detected minimum model sizes of [1]
% 0.21/0.42  Detected maximum model sizes of [76]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  Detected minimum model sizes of [1]
% 0.21/0.42  Detected maximum model sizes of [76]
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [3]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  TRYING [3]
% 0.21/0.43  TRYING [3]
% 0.21/0.43  TRYING [3]
% 0.21/0.43  TRYING [4]
% 0.21/0.43  TRYING [4]
% 0.21/0.43  TRYING [4]
% 0.21/0.44  TRYING [4]
% 0.21/0.45  TRYING [5]
% 0.21/0.46  TRYING [5]
% 0.21/0.46  TRYING [5]
% 0.21/0.46  TRYING [5]
% 0.21/0.51  % (1169)First to succeed.
% 0.21/0.52  % (1169)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (1169)------------------------------
% 0.21/0.52  % (1169)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.52  % (1169)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (1169)Memory used [KB]: 3381
% 0.21/0.52  % (1169)Time elapsed: 0.102 s
% 0.21/0.52  % (1169)Instructions burned: 180 (million)
% 0.21/0.52  % (1169)------------------------------
% 0.21/0.52  % (1169)------------------------------
% 0.21/0.52  % (1163)Success in time 0.125 s
%------------------------------------------------------------------------------