TSTP Solution File: SYN447-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN447-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:23 EDT 2024

% Result   : Unsatisfiable 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  273
% Syntax   : Number of formulae    :  760 (   1 unt;   0 def)
%            Number of atoms       : 2425 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3046 (1381   ~;1512   |;   0   &)
%                                         ( 153 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  192 ( 191 usr; 188 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  116 ( 116   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5433,plain,
    $false,
    inference(avatar_sat_refutation,[],[f500,f505,f555,f565,f655,f660,f670,f695,f720,f725,f730,f760,f770,f775,f820,f835,f840,f845,f850,f860,f865,f885,f905,f910,f920,f925,f940,f945,f950,f955,f960,f980,f985,f990,f995,f1015,f1020,f1030,f1035,f1060,f1075,f1095,f1105,f1125,f1150,f1155,f1170,f1200,f1210,f1215,f1230,f1235,f1315,f1320,f1330,f1335,f1340,f1350,f1360,f1365,f1375,f1380,f1385,f1400,f1405,f1410,f1420,f1425,f1430,f1435,f1445,f1450,f1455,f1460,f1465,f1480,f1485,f1490,f1495,f1500,f1505,f1510,f1515,f1530,f1550,f1560,f1575,f1585,f1595,f1600,f1602,f1603,f1604,f1605,f1609,f1613,f1625,f1646,f1650,f1666,f1670,f1671,f1675,f1680,f1692,f1696,f1700,f1705,f1711,f1726,f1727,f1729,f1734,f1738,f1739,f1740,f1745,f1746,f1747,f1748,f1800,f1832,f1854,f1863,f1882,f1884,f1914,f1929,f1938,f2018,f2030,f2134,f2206,f2304,f2430,f2589,f2673,f2736,f2810,f2811,f2942,f2946,f2997,f2999,f3001,f3003,f3062,f3065,f3140,f3159,f3162,f3297,f3301,f3349,f3353,f3439,f3442,f3475,f3510,f3619,f3625,f3661,f3665,f3672,f3674,f3678,f3685,f3686,f3792,f3884,f4089,f4217,f4225,f4227,f4229,f4242,f4278,f4369,f4599,f4625,f4661,f4675,f4801,f4839,f4906,f4912,f4915,f5076,f5167,f5178,f5327,f5334,f5344,f5378,f5422]) ).

fof(f5422,plain,
    ( ~ spl0_222
    | ~ spl0_234
    | ~ spl0_237
    | ~ spl0_267 ),
    inference(avatar_contradiction_clause,[],[f5421]) ).

fof(f5421,plain,
    ( $false
    | ~ spl0_222
    | ~ spl0_234
    | ~ spl0_237
    | ~ spl0_267 ),
    inference(subsumption_resolution,[],[f5420,f1424]) ).

fof(f1424,plain,
    ( c3_1(a1056)
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1422,plain,
    ( spl0_222
  <=> c3_1(a1056) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f5420,plain,
    ( ~ c3_1(a1056)
    | ~ spl0_234
    | ~ spl0_237
    | ~ spl0_267 ),
    inference(subsumption_resolution,[],[f5396,f1499]) ).

fof(f1499,plain,
    ( c2_1(a1056)
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f1497]) ).

fof(f1497,plain,
    ( spl0_237
  <=> c2_1(a1056) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f5396,plain,
    ( ~ c2_1(a1056)
    | ~ c3_1(a1056)
    | ~ spl0_234
    | ~ spl0_267 ),
    inference(resolution,[],[f1645,f1484]) ).

fof(f1484,plain,
    ( c1_1(a1056)
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1482,plain,
    ( spl0_234
  <=> c1_1(a1056) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f1645,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_267 ),
    inference(avatar_component_clause,[],[f1644]) ).

fof(f1644,plain,
    ( spl0_267
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f5378,plain,
    ( spl0_110
    | ~ spl0_162
    | ~ spl0_264
    | ~ spl0_268
    | ~ spl0_271 ),
    inference(avatar_contradiction_clause,[],[f5377]) ).

fof(f5377,plain,
    ( $false
    | spl0_110
    | ~ spl0_162
    | ~ spl0_264
    | ~ spl0_268
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f5363,f1124]) ).

fof(f1124,plain,
    ( c1_1(a1079)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1122,plain,
    ( spl0_162
  <=> c1_1(a1079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f5363,plain,
    ( ~ c1_1(a1079)
    | spl0_110
    | ~ spl0_264
    | ~ spl0_268
    | ~ spl0_271 ),
    inference(resolution,[],[f5245,f864]) ).

fof(f864,plain,
    ( ~ c2_1(a1079)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_110
  <=> c2_1(a1079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f5245,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_264
    | ~ spl0_268
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f1649,f5038]) ).

fof(f5038,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_264
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f1661,f1633]) ).

fof(f1633,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f1632,plain,
    ( spl0_264
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f1661,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f1660]) ).

fof(f1660,plain,
    ( spl0_271
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f1649,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_268 ),
    inference(avatar_component_clause,[],[f1648]) ).

fof(f1648,plain,
    ( spl0_268
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f5344,plain,
    ( ~ spl0_126
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280
    | ~ spl0_289 ),
    inference(avatar_contradiction_clause,[],[f5343]) ).

fof(f5343,plain,
    ( $false
    | ~ spl0_126
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280
    | ~ spl0_289 ),
    inference(subsumption_resolution,[],[f5316,f944]) ).

fof(f944,plain,
    ( c3_1(a1077)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f942,plain,
    ( spl0_126
  <=> c3_1(a1077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f5316,plain,
    ( ~ c3_1(a1077)
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280
    | ~ spl0_289 ),
    inference(resolution,[],[f5102,f1918]) ).

fof(f1918,plain,
    ( c1_1(a1077)
    | ~ spl0_289 ),
    inference(avatar_component_clause,[],[f1917]) ).

fof(f1917,plain,
    ( spl0_289
  <=> c1_1(a1077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f5102,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1612,f3641]) ).

fof(f3641,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1699,f1665]) ).

fof(f1665,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_272 ),
    inference(avatar_component_clause,[],[f1664]) ).

fof(f1664,plain,
    ( spl0_272
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f1699,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f1698,plain,
    ( spl0_280
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f1612,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_259 ),
    inference(avatar_component_clause,[],[f1611]) ).

fof(f1611,plain,
    ( spl0_259
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f5334,plain,
    ( ~ spl0_221
    | ~ spl0_235
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f5333]) ).

fof(f5333,plain,
    ( $false
    | ~ spl0_221
    | ~ spl0_235
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f5307,f1419]) ).

fof(f1419,plain,
    ( c3_1(a1040)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1417]) ).

fof(f1417,plain,
    ( spl0_221
  <=> c3_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f5307,plain,
    ( ~ c3_1(a1040)
    | ~ spl0_235
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f5102,f1489]) ).

fof(f1489,plain,
    ( c1_1(a1040)
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f1487]) ).

fof(f1487,plain,
    ( spl0_235
  <=> c1_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f5327,plain,
    ( ~ spl0_222
    | ~ spl0_234
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f5326]) ).

fof(f5326,plain,
    ( $false
    | ~ spl0_222
    | ~ spl0_234
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f5300,f1424]) ).

fof(f5300,plain,
    ( ~ c3_1(a1056)
    | ~ spl0_234
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f5102,f1484]) ).

fof(f5178,plain,
    ( spl0_81
    | ~ spl0_177
    | ~ spl0_261
    | ~ spl0_287 ),
    inference(avatar_contradiction_clause,[],[f5177]) ).

fof(f5177,plain,
    ( $false
    | spl0_81
    | ~ spl0_177
    | ~ spl0_261
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f5149,f719]) ).

fof(f719,plain,
    ( ~ c1_1(a1059)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f717,plain,
    ( spl0_81
  <=> c1_1(a1059) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f5149,plain,
    ( c1_1(a1059)
    | ~ spl0_177
    | ~ spl0_261
    | ~ spl0_287 ),
    inference(resolution,[],[f5098,f1199]) ).

fof(f1199,plain,
    ( c2_1(a1059)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1197,plain,
    ( spl0_177
  <=> c2_1(a1059) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f5098,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_261
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f1737,f1620]) ).

fof(f1620,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f1619]) ).

fof(f1619,plain,
    ( spl0_261
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f1737,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_287 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f1736,plain,
    ( spl0_287
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f5167,plain,
    ( spl0_247
    | ~ spl0_256
    | ~ spl0_261
    | ~ spl0_287 ),
    inference(avatar_contradiction_clause,[],[f5166]) ).

fof(f5166,plain,
    ( $false
    | spl0_247
    | ~ spl0_256
    | ~ spl0_261
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f5141,f1549]) ).

fof(f1549,plain,
    ( ~ c1_1(a1031)
    | spl0_247 ),
    inference(avatar_component_clause,[],[f1547]) ).

fof(f1547,plain,
    ( spl0_247
  <=> c1_1(a1031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f5141,plain,
    ( c1_1(a1031)
    | ~ spl0_256
    | ~ spl0_261
    | ~ spl0_287 ),
    inference(resolution,[],[f5098,f1594]) ).

fof(f1594,plain,
    ( c2_1(a1031)
    | ~ spl0_256 ),
    inference(avatar_component_clause,[],[f1592]) ).

fof(f1592,plain,
    ( spl0_256
  <=> c2_1(a1031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f5076,plain,
    ( spl0_323
    | spl0_217
    | ~ spl0_264
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f5051,f1660,f1632,f1397,f4478]) ).

fof(f4478,plain,
    ( spl0_323
  <=> c3_1(a1046) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f1397,plain,
    ( spl0_217
  <=> c2_1(a1046) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f5051,plain,
    ( c3_1(a1046)
    | spl0_217
    | ~ spl0_264
    | ~ spl0_271 ),
    inference(resolution,[],[f5038,f1399]) ).

fof(f1399,plain,
    ( ~ c2_1(a1046)
    | spl0_217 ),
    inference(avatar_component_clause,[],[f1397]) ).

fof(f4915,plain,
    ( spl0_81
    | ~ spl0_177
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(avatar_contradiction_clause,[],[f4914]) ).

fof(f4914,plain,
    ( $false
    | spl0_81
    | ~ spl0_177
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f4887,f719]) ).

fof(f4887,plain,
    ( c1_1(a1059)
    | ~ spl0_177
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(resolution,[],[f4794,f1199]) ).

fof(f4794,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f1737,f3692]) ).

fof(f3692,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_269
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1653,f1665]) ).

fof(f1653,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f1652,plain,
    ( spl0_269
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f4912,plain,
    ( spl0_82
    | ~ spl0_183
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(avatar_contradiction_clause,[],[f4911]) ).

fof(f4911,plain,
    ( $false
    | spl0_82
    | ~ spl0_183
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f4885,f724]) ).

fof(f724,plain,
    ( ~ c1_1(a1083)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl0_82
  <=> c1_1(a1083) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f4885,plain,
    ( c1_1(a1083)
    | ~ spl0_183
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(resolution,[],[f4794,f1229]) ).

fof(f1229,plain,
    ( c2_1(a1083)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1227,plain,
    ( spl0_183
  <=> c2_1(a1083) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f4906,plain,
    ( spl0_247
    | ~ spl0_256
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(avatar_contradiction_clause,[],[f4905]) ).

fof(f4905,plain,
    ( $false
    | spl0_247
    | ~ spl0_256
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f4881,f1549]) ).

fof(f4881,plain,
    ( c1_1(a1031)
    | ~ spl0_256
    | ~ spl0_269
    | ~ spl0_272
    | ~ spl0_287 ),
    inference(resolution,[],[f4794,f1594]) ).

fof(f4839,plain,
    ( ~ spl0_323
    | ~ spl0_229
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f4837,f1698,f1664,f1457,f4478]) ).

fof(f1457,plain,
    ( spl0_229
  <=> c0_1(a1046) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f4837,plain,
    ( ~ c3_1(a1046)
    | ~ spl0_229
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f1459,f3641]) ).

fof(f1459,plain,
    ( c0_1(a1046)
    | ~ spl0_229 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f4801,plain,
    ( ~ spl0_309
    | ~ spl0_223
    | ~ spl0_269
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f4798,f1664,f1652,f1427,f2951]) ).

fof(f2951,plain,
    ( spl0_309
  <=> c2_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f1427,plain,
    ( spl0_223
  <=> c0_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f4798,plain,
    ( ~ c2_1(a1084)
    | ~ spl0_223
    | ~ spl0_269
    | ~ spl0_272 ),
    inference(resolution,[],[f1429,f3692]) ).

fof(f1429,plain,
    ( c0_1(a1084)
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f1427]) ).

fof(f4675,plain,
    ( spl0_279
    | ~ spl0_272
    | ~ spl0_274
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f4380,f1736,f1673,f1664,f1694]) ).

fof(f1694,plain,
    ( spl0_279
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f1673,plain,
    ( spl0_274
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f4380,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_272
    | ~ spl0_274
    | ~ spl0_287 ),
    inference(resolution,[],[f4374,f1665]) ).

fof(f4374,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_274
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f1737,f1674]) ).

fof(f1674,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_274 ),
    inference(avatar_component_clause,[],[f1673]) ).

fof(f4661,plain,
    ( ~ spl0_184
    | ~ spl0_121
    | ~ spl0_167
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f4660,f1644,f1147,f917,f1232]) ).

fof(f1232,plain,
    ( spl0_184
  <=> c2_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f917,plain,
    ( spl0_121
  <=> c3_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1147,plain,
    ( spl0_167
  <=> c1_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f4660,plain,
    ( ~ c2_1(a1103)
    | ~ spl0_121
    | ~ spl0_167
    | ~ spl0_267 ),
    inference(subsumption_resolution,[],[f3934,f919]) ).

fof(f919,plain,
    ( c3_1(a1103)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f3934,plain,
    ( ~ c2_1(a1103)
    | ~ c3_1(a1103)
    | ~ spl0_167
    | ~ spl0_267 ),
    inference(resolution,[],[f1645,f1149]) ).

fof(f1149,plain,
    ( c1_1(a1103)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f4625,plain,
    ( spl0_83
    | spl0_109
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(avatar_contradiction_clause,[],[f4624]) ).

fof(f4624,plain,
    ( $false
    | spl0_83
    | spl0_109
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(subsumption_resolution,[],[f4605,f729]) ).

fof(f729,plain,
    ( ~ c1_1(a1053)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_83
  <=> c1_1(a1053) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f4605,plain,
    ( c1_1(a1053)
    | spl0_109
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(resolution,[],[f4485,f859]) ).

fof(f859,plain,
    ( ~ c2_1(a1053)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f857,plain,
    ( spl0_109
  <=> c2_1(a1053) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f4485,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(subsumption_resolution,[],[f1704,f1633]) ).

fof(f1704,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_281 ),
    inference(avatar_component_clause,[],[f1703]) ).

fof(f1703,plain,
    ( spl0_281
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f4599,plain,
    ( ~ spl0_239
    | ~ spl0_221
    | ~ spl0_235
    | ~ spl0_267 ),
    inference(avatar_split_clause,[],[f4598,f1644,f1487,f1417,f1507]) ).

fof(f1507,plain,
    ( spl0_239
  <=> c2_1(a1040) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f4598,plain,
    ( ~ c2_1(a1040)
    | ~ spl0_221
    | ~ spl0_235
    | ~ spl0_267 ),
    inference(subsumption_resolution,[],[f4594,f1419]) ).

fof(f4594,plain,
    ( ~ c2_1(a1040)
    | ~ c3_1(a1040)
    | ~ spl0_235
    | ~ spl0_267 ),
    inference(resolution,[],[f1489,f1645]) ).

fof(f4369,plain,
    ( spl0_289
    | spl0_68
    | spl0_101
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f4357,f1673,f817,f652,f1917]) ).

fof(f652,plain,
    ( spl0_68
  <=> c0_1(a1077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f817,plain,
    ( spl0_101
  <=> c2_1(a1077) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f4357,plain,
    ( c1_1(a1077)
    | spl0_68
    | spl0_101
    | ~ spl0_274 ),
    inference(subsumption_resolution,[],[f4330,f819]) ).

fof(f819,plain,
    ( ~ c2_1(a1077)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f4330,plain,
    ( c2_1(a1077)
    | c1_1(a1077)
    | spl0_68
    | ~ spl0_274 ),
    inference(resolution,[],[f1674,f654]) ).

fof(f654,plain,
    ( ~ c0_1(a1077)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f4278,plain,
    ( spl0_48
    | spl0_92
    | ~ spl0_264
    | ~ spl0_284 ),
    inference(avatar_contradiction_clause,[],[f4277]) ).

fof(f4277,plain,
    ( $false
    | spl0_48
    | spl0_92
    | ~ spl0_264
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f4257,f774]) ).

fof(f774,plain,
    ( ~ c1_1(a1036)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f772,plain,
    ( spl0_92
  <=> c1_1(a1036) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f4257,plain,
    ( c1_1(a1036)
    | spl0_48
    | ~ spl0_264
    | ~ spl0_284 ),
    inference(resolution,[],[f4235,f554]) ).

fof(f554,plain,
    ( ~ c3_1(a1036)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl0_48
  <=> c3_1(a1036) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f4235,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_264
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f1720,f1633]) ).

fof(f1720,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f1719]) ).

fof(f1719,plain,
    ( spl0_284
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f4242,plain,
    ( spl0_200
    | spl0_209
    | ~ spl0_264
    | spl0_309 ),
    inference(avatar_contradiction_clause,[],[f4241]) ).

fof(f4241,plain,
    ( $false
    | spl0_200
    | spl0_209
    | ~ spl0_264
    | spl0_309 ),
    inference(subsumption_resolution,[],[f4240,f1359]) ).

fof(f1359,plain,
    ( ~ c1_1(a1084)
    | spl0_209 ),
    inference(avatar_component_clause,[],[f1357]) ).

fof(f1357,plain,
    ( spl0_209
  <=> c1_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f4240,plain,
    ( c1_1(a1084)
    | spl0_200
    | ~ spl0_264
    | spl0_309 ),
    inference(subsumption_resolution,[],[f4237,f1314]) ).

fof(f1314,plain,
    ( ~ c3_1(a1084)
    | spl0_200 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f1312,plain,
    ( spl0_200
  <=> c3_1(a1084) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f4237,plain,
    ( c3_1(a1084)
    | c1_1(a1084)
    | ~ spl0_264
    | spl0_309 ),
    inference(resolution,[],[f2952,f1633]) ).

fof(f2952,plain,
    ( ~ c2_1(a1084)
    | spl0_309 ),
    inference(avatar_component_clause,[],[f2951]) ).

fof(f4229,plain,
    ( ~ spl0_249
    | ~ spl0_256
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(avatar_contradiction_clause,[],[f4228]) ).

fof(f4228,plain,
    ( $false
    | ~ spl0_249
    | ~ spl0_256
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f4205,f1559]) ).

fof(f1559,plain,
    ( c3_1(a1031)
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f1557]) ).

fof(f1557,plain,
    ( spl0_249
  <=> c3_1(a1031) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f4205,plain,
    ( ~ c3_1(a1031)
    | ~ spl0_256
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(resolution,[],[f4188,f1594]) ).

fof(f4188,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f1733,f1665]) ).

fof(f1733,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f1732]) ).

fof(f1732,plain,
    ( spl0_286
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f4227,plain,
    ( ~ spl0_221
    | ~ spl0_239
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(avatar_contradiction_clause,[],[f4226]) ).

fof(f4226,plain,
    ( $false
    | ~ spl0_221
    | ~ spl0_239
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f4204,f1419]) ).

fof(f4204,plain,
    ( ~ c3_1(a1040)
    | ~ spl0_239
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(resolution,[],[f4188,f1509]) ).

fof(f1509,plain,
    ( c2_1(a1040)
    | ~ spl0_239 ),
    inference(avatar_component_clause,[],[f1507]) ).

fof(f4225,plain,
    ( ~ spl0_222
    | ~ spl0_237
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(avatar_contradiction_clause,[],[f4224]) ).

fof(f4224,plain,
    ( $false
    | ~ spl0_222
    | ~ spl0_237
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f4199,f1424]) ).

fof(f4199,plain,
    ( ~ c3_1(a1056)
    | ~ spl0_237
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(resolution,[],[f4188,f1499]) ).

fof(f4217,plain,
    ( ~ spl0_118
    | ~ spl0_180
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(avatar_contradiction_clause,[],[f4216]) ).

fof(f4216,plain,
    ( $false
    | ~ spl0_118
    | ~ spl0_180
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f4193,f904]) ).

fof(f904,plain,
    ( c3_1(a1086)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f902,plain,
    ( spl0_118
  <=> c3_1(a1086) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f4193,plain,
    ( ~ c3_1(a1086)
    | ~ spl0_180
    | ~ spl0_272
    | ~ spl0_286 ),
    inference(resolution,[],[f4188,f1214]) ).

fof(f1214,plain,
    ( c2_1(a1086)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1212]) ).

fof(f1212,plain,
    ( spl0_180
  <=> c2_1(a1086) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f4089,plain,
    ( spl0_210
    | spl0_213
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(avatar_contradiction_clause,[],[f4088]) ).

fof(f4088,plain,
    ( $false
    | spl0_210
    | spl0_213
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(subsumption_resolution,[],[f4070,f1364]) ).

fof(f1364,plain,
    ( ~ c1_1(a1055)
    | spl0_210 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f1362,plain,
    ( spl0_210
  <=> c1_1(a1055) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f4070,plain,
    ( c1_1(a1055)
    | spl0_213
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(resolution,[],[f4048,f1379]) ).

fof(f1379,plain,
    ( ~ c2_1(a1055)
    | spl0_213 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f1377,plain,
    ( spl0_213
  <=> c2_1(a1055) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f4048,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_264
    | ~ spl0_281 ),
    inference(subsumption_resolution,[],[f1704,f1633]) ).

fof(f3884,plain,
    ( spl0_271
    | ~ spl0_258
    | ~ spl0_260
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f3873,f1698,f1664,f1615,f1607,f1660]) ).

fof(f1607,plain,
    ( spl0_258
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f1615,plain,
    ( spl0_260
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f3873,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_258
    | ~ spl0_260
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f3849,f1608]) ).

fof(f1608,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_258 ),
    inference(avatar_component_clause,[],[f1607]) ).

fof(f3849,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_260
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1616,f3641]) ).

fof(f1616,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f3792,plain,
    ( spl0_105
    | spl0_50
    | spl0_69
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f3791,f1607,f657,f562,f837]) ).

fof(f837,plain,
    ( spl0_105
  <=> c2_1(a1091) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f562,plain,
    ( spl0_50
  <=> c3_1(a1091) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f657,plain,
    ( spl0_69
  <=> c0_1(a1091) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3791,plain,
    ( c2_1(a1091)
    | spl0_50
    | spl0_69
    | ~ spl0_258 ),
    inference(subsumption_resolution,[],[f3763,f564]) ).

fof(f564,plain,
    ( ~ c3_1(a1091)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f3763,plain,
    ( c2_1(a1091)
    | c3_1(a1091)
    | spl0_69
    | ~ spl0_258 ),
    inference(resolution,[],[f1608,f659]) ).

fof(f659,plain,
    ( ~ c0_1(a1091)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f3686,plain,
    ( ~ spl0_302
    | ~ spl0_135
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f3652,f1698,f1664,f987,f2860]) ).

fof(f2860,plain,
    ( spl0_302
  <=> c3_1(a1078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f987,plain,
    ( spl0_135
  <=> c0_1(a1078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3652,plain,
    ( ~ c3_1(a1078)
    | ~ spl0_135
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f3641,f989]) ).

fof(f989,plain,
    ( c0_1(a1078)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f3685,plain,
    ( ~ spl0_304
    | ~ spl0_240
    | ~ spl0_227
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f3600,f1664,f1447,f1512,f2875]) ).

fof(f2875,plain,
    ( spl0_304
  <=> c3_1(a1042) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f1512,plain,
    ( spl0_240
  <=> c2_1(a1042) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f1447,plain,
    ( spl0_227
  <=> c0_1(a1042) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f3600,plain,
    ( ~ c2_1(a1042)
    | ~ c3_1(a1042)
    | ~ spl0_227
    | ~ spl0_272 ),
    inference(resolution,[],[f1665,f1449]) ).

fof(f1449,plain,
    ( c0_1(a1042)
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f1447]) ).

fof(f3678,plain,
    ( ~ spl0_125
    | ~ spl0_149
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f3677]) ).

fof(f3677,plain,
    ( $false
    | ~ spl0_125
    | ~ spl0_149
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f3654,f939]) ).

fof(f939,plain,
    ( c3_1(a1048)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f937,plain,
    ( spl0_125
  <=> c3_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3654,plain,
    ( ~ c3_1(a1048)
    | ~ spl0_149
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f3641,f1059]) ).

fof(f1059,plain,
    ( c0_1(a1048)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1057,plain,
    ( spl0_149
  <=> c0_1(a1048) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3674,plain,
    ( ~ spl0_219
    | ~ spl0_230
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f3673]) ).

fof(f3673,plain,
    ( $false
    | ~ spl0_219
    | ~ spl0_230
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f3651,f1409]) ).

fof(f1409,plain,
    ( c3_1(a1033)
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f1407]) ).

fof(f1407,plain,
    ( spl0_219
  <=> c3_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f3651,plain,
    ( ~ c3_1(a1033)
    | ~ spl0_230
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f3641,f1464]) ).

fof(f1464,plain,
    ( c0_1(a1033)
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f1462,plain,
    ( spl0_230
  <=> c0_1(a1033) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f3672,plain,
    ( ~ spl0_128
    | ~ spl0_134
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f3671]) ).

fof(f3671,plain,
    ( $false
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f3650,f954]) ).

fof(f954,plain,
    ( c3_1(a1037)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl0_128
  <=> c3_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f3650,plain,
    ( ~ c3_1(a1037)
    | ~ spl0_134
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f3641,f984]) ).

fof(f984,plain,
    ( c0_1(a1037)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f982,plain,
    ( spl0_134
  <=> c0_1(a1037) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3665,plain,
    ( ~ spl0_114
    | ~ spl0_140
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f3664]) ).

fof(f3664,plain,
    ( $false
    | ~ spl0_114
    | ~ spl0_140
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f3645,f884]) ).

fof(f884,plain,
    ( c3_1(a1074)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_114
  <=> c3_1(a1074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f3645,plain,
    ( ~ c3_1(a1074)
    | ~ spl0_140
    | ~ spl0_272
    | ~ spl0_280 ),
    inference(resolution,[],[f3641,f1014]) ).

fof(f1014,plain,
    ( c0_1(a1074)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1012,plain,
    ( spl0_140
  <=> c0_1(a1074) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3661,plain,
    ( ~ spl0_122
    | ~ spl0_272
    | ~ spl0_280
    | ~ spl0_301 ),
    inference(avatar_contradiction_clause,[],[f3660]) ).

fof(f3660,plain,
    ( $false
    | ~ spl0_122
    | ~ spl0_272
    | ~ spl0_280
    | ~ spl0_301 ),
    inference(subsumption_resolution,[],[f3642,f924]) ).

fof(f924,plain,
    ( c3_1(a1105)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f922,plain,
    ( spl0_122
  <=> c3_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3642,plain,
    ( ~ c3_1(a1105)
    | ~ spl0_272
    | ~ spl0_280
    | ~ spl0_301 ),
    inference(resolution,[],[f3641,f2808]) ).

fof(f2808,plain,
    ( c0_1(a1105)
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f2806]) ).

fof(f2806,plain,
    ( spl0_301
  <=> c0_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f3625,plain,
    ( ~ spl0_252
    | ~ spl0_257
    | ~ spl0_272
    | ~ spl0_292 ),
    inference(avatar_contradiction_clause,[],[f3624]) ).

fof(f3624,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_257
    | ~ spl0_272
    | ~ spl0_292 ),
    inference(subsumption_resolution,[],[f3623,f1942]) ).

fof(f1942,plain,
    ( c3_1(a1049)
    | ~ spl0_292 ),
    inference(avatar_component_clause,[],[f1940]) ).

fof(f1940,plain,
    ( spl0_292
  <=> c3_1(a1049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f3623,plain,
    ( ~ c3_1(a1049)
    | ~ spl0_252
    | ~ spl0_257
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f3598,f1599]) ).

fof(f1599,plain,
    ( c2_1(a1049)
    | ~ spl0_257 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1597,plain,
    ( spl0_257
  <=> c2_1(a1049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f3598,plain,
    ( ~ c2_1(a1049)
    | ~ c3_1(a1049)
    | ~ spl0_252
    | ~ spl0_272 ),
    inference(resolution,[],[f1665,f1574]) ).

fof(f1574,plain,
    ( c0_1(a1049)
    | ~ spl0_252 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f1572,plain,
    ( spl0_252
  <=> c0_1(a1049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f3619,plain,
    ( ~ spl0_218
    | ~ spl0_224
    | ~ spl0_238
    | ~ spl0_272 ),
    inference(avatar_contradiction_clause,[],[f3618]) ).

fof(f3618,plain,
    ( $false
    | ~ spl0_218
    | ~ spl0_224
    | ~ spl0_238
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f3617,f1404]) ).

fof(f1404,plain,
    ( c3_1(a1062)
    | ~ spl0_218 ),
    inference(avatar_component_clause,[],[f1402]) ).

fof(f1402,plain,
    ( spl0_218
  <=> c3_1(a1062) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f3617,plain,
    ( ~ c3_1(a1062)
    | ~ spl0_224
    | ~ spl0_238
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f3596,f1504]) ).

fof(f1504,plain,
    ( c2_1(a1062)
    | ~ spl0_238 ),
    inference(avatar_component_clause,[],[f1502]) ).

fof(f1502,plain,
    ( spl0_238
  <=> c2_1(a1062) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f3596,plain,
    ( ~ c2_1(a1062)
    | ~ c3_1(a1062)
    | ~ spl0_224
    | ~ spl0_272 ),
    inference(resolution,[],[f1665,f1434]) ).

fof(f1434,plain,
    ( c0_1(a1062)
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f1432]) ).

fof(f1432,plain,
    ( spl0_224
  <=> c0_1(a1062) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f3510,plain,
    ( spl0_309
    | spl0_209
    | ~ spl0_223
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f3509,f1627,f1427,f1357,f2951]) ).

fof(f1627,plain,
    ( spl0_263
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f3509,plain,
    ( c2_1(a1084)
    | spl0_209
    | ~ spl0_223
    | ~ spl0_263 ),
    inference(subsumption_resolution,[],[f3483,f1359]) ).

fof(f3483,plain,
    ( c2_1(a1084)
    | c1_1(a1084)
    | ~ spl0_223
    | ~ spl0_263 ),
    inference(resolution,[],[f1628,f1429]) ).

fof(f1628,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_263 ),
    inference(avatar_component_clause,[],[f1627]) ).

fof(f3475,plain,
    ( spl0_292
    | ~ spl0_252
    | ~ spl0_254
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f3474,f1615,f1582,f1572,f1940]) ).

fof(f1582,plain,
    ( spl0_254
  <=> c1_1(a1049) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f3474,plain,
    ( c3_1(a1049)
    | ~ spl0_252
    | ~ spl0_254
    | ~ spl0_260 ),
    inference(subsumption_resolution,[],[f3457,f1584]) ).

fof(f1584,plain,
    ( c1_1(a1049)
    | ~ spl0_254 ),
    inference(avatar_component_clause,[],[f1582]) ).

fof(f3457,plain,
    ( c3_1(a1049)
    | ~ c1_1(a1049)
    | ~ spl0_252
    | ~ spl0_260 ),
    inference(resolution,[],[f1616,f1574]) ).

fof(f3442,plain,
    ( spl0_48
    | spl0_92
    | ~ spl0_144
    | ~ spl0_262 ),
    inference(avatar_contradiction_clause,[],[f3441]) ).

fof(f3441,plain,
    ( $false
    | spl0_48
    | spl0_92
    | ~ spl0_144
    | ~ spl0_262 ),
    inference(subsumption_resolution,[],[f3440,f554]) ).

fof(f3440,plain,
    ( c3_1(a1036)
    | spl0_92
    | ~ spl0_144
    | ~ spl0_262 ),
    inference(subsumption_resolution,[],[f3424,f774]) ).

fof(f3424,plain,
    ( c1_1(a1036)
    | c3_1(a1036)
    | ~ spl0_144
    | ~ spl0_262 ),
    inference(resolution,[],[f1624,f1034]) ).

fof(f1034,plain,
    ( c0_1(a1036)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1032,plain,
    ( spl0_144
  <=> c0_1(a1036) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1624,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_262 ),
    inference(avatar_component_clause,[],[f1623]) ).

fof(f1623,plain,
    ( spl0_262
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f3439,plain,
    ( spl0_201
    | spl0_207
    | ~ spl0_228
    | ~ spl0_262 ),
    inference(avatar_contradiction_clause,[],[f3438]) ).

fof(f3438,plain,
    ( $false
    | spl0_201
    | spl0_207
    | ~ spl0_228
    | ~ spl0_262 ),
    inference(subsumption_resolution,[],[f3437,f1319]) ).

fof(f1319,plain,
    ( ~ c3_1(a1043)
    | spl0_201 ),
    inference(avatar_component_clause,[],[f1317]) ).

fof(f1317,plain,
    ( spl0_201
  <=> c3_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f3437,plain,
    ( c3_1(a1043)
    | spl0_207
    | ~ spl0_228
    | ~ spl0_262 ),
    inference(subsumption_resolution,[],[f3422,f1349]) ).

fof(f1349,plain,
    ( ~ c1_1(a1043)
    | spl0_207 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1347,plain,
    ( spl0_207
  <=> c1_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f3422,plain,
    ( c1_1(a1043)
    | c3_1(a1043)
    | ~ spl0_228
    | ~ spl0_262 ),
    inference(resolution,[],[f1624,f1454]) ).

fof(f1454,plain,
    ( c0_1(a1043)
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f1452,plain,
    ( spl0_228
  <=> c0_1(a1043) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f3353,plain,
    ( spl0_212
    | ~ spl0_227
    | ~ spl0_240
    | ~ spl0_261 ),
    inference(avatar_contradiction_clause,[],[f3352]) ).

fof(f3352,plain,
    ( $false
    | spl0_212
    | ~ spl0_227
    | ~ spl0_240
    | ~ spl0_261 ),
    inference(subsumption_resolution,[],[f3351,f1514]) ).

fof(f1514,plain,
    ( c2_1(a1042)
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f1512]) ).

fof(f3351,plain,
    ( ~ c2_1(a1042)
    | spl0_212
    | ~ spl0_227
    | ~ spl0_261 ),
    inference(subsumption_resolution,[],[f3337,f1374]) ).

fof(f1374,plain,
    ( ~ c1_1(a1042)
    | spl0_212 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f1372,plain,
    ( spl0_212
  <=> c1_1(a1042) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f3337,plain,
    ( c1_1(a1042)
    | ~ c2_1(a1042)
    | ~ spl0_227
    | ~ spl0_261 ),
    inference(resolution,[],[f1620,f1449]) ).

fof(f3349,plain,
    ( ~ spl0_309
    | spl0_209
    | ~ spl0_223
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f3348,f1619,f1427,f1357,f2951]) ).

fof(f3348,plain,
    ( ~ c2_1(a1084)
    | spl0_209
    | ~ spl0_223
    | ~ spl0_261 ),
    inference(subsumption_resolution,[],[f3330,f1359]) ).

fof(f3330,plain,
    ( c1_1(a1084)
    | ~ c2_1(a1084)
    | ~ spl0_223
    | ~ spl0_261 ),
    inference(resolution,[],[f1620,f1429]) ).

fof(f3301,plain,
    ( ~ spl0_304
    | spl0_212
    | ~ spl0_227
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f3150,f1640,f1447,f1372,f2875]) ).

fof(f1640,plain,
    ( spl0_266
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f3150,plain,
    ( c1_1(a1042)
    | ~ c3_1(a1042)
    | ~ spl0_227
    | ~ spl0_266 ),
    inference(resolution,[],[f1641,f1449]) ).

fof(f1641,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f1640]) ).

fof(f3297,plain,
    ( spl0_91
    | ~ spl0_135
    | ~ spl0_171
    | ~ spl0_261 ),
    inference(avatar_contradiction_clause,[],[f3296]) ).

fof(f3296,plain,
    ( $false
    | spl0_91
    | ~ spl0_135
    | ~ spl0_171
    | ~ spl0_261 ),
    inference(subsumption_resolution,[],[f3295,f1169]) ).

fof(f1169,plain,
    ( c2_1(a1078)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1167,plain,
    ( spl0_171
  <=> c2_1(a1078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3295,plain,
    ( ~ c2_1(a1078)
    | spl0_91
    | ~ spl0_135
    | ~ spl0_261 ),
    inference(subsumption_resolution,[],[f3285,f769]) ).

fof(f769,plain,
    ( ~ c1_1(a1078)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f767,plain,
    ( spl0_91
  <=> c1_1(a1078) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f3285,plain,
    ( c1_1(a1078)
    | ~ c2_1(a1078)
    | ~ spl0_135
    | ~ spl0_261 ),
    inference(resolution,[],[f1620,f989]) ).

fof(f3162,plain,
    ( ~ spl0_302
    | spl0_91
    | ~ spl0_135
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f3161,f1640,f987,f767,f2860]) ).

fof(f3161,plain,
    ( ~ c3_1(a1078)
    | spl0_91
    | ~ spl0_135
    | ~ spl0_266 ),
    inference(subsumption_resolution,[],[f3152,f769]) ).

fof(f3152,plain,
    ( c1_1(a1078)
    | ~ c3_1(a1078)
    | ~ spl0_135
    | ~ spl0_266 ),
    inference(resolution,[],[f1641,f989]) ).

fof(f3159,plain,
    ( ~ spl0_303
    | spl0_205
    | ~ spl0_226
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f3158,f1640,f1442,f1337,f2868]) ).

fof(f2868,plain,
    ( spl0_303
  <=> c3_1(a1070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f1337,plain,
    ( spl0_205
  <=> c1_1(a1070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f1442,plain,
    ( spl0_226
  <=> c0_1(a1070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f3158,plain,
    ( ~ c3_1(a1070)
    | spl0_205
    | ~ spl0_226
    | ~ spl0_266 ),
    inference(subsumption_resolution,[],[f3145,f1339]) ).

fof(f1339,plain,
    ( ~ c1_1(a1070)
    | spl0_205 ),
    inference(avatar_component_clause,[],[f1337]) ).

fof(f3145,plain,
    ( c1_1(a1070)
    | ~ c3_1(a1070)
    | ~ spl0_226
    | ~ spl0_266 ),
    inference(resolution,[],[f1641,f1444]) ).

fof(f1444,plain,
    ( c0_1(a1070)
    | ~ spl0_226 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f3140,plain,
    ( spl0_204
    | spl0_214
    | ~ spl0_233
    | ~ spl0_277 ),
    inference(avatar_contradiction_clause,[],[f3139]) ).

fof(f3139,plain,
    ( $false
    | spl0_204
    | spl0_214
    | ~ spl0_233
    | ~ spl0_277 ),
    inference(subsumption_resolution,[],[f3138,f1334]) ).

fof(f1334,plain,
    ( ~ c0_1(a1039)
    | spl0_204 ),
    inference(avatar_component_clause,[],[f1332]) ).

fof(f1332,plain,
    ( spl0_204
  <=> c0_1(a1039) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f3138,plain,
    ( c0_1(a1039)
    | spl0_214
    | ~ spl0_233
    | ~ spl0_277 ),
    inference(subsumption_resolution,[],[f3127,f1384]) ).

fof(f1384,plain,
    ( ~ c2_1(a1039)
    | spl0_214 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1382,plain,
    ( spl0_214
  <=> c2_1(a1039) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f3127,plain,
    ( c2_1(a1039)
    | c0_1(a1039)
    | ~ spl0_233
    | ~ spl0_277 ),
    inference(resolution,[],[f1687,f1479]) ).

fof(f1479,plain,
    ( c1_1(a1039)
    | ~ spl0_233 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f1477,plain,
    ( spl0_233
  <=> c1_1(a1039) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f1687,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_277 ),
    inference(avatar_component_clause,[],[f1686]) ).

fof(f1686,plain,
    ( spl0_277
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f3065,plain,
    ( spl0_203
    | spl0_210
    | spl0_213
    | ~ spl0_274 ),
    inference(avatar_contradiction_clause,[],[f3064]) ).

fof(f3064,plain,
    ( $false
    | spl0_203
    | spl0_210
    | spl0_213
    | ~ spl0_274 ),
    inference(subsumption_resolution,[],[f3063,f1364]) ).

fof(f3063,plain,
    ( c1_1(a1055)
    | spl0_203
    | spl0_213
    | ~ spl0_274 ),
    inference(subsumption_resolution,[],[f3047,f1379]) ).

fof(f3047,plain,
    ( c2_1(a1055)
    | c1_1(a1055)
    | spl0_203
    | ~ spl0_274 ),
    inference(resolution,[],[f1674,f1329]) ).

fof(f1329,plain,
    ( ~ c0_1(a1055)
    | spl0_203 ),
    inference(avatar_component_clause,[],[f1327]) ).

fof(f1327,plain,
    ( spl0_203
  <=> c0_1(a1055) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f3062,plain,
    ( spl0_76
    | spl0_89
    | spl0_107
    | ~ spl0_274 ),
    inference(avatar_contradiction_clause,[],[f3061]) ).

fof(f3061,plain,
    ( $false
    | spl0_76
    | spl0_89
    | spl0_107
    | ~ spl0_274 ),
    inference(subsumption_resolution,[],[f3060,f759]) ).

fof(f759,plain,
    ( ~ c1_1(a1080)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_89
  <=> c1_1(a1080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3060,plain,
    ( c1_1(a1080)
    | spl0_76
    | spl0_107
    | ~ spl0_274 ),
    inference(subsumption_resolution,[],[f3046,f849]) ).

fof(f849,plain,
    ( ~ c2_1(a1080)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f847,plain,
    ( spl0_107
  <=> c2_1(a1080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3046,plain,
    ( c2_1(a1080)
    | c1_1(a1080)
    | spl0_76
    | ~ spl0_274 ),
    inference(resolution,[],[f1674,f694]) ).

fof(f694,plain,
    ( ~ c0_1(a1080)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f692,plain,
    ( spl0_76
  <=> c0_1(a1080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3003,plain,
    ( spl0_302
    | ~ spl0_135
    | ~ spl0_171
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3002,f1652,f1167,f987,f2860]) ).

fof(f3002,plain,
    ( c3_1(a1078)
    | ~ spl0_135
    | ~ spl0_171
    | ~ spl0_269 ),
    inference(subsumption_resolution,[],[f2993,f1169]) ).

fof(f2993,plain,
    ( c3_1(a1078)
    | ~ c2_1(a1078)
    | ~ spl0_135
    | ~ spl0_269 ),
    inference(resolution,[],[f1653,f989]) ).

fof(f3001,plain,
    ( spl0_304
    | ~ spl0_227
    | ~ spl0_240
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3000,f1652,f1512,f1447,f2875]) ).

fof(f3000,plain,
    ( c3_1(a1042)
    | ~ spl0_227
    | ~ spl0_240
    | ~ spl0_269 ),
    inference(subsumption_resolution,[],[f2991,f1514]) ).

fof(f2991,plain,
    ( c3_1(a1042)
    | ~ c2_1(a1042)
    | ~ spl0_227
    | ~ spl0_269 ),
    inference(resolution,[],[f1653,f1449]) ).

fof(f2999,plain,
    ( spl0_303
    | ~ spl0_226
    | ~ spl0_236
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2998,f1652,f1492,f1442,f2868]) ).

fof(f1492,plain,
    ( spl0_236
  <=> c2_1(a1070) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2998,plain,
    ( c3_1(a1070)
    | ~ spl0_226
    | ~ spl0_236
    | ~ spl0_269 ),
    inference(subsumption_resolution,[],[f2986,f1494]) ).

fof(f1494,plain,
    ( c2_1(a1070)
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f1492]) ).

fof(f2986,plain,
    ( c3_1(a1070)
    | ~ c2_1(a1070)
    | ~ spl0_226
    | ~ spl0_269 ),
    inference(resolution,[],[f1653,f1444]) ).

fof(f2997,plain,
    ( ~ spl0_309
    | spl0_200
    | ~ spl0_223
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2996,f1652,f1427,f1312,f2951]) ).

fof(f2996,plain,
    ( ~ c2_1(a1084)
    | spl0_200
    | ~ spl0_223
    | ~ spl0_269 ),
    inference(subsumption_resolution,[],[f2983,f1314]) ).

fof(f2983,plain,
    ( c3_1(a1084)
    | ~ c2_1(a1084)
    | ~ spl0_223
    | ~ spl0_269 ),
    inference(resolution,[],[f1653,f1429]) ).

fof(f2946,plain,
    ( spl0_106
    | ~ spl0_129
    | ~ spl0_158
    | ~ spl0_268 ),
    inference(avatar_contradiction_clause,[],[f2945]) ).

fof(f2945,plain,
    ( $false
    | spl0_106
    | ~ spl0_129
    | ~ spl0_158
    | ~ spl0_268 ),
    inference(subsumption_resolution,[],[f2944,f1104]) ).

fof(f1104,plain,
    ( c1_1(a1088)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1102]) ).

fof(f1102,plain,
    ( spl0_158
  <=> c1_1(a1088) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2944,plain,
    ( ~ c1_1(a1088)
    | spl0_106
    | ~ spl0_129
    | ~ spl0_268 ),
    inference(subsumption_resolution,[],[f2933,f959]) ).

fof(f959,plain,
    ( c3_1(a1088)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl0_129
  <=> c3_1(a1088) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2933,plain,
    ( ~ c3_1(a1088)
    | ~ c1_1(a1088)
    | spl0_106
    | ~ spl0_268 ),
    inference(resolution,[],[f1649,f844]) ).

fof(f844,plain,
    ( ~ c2_1(a1088)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl0_106
  <=> c2_1(a1088) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2942,plain,
    ( spl0_104
    | ~ spl0_122
    | ~ spl0_156
    | ~ spl0_268 ),
    inference(avatar_contradiction_clause,[],[f2941]) ).

fof(f2941,plain,
    ( $false
    | spl0_104
    | ~ spl0_122
    | ~ spl0_156
    | ~ spl0_268 ),
    inference(subsumption_resolution,[],[f2940,f1094]) ).

fof(f1094,plain,
    ( c1_1(a1105)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f1092,plain,
    ( spl0_156
  <=> c1_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2940,plain,
    ( ~ c1_1(a1105)
    | spl0_104
    | ~ spl0_122
    | ~ spl0_268 ),
    inference(subsumption_resolution,[],[f2927,f924]) ).

fof(f2927,plain,
    ( ~ c3_1(a1105)
    | ~ c1_1(a1105)
    | spl0_104
    | ~ spl0_268 ),
    inference(resolution,[],[f1649,f834]) ).

fof(f834,plain,
    ( ~ c2_1(a1105)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_104
  <=> c2_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2811,plain,
    ( spl0_200
    | spl0_209
    | ~ spl0_223
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f2795,f1623,f1427,f1357,f1312]) ).

fof(f2795,plain,
    ( c3_1(a1084)
    | spl0_209
    | ~ spl0_223
    | ~ spl0_262 ),
    inference(subsumption_resolution,[],[f2783,f1359]) ).

fof(f2783,plain,
    ( c1_1(a1084)
    | c3_1(a1084)
    | ~ spl0_223
    | ~ spl0_262 ),
    inference(resolution,[],[f1624,f1429]) ).

fof(f2810,plain,
    ( ~ spl0_156
    | spl0_301
    | ~ spl0_122
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f2756,f1611,f922,f2806,f1092]) ).

fof(f2756,plain,
    ( c0_1(a1105)
    | ~ c1_1(a1105)
    | ~ spl0_122
    | ~ spl0_259 ),
    inference(resolution,[],[f1612,f924]) ).

fof(f2736,plain,
    ( spl0_83
    | ~ spl0_141
    | ~ spl0_262
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f2735]) ).

fof(f2735,plain,
    ( $false
    | spl0_83
    | ~ spl0_141
    | ~ spl0_262
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2733,f729]) ).

fof(f2733,plain,
    ( c1_1(a1053)
    | ~ spl0_141
    | ~ spl0_262
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(resolution,[],[f1019,f2694]) ).

fof(f2694,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_262
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1624,f2507]) ).

fof(f2507,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1665,f2272]) ).

fof(f2272,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1699,f1669]) ).

fof(f1669,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_273 ),
    inference(avatar_component_clause,[],[f1668]) ).

fof(f1668,plain,
    ( spl0_273
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f1019,plain,
    ( c0_1(a1053)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1017,plain,
    ( spl0_141
  <=> c0_1(a1053) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2673,plain,
    ( ~ spl0_121
    | ~ spl0_167
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f2672]) ).

fof(f2672,plain,
    ( $false
    | ~ spl0_121
    | ~ spl0_167
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2654,f919]) ).

fof(f2654,plain,
    ( ~ c3_1(a1103)
    | ~ spl0_167
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(resolution,[],[f2652,f1149]) ).

fof(f2652,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_259
    | ~ spl0_272
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1612,f2507]) ).

fof(f2589,plain,
    ( spl0_213
    | spl0_203
    | ~ spl0_258
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f2588,f1668,f1607,f1327,f1377]) ).

fof(f2588,plain,
    ( c2_1(a1055)
    | spl0_203
    | ~ spl0_258
    | ~ spl0_273 ),
    inference(resolution,[],[f1329,f1935]) ).

fof(f1935,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_258
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1608,f1669]) ).

fof(f2430,plain,
    ( spl0_83
    | spl0_109
    | ~ spl0_264
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f2429]) ).

fof(f2429,plain,
    ( $false
    | spl0_83
    | spl0_109
    | ~ spl0_264
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2420,f729]) ).

fof(f2420,plain,
    ( c1_1(a1053)
    | spl0_109
    | ~ spl0_264
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(resolution,[],[f2418,f859]) ).

fof(f2418,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_264
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1633,f2272]) ).

fof(f2304,plain,
    ( spl0_106
    | ~ spl0_129
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | spl0_106
    | ~ spl0_129
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2286,f959]) ).

fof(f2286,plain,
    ( ~ c3_1(a1088)
    | spl0_106
    | ~ spl0_273
    | ~ spl0_280 ),
    inference(resolution,[],[f2272,f844]) ).

fof(f2206,plain,
    ( spl0_82
    | ~ spl0_127
    | ~ spl0_183
    | ~ spl0_279 ),
    inference(avatar_contradiction_clause,[],[f2205]) ).

fof(f2205,plain,
    ( $false
    | spl0_82
    | ~ spl0_127
    | ~ spl0_183
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f2204,f949]) ).

fof(f949,plain,
    ( c3_1(a1083)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl0_127
  <=> c3_1(a1083) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2204,plain,
    ( ~ c3_1(a1083)
    | spl0_82
    | ~ spl0_183
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f2203,f724]) ).

fof(f2203,plain,
    ( c1_1(a1083)
    | ~ c3_1(a1083)
    | ~ spl0_183
    | ~ spl0_279 ),
    inference(resolution,[],[f1229,f1695]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_279 ),
    inference(avatar_component_clause,[],[f1694]) ).

fof(f2134,plain,
    ( spl0_110
    | spl0_71
    | ~ spl0_258
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f2133,f1668,f1607,f667,f862]) ).

fof(f667,plain,
    ( spl0_71
  <=> c0_1(a1079) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2133,plain,
    ( c2_1(a1079)
    | spl0_71
    | ~ spl0_258
    | ~ spl0_273 ),
    inference(resolution,[],[f669,f1935]) ).

fof(f669,plain,
    ( ~ c0_1(a1079)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f2030,plain,
    ( ~ spl0_235
    | ~ spl0_239
    | ~ spl0_270
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2008,f1690,f1656,f1507,f1487]) ).

fof(f1656,plain,
    ( spl0_270
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f1690,plain,
    ( spl0_278
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f2008,plain,
    ( ~ c1_1(a1040)
    | ~ spl0_239
    | ~ spl0_270
    | ~ spl0_278 ),
    inference(resolution,[],[f1944,f1509]) ).

fof(f1944,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_270
    | ~ spl0_278 ),
    inference(subsumption_resolution,[],[f1657,f1691]) ).

fof(f1691,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f1690]) ).

fof(f1657,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_270 ),
    inference(avatar_component_clause,[],[f1656]) ).

fof(f2018,plain,
    ( ~ spl0_234
    | ~ spl0_237
    | ~ spl0_270
    | ~ spl0_278 ),
    inference(avatar_contradiction_clause,[],[f2017]) ).

fof(f2017,plain,
    ( $false
    | ~ spl0_234
    | ~ spl0_237
    | ~ spl0_270
    | ~ spl0_278 ),
    inference(subsumption_resolution,[],[f2005,f1484]) ).

fof(f2005,plain,
    ( ~ c1_1(a1056)
    | ~ spl0_237
    | ~ spl0_270
    | ~ spl0_278 ),
    inference(resolution,[],[f1944,f1499]) ).

fof(f1938,plain,
    ( ~ spl0_254
    | ~ spl0_257
    | ~ spl0_252
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f1936,f1690,f1572,f1597,f1582]) ).

fof(f1936,plain,
    ( ~ c2_1(a1049)
    | ~ c1_1(a1049)
    | ~ spl0_252
    | ~ spl0_278 ),
    inference(resolution,[],[f1574,f1691]) ).

fof(f1929,plain,
    ( spl0_204
    | spl0_214
    | ~ spl0_233
    | ~ spl0_271
    | ~ spl0_273 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1928,plain,
    ( $false
    | spl0_204
    | spl0_214
    | ~ spl0_233
    | ~ spl0_271
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1927,f1334]) ).

fof(f1927,plain,
    ( c0_1(a1039)
    | spl0_214
    | ~ spl0_233
    | ~ spl0_271
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1926,f1384]) ).

fof(f1926,plain,
    ( c2_1(a1039)
    | c0_1(a1039)
    | spl0_214
    | ~ spl0_233
    | ~ spl0_271
    | ~ spl0_273 ),
    inference(resolution,[],[f1780,f1669]) ).

fof(f1780,plain,
    ( c3_1(a1039)
    | spl0_214
    | ~ spl0_233
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f1768,f1479]) ).

fof(f1768,plain,
    ( ~ c1_1(a1039)
    | c3_1(a1039)
    | spl0_214
    | ~ spl0_271 ),
    inference(resolution,[],[f1661,f1384]) ).

fof(f1914,plain,
    ( spl0_68
    | spl0_101
    | ~ spl0_126
    | ~ spl0_273 ),
    inference(avatar_contradiction_clause,[],[f1913]) ).

fof(f1913,plain,
    ( $false
    | spl0_68
    | spl0_101
    | ~ spl0_126
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1912,f654]) ).

fof(f1912,plain,
    ( c0_1(a1077)
    | spl0_101
    | ~ spl0_126
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1900,f819]) ).

fof(f1900,plain,
    ( c2_1(a1077)
    | c0_1(a1077)
    | ~ spl0_126
    | ~ spl0_273 ),
    inference(resolution,[],[f1669,f944]) ).

fof(f1884,plain,
    ( ~ spl0_221
    | ~ spl0_239
    | ~ spl0_267
    | ~ spl0_279 ),
    inference(avatar_contradiction_clause,[],[f1883]) ).

fof(f1883,plain,
    ( $false
    | ~ spl0_221
    | ~ spl0_239
    | ~ spl0_267
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f1872,f1419]) ).

fof(f1872,plain,
    ( ~ c3_1(a1040)
    | ~ spl0_239
    | ~ spl0_267
    | ~ spl0_279 ),
    inference(resolution,[],[f1857,f1509]) ).

fof(f1857,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_267
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f1645,f1695]) ).

fof(f1882,plain,
    ( ~ spl0_222
    | ~ spl0_237
    | ~ spl0_267
    | ~ spl0_279 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1881,plain,
    ( $false
    | ~ spl0_222
    | ~ spl0_237
    | ~ spl0_267
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f1870,f1424]) ).

fof(f1870,plain,
    ( ~ c3_1(a1056)
    | ~ spl0_237
    | ~ spl0_267
    | ~ spl0_279 ),
    inference(resolution,[],[f1857,f1499]) ).

fof(f1863,plain,
    ( spl0_81
    | ~ spl0_133
    | ~ spl0_177
    | ~ spl0_279 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | spl0_81
    | ~ spl0_133
    | ~ spl0_177
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f1861,f979]) ).

fof(f979,plain,
    ( c3_1(a1059)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f977,plain,
    ( spl0_133
  <=> c3_1(a1059) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1861,plain,
    ( ~ c3_1(a1059)
    | spl0_81
    | ~ spl0_177
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f1860,f719]) ).

fof(f1860,plain,
    ( c1_1(a1059)
    | ~ c3_1(a1059)
    | ~ spl0_177
    | ~ spl0_279 ),
    inference(resolution,[],[f1199,f1695]) ).

fof(f1854,plain,
    ( spl0_247
    | ~ spl0_249
    | ~ spl0_256
    | ~ spl0_279 ),
    inference(avatar_contradiction_clause,[],[f1853]) ).

fof(f1853,plain,
    ( $false
    | spl0_247
    | ~ spl0_249
    | ~ spl0_256
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f1852,f1559]) ).

fof(f1852,plain,
    ( ~ c3_1(a1031)
    | spl0_247
    | ~ spl0_256
    | ~ spl0_279 ),
    inference(subsumption_resolution,[],[f1843,f1549]) ).

fof(f1843,plain,
    ( c1_1(a1031)
    | ~ c3_1(a1031)
    | ~ spl0_256
    | ~ spl0_279 ),
    inference(resolution,[],[f1695,f1594]) ).

fof(f1832,plain,
    ( ~ spl0_168
    | ~ spl0_143
    | ~ spl0_152
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f1831,f1690,f1072,f1027,f1152]) ).

fof(f1152,plain,
    ( spl0_168
  <=> c2_1(a1073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1027,plain,
    ( spl0_143
  <=> c0_1(a1073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1072,plain,
    ( spl0_152
  <=> c1_1(a1073) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1831,plain,
    ( ~ c2_1(a1073)
    | ~ spl0_143
    | ~ spl0_152
    | ~ spl0_278 ),
    inference(subsumption_resolution,[],[f1814,f1074]) ).

fof(f1074,plain,
    ( c1_1(a1073)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f1814,plain,
    ( ~ c2_1(a1073)
    | ~ c1_1(a1073)
    | ~ spl0_143
    | ~ spl0_278 ),
    inference(resolution,[],[f1691,f1029]) ).

fof(f1029,plain,
    ( c0_1(a1073)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1800,plain,
    ( ~ spl0_119
    | ~ spl0_136
    | ~ spl0_179
    | ~ spl0_272 ),
    inference(avatar_contradiction_clause,[],[f1799]) ).

fof(f1799,plain,
    ( $false
    | ~ spl0_119
    | ~ spl0_136
    | ~ spl0_179
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1798,f909]) ).

fof(f909,plain,
    ( c3_1(a1085)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f907,plain,
    ( spl0_119
  <=> c3_1(a1085) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1798,plain,
    ( ~ c3_1(a1085)
    | ~ spl0_136
    | ~ spl0_179
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1787,f1209]) ).

fof(f1209,plain,
    ( c2_1(a1085)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1207,plain,
    ( spl0_179
  <=> c2_1(a1085) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1787,plain,
    ( ~ c2_1(a1085)
    | ~ c3_1(a1085)
    | ~ spl0_136
    | ~ spl0_272 ),
    inference(resolution,[],[f1665,f994]) ).

fof(f994,plain,
    ( c0_1(a1085)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl0_136
  <=> c0_1(a1085) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1748,plain,
    ( spl0_264
    | spl0_287
    | spl0_262
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f313,f318,f1623,f1736,f1632]) ).

fof(f318,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f313,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause313) ).

fof(f1747,plain,
    ( spl0_274
    | spl0_284
    | spl0_286
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f315,f318,f1732,f1719,f1673]) ).

fof(f315,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X0)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause315) ).

fof(f1746,plain,
    ( spl0_260
    | spl0_262
    | spl0_267
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f316,f318,f1644,f1623,f1615]) ).

fof(f316,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause316) ).

fof(f1745,plain,
    ( spl0_277
    | spl0_267
    | spl0_244
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f300,f318,f1532,f1644,f1686]) ).

fof(f1532,plain,
    ( spl0_244
  <=> hskp33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f300,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp33
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause300) ).

fof(f1740,plain,
    ( spl0_269
    | spl0_261
    | spl0_193
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f303,f318,f1277,f1619,f1652]) ).

fof(f1277,plain,
    ( spl0_193
  <=> hskp47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f303,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp47
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause303) ).

fof(f1739,plain,
    ( spl0_258
    | spl0_273
    | spl0_189
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f286,f318,f1257,f1668,f1607]) ).

fof(f1257,plain,
    ( spl0_189
  <=> hskp35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f286,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp35
      | ~ c3_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause286) ).

fof(f1738,plain,
    ( spl0_287
    | spl0_268
    | spl0_192
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f295,f318,f1272,f1648,f1736]) ).

fof(f1272,plain,
    ( spl0_192
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f295,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp42
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).

fof(f1734,plain,
    ( spl0_271
    | spl0_286
    | spl0_189
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f298,f318,f1257,f1732,f1660]) ).

fof(f298,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp35
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause298) ).

fof(f1729,plain,
    ( spl0_263
    | spl0_272
    | spl0_195
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f306,f318,f1287,f1664,f1627]) ).

fof(f1287,plain,
    ( spl0_195
  <=> hskp51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f306,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp51
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause306) ).

fof(f1727,plain,
    ( spl0_278
    | spl0_280
    | spl0_186
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f307,f318,f1242,f1698,f1690]) ).

fof(f1242,plain,
    ( spl0_186
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f307,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause307) ).

fof(f1726,plain,
    ( spl0_266
    | spl0_280
    | spl0_190
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f301,f318,f1262,f1698,f1640]) ).

fof(f1262,plain,
    ( spl0_190
  <=> hskp38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f301,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp38
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause301) ).

fof(f1711,plain,
    ( spl0_277
    | spl0_267
    | spl0_40
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f305,f318,f512,f1644,f1686]) ).

fof(f512,plain,
    ( spl0_40
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f305,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp25
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause305) ).

fof(f1705,plain,
    ( spl0_281
    | spl0_268
    | spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f296,f318,f347,f1648,f1703]) ).

fof(f347,plain,
    ( spl0_7
  <=> hskp58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f296,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp58
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause296) ).

fof(f1700,plain,
    ( spl0_280
    | spl0_279
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f304,f318,f352,f1694,f1698]) ).

fof(f352,plain,
    ( spl0_8
  <=> hskp57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f304,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp57
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause304) ).

fof(f1696,plain,
    ( spl0_272
    | spl0_279
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f309,f318,f372,f1694,f1664]) ).

fof(f372,plain,
    ( spl0_12
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f309,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp53
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause309) ).

fof(f1692,plain,
    ( spl0_278
    | spl0_272
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f311,f318,f1664,f1690]) ).

fof(f311,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause311) ).

fof(f1680,plain,
    ( spl0_270
    | spl0_243
    | spl0_199
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f277,f318,f1307,f1527,f1656]) ).

fof(f1527,plain,
    ( spl0_243
  <=> hskp43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f1307,plain,
    ( spl0_199
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f277,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp43
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause277) ).

fof(f1675,plain,
    ( spl0_274
    | spl0_194
    | spl0_187
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f264,f318,f1247,f1282,f1673]) ).

fof(f1282,plain,
    ( spl0_194
  <=> hskp48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f1247,plain,
    ( spl0_187
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f264,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp48
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause264) ).

fof(f1671,plain,
    ( spl0_269
    | spl0_243
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f276,f318,f457,f1527,f1652]) ).

fof(f457,plain,
    ( spl0_29
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f276,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp43
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).

fof(f1670,plain,
    ( spl0_273
    | spl0_244
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f266,f318,f462,f1532,f1668]) ).

fof(f462,plain,
    ( spl0_30
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f266,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp33
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause266) ).

fof(f1666,plain,
    ( spl0_272
    | spl0_244
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f284,f318,f522,f1532,f1664]) ).

fof(f522,plain,
    ( spl0_42
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f284,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp33
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).

fof(f1650,plain,
    ( spl0_268
    | spl0_196
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f281,f318,f527,f1292,f1648]) ).

fof(f1292,plain,
    ( spl0_196
  <=> hskp56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f527,plain,
    ( spl0_43
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f281,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp56
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause281) ).

fof(f1646,plain,
    ( spl0_267
    | spl0_193
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f283,f318,f367,f1277,f1644]) ).

fof(f367,plain,
    ( spl0_11
  <=> hskp54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f283,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp54
      | hskp47
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause283) ).

fof(f1625,plain,
    ( spl0_262
    | spl0_46
    | spl0_45
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f269,f318,f537,f542,f1623]) ).

fof(f542,plain,
    ( spl0_46
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f537,plain,
    ( spl0_45
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f269,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp19
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause269) ).

fof(f1613,plain,
    ( spl0_259
    | spl0_23
    | spl0_28
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f274,f318,f452,f427,f1611]) ).

fof(f427,plain,
    ( spl0_23
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f452,plain,
    ( spl0_28
  <=> hskp37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f274,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp37
      | hskp8
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause274) ).

fof(f1609,plain,
    ( spl0_258
    | spl0_199
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f262,f318,f1307,f1607]) ).

fof(f262,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause262) ).

fof(f1605,plain,
    ( spl0_190
    | spl0_187
    | spl0_19 ),
    inference(avatar_split_clause,[],[f66,f407,f1247,f1262]) ).

fof(f407,plain,
    ( spl0_19
  <=> hskp46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f66,axiom,
    ( hskp46
    | hskp14
    | hskp38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f1604,plain,
    ( spl0_243
    | spl0_38
    | spl0_37 ),
    inference(avatar_split_clause,[],[f68,f497,f502,f1527]) ).

fof(f502,plain,
    ( spl0_38
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f497,plain,
    ( spl0_37
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f68,axiom,
    ( hskp28
    | hskp27
    | hskp43 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f1603,plain,
    ( spl0_196
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f69,f322,f327,f1292]) ).

fof(f327,plain,
    ( spl0_3
  <=> hskp62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f322,plain,
    ( spl0_2
  <=> hskp63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f69,axiom,
    ( hskp63
    | hskp62
    | hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f1602,plain,
    ( spl0_191
    | spl0_32
    | spl0_47 ),
    inference(avatar_split_clause,[],[f67,f547,f472,f1267]) ).

fof(f1267,plain,
    ( spl0_191
  <=> hskp39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f472,plain,
    ( spl0_32
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f547,plain,
    ( spl0_47
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f67,axiom,
    ( hskp18
    | hskp17
    | hskp39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f1600,plain,
    ( spl0_257
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f114,f1527,f1597]) ).

fof(f114,axiom,
    ( ~ hskp43
    | c2_1(a1049) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f1595,plain,
    ( spl0_256
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f135,f1532,f1592]) ).

fof(f135,axiom,
    ( ~ hskp33
    | c2_1(a1031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f1585,plain,
    ( spl0_254
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f115,f1527,f1582]) ).

fof(f115,axiom,
    ( ~ hskp43
    | c1_1(a1049) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f1575,plain,
    ( spl0_252
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f113,f1527,f1572]) ).

fof(f113,axiom,
    ( ~ hskp43
    | c0_1(a1049) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f1560,plain,
    ( spl0_249
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f134,f1532,f1557]) ).

fof(f134,axiom,
    ( ~ hskp33
    | c3_1(a1031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f1550,plain,
    ( ~ spl0_247
    | ~ spl0_244 ),
    inference(avatar_split_clause,[],[f202,f1532,f1547]) ).

fof(f202,axiom,
    ( ~ hskp33
    | ~ c1_1(a1031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f1530,plain,
    ( spl0_1
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f21,f1527,f318]) ).

fof(f21,axiom,
    ( ~ hskp43
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

fof(f1515,plain,
    ( spl0_240
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f122,f1267,f1512]) ).

fof(f122,axiom,
    ( ~ hskp39
    | c2_1(a1042) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f1510,plain,
    ( spl0_239
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f125,f1262,f1507]) ).

fof(f125,axiom,
    ( ~ hskp38
    | c2_1(a1040) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f1505,plain,
    ( spl0_238
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f102,f1282,f1502]) ).

fof(f102,axiom,
    ( ~ hskp48
    | c2_1(a1062) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f1500,plain,
    ( spl0_237
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f104,f1277,f1497]) ).

fof(f104,axiom,
    ( ~ hskp47
    | c2_1(a1056) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f1495,plain,
    ( spl0_236
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f96,f1287,f1492]) ).

fof(f96,axiom,
    ( ~ hskp51
    | c2_1(a1070) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f1490,plain,
    ( spl0_235
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f123,f1262,f1487]) ).

fof(f123,axiom,
    ( ~ hskp38
    | c1_1(a1040) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f1485,plain,
    ( spl0_234
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f105,f1277,f1482]) ).

fof(f105,axiom,
    ( ~ hskp47
    | c1_1(a1056) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f1480,plain,
    ( spl0_233
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f164,f1307,f1477]) ).

fof(f164,axiom,
    ( ~ hskp10
    | c1_1(a1039) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f1465,plain,
    ( spl0_230
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f130,f1257,f1462]) ).

fof(f130,axiom,
    ( ~ hskp35
    | c0_1(a1033) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f1460,plain,
    ( spl0_229
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f117,f1272,f1457]) ).

fof(f117,axiom,
    ( ~ hskp42
    | c0_1(a1046) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f1455,plain,
    ( spl0_228
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f162,f1242,f1452]) ).

fof(f162,axiom,
    ( ~ hskp12
    | c0_1(a1043) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f1450,plain,
    ( spl0_227
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f121,f1267,f1447]) ).

fof(f121,axiom,
    ( ~ hskp39
    | c0_1(a1042) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f1445,plain,
    ( spl0_226
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f97,f1287,f1442]) ).

fof(f97,axiom,
    ( ~ hskp51
    | c0_1(a1070) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f1435,plain,
    ( spl0_224
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f103,f1282,f1432]) ).

fof(f103,axiom,
    ( ~ hskp48
    | c0_1(a1062) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f1430,plain,
    ( spl0_223
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f84,f1292,f1427]) ).

fof(f84,axiom,
    ( ~ hskp56
    | c0_1(a1084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f1425,plain,
    ( spl0_222
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f106,f1277,f1422]) ).

fof(f106,axiom,
    ( ~ hskp47
    | c3_1(a1056) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f1420,plain,
    ( spl0_221
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f124,f1262,f1417]) ).

fof(f124,axiom,
    ( ~ hskp38
    | c3_1(a1040) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f1410,plain,
    ( spl0_219
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f132,f1257,f1407]) ).

fof(f132,axiom,
    ( ~ hskp35
    | c3_1(a1033) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f1405,plain,
    ( spl0_218
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f101,f1282,f1402]) ).

fof(f101,axiom,
    ( ~ hskp48
    | c3_1(a1062) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f1400,plain,
    ( ~ spl0_217
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f193,f1272,f1397]) ).

fof(f193,axiom,
    ( ~ hskp42
    | ~ c2_1(a1046) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f1385,plain,
    ( ~ spl0_214
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f241,f1307,f1382]) ).

fof(f241,axiom,
    ( ~ hskp10
    | ~ c2_1(a1039) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause241) ).

fof(f1380,plain,
    ( ~ spl0_213
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f235,f1247,f1377]) ).

fof(f235,axiom,
    ( ~ hskp14
    | ~ c2_1(a1055) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause235) ).

fof(f1375,plain,
    ( ~ spl0_212
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f197,f1267,f1372]) ).

fof(f197,axiom,
    ( ~ hskp39
    | ~ c1_1(a1042) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f1365,plain,
    ( ~ spl0_210
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f234,f1247,f1362]) ).

fof(f234,axiom,
    ( ~ hskp14
    | ~ c1_1(a1055) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause234) ).

fof(f1360,plain,
    ( ~ spl0_209
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f184,f1292,f1357]) ).

fof(f184,axiom,
    ( ~ hskp56
    | ~ c1_1(a1084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f1350,plain,
    ( ~ spl0_207
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f237,f1242,f1347]) ).

fof(f237,axiom,
    ( ~ hskp12
    | ~ c1_1(a1043) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause237) ).

fof(f1340,plain,
    ( ~ spl0_205
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f186,f1287,f1337]) ).

fof(f186,axiom,
    ( ~ hskp51
    | ~ c1_1(a1070) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f1335,plain,
    ( ~ spl0_204
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f242,f1307,f1332]) ).

fof(f242,axiom,
    ( ~ hskp10
    | ~ c0_1(a1039) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause242) ).

fof(f1330,plain,
    ( ~ spl0_203
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f233,f1247,f1327]) ).

fof(f233,axiom,
    ( ~ hskp14
    | ~ c0_1(a1055) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause233) ).

fof(f1320,plain,
    ( ~ spl0_201
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f238,f1242,f1317]) ).

fof(f238,axiom,
    ( ~ hskp12
    | ~ c3_1(a1043) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause238) ).

fof(f1315,plain,
    ( ~ spl0_200
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f183,f1292,f1312]) ).

fof(f183,axiom,
    ( ~ hskp56
    | ~ c3_1(a1084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f1235,plain,
    ( spl0_184
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f72,f327,f1232]) ).

fof(f72,axiom,
    ( ~ hskp62
    | c2_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f1230,plain,
    ( spl0_183
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f150,f527,f1227]) ).

fof(f150,axiom,
    ( ~ hskp22
    | c2_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f1215,plain,
    ( spl0_180
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f79,f347,f1212]) ).

fof(f79,axiom,
    ( ~ hskp58
    | c2_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f1210,plain,
    ( spl0_179
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f81,f352,f1207]) ).

fof(f81,axiom,
    ( ~ hskp57
    | c2_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f1200,plain,
    ( spl0_177
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f159,f462,f1197]) ).

fof(f159,axiom,
    ( ~ hskp15
    | c2_1(a1059) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f1170,plain,
    ( spl0_171
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f153,f547,f1167]) ).

fof(f153,axiom,
    ( ~ hskp18
    | c2_1(a1078) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f1155,plain,
    ( spl0_168
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f91,f372,f1152]) ).

fof(f91,axiom,
    ( ~ hskp53
    | c2_1(a1073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f1150,plain,
    ( spl0_167
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f74,f327,f1147]) ).

fof(f74,axiom,
    ( ~ hskp62
    | c1_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f1125,plain,
    ( spl0_162
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f152,f542,f1122]) ).

fof(f152,axiom,
    ( ~ hskp19
    | c1_1(a1079) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f1105,plain,
    ( spl0_158
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f148,f522,f1102]) ).

fof(f148,axiom,
    ( ~ hskp23
    | c1_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f1095,plain,
    ( spl0_156
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f70,f322,f1092]) ).

fof(f70,axiom,
    ( ~ hskp63
    | c1_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f1075,plain,
    ( spl0_152
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f90,f372,f1072]) ).

fof(f90,axiom,
    ( ~ hskp53
    | c1_1(a1073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f1060,plain,
    ( spl0_149
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f160,f457,f1057]) ).

fof(f160,axiom,
    ( ~ hskp13
    | c0_1(a1048) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f1035,plain,
    ( spl0_144
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f166,f427,f1032]) ).

fof(f166,axiom,
    ( ~ hskp8
    | c0_1(a1036) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f1030,plain,
    ( spl0_143
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f92,f372,f1027]) ).

fof(f92,axiom,
    ( ~ hskp53
    | c0_1(a1073) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f1020,plain,
    ( spl0_141
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f107,f407,f1017]) ).

fof(f107,axiom,
    ( ~ hskp46
    | c0_1(a1053) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f1015,plain,
    ( spl0_140
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f88,f367,f1012]) ).

fof(f88,axiom,
    ( ~ hskp54
    | c0_1(a1074) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f995,plain,
    ( spl0_136
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f82,f352,f992]) ).

fof(f82,axiom,
    ( ~ hskp57
    | c0_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f990,plain,
    ( spl0_135
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f154,f547,f987]) ).

fof(f154,axiom,
    ( ~ hskp18
    | c0_1(a1078) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f985,plain,
    ( spl0_134
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f126,f452,f982]) ).

fof(f126,axiom,
    ( ~ hskp37
    | c0_1(a1037) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f980,plain,
    ( spl0_133
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f158,f462,f977]) ).

fof(f158,axiom,
    ( ~ hskp15
    | c3_1(a1059) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f960,plain,
    ( spl0_129
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f149,f522,f957]) ).

fof(f149,axiom,
    ( ~ hskp23
    | c3_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f955,plain,
    ( spl0_128
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f127,f452,f952]) ).

fof(f127,axiom,
    ( ~ hskp37
    | c3_1(a1037) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f950,plain,
    ( spl0_127
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f151,f527,f947]) ).

fof(f151,axiom,
    ( ~ hskp22
    | c3_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f945,plain,
    ( spl0_126
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f155,f472,f942]) ).

fof(f155,axiom,
    ( ~ hskp17
    | c3_1(a1077) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f940,plain,
    ( spl0_125
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f161,f457,f937]) ).

fof(f161,axiom,
    ( ~ hskp13
    | c3_1(a1048) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f925,plain,
    ( spl0_122
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f71,f322,f922]) ).

fof(f71,axiom,
    ( ~ hskp63
    | c3_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f920,plain,
    ( spl0_121
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f73,f327,f917]) ).

fof(f73,axiom,
    ( ~ hskp62
    | c3_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f910,plain,
    ( spl0_119
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f83,f352,f907]) ).

fof(f83,axiom,
    ( ~ hskp57
    | c3_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f905,plain,
    ( spl0_118
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f80,f347,f902]) ).

fof(f80,axiom,
    ( ~ hskp58
    | c3_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f885,plain,
    ( spl0_114
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f87,f367,f882]) ).

fof(f87,axiom,
    ( ~ hskp54
    | c3_1(a1074) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f865,plain,
    ( ~ spl0_110
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f227,f542,f862]) ).

fof(f227,axiom,
    ( ~ hskp19
    | ~ c2_1(a1079) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause227) ).

fof(f860,plain,
    ( ~ spl0_109
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f191,f407,f857]) ).

fof(f191,axiom,
    ( ~ hskp46
    | ~ c2_1(a1053) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f850,plain,
    ( ~ spl0_107
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f224,f537,f847]) ).

fof(f224,axiom,
    ( ~ hskp20
    | ~ c2_1(a1080) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause224) ).

fof(f845,plain,
    ( ~ spl0_106
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f218,f522,f842]) ).

fof(f218,axiom,
    ( ~ hskp23
    | ~ c2_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause218) ).

fof(f840,plain,
    ( ~ spl0_105
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f215,f512,f837]) ).

fof(f215,axiom,
    ( ~ hskp25
    | ~ c2_1(a1091) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause215) ).

fof(f835,plain,
    ( ~ spl0_104
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f176,f322,f832]) ).

fof(f176,axiom,
    ( ~ hskp63
    | ~ c2_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f820,plain,
    ( ~ spl0_101
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f230,f472,f817]) ).

fof(f230,axiom,
    ( ~ hskp17
    | ~ c2_1(a1077) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause230) ).

fof(f775,plain,
    ( ~ spl0_92
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f246,f427,f772]) ).

fof(f246,axiom,
    ( ~ hskp8
    | ~ c1_1(a1036) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause246) ).

fof(f770,plain,
    ( ~ spl0_91
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f228,f547,f767]) ).

fof(f228,axiom,
    ( ~ hskp18
    | ~ c1_1(a1078) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause228) ).

fof(f760,plain,
    ( ~ spl0_89
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f225,f537,f757]) ).

fof(f225,axiom,
    ( ~ hskp20
    | ~ c1_1(a1080) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause225) ).

fof(f730,plain,
    ( ~ spl0_83
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f190,f407,f727]) ).

fof(f190,axiom,
    ( ~ hskp46
    | ~ c1_1(a1053) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f725,plain,
    ( ~ spl0_82
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f219,f527,f722]) ).

fof(f219,axiom,
    ( ~ hskp22
    | ~ c1_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause219) ).

fof(f720,plain,
    ( ~ spl0_81
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f232,f462,f717]) ).

fof(f232,axiom,
    ( ~ hskp15
    | ~ c1_1(a1059) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause232) ).

fof(f695,plain,
    ( ~ spl0_76
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f223,f537,f692]) ).

fof(f223,axiom,
    ( ~ hskp20
    | ~ c0_1(a1080) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause223) ).

fof(f670,plain,
    ( ~ spl0_71
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f226,f542,f667]) ).

fof(f226,axiom,
    ( ~ hskp19
    | ~ c0_1(a1079) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause226) ).

fof(f660,plain,
    ( ~ spl0_69
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f214,f512,f657]) ).

fof(f214,axiom,
    ( ~ hskp25
    | ~ c0_1(a1091) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause214) ).

fof(f655,plain,
    ( ~ spl0_68
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f229,f472,f652]) ).

fof(f229,axiom,
    ( ~ hskp17
    | ~ c0_1(a1077) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause229) ).

fof(f565,plain,
    ( ~ spl0_50
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f213,f512,f562]) ).

fof(f213,axiom,
    ( ~ hskp25
    | ~ c3_1(a1091) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause213) ).

fof(f555,plain,
    ( ~ spl0_48
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f245,f427,f552]) ).

fof(f245,axiom,
    ( ~ hskp8
    | ~ c3_1(a1036) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause245) ).

fof(f505,plain,
    ( spl0_1
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f37,f502,f318]) ).

fof(f37,axiom,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f500,plain,
    ( spl0_1
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f36,f497,f318]) ).

fof(f36,axiom,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN447-1 : TPTP v8.1.2. Released v2.1.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n018.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 17:10:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (3158)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (3159)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (3161)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)
% 0.15/0.37  % (3163)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (3165)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)
% 0.15/0.37  % (3162)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [64]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  % (3160)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  TRYING [3]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [64]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [64]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [64]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  % (3164)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.40  TRYING [5]
% 0.21/0.40  TRYING [4]
% 0.21/0.41  TRYING [5]
% 0.21/0.41  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.45  TRYING [6]
% 0.21/0.46  % (3164)First to succeed.
% 0.21/0.46  TRYING [6]
% 0.21/0.47  % (3164)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3158"
% 0.21/0.47  % (3164)Refutation found. Thanks to Tanya!
% 0.21/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47  % (3164)------------------------------
% 0.21/0.47  % (3164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.47  % (3164)Termination reason: Refutation
% 0.21/0.47  
% 0.21/0.47  % (3164)Memory used [KB]: 2590
% 0.21/0.47  % (3164)Time elapsed: 0.097 s
% 0.21/0.47  % (3164)Instructions burned: 130 (million)
% 0.21/0.47  % (3158)Success in time 0.119 s
%------------------------------------------------------------------------------