TSTP Solution File: SYN440-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN440-1 : 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 : n032.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 12:10:17 EDT 2024

% Result   : Unsatisfiable 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  352
% Syntax   : Number of formulae    :  909 (   1 unt;   0 def)
%            Number of atoms       : 2828 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3457 (1538   ~;1723   |;   0   &)
%                                         ( 196 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  244 ( 243 usr; 240 prp; 0-1 aty)
%            Number of functors    :   41 (  41 usr;  41 con; 0-0 aty)
%            Number of variables   :  143 ( 143   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5696,plain,
    $false,
    inference(avatar_sat_refutation,[],[f617,f682,f692,f717,f722,f732,f747,f752,f757,f767,f772,f782,f787,f802,f812,f817,f842,f852,f857,f862,f872,f877,f882,f897,f917,f922,f927,f942,f947,f952,f962,f967,f972,f977,f987,f1002,f1007,f1012,f1017,f1022,f1047,f1057,f1062,f1067,f1072,f1077,f1082,f1087,f1092,f1097,f1102,f1107,f1122,f1127,f1132,f1137,f1142,f1147,f1157,f1162,f1167,f1177,f1182,f1197,f1207,f1212,f1217,f1227,f1232,f1237,f1242,f1247,f1252,f1257,f1272,f1292,f1307,f1312,f1317,f1322,f1337,f1342,f1352,f1357,f1367,f1372,f1397,f1412,f1447,f1467,f1472,f1477,f1502,f1507,f1517,f1522,f1527,f1532,f1542,f1547,f1552,f1557,f1562,f1567,f1577,f1582,f1607,f1612,f1622,f1632,f1637,f1647,f1652,f1657,f1662,f1667,f1672,f1674,f1677,f1678,f1680,f1684,f1688,f1696,f1700,f1708,f1712,f1721,f1726,f1731,f1736,f1740,f1744,f1745,f1749,f1753,f1754,f1755,f1762,f1763,f1767,f1772,f1774,f1778,f1786,f1793,f1794,f1795,f1796,f1798,f1802,f1803,f1804,f1809,f1813,f1815,f1837,f1845,f1875,f1882,f1895,f1941,f1944,f1950,f1969,f1973,f1980,f2054,f2118,f2128,f2172,f2175,f2183,f2213,f2215,f2344,f2350,f2374,f2396,f2407,f2443,f2449,f2456,f2513,f2565,f2661,f2693,f2697,f2862,f2907,f2922,f2950,f2954,f3027,f3373,f3419,f3510,f3582,f3606,f3607,f3828,f3835,f3912,f3963,f4020,f4107,f4261,f4262,f4287,f4298,f4325,f4335,f4361,f4366,f4458,f4512,f4521,f4524,f4527,f4533,f4615,f4622,f4637,f4702,f4710,f4766,f4951,f5023,f5077,f5084,f5093,f5329,f5331,f5349,f5428,f5451,f5536,f5548,f5612,f5619,f5679]) ).

fof(f5679,plain,
    ( ~ spl0_247
    | ~ spl0_257
    | ~ spl0_274
    | ~ spl0_296 ),
    inference(avatar_contradiction_clause,[],[f5678]) ).

fof(f5678,plain,
    ( $false
    | ~ spl0_247
    | ~ spl0_257
    | ~ spl0_274
    | ~ spl0_296 ),
    inference(subsumption_resolution,[],[f5652,f1611]) ).

fof(f1611,plain,
    ( c0_1(a614)
    | ~ spl0_257 ),
    inference(avatar_component_clause,[],[f1609]) ).

fof(f1609,plain,
    ( spl0_257
  <=> c0_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f5652,plain,
    ( ~ c0_1(a614)
    | ~ spl0_247
    | ~ spl0_274
    | ~ spl0_296 ),
    inference(resolution,[],[f5553,f1561]) ).

fof(f1561,plain,
    ( c2_1(a614)
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f1559]) ).

fof(f1559,plain,
    ( spl0_247
  <=> c2_1(a614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f5553,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_274
    | ~ spl0_296 ),
    inference(subsumption_resolution,[],[f1808,f1699]) ).

fof(f1699,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_274 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f1698,plain,
    ( spl0_274
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f1808,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) )
    | ~ spl0_296 ),
    inference(avatar_component_clause,[],[f1807]) ).

fof(f1807,plain,
    ( spl0_296
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f5619,plain,
    ( ~ spl0_168
    | ~ spl0_274
    | ~ spl0_282
    | ~ spl0_290
    | ~ spl0_296 ),
    inference(avatar_contradiction_clause,[],[f5600]) ).

fof(f5600,plain,
    ( $false
    | ~ spl0_168
    | ~ spl0_274
    | ~ spl0_282
    | ~ spl0_290
    | ~ spl0_296 ),
    inference(resolution,[],[f5588,f1166]) ).

fof(f1166,plain,
    ( c2_1(a602)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1164,plain,
    ( spl0_168
  <=> c2_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f5588,plain,
    ( ! [X2] : ~ c2_1(X2)
    | ~ spl0_274
    | ~ spl0_282
    | ~ spl0_290
    | ~ spl0_296 ),
    inference(subsumption_resolution,[],[f5553,f5457]) ).

fof(f5457,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_282
    | ~ spl0_290 ),
    inference(subsumption_resolution,[],[f1771,f1735]) ).

fof(f1735,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_282 ),
    inference(avatar_component_clause,[],[f1734]) ).

fof(f1734,plain,
    ( spl0_282
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f1771,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_290 ),
    inference(avatar_component_clause,[],[f1770]) ).

fof(f1770,plain,
    ( spl0_290
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f5612,plain,
    ( ~ spl0_267
    | ~ spl0_274
    | ~ spl0_282
    | ~ spl0_290
    | ~ spl0_296 ),
    inference(avatar_contradiction_clause,[],[f5607]) ).

fof(f5607,plain,
    ( $false
    | ~ spl0_267
    | ~ spl0_274
    | ~ spl0_282
    | ~ spl0_290
    | ~ spl0_296 ),
    inference(resolution,[],[f5588,f1661]) ).

fof(f1661,plain,
    ( c2_1(a613)
    | ~ spl0_267 ),
    inference(avatar_component_clause,[],[f1659]) ).

fof(f1659,plain,
    ( spl0_267
  <=> c2_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f5548,plain,
    ( spl0_264
    | ~ spl0_267
    | ~ spl0_282
    | ~ spl0_294 ),
    inference(avatar_contradiction_clause,[],[f5547]) ).

fof(f5547,plain,
    ( $false
    | spl0_264
    | ~ spl0_267
    | ~ spl0_282
    | ~ spl0_294 ),
    inference(subsumption_resolution,[],[f5520,f1646]) ).

fof(f1646,plain,
    ( ~ c3_1(a613)
    | spl0_264 ),
    inference(avatar_component_clause,[],[f1644]) ).

fof(f1644,plain,
    ( spl0_264
  <=> c3_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f5520,plain,
    ( c3_1(a613)
    | ~ spl0_267
    | ~ spl0_282
    | ~ spl0_294 ),
    inference(resolution,[],[f5456,f1661]) ).

fof(f5456,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_282
    | ~ spl0_294 ),
    inference(subsumption_resolution,[],[f1790,f1735]) ).

fof(f1790,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_294 ),
    inference(avatar_component_clause,[],[f1789]) ).

fof(f1789,plain,
    ( spl0_294
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f5536,plain,
    ( spl0_71
    | ~ spl0_168
    | ~ spl0_282
    | ~ spl0_294 ),
    inference(avatar_contradiction_clause,[],[f5535]) ).

fof(f5535,plain,
    ( $false
    | spl0_71
    | ~ spl0_168
    | ~ spl0_282
    | ~ spl0_294 ),
    inference(subsumption_resolution,[],[f5513,f681]) ).

fof(f681,plain,
    ( ~ c3_1(a602)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_71
  <=> c3_1(a602) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f5513,plain,
    ( c3_1(a602)
    | ~ spl0_168
    | ~ spl0_282
    | ~ spl0_294 ),
    inference(resolution,[],[f5456,f1166]) ).

fof(f5451,plain,
    ( ~ spl0_244
    | spl0_241
    | ~ spl0_248
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f5385,f1686,f1564,f1529,f1544]) ).

fof(f1544,plain,
    ( spl0_244
  <=> c3_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f1529,plain,
    ( spl0_241
  <=> c1_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f1564,plain,
    ( spl0_248
  <=> c2_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f1686,plain,
    ( spl0_271
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f5385,plain,
    ( c1_1(a617)
    | ~ c3_1(a617)
    | ~ spl0_248
    | ~ spl0_271 ),
    inference(resolution,[],[f1687,f1566]) ).

fof(f1566,plain,
    ( c2_1(a617)
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f1564]) ).

fof(f1687,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f1686]) ).

fof(f5428,plain,
    ( spl0_92
    | ~ spl0_148
    | ~ spl0_272
    | ~ spl0_302 ),
    inference(avatar_contradiction_clause,[],[f5427]) ).

fof(f5427,plain,
    ( $false
    | spl0_92
    | ~ spl0_148
    | ~ spl0_272
    | ~ spl0_302 ),
    inference(subsumption_resolution,[],[f5426,f2032]) ).

fof(f2032,plain,
    ( c1_1(a672)
    | ~ spl0_302 ),
    inference(avatar_component_clause,[],[f2030]) ).

fof(f2030,plain,
    ( spl0_302
  <=> c1_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f5426,plain,
    ( ~ c1_1(a672)
    | spl0_92
    | ~ spl0_148
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f5397,f1066]) ).

fof(f1066,plain,
    ( c3_1(a672)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1064,plain,
    ( spl0_148
  <=> c3_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f5397,plain,
    ( ~ c3_1(a672)
    | ~ c1_1(a672)
    | spl0_92
    | ~ spl0_272 ),
    inference(resolution,[],[f1691,f786]) ).

fof(f786,plain,
    ( ~ c2_1(a672)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl0_92
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1691,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_272 ),
    inference(avatar_component_clause,[],[f1690]) ).

fof(f1690,plain,
    ( spl0_272
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f5349,plain,
    ( ~ spl0_147
    | ~ spl0_208
    | ~ spl0_272
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(avatar_contradiction_clause,[],[f5348]) ).

fof(f5348,plain,
    ( $false
    | ~ spl0_147
    | ~ spl0_208
    | ~ spl0_272
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(subsumption_resolution,[],[f5333,f1366]) ).

fof(f1366,plain,
    ( c1_1(a673)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1364]) ).

fof(f1364,plain,
    ( spl0_208
  <=> c1_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f5333,plain,
    ( ~ c1_1(a673)
    | ~ spl0_147
    | ~ spl0_272
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(resolution,[],[f5332,f1061]) ).

fof(f1061,plain,
    ( c3_1(a673)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f1059,plain,
    ( spl0_147
  <=> c3_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f5332,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_272
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(subsumption_resolution,[],[f1691,f5095]) ).

fof(f5095,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(subsumption_resolution,[],[f1771,f1748]) ).

fof(f1748,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_285 ),
    inference(avatar_component_clause,[],[f1747]) ).

fof(f1747,plain,
    ( spl0_285
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f5331,plain,
    ( ~ spl0_312
    | ~ spl0_182
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f5327,f1770,f1747,f1234,f2410]) ).

fof(f2410,plain,
    ( spl0_312
  <=> c3_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f1234,plain,
    ( spl0_182
  <=> c2_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f5327,plain,
    ( ~ c3_1(a609)
    | ~ spl0_182
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(resolution,[],[f5095,f1236]) ).

fof(f1236,plain,
    ( c2_1(a609)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f5329,plain,
    ( ~ spl0_317
    | ~ spl0_180
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f5315,f1770,f1747,f1224,f2690]) ).

fof(f2690,plain,
    ( spl0_317
  <=> c3_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f1224,plain,
    ( spl0_180
  <=> c2_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f5315,plain,
    ( ~ c3_1(a670)
    | ~ spl0_180
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(resolution,[],[f5095,f1226]) ).

fof(f1226,plain,
    ( c2_1(a670)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1224]) ).

fof(f5093,plain,
    ( spl0_317
    | spl0_105
    | ~ spl0_180
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f4966,f1734,f1224,f849,f2690]) ).

fof(f849,plain,
    ( spl0_105
  <=> c0_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f4966,plain,
    ( c0_1(a670)
    | c3_1(a670)
    | ~ spl0_180
    | ~ spl0_282 ),
    inference(resolution,[],[f1735,f1226]) ).

fof(f5084,plain,
    ( spl0_312
    | spl0_98
    | ~ spl0_182
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f4981,f1734,f1234,f814,f2410]) ).

fof(f814,plain,
    ( spl0_98
  <=> c0_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f4981,plain,
    ( c0_1(a609)
    | c3_1(a609)
    | ~ spl0_182
    | ~ spl0_282 ),
    inference(resolution,[],[f1735,f1236]) ).

fof(f5077,plain,
    ( ~ spl0_245
    | ~ spl0_251
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f4752,f1747,f1724,f1579,f1549]) ).

fof(f1549,plain,
    ( spl0_245
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f1579,plain,
    ( spl0_251
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f1724,plain,
    ( spl0_280
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f4752,plain,
    ( ~ c3_1(a599)
    | ~ spl0_251
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(resolution,[],[f4727,f1581]) ).

fof(f1581,plain,
    ( c0_1(a599)
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f1579]) ).

fof(f4727,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(subsumption_resolution,[],[f1725,f1748]) ).

fof(f1725,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f1724]) ).

fof(f5023,plain,
    ( spl0_291
    | ~ spl0_280
    | ~ spl0_285
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f4987,f1784,f1747,f1724,f1776]) ).

fof(f1776,plain,
    ( spl0_291
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f1784,plain,
    ( spl0_293
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f4987,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_280
    | ~ spl0_285
    | ~ spl0_293 ),
    inference(resolution,[],[f1785,f4727]) ).

fof(f1785,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_293 ),
    inference(avatar_component_clause,[],[f1784]) ).

fof(f4951,plain,
    ( ~ spl0_315
    | spl0_238
    | ~ spl0_251
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f4814,f1706,f1579,f1514,f2466]) ).

fof(f2466,plain,
    ( spl0_315
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f1514,plain,
    ( spl0_238
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f1706,plain,
    ( spl0_276
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f4814,plain,
    ( c2_1(a599)
    | ~ c1_1(a599)
    | ~ spl0_251
    | ~ spl0_276 ),
    inference(resolution,[],[f1707,f1581]) ).

fof(f1707,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_276 ),
    inference(avatar_component_clause,[],[f1706]) ).

fof(f4766,plain,
    ( ~ spl0_161
    | ~ spl0_185
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(avatar_contradiction_clause,[],[f4765]) ).

fof(f4765,plain,
    ( $false
    | ~ spl0_161
    | ~ spl0_185
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(subsumption_resolution,[],[f4749,f1131]) ).

fof(f1131,plain,
    ( c3_1(a608)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1129,plain,
    ( spl0_161
  <=> c3_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f4749,plain,
    ( ~ c3_1(a608)
    | ~ spl0_185
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(resolution,[],[f4727,f1251]) ).

fof(f1251,plain,
    ( c0_1(a608)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1249]) ).

fof(f1249,plain,
    ( spl0_185
  <=> c0_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f4710,plain,
    ( ~ spl0_244
    | ~ spl0_248
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(avatar_contradiction_clause,[],[f4709]) ).

fof(f4709,plain,
    ( $false
    | ~ spl0_244
    | ~ spl0_248
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(subsumption_resolution,[],[f4676,f1546]) ).

fof(f1546,plain,
    ( c3_1(a617)
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f4676,plain,
    ( ~ c3_1(a617)
    | ~ spl0_248
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(resolution,[],[f4623,f1566]) ).

fof(f4623,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(subsumption_resolution,[],[f1771,f1748]) ).

fof(f4702,plain,
    ( ~ spl0_167
    | ~ spl0_174
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(avatar_contradiction_clause,[],[f4701]) ).

fof(f4701,plain,
    ( $false
    | ~ spl0_167
    | ~ spl0_174
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(subsumption_resolution,[],[f4672,f1161]) ).

fof(f1161,plain,
    ( c3_1(a651)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1159,plain,
    ( spl0_167
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f4672,plain,
    ( ~ c3_1(a651)
    | ~ spl0_174
    | ~ spl0_285
    | ~ spl0_290 ),
    inference(resolution,[],[f4623,f1196]) ).

fof(f1196,plain,
    ( c2_1(a651)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f1194,plain,
    ( spl0_174
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f4637,plain,
    ( spl0_333
    | spl0_230
    | spl0_240
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f4636,f1760,f1524,f1474,f4619]) ).

fof(f4619,plain,
    ( spl0_333
  <=> c1_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f1474,plain,
    ( spl0_230
  <=> c3_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f1524,plain,
    ( spl0_240
  <=> c0_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f1760,plain,
    ( spl0_288
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f4636,plain,
    ( c1_1(a606)
    | spl0_230
    | spl0_240
    | ~ spl0_288 ),
    inference(subsumption_resolution,[],[f4635,f1476]) ).

fof(f1476,plain,
    ( ~ c3_1(a606)
    | spl0_230 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f4635,plain,
    ( c1_1(a606)
    | c3_1(a606)
    | spl0_240
    | ~ spl0_288 ),
    inference(resolution,[],[f1526,f1761]) ).

fof(f1761,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f1526,plain,
    ( ~ c0_1(a606)
    | spl0_240 ),
    inference(avatar_component_clause,[],[f1524]) ).

fof(f4622,plain,
    ( ~ spl0_333
    | spl0_240
    | ~ spl0_250
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f4455,f1702,f1574,f1524,f4619]) ).

fof(f1574,plain,
    ( spl0_250
  <=> c2_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f1702,plain,
    ( spl0_275
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f4455,plain,
    ( c0_1(a606)
    | ~ c1_1(a606)
    | ~ spl0_250
    | ~ spl0_275 ),
    inference(resolution,[],[f1703,f1576]) ).

fof(f1576,plain,
    ( c2_1(a606)
    | ~ spl0_250 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f1703,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_275 ),
    inference(avatar_component_clause,[],[f1702]) ).

fof(f4615,plain,
    ( spl0_73
    | ~ spl0_146
    | ~ spl0_209
    | ~ spl0_276
    | ~ spl0_292 ),
    inference(avatar_contradiction_clause,[],[f4614]) ).

fof(f4614,plain,
    ( $false
    | spl0_73
    | ~ spl0_146
    | ~ spl0_209
    | ~ spl0_276
    | ~ spl0_292 ),
    inference(subsumption_resolution,[],[f4613,f1371]) ).

fof(f1371,plain,
    ( c1_1(a675)
    | ~ spl0_209 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1369,plain,
    ( spl0_209
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f4613,plain,
    ( ~ c1_1(a675)
    | spl0_73
    | ~ spl0_146
    | ~ spl0_209
    | ~ spl0_276
    | ~ spl0_292 ),
    inference(subsumption_resolution,[],[f4609,f691]) ).

fof(f691,plain,
    ( ~ c2_1(a675)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f689,plain,
    ( spl0_73
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f4609,plain,
    ( c2_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_146
    | ~ spl0_209
    | ~ spl0_276
    | ~ spl0_292 ),
    inference(resolution,[],[f3909,f1707]) ).

fof(f3909,plain,
    ( c0_1(a675)
    | ~ spl0_146
    | ~ spl0_209
    | ~ spl0_292 ),
    inference(subsumption_resolution,[],[f3887,f1056]) ).

fof(f1056,plain,
    ( c3_1(a675)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1054]) ).

fof(f1054,plain,
    ( spl0_146
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3887,plain,
    ( c0_1(a675)
    | ~ c3_1(a675)
    | ~ spl0_209
    | ~ spl0_292 ),
    inference(resolution,[],[f1781,f1371]) ).

fof(f1781,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_292 ),
    inference(avatar_component_clause,[],[f1780]) ).

fof(f1780,plain,
    ( spl0_292
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f4533,plain,
    ( spl0_86
    | spl0_136
    | ~ spl0_291
    | ~ spl0_314 ),
    inference(avatar_contradiction_clause,[],[f4532]) ).

fof(f4532,plain,
    ( $false
    | spl0_86
    | spl0_136
    | ~ spl0_291
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f4531,f2442]) ).

fof(f2442,plain,
    ( c3_1(a625)
    | ~ spl0_314 ),
    inference(avatar_component_clause,[],[f2440]) ).

fof(f2440,plain,
    ( spl0_314
  <=> c3_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f4531,plain,
    ( ~ c3_1(a625)
    | spl0_86
    | spl0_136
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f4506,f1006]) ).

fof(f1006,plain,
    ( ~ c1_1(a625)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1004,plain,
    ( spl0_136
  <=> c1_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f4506,plain,
    ( c1_1(a625)
    | ~ c3_1(a625)
    | spl0_86
    | ~ spl0_291 ),
    inference(resolution,[],[f1777,f756]) ).

fof(f756,plain,
    ( ~ c2_1(a625)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f754,plain,
    ( spl0_86
  <=> c2_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1777,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_291 ),
    inference(avatar_component_clause,[],[f1776]) ).

fof(f4527,plain,
    ( spl0_81
    | spl0_144
    | ~ spl0_163
    | ~ spl0_291 ),
    inference(avatar_contradiction_clause,[],[f4526]) ).

fof(f4526,plain,
    ( $false
    | spl0_81
    | spl0_144
    | ~ spl0_163
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f4525,f1141]) ).

fof(f1141,plain,
    ( c3_1(a612)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1139]) ).

fof(f1139,plain,
    ( spl0_163
  <=> c3_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f4525,plain,
    ( ~ c3_1(a612)
    | spl0_81
    | spl0_144
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f4502,f1046]) ).

fof(f1046,plain,
    ( ~ c1_1(a612)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1044]) ).

fof(f1044,plain,
    ( spl0_144
  <=> c1_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f4502,plain,
    ( c1_1(a612)
    | ~ c3_1(a612)
    | spl0_81
    | ~ spl0_291 ),
    inference(resolution,[],[f1777,f731]) ).

fof(f731,plain,
    ( ~ c2_1(a612)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f729,plain,
    ( spl0_81
  <=> c2_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f4524,plain,
    ( spl0_78
    | spl0_135
    | ~ spl0_156
    | ~ spl0_291 ),
    inference(avatar_contradiction_clause,[],[f4523]) ).

fof(f4523,plain,
    ( $false
    | spl0_78
    | spl0_135
    | ~ spl0_156
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f4522,f1106]) ).

fof(f1106,plain,
    ( c3_1(a624)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1104]) ).

fof(f1104,plain,
    ( spl0_156
  <=> c3_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f4522,plain,
    ( ~ c3_1(a624)
    | spl0_78
    | spl0_135
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f4500,f1001]) ).

fof(f1001,plain,
    ( ~ c1_1(a624)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f999,plain,
    ( spl0_135
  <=> c1_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f4500,plain,
    ( c1_1(a624)
    | ~ c3_1(a624)
    | spl0_78
    | ~ spl0_291 ),
    inference(resolution,[],[f1777,f716]) ).

fof(f716,plain,
    ( ~ c2_1(a624)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f714,plain,
    ( spl0_78
  <=> c2_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f4521,plain,
    ( spl0_236
    | spl0_243
    | ~ spl0_246
    | ~ spl0_291 ),
    inference(avatar_contradiction_clause,[],[f4520]) ).

fof(f4520,plain,
    ( $false
    | spl0_236
    | spl0_243
    | ~ spl0_246
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f4519,f1556]) ).

fof(f1556,plain,
    ( c3_1(a628)
    | ~ spl0_246 ),
    inference(avatar_component_clause,[],[f1554]) ).

fof(f1554,plain,
    ( spl0_246
  <=> c3_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f4519,plain,
    ( ~ c3_1(a628)
    | spl0_236
    | spl0_243
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f4499,f1541]) ).

fof(f1541,plain,
    ( ~ c1_1(a628)
    | spl0_243 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1539,plain,
    ( spl0_243
  <=> c1_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f4499,plain,
    ( c1_1(a628)
    | ~ c3_1(a628)
    | spl0_236
    | ~ spl0_291 ),
    inference(resolution,[],[f1777,f1506]) ).

fof(f1506,plain,
    ( ~ c2_1(a628)
    | spl0_236 ),
    inference(avatar_component_clause,[],[f1504]) ).

fof(f1504,plain,
    ( spl0_236
  <=> c2_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f4512,plain,
    ( spl0_92
    | ~ spl0_148
    | ~ spl0_291
    | spl0_302 ),
    inference(avatar_contradiction_clause,[],[f4511]) ).

fof(f4511,plain,
    ( $false
    | spl0_92
    | ~ spl0_148
    | ~ spl0_291
    | spl0_302 ),
    inference(subsumption_resolution,[],[f4510,f1066]) ).

fof(f4510,plain,
    ( ~ c3_1(a672)
    | spl0_92
    | ~ spl0_291
    | spl0_302 ),
    inference(subsumption_resolution,[],[f4489,f2031]) ).

fof(f2031,plain,
    ( ~ c1_1(a672)
    | spl0_302 ),
    inference(avatar_component_clause,[],[f2030]) ).

fof(f4489,plain,
    ( c1_1(a672)
    | ~ c3_1(a672)
    | spl0_92
    | ~ spl0_291 ),
    inference(resolution,[],[f1777,f786]) ).

fof(f4458,plain,
    ( ~ spl0_318
    | spl0_114
    | ~ spl0_174
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f4457,f1702,f1194,f894,f2919]) ).

fof(f2919,plain,
    ( spl0_318
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f894,plain,
    ( spl0_114
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f4457,plain,
    ( ~ c1_1(a651)
    | spl0_114
    | ~ spl0_174
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f4439,f896]) ).

fof(f896,plain,
    ( ~ c0_1(a651)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f4439,plain,
    ( c0_1(a651)
    | ~ c1_1(a651)
    | ~ spl0_174
    | ~ spl0_275 ),
    inference(resolution,[],[f1703,f1196]) ).

fof(f4366,plain,
    ( spl0_330
    | spl0_129
    | ~ spl0_199
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f4365,f1742,f1319,f969,f4295]) ).

fof(f4295,plain,
    ( spl0_330
  <=> c2_1(a632) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f969,plain,
    ( spl0_129
  <=> c1_1(a632) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1319,plain,
    ( spl0_199
  <=> c0_1(a632) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f1742,plain,
    ( spl0_284
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f4365,plain,
    ( c2_1(a632)
    | spl0_129
    | ~ spl0_199
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f4351,f971]) ).

fof(f971,plain,
    ( ~ c1_1(a632)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f4351,plain,
    ( c1_1(a632)
    | c2_1(a632)
    | ~ spl0_199
    | ~ spl0_284 ),
    inference(resolution,[],[f1743,f1321]) ).

fof(f1321,plain,
    ( c0_1(a632)
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f1743,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f1742]) ).

fof(f4361,plain,
    ( spl0_279
    | ~ spl0_284
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f4360,f1760,f1742,f1719]) ).

fof(f1719,plain,
    ( spl0_279
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f4360,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_284
    | ~ spl0_288 ),
    inference(duplicate_literal_removal,[],[f4338]) ).

fof(f4338,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_284
    | ~ spl0_288 ),
    inference(resolution,[],[f1743,f1761]) ).

fof(f4335,plain,
    ( spl0_85
    | ~ spl0_214
    | ~ spl0_283
    | spl0_300 ),
    inference(avatar_contradiction_clause,[],[f4334]) ).

fof(f4334,plain,
    ( $false
    | spl0_85
    | ~ spl0_214
    | ~ spl0_283
    | spl0_300 ),
    inference(subsumption_resolution,[],[f4333,f1906]) ).

fof(f1906,plain,
    ( ~ c3_1(a610)
    | spl0_300 ),
    inference(avatar_component_clause,[],[f1904]) ).

fof(f1904,plain,
    ( spl0_300
  <=> c3_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f4333,plain,
    ( c3_1(a610)
    | spl0_85
    | ~ spl0_214
    | ~ spl0_283 ),
    inference(subsumption_resolution,[],[f4320,f751]) ).

fof(f751,plain,
    ( ~ c2_1(a610)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f749,plain,
    ( spl0_85
  <=> c2_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f4320,plain,
    ( c2_1(a610)
    | c3_1(a610)
    | ~ spl0_214
    | ~ spl0_283 ),
    inference(resolution,[],[f1739,f1396]) ).

fof(f1396,plain,
    ( c1_1(a610)
    | ~ spl0_214 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1394,plain,
    ( spl0_214
  <=> c1_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f1739,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_283 ),
    inference(avatar_component_clause,[],[f1738]) ).

fof(f1738,plain,
    ( spl0_283
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f4325,plain,
    ( spl0_229
    | spl0_235
    | ~ spl0_261
    | ~ spl0_283 ),
    inference(avatar_contradiction_clause,[],[f4324]) ).

fof(f4324,plain,
    ( $false
    | spl0_229
    | spl0_235
    | ~ spl0_261
    | ~ spl0_283 ),
    inference(subsumption_resolution,[],[f4323,f1471]) ).

fof(f1471,plain,
    ( ~ c3_1(a618)
    | spl0_229 ),
    inference(avatar_component_clause,[],[f1469]) ).

fof(f1469,plain,
    ( spl0_229
  <=> c3_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f4323,plain,
    ( c3_1(a618)
    | spl0_235
    | ~ spl0_261
    | ~ spl0_283 ),
    inference(subsumption_resolution,[],[f4311,f1501]) ).

fof(f1501,plain,
    ( ~ c2_1(a618)
    | spl0_235 ),
    inference(avatar_component_clause,[],[f1499]) ).

fof(f1499,plain,
    ( spl0_235
  <=> c2_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f4311,plain,
    ( c2_1(a618)
    | c3_1(a618)
    | ~ spl0_261
    | ~ spl0_283 ),
    inference(resolution,[],[f1739,f1631]) ).

fof(f1631,plain,
    ( c1_1(a618)
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f1629,plain,
    ( spl0_261
  <=> c1_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f4298,plain,
    ( ~ spl0_330
    | ~ spl0_152
    | ~ spl0_199
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f3640,f1747,f1319,f1084,f4295]) ).

fof(f1084,plain,
    ( spl0_152
  <=> c3_1(a632) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3640,plain,
    ( ~ c3_1(a632)
    | ~ c2_1(a632)
    | ~ spl0_199
    | ~ spl0_285 ),
    inference(resolution,[],[f1321,f1748]) ).

fof(f4287,plain,
    ( ~ spl0_149
    | ~ spl0_202
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(avatar_contradiction_clause,[],[f4286]) ).

fof(f4286,plain,
    ( $false
    | ~ spl0_149
    | ~ spl0_202
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(subsumption_resolution,[],[f4264,f1071]) ).

fof(f1071,plain,
    ( c3_1(a671)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1069,plain,
    ( spl0_149
  <=> c3_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f4264,plain,
    ( ~ c3_1(a671)
    | ~ spl0_202
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(resolution,[],[f4218,f1336]) ).

fof(f1336,plain,
    ( c0_1(a671)
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f1334,plain,
    ( spl0_202
  <=> c0_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f4218,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_280
    | ~ spl0_285 ),
    inference(subsumption_resolution,[],[f1725,f1748]) ).

fof(f4262,plain,
    ( spl0_314
    | spl0_109
    | ~ spl0_282
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f4252,f1757,f1734,f869,f2440]) ).

fof(f869,plain,
    ( spl0_109
  <=> c0_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1757,plain,
    ( spl0_287
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f4252,plain,
    ( c3_1(a625)
    | spl0_109
    | ~ spl0_282
    | ~ spl0_287 ),
    inference(resolution,[],[f4197,f871]) ).

fof(f871,plain,
    ( ~ c0_1(a625)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f4197,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_282
    | ~ spl0_287 ),
    inference(subsumption_resolution,[],[f1758,f1735]) ).

fof(f1758,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_287 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f4261,plain,
    ( spl0_97
    | ~ spl0_282
    | ~ spl0_287
    | spl0_300 ),
    inference(avatar_contradiction_clause,[],[f4260]) ).

fof(f4260,plain,
    ( $false
    | spl0_97
    | ~ spl0_282
    | ~ spl0_287
    | spl0_300 ),
    inference(subsumption_resolution,[],[f4247,f1906]) ).

fof(f4247,plain,
    ( c3_1(a610)
    | spl0_97
    | ~ spl0_282
    | ~ spl0_287 ),
    inference(resolution,[],[f4197,f811]) ).

fof(f811,plain,
    ( ~ c0_1(a610)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f809,plain,
    ( spl0_97
  <=> c0_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f4107,plain,
    ( spl0_125
    | ~ spl0_177
    | ~ spl0_274
    | ~ spl0_297 ),
    inference(avatar_contradiction_clause,[],[f4106]) ).

fof(f4106,plain,
    ( $false
    | spl0_125
    | ~ spl0_177
    | ~ spl0_274
    | ~ spl0_297 ),
    inference(subsumption_resolution,[],[f4078,f951]) ).

fof(f951,plain,
    ( ~ c1_1(a658)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_125
  <=> c1_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f4078,plain,
    ( c1_1(a658)
    | ~ spl0_177
    | ~ spl0_274
    | ~ spl0_297 ),
    inference(resolution,[],[f4071,f1211]) ).

fof(f1211,plain,
    ( c2_1(a658)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1209,plain,
    ( spl0_177
  <=> c2_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f4071,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_274
    | ~ spl0_297 ),
    inference(subsumption_resolution,[],[f1812,f1699]) ).

fof(f1812,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_297 ),
    inference(avatar_component_clause,[],[f1811]) ).

fof(f1811,plain,
    ( spl0_297
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f4020,plain,
    ( ~ spl0_181
    | spl0_123
    | ~ spl0_198
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f4017,f1698,f1314,f939,f1229]) ).

fof(f1229,plain,
    ( spl0_181
  <=> c2_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f939,plain,
    ( spl0_123
  <=> c1_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1314,plain,
    ( spl0_198
  <=> c0_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f4017,plain,
    ( ~ c2_1(a674)
    | spl0_123
    | ~ spl0_198
    | ~ spl0_274 ),
    inference(subsumption_resolution,[],[f4014,f941]) ).

fof(f941,plain,
    ( ~ c1_1(a674)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f4014,plain,
    ( c1_1(a674)
    | ~ c2_1(a674)
    | ~ spl0_198
    | ~ spl0_274 ),
    inference(resolution,[],[f1316,f1699]) ).

fof(f1316,plain,
    ( c0_1(a674)
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f1314]) ).

fof(f3963,plain,
    ( spl0_314
    | spl0_136
    | spl0_109
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f3594,f1760,f869,f1004,f2440]) ).

fof(f3594,plain,
    ( c1_1(a625)
    | c3_1(a625)
    | spl0_109
    | ~ spl0_288 ),
    inference(resolution,[],[f871,f1761]) ).

fof(f3912,plain,
    ( spl0_106
    | ~ spl0_147
    | ~ spl0_208
    | ~ spl0_292 ),
    inference(avatar_contradiction_clause,[],[f3911]) ).

fof(f3911,plain,
    ( $false
    | spl0_106
    | ~ spl0_147
    | ~ spl0_208
    | ~ spl0_292 ),
    inference(subsumption_resolution,[],[f3910,f1061]) ).

fof(f3910,plain,
    ( ~ c3_1(a673)
    | spl0_106
    | ~ spl0_208
    | ~ spl0_292 ),
    inference(subsumption_resolution,[],[f3888,f856]) ).

fof(f856,plain,
    ( ~ c0_1(a673)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl0_106
  <=> c0_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3888,plain,
    ( c0_1(a673)
    | ~ c3_1(a673)
    | ~ spl0_208
    | ~ spl0_292 ),
    inference(resolution,[],[f1781,f1366]) ).

fof(f3835,plain,
    ( ~ spl0_197
    | ~ spl0_310
    | ~ spl0_153
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f3717,f1682,f1089,f2352,f1309]) ).

fof(f1309,plain,
    ( spl0_197
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f2352,plain,
    ( spl0_310
  <=> c1_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f1089,plain,
    ( spl0_153
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1682,plain,
    ( spl0_270
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f3717,plain,
    ( ~ c1_1(a648)
    | ~ c0_1(a648)
    | ~ spl0_153
    | ~ spl0_270 ),
    inference(resolution,[],[f1683,f1091]) ).

fof(f1091,plain,
    ( c3_1(a648)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1683,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_270 ),
    inference(avatar_component_clause,[],[f1682]) ).

fof(f3828,plain,
    ( spl0_243
    | spl0_236
    | ~ spl0_276
    | ~ spl0_284
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f3814,f1784,f1742,f1706,f1504,f1539]) ).

fof(f3814,plain,
    ( c1_1(a628)
    | spl0_236
    | ~ spl0_276
    | ~ spl0_284
    | ~ spl0_293 ),
    inference(resolution,[],[f3799,f1506]) ).

fof(f3799,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_276
    | ~ spl0_284
    | ~ spl0_293 ),
    inference(subsumption_resolution,[],[f1785,f3635]) ).

fof(f3635,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_276
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f1743,f1707]) ).

fof(f3607,plain,
    ( spl0_58
    | spl0_124
    | spl0_107
    | ~ spl0_288 ),
    inference(avatar_split_clause,[],[f3224,f1760,f859,f944,f614]) ).

fof(f614,plain,
    ( spl0_58
  <=> c3_1(a634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f944,plain,
    ( spl0_124
  <=> c1_1(a634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f859,plain,
    ( spl0_107
  <=> c0_1(a634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3224,plain,
    ( c1_1(a634)
    | c3_1(a634)
    | spl0_107
    | ~ spl0_288 ),
    inference(resolution,[],[f1761,f861]) ).

fof(f861,plain,
    ( ~ c0_1(a634)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f3606,plain,
    ( ~ spl0_199
    | spl0_129
    | ~ spl0_152
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f3605,f1765,f1084,f969,f1319]) ).

fof(f1765,plain,
    ( spl0_289
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f3605,plain,
    ( ~ c0_1(a632)
    | spl0_129
    | ~ spl0_152
    | ~ spl0_289 ),
    inference(subsumption_resolution,[],[f3604,f971]) ).

fof(f3604,plain,
    ( c1_1(a632)
    | ~ c0_1(a632)
    | ~ spl0_152
    | ~ spl0_289 ),
    inference(resolution,[],[f1086,f1766]) ).

fof(f1766,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_289 ),
    inference(avatar_component_clause,[],[f1765]) ).

fof(f1086,plain,
    ( c3_1(a632)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f3582,plain,
    ( ~ spl0_183
    | spl0_137
    | ~ spl0_184
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f2728,f1698,f1244,f1009,f1239]) ).

fof(f1239,plain,
    ( spl0_183
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1009,plain,
    ( spl0_137
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1244,plain,
    ( spl0_184
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2728,plain,
    ( c1_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_184
    | ~ spl0_274 ),
    inference(resolution,[],[f1699,f1246]) ).

fof(f1246,plain,
    ( c0_1(a598)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f3510,plain,
    ( spl0_264
    | ~ spl0_267
    | ~ spl0_268
    | ~ spl0_295 ),
    inference(avatar_contradiction_clause,[],[f3509]) ).

fof(f3509,plain,
    ( $false
    | spl0_264
    | ~ spl0_267
    | ~ spl0_268
    | ~ spl0_295 ),
    inference(subsumption_resolution,[],[f3508,f1666]) ).

fof(f1666,plain,
    ( c1_1(a613)
    | ~ spl0_268 ),
    inference(avatar_component_clause,[],[f1664]) ).

fof(f1664,plain,
    ( spl0_268
  <=> c1_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f3508,plain,
    ( ~ c1_1(a613)
    | spl0_264
    | ~ spl0_267
    | ~ spl0_295 ),
    inference(subsumption_resolution,[],[f3475,f1646]) ).

fof(f3475,plain,
    ( c3_1(a613)
    | ~ c1_1(a613)
    | ~ spl0_267
    | ~ spl0_295 ),
    inference(resolution,[],[f1801,f1661]) ).

fof(f1801,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f1800]) ).

fof(f1800,plain,
    ( spl0_295
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f3419,plain,
    ( ~ spl0_305
    | spl0_95
    | ~ spl0_176
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f3107,f1702,f1204,f799,f2180]) ).

fof(f2180,plain,
    ( spl0_305
  <=> c1_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f799,plain,
    ( spl0_95
  <=> c0_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1204,plain,
    ( spl0_176
  <=> c2_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f3107,plain,
    ( c0_1(a623)
    | ~ c1_1(a623)
    | ~ spl0_176
    | ~ spl0_275 ),
    inference(resolution,[],[f1703,f1206]) ).

fof(f1206,plain,
    ( c2_1(a623)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f3373,plain,
    ( spl0_315
    | ~ spl0_245
    | ~ spl0_251
    | ~ spl0_289 ),
    inference(avatar_split_clause,[],[f3372,f1765,f1579,f1549,f2466]) ).

fof(f3372,plain,
    ( c1_1(a599)
    | ~ spl0_245
    | ~ spl0_251
    | ~ spl0_289 ),
    inference(subsumption_resolution,[],[f3352,f1581]) ).

fof(f3352,plain,
    ( c1_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_245
    | ~ spl0_289 ),
    inference(resolution,[],[f1766,f1551]) ).

fof(f1551,plain,
    ( c3_1(a599)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1549]) ).

fof(f3027,plain,
    ( ~ spl0_159
    | ~ spl0_189
    | ~ spl0_217
    | ~ spl0_270 ),
    inference(avatar_contradiction_clause,[],[f3026]) ).

fof(f3026,plain,
    ( $false
    | ~ spl0_159
    | ~ spl0_189
    | ~ spl0_217
    | ~ spl0_270 ),
    inference(subsumption_resolution,[],[f3025,f1271]) ).

fof(f1271,plain,
    ( c0_1(a626)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f1269,plain,
    ( spl0_189
  <=> c0_1(a626) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f3025,plain,
    ( ~ c0_1(a626)
    | ~ spl0_159
    | ~ spl0_217
    | ~ spl0_270 ),
    inference(subsumption_resolution,[],[f3024,f1411]) ).

fof(f1411,plain,
    ( c1_1(a626)
    | ~ spl0_217 ),
    inference(avatar_component_clause,[],[f1409]) ).

fof(f1409,plain,
    ( spl0_217
  <=> c1_1(a626) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f3024,plain,
    ( ~ c1_1(a626)
    | ~ c0_1(a626)
    | ~ spl0_159
    | ~ spl0_270 ),
    inference(resolution,[],[f1121,f1683]) ).

fof(f1121,plain,
    ( c3_1(a626)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1119,plain,
    ( spl0_159
  <=> c3_1(a626) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2954,plain,
    ( ~ spl0_205
    | spl0_84
    | ~ spl0_203
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f2852,f1706,f1339,f744,f1349]) ).

fof(f1349,plain,
    ( spl0_205
  <=> c1_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f744,plain,
    ( spl0_84
  <=> c2_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1339,plain,
    ( spl0_203
  <=> c0_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f2852,plain,
    ( c2_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_203
    | ~ spl0_276 ),
    inference(resolution,[],[f1341,f1707]) ).

fof(f1341,plain,
    ( c0_1(a669)
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f1339]) ).

fof(f2950,plain,
    ( spl0_238
    | ~ spl0_251
    | ~ spl0_276
    | ~ spl0_284 ),
    inference(avatar_contradiction_clause,[],[f2949]) ).

fof(f2949,plain,
    ( $false
    | spl0_238
    | ~ spl0_251
    | ~ spl0_276
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f2937,f1516]) ).

fof(f1516,plain,
    ( ~ c2_1(a599)
    | spl0_238 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f2937,plain,
    ( c2_1(a599)
    | ~ spl0_251
    | ~ spl0_276
    | ~ spl0_284 ),
    inference(resolution,[],[f2928,f1581]) ).

fof(f2928,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_276
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f1743,f1707]) ).

fof(f2922,plain,
    ( ~ spl0_167
    | spl0_318
    | ~ spl0_174
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f2914,f1686,f1194,f2919,f1159]) ).

fof(f2914,plain,
    ( c1_1(a651)
    | ~ c3_1(a651)
    | ~ spl0_174
    | ~ spl0_271 ),
    inference(resolution,[],[f1196,f1687]) ).

fof(f2907,plain,
    ( spl0_306
    | spl0_239
    | ~ spl0_279
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f2880,f1738,f1719,f1519,f2201]) ).

fof(f2201,plain,
    ( spl0_306
  <=> c3_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f1519,plain,
    ( spl0_239
  <=> c2_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f2880,plain,
    ( c3_1(a607)
    | spl0_239
    | ~ spl0_279
    | ~ spl0_283 ),
    inference(resolution,[],[f2869,f1521]) ).

fof(f1521,plain,
    ( ~ c2_1(a607)
    | spl0_239 ),
    inference(avatar_component_clause,[],[f1519]) ).

fof(f2869,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_279
    | ~ spl0_283 ),
    inference(subsumption_resolution,[],[f1739,f1720]) ).

fof(f1720,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_279 ),
    inference(avatar_component_clause,[],[f1719]) ).

fof(f2862,plain,
    ( ~ spl0_251
    | ~ spl0_315
    | ~ spl0_245
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f2708,f1682,f1549,f2466,f1579]) ).

fof(f2708,plain,
    ( ~ c1_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_245
    | ~ spl0_270 ),
    inference(resolution,[],[f1683,f1551]) ).

fof(f2697,plain,
    ( spl0_138
    | ~ spl0_186
    | ~ spl0_274
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2696,plain,
    ( $false
    | spl0_138
    | ~ spl0_186
    | ~ spl0_274
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f2695,f1016]) ).

fof(f1016,plain,
    ( ~ c1_1(a597)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1014,plain,
    ( spl0_138
  <=> c1_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2695,plain,
    ( c1_1(a597)
    | ~ spl0_186
    | ~ spl0_274
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(resolution,[],[f1256,f2444]) ).

fof(f2444,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_274
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f1699,f2216]) ).

fof(f2216,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f1777,f1720]) ).

fof(f1256,plain,
    ( c0_1(a597)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1254,plain,
    ( spl0_186
  <=> c0_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f2693,plain,
    ( ~ spl0_317
    | spl0_128
    | ~ spl0_180
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f1908,f1686,f1224,f964,f2690]) ).

fof(f964,plain,
    ( spl0_128
  <=> c1_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1908,plain,
    ( c1_1(a670)
    | ~ c3_1(a670)
    | ~ spl0_180
    | ~ spl0_271 ),
    inference(resolution,[],[f1687,f1226]) ).

fof(f2661,plain,
    ( spl0_84
    | ~ spl0_203
    | ~ spl0_270
    | ~ spl0_274
    | ~ spl0_277
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2660,plain,
    ( $false
    | spl0_84
    | ~ spl0_203
    | ~ spl0_270
    | ~ spl0_274
    | ~ spl0_277
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f2645,f746]) ).

fof(f746,plain,
    ( ~ c2_1(a669)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f2645,plain,
    ( c2_1(a669)
    | ~ spl0_203
    | ~ spl0_270
    | ~ spl0_274
    | ~ spl0_277
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(resolution,[],[f2642,f1341]) ).

fof(f2642,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_270
    | ~ spl0_274
    | ~ spl0_277
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f1711,f2624]) ).

fof(f2624,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_270
    | ~ spl0_274
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f1683,f2444]) ).

fof(f1711,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_277 ),
    inference(avatar_component_clause,[],[f1710]) ).

fof(f1710,plain,
    ( spl0_277
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f2565,plain,
    ( spl0_310
    | spl0_91
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f2225,f1776,f1719,f779,f2352]) ).

fof(f779,plain,
    ( spl0_91
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2225,plain,
    ( c1_1(a648)
    | spl0_91
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(resolution,[],[f2216,f781]) ).

fof(f781,plain,
    ( ~ c2_1(a648)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f2513,plain,
    ( spl0_238
    | ~ spl0_251
    | ~ spl0_276
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2512,plain,
    ( $false
    | spl0_238
    | ~ spl0_251
    | ~ spl0_276
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f2499,f1516]) ).

fof(f2499,plain,
    ( c2_1(a599)
    | ~ spl0_251
    | ~ spl0_276
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(resolution,[],[f2417,f1581]) ).

fof(f2417,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_276
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f1707,f2216]) ).

fof(f2456,plain,
    ( ~ spl0_314
    | spl0_136
    | spl0_109
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f2455,f1694,f869,f1004,f2440]) ).

fof(f1694,plain,
    ( spl0_273
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f2455,plain,
    ( c1_1(a625)
    | ~ c3_1(a625)
    | spl0_109
    | ~ spl0_273 ),
    inference(resolution,[],[f871,f1695]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_273 ),
    inference(avatar_component_clause,[],[f1694]) ).

fof(f2449,plain,
    ( spl0_127
    | spl0_88
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f2447,f1776,f1719,f764,f959]) ).

fof(f959,plain,
    ( spl0_127
  <=> c1_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f764,plain,
    ( spl0_88
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2447,plain,
    ( c1_1(a652)
    | spl0_88
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(resolution,[],[f766,f2216]) ).

fof(f766,plain,
    ( ~ c2_1(a652)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f2443,plain,
    ( spl0_314
    | spl0_136
    | spl0_86
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f2437,f1719,f754,f1004,f2440]) ).

fof(f2437,plain,
    ( c1_1(a625)
    | c3_1(a625)
    | spl0_86
    | ~ spl0_279 ),
    inference(resolution,[],[f756,f1720]) ).

fof(f2407,plain,
    ( ~ spl0_150
    | spl0_120
    | spl0_103
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f2406,f1694,f839,f924,f1074]) ).

fof(f1074,plain,
    ( spl0_150
  <=> c3_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f924,plain,
    ( spl0_120
  <=> c1_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f839,plain,
    ( spl0_103
  <=> c0_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2406,plain,
    ( c1_1(a663)
    | ~ c3_1(a663)
    | spl0_103
    | ~ spl0_273 ),
    inference(resolution,[],[f841,f1695]) ).

fof(f841,plain,
    ( ~ c0_1(a663)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f2396,plain,
    ( spl0_239
    | ~ spl0_256
    | ~ spl0_277
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

fof(f2395,plain,
    ( $false
    | spl0_239
    | ~ spl0_256
    | ~ spl0_277
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2387,f1521]) ).

fof(f2387,plain,
    ( c2_1(a607)
    | ~ spl0_256
    | ~ spl0_277
    | ~ spl0_280 ),
    inference(resolution,[],[f2367,f1606]) ).

fof(f1606,plain,
    ( c0_1(a607)
    | ~ spl0_256 ),
    inference(avatar_component_clause,[],[f1604]) ).

fof(f1604,plain,
    ( spl0_256
  <=> c0_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f2367,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_277
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f1711,f1725]) ).

fof(f2374,plain,
    ( spl0_130
    | ~ spl0_196
    | ~ spl0_274
    | ~ spl0_284 ),
    inference(avatar_contradiction_clause,[],[f2373]) ).

fof(f2373,plain,
    ( $false
    | spl0_130
    | ~ spl0_196
    | ~ spl0_274
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f2370,f976]) ).

fof(f976,plain,
    ( ~ c1_1(a647)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f974,plain,
    ( spl0_130
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2370,plain,
    ( c1_1(a647)
    | ~ spl0_196
    | ~ spl0_274
    | ~ spl0_284 ),
    inference(resolution,[],[f1306,f2217]) ).

fof(f2217,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_274
    | ~ spl0_284 ),
    inference(subsumption_resolution,[],[f1743,f1699]) ).

fof(f1306,plain,
    ( c0_1(a647)
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f1304]) ).

fof(f1304,plain,
    ( spl0_196
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f2350,plain,
    ( ~ spl0_153
    | spl0_91
    | ~ spl0_272
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f2327,f1776,f1719,f1690,f779,f1089]) ).

fof(f2327,plain,
    ( ~ c3_1(a648)
    | spl0_91
    | ~ spl0_272
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(resolution,[],[f2323,f781]) ).

fof(f2323,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_272
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f1691,f2216]) ).

fof(f2344,plain,
    ( spl0_89
    | ~ spl0_155
    | ~ spl0_272
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | spl0_89
    | ~ spl0_155
    | ~ spl0_272
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(subsumption_resolution,[],[f2332,f1101]) ).

fof(f1101,plain,
    ( c3_1(a646)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f1099,plain,
    ( spl0_155
  <=> c3_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2332,plain,
    ( ~ c3_1(a646)
    | spl0_89
    | ~ spl0_272
    | ~ spl0_279
    | ~ spl0_291 ),
    inference(resolution,[],[f2323,f771]) ).

fof(f771,plain,
    ( ~ c2_1(a646)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_89
  <=> c2_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2215,plain,
    ( ~ spl0_259
    | spl0_239
    | ~ spl0_256
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f2214,f1706,f1604,f1519,f1619]) ).

fof(f1619,plain,
    ( spl0_259
  <=> c1_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f2214,plain,
    ( ~ c1_1(a607)
    | spl0_239
    | ~ spl0_256
    | ~ spl0_276 ),
    inference(subsumption_resolution,[],[f2210,f1521]) ).

fof(f2210,plain,
    ( c2_1(a607)
    | ~ c1_1(a607)
    | ~ spl0_256
    | ~ spl0_276 ),
    inference(resolution,[],[f1606,f1707]) ).

fof(f2213,plain,
    ( ~ spl0_306
    | spl0_239
    | ~ spl0_256
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f2212,f1724,f1604,f1519,f2201]) ).

fof(f2212,plain,
    ( ~ c3_1(a607)
    | spl0_239
    | ~ spl0_256
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2209,f1521]) ).

fof(f2209,plain,
    ( c2_1(a607)
    | ~ c3_1(a607)
    | ~ spl0_256
    | ~ spl0_280 ),
    inference(resolution,[],[f1606,f1725]) ).

fof(f2183,plain,
    ( ~ spl0_162
    | spl0_305
    | ~ spl0_176
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f1914,f1686,f1204,f2180,f1134]) ).

fof(f1134,plain,
    ( spl0_162
  <=> c3_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1914,plain,
    ( c1_1(a623)
    | ~ c3_1(a623)
    | ~ spl0_176
    | ~ spl0_271 ),
    inference(resolution,[],[f1687,f1206]) ).

fof(f2175,plain,
    ( spl0_230
    | spl0_240
    | ~ spl0_250
    | ~ spl0_282 ),
    inference(avatar_contradiction_clause,[],[f2174]) ).

fof(f2174,plain,
    ( $false
    | spl0_230
    | spl0_240
    | ~ spl0_250
    | ~ spl0_282 ),
    inference(subsumption_resolution,[],[f2173,f1476]) ).

fof(f2173,plain,
    ( c3_1(a606)
    | spl0_240
    | ~ spl0_250
    | ~ spl0_282 ),
    inference(subsumption_resolution,[],[f2158,f1526]) ).

fof(f2158,plain,
    ( c0_1(a606)
    | c3_1(a606)
    | ~ spl0_250
    | ~ spl0_282 ),
    inference(resolution,[],[f1735,f1576]) ).

fof(f2172,plain,
    ( spl0_98
    | spl0_139
    | ~ spl0_182
    | ~ spl0_273
    | ~ spl0_282 ),
    inference(avatar_contradiction_clause,[],[f2171]) ).

fof(f2171,plain,
    ( $false
    | spl0_98
    | spl0_139
    | ~ spl0_182
    | ~ spl0_273
    | ~ spl0_282 ),
    inference(subsumption_resolution,[],[f2170,f1874]) ).

fof(f1874,plain,
    ( ~ c3_1(a609)
    | spl0_98
    | spl0_139
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1857,f1021]) ).

fof(f1021,plain,
    ( ~ c1_1(a609)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f1019,plain,
    ( spl0_139
  <=> c1_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1857,plain,
    ( c1_1(a609)
    | ~ c3_1(a609)
    | spl0_98
    | ~ spl0_273 ),
    inference(resolution,[],[f1695,f816]) ).

fof(f816,plain,
    ( ~ c0_1(a609)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f2170,plain,
    ( c3_1(a609)
    | spl0_98
    | ~ spl0_182
    | ~ spl0_282 ),
    inference(subsumption_resolution,[],[f2157,f816]) ).

fof(f2157,plain,
    ( c0_1(a609)
    | c3_1(a609)
    | ~ spl0_182
    | ~ spl0_282 ),
    inference(resolution,[],[f1735,f1236]) ).

fof(f2128,plain,
    ( spl0_79
    | ~ spl0_160
    | ~ spl0_193
    | ~ spl0_280 ),
    inference(avatar_split_clause,[],[f2127,f1724,f1289,f1124,f719]) ).

fof(f719,plain,
    ( spl0_79
  <=> c2_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1124,plain,
    ( spl0_160
  <=> c3_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1289,plain,
    ( spl0_193
  <=> c0_1(a615) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f2127,plain,
    ( c2_1(a615)
    | ~ spl0_160
    | ~ spl0_193
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2111,f1126]) ).

fof(f1126,plain,
    ( c3_1(a615)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f2111,plain,
    ( c2_1(a615)
    | ~ c3_1(a615)
    | ~ spl0_193
    | ~ spl0_280 ),
    inference(resolution,[],[f1725,f1291]) ).

fof(f1291,plain,
    ( c0_1(a615)
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f1289]) ).

fof(f2118,plain,
    ( spl0_91
    | ~ spl0_153
    | ~ spl0_197
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f2117]) ).

fof(f2117,plain,
    ( $false
    | spl0_91
    | ~ spl0_153
    | ~ spl0_197
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2116,f1091]) ).

fof(f2116,plain,
    ( ~ c3_1(a648)
    | spl0_91
    | ~ spl0_197
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f2102,f781]) ).

fof(f2102,plain,
    ( c2_1(a648)
    | ~ c3_1(a648)
    | ~ spl0_197
    | ~ spl0_280 ),
    inference(resolution,[],[f1725,f1311]) ).

fof(f1311,plain,
    ( c0_1(a648)
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f1309]) ).

fof(f2054,plain,
    ( ~ spl0_166
    | ~ spl0_177
    | ~ spl0_271
    | ~ spl0_286 ),
    inference(avatar_contradiction_clause,[],[f2053]) ).

fof(f2053,plain,
    ( $false
    | ~ spl0_166
    | ~ spl0_177
    | ~ spl0_271
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f2040,f1156]) ).

fof(f1156,plain,
    ( c3_1(a658)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1154,plain,
    ( spl0_166
  <=> c3_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2040,plain,
    ( ~ c3_1(a658)
    | ~ spl0_177
    | ~ spl0_271
    | ~ spl0_286 ),
    inference(resolution,[],[f2027,f1211]) ).

fof(f2027,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_271
    | ~ spl0_286 ),
    inference(subsumption_resolution,[],[f1752,f1687]) ).

fof(f1752,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f1751]) ).

fof(f1751,plain,
    ( spl0_286
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f1980,plain,
    ( ~ spl0_299
    | spl0_111
    | ~ spl0_170
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f1979,f1702,f1174,f879,f1879]) ).

fof(f1879,plain,
    ( spl0_299
  <=> c1_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f879,plain,
    ( spl0_111
  <=> c0_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1174,plain,
    ( spl0_170
  <=> c2_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1979,plain,
    ( ~ c1_1(a642)
    | spl0_111
    | ~ spl0_170
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f1960,f881]) ).

fof(f881,plain,
    ( ~ c0_1(a642)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f1960,plain,
    ( c0_1(a642)
    | ~ c1_1(a642)
    | ~ spl0_170
    | ~ spl0_275 ),
    inference(resolution,[],[f1703,f1176]) ).

fof(f1176,plain,
    ( c2_1(a642)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1973,plain,
    ( spl0_114
    | ~ spl0_167
    | ~ spl0_174
    | ~ spl0_273
    | ~ spl0_275 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | spl0_114
    | ~ spl0_167
    | ~ spl0_174
    | ~ spl0_273
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f1971,f1865]) ).

fof(f1865,plain,
    ( c1_1(a651)
    | spl0_114
    | ~ spl0_167
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1851,f1161]) ).

fof(f1851,plain,
    ( c1_1(a651)
    | ~ c3_1(a651)
    | spl0_114
    | ~ spl0_273 ),
    inference(resolution,[],[f1695,f896]) ).

fof(f1971,plain,
    ( ~ c1_1(a651)
    | spl0_114
    | ~ spl0_174
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f1955,f896]) ).

fof(f1955,plain,
    ( c0_1(a651)
    | ~ c1_1(a651)
    | ~ spl0_174
    | ~ spl0_275 ),
    inference(resolution,[],[f1703,f1196]) ).

fof(f1969,plain,
    ( spl0_110
    | ~ spl0_178
    | ~ spl0_206
    | ~ spl0_275 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | spl0_110
    | ~ spl0_178
    | ~ spl0_206
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f1967,f1356]) ).

fof(f1356,plain,
    ( c1_1(a662)
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f1354,plain,
    ( spl0_206
  <=> c1_1(a662) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f1967,plain,
    ( ~ c1_1(a662)
    | spl0_110
    | ~ spl0_178
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f1953,f876]) ).

fof(f876,plain,
    ( ~ c0_1(a662)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f874,plain,
    ( spl0_110
  <=> c0_1(a662) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1953,plain,
    ( c0_1(a662)
    | ~ c1_1(a662)
    | ~ spl0_178
    | ~ spl0_275 ),
    inference(resolution,[],[f1703,f1216]) ).

fof(f1216,plain,
    ( c2_1(a662)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1214]) ).

fof(f1214,plain,
    ( spl0_178
  <=> c2_1(a662) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1950,plain,
    ( ~ spl0_300
    | spl0_85
    | ~ spl0_214
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f1949,f1690,f1394,f749,f1904]) ).

fof(f1949,plain,
    ( ~ c3_1(a610)
    | spl0_85
    | ~ spl0_214
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1934,f1396]) ).

fof(f1934,plain,
    ( ~ c3_1(a610)
    | ~ c1_1(a610)
    | spl0_85
    | ~ spl0_272 ),
    inference(resolution,[],[f1691,f751]) ).

fof(f1944,plain,
    ( spl0_265
    | ~ spl0_266
    | ~ spl0_269
    | ~ spl0_272 ),
    inference(avatar_contradiction_clause,[],[f1943]) ).

fof(f1943,plain,
    ( $false
    | spl0_265
    | ~ spl0_266
    | ~ spl0_269
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1942,f1671]) ).

fof(f1671,plain,
    ( c1_1(a653)
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f1669]) ).

fof(f1669,plain,
    ( spl0_269
  <=> c1_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f1942,plain,
    ( ~ c1_1(a653)
    | spl0_265
    | ~ spl0_266
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1928,f1656]) ).

fof(f1656,plain,
    ( c3_1(a653)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f1654]) ).

fof(f1654,plain,
    ( spl0_266
  <=> c3_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f1928,plain,
    ( ~ c3_1(a653)
    | ~ c1_1(a653)
    | spl0_265
    | ~ spl0_272 ),
    inference(resolution,[],[f1691,f1651]) ).

fof(f1651,plain,
    ( ~ c2_1(a653)
    | spl0_265 ),
    inference(avatar_component_clause,[],[f1649]) ).

fof(f1649,plain,
    ( spl0_265
  <=> c2_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f1941,plain,
    ( spl0_73
    | ~ spl0_146
    | ~ spl0_209
    | ~ spl0_272 ),
    inference(avatar_contradiction_clause,[],[f1940]) ).

fof(f1940,plain,
    ( $false
    | spl0_73
    | ~ spl0_146
    | ~ spl0_209
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1939,f1371]) ).

fof(f1939,plain,
    ( ~ c1_1(a675)
    | spl0_73
    | ~ spl0_146
    | ~ spl0_272 ),
    inference(subsumption_resolution,[],[f1927,f1056]) ).

fof(f1927,plain,
    ( ~ c3_1(a675)
    | ~ c1_1(a675)
    | spl0_73
    | ~ spl0_272 ),
    inference(resolution,[],[f1691,f691]) ).

fof(f1895,plain,
    ( spl0_271
    | ~ spl0_273
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f1894,f1698,f1694,f1686]) ).

fof(f1894,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_273
    | ~ spl0_274 ),
    inference(duplicate_literal_removal,[],[f1883]) ).

fof(f1883,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_273
    | ~ spl0_274 ),
    inference(resolution,[],[f1699,f1695]) ).

fof(f1882,plain,
    ( ~ spl0_151
    | spl0_299
    | spl0_111
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f1877,f1694,f879,f1879,f1079]) ).

fof(f1079,plain,
    ( spl0_151
  <=> c3_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1877,plain,
    ( c1_1(a642)
    | ~ c3_1(a642)
    | spl0_111
    | ~ spl0_273 ),
    inference(resolution,[],[f881,f1695]) ).

fof(f1875,plain,
    ( ~ spl0_154
    | spl0_118
    | spl0_119
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f1871,f1694,f919,f914,f1094]) ).

fof(f1094,plain,
    ( spl0_154
  <=> c3_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f914,plain,
    ( spl0_118
  <=> c0_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f919,plain,
    ( spl0_119
  <=> c1_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1871,plain,
    ( ~ c3_1(a643)
    | spl0_118
    | spl0_119
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f1856,f921]) ).

fof(f921,plain,
    ( ~ c1_1(a643)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f1856,plain,
    ( c1_1(a643)
    | ~ c3_1(a643)
    | spl0_118
    | ~ spl0_273 ),
    inference(resolution,[],[f1695,f916]) ).

fof(f916,plain,
    ( ~ c0_1(a643)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f1845,plain,
    ( spl0_132
    | ~ spl0_164
    | ~ spl0_171
    | ~ spl0_271 ),
    inference(avatar_contradiction_clause,[],[f1844]) ).

fof(f1844,plain,
    ( $false
    | spl0_132
    | ~ spl0_164
    | ~ spl0_171
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f1843,f1146]) ).

fof(f1146,plain,
    ( c3_1(a611)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f1144,plain,
    ( spl0_164
  <=> c3_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1843,plain,
    ( ~ c3_1(a611)
    | spl0_132
    | ~ spl0_171
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f1828,f986]) ).

fof(f986,plain,
    ( ~ c1_1(a611)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl0_132
  <=> c1_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1828,plain,
    ( c1_1(a611)
    | ~ c3_1(a611)
    | ~ spl0_171
    | ~ spl0_271 ),
    inference(resolution,[],[f1687,f1181]) ).

fof(f1181,plain,
    ( c2_1(a611)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1179,plain,
    ( spl0_171
  <=> c2_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1837,plain,
    ( spl0_125
    | ~ spl0_166
    | ~ spl0_177
    | ~ spl0_271 ),
    inference(avatar_contradiction_clause,[],[f1836]) ).

fof(f1836,plain,
    ( $false
    | spl0_125
    | ~ spl0_166
    | ~ spl0_177
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f1835,f1156]) ).

fof(f1835,plain,
    ( ~ c3_1(a658)
    | spl0_125
    | ~ spl0_177
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f1823,f951]) ).

fof(f1823,plain,
    ( c1_1(a658)
    | ~ c3_1(a658)
    | ~ spl0_177
    | ~ spl0_271 ),
    inference(resolution,[],[f1687,f1211]) ).

fof(f1815,plain,
    ( spl0_287
    | spl0_275
    | spl0_280
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f323,f330,f1724,f1702,f1757]) ).

fof(f330,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f323,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause323) ).

fof(f1813,plain,
    ( spl0_275
    | spl0_297
    | spl0_271
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f326,f330,f1686,f1811,f1702]) ).

fof(f326,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause326) ).

fof(f1809,plain,
    ( spl0_296
    | spl0_294
    | spl0_285
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f328,f330,f1747,f1789,f1807]) ).

fof(f328,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause328) ).

fof(f1804,plain,
    ( spl0_288
    | spl0_271
    | spl0_273
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f321,f330,f1694,f1686,f1760]) ).

fof(f321,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause321) ).

fof(f1803,plain,
    ( spl0_274
    | spl0_291
    | spl0_290
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f325,f330,f1770,f1776,f1698]) ).

fof(f325,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c2_1(X2)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause325) ).

fof(f1802,plain,
    ( spl0_295
    | spl0_280
    | spl0_290
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f327,f330,f1770,f1724,f1800]) ).

fof(f327,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause327) ).

fof(f1798,plain,
    ( spl0_282
    | spl0_291
    | spl0_263
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f305,f330,f1639,f1776,f1734]) ).

fof(f1639,plain,
    ( spl0_263
  <=> hskp55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f305,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp55
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause305) ).

fof(f1796,plain,
    ( spl0_288
    | spl0_273
    | spl0_221
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f300,f330,f1429,f1694,f1760]) ).

fof(f1429,plain,
    ( spl0_221
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f300,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp42
      | ~ c3_1(X0)
      | c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause300) ).

fof(f1795,plain,
    ( spl0_284
    | spl0_273
    | spl0_221
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f303,f330,f1429,f1694,f1742]) ).

fof(f303,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp42
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause303) ).

fof(f1794,plain,
    ( spl0_276
    | spl0_291
    | spl0_225
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f312,f330,f1449,f1776,f1706]) ).

fof(f1449,plain,
    ( spl0_225
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f312,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause312) ).

fof(f1793,plain,
    ( spl0_276
    | spl0_272
    | spl0_218
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f314,f330,f1414,f1690,f1706]) ).

fof(f1414,plain,
    ( spl0_218
  <=> hskp41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f314,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp41
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause314) ).

fof(f1786,plain,
    ( spl0_293
    | spl0_292
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f302,f330,f479,f1780,f1784]) ).

fof(f479,plain,
    ( spl0_31
  <=> hskp38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f302,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp38
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause302) ).

fof(f1778,plain,
    ( spl0_283
    | spl0_291
    | spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f306,f330,f389,f1776,f1738]) ).

fof(f389,plain,
    ( spl0_13
  <=> hskp56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f306,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp56
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause306) ).

fof(f1774,plain,
    ( spl0_283
    | spl0_289
    | spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f309,f330,f439,f1765,f1738]) ).

fof(f439,plain,
    ( spl0_23
  <=> hskp46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f309,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp46
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause309) ).

fof(f1772,plain,
    ( spl0_283
    | spl0_290
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f308,f330,f444,f1770,f1738]) ).

fof(f444,plain,
    ( spl0_24
  <=> hskp45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f308,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp45
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause308) ).

fof(f1767,plain,
    ( spl0_289
    | spl0_270
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f319,f330,f384,f1682,f1765]) ).

fof(f384,plain,
    ( spl0_12
  <=> hskp57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f319,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp57
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause319) ).

fof(f1763,plain,
    ( spl0_285
    | spl0_280
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f318,f330,f494,f1724,f1747]) ).

fof(f494,plain,
    ( spl0_34
  <=> hskp35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f318,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp35
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause318) ).

fof(f1762,plain,
    ( spl0_287
    | spl0_288
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f297,f330,f1760,f1757]) ).

fof(f297,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause297) ).

fof(f1755,plain,
    ( spl0_279
    | spl0_282
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f299,f330,f1734,f1719]) ).

fof(f299,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause299) ).

fof(f1754,plain,
    ( spl0_275
    | spl0_282
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f301,f330,f1734,f1702]) ).

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

fof(f1753,plain,
    ( spl0_274
    | spl0_286
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f316,f330,f1751,f1698]) ).

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

fof(f1749,plain,
    ( spl0_285
    | spl0_227
    | spl0_225
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f298,f330,f1449,f1459,f1747]) ).

fof(f1459,plain,
    ( spl0_227
  <=> hskp37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f298,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp37
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause298) ).

fof(f1745,plain,
    ( spl0_279
    | spl0_262
    | spl0_33
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f277,f330,f489,f1634,f1719]) ).

fof(f1634,plain,
    ( spl0_262
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f489,plain,
    ( spl0_33
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f277,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp9
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause277) ).

fof(f1744,plain,
    ( spl0_284
    | spl0_263
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f287,f330,f539,f1639,f1742]) ).

fof(f539,plain,
    ( spl0_43
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f287,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp26
      | hskp55
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause287) ).

fof(f1740,plain,
    ( spl0_283
    | spl0_223
    | spl0_36
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f281,f330,f504,f1439,f1738]) ).

fof(f1439,plain,
    ( spl0_223
  <=> hskp40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f504,plain,
    ( spl0_36
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f281,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp40
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause281) ).

fof(f1736,plain,
    ( spl0_282
    | spl0_227
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f286,f330,f399,f1459,f1734]) ).

fof(f399,plain,
    ( spl0_15
  <=> hskp54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f286,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp54
      | hskp37
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause286) ).

fof(f1731,plain,
    ( spl0_273
    | spl0_228
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f285,f330,f404,f1464,f1694]) ).

fof(f1464,plain,
    ( spl0_228
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f404,plain,
    ( spl0_16
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f285,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp53
      | hskp17
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause285) ).

fof(f1726,plain,
    ( spl0_280
    | spl0_218
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f295,f330,f379,f1414,f1724]) ).

fof(f379,plain,
    ( spl0_11
  <=> hskp58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f295,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp58
      | hskp41
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).

fof(f1721,plain,
    ( spl0_279
    | spl0_7
    | spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f279,f330,f354,f359,f1719]) ).

fof(f359,plain,
    ( spl0_7
  <=> hskp62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f354,plain,
    ( spl0_6
  <=> hskp63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f279,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp63
      | hskp62
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause279) ).

fof(f1712,plain,
    ( spl0_277
    | spl0_44
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f284,f330,f409,f544,f1710]) ).

fof(f544,plain,
    ( spl0_44
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f409,plain,
    ( spl0_17
  <=> hskp52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f284,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp52
      | hskp25
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).

fof(f1708,plain,
    ( spl0_276
    | spl0_32
    | spl0_30
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f290,f330,f474,f484,f1706]) ).

fof(f484,plain,
    ( spl0_32
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f474,plain,
    ( spl0_30
  <=> hskp39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f290,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp39
      | hskp7
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause290) ).

fof(f1700,plain,
    ( spl0_274
    | spl0_53
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f293,f330,f594,f589,f1698]) ).

fof(f589,plain,
    ( spl0_53
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f594,plain,
    ( spl0_54
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f293,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp14
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause293) ).

fof(f1696,plain,
    ( spl0_273
    | spl0_2
    | spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f280,f330,f394,f334,f1694]) ).

fof(f334,plain,
    ( spl0_2
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f394,plain,
    ( spl0_14
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f280,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp0
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause280) ).

fof(f1688,plain,
    ( spl0_271
    | spl0_46
    | spl0_45
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f294,f330,f549,f554,f1686]) ).

fof(f554,plain,
    ( spl0_46
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f549,plain,
    ( spl0_45
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f294,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp23
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).

fof(f1684,plain,
    ( spl0_270
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f289,f330,f469,f1682]) ).

fof(f469,plain,
    ( spl0_29
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f289,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause289) ).

fof(f1680,plain,
    ( spl0_262
    | spl0_228
    | spl0_224 ),
    inference(avatar_split_clause,[],[f71,f1444,f1464,f1634]) ).

fof(f1444,plain,
    ( spl0_224
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f71,axiom,
    ( hskp16
    | hskp17
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f1678,plain,
    ( spl0_262
    | spl0_51
    | spl0_50 ),
    inference(avatar_split_clause,[],[f72,f574,f579,f1634]) ).

fof(f579,plain,
    ( spl0_51
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f574,plain,
    ( spl0_50
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f72,axiom,
    ( hskp19
    | hskp18
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f1677,plain,
    ( spl0_219
    | spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f74,f364,f369,f1419]) ).

fof(f1419,plain,
    ( spl0_219
  <=> hskp33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f369,plain,
    ( spl0_9
  <=> hskp60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f364,plain,
    ( spl0_8
  <=> hskp61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f74,axiom,
    ( hskp61
    | hskp60
    | hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f1674,plain,
    ( spl0_5
    | spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f75,f339,f344,f349]) ).

fof(f349,plain,
    ( spl0_5
  <=> hskp64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f344,plain,
    ( spl0_4
  <=> hskp65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f339,plain,
    ( spl0_3
  <=> hskp66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f75,axiom,
    ( hskp66
    | hskp65
    | hskp64 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f1672,plain,
    ( spl0_269
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f96,f1639,f1669]) ).

fof(f96,axiom,
    ( ~ hskp55
    | c1_1(a653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f1667,plain,
    ( spl0_268
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f160,f1634,f1664]) ).

fof(f160,axiom,
    ( ~ hskp9
    | c1_1(a613) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f1662,plain,
    ( spl0_267
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f161,f1634,f1659]) ).

fof(f161,axiom,
    ( ~ hskp9
    | c2_1(a613) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f1657,plain,
    ( spl0_266
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f95,f1639,f1654]) ).

fof(f95,axiom,
    ( ~ hskp55
    | c3_1(a653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f1652,plain,
    ( ~ spl0_265
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f185,f1639,f1649]) ).

fof(f185,axiom,
    ( ~ hskp55
    | ~ c2_1(a653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f1647,plain,
    ( ~ spl0_264
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f258,f1634,f1644]) ).

fof(f258,axiom,
    ( ~ hskp9
    | ~ c3_1(a613) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause258) ).

fof(f1637,plain,
    ( spl0_1
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f59,f1634,f330]) ).

fof(f59,axiom,
    ( ~ hskp9
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f1632,plain,
    ( spl0_261
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f118,f1429,f1629]) ).

fof(f118,axiom,
    ( ~ hskp42
    | c1_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f1622,plain,
    ( spl0_259
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f129,f1459,f1619]) ).

fof(f129,axiom,
    ( ~ hskp37
    | c1_1(a607) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f1612,plain,
    ( spl0_257
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f123,f1439,f1609]) ).

fof(f123,axiom,
    ( ~ hskp40
    | c0_1(a614) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f1607,plain,
    ( spl0_256
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f130,f1459,f1604]) ).

fof(f130,axiom,
    ( ~ hskp37
    | c0_1(a607) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f1582,plain,
    ( spl0_251
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f136,f1419,f1579]) ).

fof(f136,axiom,
    ( ~ hskp33
    | c0_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f1577,plain,
    ( spl0_250
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f165,f1449,f1574]) ).

fof(f165,axiom,
    ( ~ hskp5
    | c2_1(a606) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f1567,plain,
    ( spl0_248
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f119,f1414,f1564]) ).

fof(f119,axiom,
    ( ~ hskp41
    | c2_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f1562,plain,
    ( spl0_247
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f121,f1439,f1559]) ).

fof(f121,axiom,
    ( ~ hskp40
    | c2_1(a614) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f1557,plain,
    ( spl0_246
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f152,f1464,f1554]) ).

fof(f152,axiom,
    ( ~ hskp17
    | c3_1(a628) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f1552,plain,
    ( spl0_245
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f137,f1419,f1549]) ).

fof(f137,axiom,
    ( ~ hskp33
    | c3_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f1547,plain,
    ( spl0_244
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f120,f1414,f1544]) ).

fof(f120,axiom,
    ( ~ hskp41
    | c3_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f1542,plain,
    ( ~ spl0_243
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f243,f1464,f1539]) ).

fof(f243,axiom,
    ( ~ hskp17
    | ~ c1_1(a628) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause243) ).

fof(f1532,plain,
    ( ~ spl0_241
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f203,f1414,f1529]) ).

fof(f203,axiom,
    ( ~ hskp41
    | ~ c1_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f1527,plain,
    ( ~ spl0_240
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f265,f1449,f1524]) ).

fof(f265,axiom,
    ( ~ hskp5
    | ~ c0_1(a606) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause265) ).

fof(f1522,plain,
    ( ~ spl0_239
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f205,f1459,f1519]) ).

fof(f205,axiom,
    ( ~ hskp37
    | ~ c2_1(a607) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f1517,plain,
    ( ~ spl0_238
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f210,f1419,f1514]) ).

fof(f210,axiom,
    ( ~ hskp33
    | ~ c2_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause210) ).

fof(f1507,plain,
    ( ~ spl0_236
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f242,f1464,f1504]) ).

fof(f242,axiom,
    ( ~ hskp17
    | ~ c2_1(a628) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause242) ).

fof(f1502,plain,
    ( ~ spl0_235
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f201,f1429,f1499]) ).

fof(f201,axiom,
    ( ~ hskp42
    | ~ c2_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f1477,plain,
    ( ~ spl0_230
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f266,f1449,f1474]) ).

fof(f266,axiom,
    ( ~ hskp5
    | ~ c3_1(a606) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause266) ).

fof(f1472,plain,
    ( ~ spl0_229
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f202,f1429,f1469]) ).

fof(f202,axiom,
    ( ~ hskp42
    | ~ c3_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f1467,plain,
    ( spl0_1
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f51,f1464,f330]) ).

fof(f51,axiom,
    ( ~ hskp17
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f1447,plain,
    ( spl0_1
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f52,f1444,f330]) ).

fof(f52,axiom,
    ( ~ hskp16
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f1412,plain,
    ( spl0_217
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f110,f439,f1409]) ).

fof(f110,axiom,
    ( ~ hskp46
    | c1_1(a626) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f1397,plain,
    ( spl0_214
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f163,f484,f1394]) ).

fof(f163,axiom,
    ( ~ hskp7
    | c1_1(a610) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f1372,plain,
    ( spl0_209
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f76,f339,f1369]) ).

fof(f76,axiom,
    ( ~ hskp66
    | c1_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f1367,plain,
    ( spl0_208
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f81,f349,f1364]) ).

fof(f81,axiom,
    ( ~ hskp64
    | c1_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f1357,plain,
    ( spl0_206
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f91,f384,f1354]) ).

fof(f91,axiom,
    ( ~ hskp57
    | c1_1(a662) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f1352,plain,
    ( spl0_205
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f87,f369,f1349]) ).

fof(f87,axiom,
    ( ~ hskp60
    | c1_1(a669) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f1342,plain,
    ( spl0_203
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f86,f369,f1339]) ).

fof(f86,axiom,
    ( ~ hskp60
    | c0_1(a669) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f1337,plain,
    ( spl0_202
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f84,f359,f1334]) ).

fof(f84,axiom,
    ( ~ hskp62
    | c0_1(a671) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f1322,plain,
    ( spl0_199
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f150,f579,f1319]) ).

fof(f150,axiom,
    ( ~ hskp18
    | c0_1(a632) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f1317,plain,
    ( spl0_198
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f79,f344,f1314]) ).

fof(f79,axiom,
    ( ~ hskp65
    | c0_1(a674) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f1312,plain,
    ( spl0_197
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f100,f404,f1309]) ).

fof(f100,axiom,
    ( ~ hskp53
    | c0_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f1307,plain,
    ( spl0_196
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f101,f409,f1304]) ).

fof(f101,axiom,
    ( ~ hskp52
    | c0_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f1292,plain,
    ( spl0_193
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f158,f504,f1289]) ).

fof(f158,axiom,
    ( ~ hskp10
    | c0_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f1272,plain,
    ( spl0_189
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f111,f439,f1269]) ).

fof(f111,axiom,
    ( ~ hskp46
    | c0_1(a626) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f1257,plain,
    ( spl0_186
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f170,f334,f1254]) ).

fof(f170,axiom,
    ( ~ hskp0
    | c0_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f1252,plain,
    ( spl0_185
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f128,f479,f1249]) ).

fof(f128,axiom,
    ( ~ hskp38
    | c0_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f1247,plain,
    ( spl0_184
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f168,f394,f1244]) ).

fof(f168,axiom,
    ( ~ hskp1
    | c0_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f1242,plain,
    ( spl0_183
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f169,f394,f1239]) ).

fof(f169,axiom,
    ( ~ hskp1
    | c2_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f1237,plain,
    ( spl0_182
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f164,f469,f1234]) ).

fof(f164,axiom,
    ( ~ hskp6
    | c2_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f1232,plain,
    ( spl0_181
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f78,f344,f1229]) ).

fof(f78,axiom,
    ( ~ hskp65
    | c2_1(a674) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f1227,plain,
    ( spl0_180
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f85,f364,f1224]) ).

fof(f85,axiom,
    ( ~ hskp61
    | c2_1(a670) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f1217,plain,
    ( spl0_178
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f92,f384,f1214]) ).

fof(f92,axiom,
    ( ~ hskp57
    | c2_1(a662) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f1212,plain,
    ( spl0_177
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f93,f389,f1209]) ).

fof(f93,axiom,
    ( ~ hskp56
    | c2_1(a658) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f1207,plain,
    ( spl0_176
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f114,f444,f1204]) ).

fof(f114,axiom,
    ( ~ hskp45
    | c2_1(a623) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f1197,plain,
    ( spl0_174
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f399,f1194]) ).

fof(f98,axiom,
    ( ~ hskp54
    | c2_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f1182,plain,
    ( spl0_171
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f125,f474,f1179]) ).

fof(f125,axiom,
    ( ~ hskp39
    | c2_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f1177,plain,
    ( spl0_170
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f145,f554,f1174]) ).

fof(f145,axiom,
    ( ~ hskp23
    | c2_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f1167,plain,
    ( spl0_168
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f133,f494,f1164]) ).

fof(f133,axiom,
    ( ~ hskp35
    | c2_1(a602) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f1162,plain,
    ( spl0_167
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f97,f399,f1159]) ).

fof(f97,axiom,
    ( ~ hskp54
    | c3_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f1157,plain,
    ( spl0_166
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f94,f389,f1154]) ).

fof(f94,axiom,
    ( ~ hskp56
    | c3_1(a658) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f1147,plain,
    ( spl0_164
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f124,f474,f1144]) ).

fof(f124,axiom,
    ( ~ hskp39
    | c3_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f1142,plain,
    ( spl0_163
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f162,f489,f1139]) ).

fof(f162,axiom,
    ( ~ hskp8
    | c3_1(a612) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f1137,plain,
    ( spl0_162
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f113,f444,f1134]) ).

fof(f113,axiom,
    ( ~ hskp45
    | c3_1(a623) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f1132,plain,
    ( spl0_161
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f127,f479,f1129]) ).

fof(f127,axiom,
    ( ~ hskp38
    | c3_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f1127,plain,
    ( spl0_160
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f159,f504,f1124]) ).

fof(f159,axiom,
    ( ~ hskp10
    | c3_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f1122,plain,
    ( spl0_159
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f112,f439,f1119]) ).

fof(f112,axiom,
    ( ~ hskp46
    | c3_1(a626) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f1107,plain,
    ( spl0_156
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f155,f589,f1104]) ).

fof(f155,axiom,
    ( ~ hskp14
    | c3_1(a624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f1102,plain,
    ( spl0_155
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f143,f544,f1099]) ).

fof(f143,axiom,
    ( ~ hskp25
    | c3_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f1097,plain,
    ( spl0_154
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f144,f549,f1094]) ).

fof(f144,axiom,
    ( ~ hskp24
    | c3_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f1092,plain,
    ( spl0_153
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f99,f404,f1089]) ).

fof(f99,axiom,
    ( ~ hskp53
    | c3_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f1087,plain,
    ( spl0_152
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f151,f579,f1084]) ).

fof(f151,axiom,
    ( ~ hskp18
    | c3_1(a632) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f1082,plain,
    ( spl0_151
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f146,f554,f1079]) ).

fof(f146,axiom,
    ( ~ hskp23
    | c3_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f1077,plain,
    ( spl0_150
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f90,f379,f1074]) ).

fof(f90,axiom,
    ( ~ hskp58
    | c3_1(a663) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f1072,plain,
    ( spl0_149
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f83,f359,f1069]) ).

fof(f83,axiom,
    ( ~ hskp62
    | c3_1(a671) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f1067,plain,
    ( spl0_148
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f82,f354,f1064]) ).

fof(f82,axiom,
    ( ~ hskp63
    | c3_1(a672) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f1062,plain,
    ( spl0_147
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f80,f349,f1059]) ).

fof(f80,axiom,
    ( ~ hskp64
    | c3_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f1057,plain,
    ( spl0_146
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f77,f339,f1054]) ).

fof(f77,axiom,
    ( ~ hskp66
    | c3_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f1047,plain,
    ( ~ spl0_144
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f260,f489,f1044]) ).

fof(f260,axiom,
    ( ~ hskp8
    | ~ c1_1(a612) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause260) ).

fof(f1022,plain,
    ( ~ spl0_139
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f264,f469,f1019]) ).

fof(f264,axiom,
    ( ~ hskp6
    | ~ c1_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause264) ).

fof(f1017,plain,
    ( ~ spl0_138
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f276,f334,f1014]) ).

fof(f276,axiom,
    ( ~ hskp0
    | ~ c1_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).

fof(f1012,plain,
    ( ~ spl0_137
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f274,f394,f1009]) ).

fof(f274,axiom,
    ( ~ hskp1
    | ~ c1_1(a598) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause274) ).

fof(f1007,plain,
    ( ~ spl0_136
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f246,f594,f1004]) ).

fof(f246,axiom,
    ( ~ hskp15
    | ~ c1_1(a625) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause246) ).

fof(f1002,plain,
    ( ~ spl0_135
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f248,f589,f999]) ).

fof(f248,axiom,
    ( ~ hskp14
    | ~ c1_1(a624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause248) ).

fof(f987,plain,
    ( ~ spl0_132
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f204,f474,f984]) ).

fof(f204,axiom,
    ( ~ hskp39
    | ~ c1_1(a611) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f977,plain,
    ( ~ spl0_130
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f189,f409,f974]) ).

fof(f189,axiom,
    ( ~ hskp52
    | ~ c1_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f972,plain,
    ( ~ spl0_129
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f241,f579,f969]) ).

fof(f241,axiom,
    ( ~ hskp18
    | ~ c1_1(a632) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause241) ).

fof(f967,plain,
    ( ~ spl0_128
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f177,f364,f964]) ).

fof(f177,axiom,
    ( ~ hskp61
    | ~ c1_1(a670) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f962,plain,
    ( ~ spl0_127
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f225,f539,f959]) ).

fof(f225,axiom,
    ( ~ hskp26
    | ~ c1_1(a652) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause225) ).

fof(f952,plain,
    ( ~ spl0_125
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f184,f389,f949]) ).

fof(f184,axiom,
    ( ~ hskp56
    | ~ c1_1(a658) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f947,plain,
    ( ~ spl0_124
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f238,f574,f944]) ).

fof(f238,axiom,
    ( ~ hskp19
    | ~ c1_1(a634) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause238) ).

fof(f942,plain,
    ( ~ spl0_123
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f172,f344,f939]) ).

fof(f172,axiom,
    ( ~ hskp65
    | ~ c1_1(a674) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f927,plain,
    ( ~ spl0_120
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f182,f379,f924]) ).

fof(f182,axiom,
    ( ~ hskp58
    | ~ c1_1(a663) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f922,plain,
    ( ~ spl0_119
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f230,f549,f919]) ).

fof(f230,axiom,
    ( ~ hskp24
    | ~ c1_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause230) ).

fof(f917,plain,
    ( ~ spl0_118
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f229,f549,f914]) ).

fof(f229,axiom,
    ( ~ hskp24
    | ~ c0_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause229) ).

fof(f897,plain,
    ( ~ spl0_114
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f186,f399,f894]) ).

fof(f186,axiom,
    ( ~ hskp54
    | ~ c0_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f882,plain,
    ( ~ spl0_111
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f231,f554,f879]) ).

fof(f231,axiom,
    ( ~ hskp23
    | ~ c0_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause231) ).

fof(f877,plain,
    ( ~ spl0_110
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f183,f384,f874]) ).

fof(f183,axiom,
    ( ~ hskp57
    | ~ c0_1(a662) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f872,plain,
    ( ~ spl0_109
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f247,f594,f869]) ).

fof(f247,axiom,
    ( ~ hskp15
    | ~ c0_1(a625) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause247) ).

fof(f862,plain,
    ( ~ spl0_107
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f239,f574,f859]) ).

fof(f239,axiom,
    ( ~ hskp19
    | ~ c0_1(a634) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause239) ).

fof(f857,plain,
    ( ~ spl0_106
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f173,f349,f854]) ).

fof(f173,axiom,
    ( ~ hskp64
    | ~ c0_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f852,plain,
    ( ~ spl0_105
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f178,f364,f849]) ).

fof(f178,axiom,
    ( ~ hskp61
    | ~ c0_1(a670) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f842,plain,
    ( ~ spl0_103
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f181,f379,f839]) ).

fof(f181,axiom,
    ( ~ hskp58
    | ~ c0_1(a663) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f817,plain,
    ( ~ spl0_98
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f263,f469,f814]) ).

fof(f263,axiom,
    ( ~ hskp6
    | ~ c0_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause263) ).

fof(f812,plain,
    ( ~ spl0_97
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f262,f484,f809]) ).

fof(f262,axiom,
    ( ~ hskp7
    | ~ c0_1(a610) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause262) ).

fof(f802,plain,
    ( ~ spl0_95
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f197,f444,f799]) ).

fof(f197,axiom,
    ( ~ hskp45
    | ~ c0_1(a623) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f787,plain,
    ( ~ spl0_92
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f175,f354,f784]) ).

fof(f175,axiom,
    ( ~ hskp63
    | ~ c2_1(a672) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f782,plain,
    ( ~ spl0_91
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f187,f404,f779]) ).

fof(f187,axiom,
    ( ~ hskp53
    | ~ c2_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f772,plain,
    ( ~ spl0_89
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f227,f544,f769]) ).

fof(f227,axiom,
    ( ~ hskp25
    | ~ c2_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause227) ).

fof(f767,plain,
    ( ~ spl0_88
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f226,f539,f764]) ).

fof(f226,axiom,
    ( ~ hskp26
    | ~ c2_1(a652) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause226) ).

fof(f757,plain,
    ( ~ spl0_86
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f245,f594,f754]) ).

fof(f245,axiom,
    ( ~ hskp15
    | ~ c2_1(a625) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause245) ).

fof(f752,plain,
    ( ~ spl0_85
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f261,f484,f749]) ).

fof(f261,axiom,
    ( ~ hskp7
    | ~ c2_1(a610) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause261) ).

fof(f747,plain,
    ( ~ spl0_84
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f179,f369,f744]) ).

fof(f179,axiom,
    ( ~ hskp60
    | ~ c2_1(a669) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f732,plain,
    ( ~ spl0_81
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f259,f489,f729]) ).

fof(f259,axiom,
    ( ~ hskp8
    | ~ c2_1(a612) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause259) ).

fof(f722,plain,
    ( ~ spl0_79
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f257,f504,f719]) ).

fof(f257,axiom,
    ( ~ hskp10
    | ~ c2_1(a615) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause257) ).

fof(f717,plain,
    ( ~ spl0_78
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f249,f589,f714]) ).

fof(f249,axiom,
    ( ~ hskp14
    | ~ c2_1(a624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause249) ).

fof(f692,plain,
    ( ~ spl0_73
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f171,f339,f689]) ).

fof(f171,axiom,
    ( ~ hskp66
    | ~ c2_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f682,plain,
    ( ~ spl0_71
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f207,f494,f679]) ).

fof(f207,axiom,
    ( ~ hskp35
    | ~ c3_1(a602) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

fof(f617,plain,
    ( ~ spl0_58
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f240,f574,f614]) ).

fof(f240,axiom,
    ( ~ hskp19
    | ~ c3_1(a634) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause240) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN440-1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 17:08:07 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (29435)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (29439)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33  % (29441)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33  % (29438)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)
% 0.15/0.33  % (29442)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)
% 0.15/0.33  % (29440)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33  % (29436)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33  % (29437)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [67]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [67]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [67]
% 0.15/0.33  TRYING [1]
% 0.15/0.33  Detected minimum model sizes of [1]
% 0.15/0.33  Detected maximum model sizes of [67]
% 0.15/0.33  TRYING [1]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [4]
% 0.15/0.34  TRYING [4]
% 0.15/0.34  TRYING [4]
% 0.15/0.34  TRYING [4]
% 0.15/0.36  TRYING [5]
% 0.15/0.36  TRYING [5]
% 0.15/0.37  TRYING [5]
% 0.15/0.37  TRYING [5]
% 0.15/0.39  % (29441)First to succeed.
% 0.15/0.40  % (29441)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29435"
% 0.15/0.40  % (29441)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41  % (29441)------------------------------
% 0.15/0.41  % (29441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.41  % (29441)Termination reason: Refutation
% 0.15/0.41  
% 0.15/0.41  % (29441)Memory used [KB]: 2603
% 0.15/0.41  % (29441)Time elapsed: 0.074 s
% 0.15/0.41  % (29441)Instructions burned: 145 (million)
% 0.15/0.41  % (29435)Success in time 0.094 s
%------------------------------------------------------------------------------