TSTP Solution File: SYN476-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN476-1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:23:00 EDT 2024

% Result   : Unsatisfiable 0.67s 0.85s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  310
% Syntax   : Number of formulae    :  767 (   1 unt;   0 def)
%            Number of atoms       : 2463 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2914 (1218   ~;1530   |;   0   &)
%                                         ( 166 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  201 ( 200 usr; 197 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  149 ( 149   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2399,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f300,f330,f366,f367,f368,f369,f370,f372,f373,f374,f394,f399,f404,f409,f414,f419,f424,f429,f434,f439,f444,f449,f454,f459,f464,f469,f474,f479,f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f534,f544,f554,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f679,f684,f689,f694,f699,f704,f709,f714,f719,f724,f729,f734,f739,f744,f749,f754,f759,f764,f769,f784,f789,f804,f809,f814,f819,f824,f829,f834,f839,f844,f849,f854,f863,f868,f869,f873,f877,f885,f893,f894,f906,f915,f919,f923,f927,f935,f942,f943,f944,f945,f946,f947,f948,f952,f953,f954,f955,f959,f960,f961,f962,f968,f969,f970,f974,f978,f979,f980,f981,f982,f983,f984,f989,f990,f994,f998,f1003,f1004,f1006,f1028,f1052,f1053,f1080,f1098,f1103,f1113,f1129,f1134,f1139,f1144,f1145,f1152,f1169,f1189,f1195,f1210,f1229,f1230,f1235,f1241,f1250,f1251,f1253,f1261,f1273,f1279,f1311,f1312,f1313,f1314,f1348,f1351,f1352,f1381,f1382,f1390,f1392,f1457,f1464,f1468,f1488,f1491,f1574,f1575,f1576,f1577,f1582,f1604,f1607,f1613,f1614,f1622,f1624,f1625,f1650,f1674,f1675,f1676,f1679,f1760,f1761,f1798,f1800,f1829,f1833,f1834,f1835,f1899,f1901,f1903,f1906,f1908,f1910,f1917,f1918,f1922,f1941,f1942,f1983,f1984,f1988,f2023,f2027,f2028,f2029,f2040,f2044,f2059,f2119,f2120,f2123,f2180,f2184,f2187,f2280,f2282,f2283,f2284,f2290,f2298,f2318,f2319,f2366,f2367,f2395,f2396]) ).

fof(f2396,plain,
    ( spl0_173
    | ~ spl0_47
    | spl0_90
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2385,f992,f656,f441,f1131]) ).

fof(f1131,plain,
    ( spl0_173
  <=> c1_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f441,plain,
    ( spl0_47
  <=> c2_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f656,plain,
    ( spl0_90
  <=> c0_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f992,plain,
    ( spl0_157
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2385,plain,
    ( ~ c2_1(a1149)
    | c1_1(a1149)
    | spl0_90
    | ~ spl0_157 ),
    inference(resolution,[],[f993,f658]) ).

fof(f658,plain,
    ( ~ c0_1(a1149)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f993,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f2395,plain,
    ( spl0_89
    | ~ spl0_46
    | spl0_88
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2384,f992,f646,f436,f651]) ).

fof(f651,plain,
    ( spl0_89
  <=> c1_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f436,plain,
    ( spl0_46
  <=> c2_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f646,plain,
    ( spl0_88
  <=> c0_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2384,plain,
    ( ~ c2_1(a1172)
    | c1_1(a1172)
    | spl0_88
    | ~ spl0_157 ),
    inference(resolution,[],[f993,f648]) ).

fof(f648,plain,
    ( ~ c0_1(a1172)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f2367,plain,
    ( spl0_163
    | ~ spl0_60
    | spl0_104
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2357,f937,f726,f506,f1039]) ).

fof(f1039,plain,
    ( spl0_163
  <=> c3_1(a1119) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f506,plain,
    ( spl0_60
  <=> c1_1(a1119) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f726,plain,
    ( spl0_104
  <=> c0_1(a1119) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f937,plain,
    ( spl0_149
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2357,plain,
    ( ~ c1_1(a1119)
    | c3_1(a1119)
    | spl0_104
    | ~ spl0_149 ),
    inference(resolution,[],[f938,f728]) ).

fof(f728,plain,
    ( ~ c0_1(a1119)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f938,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f2366,plain,
    ( spl0_95
    | ~ spl0_52
    | spl0_94
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2355,f937,f676,f466,f681]) ).

fof(f681,plain,
    ( spl0_95
  <=> c3_1(a1131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f466,plain,
    ( spl0_52
  <=> c1_1(a1131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f676,plain,
    ( spl0_94
  <=> c0_1(a1131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2355,plain,
    ( ~ c1_1(a1131)
    | c3_1(a1131)
    | spl0_94
    | ~ spl0_149 ),
    inference(resolution,[],[f938,f678]) ).

fof(f678,plain,
    ( ~ c0_1(a1131)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f2319,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2307,f879,f491,f716,f711]) ).

fof(f711,plain,
    ( spl0_101
  <=> c1_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f716,plain,
    ( spl0_102
  <=> c2_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f491,plain,
    ( spl0_57
  <=> c0_1(a1124) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f879,plain,
    ( spl0_135
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2307,plain,
    ( c2_1(a1124)
    | c1_1(a1124)
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(resolution,[],[f880,f493]) ).

fof(f493,plain,
    ( c0_1(a1124)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f880,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f2318,plain,
    ( spl0_131
    | ~ spl0_135
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2317,f940,f879,f861]) ).

fof(f861,plain,
    ( spl0_131
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f940,plain,
    ( spl0_150
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2317,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_135
    | ~ spl0_150 ),
    inference(duplicate_literal_removal,[],[f2301]) ).

fof(f2301,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_150 ),
    inference(resolution,[],[f880,f941]) ).

fof(f941,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f2298,plain,
    ( spl0_127
    | spl0_129
    | ~ spl0_150
    | spl0_166 ),
    inference(avatar_split_clause,[],[f2297,f1055,f940,f851,f841]) ).

fof(f841,plain,
    ( spl0_127
  <=> c1_1(a1098) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f851,plain,
    ( spl0_129
  <=> c3_1(a1098) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1055,plain,
    ( spl0_166
  <=> c0_1(a1098) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2297,plain,
    ( c3_1(a1098)
    | c1_1(a1098)
    | ~ spl0_150
    | spl0_166 ),
    inference(resolution,[],[f1056,f941]) ).

fof(f1056,plain,
    ( ~ c0_1(a1098)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f2290,plain,
    ( spl0_89
    | spl0_186
    | spl0_88
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2289,f940,f646,f1461,f651]) ).

fof(f1461,plain,
    ( spl0_186
  <=> c3_1(a1172) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f2289,plain,
    ( c3_1(a1172)
    | c1_1(a1172)
    | spl0_88
    | ~ spl0_150 ),
    inference(resolution,[],[f648,f941]) ).

fof(f2284,plain,
    ( spl0_187
    | ~ spl0_75
    | spl0_123
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2274,f950,f821,f581,f1617]) ).

fof(f1617,plain,
    ( spl0_187
  <=> c2_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f581,plain,
    ( spl0_75
  <=> c1_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f821,plain,
    ( spl0_123
  <=> c3_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f950,plain,
    ( spl0_151
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2274,plain,
    ( ~ c1_1(a1102)
    | c2_1(a1102)
    | spl0_123
    | ~ spl0_151 ),
    inference(resolution,[],[f951,f823]) ).

fof(f823,plain,
    ( ~ c3_1(a1102)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f951,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f2283,plain,
    ( spl0_120
    | ~ spl0_72
    | ~ spl0_151
    | spl0_185 ),
    inference(avatar_split_clause,[],[f2273,f1386,f950,f566,f806]) ).

fof(f806,plain,
    ( spl0_120
  <=> c2_1(a1104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f566,plain,
    ( spl0_72
  <=> c1_1(a1104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1386,plain,
    ( spl0_185
  <=> c3_1(a1104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f2273,plain,
    ( ~ c1_1(a1104)
    | c2_1(a1104)
    | ~ spl0_151
    | spl0_185 ),
    inference(resolution,[],[f951,f1387]) ).

fof(f1387,plain,
    ( ~ c3_1(a1104)
    | spl0_185 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f2282,plain,
    ( spl0_106
    | ~ spl0_61
    | spl0_107
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2269,f950,f741,f511,f736]) ).

fof(f736,plain,
    ( spl0_106
  <=> c2_1(a1118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f511,plain,
    ( spl0_61
  <=> c1_1(a1118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f741,plain,
    ( spl0_107
  <=> c3_1(a1118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2269,plain,
    ( ~ c1_1(a1118)
    | c2_1(a1118)
    | spl0_107
    | ~ spl0_151 ),
    inference(resolution,[],[f951,f743]) ).

fof(f743,plain,
    ( ~ c3_1(a1118)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f2280,plain,
    ( spl0_91
    | ~ spl0_182
    | spl0_92
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2266,f950,f666,f1257,f661]) ).

fof(f661,plain,
    ( spl0_91
  <=> c2_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1257,plain,
    ( spl0_182
  <=> c1_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f666,plain,
    ( spl0_92
  <=> c3_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2266,plain,
    ( ~ c1_1(a1147)
    | c2_1(a1147)
    | spl0_92
    | ~ spl0_151 ),
    inference(resolution,[],[f951,f668]) ).

fof(f668,plain,
    ( ~ c3_1(a1147)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f2187,plain,
    ( spl0_168
    | ~ spl0_53
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2149,f896,f476,f471,f1076]) ).

fof(f1076,plain,
    ( spl0_168
  <=> c0_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f471,plain,
    ( spl0_53
  <=> c1_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f476,plain,
    ( spl0_54
  <=> c3_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f896,plain,
    ( spl0_139
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2149,plain,
    ( ~ c1_1(a1127)
    | c0_1(a1127)
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(resolution,[],[f897,f478]) ).

fof(f478,plain,
    ( c3_1(a1127)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f897,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f2184,plain,
    ( ~ spl0_51
    | ~ spl0_50
    | ~ spl0_152
    | spl0_188 ),
    inference(avatar_split_clause,[],[f2183,f1730,f957,f456,f461]) ).

fof(f461,plain,
    ( spl0_51
  <=> c3_1(a1145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f456,plain,
    ( spl0_50
  <=> c2_1(a1145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f957,plain,
    ( spl0_152
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1730,plain,
    ( spl0_188
  <=> c0_1(a1145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f2183,plain,
    ( ~ c2_1(a1145)
    | ~ c3_1(a1145)
    | ~ spl0_152
    | spl0_188 ),
    inference(resolution,[],[f1731,f958]) ).

fof(f958,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f1731,plain,
    ( ~ c0_1(a1145)
    | spl0_188 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f2180,plain,
    ( ~ spl0_51
    | ~ spl0_188
    | ~ spl0_50
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2171,f925,f456,f1730,f461]) ).

fof(f925,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2171,plain,
    ( ~ c0_1(a1145)
    | ~ c3_1(a1145)
    | ~ spl0_50
    | ~ spl0_146 ),
    inference(resolution,[],[f926,f458]) ).

fof(f458,plain,
    ( c2_1(a1145)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f2123,plain,
    ( spl0_165
    | spl0_86
    | spl0_87
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2084,f861,f641,f636,f1049]) ).

fof(f1049,plain,
    ( spl0_165
  <=> c3_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f636,plain,
    ( spl0_86
  <=> c1_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f641,plain,
    ( spl0_87
  <=> c2_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2084,plain,
    ( c1_1(a1180)
    | c3_1(a1180)
    | spl0_87
    | ~ spl0_131 ),
    inference(resolution,[],[f862,f643]) ).

fof(f643,plain,
    ( ~ c2_1(a1180)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f862,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f2120,plain,
    ( spl0_103
    | spl0_178
    | ~ spl0_59
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2115,f871,f501,f1192,f721]) ).

fof(f721,plain,
    ( spl0_103
  <=> c0_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1192,plain,
    ( spl0_178
  <=> c2_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f501,plain,
    ( spl0_59
  <=> c3_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f871,plain,
    ( spl0_133
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2115,plain,
    ( c2_1(a1121)
    | c0_1(a1121)
    | ~ spl0_59
    | ~ spl0_133 ),
    inference(resolution,[],[f872,f503]) ).

fof(f503,plain,
    ( c3_1(a1121)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f872,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f2119,plain,
    ( spl0_168
    | spl0_99
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2114,f871,f476,f701,f1076]) ).

fof(f701,plain,
    ( spl0_99
  <=> c2_1(a1127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2114,plain,
    ( c2_1(a1127)
    | c0_1(a1127)
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(resolution,[],[f872,f478]) ).

fof(f2059,plain,
    ( ~ spl0_39
    | ~ spl0_38
    | ~ spl0_152
    | spl0_172 ),
    inference(avatar_split_clause,[],[f2058,f1126,f957,f396,f401]) ).

fof(f401,plain,
    ( spl0_39
  <=> c3_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f396,plain,
    ( spl0_38
  <=> c2_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1126,plain,
    ( spl0_172
  <=> c0_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2058,plain,
    ( ~ c2_1(a1136)
    | ~ c3_1(a1136)
    | ~ spl0_152
    | spl0_172 ),
    inference(resolution,[],[f1127,f958]) ).

fof(f1127,plain,
    ( ~ c0_1(a1136)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f2044,plain,
    ( ~ spl0_59
    | ~ spl0_178
    | spl0_103
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2043,f957,f721,f1192,f501]) ).

fof(f2043,plain,
    ( ~ c2_1(a1121)
    | ~ c3_1(a1121)
    | spl0_103
    | ~ spl0_152 ),
    inference(resolution,[],[f723,f958]) ).

fof(f723,plain,
    ( ~ c0_1(a1121)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f2040,plain,
    ( ~ spl0_48
    | ~ spl0_47
    | spl0_90
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2039,f957,f656,f441,f446]) ).

fof(f446,plain,
    ( spl0_48
  <=> c3_1(a1149) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2039,plain,
    ( ~ c2_1(a1149)
    | ~ c3_1(a1149)
    | spl0_90
    | ~ spl0_152 ),
    inference(resolution,[],[f658,f958]) ).

fof(f2029,plain,
    ( spl0_124
    | ~ spl0_175
    | ~ spl0_76
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1747,f913,f586,f1141,f826]) ).

fof(f826,plain,
    ( spl0_124
  <=> c3_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1141,plain,
    ( spl0_175
  <=> c0_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f586,plain,
    ( spl0_76
  <=> c1_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f913,plain,
    ( spl0_143
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1747,plain,
    ( ~ c0_1(a1101)
    | c3_1(a1101)
    | ~ spl0_76
    | ~ spl0_143 ),
    inference(resolution,[],[f914,f588]) ).

fof(f588,plain,
    ( c1_1(a1101)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f914,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f2028,plain,
    ( spl0_128
    | ~ spl0_166
    | spl0_129
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2022,f996,f851,f1055,f846]) ).

fof(f846,plain,
    ( spl0_128
  <=> c2_1(a1098) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f996,plain,
    ( spl0_158
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2022,plain,
    ( ~ c0_1(a1098)
    | c2_1(a1098)
    | spl0_129
    | ~ spl0_158 ),
    inference(resolution,[],[f997,f853]) ).

fof(f853,plain,
    ( ~ c3_1(a1098)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f997,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f2027,plain,
    ( spl0_187
    | ~ spl0_74
    | spl0_123
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2020,f996,f821,f576,f1617]) ).

fof(f576,plain,
    ( spl0_74
  <=> c0_1(a1102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2020,plain,
    ( ~ c0_1(a1102)
    | c2_1(a1102)
    | spl0_123
    | ~ spl0_158 ),
    inference(resolution,[],[f997,f823]) ).

fof(f2023,plain,
    ( spl0_91
    | ~ spl0_49
    | spl0_92
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2011,f996,f666,f451,f661]) ).

fof(f451,plain,
    ( spl0_49
  <=> c0_1(a1147) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2011,plain,
    ( ~ c0_1(a1147)
    | c2_1(a1147)
    | spl0_92
    | ~ spl0_158 ),
    inference(resolution,[],[f997,f668]) ).

fof(f1988,plain,
    ( ~ spl0_76
    | ~ spl0_175
    | ~ spl0_77
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1979,f976,f591,f1141,f586]) ).

fof(f591,plain,
    ( spl0_77
  <=> c2_1(a1101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f976,plain,
    ( spl0_155
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1979,plain,
    ( ~ c0_1(a1101)
    | ~ c1_1(a1101)
    | ~ spl0_77
    | ~ spl0_155 ),
    inference(resolution,[],[f977,f593]) ).

fof(f593,plain,
    ( c2_1(a1101)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f977,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f1984,plain,
    ( ~ spl0_44
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1973,f976,f431,f421,f426]) ).

fof(f426,plain,
    ( spl0_44
  <=> c1_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f421,plain,
    ( spl0_43
  <=> c0_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f431,plain,
    ( spl0_45
  <=> c2_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1973,plain,
    ( ~ c0_1(a1111)
    | ~ c1_1(a1111)
    | ~ spl0_45
    | ~ spl0_155 ),
    inference(resolution,[],[f977,f433]) ).

fof(f433,plain,
    ( c2_1(a1111)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f1983,plain,
    ( ~ spl0_179
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1972,f976,f411,f406,f1226]) ).

fof(f1226,plain,
    ( spl0_179
  <=> c1_1(a1116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f406,plain,
    ( spl0_40
  <=> c0_1(a1116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f411,plain,
    ( spl0_41
  <=> c2_1(a1116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1972,plain,
    ( ~ c0_1(a1116)
    | ~ c1_1(a1116)
    | ~ spl0_41
    | ~ spl0_155 ),
    inference(resolution,[],[f977,f413]) ).

fof(f413,plain,
    ( c2_1(a1116)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f1942,plain,
    ( ~ spl0_59
    | spl0_178
    | ~ spl0_58
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1931,f972,f496,f1192,f501]) ).

fof(f496,plain,
    ( spl0_58
  <=> c1_1(a1121) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f972,plain,
    ( spl0_154
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1931,plain,
    ( c2_1(a1121)
    | ~ c3_1(a1121)
    | ~ spl0_58
    | ~ spl0_154 ),
    inference(resolution,[],[f973,f498]) ).

fof(f498,plain,
    ( c1_1(a1121)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f973,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f1941,plain,
    ( ~ spl0_54
    | spl0_99
    | ~ spl0_53
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1930,f972,f471,f701,f476]) ).

fof(f1930,plain,
    ( c2_1(a1127)
    | ~ c3_1(a1127)
    | ~ spl0_53
    | ~ spl0_154 ),
    inference(resolution,[],[f973,f473]) ).

fof(f473,plain,
    ( c1_1(a1127)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1922,plain,
    ( spl0_174
    | spl0_111
    | spl0_110
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1921,f940,f756,f761,f1136]) ).

fof(f1136,plain,
    ( spl0_174
  <=> c1_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f761,plain,
    ( spl0_111
  <=> c3_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f756,plain,
    ( spl0_110
  <=> c0_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1921,plain,
    ( c3_1(a1114)
    | c1_1(a1114)
    | spl0_110
    | ~ spl0_150 ),
    inference(resolution,[],[f758,f941]) ).

fof(f758,plain,
    ( ~ c0_1(a1114)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f1918,plain,
    ( spl0_104
    | ~ spl0_60
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1843,f1039,f896,f506,f726]) ).

fof(f1843,plain,
    ( ~ c1_1(a1119)
    | c0_1(a1119)
    | ~ spl0_139
    | ~ spl0_163 ),
    inference(resolution,[],[f1041,f897]) ).

fof(f1041,plain,
    ( c3_1(a1119)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f1917,plain,
    ( spl0_98
    | ~ spl0_177
    | spl0_96
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1916,f937,f686,f1185,f696]) ).

fof(f696,plain,
    ( spl0_98
  <=> c3_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1185,plain,
    ( spl0_177
  <=> c1_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f686,plain,
    ( spl0_96
  <=> c0_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1916,plain,
    ( ~ c1_1(a1130)
    | c3_1(a1130)
    | spl0_96
    | ~ spl0_149 ),
    inference(resolution,[],[f688,f938]) ).

fof(f688,plain,
    ( ~ c0_1(a1130)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f1910,plain,
    ( spl0_97
    | ~ spl0_177
    | spl0_98
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1856,f950,f696,f1185,f691]) ).

fof(f691,plain,
    ( spl0_97
  <=> c2_1(a1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1856,plain,
    ( ~ c1_1(a1130)
    | c2_1(a1130)
    | spl0_98
    | ~ spl0_151 ),
    inference(resolution,[],[f951,f698]) ).

fof(f698,plain,
    ( ~ c3_1(a1130)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1908,plain,
    ( spl0_132
    | ~ spl0_139
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1858,f950,f896,f866]) ).

fof(f866,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1858,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_151 ),
    inference(duplicate_literal_removal,[],[f1847]) ).

fof(f1847,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_151 ),
    inference(resolution,[],[f951,f897]) ).

fof(f1906,plain,
    ( spl0_111
    | ~ spl0_174
    | ~ spl0_63
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1551,f921,f521,f1136,f761]) ).

fof(f521,plain,
    ( spl0_63
  <=> c2_1(a1114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f921,plain,
    ( spl0_145
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1551,plain,
    ( ~ c1_1(a1114)
    | c3_1(a1114)
    | ~ spl0_63
    | ~ spl0_145 ),
    inference(resolution,[],[f922,f523]) ).

fof(f523,plain,
    ( c2_1(a1114)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f922,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f1903,plain,
    ( spl0_120
    | ~ spl0_71
    | ~ spl0_153
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f1884,f1386,f966,f561,f806]) ).

fof(f561,plain,
    ( spl0_71
  <=> c0_1(a1104) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f966,plain,
    ( spl0_153
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1884,plain,
    ( ~ c0_1(a1104)
    | c2_1(a1104)
    | ~ spl0_153
    | ~ spl0_185 ),
    inference(resolution,[],[f967,f1388]) ).

fof(f1388,plain,
    ( c3_1(a1104)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f967,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f1901,plain,
    ( spl0_112
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1881,f966,f531,f526,f766]) ).

fof(f766,plain,
    ( spl0_112
  <=> c2_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f526,plain,
    ( spl0_64
  <=> c0_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f531,plain,
    ( spl0_65
  <=> c3_1(a1113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1881,plain,
    ( ~ c0_1(a1113)
    | c2_1(a1113)
    | ~ spl0_65
    | ~ spl0_153 ),
    inference(resolution,[],[f967,f533]) ).

fof(f533,plain,
    ( c3_1(a1113)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1899,plain,
    ( spl0_99
    | ~ spl0_168
    | ~ spl0_54
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1876,f966,f476,f1076,f701]) ).

fof(f1876,plain,
    ( ~ c0_1(a1127)
    | c2_1(a1127)
    | ~ spl0_54
    | ~ spl0_153 ),
    inference(resolution,[],[f967,f478]) ).

fof(f1835,plain,
    ( spl0_177
    | spl0_98
    | spl0_96
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1824,f940,f686,f696,f1185]) ).

fof(f1824,plain,
    ( c3_1(a1130)
    | c1_1(a1130)
    | spl0_96
    | ~ spl0_150 ),
    inference(resolution,[],[f941,f688]) ).

fof(f1834,plain,
    ( spl0_86
    | spl0_165
    | spl0_85
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1823,f940,f631,f1049,f636]) ).

fof(f631,plain,
    ( spl0_85
  <=> c0_1(a1180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1823,plain,
    ( c3_1(a1180)
    | c1_1(a1180)
    | spl0_85
    | ~ spl0_150 ),
    inference(resolution,[],[f941,f633]) ).

fof(f633,plain,
    ( ~ c0_1(a1180)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f1833,plain,
    ( spl0_83
    | spl0_84
    | spl0_82
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1822,f940,f616,f626,f621]) ).

fof(f621,plain,
    ( spl0_83
  <=> c1_1(a1200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f626,plain,
    ( spl0_84
  <=> c3_1(a1200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f616,plain,
    ( spl0_82
  <=> c0_1(a1200) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1822,plain,
    ( c3_1(a1200)
    | c1_1(a1200)
    | spl0_82
    | ~ spl0_150 ),
    inference(resolution,[],[f941,f618]) ).

fof(f618,plain,
    ( ~ c0_1(a1200)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f1829,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_150
    | spl0_180 ),
    inference(avatar_split_clause,[],[f1818,f1232,f940,f751,f746]) ).

fof(f746,plain,
    ( spl0_108
  <=> c1_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f751,plain,
    ( spl0_109
  <=> c3_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1232,plain,
    ( spl0_180
  <=> c0_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1818,plain,
    ( c3_1(a1115)
    | c1_1(a1115)
    | ~ spl0_150
    | spl0_180 ),
    inference(resolution,[],[f941,f1234]) ).

fof(f1234,plain,
    ( ~ c0_1(a1115)
    | spl0_180 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1800,plain,
    ( spl0_86
    | spl0_85
    | spl0_87
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1787,f933,f641,f631,f636]) ).

fof(f933,plain,
    ( spl0_148
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1787,plain,
    ( c0_1(a1180)
    | c1_1(a1180)
    | spl0_87
    | ~ spl0_148 ),
    inference(resolution,[],[f934,f643]) ).

fof(f934,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f1798,plain,
    ( spl0_170
    | spl0_121
    | spl0_122
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1783,f933,f816,f811,f1100]) ).

fof(f1100,plain,
    ( spl0_170
  <=> c1_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f811,plain,
    ( spl0_121
  <=> c0_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f816,plain,
    ( spl0_122
  <=> c2_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1783,plain,
    ( c0_1(a1103)
    | c1_1(a1103)
    | spl0_122
    | ~ spl0_148 ),
    inference(resolution,[],[f934,f818]) ).

fof(f818,plain,
    ( ~ c2_1(a1103)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f1761,plain,
    ( ~ spl0_42
    | ~ spl0_179
    | ~ spl0_41
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1754,f929,f411,f1226,f416]) ).

fof(f416,plain,
    ( spl0_42
  <=> c3_1(a1116) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f929,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1754,plain,
    ( ~ c1_1(a1116)
    | ~ c3_1(a1116)
    | ~ spl0_41
    | ~ spl0_147 ),
    inference(resolution,[],[f930,f413]) ).

fof(f930,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f1760,plain,
    ( ~ spl0_39
    | ~ spl0_37
    | ~ spl0_38
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1753,f929,f396,f391,f401]) ).

fof(f391,plain,
    ( spl0_37
  <=> c1_1(a1136) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1753,plain,
    ( ~ c1_1(a1136)
    | ~ c3_1(a1136)
    | ~ spl0_38
    | ~ spl0_147 ),
    inference(resolution,[],[f930,f398]) ).

fof(f398,plain,
    ( c2_1(a1136)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1679,plain,
    ( spl0_176
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1528,f917,f486,f481,f1149]) ).

fof(f1149,plain,
    ( spl0_176
  <=> c3_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f481,plain,
    ( spl0_55
  <=> c0_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f486,plain,
    ( spl0_56
  <=> c2_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f917,plain,
    ( spl0_144
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1528,plain,
    ( ~ c0_1(a1125)
    | c3_1(a1125)
    | ~ spl0_56
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f488]) ).

fof(f488,plain,
    ( c2_1(a1125)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f918,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f1676,plain,
    ( spl0_85
    | spl0_87
    | ~ spl0_133
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1671,f1049,f871,f641,f631]) ).

fof(f1671,plain,
    ( c2_1(a1180)
    | c0_1(a1180)
    | ~ spl0_133
    | ~ spl0_165 ),
    inference(resolution,[],[f872,f1051]) ).

fof(f1051,plain,
    ( c3_1(a1180)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1675,plain,
    ( spl0_121
    | spl0_122
    | ~ spl0_73
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1669,f871,f571,f816,f811]) ).

fof(f571,plain,
    ( spl0_73
  <=> c3_1(a1103) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1669,plain,
    ( c2_1(a1103)
    | c0_1(a1103)
    | ~ spl0_73
    | ~ spl0_133 ),
    inference(resolution,[],[f872,f573]) ).

fof(f573,plain,
    ( c3_1(a1103)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1674,plain,
    ( spl0_104
    | spl0_105
    | ~ spl0_133
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1662,f1039,f871,f731,f726]) ).

fof(f731,plain,
    ( spl0_105
  <=> c2_1(a1119) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1662,plain,
    ( c2_1(a1119)
    | c0_1(a1119)
    | ~ spl0_133
    | ~ spl0_163 ),
    inference(resolution,[],[f872,f1041]) ).

fof(f1650,plain,
    ( spl0_123
    | ~ spl0_75
    | ~ spl0_145
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f1647,f1617,f921,f581,f821]) ).

fof(f1647,plain,
    ( ~ c1_1(a1102)
    | c3_1(a1102)
    | ~ spl0_145
    | ~ spl0_187 ),
    inference(resolution,[],[f1619,f922]) ).

fof(f1619,plain,
    ( c2_1(a1102)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1617]) ).

fof(f1625,plain,
    ( spl0_121
    | ~ spl0_170
    | ~ spl0_73
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1322,f896,f571,f1100,f811]) ).

fof(f1322,plain,
    ( ~ c1_1(a1103)
    | c0_1(a1103)
    | ~ spl0_73
    | ~ spl0_139 ),
    inference(resolution,[],[f897,f573]) ).

fof(f1624,plain,
    ( spl0_92
    | spl0_182
    | spl0_91
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1281,f861,f661,f1257,f666]) ).

fof(f1281,plain,
    ( c1_1(a1147)
    | c3_1(a1147)
    | spl0_91
    | ~ spl0_131 ),
    inference(resolution,[],[f862,f663]) ).

fof(f663,plain,
    ( ~ c2_1(a1147)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f1622,plain,
    ( spl0_137
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1538,f917,f861,f887]) ).

fof(f887,plain,
    ( spl0_137
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1538,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(duplicate_literal_removal,[],[f1521]) ).

fof(f1521,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_131
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f862]) ).

fof(f1614,plain,
    ( spl0_172
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1315,f896,f401,f391,f1126]) ).

fof(f1315,plain,
    ( ~ c1_1(a1136)
    | c0_1(a1136)
    | ~ spl0_39
    | ~ spl0_139 ),
    inference(resolution,[],[f897,f403]) ).

fof(f403,plain,
    ( c3_1(a1136)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f1613,plain,
    ( ~ spl0_70
    | spl0_119
    | ~ spl0_142
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1598,f1025,f908,f801,f556]) ).

fof(f556,plain,
    ( spl0_70
  <=> c3_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f801,plain,
    ( spl0_119
  <=> c1_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f908,plain,
    ( spl0_142
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1025,plain,
    ( spl0_162
  <=> c2_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1598,plain,
    ( c1_1(a1105)
    | ~ c3_1(a1105)
    | ~ spl0_142
    | ~ spl0_162 ),
    inference(resolution,[],[f909,f1027]) ).

fof(f1027,plain,
    ( c2_1(a1105)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f909,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f1607,plain,
    ( ~ spl0_176
    | spl0_100
    | ~ spl0_56
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1592,f908,f486,f706,f1149]) ).

fof(f706,plain,
    ( spl0_100
  <=> c1_1(a1125) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1592,plain,
    ( c1_1(a1125)
    | ~ c3_1(a1125)
    | ~ spl0_56
    | ~ spl0_142 ),
    inference(resolution,[],[f909,f488]) ).

fof(f1604,plain,
    ( ~ spl0_186
    | spl0_89
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1589,f908,f436,f651,f1461]) ).

fof(f1589,plain,
    ( c1_1(a1172)
    | ~ c3_1(a1172)
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(resolution,[],[f909,f438]) ).

fof(f438,plain,
    ( c2_1(a1172)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f1582,plain,
    ( ~ spl0_70
    | ~ spl0_69
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1571,f1025,f925,f551,f556]) ).

fof(f551,plain,
    ( spl0_69
  <=> c0_1(a1105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1571,plain,
    ( ~ c0_1(a1105)
    | ~ c3_1(a1105)
    | ~ spl0_146
    | ~ spl0_162 ),
    inference(resolution,[],[f926,f1027]) ).

fof(f1577,plain,
    ( ~ spl0_176
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1565,f925,f486,f481,f1149]) ).

fof(f1565,plain,
    ( ~ c0_1(a1125)
    | ~ c3_1(a1125)
    | ~ spl0_56
    | ~ spl0_146 ),
    inference(resolution,[],[f926,f488]) ).

fof(f1576,plain,
    ( ~ spl0_183
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1561,f925,f431,f421,f1308]) ).

fof(f1308,plain,
    ( spl0_183
  <=> c3_1(a1111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1561,plain,
    ( ~ c0_1(a1111)
    | ~ c3_1(a1111)
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(resolution,[],[f926,f433]) ).

fof(f1575,plain,
    ( ~ spl0_42
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1560,f925,f411,f406,f416]) ).

fof(f1560,plain,
    ( ~ c0_1(a1116)
    | ~ c3_1(a1116)
    | ~ spl0_41
    | ~ spl0_146 ),
    inference(resolution,[],[f926,f413]) ).

fof(f1574,plain,
    ( ~ spl0_39
    | ~ spl0_172
    | ~ spl0_38
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1559,f925,f396,f1126,f401]) ).

fof(f1559,plain,
    ( ~ c0_1(a1136)
    | ~ c3_1(a1136)
    | ~ spl0_38
    | ~ spl0_146 ),
    inference(resolution,[],[f926,f398]) ).

fof(f1491,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_67
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1489,f887,f541,f786,f781]) ).

fof(f781,plain,
    ( spl0_115
  <=> c1_1(a1108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f786,plain,
    ( spl0_116
  <=> c3_1(a1108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f541,plain,
    ( spl0_67
  <=> c0_1(a1108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1489,plain,
    ( c3_1(a1108)
    | c1_1(a1108)
    | ~ spl0_67
    | ~ spl0_137 ),
    inference(resolution,[],[f543,f888]) ).

fof(f888,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f543,plain,
    ( c0_1(a1108)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f1488,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_137
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1486,f1232,f887,f751,f746]) ).

fof(f1486,plain,
    ( c3_1(a1115)
    | c1_1(a1115)
    | ~ spl0_137
    | ~ spl0_180 ),
    inference(resolution,[],[f1233,f888]) ).

fof(f1233,plain,
    ( c0_1(a1115)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1468,plain,
    ( spl0_103
    | ~ spl0_58
    | ~ spl0_59
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1466,f896,f501,f496,f721]) ).

fof(f1466,plain,
    ( ~ c1_1(a1121)
    | c0_1(a1121)
    | ~ spl0_59
    | ~ spl0_139 ),
    inference(resolution,[],[f503,f897]) ).

fof(f1464,plain,
    ( spl0_88
    | spl0_186
    | ~ spl0_46
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1420,f875,f436,f1461,f646]) ).

fof(f875,plain,
    ( spl0_134
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1420,plain,
    ( c3_1(a1172)
    | c0_1(a1172)
    | ~ spl0_46
    | ~ spl0_134 ),
    inference(resolution,[],[f876,f438]) ).

fof(f876,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1457,plain,
    ( spl0_180
    | spl0_109
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1425,f875,f516,f751,f1232]) ).

fof(f516,plain,
    ( spl0_62
  <=> c2_1(a1115) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1425,plain,
    ( c3_1(a1115)
    | c0_1(a1115)
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(resolution,[],[f876,f518]) ).

fof(f518,plain,
    ( c2_1(a1115)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1392,plain,
    ( spl0_125
    | ~ spl0_78
    | ~ spl0_143
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1376,f1110,f913,f596,f831]) ).

fof(f831,plain,
    ( spl0_125
  <=> c3_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f596,plain,
    ( spl0_78
  <=> c0_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1110,plain,
    ( spl0_171
  <=> c1_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1376,plain,
    ( ~ c0_1(a1100)
    | c3_1(a1100)
    | ~ spl0_143
    | ~ spl0_171 ),
    inference(resolution,[],[f914,f1112]) ).

fof(f1112,plain,
    ( c1_1(a1100)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1390,plain,
    ( spl0_123
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1374,f913,f581,f576,f821]) ).

fof(f1374,plain,
    ( ~ c0_1(a1102)
    | c3_1(a1102)
    | ~ spl0_75
    | ~ spl0_143 ),
    inference(resolution,[],[f914,f583]) ).

fof(f583,plain,
    ( c1_1(a1102)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f1382,plain,
    ( spl0_92
    | ~ spl0_49
    | ~ spl0_143
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1367,f1257,f913,f451,f666]) ).

fof(f1367,plain,
    ( ~ c0_1(a1147)
    | c3_1(a1147)
    | ~ spl0_143
    | ~ spl0_182 ),
    inference(resolution,[],[f914,f1259]) ).

fof(f1259,plain,
    ( c1_1(a1147)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1381,plain,
    ( spl0_183
    | ~ spl0_43
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1366,f913,f426,f421,f1308]) ).

fof(f1366,plain,
    ( ~ c0_1(a1111)
    | c3_1(a1111)
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(resolution,[],[f914,f428]) ).

fof(f428,plain,
    ( c1_1(a1111)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f1352,plain,
    ( spl0_125
    | ~ spl0_171
    | ~ spl0_79
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1343,f921,f601,f1110,f831]) ).

fof(f601,plain,
    ( spl0_79
  <=> c2_1(a1100) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1343,plain,
    ( ~ c1_1(a1100)
    | c3_1(a1100)
    | ~ spl0_79
    | ~ spl0_145 ),
    inference(resolution,[],[f922,f603]) ).

fof(f603,plain,
    ( c2_1(a1100)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f1351,plain,
    ( spl0_124
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1342,f921,f591,f586,f826]) ).

fof(f1342,plain,
    ( ~ c1_1(a1101)
    | c3_1(a1101)
    | ~ spl0_77
    | ~ spl0_145 ),
    inference(resolution,[],[f922,f593]) ).

fof(f1348,plain,
    ( spl0_183
    | ~ spl0_44
    | ~ spl0_45
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1332,f921,f431,f426,f1308]) ).

fof(f1332,plain,
    ( ~ c1_1(a1111)
    | c3_1(a1111)
    | ~ spl0_45
    | ~ spl0_145 ),
    inference(resolution,[],[f922,f433]) ).

fof(f1314,plain,
    ( spl0_125
    | ~ spl0_78
    | ~ spl0_79
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1302,f917,f601,f596,f831]) ).

fof(f1302,plain,
    ( ~ c0_1(a1100)
    | c3_1(a1100)
    | ~ spl0_79
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f603]) ).

fof(f1313,plain,
    ( spl0_124
    | ~ spl0_175
    | ~ spl0_77
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1301,f917,f591,f1141,f826]) ).

fof(f1301,plain,
    ( ~ c0_1(a1101)
    | c3_1(a1101)
    | ~ spl0_77
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f593]) ).

fof(f1312,plain,
    ( spl0_109
    | ~ spl0_180
    | ~ spl0_62
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1297,f917,f516,f1232,f751]) ).

fof(f1297,plain,
    ( ~ c0_1(a1115)
    | c3_1(a1115)
    | ~ spl0_62
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f518]) ).

fof(f1311,plain,
    ( spl0_183
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1291,f917,f431,f421,f1308]) ).

fof(f1291,plain,
    ( ~ c0_1(a1111)
    | c3_1(a1111)
    | ~ spl0_45
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f433]) ).

fof(f1279,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_132
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1278,f1185,f866,f691,f686]) ).

fof(f1278,plain,
    ( c2_1(a1130)
    | c0_1(a1130)
    | ~ spl0_132
    | ~ spl0_177 ),
    inference(resolution,[],[f1187,f867]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1187,plain,
    ( c1_1(a1130)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1273,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_136
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1272,f1049,f883,f641,f636]) ).

fof(f883,plain,
    ( spl0_136
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1272,plain,
    ( c2_1(a1180)
    | c1_1(a1180)
    | ~ spl0_136
    | ~ spl0_165 ),
    inference(resolution,[],[f1051,f884]) ).

fof(f884,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f1261,plain,
    ( spl0_182
    | spl0_91
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1255,f879,f451,f661,f1257]) ).

fof(f1255,plain,
    ( c2_1(a1147)
    | c1_1(a1147)
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(resolution,[],[f453,f880]) ).

fof(f453,plain,
    ( c0_1(a1147)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f1253,plain,
    ( spl0_119
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1248,f904,f556,f551,f801]) ).

fof(f904,plain,
    ( spl0_141
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1248,plain,
    ( ~ c0_1(a1105)
    | c1_1(a1105)
    | ~ spl0_70
    | ~ spl0_141 ),
    inference(resolution,[],[f905,f558]) ).

fof(f558,plain,
    ( c3_1(a1105)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f1251,plain,
    ( spl0_100
    | ~ spl0_55
    | ~ spl0_141
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1246,f1149,f904,f481,f706]) ).

fof(f1246,plain,
    ( ~ c0_1(a1125)
    | c1_1(a1125)
    | ~ spl0_141
    | ~ spl0_176 ),
    inference(resolution,[],[f905,f1151]) ).

fof(f1151,plain,
    ( c3_1(a1125)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f1250,plain,
    ( spl0_179
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1243,f904,f416,f406,f1226]) ).

fof(f1243,plain,
    ( ~ c0_1(a1116)
    | c1_1(a1116)
    | ~ spl0_42
    | ~ spl0_141 ),
    inference(resolution,[],[f905,f418]) ).

fof(f418,plain,
    ( c3_1(a1116)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f1241,plain,
    ( spl0_119
    | ~ spl0_69
    | ~ spl0_140
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1221,f1025,f900,f551,f801]) ).

fof(f900,plain,
    ( spl0_140
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1221,plain,
    ( ~ c0_1(a1105)
    | c1_1(a1105)
    | ~ spl0_140
    | ~ spl0_162 ),
    inference(resolution,[],[f901,f1027]) ).

fof(f901,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f1235,plain,
    ( spl0_108
    | ~ spl0_180
    | ~ spl0_62
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1218,f900,f516,f1232,f746]) ).

fof(f1218,plain,
    ( ~ c0_1(a1115)
    | c1_1(a1115)
    | ~ spl0_62
    | ~ spl0_140 ),
    inference(resolution,[],[f901,f518]) ).

fof(f1230,plain,
    ( spl0_100
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1217,f900,f486,f481,f706]) ).

fof(f1217,plain,
    ( ~ c0_1(a1125)
    | c1_1(a1125)
    | ~ spl0_56
    | ~ spl0_140 ),
    inference(resolution,[],[f901,f488]) ).

fof(f1229,plain,
    ( spl0_179
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1212,f900,f411,f406,f1226]) ).

fof(f1212,plain,
    ( ~ c0_1(a1116)
    | c1_1(a1116)
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(resolution,[],[f901,f413]) ).

fof(f1210,plain,
    ( spl0_90
    | ~ spl0_173
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1203,f896,f446,f1131,f656]) ).

fof(f1203,plain,
    ( ~ c1_1(a1149)
    | c0_1(a1149)
    | ~ spl0_48
    | ~ spl0_139 ),
    inference(resolution,[],[f897,f448]) ).

fof(f448,plain,
    ( c3_1(a1149)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1195,plain,
    ( spl0_103
    | spl0_178
    | ~ spl0_58
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1190,f866,f496,f1192,f721]) ).

fof(f1190,plain,
    ( c2_1(a1121)
    | c0_1(a1121)
    | ~ spl0_58
    | ~ spl0_132 ),
    inference(resolution,[],[f498,f867]) ).

fof(f1189,plain,
    ( spl0_129
    | spl0_127
    | spl0_128
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1180,f861,f846,f841,f851]) ).

fof(f1180,plain,
    ( c1_1(a1098)
    | c3_1(a1098)
    | spl0_128
    | ~ spl0_131 ),
    inference(resolution,[],[f862,f848]) ).

fof(f848,plain,
    ( ~ c2_1(a1098)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f1169,plain,
    ( spl0_121
    | spl0_122
    | ~ spl0_132
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1164,f1100,f866,f816,f811]) ).

fof(f1164,plain,
    ( c2_1(a1103)
    | c0_1(a1103)
    | ~ spl0_132
    | ~ spl0_170 ),
    inference(resolution,[],[f867,f1102]) ).

fof(f1102,plain,
    ( c1_1(a1103)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1152,plain,
    ( spl0_100
    | spl0_176
    | ~ spl0_55
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1146,f887,f481,f1149,f706]) ).

fof(f1146,plain,
    ( c3_1(a1125)
    | c1_1(a1125)
    | ~ spl0_55
    | ~ spl0_137 ),
    inference(resolution,[],[f483,f888]) ).

fof(f483,plain,
    ( c0_1(a1125)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1145,plain,
    ( spl0_126
    | ~ spl0_80
    | ~ spl0_81
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1124,f891,f611,f606,f836]) ).

fof(f836,plain,
    ( spl0_126
  <=> c0_1(a1099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f606,plain,
    ( spl0_80
  <=> c1_1(a1099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f611,plain,
    ( spl0_81
  <=> c2_1(a1099) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f891,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1124,plain,
    ( ~ c1_1(a1099)
    | c0_1(a1099)
    | ~ spl0_81
    | ~ spl0_138 ),
    inference(resolution,[],[f892,f613]) ).

fof(f613,plain,
    ( c2_1(a1099)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f892,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f1144,plain,
    ( spl0_175
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1122,f891,f591,f586,f1141]) ).

fof(f1122,plain,
    ( ~ c1_1(a1101)
    | c0_1(a1101)
    | ~ spl0_77
    | ~ spl0_138 ),
    inference(resolution,[],[f892,f593]) ).

fof(f1139,plain,
    ( spl0_110
    | ~ spl0_174
    | ~ spl0_63
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1120,f891,f521,f1136,f756]) ).

fof(f1120,plain,
    ( ~ c1_1(a1114)
    | c0_1(a1114)
    | ~ spl0_63
    | ~ spl0_138 ),
    inference(resolution,[],[f892,f523]) ).

fof(f1134,plain,
    ( spl0_90
    | ~ spl0_173
    | ~ spl0_47
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1118,f891,f441,f1131,f656]) ).

fof(f1118,plain,
    ( ~ c1_1(a1149)
    | c0_1(a1149)
    | ~ spl0_47
    | ~ spl0_138 ),
    inference(resolution,[],[f892,f443]) ).

fof(f443,plain,
    ( c2_1(a1149)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1129,plain,
    ( spl0_172
    | ~ spl0_37
    | ~ spl0_38
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1114,f891,f396,f391,f1126]) ).

fof(f1114,plain,
    ( ~ c1_1(a1136)
    | c0_1(a1136)
    | ~ spl0_38
    | ~ spl0_138 ),
    inference(resolution,[],[f892,f398]) ).

fof(f1113,plain,
    ( spl0_171
    | spl0_125
    | ~ spl0_78
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1108,f887,f596,f831,f1110]) ).

fof(f1108,plain,
    ( c3_1(a1100)
    | c1_1(a1100)
    | ~ spl0_78
    | ~ spl0_137 ),
    inference(resolution,[],[f888,f598]) ).

fof(f598,plain,
    ( c0_1(a1100)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1103,plain,
    ( spl0_170
    | spl0_122
    | ~ spl0_73
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1090,f883,f571,f816,f1100]) ).

fof(f1090,plain,
    ( c2_1(a1103)
    | c1_1(a1103)
    | ~ spl0_73
    | ~ spl0_136 ),
    inference(resolution,[],[f884,f573]) ).

fof(f1098,plain,
    ( spl0_119
    | spl0_162
    | ~ spl0_70
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1089,f883,f556,f1025,f801]) ).

fof(f1089,plain,
    ( c2_1(a1105)
    | c1_1(a1105)
    | ~ spl0_70
    | ~ spl0_136 ),
    inference(resolution,[],[f884,f558]) ).

fof(f1080,plain,
    ( spl0_104
    | spl0_105
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1064,f866,f506,f731,f726]) ).

fof(f1064,plain,
    ( c2_1(a1119)
    | c0_1(a1119)
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(resolution,[],[f867,f508]) ).

fof(f508,plain,
    ( c1_1(a1119)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1053,plain,
    ( spl0_98
    | spl0_96
    | spl0_97
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1036,f856,f691,f686,f696]) ).

fof(f856,plain,
    ( spl0_130
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1036,plain,
    ( c0_1(a1130)
    | c3_1(a1130)
    | spl0_97
    | ~ spl0_130 ),
    inference(resolution,[],[f857,f693]) ).

fof(f693,plain,
    ( ~ c2_1(a1130)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f857,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f1052,plain,
    ( spl0_165
    | spl0_85
    | spl0_87
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1035,f856,f641,f631,f1049]) ).

fof(f1035,plain,
    ( c0_1(a1180)
    | c3_1(a1180)
    | spl0_87
    | ~ spl0_130 ),
    inference(resolution,[],[f857,f643]) ).

fof(f1028,plain,
    ( spl0_119
    | spl0_162
    | ~ spl0_69
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1011,f879,f551,f1025,f801]) ).

fof(f1011,plain,
    ( c2_1(a1105)
    | c1_1(a1105)
    | ~ spl0_69
    | ~ spl0_135 ),
    inference(resolution,[],[f880,f553]) ).

fof(f553,plain,
    ( c0_1(a1105)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f1006,plain,
    ( spl0_147
    | ~ spl0_4
    | spl0_143
    | spl0_139 ),
    inference(avatar_split_clause,[],[f200,f896,f913,f215,f929]) ).

fof(f215,plain,
    ( spl0_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f200,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f1004,plain,
    ( spl0_155
    | ~ spl0_4
    | spl0_137
    | spl0_138 ),
    inference(avatar_split_clause,[],[f198,f891,f887,f215,f976]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f1003,plain,
    ( spl0_146
    | ~ spl0_4
    | spl0_141
    | spl0_157 ),
    inference(avatar_split_clause,[],[f197,f992,f904,f215,f925]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f998,plain,
    ( spl0_146
    | ~ spl0_4
    | spl0_158
    | spl0_149 ),
    inference(avatar_split_clause,[],[f195,f937,f996,f215,f925]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f994,plain,
    ( spl0_147
    | ~ spl0_4
    | spl0_135
    | spl0_157 ),
    inference(avatar_split_clause,[],[f194,f992,f879,f215,f929]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f990,plain,
    ( ~ spl0_4
    | spl0_143
    | spl0_139
    | spl0_150 ),
    inference(avatar_split_clause,[],[f193,f940,f896,f913,f215]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f989,plain,
    ( spl0_146
    | ~ spl0_4
    | spl0_154
    | spl0_31 ),
    inference(avatar_split_clause,[],[f192,f352,f972,f215,f925]) ).

fof(f352,plain,
    ( spl0_31
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( hskp2
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f984,plain,
    ( spl0_146
    | ~ spl0_4
    | spl0_142
    | spl0_31 ),
    inference(avatar_split_clause,[],[f190,f352,f908,f215,f925]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f983,plain,
    ( spl0_146
    | ~ spl0_4
    | spl0_152
    | spl0_26 ),
    inference(avatar_split_clause,[],[f189,f327,f957,f215,f925]) ).

fof(f327,plain,
    ( spl0_26
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( hskp7
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f982,plain,
    ( ~ spl0_4
    | spl0_145
    | spl0_143
    | spl0_28 ),
    inference(avatar_split_clause,[],[f188,f337,f913,f921,f215]) ).

fof(f337,plain,
    ( spl0_28
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f981,plain,
    ( ~ spl0_4
    | spl0_145
    | spl0_140
    | spl0_11 ),
    inference(avatar_split_clause,[],[f187,f250,f900,f921,f215]) ).

fof(f250,plain,
    ( spl0_11
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( hskp24
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f980,plain,
    ( ~ spl0_4
    | spl0_153
    | spl0_140
    | spl0_14 ),
    inference(avatar_split_clause,[],[f186,f266,f900,f966,f215]) ).

fof(f266,plain,
    ( spl0_14
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( hskp20
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f979,plain,
    ( ~ spl0_4
    | spl0_153
    | spl0_140
    | spl0_26 ),
    inference(avatar_split_clause,[],[f185,f327,f900,f966,f215]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f978,plain,
    ( spl0_155
    | ~ spl0_4
    | spl0_137
    | spl0_1 ),
    inference(avatar_split_clause,[],[f184,f202,f887,f215,f976]) ).

fof(f202,plain,
    ( spl0_1
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( hskp23
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f974,plain,
    ( ~ spl0_4
    | spl0_154
    | spl0_152
    | spl0_13 ),
    inference(avatar_split_clause,[],[f183,f261,f957,f972,f215]) ).

fof(f261,plain,
    ( spl0_13
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( hskp21
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f970,plain,
    ( ~ spl0_4
    | spl0_144
    | spl0_139
    | spl0_14 ),
    inference(avatar_split_clause,[],[f182,f266,f896,f917,f215]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( hskp20
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f969,plain,
    ( ~ spl0_4
    | spl0_144
    | spl0_139
    | spl0_19 ),
    inference(avatar_split_clause,[],[f181,f291,f896,f917,f215]) ).

fof(f291,plain,
    ( spl0_19
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( hskp15
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f968,plain,
    ( ~ spl0_4
    | spl0_153
    | spl0_139
    | spl0_18 ),
    inference(avatar_split_clause,[],[f180,f286,f896,f966,f215]) ).

fof(f286,plain,
    ( spl0_18
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( hskp16
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f962,plain,
    ( ~ spl0_4
    | spl0_140
    | spl0_136
    | spl0_24 ),
    inference(avatar_split_clause,[],[f177,f317,f883,f900,f215]) ).

fof(f317,plain,
    ( spl0_24
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( hskp9
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f961,plain,
    ( ~ spl0_4
    | spl0_135
    | spl0_152
    | spl0_29 ),
    inference(avatar_split_clause,[],[f176,f342,f957,f879,f215]) ).

fof(f342,plain,
    ( spl0_29
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f960,plain,
    ( ~ spl0_4
    | spl0_137
    | spl0_138
    | spl0_6 ),
    inference(avatar_split_clause,[],[f175,f225,f891,f887,f215]) ).

fof(f225,plain,
    ( spl0_6
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( hskp29
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f959,plain,
    ( ~ spl0_4
    | spl0_152
    | spl0_132
    | spl0_30 ),
    inference(avatar_split_clause,[],[f174,f347,f866,f957,f215]) ).

fof(f347,plain,
    ( spl0_30
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( hskp3
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f955,plain,
    ( ~ spl0_4
    | spl0_138
    | spl0_132
    | spl0_24 ),
    inference(avatar_split_clause,[],[f173,f317,f866,f891,f215]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f954,plain,
    ( ~ spl0_4
    | spl0_151
    | spl0_136
    | spl0_22 ),
    inference(avatar_split_clause,[],[f172,f307,f883,f950,f215]) ).

fof(f307,plain,
    ( spl0_22
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f953,plain,
    ( ~ spl0_4
    | spl0_141
    | spl0_131
    | spl0_5 ),
    inference(avatar_split_clause,[],[f171,f220,f861,f904,f215]) ).

fof(f220,plain,
    ( spl0_5
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( hskp30
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f952,plain,
    ( ~ spl0_4
    | spl0_151
    | spl0_133
    | spl0_6 ),
    inference(avatar_split_clause,[],[f170,f225,f871,f950,f215]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( hskp29
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f948,plain,
    ( ~ spl0_4
    | spl0_136
    | spl0_133
    | spl0_20 ),
    inference(avatar_split_clause,[],[f169,f297,f871,f883,f215]) ).

fof(f297,plain,
    ( spl0_20
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( hskp13
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f947,plain,
    ( ~ spl0_4
    | spl0_145
    | spl0_130
    | spl0_28 ),
    inference(avatar_split_clause,[],[f168,f337,f856,f921,f215]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f946,plain,
    ( ~ spl0_4
    | spl0_143
    | spl0_130
    | spl0_29 ),
    inference(avatar_split_clause,[],[f167,f342,f856,f913,f215]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( hskp4
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f945,plain,
    ( ~ spl0_4
    | spl0_144
    | spl0_150
    | spl0_30 ),
    inference(avatar_split_clause,[],[f166,f347,f940,f917,f215]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( hskp3
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f944,plain,
    ( ~ spl0_4
    | spl0_142
    | spl0_150
    | spl0_31 ),
    inference(avatar_split_clause,[],[f165,f352,f940,f908,f215]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f943,plain,
    ( ~ spl0_4
    | spl0_131
    | spl0_149
    | spl0_19 ),
    inference(avatar_split_clause,[],[f164,f291,f937,f861,f215]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( hskp15
      | c3_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f942,plain,
    ( ~ spl0_4
    | spl0_149
    | spl0_150
    | spl0_32 ),
    inference(avatar_split_clause,[],[f163,f357,f940,f937,f215]) ).

fof(f357,plain,
    ( spl0_32
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f935,plain,
    ( ~ spl0_4
    | spl0_133
    | spl0_148
    | spl0_33 ),
    inference(avatar_split_clause,[],[f162,f362,f933,f871,f215]) ).

fof(f362,plain,
    ( spl0_33
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f927,plain,
    ( spl0_146
    | ~ spl0_4
    | spl0_16
    | spl0_10 ),
    inference(avatar_split_clause,[],[f160,f245,f276,f215,f925]) ).

fof(f276,plain,
    ( spl0_16
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f245,plain,
    ( spl0_10
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f160,axiom,
    ! [X0] :
      ( hskp25
      | hskp18
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f923,plain,
    ( ~ spl0_4
    | spl0_145
    | spl0_5
    | spl0_13 ),
    inference(avatar_split_clause,[],[f159,f261,f220,f921,f215]) ).

fof(f159,axiom,
    ! [X0] :
      ( hskp21
      | hskp30
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f919,plain,
    ( ~ spl0_4
    | spl0_144
    | spl0_24
    | spl0_20 ),
    inference(avatar_split_clause,[],[f158,f297,f317,f917,f215]) ).

fof(f158,axiom,
    ! [X0] :
      ( hskp13
      | hskp9
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f915,plain,
    ( ~ spl0_4
    | spl0_143
    | spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f157,f291,f276,f913,f215]) ).

fof(f157,axiom,
    ! [X0] :
      ( hskp15
      | hskp18
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f906,plain,
    ( ~ spl0_4
    | spl0_141
    | spl0_16
    | spl0_5 ),
    inference(avatar_split_clause,[],[f154,f220,f276,f904,f215]) ).

fof(f154,axiom,
    ! [X0] :
      ( hskp30
      | hskp18
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f894,plain,
    ( ~ spl0_4
    | spl0_138
    | spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f151,f297,f276,f891,f215]) ).

fof(f151,axiom,
    ! [X0] :
      ( hskp13
      | hskp18
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f893,plain,
    ( ~ spl0_4
    | spl0_138
    | spl0_7
    | spl0_17 ),
    inference(avatar_split_clause,[],[f150,f281,f230,f891,f215]) ).

fof(f230,plain,
    ( spl0_7
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f281,plain,
    ( spl0_17
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp17
      | hskp28
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f885,plain,
    ( ~ spl0_4
    | spl0_136
    | spl0_12
    | spl0_33 ),
    inference(avatar_split_clause,[],[f148,f362,f256,f883,f215]) ).

fof(f256,plain,
    ( spl0_12
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp0
      | hskp22
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f877,plain,
    ( ~ spl0_4
    | spl0_134
    | spl0_31
    | spl0_18 ),
    inference(avatar_split_clause,[],[f146,f286,f352,f875,f215]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp16
      | hskp2
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f873,plain,
    ( ~ spl0_4
    | spl0_133
    | spl0_26
    | spl0_2 ),
    inference(avatar_split_clause,[],[f145,f206,f327,f871,f215]) ).

fof(f206,plain,
    ( spl0_2
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp14
      | hskp7
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f869,plain,
    ( ~ spl0_4
    | spl0_132
    | spl0_22
    | spl0_21 ),
    inference(avatar_split_clause,[],[f144,f302,f307,f866,f215]) ).

fof(f302,plain,
    ( spl0_21
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f868,plain,
    ( ~ spl0_4
    | spl0_132
    | spl0_7
    | spl0_31 ),
    inference(avatar_split_clause,[],[f143,f352,f230,f866,f215]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp2
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f863,plain,
    ( ~ spl0_4
    | spl0_131
    | spl0_26
    | spl0_28 ),
    inference(avatar_split_clause,[],[f141,f337,f327,f861,f215]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp5
      | hskp7
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f854,plain,
    ( ~ spl0_129
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f138,f362,f851]) ).

fof(f138,axiom,
    ( ~ hskp0
    | ~ c3_1(a1098) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f849,plain,
    ( ~ spl0_128
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f137,f362,f846]) ).

fof(f137,axiom,
    ( ~ hskp0
    | ~ c2_1(a1098) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f844,plain,
    ( ~ spl0_127
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f136,f362,f841]) ).

fof(f136,axiom,
    ( ~ hskp0
    | ~ c1_1(a1098) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f839,plain,
    ( ~ spl0_126
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f135,f357,f836]) ).

fof(f135,axiom,
    ( ~ hskp1
    | ~ c0_1(a1099) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f834,plain,
    ( ~ spl0_125
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f134,f352,f831]) ).

fof(f134,axiom,
    ( ~ hskp2
    | ~ c3_1(a1100) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f829,plain,
    ( ~ spl0_124
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f133,f347,f826]) ).

fof(f133,axiom,
    ( ~ hskp3
    | ~ c3_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f824,plain,
    ( ~ spl0_123
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f132,f342,f821]) ).

fof(f132,axiom,
    ( ~ hskp4
    | ~ c3_1(a1102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f819,plain,
    ( ~ spl0_122
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f131,f337,f816]) ).

fof(f131,axiom,
    ( ~ hskp5
    | ~ c2_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f814,plain,
    ( ~ spl0_121
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f130,f337,f811]) ).

fof(f130,axiom,
    ( ~ hskp5
    | ~ c0_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f809,plain,
    ( ~ spl0_120
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f129,f332,f806]) ).

fof(f332,plain,
    ( spl0_27
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f129,axiom,
    ( ~ hskp6
    | ~ c2_1(a1104) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f804,plain,
    ( ~ spl0_119
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f128,f327,f801]) ).

fof(f128,axiom,
    ( ~ hskp7
    | ~ c1_1(a1105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f789,plain,
    ( ~ spl0_116
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f125,f317,f786]) ).

fof(f125,axiom,
    ( ~ hskp9
    | ~ c3_1(a1108) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f784,plain,
    ( ~ spl0_115
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f124,f317,f781]) ).

fof(f124,axiom,
    ( ~ hskp9
    | ~ c1_1(a1108) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f769,plain,
    ( ~ spl0_112
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f121,f307,f766]) ).

fof(f121,axiom,
    ( ~ hskp11
    | ~ c2_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f764,plain,
    ( ~ spl0_111
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f120,f302,f761]) ).

fof(f120,axiom,
    ( ~ hskp12
    | ~ c3_1(a1114) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f759,plain,
    ( ~ spl0_110
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f119,f302,f756]) ).

fof(f119,axiom,
    ( ~ hskp12
    | ~ c0_1(a1114) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f754,plain,
    ( ~ spl0_109
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f118,f297,f751]) ).

fof(f118,axiom,
    ( ~ hskp13
    | ~ c3_1(a1115) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f749,plain,
    ( ~ spl0_108
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f117,f297,f746]) ).

fof(f117,axiom,
    ( ~ hskp13
    | ~ c1_1(a1115) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f744,plain,
    ( ~ spl0_107
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f116,f206,f741]) ).

fof(f116,axiom,
    ( ~ hskp14
    | ~ c3_1(a1118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f739,plain,
    ( ~ spl0_106
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f115,f206,f736]) ).

fof(f115,axiom,
    ( ~ hskp14
    | ~ c2_1(a1118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f734,plain,
    ( ~ spl0_105
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f114,f291,f731]) ).

fof(f114,axiom,
    ( ~ hskp15
    | ~ c2_1(a1119) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f729,plain,
    ( ~ spl0_104
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f113,f291,f726]) ).

fof(f113,axiom,
    ( ~ hskp15
    | ~ c0_1(a1119) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f724,plain,
    ( ~ spl0_103
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f112,f286,f721]) ).

fof(f112,axiom,
    ( ~ hskp16
    | ~ c0_1(a1121) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f719,plain,
    ( ~ spl0_102
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f111,f281,f716]) ).

fof(f111,axiom,
    ( ~ hskp17
    | ~ c2_1(a1124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f714,plain,
    ( ~ spl0_101
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f110,f281,f711]) ).

fof(f110,axiom,
    ( ~ hskp17
    | ~ c1_1(a1124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f709,plain,
    ( ~ spl0_100
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f109,f276,f706]) ).

fof(f109,axiom,
    ( ~ hskp18
    | ~ c1_1(a1125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f704,plain,
    ( ~ spl0_99
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f108,f271,f701]) ).

fof(f271,plain,
    ( spl0_15
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f108,axiom,
    ( ~ hskp19
    | ~ c2_1(a1127) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f699,plain,
    ( ~ spl0_98
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f107,f266,f696]) ).

fof(f107,axiom,
    ( ~ hskp20
    | ~ c3_1(a1130) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f694,plain,
    ( ~ spl0_97
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f106,f266,f691]) ).

fof(f106,axiom,
    ( ~ hskp20
    | ~ c2_1(a1130) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f689,plain,
    ( ~ spl0_96
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f105,f266,f686]) ).

fof(f105,axiom,
    ( ~ hskp20
    | ~ c0_1(a1130) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f684,plain,
    ( ~ spl0_95
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f104,f261,f681]) ).

fof(f104,axiom,
    ( ~ hskp21
    | ~ c3_1(a1131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f679,plain,
    ( ~ spl0_94
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f103,f261,f676]) ).

fof(f103,axiom,
    ( ~ hskp21
    | ~ c0_1(a1131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f669,plain,
    ( ~ spl0_92
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f101,f202,f666]) ).

fof(f101,axiom,
    ( ~ hskp23
    | ~ c3_1(a1147) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f664,plain,
    ( ~ spl0_91
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f100,f202,f661]) ).

fof(f100,axiom,
    ( ~ hskp23
    | ~ c2_1(a1147) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f659,plain,
    ( ~ spl0_90
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f99,f250,f656]) ).

fof(f99,axiom,
    ( ~ hskp24
    | ~ c0_1(a1149) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f654,plain,
    ( ~ spl0_89
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f98,f245,f651]) ).

fof(f98,axiom,
    ( ~ hskp25
    | ~ c1_1(a1172) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f649,plain,
    ( ~ spl0_88
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f97,f245,f646]) ).

fof(f97,axiom,
    ( ~ hskp25
    | ~ c0_1(a1172) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f644,plain,
    ( ~ spl0_87
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f96,f240,f641]) ).

fof(f240,plain,
    ( spl0_9
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f96,axiom,
    ( ~ hskp26
    | ~ c2_1(a1180) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f639,plain,
    ( ~ spl0_86
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f95,f240,f636]) ).

fof(f95,axiom,
    ( ~ hskp26
    | ~ c1_1(a1180) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f634,plain,
    ( ~ spl0_85
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f94,f240,f631]) ).

fof(f94,axiom,
    ( ~ hskp26
    | ~ c0_1(a1180) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f629,plain,
    ( ~ spl0_84
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f93,f235,f626]) ).

fof(f235,plain,
    ( spl0_8
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f93,axiom,
    ( ~ hskp27
    | ~ c3_1(a1200) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f624,plain,
    ( ~ spl0_83
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f92,f235,f621]) ).

fof(f92,axiom,
    ( ~ hskp27
    | ~ c1_1(a1200) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f619,plain,
    ( ~ spl0_82
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f91,f235,f616]) ).

fof(f91,axiom,
    ( ~ hskp27
    | ~ c0_1(a1200) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f614,plain,
    ( ~ spl0_32
    | spl0_81 ),
    inference(avatar_split_clause,[],[f90,f611,f357]) ).

fof(f90,axiom,
    ( c2_1(a1099)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f609,plain,
    ( ~ spl0_32
    | spl0_80 ),
    inference(avatar_split_clause,[],[f89,f606,f357]) ).

fof(f89,axiom,
    ( c1_1(a1099)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f604,plain,
    ( ~ spl0_31
    | spl0_79 ),
    inference(avatar_split_clause,[],[f88,f601,f352]) ).

fof(f88,axiom,
    ( c2_1(a1100)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f599,plain,
    ( ~ spl0_31
    | spl0_78 ),
    inference(avatar_split_clause,[],[f87,f596,f352]) ).

fof(f87,axiom,
    ( c0_1(a1100)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f594,plain,
    ( ~ spl0_30
    | spl0_77 ),
    inference(avatar_split_clause,[],[f86,f591,f347]) ).

fof(f86,axiom,
    ( c2_1(a1101)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f589,plain,
    ( ~ spl0_30
    | spl0_76 ),
    inference(avatar_split_clause,[],[f85,f586,f347]) ).

fof(f85,axiom,
    ( c1_1(a1101)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f584,plain,
    ( ~ spl0_29
    | spl0_75 ),
    inference(avatar_split_clause,[],[f84,f581,f342]) ).

fof(f84,axiom,
    ( c1_1(a1102)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f579,plain,
    ( ~ spl0_29
    | spl0_74 ),
    inference(avatar_split_clause,[],[f83,f576,f342]) ).

fof(f83,axiom,
    ( c0_1(a1102)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f574,plain,
    ( ~ spl0_28
    | spl0_73 ),
    inference(avatar_split_clause,[],[f82,f571,f337]) ).

fof(f82,axiom,
    ( c3_1(a1103)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f569,plain,
    ( ~ spl0_27
    | spl0_72 ),
    inference(avatar_split_clause,[],[f81,f566,f332]) ).

fof(f81,axiom,
    ( c1_1(a1104)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f564,plain,
    ( ~ spl0_27
    | spl0_71 ),
    inference(avatar_split_clause,[],[f80,f561,f332]) ).

fof(f80,axiom,
    ( c0_1(a1104)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f559,plain,
    ( ~ spl0_26
    | spl0_70 ),
    inference(avatar_split_clause,[],[f79,f556,f327]) ).

fof(f79,axiom,
    ( c3_1(a1105)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f554,plain,
    ( ~ spl0_26
    | spl0_69 ),
    inference(avatar_split_clause,[],[f78,f551,f327]) ).

fof(f78,axiom,
    ( c0_1(a1105)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f544,plain,
    ( ~ spl0_24
    | spl0_67 ),
    inference(avatar_split_clause,[],[f76,f541,f317]) ).

fof(f76,axiom,
    ( c0_1(a1108)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f534,plain,
    ( ~ spl0_22
    | spl0_65 ),
    inference(avatar_split_clause,[],[f74,f531,f307]) ).

fof(f74,axiom,
    ( c3_1(a1113)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f529,plain,
    ( ~ spl0_22
    | spl0_64 ),
    inference(avatar_split_clause,[],[f73,f526,f307]) ).

fof(f73,axiom,
    ( c0_1(a1113)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f524,plain,
    ( ~ spl0_21
    | spl0_63 ),
    inference(avatar_split_clause,[],[f72,f521,f302]) ).

fof(f72,axiom,
    ( c2_1(a1114)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f519,plain,
    ( ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f71,f516,f297]) ).

fof(f71,axiom,
    ( c2_1(a1115)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f514,plain,
    ( ~ spl0_2
    | spl0_61 ),
    inference(avatar_split_clause,[],[f70,f511,f206]) ).

fof(f70,axiom,
    ( c1_1(a1118)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f509,plain,
    ( ~ spl0_19
    | spl0_60 ),
    inference(avatar_split_clause,[],[f69,f506,f291]) ).

fof(f69,axiom,
    ( c1_1(a1119)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f504,plain,
    ( ~ spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f68,f501,f286]) ).

fof(f68,axiom,
    ( c3_1(a1121)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f499,plain,
    ( ~ spl0_18
    | spl0_58 ),
    inference(avatar_split_clause,[],[f67,f496,f286]) ).

fof(f67,axiom,
    ( c1_1(a1121)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f494,plain,
    ( ~ spl0_17
    | spl0_57 ),
    inference(avatar_split_clause,[],[f66,f491,f281]) ).

fof(f66,axiom,
    ( c0_1(a1124)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f489,plain,
    ( ~ spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f65,f486,f276]) ).

fof(f65,axiom,
    ( c2_1(a1125)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f484,plain,
    ( ~ spl0_16
    | spl0_55 ),
    inference(avatar_split_clause,[],[f64,f481,f276]) ).

fof(f64,axiom,
    ( c0_1(a1125)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f479,plain,
    ( ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f63,f476,f271]) ).

fof(f63,axiom,
    ( c3_1(a1127)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f474,plain,
    ( ~ spl0_15
    | spl0_53 ),
    inference(avatar_split_clause,[],[f62,f471,f271]) ).

fof(f62,axiom,
    ( c1_1(a1127)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f469,plain,
    ( ~ spl0_13
    | spl0_52 ),
    inference(avatar_split_clause,[],[f61,f466,f261]) ).

fof(f61,axiom,
    ( c1_1(a1131)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f464,plain,
    ( ~ spl0_12
    | spl0_51 ),
    inference(avatar_split_clause,[],[f60,f461,f256]) ).

fof(f60,axiom,
    ( c3_1(a1145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f459,plain,
    ( ~ spl0_12
    | spl0_50 ),
    inference(avatar_split_clause,[],[f59,f456,f256]) ).

fof(f59,axiom,
    ( c2_1(a1145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f454,plain,
    ( ~ spl0_1
    | spl0_49 ),
    inference(avatar_split_clause,[],[f58,f451,f202]) ).

fof(f58,axiom,
    ( c0_1(a1147)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f449,plain,
    ( ~ spl0_11
    | spl0_48 ),
    inference(avatar_split_clause,[],[f57,f446,f250]) ).

fof(f57,axiom,
    ( c3_1(a1149)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f444,plain,
    ( ~ spl0_11
    | spl0_47 ),
    inference(avatar_split_clause,[],[f56,f441,f250]) ).

fof(f56,axiom,
    ( c2_1(a1149)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f439,plain,
    ( ~ spl0_10
    | spl0_46 ),
    inference(avatar_split_clause,[],[f55,f436,f245]) ).

fof(f55,axiom,
    ( c2_1(a1172)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f434,plain,
    ( ~ spl0_7
    | spl0_45 ),
    inference(avatar_split_clause,[],[f54,f431,f230]) ).

fof(f54,axiom,
    ( c2_1(a1111)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f429,plain,
    ( ~ spl0_7
    | spl0_44 ),
    inference(avatar_split_clause,[],[f53,f426,f230]) ).

fof(f53,axiom,
    ( c1_1(a1111)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f424,plain,
    ( ~ spl0_7
    | spl0_43 ),
    inference(avatar_split_clause,[],[f52,f421,f230]) ).

fof(f52,axiom,
    ( c0_1(a1111)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f419,plain,
    ( ~ spl0_6
    | spl0_42 ),
    inference(avatar_split_clause,[],[f51,f416,f225]) ).

fof(f51,axiom,
    ( c3_1(a1116)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f414,plain,
    ( ~ spl0_6
    | spl0_41 ),
    inference(avatar_split_clause,[],[f50,f411,f225]) ).

fof(f50,axiom,
    ( c2_1(a1116)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f409,plain,
    ( ~ spl0_6
    | spl0_40 ),
    inference(avatar_split_clause,[],[f49,f406,f225]) ).

fof(f49,axiom,
    ( c0_1(a1116)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f404,plain,
    ( ~ spl0_5
    | spl0_39 ),
    inference(avatar_split_clause,[],[f48,f401,f220]) ).

fof(f48,axiom,
    ( c3_1(a1136)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f399,plain,
    ( ~ spl0_5
    | spl0_38 ),
    inference(avatar_split_clause,[],[f47,f396,f220]) ).

fof(f47,axiom,
    ( c2_1(a1136)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f394,plain,
    ( ~ spl0_5
    | spl0_37 ),
    inference(avatar_split_clause,[],[f46,f391,f220]) ).

fof(f46,axiom,
    ( c1_1(a1136)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f374,plain,
    ( spl0_15
    | spl0_21
    | spl0_9 ),
    inference(avatar_split_clause,[],[f42,f240,f302,f271]) ).

fof(f42,axiom,
    ( hskp26
    | hskp12
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f373,plain,
    ( spl0_18
    | spl0_20
    | spl0_8 ),
    inference(avatar_split_clause,[],[f41,f235,f297,f286]) ).

fof(f41,axiom,
    ( hskp27
    | hskp13
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f372,plain,
    ( spl0_1
    | spl0_5
    | spl0_33 ),
    inference(avatar_split_clause,[],[f40,f362,f220,f202]) ).

fof(f40,axiom,
    ( hskp0
    | hskp30
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f370,plain,
    ( spl0_26
    | spl0_1
    | spl0_20 ),
    inference(avatar_split_clause,[],[f38,f297,f202,f327]) ).

fof(f38,axiom,
    ( hskp13
    | hskp23
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f369,plain,
    ( spl0_16
    | spl0_15
    | spl0_10 ),
    inference(avatar_split_clause,[],[f37,f245,f271,f276]) ).

fof(f37,axiom,
    ( hskp25
    | hskp19
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f368,plain,
    ( spl0_16
    | spl0_18
    | spl0_9 ),
    inference(avatar_split_clause,[],[f36,f240,f286,f276]) ).

fof(f36,axiom,
    ( hskp26
    | hskp16
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f367,plain,
    ( spl0_29
    | spl0_30
    | spl0_9 ),
    inference(avatar_split_clause,[],[f35,f240,f347,f342]) ).

fof(f35,axiom,
    ( hskp26
    | hskp3
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f366,plain,
    ( spl0_27
    | spl0_13
    | spl0_11 ),
    inference(avatar_split_clause,[],[f34,f250,f261,f332]) ).

fof(f34,axiom,
    ( hskp24
    | hskp21
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f330,plain,
    ( ~ spl0_26
    | spl0_4 ),
    inference(avatar_split_clause,[],[f26,f215,f327]) ).

fof(f26,axiom,
    ( ndr1_0
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

fof(f300,plain,
    ( ~ spl0_20
    | spl0_4 ),
    inference(avatar_split_clause,[],[f20,f215,f297]) ).

fof(f20,axiom,
    ( ndr1_0
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f254,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f10,f215,f202]) ).

fof(f10,axiom,
    ( ndr1_0
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SYN476-1 : TPTP v8.2.0. Released v2.1.0.
% 0.02/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.32  % Computer : n019.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon May 20 15:00:08 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.81  % (12020)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.81  % (12022)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.81  % (12021)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.60/0.81  % (12023)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.81  % (12024)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.81  % (12025)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.81  % (12026)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.60/0.81  % (12027)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.83  % (12023)Instruction limit reached!
% 0.60/0.83  % (12023)------------------------------
% 0.60/0.83  % (12023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (12023)Termination reason: Unknown
% 0.60/0.83  % (12023)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (12023)Memory used [KB]: 2107
% 0.60/0.83  % (12023)Time elapsed: 0.019 s
% 0.60/0.83  % (12023)Instructions burned: 33 (million)
% 0.60/0.83  % (12023)------------------------------
% 0.60/0.83  % (12023)------------------------------
% 0.60/0.83  % (12020)Instruction limit reached!
% 0.60/0.83  % (12020)------------------------------
% 0.60/0.83  % (12020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (12020)Termination reason: Unknown
% 0.60/0.83  % (12020)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (12020)Memory used [KB]: 1960
% 0.60/0.83  % (12020)Time elapsed: 0.021 s
% 0.60/0.83  % (12020)Instructions burned: 34 (million)
% 0.60/0.83  % (12020)------------------------------
% 0.60/0.83  % (12020)------------------------------
% 0.60/0.83  % (12024)Instruction limit reached!
% 0.60/0.83  % (12024)------------------------------
% 0.60/0.83  % (12024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (12024)Termination reason: Unknown
% 0.60/0.83  % (12024)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (12024)Memory used [KB]: 2003
% 0.60/0.83  % (12024)Time elapsed: 0.021 s
% 0.60/0.83  % (12024)Instructions burned: 35 (million)
% 0.60/0.83  % (12024)------------------------------
% 0.60/0.83  % (12024)------------------------------
% 0.67/0.84  % (12028)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.67/0.84  % (12029)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.67/0.84  % (12030)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.67/0.84  % (12025)Instruction limit reached!
% 0.67/0.84  % (12025)------------------------------
% 0.67/0.84  % (12025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (12025)Termination reason: Unknown
% 0.67/0.84  % (12025)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (12025)Memory used [KB]: 2239
% 0.67/0.84  % (12025)Time elapsed: 0.027 s
% 0.67/0.84  % (12025)Instructions burned: 46 (million)
% 0.67/0.84  % (12025)------------------------------
% 0.67/0.84  % (12025)------------------------------
% 0.67/0.84  % (12021)First to succeed.
% 0.67/0.84  % (12031)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.67/0.85  % (12027)Instruction limit reached!
% 0.67/0.85  % (12027)------------------------------
% 0.67/0.85  % (12027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (12027)Termination reason: Unknown
% 0.67/0.85  % (12027)Termination phase: Saturation
% 0.67/0.85  
% 0.67/0.85  % (12027)Memory used [KB]: 2180
% 0.67/0.85  % (12027)Time elapsed: 0.034 s
% 0.67/0.85  % (12027)Instructions burned: 56 (million)
% 0.67/0.85  % (12027)------------------------------
% 0.67/0.85  % (12027)------------------------------
% 0.67/0.85  % (12021)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12019"
% 0.67/0.85  % (12021)Refutation found. Thanks to Tanya!
% 0.67/0.85  % SZS status Unsatisfiable for theBenchmark
% 0.67/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.86  % (12021)------------------------------
% 0.67/0.86  % (12021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.86  % (12021)Termination reason: Refutation
% 0.67/0.86  
% 0.67/0.86  % (12021)Memory used [KB]: 1844
% 0.67/0.86  % (12021)Time elapsed: 0.036 s
% 0.67/0.86  % (12021)Instructions burned: 61 (million)
% 0.67/0.86  % (12019)Success in time 0.521 s
% 0.67/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------