TSTP Solution File: SYN478-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN478-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 19:27:07 EDT 2022

% Result   : Unsatisfiable 1.74s 0.59s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  272
% Syntax   : Number of formulae    :  612 (   1 unt;   0 def)
%            Number of atoms       : 1905 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2224 ( 931   ~;1144   |;   0   &)
%                                         ( 149 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  122 ( 122   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1959,plain,
    $false,
    inference(avatar_sat_refutation,[],[f209,f238,f247,f268,f276,f285,f294,f303,f312,f326,f333,f342,f347,f356,f377,f384,f389,f400,f405,f412,f417,f421,f426,f437,f442,f447,f452,f469,f478,f485,f489,f490,f492,f497,f502,f507,f518,f530,f535,f539,f545,f551,f560,f571,f578,f584,f595,f609,f615,f630,f631,f636,f645,f656,f667,f672,f677,f679,f687,f688,f689,f695,f711,f716,f717,f718,f719,f724,f725,f730,f735,f752,f758,f759,f765,f766,f767,f772,f788,f789,f790,f799,f804,f815,f821,f832,f837,f842,f848,f849,f854,f859,f865,f867,f872,f877,f882,f887,f893,f898,f899,f904,f909,f914,f915,f920,f925,f930,f936,f937,f938,f940,f950,f955,f961,f966,f971,f972,f982,f983,f988,f989,f990,f1002,f1027,f1036,f1041,f1051,f1065,f1071,f1076,f1084,f1094,f1106,f1107,f1116,f1122,f1127,f1132,f1210,f1216,f1229,f1234,f1246,f1251,f1265,f1267,f1284,f1285,f1286,f1313,f1314,f1319,f1350,f1351,f1355,f1383,f1396,f1402,f1403,f1415,f1420,f1441,f1460,f1471,f1488,f1489,f1490,f1495,f1496,f1504,f1511,f1556,f1601,f1602,f1637,f1653,f1654,f1674,f1677,f1701,f1705,f1715,f1716,f1758,f1791,f1793,f1824,f1876,f1889,f1951,f1952,f1953,f1954,f1958]) ).

fof(f1958,plain,
    ( spl0_180
    | ~ spl0_139
    | ~ spl0_66
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1879,f796,f487,f890,f1412]) ).

fof(f1412,plain,
    ( spl0_180
  <=> c3_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f890,plain,
    ( spl0_139
  <=> c0_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f487,plain,
    ( spl0_66
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f796,plain,
    ( spl0_122
  <=> c1_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1879,plain,
    ( ~ c0_1(a1307)
    | c3_1(a1307)
    | ~ spl0_66
    | ~ spl0_122 ),
    inference(resolution,[],[f488,f798]) ).

fof(f798,plain,
    ( c1_1(a1307)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f488,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1954,plain,
    ( ~ spl0_125
    | ~ spl0_158
    | ~ spl0_120
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1941,f818,f785,f1004,f812]) ).

fof(f812,plain,
    ( spl0_125
  <=> c0_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1004,plain,
    ( spl0_158
  <=> c1_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f785,plain,
    ( spl0_120
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f818,plain,
    ( spl0_126
  <=> c2_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1941,plain,
    ( ~ c1_1(a1394)
    | ~ c0_1(a1394)
    | ~ spl0_120
    | ~ spl0_126 ),
    inference(resolution,[],[f786,f820]) ).

fof(f820,plain,
    ( c2_1(a1394)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f786,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f1953,plain,
    ( ~ spl0_104
    | ~ spl0_168
    | ~ spl0_120
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1937,f933,f785,f1113,f692]) ).

fof(f692,plain,
    ( spl0_104
  <=> c1_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1113,plain,
    ( spl0_168
  <=> c0_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f933,plain,
    ( spl0_147
  <=> c2_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1937,plain,
    ( ~ c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_120
    | ~ spl0_147 ),
    inference(resolution,[],[f786,f935]) ).

fof(f935,plain,
    ( c2_1(a1338)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f1952,plain,
    ( ~ spl0_181
    | ~ spl0_153
    | ~ spl0_120
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1945,f851,f785,f968,f1436]) ).

fof(f1436,plain,
    ( spl0_181
  <=> c0_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f968,plain,
    ( spl0_153
  <=> c1_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f851,plain,
    ( spl0_132
  <=> c2_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1945,plain,
    ( ~ c1_1(a1331)
    | ~ c0_1(a1331)
    | ~ spl0_120
    | ~ spl0_132 ),
    inference(resolution,[],[f786,f853]) ).

fof(f853,plain,
    ( c2_1(a1331)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f1951,plain,
    ( ~ spl0_122
    | ~ spl0_139
    | ~ spl0_98
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1939,f785,f653,f890,f796]) ).

fof(f653,plain,
    ( spl0_98
  <=> c2_1(a1307) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1939,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_98
    | ~ spl0_120 ),
    inference(resolution,[],[f786,f655]) ).

fof(f655,plain,
    ( c2_1(a1307)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1889,plain,
    ( ~ spl0_181
    | spl0_32
    | ~ spl0_66
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1884,f968,f487,f335,f1436]) ).

fof(f335,plain,
    ( spl0_32
  <=> c3_1(a1331) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1884,plain,
    ( c3_1(a1331)
    | ~ c0_1(a1331)
    | ~ spl0_66
    | ~ spl0_153 ),
    inference(resolution,[],[f488,f970]) ).

fof(f970,plain,
    ( c1_1(a1331)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f1876,plain,
    ( spl0_167
    | spl0_76
    | ~ spl0_65
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1871,f901,f483,f532,f1091]) ).

fof(f1091,plain,
    ( spl0_167
  <=> c3_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f532,plain,
    ( spl0_76
  <=> c2_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f483,plain,
    ( spl0_65
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f901,plain,
    ( spl0_141
  <=> c0_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1871,plain,
    ( c2_1(a1330)
    | c3_1(a1330)
    | ~ spl0_65
    | ~ spl0_141 ),
    inference(resolution,[],[f484,f903]) ).

fof(f903,plain,
    ( c0_1(a1330)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f484,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f1824,plain,
    ( ~ spl0_117
    | spl0_145
    | ~ spl0_59
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1816,f612,f460,f922,f769]) ).

fof(f769,plain,
    ( spl0_117
  <=> c0_1(a1344) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f922,plain,
    ( spl0_145
  <=> c2_1(a1344) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f460,plain,
    ( spl0_59
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f612,plain,
    ( spl0_90
  <=> c1_1(a1344) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1816,plain,
    ( c2_1(a1344)
    | ~ c0_1(a1344)
    | ~ spl0_59
    | ~ spl0_90 ),
    inference(resolution,[],[f461,f614]) ).

fof(f614,plain,
    ( c1_1(a1344)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f461,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f1793,plain,
    ( spl0_170
    | spl0_54
    | ~ spl0_64
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1585,f504,f480,f434,f1140]) ).

fof(f1140,plain,
    ( spl0_170
  <=> c0_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f434,plain,
    ( spl0_54
  <=> c3_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f480,plain,
    ( spl0_64
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f504,plain,
    ( spl0_69
  <=> c2_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1585,plain,
    ( c3_1(a1326)
    | c0_1(a1326)
    | ~ spl0_64
    | spl0_69 ),
    inference(resolution,[],[f481,f506]) ).

fof(f506,plain,
    ( ~ c2_1(a1326)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f481,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1791,plain,
    ( spl0_79
    | spl0_69
    | ~ spl0_43
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1789,f1140,f382,f504,f548]) ).

fof(f548,plain,
    ( spl0_79
  <=> c1_1(a1326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f382,plain,
    ( spl0_43
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1789,plain,
    ( c2_1(a1326)
    | c1_1(a1326)
    | ~ spl0_43
    | ~ spl0_170 ),
    inference(resolution,[],[f383,f1142]) ).

fof(f1142,plain,
    ( c0_1(a1326)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f383,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1758,plain,
    ( spl0_62
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1756,f480,f253,f471]) ).

fof(f471,plain,
    ( spl0_62
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f253,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1756,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f1744]) ).

fof(f1744,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(resolution,[],[f254,f481]) ).

fof(f254,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f1716,plain,
    ( spl0_159
    | spl0_155
    | ~ spl0_64
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1587,f845,f480,f979,f1018]) ).

fof(f1018,plain,
    ( spl0_159
  <=> c3_1(a1306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f979,plain,
    ( spl0_155
  <=> c0_1(a1306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f845,plain,
    ( spl0_131
  <=> c2_1(a1306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1587,plain,
    ( c0_1(a1306)
    | c3_1(a1306)
    | ~ spl0_64
    | spl0_131 ),
    inference(resolution,[],[f481,f847]) ).

fof(f847,plain,
    ( ~ c2_1(a1306)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f1715,plain,
    ( ~ spl0_57
    | spl0_133
    | ~ spl0_67
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1712,f516,f494,f856,f449]) ).

fof(f449,plain,
    ( spl0_57
  <=> c1_1(a1309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f856,plain,
    ( spl0_133
  <=> c2_1(a1309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f494,plain,
    ( spl0_67
  <=> c3_1(a1309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f516,plain,
    ( spl0_72
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1712,plain,
    ( c2_1(a1309)
    | ~ c1_1(a1309)
    | ~ spl0_67
    | ~ spl0_72 ),
    inference(resolution,[],[f496,f517]) ).

fof(f517,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f496,plain,
    ( c3_1(a1309)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f1705,plain,
    ( spl0_32
    | spl0_181
    | ~ spl0_119
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1694,f968,f782,f1436,f335]) ).

fof(f782,plain,
    ( spl0_119
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1694,plain,
    ( c0_1(a1331)
    | c3_1(a1331)
    | ~ spl0_119
    | ~ spl0_153 ),
    inference(resolution,[],[f783,f970]) ).

fof(f783,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f1701,plain,
    ( spl0_85
    | spl0_176
    | ~ spl0_119
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1690,f839,f782,f1248,f581]) ).

fof(f581,plain,
    ( spl0_85
  <=> c0_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1248,plain,
    ( spl0_176
  <=> c3_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f839,plain,
    ( spl0_130
  <=> c1_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1690,plain,
    ( c3_1(a1348)
    | c0_1(a1348)
    | ~ spl0_119
    | ~ spl0_130 ),
    inference(resolution,[],[f783,f841]) ).

fof(f841,plain,
    ( c1_1(a1348)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f1677,plain,
    ( spl0_136
    | spl0_41
    | ~ spl0_108
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1659,f1029,f713,f374,f874]) ).

fof(f874,plain,
    ( spl0_136
  <=> c3_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f374,plain,
    ( spl0_41
  <=> c2_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f713,plain,
    ( spl0_108
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1029,plain,
    ( spl0_161
  <=> c1_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1659,plain,
    ( c2_1(a1411)
    | c3_1(a1411)
    | ~ spl0_108
    | ~ spl0_161 ),
    inference(resolution,[],[f714,f1031]) ).

fof(f1031,plain,
    ( c1_1(a1411)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f714,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f1674,plain,
    ( spl0_156
    | spl0_95
    | ~ spl0_103
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1665,f713,f684,f638,f985]) ).

fof(f985,plain,
    ( spl0_156
  <=> c3_1(a1333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f638,plain,
    ( spl0_95
  <=> c2_1(a1333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f684,plain,
    ( spl0_103
  <=> c1_1(a1333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1665,plain,
    ( c2_1(a1333)
    | c3_1(a1333)
    | ~ spl0_103
    | ~ spl0_108 ),
    inference(resolution,[],[f714,f686]) ).

fof(f686,plain,
    ( c1_1(a1333)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f1654,plain,
    ( spl0_44
    | spl0_107
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1648,f658,f244,f708,f386]) ).

fof(f386,plain,
    ( spl0_44
  <=> c1_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f708,plain,
    ( spl0_107
  <=> c0_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f244,plain,
    ( spl0_11
  <=> c2_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f658,plain,
    ( spl0_99
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1648,plain,
    ( c0_1(a1320)
    | c1_1(a1320)
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(resolution,[],[f659,f246]) ).

fof(f246,plain,
    ( c2_1(a1320)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f659,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1653,plain,
    ( spl0_182
    | spl0_19
    | ~ spl0_52
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1644,f658,f423,f278,f1468]) ).

fof(f1468,plain,
    ( spl0_182
  <=> c0_1(a1370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f278,plain,
    ( spl0_19
  <=> c1_1(a1370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f423,plain,
    ( spl0_52
  <=> c2_1(a1370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1644,plain,
    ( c1_1(a1370)
    | c0_1(a1370)
    | ~ spl0_52
    | ~ spl0_99 ),
    inference(resolution,[],[f659,f425]) ).

fof(f425,plain,
    ( c2_1(a1370)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f1637,plain,
    ( spl0_129
    | spl0_155
    | ~ spl0_77
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1634,f845,f537,f979,f834]) ).

fof(f834,plain,
    ( spl0_129
  <=> c1_1(a1306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f537,plain,
    ( spl0_77
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1634,plain,
    ( c0_1(a1306)
    | c1_1(a1306)
    | ~ spl0_77
    | spl0_131 ),
    inference(resolution,[],[f538,f847]) ).

fof(f538,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1602,plain,
    ( spl0_24
    | spl0_115
    | ~ spl0_70
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1596,f762,f509,f755,f300]) ).

fof(f300,plain,
    ( spl0_24
  <=> c1_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f755,plain,
    ( spl0_115
  <=> c0_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f509,plain,
    ( spl0_70
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f762,plain,
    ( spl0_116
  <=> c3_1(a1315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1596,plain,
    ( c0_1(a1315)
    | c1_1(a1315)
    | ~ spl0_70
    | ~ spl0_116 ),
    inference(resolution,[],[f510,f764]) ).

fof(f764,plain,
    ( c3_1(a1315)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f510,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1601,plain,
    ( spl0_155
    | spl0_129
    | ~ spl0_70
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1598,f1018,f509,f834,f979]) ).

fof(f1598,plain,
    ( c1_1(a1306)
    | c0_1(a1306)
    | ~ spl0_70
    | ~ spl0_159 ),
    inference(resolution,[],[f510,f1020]) ).

fof(f1020,plain,
    ( c3_1(a1306)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f1556,plain,
    ( ~ spl0_181
    | spl0_32
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1549,f851,f379,f335,f1436]) ).

fof(f379,plain,
    ( spl0_42
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1549,plain,
    ( c3_1(a1331)
    | ~ c0_1(a1331)
    | ~ spl0_42
    | ~ spl0_132 ),
    inference(resolution,[],[f380,f853]) ).

fof(f380,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1511,plain,
    ( ~ spl0_152
    | ~ spl0_36
    | ~ spl0_7
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1510,f669,f229,f353,f963]) ).

fof(f963,plain,
    ( spl0_152
  <=> c0_1(a1372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f353,plain,
    ( spl0_36
  <=> c1_1(a1372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f229,plain,
    ( spl0_7
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f669,plain,
    ( spl0_101
  <=> c3_1(a1372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1510,plain,
    ( ~ c1_1(a1372)
    | ~ c0_1(a1372)
    | ~ spl0_7
    | ~ spl0_101 ),
    inference(resolution,[],[f671,f230]) ).

fof(f230,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f671,plain,
    ( c3_1(a1372)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f1504,plain,
    ( spl0_44
    | spl0_107
    | ~ spl0_62
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1503,f999,f471,f708,f386]) ).

fof(f999,plain,
    ( spl0_157
  <=> c3_1(a1320) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1503,plain,
    ( c0_1(a1320)
    | c1_1(a1320)
    | ~ spl0_62
    | spl0_157 ),
    inference(resolution,[],[f1000,f472]) ).

fof(f472,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1000,plain,
    ( ~ c3_1(a1320)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1496,plain,
    ( ~ spl0_130
    | spl0_85
    | ~ spl0_1
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1426,f410,f202,f581,f839]) ).

fof(f202,plain,
    ( spl0_1
  <=> c2_1(a1348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f410,plain,
    ( spl0_49
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1426,plain,
    ( c0_1(a1348)
    | ~ c1_1(a1348)
    | ~ spl0_1
    | ~ spl0_49 ),
    inference(resolution,[],[f411,f204]) ).

fof(f204,plain,
    ( c2_1(a1348)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f411,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1495,plain,
    ( spl0_39
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1303,f328,f274,f365]) ).

fof(f365,plain,
    ( spl0_39
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f274,plain,
    ( spl0_18
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f328,plain,
    ( spl0_30
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1303,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f1296]) ).

fof(f1296,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(resolution,[],[f329,f275]) ).

fof(f275,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f329,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f1490,plain,
    ( spl0_174
    | spl0_100
    | spl0_56
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1481,f471,f444,f664,f1213]) ).

fof(f1213,plain,
    ( spl0_174
  <=> c1_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f664,plain,
    ( spl0_100
  <=> c0_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f444,plain,
    ( spl0_56
  <=> c3_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1481,plain,
    ( c0_1(a1319)
    | c1_1(a1319)
    | spl0_56
    | ~ spl0_62 ),
    inference(resolution,[],[f472,f446]) ).

fof(f446,plain,
    ( ~ c3_1(a1319)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1489,plain,
    ( spl0_144
    | spl0_114
    | ~ spl0_62
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1485,f884,f471,f749,f917]) ).

fof(f917,plain,
    ( spl0_144
  <=> c1_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f749,plain,
    ( spl0_114
  <=> c0_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f884,plain,
    ( spl0_138
  <=> c3_1(a1359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1485,plain,
    ( c0_1(a1359)
    | c1_1(a1359)
    | ~ spl0_62
    | spl0_138 ),
    inference(resolution,[],[f472,f886]) ).

fof(f886,plain,
    ( ~ c3_1(a1359)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f1488,plain,
    ( spl0_19
    | spl0_182
    | ~ spl0_62
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1477,f862,f471,f1468,f278]) ).

fof(f862,plain,
    ( spl0_134
  <=> c3_1(a1370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1477,plain,
    ( c0_1(a1370)
    | c1_1(a1370)
    | ~ spl0_62
    | spl0_134 ),
    inference(resolution,[],[f472,f864]) ).

fof(f864,plain,
    ( ~ c3_1(a1370)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f1471,plain,
    ( spl0_19
    | ~ spl0_182
    | ~ spl0_18
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1466,f423,f274,f1468,f278]) ).

fof(f1466,plain,
    ( ~ c0_1(a1370)
    | c1_1(a1370)
    | ~ spl0_18
    | ~ spl0_52 ),
    inference(resolution,[],[f425,f275]) ).

fof(f1460,plain,
    ( ~ spl0_135
    | spl0_140
    | ~ spl0_51
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1452,f1073,f419,f895,f869]) ).

fof(f869,plain,
    ( spl0_135
  <=> c3_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f895,plain,
    ( spl0_140
  <=> c1_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f419,plain,
    ( spl0_51
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1073,plain,
    ( spl0_165
  <=> c2_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1452,plain,
    ( c1_1(a1324)
    | ~ c3_1(a1324)
    | ~ spl0_51
    | ~ spl0_165 ),
    inference(resolution,[],[f420,f1075]) ).

fof(f1075,plain,
    ( c2_1(a1324)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f420,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f1441,plain,
    ( spl0_100
    | ~ spl0_174
    | ~ spl0_49
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1432,f627,f410,f1213,f664]) ).

fof(f627,plain,
    ( spl0_93
  <=> c2_1(a1319) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1432,plain,
    ( ~ c1_1(a1319)
    | c0_1(a1319)
    | ~ spl0_49
    | ~ spl0_93 ),
    inference(resolution,[],[f411,f629]) ).

fof(f629,plain,
    ( c2_1(a1319)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f1420,plain,
    ( spl0_76
    | spl0_123
    | ~ spl0_43
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1418,f901,f382,f801,f532]) ).

fof(f801,plain,
    ( spl0_123
  <=> c1_1(a1330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1418,plain,
    ( c1_1(a1330)
    | c2_1(a1330)
    | ~ spl0_43
    | ~ spl0_141 ),
    inference(resolution,[],[f903,f383]) ).

fof(f1415,plain,
    ( ~ spl0_122
    | ~ spl0_180
    | ~ spl0_9
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1409,f653,f236,f1412,f796]) ).

fof(f236,plain,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1409,plain,
    ( ~ c3_1(a1307)
    | ~ c1_1(a1307)
    | ~ spl0_9
    | ~ spl0_98 ),
    inference(resolution,[],[f655,f237]) ).

fof(f237,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f1403,plain,
    ( ~ spl0_57
    | ~ spl0_162
    | ~ spl0_7
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1263,f494,f229,f1038,f449]) ).

fof(f1038,plain,
    ( spl0_162
  <=> c0_1(a1309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1263,plain,
    ( ~ c0_1(a1309)
    | ~ c1_1(a1309)
    | ~ spl0_7
    | ~ spl0_67 ),
    inference(resolution,[],[f230,f496]) ).

fof(f1402,plain,
    ( spl0_78
    | spl0_142
    | ~ spl0_64
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1394,f911,f480,f906,f542]) ).

fof(f542,plain,
    ( spl0_78
  <=> c0_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f906,plain,
    ( spl0_142
  <=> c3_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f911,plain,
    ( spl0_143
  <=> c2_1(a1316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1394,plain,
    ( c3_1(a1316)
    | c0_1(a1316)
    | ~ spl0_64
    | spl0_143 ),
    inference(resolution,[],[f481,f913]) ).

fof(f913,plain,
    ( ~ c2_1(a1316)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1396,plain,
    ( spl0_175
    | spl0_156
    | ~ spl0_64
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1390,f638,f480,f985,f1231]) ).

fof(f1231,plain,
    ( spl0_175
  <=> c0_1(a1333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1390,plain,
    ( c3_1(a1333)
    | c0_1(a1333)
    | ~ spl0_64
    | spl0_95 ),
    inference(resolution,[],[f481,f640]) ).

fof(f640,plain,
    ( ~ c2_1(a1333)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f1383,plain,
    ( ~ spl0_151
    | spl0_111
    | ~ spl0_61
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1373,f553,f467,f732,f958]) ).

fof(f958,plain,
    ( spl0_151
  <=> c3_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f732,plain,
    ( spl0_111
  <=> c0_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f467,plain,
    ( spl0_61
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f553,plain,
    ( spl0_80
  <=> c2_1(a1334) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1373,plain,
    ( c0_1(a1334)
    | ~ c3_1(a1334)
    | ~ spl0_61
    | ~ spl0_80 ),
    inference(resolution,[],[f468,f555]) ).

fof(f555,plain,
    ( c2_1(a1334)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f468,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1355,plain,
    ( spl0_136
    | spl0_41
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1352,f483,f309,f374,f874]) ).

fof(f309,plain,
    ( spl0_26
  <=> c0_1(a1411) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1352,plain,
    ( c2_1(a1411)
    | c3_1(a1411)
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(resolution,[],[f311,f484]) ).

fof(f311,plain,
    ( c0_1(a1411)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f1351,plain,
    ( ~ spl0_169
    | ~ spl0_146
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1339,f575,f236,f927,f1124]) ).

fof(f1124,plain,
    ( spl0_169
  <=> c1_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f927,plain,
    ( spl0_146
  <=> c3_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f575,plain,
    ( spl0_84
  <=> c2_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1339,plain,
    ( ~ c3_1(a1328)
    | ~ c1_1(a1328)
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(resolution,[],[f237,f577]) ).

fof(f577,plain,
    ( c2_1(a1328)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f1350,plain,
    ( ~ spl0_130
    | ~ spl0_176
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1342,f236,f202,f1248,f839]) ).

fof(f1342,plain,
    ( ~ c3_1(a1348)
    | ~ c1_1(a1348)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(resolution,[],[f237,f204]) ).

fof(f1319,plain,
    ( spl0_63
    | spl0_102
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1318,f727,f365,f674,f475]) ).

fof(f475,plain,
    ( spl0_63
  <=> c1_1(a1312) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f674,plain,
    ( spl0_102
  <=> c3_1(a1312) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f727,plain,
    ( spl0_110
  <=> c0_1(a1312) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1318,plain,
    ( c3_1(a1312)
    | c1_1(a1312)
    | ~ spl0_39
    | ~ spl0_110 ),
    inference(resolution,[],[f729,f366]) ).

fof(f366,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f729,plain,
    ( c0_1(a1312)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1314,plain,
    ( ~ spl0_57
    | spl0_162
    | ~ spl0_67
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1311,f528,f494,f1038,f449]) ).

fof(f528,plain,
    ( spl0_75
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1311,plain,
    ( c0_1(a1309)
    | ~ c1_1(a1309)
    | ~ spl0_67
    | ~ spl0_75 ),
    inference(resolution,[],[f529,f496]) ).

fof(f529,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f1313,plain,
    ( ~ spl0_94
    | spl0_150
    | ~ spl0_75
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1306,f829,f528,f952,f633]) ).

fof(f633,plain,
    ( spl0_94
  <=> c1_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f952,plain,
    ( spl0_150
  <=> c0_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f829,plain,
    ( spl0_128
  <=> c3_1(a1325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1306,plain,
    ( c0_1(a1325)
    | ~ c1_1(a1325)
    | ~ spl0_75
    | ~ spl0_128 ),
    inference(resolution,[],[f529,f831]) ).

fof(f831,plain,
    ( c3_1(a1325)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f1286,plain,
    ( spl0_140
    | ~ spl0_55
    | ~ spl0_18
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1276,f1073,f274,f439,f895]) ).

fof(f439,plain,
    ( spl0_55
  <=> c0_1(a1324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1276,plain,
    ( ~ c0_1(a1324)
    | c1_1(a1324)
    | ~ spl0_18
    | ~ spl0_165 ),
    inference(resolution,[],[f275,f1075]) ).

fof(f1285,plain,
    ( ~ spl0_68
    | spl0_169
    | ~ spl0_18
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1270,f575,f274,f1124,f499]) ).

fof(f499,plain,
    ( spl0_68
  <=> c0_1(a1328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1270,plain,
    ( c1_1(a1328)
    | ~ c0_1(a1328)
    | ~ spl0_18
    | ~ spl0_84 ),
    inference(resolution,[],[f275,f577]) ).

fof(f1284,plain,
    ( spl0_158
    | ~ spl0_125
    | ~ spl0_18
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1271,f818,f274,f812,f1004]) ).

fof(f1271,plain,
    ( ~ c0_1(a1394)
    | c1_1(a1394)
    | ~ spl0_18
    | ~ spl0_126 ),
    inference(resolution,[],[f275,f820]) ).

fof(f1267,plain,
    ( ~ spl0_68
    | ~ spl0_169
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1254,f927,f229,f1124,f499]) ).

fof(f1254,plain,
    ( ~ c1_1(a1328)
    | ~ c0_1(a1328)
    | ~ spl0_7
    | ~ spl0_146 ),
    inference(resolution,[],[f230,f929]) ).

fof(f929,plain,
    ( c3_1(a1328)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f1265,plain,
    ( ~ spl0_104
    | ~ spl0_168
    | ~ spl0_7
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1253,f721,f229,f1113,f692]) ).

fof(f721,plain,
    ( spl0_109
  <=> c3_1(a1338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1253,plain,
    ( ~ c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_7
    | ~ spl0_109 ),
    inference(resolution,[],[f230,f723]) ).

fof(f723,plain,
    ( c3_1(a1338)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f1251,plain,
    ( spl0_176
    | spl0_85
    | ~ spl0_1
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1238,f525,f202,f581,f1248]) ).

fof(f525,plain,
    ( spl0_74
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1238,plain,
    ( c0_1(a1348)
    | c3_1(a1348)
    | ~ spl0_1
    | ~ spl0_74 ),
    inference(resolution,[],[f526,f204]) ).

fof(f526,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1246,plain,
    ( spl0_56
    | spl0_100
    | ~ spl0_74
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1244,f627,f525,f664,f444]) ).

fof(f1244,plain,
    ( c0_1(a1319)
    | c3_1(a1319)
    | ~ spl0_74
    | ~ spl0_93 ),
    inference(resolution,[],[f526,f629]) ).

fof(f1234,plain,
    ( spl0_156
    | ~ spl0_175
    | ~ spl0_66
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1223,f684,f487,f1231,f985]) ).

fof(f1223,plain,
    ( ~ c0_1(a1333)
    | c3_1(a1333)
    | ~ spl0_66
    | ~ spl0_103 ),
    inference(resolution,[],[f488,f686]) ).

fof(f1229,plain,
    ( ~ spl0_47
    | spl0_34
    | ~ spl0_66
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1220,f568,f487,f344,f402]) ).

fof(f402,plain,
    ( spl0_47
  <=> c0_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f344,plain,
    ( spl0_34
  <=> c3_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f568,plain,
    ( spl0_83
  <=> c1_1(a1356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1220,plain,
    ( c3_1(a1356)
    | ~ c0_1(a1356)
    | ~ spl0_66
    | ~ spl0_83 ),
    inference(resolution,[],[f488,f570]) ).

fof(f570,plain,
    ( c1_1(a1356)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1216,plain,
    ( spl0_174
    | spl0_56
    | ~ spl0_13
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1211,f627,f253,f444,f1213]) ).

fof(f1211,plain,
    ( c3_1(a1319)
    | c1_1(a1319)
    | ~ spl0_13
    | ~ spl0_93 ),
    inference(resolution,[],[f629,f254]) ).

fof(f1210,plain,
    ( ~ spl0_157
    | spl0_107
    | ~ spl0_11
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1209,f467,f244,f708,f999]) ).

fof(f1209,plain,
    ( c0_1(a1320)
    | ~ c3_1(a1320)
    | ~ spl0_11
    | ~ spl0_61 ),
    inference(resolution,[],[f246,f468]) ).

fof(f1132,plain,
    ( spl0_168
    | ~ spl0_109
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1129,f933,f467,f721,f1113]) ).

fof(f1129,plain,
    ( ~ c3_1(a1338)
    | c0_1(a1338)
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(resolution,[],[f468,f935]) ).

fof(f1127,plain,
    ( ~ spl0_146
    | spl0_169
    | ~ spl0_51
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1119,f575,f419,f1124,f927]) ).

fof(f1119,plain,
    ( c1_1(a1328)
    | ~ c3_1(a1328)
    | ~ spl0_51
    | ~ spl0_84 ),
    inference(resolution,[],[f420,f577]) ).

fof(f1122,plain,
    ( ~ spl0_157
    | spl0_44
    | ~ spl0_11
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1121,f419,f244,f386,f999]) ).

fof(f1121,plain,
    ( c1_1(a1320)
    | ~ c3_1(a1320)
    | ~ spl0_11
    | ~ spl0_51 ),
    inference(resolution,[],[f420,f246]) ).

fof(f1116,plain,
    ( ~ spl0_104
    | spl0_168
    | ~ spl0_49
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1111,f933,f410,f1113,f692]) ).

fof(f1111,plain,
    ( c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_49
    | ~ spl0_147 ),
    inference(resolution,[],[f411,f935]) ).

fof(f1107,plain,
    ( ~ spl0_55
    | spl0_165
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1099,f869,f407,f1073,f439]) ).

fof(f407,plain,
    ( spl0_48
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1099,plain,
    ( c2_1(a1324)
    | ~ c0_1(a1324)
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(resolution,[],[f408,f871]) ).

fof(f871,plain,
    ( c3_1(a1324)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f408,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1106,plain,
    ( spl0_76
    | ~ spl0_141
    | ~ spl0_48
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1097,f1091,f407,f901,f532]) ).

fof(f1097,plain,
    ( ~ c0_1(a1330)
    | c2_1(a1330)
    | ~ spl0_48
    | ~ spl0_167 ),
    inference(resolution,[],[f408,f1093]) ).

fof(f1093,plain,
    ( c3_1(a1330)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1091]) ).

fof(f1094,plain,
    ( spl0_167
    | spl0_123
    | ~ spl0_39
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1087,f901,f365,f801,f1091]) ).

fof(f1087,plain,
    ( c1_1(a1330)
    | c3_1(a1330)
    | ~ spl0_39
    | ~ spl0_141 ),
    inference(resolution,[],[f366,f903]) ).

fof(f1084,plain,
    ( ~ spl0_104
    | ~ spl0_109
    | ~ spl0_9
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1083,f933,f236,f721,f692]) ).

fof(f1083,plain,
    ( ~ c3_1(a1338)
    | ~ c1_1(a1338)
    | ~ spl0_9
    | ~ spl0_147 ),
    inference(resolution,[],[f935,f237]) ).

fof(f1076,plain,
    ( spl0_165
    | spl0_140
    | ~ spl0_43
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1069,f439,f382,f895,f1073]) ).

fof(f1069,plain,
    ( c1_1(a1324)
    | c2_1(a1324)
    | ~ spl0_43
    | ~ spl0_55 ),
    inference(resolution,[],[f383,f441]) ).

fof(f441,plain,
    ( c0_1(a1324)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1071,plain,
    ( spl0_41
    | spl0_161
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1066,f382,f309,f1029,f374]) ).

fof(f1066,plain,
    ( c1_1(a1411)
    | c2_1(a1411)
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(resolution,[],[f383,f311]) ).

fof(f1065,plain,
    ( spl0_87
    | ~ spl0_125
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1064,f818,f379,f812,f592]) ).

fof(f592,plain,
    ( spl0_87
  <=> c3_1(a1394) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1064,plain,
    ( ~ c0_1(a1394)
    | c3_1(a1394)
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(resolution,[],[f380,f820]) ).

fof(f1051,plain,
    ( spl0_133
    | spl0_162
    | ~ spl0_38
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1049,f494,f362,f1038,f856]) ).

fof(f362,plain,
    ( spl0_38
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1049,plain,
    ( c0_1(a1309)
    | c2_1(a1309)
    | ~ spl0_38
    | ~ spl0_67 ),
    inference(resolution,[],[f363,f496]) ).

fof(f363,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f1041,plain,
    ( spl0_162
    | spl0_133
    | ~ spl0_31
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1033,f449,f331,f856,f1038]) ).

fof(f331,plain,
    ( spl0_31
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1033,plain,
    ( c2_1(a1309)
    | c0_1(a1309)
    | ~ spl0_31
    | ~ spl0_57 ),
    inference(resolution,[],[f332,f451]) ).

fof(f451,plain,
    ( c1_1(a1309)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f1036,plain,
    ( spl0_46
    | spl0_89
    | ~ spl0_31
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1035,f947,f331,f606,f397]) ).

fof(f397,plain,
    ( spl0_46
  <=> c2_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f606,plain,
    ( spl0_89
  <=> c0_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f947,plain,
    ( spl0_149
  <=> c1_1(a1339) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1035,plain,
    ( c0_1(a1339)
    | c2_1(a1339)
    | ~ spl0_31
    | ~ spl0_149 ),
    inference(resolution,[],[f332,f949]) ).

fof(f949,plain,
    ( c1_1(a1339)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f1027,plain,
    ( spl0_79
    | spl0_54
    | ~ spl0_30
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1014,f504,f328,f434,f548]) ).

fof(f1014,plain,
    ( c3_1(a1326)
    | c1_1(a1326)
    | ~ spl0_30
    | spl0_69 ),
    inference(resolution,[],[f329,f506]) ).

fof(f1002,plain,
    ( spl0_44
    | spl0_157
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f996,f253,f244,f999,f386]) ).

fof(f996,plain,
    ( c3_1(a1320)
    | c1_1(a1320)
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f254,f246]) ).

fof(f990,plain,
    ( spl0_81
    | spl0_96
    | spl0_49
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f155,f215,f410,f642,f557]) ).

fof(f557,plain,
    ( spl0_81
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f642,plain,
    ( spl0_96
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

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

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | hskp16
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f989,plain,
    ( ~ spl0_4
    | spl0_13
    | spl0_99
    | spl0_62 ),
    inference(avatar_split_clause,[],[f190,f471,f658,f253,f215]) ).

fof(f190,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f988,plain,
    ( ~ spl0_96
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f110,f985,f642]) ).

fof(f110,axiom,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f983,plain,
    ( ~ spl0_4
    | spl0_37
    | spl0_120 ),
    inference(avatar_split_clause,[],[f166,f785,f358,f215]) ).

fof(f358,plain,
    ( spl0_37
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp13
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f982,plain,
    ( ~ spl0_155
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f137,f463,f979]) ).

fof(f463,plain,
    ( spl0_60
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f137,axiom,
    ( ~ hskp0
    | ~ c0_1(a1306) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f972,plain,
    ( ~ spl0_4
    | spl0_81
    | spl0_9
    | spl0_120 ),
    inference(avatar_split_clause,[],[f191,f785,f236,f557,f215]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | hskp17
      | ~ ndr1_0
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f971,plain,
    ( ~ spl0_33
    | spl0_153 ),
    inference(avatar_split_clause,[],[f74,f968,f339]) ).

fof(f339,plain,
    ( spl0_33
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f74,axiom,
    ( c1_1(a1331)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f966,plain,
    ( spl0_152
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f47,f349,f963]) ).

fof(f349,plain,
    ( spl0_35
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f47,axiom,
    ( ~ hskp30
    | c0_1(a1372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f961,plain,
    ( spl0_151
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f72,f557,f958]) ).

fof(f72,axiom,
    ( ~ hskp17
    | c3_1(a1334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f955,plain,
    ( ~ spl0_150
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f117,f429,f952]) ).

fof(f429,plain,
    ( spl0_53
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f117,axiom,
    ( ~ hskp12
    | ~ c0_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f950,plain,
    ( ~ spl0_15
    | spl0_149 ),
    inference(avatar_split_clause,[],[f70,f947,f261]) ).

fof(f261,plain,
    ( spl0_15
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f70,axiom,
    ( c1_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f940,plain,
    ( spl0_61
    | spl0_3
    | ~ spl0_4
    | spl0_64 ),
    inference(avatar_split_clause,[],[f174,f480,f215,f211,f467]) ).

fof(f211,plain,
    ( spl0_3
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | hskp8
      | ~ c2_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f938,plain,
    ( ~ spl0_4
    | spl0_29
    | spl0_119 ),
    inference(avatar_split_clause,[],[f143,f782,f323,f215]) ).

fof(f323,plain,
    ( spl0_29
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f143,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f937,plain,
    ( ~ spl0_4
    | spl0_33
    | spl0_74
    | spl0_14 ),
    inference(avatar_split_clause,[],[f146,f257,f525,f339,f215]) ).

fof(f257,plain,
    ( spl0_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp14
      | ~ c2_1(X0)
      | c3_1(X0)
      | hskp15
      | ~ ndr1_0
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f936,plain,
    ( ~ spl0_8
    | spl0_147 ),
    inference(avatar_split_clause,[],[f51,f933,f232]) ).

fof(f232,plain,
    ( spl0_8
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f51,axiom,
    ( c2_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f930,plain,
    ( spl0_146
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f55,f323,f927]) ).

fof(f55,axiom,
    ( ~ hskp28
    | c3_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f925,plain,
    ( ~ spl0_145
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f105,f414,f922]) ).

fof(f414,plain,
    ( spl0_50
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f105,axiom,
    ( ~ hskp19
    | ~ c2_1(a1344) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f920,plain,
    ( ~ spl0_144
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f99,f586,f917]) ).

fof(f586,plain,
    ( spl0_86
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f99,axiom,
    ( ~ hskp23
    | ~ c1_1(a1359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f915,plain,
    ( ~ spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f24,f215,f240]) ).

fof(f240,plain,
    ( spl0_10
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f24,axiom,
    ( ndr1_0
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f914,plain,
    ( ~ spl0_143
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f125,f512,f911]) ).

fof(f512,plain,
    ( spl0_71
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f125,axiom,
    ( ~ hskp7
    | ~ c2_1(a1316) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f909,plain,
    ( ~ spl0_71
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f126,f906,f512]) ).

fof(f126,axiom,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f904,plain,
    ( ~ spl0_14
    | spl0_141 ),
    inference(avatar_split_clause,[],[f76,f901,f257]) ).

fof(f76,axiom,
    ( c0_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f899,plain,
    ( ~ spl0_4
    | spl0_7
    | spl0_42
    | spl0_21 ),
    inference(avatar_split_clause,[],[f188,f287,f379,f229,f215]) ).

fof(f287,plain,
    ( spl0_21
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( hskp11
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f898,plain,
    ( ~ spl0_140
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f118,f287,f895]) ).

fof(f118,axiom,
    ( ~ hskp11
    | ~ c1_1(a1324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f893,plain,
    ( spl0_139
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f56,f265,f890]) ).

fof(f265,plain,
    ( spl0_16
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f56,axiom,
    ( ~ hskp27
    | c0_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f887,plain,
    ( ~ spl0_138
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f100,f586,f884]) ).

fof(f100,axiom,
    ( ~ hskp23
    | ~ c3_1(a1359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f882,plain,
    ( spl0_30
    | spl0_66
    | ~ spl0_4
    | spl0_119 ),
    inference(avatar_split_clause,[],[f194,f782,f215,f487,f328]) ).

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

fof(f877,plain,
    ( ~ spl0_136
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f94,f305,f874]) ).

fof(f305,plain,
    ( spl0_25
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f94,axiom,
    ( ~ hskp26
    | ~ c3_1(a1411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f872,plain,
    ( ~ spl0_21
    | spl0_135 ),
    inference(avatar_split_clause,[],[f80,f869,f287]) ).

fof(f80,axiom,
    ( c3_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f867,plain,
    ( spl0_4
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f19,f257,f215]) ).

fof(f19,axiom,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f865,plain,
    ( ~ spl0_134
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f97,f282,f862]) ).

fof(f282,plain,
    ( spl0_20
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f97,axiom,
    ( ~ hskp24
    | ~ c3_1(a1370) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f859,plain,
    ( ~ spl0_133
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f134,f270,f856]) ).

fof(f270,plain,
    ( spl0_17
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f134,axiom,
    ( ~ hskp2
    | ~ c2_1(a1309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f854,plain,
    ( ~ spl0_33
    | spl0_132 ),
    inference(avatar_split_clause,[],[f75,f851,f339]) ).

fof(f75,axiom,
    ( c2_1(a1331)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f849,plain,
    ( ~ spl0_4
    | spl0_74
    | spl0_61
    | spl0_18 ),
    inference(avatar_split_clause,[],[f198,f274,f467,f525,f215]) ).

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

fof(f848,plain,
    ( ~ spl0_131
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f139,f463,f845]) ).

fof(f139,axiom,
    ( ~ hskp0
    | ~ c2_1(a1306) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f842,plain,
    ( ~ spl0_2
    | spl0_130 ),
    inference(avatar_split_clause,[],[f66,f839,f206]) ).

fof(f206,plain,
    ( spl0_2
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f66,axiom,
    ( c1_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f837,plain,
    ( ~ spl0_60
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f138,f834,f463]) ).

fof(f138,axiom,
    ( ~ c1_1(a1306)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f832,plain,
    ( spl0_128
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f78,f429,f829]) ).

fof(f78,axiom,
    ( ~ hskp12
    | c3_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f821,plain,
    ( spl0_126
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f61,f319,f818]) ).

fof(f319,plain,
    ( spl0_28
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f61,axiom,
    ( ~ hskp25
    | c2_1(a1394) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f815,plain,
    ( spl0_125
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f60,f319,f812]) ).

fof(f60,axiom,
    ( ~ hskp25
    | c0_1(a1394) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f804,plain,
    ( ~ spl0_14
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f112,f801,f257]) ).

fof(f112,axiom,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f799,plain,
    ( spl0_122
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f57,f265,f796]) ).

fof(f57,axiom,
    ( ~ hskp27
    | c1_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f790,plain,
    ( ~ spl0_4
    | spl0_10
    | spl0_31
    | spl0_119 ),
    inference(avatar_split_clause,[],[f175,f782,f331,f240,f215]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | hskp9
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f789,plain,
    ( spl0_2
    | ~ spl0_4
    | spl0_20
    | spl0_66 ),
    inference(avatar_split_clause,[],[f162,f487,f282,f215,f206]) ).

fof(f162,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp24
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp20
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f788,plain,
    ( spl0_35
    | spl0_17
    | spl0_10 ),
    inference(avatar_split_clause,[],[f35,f240,f270,f349]) ).

fof(f35,axiom,
    ( hskp9
    | hskp2
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f772,plain,
    ( spl0_117
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f68,f414,f769]) ).

fof(f68,axiom,
    ( ~ hskp19
    | c0_1(a1344) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f767,plain,
    ( spl0_3
    | ~ spl0_4
    | spl0_71
    | spl0_43 ),
    inference(avatar_split_clause,[],[f148,f382,f512,f215,f211]) ).

fof(f148,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | hskp7
      | ~ ndr1_0
      | c1_1(X0)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f766,plain,
    ( spl0_22
    | ~ spl0_4
    | spl0_51
    | spl0_86 ),
    inference(avatar_split_clause,[],[f160,f586,f419,f215,f291]) ).

fof(f291,plain,
    ( spl0_22
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f160,axiom,
    ! [X0] :
      ( hskp23
      | ~ c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp22
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f765,plain,
    ( ~ spl0_23
    | spl0_116 ),
    inference(avatar_split_clause,[],[f85,f762,f296]) ).

fof(f296,plain,
    ( spl0_23
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f85,axiom,
    ( c3_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f759,plain,
    ( spl0_10
    | spl0_42
    | spl0_23
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f165,f215,f296,f379,f240]) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | hskp9
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f758,plain,
    ( ~ spl0_115
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f127,f296,f755]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c0_1(a1315) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f752,plain,
    ( ~ spl0_86
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f98,f749,f586]) ).

fof(f98,axiom,
    ( ~ c0_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f735,plain,
    ( ~ spl0_81
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f108,f732,f557]) ).

fof(f108,axiom,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f730,plain,
    ( ~ spl0_40
    | spl0_110 ),
    inference(avatar_split_clause,[],[f87,f727,f369]) ).

fof(f369,plain,
    ( spl0_40
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f87,axiom,
    ( c0_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f725,plain,
    ( spl0_43
    | spl0_8
    | ~ spl0_4
    | spl0_15 ),
    inference(avatar_split_clause,[],[f147,f261,f215,f232,f382]) ).

fof(f147,axiom,
    ! [X0] :
      ( hskp18
      | ~ ndr1_0
      | hskp29
      | c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f724,plain,
    ( ~ spl0_8
    | spl0_109 ),
    inference(avatar_split_clause,[],[f52,f721,f232]) ).

fof(f52,axiom,
    ( c3_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f719,plain,
    ( spl0_14
    | spl0_50
    | spl0_10 ),
    inference(avatar_split_clause,[],[f36,f240,f414,f257]) ).

fof(f36,axiom,
    ( hskp9
    | hskp19
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f718,plain,
    ( ~ spl0_4
    | spl0_108
    | spl0_14
    | spl0_96 ),
    inference(avatar_split_clause,[],[f153,f642,f257,f713,f215]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp16
      | hskp14
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f717,plain,
    ( ~ spl0_4
    | spl0_65
    | spl0_81
    | spl0_40 ),
    inference(avatar_split_clause,[],[f152,f369,f557,f483,f215]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp4
      | hskp17
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f716,plain,
    ( ~ spl0_4
    | spl0_38
    | spl0_31
    | spl0_108 ),
    inference(avatar_split_clause,[],[f193,f713,f331,f362,f215]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | c2_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f711,plain,
    ( ~ spl0_107
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f120,f240,f708]) ).

fof(f120,axiom,
    ( ~ hskp9
    | ~ c0_1(a1320) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f695,plain,
    ( ~ spl0_8
    | spl0_104 ),
    inference(avatar_split_clause,[],[f50,f692,f232]) ).

fof(f50,axiom,
    ( c1_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f689,plain,
    ( ~ spl0_4
    | spl0_74
    | spl0_61
    | spl0_7 ),
    inference(avatar_split_clause,[],[f200,f229,f467,f525,f215]) ).

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

fof(f688,plain,
    ( spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f2,f261,f206]) ).

fof(f2,axiom,
    ( hskp18
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f687,plain,
    ( spl0_103
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f73,f642,f684]) ).

fof(f73,axiom,
    ( ~ hskp16
    | c1_1(a1333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f679,plain,
    ( spl0_2
    | spl0_8
    | spl0_25 ),
    inference(avatar_split_clause,[],[f43,f305,f232,f206]) ).

fof(f43,axiom,
    ( hskp26
    | hskp29
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f677,plain,
    ( ~ spl0_40
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f132,f674,f369]) ).

fof(f132,axiom,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f672,plain,
    ( spl0_101
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f49,f349,f669]) ).

fof(f49,axiom,
    ( ~ hskp30
    | c3_1(a1372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f667,plain,
    ( ~ spl0_100
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f122,f211,f664]) ).

fof(f122,axiom,
    ( ~ hskp8
    | ~ c0_1(a1319) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f656,plain,
    ( spl0_98
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f58,f265,f653]) ).

fof(f58,axiom,
    ( ~ hskp27
    | c2_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f645,plain,
    ( ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f109,f642,f638]) ).

fof(f109,axiom,
    ( ~ hskp16
    | ~ c2_1(a1333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f636,plain,
    ( ~ spl0_53
    | spl0_94 ),
    inference(avatar_split_clause,[],[f77,f633,f429]) ).

fof(f77,axiom,
    ( c1_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f631,plain,
    ( spl0_33
    | ~ spl0_4
    | spl0_39
    | spl0_43 ),
    inference(avatar_split_clause,[],[f177,f382,f365,f215,f339]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp15
      | c1_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f630,plain,
    ( ~ spl0_3
    | spl0_93 ),
    inference(avatar_split_clause,[],[f84,f627,f211]) ).

fof(f84,axiom,
    ( c2_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f615,plain,
    ( ~ spl0_50
    | spl0_90 ),
    inference(avatar_split_clause,[],[f69,f612,f414]) ).

fof(f69,axiom,
    ( c1_1(a1344)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f609,plain,
    ( ~ spl0_89
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f106,f261,f606]) ).

fof(f106,axiom,
    ( ~ hskp18
    | ~ c0_1(a1339) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f595,plain,
    ( ~ spl0_87
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f95,f319,f592]) ).

fof(f95,axiom,
    ( ~ hskp25
    | ~ c3_1(a1394) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f584,plain,
    ( ~ spl0_2
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f104,f581,f206]) ).

fof(f104,axiom,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f578,plain,
    ( spl0_84
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f54,f323,f575]) ).

fof(f54,axiom,
    ( ~ hskp28
    | c2_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f571,plain,
    ( ~ spl0_22
    | spl0_83 ),
    inference(avatar_split_clause,[],[f64,f568,f291]) ).

fof(f64,axiom,
    ( c1_1(a1356)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f560,plain,
    ( spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f71,f557,f553]) ).

fof(f71,axiom,
    ( ~ hskp17
    | c2_1(a1334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f551,plain,
    ( ~ spl0_79
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f114,f358,f548]) ).

fof(f114,axiom,
    ( ~ hskp13
    | ~ c1_1(a1326) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f545,plain,
    ( ~ spl0_71
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f124,f542,f512]) ).

fof(f124,axiom,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f539,plain,
    ( spl0_66
    | ~ spl0_4
    | spl0_72
    | spl0_77 ),
    inference(avatar_split_clause,[],[f195,f537,f516,f215,f487]) ).

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

fof(f535,plain,
    ( ~ spl0_14
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f113,f532,f257]) ).

fof(f113,axiom,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f530,plain,
    ( ~ spl0_4
    | spl0_74
    | spl0_75
    | spl0_40 ),
    inference(avatar_split_clause,[],[f179,f369,f528,f525,f215]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( hskp4
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f518,plain,
    ( spl0_70
    | spl0_71
    | spl0_72
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f178,f215,f516,f512,f509]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | hskp7
      | ~ c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f507,plain,
    ( ~ spl0_69
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f115,f358,f504]) ).

fof(f115,axiom,
    ( ~ hskp13
    | ~ c2_1(a1326) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f502,plain,
    ( spl0_68
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f53,f323,f499]) ).

fof(f53,axiom,
    ( ~ hskp28
    | c0_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f497,plain,
    ( ~ spl0_17
    | spl0_67 ),
    inference(avatar_split_clause,[],[f91,f494,f270]) ).

fof(f91,axiom,
    ( c3_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f492,plain,
    ( spl0_53
    | ~ spl0_4
    | spl0_9
    | spl0_31 ),
    inference(avatar_split_clause,[],[f183,f331,f236,f215,f429]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f490,plain,
    ( spl0_15
    | ~ spl0_4
    | spl0_42
    | spl0_35 ),
    inference(avatar_split_clause,[],[f163,f349,f379,f215,f261]) ).

fof(f163,axiom,
    ! [X0] :
      ( hskp30
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f489,plain,
    ( ~ spl0_4
    | spl0_14
    | spl0_3
    | spl0_66 ),
    inference(avatar_split_clause,[],[f161,f487,f211,f257,f215]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp8
      | c3_1(X0)
      | ~ c0_1(X0)
      | hskp14
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f485,plain,
    ( spl0_10
    | ~ spl0_4
    | spl0_64
    | spl0_65 ),
    inference(avatar_split_clause,[],[f170,f483,f480,f215,f240]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp9
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f478,plain,
    ( ~ spl0_40
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f131,f475,f369]) ).

fof(f131,axiom,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f469,plain,
    ( spl0_59
    | ~ spl0_4
    | spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f186,f467,f463,f215,f460]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp0
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f452,plain,
    ( ~ spl0_17
    | spl0_57 ),
    inference(avatar_split_clause,[],[f90,f449,f270]) ).

fof(f90,axiom,
    ( c1_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f447,plain,
    ( ~ spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f123,f444,f211]) ).

fof(f123,axiom,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f442,plain,
    ( ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f79,f439,f287]) ).

fof(f79,axiom,
    ( c0_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f437,plain,
    ( ~ spl0_54
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f116,f358,f434]) ).

fof(f116,axiom,
    ( ~ hskp13
    | ~ c3_1(a1326) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f426,plain,
    ( spl0_52
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f62,f282,f423]) ).

fof(f62,axiom,
    ( ~ hskp24
    | c2_1(a1370) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f421,plain,
    ( spl0_22
    | spl0_17
    | ~ spl0_4
    | spl0_51 ),
    inference(avatar_split_clause,[],[f159,f419,f215,f270,f291]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c1_1(X0)
      | hskp2
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f417,plain,
    ( spl0_4
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f14,f414,f215]) ).

fof(f14,axiom,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f412,plain,
    ( ~ spl0_4
    | spl0_29
    | spl0_48
    | spl0_49 ),
    inference(avatar_split_clause,[],[f185,f410,f407,f323,f215]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | hskp28
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f405,plain,
    ( ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f63,f402,f291]) ).

fof(f63,axiom,
    ( c0_1(a1356)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f400,plain,
    ( ~ spl0_46
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f107,f261,f397]) ).

fof(f107,axiom,
    ( ~ hskp18
    | ~ c2_1(a1339) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f389,plain,
    ( ~ spl0_44
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f121,f240,f386]) ).

fof(f121,axiom,
    ( ~ hskp9
    | ~ c1_1(a1320) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f384,plain,
    ( ~ spl0_4
    | spl0_14
    | spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f180,f382,f379,f257,f215]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | hskp14
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f377,plain,
    ( ~ spl0_41
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f93,f305,f374]) ).

fof(f93,axiom,
    ( ~ hskp26
    | ~ c2_1(a1411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f356,plain,
    ( ~ spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f48,f353,f349]) ).

fof(f48,axiom,
    ( c1_1(a1372)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f347,plain,
    ( ~ spl0_34
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f101,f291,f344]) ).

fof(f101,axiom,
    ( ~ hskp22
    | ~ c3_1(a1356) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f342,plain,
    ( ~ spl0_32
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f111,f339,f335]) ).

fof(f111,axiom,
    ( ~ hskp15
    | ~ c3_1(a1331) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f333,plain,
    ( ~ spl0_4
    | spl0_21
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f171,f331,f328,f287,f215]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | hskp11
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f326,plain,
    ( spl0_28
    | spl0_29
    | spl0_14 ),
    inference(avatar_split_clause,[],[f37,f257,f323,f319]) ).

fof(f37,axiom,
    ( hskp14
    | hskp28
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f312,plain,
    ( ~ spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f59,f309,f305]) ).

fof(f59,axiom,
    ( c0_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f303,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f128,f300,f296]) ).

fof(f128,axiom,
    ( ~ c1_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f294,plain,
    ( spl0_21
    | spl0_22
    | spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f167,f215,f236,f291,f287]) ).

fof(f167,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | hskp22
      | hskp11
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f285,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f96,f282,f278]) ).

fof(f96,axiom,
    ( ~ hskp24
    | ~ c1_1(a1370) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f276,plain,
    ( spl0_17
    | spl0_18
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f156,f215,f206,f274,f270]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | c1_1(X0)
      | hskp2
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f268,plain,
    ( spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f34,f265,f261,f257]) ).

fof(f34,axiom,
    ( hskp27
    | hskp18
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f247,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f83,f244,f240]) ).

fof(f83,axiom,
    ( c2_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f238,plain,
    ( ~ spl0_4
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f192,f236,f232,f229,f215]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | hskp29
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f209,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f67,f206,f202]) ).

fof(f67,axiom,
    ( ~ hskp20
    | c2_1(a1348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN478-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:02:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (5251)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (5251)Instruction limit reached!
% 0.20/0.51  % (5251)------------------------------
% 0.20/0.51  % (5251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (5251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (5251)Termination reason: Unknown
% 0.20/0.51  % (5251)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (5251)Memory used [KB]: 6012
% 0.20/0.51  % (5251)Time elapsed: 0.004 s
% 0.20/0.51  % (5251)Instructions burned: 4 (million)
% 0.20/0.51  % (5251)------------------------------
% 0.20/0.51  % (5251)------------------------------
% 0.20/0.52  % (5267)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (5259)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.52  % (5244)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (5249)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (5260)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52  % (5239)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53  % (5242)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (5240)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (5252)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (5258)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (5266)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.54  % (5258)Instruction limit reached!
% 0.20/0.54  % (5258)------------------------------
% 0.20/0.54  % (5258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (5258)Termination reason: Unknown
% 0.20/0.54  % (5258)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (5258)Memory used [KB]: 1535
% 0.20/0.54  % (5258)Time elapsed: 0.005 s
% 0.20/0.54  % (5258)Instructions burned: 8 (million)
% 0.20/0.54  % (5258)------------------------------
% 0.20/0.54  % (5258)------------------------------
% 0.20/0.54  % (5246)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (5238)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (5250)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.54  % (5248)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (5262)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54  % (5250)Instruction limit reached!
% 0.20/0.54  % (5250)------------------------------
% 0.20/0.54  % (5250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5254)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (5263)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.54  % (5265)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.55  % (5248)Instruction limit reached!
% 0.20/0.55  % (5248)------------------------------
% 0.20/0.55  % (5248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5247)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (5240)Instruction limit reached!
% 0.20/0.55  % (5240)------------------------------
% 0.20/0.55  % (5240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5240)Termination reason: Unknown
% 0.20/0.55  % (5240)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (5240)Memory used [KB]: 6012
% 0.20/0.55  % (5240)Time elapsed: 0.003 s
% 0.20/0.55  % (5240)Instructions burned: 4 (million)
% 0.20/0.55  % (5240)------------------------------
% 0.20/0.55  % (5240)------------------------------
% 0.20/0.55  % (5261)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.55/0.55  % (5257)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.55/0.55  % (5250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55  % (5250)Termination reason: Unknown
% 1.55/0.55  % (5250)Termination phase: Saturation
% 1.55/0.55  
% 1.55/0.55  % (5250)Memory used [KB]: 6268
% 1.55/0.55  % (5250)Time elapsed: 0.005 s
% 1.55/0.55  % (5250)Instructions burned: 5 (million)
% 1.55/0.55  % (5250)------------------------------
% 1.55/0.55  % (5250)------------------------------
% 1.55/0.55  % (5246)Instruction limit reached!
% 1.55/0.55  % (5246)------------------------------
% 1.55/0.55  % (5246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55  % (5246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55  % (5246)Termination reason: Unknown
% 1.55/0.55  % (5246)Termination phase: Saturation
% 1.55/0.55  
% 1.55/0.55  % (5246)Memory used [KB]: 6268
% 1.55/0.55  % (5246)Time elapsed: 0.006 s
% 1.55/0.55  % (5246)Instructions burned: 4 (million)
% 1.55/0.55  % (5246)------------------------------
% 1.55/0.55  % (5246)------------------------------
% 1.55/0.55  % (5243)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.55/0.55  % (5253)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.55/0.55  % (5241)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.55/0.56  % (5253)Instruction limit reached!
% 1.55/0.56  % (5253)------------------------------
% 1.55/0.56  % (5253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (5253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (5253)Termination reason: Unknown
% 1.55/0.56  % (5253)Termination phase: Finite model building preprocessing
% 1.55/0.56  
% 1.55/0.56  % (5253)Memory used [KB]: 6140
% 1.55/0.56  % (5253)Time elapsed: 0.004 s
% 1.55/0.56  % (5253)Instructions burned: 6 (million)
% 1.55/0.56  % (5253)------------------------------
% 1.55/0.56  % (5253)------------------------------
% 1.55/0.56  % (5254)Instruction limit reached!
% 1.55/0.56  % (5254)------------------------------
% 1.55/0.56  % (5254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (5254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (5254)Termination reason: Unknown
% 1.55/0.56  % (5254)Termination phase: Saturation
% 1.55/0.56  
% 1.55/0.56  % (5254)Memory used [KB]: 6012
% 1.55/0.56  % (5254)Time elapsed: 0.004 s
% 1.55/0.56  % (5254)Instructions burned: 3 (million)
% 1.55/0.56  % (5254)------------------------------
% 1.55/0.56  % (5254)------------------------------
% 1.55/0.56  % (5248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (5248)Termination reason: Unknown
% 1.55/0.56  % (5248)Termination phase: Saturation
% 1.55/0.56  
% 1.55/0.56  % (5248)Memory used [KB]: 6012
% 1.55/0.56  % (5248)Time elapsed: 0.006 s
% 1.55/0.56  % (5248)Instructions burned: 6 (million)
% 1.55/0.56  % (5248)------------------------------
% 1.55/0.56  % (5248)------------------------------
% 1.55/0.56  % (5245)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.55/0.56  % (5256)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.55/0.56  % (5264)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.55/0.57  % (5255)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.55/0.57  % (5257)Instruction limit reached!
% 1.55/0.57  % (5257)------------------------------
% 1.55/0.57  % (5257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57  % (5257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57  % (5257)Termination reason: Unknown
% 1.55/0.57  % (5257)Termination phase: Saturation
% 1.55/0.57  
% 1.55/0.57  % (5257)Memory used [KB]: 6396
% 1.55/0.57  % (5257)Time elapsed: 0.005 s
% 1.55/0.57  % (5257)Instructions burned: 7 (million)
% 1.55/0.57  % (5257)------------------------------
% 1.55/0.57  % (5257)------------------------------
% 1.74/0.57  % (5255)Instruction limit reached!
% 1.74/0.57  % (5255)------------------------------
% 1.74/0.57  % (5255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (5255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57  % (5255)Termination reason: Unknown
% 1.74/0.57  % (5255)Termination phase: Saturation
% 1.74/0.57  
% 1.74/0.57  % (5255)Memory used [KB]: 6524
% 1.74/0.57  % (5255)Time elapsed: 0.165 s
% 1.74/0.57  % (5255)Instructions burned: 9 (million)
% 1.74/0.57  % (5255)------------------------------
% 1.74/0.57  % (5255)------------------------------
% 1.74/0.57  % (5249)Instruction limit reached!
% 1.74/0.57  % (5249)------------------------------
% 1.74/0.57  % (5249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57  % (5249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57  % (5249)Termination reason: Unknown
% 1.74/0.57  % (5249)Termination phase: Saturation
% 1.74/0.57  
% 1.74/0.57  % (5249)Memory used [KB]: 6396
% 1.74/0.57  % (5249)Time elapsed: 0.165 s
% 1.74/0.57  % (5249)Instructions burned: 24 (million)
% 1.74/0.57  % (5249)------------------------------
% 1.74/0.57  % (5249)------------------------------
% 1.74/0.58  % (5243)Instruction limit reached!
% 1.74/0.58  % (5243)------------------------------
% 1.74/0.58  % (5243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (5243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (5243)Termination reason: Unknown
% 1.74/0.58  % (5243)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (5243)Memory used [KB]: 6780
% 1.74/0.58  % (5243)Time elapsed: 0.163 s
% 1.74/0.58  % (5243)Instructions burned: 25 (million)
% 1.74/0.58  % (5243)------------------------------
% 1.74/0.58  % (5243)------------------------------
% 1.74/0.58  % (5259)First to succeed.
% 1.74/0.58  % (5239)Instruction limit reached!
% 1.74/0.58  % (5239)------------------------------
% 1.74/0.58  % (5239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (5239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (5239)Termination reason: Unknown
% 1.74/0.58  % (5239)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (5239)Memory used [KB]: 1791
% 1.74/0.58  % (5239)Time elapsed: 0.160 s
% 1.74/0.58  % (5239)Instructions burned: 43 (million)
% 1.74/0.58  % (5239)------------------------------
% 1.74/0.58  % (5239)------------------------------
% 1.74/0.58  % (5266)Instruction limit reached!
% 1.74/0.58  % (5266)------------------------------
% 1.74/0.58  % (5266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (5266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (5266)Termination reason: Unknown
% 1.74/0.58  % (5266)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (5266)Memory used [KB]: 6652
% 1.74/0.58  % (5266)Time elapsed: 0.185 s
% 1.74/0.58  % (5266)Instructions burned: 21 (million)
% 1.74/0.58  % (5266)------------------------------
% 1.74/0.58  % (5266)------------------------------
% 1.74/0.58  % (5252)Instruction limit reached!
% 1.74/0.58  % (5252)------------------------------
% 1.74/0.58  % (5252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (5252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (5252)Termination reason: Unknown
% 1.74/0.58  % (5252)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (5252)Memory used [KB]: 1663
% 1.74/0.58  % (5252)Time elapsed: 0.096 s
% 1.74/0.58  % (5252)Instructions burned: 29 (million)
% 1.74/0.58  % (5252)------------------------------
% 1.74/0.58  % (5252)------------------------------
% 1.74/0.59  % (5259)Refutation found. Thanks to Tanya!
% 1.74/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.74/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.60  % (5259)------------------------------
% 1.74/0.60  % (5259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60  % (5259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60  % (5259)Termination reason: Refutation
% 1.74/0.60  
% 1.74/0.60  % (5259)Memory used [KB]: 7036
% 1.74/0.60  % (5259)Time elapsed: 0.160 s
% 1.74/0.60  % (5259)Instructions burned: 31 (million)
% 1.74/0.60  % (5259)------------------------------
% 1.74/0.60  % (5259)------------------------------
% 1.74/0.60  % (5237)Success in time 0.232 s
%------------------------------------------------------------------------------