TSTP Solution File: SYN509-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN509-1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:23:23 EDT 2024

% Result   : Unsatisfiable 0.84s 0.94s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  247
% Syntax   : Number of formulae    :  560 (   1 unt;   0 def)
%            Number of atoms       : 1781 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2104 ( 883   ~;1085   |;   0   &)
%                                         ( 136 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  165 ( 164 usr; 161 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  119 ( 119   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1805,plain,
    $false,
    inference(avatar_sat_refutation,[],[f313,f323,f358,f364,f366,f368,f369,f374,f379,f384,f389,f394,f399,f404,f414,f419,f424,f429,f434,f439,f444,f449,f479,f484,f489,f494,f499,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f584,f589,f594,f614,f619,f624,f629,f634,f659,f664,f684,f689,f704,f709,f714,f719,f724,f729,f734,f739,f744,f749,f754,f759,f764,f769,f774,f794,f799,f804,f809,f814,f819,f824,f829,f834,f838,f842,f852,f857,f868,f873,f878,f882,f886,f890,f894,f898,f900,f904,f931,f935,f939,f947,f954,f956,f958,f962,f964,f965,f969,f970,f976,f977,f990,f991,f992,f994,f996,f997,f1000,f1001,f1018,f1023,f1044,f1059,f1066,f1091,f1092,f1098,f1109,f1115,f1127,f1135,f1150,f1153,f1157,f1167,f1168,f1175,f1183,f1218,f1223,f1253,f1270,f1271,f1272,f1288,f1296,f1297,f1309,f1347,f1364,f1365,f1367,f1373,f1384,f1385,f1393,f1394,f1412,f1413,f1420,f1421,f1426,f1429,f1471,f1502,f1503,f1529,f1564,f1583,f1585,f1586,f1624,f1632,f1633,f1639,f1675,f1689,f1690,f1725,f1751,f1753,f1755,f1758,f1760,f1764,f1767,f1804]) ).

fof(f1804,plain,
    ( spl0_82
    | spl0_185
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1796,f840,f426,f1627,f616]) ).

fof(f616,plain,
    ( spl0_82
  <=> c0_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1627,plain,
    ( spl0_185
  <=> c1_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f426,plain,
    ( spl0_44
  <=> c2_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f840,plain,
    ( spl0_127
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1796,plain,
    ( c1_1(a489)
    | c0_1(a489)
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(resolution,[],[f841,f428]) ).

fof(f428,plain,
    ( c2_1(a489)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f841,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f1767,plain,
    ( spl0_82
    | ~ spl0_185
    | ~ spl0_44
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1766,f967,f426,f1627,f616]) ).

fof(f967,plain,
    ( spl0_153
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1766,plain,
    ( ~ c1_1(a489)
    | c0_1(a489)
    | ~ spl0_44
    | ~ spl0_153 ),
    inference(resolution,[],[f428,f968]) ).

fof(f968,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f1764,plain,
    ( spl0_169
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1763,f967,f391,f386,f1122]) ).

fof(f1122,plain,
    ( spl0_169
  <=> c0_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f386,plain,
    ( spl0_36
  <=> c1_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f391,plain,
    ( spl0_37
  <=> c2_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1763,plain,
    ( ~ c1_1(a447)
    | c0_1(a447)
    | ~ spl0_37
    | ~ spl0_153 ),
    inference(resolution,[],[f393,f968]) ).

fof(f393,plain,
    ( c2_1(a447)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f1760,plain,
    ( spl0_109
    | ~ spl0_159
    | ~ spl0_68
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1733,f967,f546,f1020,f751]) ).

fof(f751,plain,
    ( spl0_109
  <=> c0_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1020,plain,
    ( spl0_159
  <=> c1_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f546,plain,
    ( spl0_68
  <=> c2_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1733,plain,
    ( ~ c1_1(a444)
    | c0_1(a444)
    | ~ spl0_68
    | ~ spl0_153 ),
    inference(resolution,[],[f968,f548]) ).

fof(f548,plain,
    ( c2_1(a444)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f1758,plain,
    ( spl0_117
    | ~ spl0_75
    | ~ spl0_153
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1735,f1220,f967,f581,f791]) ).

fof(f791,plain,
    ( spl0_117
  <=> c0_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f581,plain,
    ( spl0_75
  <=> c1_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1220,plain,
    ( spl0_174
  <=> c2_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1735,plain,
    ( ~ c1_1(a435)
    | c0_1(a435)
    | ~ spl0_153
    | ~ spl0_174 ),
    inference(resolution,[],[f968,f1222]) ).

fof(f1222,plain,
    ( c2_1(a435)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1220]) ).

fof(f1755,plain,
    ( ~ spl0_167
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1475,f896,f411,f401,f1106]) ).

fof(f1106,plain,
    ( spl0_167
  <=> c1_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f401,plain,
    ( spl0_39
  <=> c0_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f411,plain,
    ( spl0_41
  <=> c3_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

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

fof(f1475,plain,
    ( ~ c0_1(a437)
    | ~ c1_1(a437)
    | ~ spl0_41
    | ~ spl0_139 ),
    inference(resolution,[],[f897,f413]) ).

fof(f413,plain,
    ( c3_1(a437)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f411]) ).

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

fof(f1753,plain,
    ( spl0_124
    | ~ spl0_177
    | ~ spl0_77
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1745,f972,f591,f1255,f826]) ).

fof(f826,plain,
    ( spl0_124
  <=> c0_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1255,plain,
    ( spl0_177
  <=> c1_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f591,plain,
    ( spl0_77
  <=> c3_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f972,plain,
    ( spl0_154
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1745,plain,
    ( ~ c1_1(a432)
    | c0_1(a432)
    | ~ spl0_77
    | ~ spl0_154 ),
    inference(resolution,[],[f973,f593]) ).

fof(f593,plain,
    ( c3_1(a432)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f973,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f1751,plain,
    ( spl0_101
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1743,f972,f531,f526,f711]) ).

fof(f711,plain,
    ( spl0_101
  <=> c0_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f526,plain,
    ( spl0_64
  <=> c1_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f531,plain,
    ( spl0_65
  <=> c3_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1743,plain,
    ( ~ c1_1(a450)
    | c0_1(a450)
    | ~ spl0_65
    | ~ spl0_154 ),
    inference(resolution,[],[f973,f533]) ).

fof(f533,plain,
    ( c3_1(a450)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1725,plain,
    ( spl0_173
    | spl0_85
    | ~ spl0_48
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1716,f937,f446,f631,f1215]) ).

fof(f1215,plain,
    ( spl0_173
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f631,plain,
    ( spl0_85
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f446,plain,
    ( spl0_48
  <=> c1_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f937,plain,
    ( spl0_148
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1716,plain,
    ( c3_1(a484)
    | c0_1(a484)
    | ~ spl0_48
    | ~ spl0_148 ),
    inference(resolution,[],[f938,f448]) ).

fof(f448,plain,
    ( c1_1(a484)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f938,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f1690,plain,
    ( spl0_83
    | ~ spl0_46
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1680,f967,f441,f436,f621]) ).

fof(f621,plain,
    ( spl0_83
  <=> c0_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f436,plain,
    ( spl0_46
  <=> c1_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f441,plain,
    ( spl0_47
  <=> c2_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1680,plain,
    ( ~ c1_1(a486)
    | c0_1(a486)
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(resolution,[],[f968,f443]) ).

fof(f443,plain,
    ( c2_1(a486)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1689,plain,
    ( spl0_172
    | ~ spl0_42
    | ~ spl0_43
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1679,f967,f421,f416,f1191]) ).

fof(f1191,plain,
    ( spl0_172
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f416,plain,
    ( spl0_42
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f421,plain,
    ( spl0_43
  <=> c2_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1679,plain,
    ( ~ c1_1(a492)
    | c0_1(a492)
    | ~ spl0_43
    | ~ spl0_153 ),
    inference(resolution,[],[f968,f423]) ).

fof(f423,plain,
    ( c2_1(a492)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1675,plain,
    ( spl0_85
    | ~ spl0_48
    | spl0_84
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1662,f960,f626,f446,f631]) ).

fof(f626,plain,
    ( spl0_84
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f960,plain,
    ( spl0_152
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1662,plain,
    ( ~ c1_1(a484)
    | c3_1(a484)
    | spl0_84
    | ~ spl0_152 ),
    inference(resolution,[],[f961,f628]) ).

fof(f628,plain,
    ( ~ c2_1(a484)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f961,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f1639,plain,
    ( spl0_112
    | ~ spl0_176
    | ~ spl0_69
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1551,f925,f551,f1233,f766]) ).

fof(f766,plain,
    ( spl0_112
  <=> c2_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1233,plain,
    ( spl0_176
  <=> c0_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f551,plain,
    ( spl0_69
  <=> c3_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f925,plain,
    ( spl0_145
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1551,plain,
    ( ~ c0_1(a443)
    | c2_1(a443)
    | ~ spl0_69
    | ~ spl0_145 ),
    inference(resolution,[],[f926,f553]) ).

fof(f553,plain,
    ( c3_1(a443)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1633,plain,
    ( spl0_177
    | spl0_125
    | ~ spl0_77
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1622,f945,f591,f831,f1255]) ).

fof(f831,plain,
    ( spl0_125
  <=> c2_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f945,plain,
    ( spl0_150
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1622,plain,
    ( c2_1(a432)
    | c1_1(a432)
    | ~ spl0_77
    | ~ spl0_150 ),
    inference(resolution,[],[f946,f593]) ).

fof(f946,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f1632,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_69
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1621,f945,f551,f766,f761]) ).

fof(f761,plain,
    ( spl0_111
  <=> c1_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1621,plain,
    ( c2_1(a443)
    | c1_1(a443)
    | ~ spl0_69
    | ~ spl0_150 ),
    inference(resolution,[],[f946,f553]) ).

fof(f1624,plain,
    ( spl0_142
    | ~ spl0_126
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1623,f945,f836,f911]) ).

fof(f911,plain,
    ( spl0_142
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f836,plain,
    ( spl0_126
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1623,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_150 ),
    inference(duplicate_literal_removal,[],[f1614]) ).

fof(f1614,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_150 ),
    inference(resolution,[],[f946,f837]) ).

fof(f837,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f1586,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_75
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1581,f937,f581,f796,f791]) ).

fof(f796,plain,
    ( spl0_118
  <=> c3_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1581,plain,
    ( c3_1(a435)
    | c0_1(a435)
    | ~ spl0_75
    | ~ spl0_148 ),
    inference(resolution,[],[f938,f583]) ).

fof(f583,plain,
    ( c1_1(a435)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f1585,plain,
    ( spl0_109
    | spl0_110
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1579,f1020,f937,f756,f751]) ).

fof(f756,plain,
    ( spl0_110
  <=> c3_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1579,plain,
    ( c3_1(a444)
    | c0_1(a444)
    | ~ spl0_148
    | ~ spl0_159 ),
    inference(resolution,[],[f938,f1022]) ).

fof(f1022,plain,
    ( c1_1(a444)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1583,plain,
    ( spl0_83
    | spl0_162
    | ~ spl0_46
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1575,f937,f436,f1056,f621]) ).

fof(f1056,plain,
    ( spl0_162
  <=> c3_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1575,plain,
    ( c3_1(a486)
    | c0_1(a486)
    | ~ spl0_46
    | ~ spl0_148 ),
    inference(resolution,[],[f938,f438]) ).

fof(f438,plain,
    ( c1_1(a486)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f1564,plain,
    ( spl0_90
    | spl0_91
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1556,f929,f476,f661,f656]) ).

fof(f656,plain,
    ( spl0_90
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f661,plain,
    ( spl0_91
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f476,plain,
    ( spl0_54
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f929,plain,
    ( spl0_146
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1556,plain,
    ( c2_1(a467)
    | c1_1(a467)
    | ~ spl0_54
    | ~ spl0_146 ),
    inference(resolution,[],[f930,f478]) ).

fof(f478,plain,
    ( c0_1(a467)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f930,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f1529,plain,
    ( spl0_108
    | spl0_106
    | spl0_107
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1519,f919,f741,f736,f746]) ).

fof(f746,plain,
    ( spl0_108
  <=> c3_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f736,plain,
    ( spl0_106
  <=> c0_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f741,plain,
    ( spl0_107
  <=> c1_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f919,plain,
    ( spl0_144
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1519,plain,
    ( c0_1(a445)
    | c3_1(a445)
    | spl0_107
    | ~ spl0_144 ),
    inference(resolution,[],[f920,f743]) ).

fof(f743,plain,
    ( ~ c1_1(a445)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f920,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f1503,plain,
    ( spl0_102
    | ~ spl0_158
    | ~ spl0_66
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1496,f916,f536,f1015,f716]) ).

fof(f716,plain,
    ( spl0_102
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1015,plain,
    ( spl0_158
  <=> c0_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f536,plain,
    ( spl0_66
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f916,plain,
    ( spl0_143
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1496,plain,
    ( ~ c0_1(a449)
    | c1_1(a449)
    | ~ spl0_66
    | ~ spl0_143 ),
    inference(resolution,[],[f917,f538]) ).

fof(f538,plain,
    ( c2_1(a449)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f917,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f1502,plain,
    ( spl0_95
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1494,f916,f486,f481,f681]) ).

fof(f681,plain,
    ( spl0_95
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f481,plain,
    ( spl0_55
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f486,plain,
    ( spl0_56
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1494,plain,
    ( ~ c0_1(a463)
    | c1_1(a463)
    | ~ spl0_56
    | ~ spl0_143 ),
    inference(resolution,[],[f917,f488]) ).

fof(f488,plain,
    ( c2_1(a463)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1471,plain,
    ( spl0_84
    | ~ spl0_173
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1463,f880,f446,f1215,f626]) ).

fof(f880,plain,
    ( spl0_135
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1463,plain,
    ( ~ c0_1(a484)
    | c2_1(a484)
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(resolution,[],[f881,f448]) ).

fof(f881,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1429,plain,
    ( spl0_169
    | ~ spl0_37
    | ~ spl0_38
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1418,f870,f396,f391,f1122]) ).

fof(f396,plain,
    ( spl0_38
  <=> c3_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f870,plain,
    ( spl0_133
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1418,plain,
    ( ~ c2_1(a447)
    | c0_1(a447)
    | ~ spl0_38
    | ~ spl0_133 ),
    inference(resolution,[],[f398,f871]) ).

fof(f871,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f398,plain,
    ( c3_1(a447)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1426,plain,
    ( spl0_82
    | ~ spl0_44
    | ~ spl0_45
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1424,f870,f431,f426,f616]) ).

fof(f431,plain,
    ( spl0_45
  <=> c3_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1424,plain,
    ( ~ c2_1(a489)
    | c0_1(a489)
    | ~ spl0_45
    | ~ spl0_133 ),
    inference(resolution,[],[f433,f871]) ).

fof(f433,plain,
    ( c3_1(a489)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f1421,plain,
    ( ~ spl0_37
    | ~ spl0_169
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1417,f902,f396,f1122,f391]) ).

fof(f902,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1417,plain,
    ( ~ c0_1(a447)
    | ~ c2_1(a447)
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(resolution,[],[f398,f903]) ).

fof(f903,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f1420,plain,
    ( ~ spl0_37
    | ~ spl0_36
    | ~ spl0_38
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1416,f907,f396,f386,f391]) ).

fof(f907,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1416,plain,
    ( ~ c1_1(a447)
    | ~ c2_1(a447)
    | ~ spl0_38
    | ~ spl0_141 ),
    inference(resolution,[],[f398,f908]) ).

fof(f908,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f1413,plain,
    ( spl0_96
    | ~ spl0_171
    | ~ spl0_58
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1348,f925,f496,f1180,f686]) ).

fof(f686,plain,
    ( spl0_96
  <=> c2_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1180,plain,
    ( spl0_171
  <=> c0_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f496,plain,
    ( spl0_58
  <=> c3_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1348,plain,
    ( ~ c0_1(a457)
    | c2_1(a457)
    | ~ spl0_58
    | ~ spl0_145 ),
    inference(resolution,[],[f926,f498]) ).

fof(f498,plain,
    ( c3_1(a457)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f1412,plain,
    ( spl0_90
    | ~ spl0_54
    | ~ spl0_134
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1410,f1361,f875,f476,f656]) ).

fof(f875,plain,
    ( spl0_134
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1361,plain,
    ( spl0_178
  <=> c3_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1410,plain,
    ( ~ c0_1(a467)
    | c1_1(a467)
    | ~ spl0_134
    | ~ spl0_178 ),
    inference(resolution,[],[f1363,f876]) ).

fof(f876,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1363,plain,
    ( c3_1(a467)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1361]) ).

fof(f1394,plain,
    ( spl0_95
    | ~ spl0_55
    | ~ spl0_134
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1392,f1088,f875,f481,f681]) ).

fof(f1088,plain,
    ( spl0_165
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1392,plain,
    ( ~ c0_1(a463)
    | c1_1(a463)
    | ~ spl0_134
    | ~ spl0_165 ),
    inference(resolution,[],[f1090,f876]) ).

fof(f1090,plain,
    ( c3_1(a463)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1393,plain,
    ( ~ spl0_56
    | ~ spl0_55
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1389,f1088,f902,f481,f486]) ).

fof(f1389,plain,
    ( ~ c0_1(a463)
    | ~ c2_1(a463)
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(resolution,[],[f1090,f903]) ).

fof(f1385,plain,
    ( spl0_104
    | spl0_105
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1380,f850,f541,f731,f726]) ).

fof(f726,plain,
    ( spl0_104
  <=> c0_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f731,plain,
    ( spl0_105
  <=> c2_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f541,plain,
    ( spl0_67
  <=> c1_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f850,plain,
    ( spl0_129
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1380,plain,
    ( c2_1(a448)
    | c0_1(a448)
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(resolution,[],[f851,f543]) ).

fof(f543,plain,
    ( c1_1(a448)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f851,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1384,plain,
    ( spl0_171
    | spl0_96
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1378,f850,f491,f686,f1180]) ).

fof(f491,plain,
    ( spl0_57
  <=> c1_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1378,plain,
    ( c2_1(a457)
    | c0_1(a457)
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(resolution,[],[f851,f493]) ).

fof(f493,plain,
    ( c1_1(a457)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1373,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_76
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1358,f933,f586,f806,f801]) ).

fof(f801,plain,
    ( spl0_119
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f806,plain,
    ( spl0_120
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f586,plain,
    ( spl0_76
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f933,plain,
    ( spl0_147
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1358,plain,
    ( c3_1(a434)
    | c1_1(a434)
    | ~ spl0_76
    | ~ spl0_147 ),
    inference(resolution,[],[f934,f588]) ).

fof(f588,plain,
    ( c0_1(a434)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f934,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f1367,plain,
    ( spl0_166
    | spl0_113
    | ~ spl0_70
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1356,f933,f556,f771,f1095]) ).

fof(f1095,plain,
    ( spl0_166
  <=> c1_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f771,plain,
    ( spl0_113
  <=> c3_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f556,plain,
    ( spl0_70
  <=> c0_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1356,plain,
    ( c3_1(a442)
    | c1_1(a442)
    | ~ spl0_70
    | ~ spl0_147 ),
    inference(resolution,[],[f934,f558]) ).

fof(f558,plain,
    ( c0_1(a442)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f1365,plain,
    ( spl0_95
    | spl0_165
    | ~ spl0_55
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1353,f933,f481,f1088,f681]) ).

fof(f1353,plain,
    ( c3_1(a463)
    | c1_1(a463)
    | ~ spl0_55
    | ~ spl0_147 ),
    inference(resolution,[],[f934,f483]) ).

fof(f483,plain,
    ( c0_1(a463)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1364,plain,
    ( spl0_90
    | spl0_178
    | ~ spl0_54
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1352,f933,f476,f1361,f656]) ).

fof(f1352,plain,
    ( c3_1(a467)
    | c1_1(a467)
    | ~ spl0_54
    | ~ spl0_147 ),
    inference(resolution,[],[f934,f478]) ).

fof(f1347,plain,
    ( spl0_122
    | spl0_121
    | spl0_123
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1337,f911,f821,f811,f816]) ).

fof(f816,plain,
    ( spl0_122
  <=> c1_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f811,plain,
    ( spl0_121
  <=> c0_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f821,plain,
    ( spl0_123
  <=> c2_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1337,plain,
    ( c0_1(a433)
    | c1_1(a433)
    | spl0_123
    | ~ spl0_142 ),
    inference(resolution,[],[f912,f823]) ).

fof(f823,plain,
    ( ~ c2_1(a433)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f912,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1309,plain,
    ( spl0_164
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1307,f870,f521,f516,f1070]) ).

fof(f1070,plain,
    ( spl0_164
  <=> c0_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f516,plain,
    ( spl0_62
  <=> c2_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f521,plain,
    ( spl0_63
  <=> c3_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1307,plain,
    ( ~ c2_1(a451)
    | c0_1(a451)
    | ~ spl0_63
    | ~ spl0_133 ),
    inference(resolution,[],[f523,f871]) ).

fof(f523,plain,
    ( c3_1(a451)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f1297,plain,
    ( spl0_165
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1292,f888,f486,f481,f1088]) ).

fof(f888,plain,
    ( spl0_137
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1292,plain,
    ( ~ c0_1(a463)
    | c3_1(a463)
    | ~ spl0_56
    | ~ spl0_137 ),
    inference(resolution,[],[f889,f488]) ).

fof(f889,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f1296,plain,
    ( spl0_81
    | ~ spl0_172
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1290,f888,f421,f1191,f611]) ).

fof(f611,plain,
    ( spl0_81
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1290,plain,
    ( ~ c0_1(a492)
    | c3_1(a492)
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(resolution,[],[f889,f423]) ).

fof(f1288,plain,
    ( spl0_99
    | ~ spl0_60
    | ~ spl0_61
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1284,f880,f511,f506,f701]) ).

fof(f701,plain,
    ( spl0_99
  <=> c2_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f506,plain,
    ( spl0_60
  <=> c0_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f511,plain,
    ( spl0_61
  <=> c1_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1284,plain,
    ( ~ c0_1(a452)
    | c2_1(a452)
    | ~ spl0_61
    | ~ spl0_135 ),
    inference(resolution,[],[f881,f513]) ).

fof(f513,plain,
    ( c1_1(a452)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1272,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_77
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1266,f855,f591,f831,f826]) ).

fof(f855,plain,
    ( spl0_130
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1266,plain,
    ( c2_1(a432)
    | c0_1(a432)
    | ~ spl0_77
    | ~ spl0_130 ),
    inference(resolution,[],[f856,f593]) ).

fof(f856,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f1271,plain,
    ( spl0_176
    | spl0_112
    | ~ spl0_69
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1265,f855,f551,f766,f1233]) ).

fof(f1265,plain,
    ( c2_1(a443)
    | c0_1(a443)
    | ~ spl0_69
    | ~ spl0_130 ),
    inference(resolution,[],[f856,f553]) ).

fof(f1270,plain,
    ( spl0_171
    | spl0_96
    | ~ spl0_58
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1264,f855,f496,f686,f1180]) ).

fof(f1264,plain,
    ( c2_1(a457)
    | c0_1(a457)
    | ~ spl0_58
    | ~ spl0_130 ),
    inference(resolution,[],[f856,f498]) ).

fof(f1253,plain,
    ( spl0_96
    | ~ spl0_57
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1247,f884,f496,f491,f686]) ).

fof(f884,plain,
    ( spl0_136
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1247,plain,
    ( ~ c1_1(a457)
    | c2_1(a457)
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(resolution,[],[f885,f498]) ).

fof(f885,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f1223,plain,
    ( spl0_174
    | spl0_117
    | spl0_118
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1210,f836,f796,f791,f1220]) ).

fof(f1210,plain,
    ( c0_1(a435)
    | c2_1(a435)
    | spl0_118
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f798]) ).

fof(f798,plain,
    ( ~ c3_1(a435)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f1218,plain,
    ( spl0_84
    | spl0_173
    | spl0_85
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1203,f836,f631,f1215,f626]) ).

fof(f1203,plain,
    ( c0_1(a484)
    | c2_1(a484)
    | spl0_85
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f633]) ).

fof(f633,plain,
    ( ~ c3_1(a484)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f1183,plain,
    ( ~ spl0_57
    | ~ spl0_171
    | ~ spl0_58
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1176,f896,f496,f1180,f491]) ).

fof(f1176,plain,
    ( ~ c0_1(a457)
    | ~ c1_1(a457)
    | ~ spl0_58
    | ~ spl0_139 ),
    inference(resolution,[],[f498,f897]) ).

fof(f1175,plain,
    ( spl0_81
    | ~ spl0_42
    | ~ spl0_43
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1174,f892,f421,f416,f611]) ).

fof(f892,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1174,plain,
    ( ~ c1_1(a492)
    | c3_1(a492)
    | ~ spl0_43
    | ~ spl0_138 ),
    inference(resolution,[],[f423,f893]) ).

fof(f893,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f1168,plain,
    ( ~ spl0_36
    | ~ spl0_169
    | ~ spl0_38
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1162,f896,f396,f1122,f386]) ).

fof(f1162,plain,
    ( ~ c0_1(a447)
    | ~ c1_1(a447)
    | ~ spl0_38
    | ~ spl0_139 ),
    inference(resolution,[],[f897,f398]) ).

fof(f1167,plain,
    ( ~ spl0_34
    | ~ spl0_33
    | ~ spl0_139
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1161,f1147,f896,f371,f376]) ).

fof(f376,plain,
    ( spl0_34
  <=> c1_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f371,plain,
    ( spl0_33
  <=> c0_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1147,plain,
    ( spl0_170
  <=> c3_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1161,plain,
    ( ~ c0_1(a456)
    | ~ c1_1(a456)
    | ~ spl0_139
    | ~ spl0_170 ),
    inference(resolution,[],[f897,f1149]) ).

fof(f1149,plain,
    ( c3_1(a456)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1157,plain,
    ( spl0_83
    | ~ spl0_47
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1154,f1056,f870,f441,f621]) ).

fof(f1154,plain,
    ( ~ c2_1(a486)
    | c0_1(a486)
    | ~ spl0_133
    | ~ spl0_162 ),
    inference(resolution,[],[f1058,f871]) ).

fof(f1058,plain,
    ( c3_1(a486)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1153,plain,
    ( spl0_113
    | ~ spl0_166
    | ~ spl0_71
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1145,f892,f561,f1095,f771]) ).

fof(f561,plain,
    ( spl0_71
  <=> c2_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1145,plain,
    ( ~ c1_1(a442)
    | c3_1(a442)
    | ~ spl0_71
    | ~ spl0_138 ),
    inference(resolution,[],[f893,f563]) ).

fof(f563,plain,
    ( c2_1(a442)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f1150,plain,
    ( spl0_170
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1136,f892,f381,f376,f1147]) ).

fof(f381,plain,
    ( spl0_35
  <=> c2_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1136,plain,
    ( ~ c1_1(a456)
    | c3_1(a456)
    | ~ spl0_35
    | ~ spl0_138 ),
    inference(resolution,[],[f893,f383]) ).

fof(f383,plain,
    ( c2_1(a456)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f1135,plain,
    ( spl0_161
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1132,f884,f531,f526,f1041]) ).

fof(f1041,plain,
    ( spl0_161
  <=> c2_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1132,plain,
    ( ~ c1_1(a450)
    | c2_1(a450)
    | ~ spl0_65
    | ~ spl0_136 ),
    inference(resolution,[],[f885,f533]) ).

fof(f1127,plain,
    ( spl0_101
    | ~ spl0_161
    | ~ spl0_65
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1120,f870,f531,f1041,f711]) ).

fof(f1120,plain,
    ( ~ c2_1(a450)
    | c0_1(a450)
    | ~ spl0_65
    | ~ spl0_133 ),
    inference(resolution,[],[f871,f533]) ).

fof(f1115,plain,
    ( spl0_100
    | ~ spl0_164
    | ~ spl0_63
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1103,f875,f521,f1070,f706]) ).

fof(f706,plain,
    ( spl0_100
  <=> c1_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1103,plain,
    ( ~ c0_1(a451)
    | c1_1(a451)
    | ~ spl0_63
    | ~ spl0_134 ),
    inference(resolution,[],[f876,f523]) ).

fof(f1109,plain,
    ( spl0_167
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1100,f875,f411,f401,f1106]) ).

fof(f1100,plain,
    ( ~ c0_1(a437)
    | c1_1(a437)
    | ~ spl0_41
    | ~ spl0_134 ),
    inference(resolution,[],[f876,f413]) ).

fof(f1098,plain,
    ( spl0_166
    | spl0_113
    | ~ spl0_71
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1085,f865,f561,f771,f1095]) ).

fof(f865,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1085,plain,
    ( c3_1(a442)
    | c1_1(a442)
    | ~ spl0_71
    | ~ spl0_132 ),
    inference(resolution,[],[f866,f563]) ).

fof(f866,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f1092,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_66
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1083,f865,f536,f721,f716]) ).

fof(f721,plain,
    ( spl0_103
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1083,plain,
    ( c3_1(a449)
    | c1_1(a449)
    | ~ spl0_66
    | ~ spl0_132 ),
    inference(resolution,[],[f866,f538]) ).

fof(f1091,plain,
    ( spl0_95
    | spl0_165
    | ~ spl0_56
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1079,f865,f486,f1088,f681]) ).

fof(f1079,plain,
    ( c3_1(a463)
    | c1_1(a463)
    | ~ spl0_56
    | ~ spl0_132 ),
    inference(resolution,[],[f866,f488]) ).

fof(f1066,plain,
    ( spl0_109
    | spl0_110
    | ~ spl0_68
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1053,f860,f546,f756,f751]) ).

fof(f860,plain,
    ( spl0_131
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1053,plain,
    ( c3_1(a444)
    | c0_1(a444)
    | ~ spl0_68
    | ~ spl0_131 ),
    inference(resolution,[],[f861,f548]) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1059,plain,
    ( spl0_83
    | spl0_162
    | ~ spl0_47
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1048,f860,f441,f1056,f621]) ).

fof(f1048,plain,
    ( c3_1(a486)
    | c0_1(a486)
    | ~ spl0_47
    | ~ spl0_131 ),
    inference(resolution,[],[f861,f443]) ).

fof(f1044,plain,
    ( spl0_101
    | spl0_161
    | ~ spl0_65
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1034,f855,f531,f1041,f711]) ).

fof(f1034,plain,
    ( c2_1(a450)
    | c0_1(a450)
    | ~ spl0_65
    | ~ spl0_130 ),
    inference(resolution,[],[f856,f533]) ).

fof(f1023,plain,
    ( spl0_109
    | spl0_159
    | ~ spl0_68
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1011,f840,f546,f1020,f751]) ).

fof(f1011,plain,
    ( c1_1(a444)
    | c0_1(a444)
    | ~ spl0_68
    | ~ spl0_127 ),
    inference(resolution,[],[f841,f548]) ).

fof(f1018,plain,
    ( spl0_158
    | spl0_102
    | ~ spl0_66
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1010,f840,f536,f716,f1015]) ).

fof(f1010,plain,
    ( c1_1(a449)
    | c0_1(a449)
    | ~ spl0_66
    | ~ spl0_127 ),
    inference(resolution,[],[f841,f538]) ).

fof(f1001,plain,
    ( spl0_139
    | ~ spl0_2
    | spl0_135
    | spl0_148 ),
    inference(avatar_split_clause,[],[f201,f937,f880,f210,f896]) ).

fof(f210,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f1000,plain,
    ( spl0_140
    | ~ spl0_2
    | spl0_135
    | spl0_127 ),
    inference(avatar_split_clause,[],[f200,f840,f880,f210,f902]) ).

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

fof(f997,plain,
    ( ~ spl0_2
    | spl0_134
    | spl0_153
    | spl0_130 ),
    inference(avatar_split_clause,[],[f197,f855,f967,f875,f210]) ).

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

fof(f996,plain,
    ( ~ spl0_2
    | spl0_138
    | spl0_154
    | spl0_127 ),
    inference(avatar_split_clause,[],[f196,f840,f972,f892,f210]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f994,plain,
    ( ~ spl0_2
    | spl0_132
    | spl0_153
    | spl0_148 ),
    inference(avatar_split_clause,[],[f194,f937,f967,f865,f210]) ).

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

fof(f992,plain,
    ( ~ spl0_2
    | spl0_133
    | spl0_148
    | spl0_130 ),
    inference(avatar_split_clause,[],[f192,f855,f937,f870,f210]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f991,plain,
    ( spl0_140
    | ~ spl0_2
    | spl0_144
    | spl0_142 ),
    inference(avatar_split_clause,[],[f191,f911,f919,f210,f902]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f990,plain,
    ( spl0_139
    | ~ spl0_2
    | spl0_136
    | spl0_7 ),
    inference(avatar_split_clause,[],[f190,f235,f884,f210,f896]) ).

fof(f235,plain,
    ( spl0_7
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( hskp25
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f977,plain,
    ( ~ spl0_2
    | spl0_137
    | spl0_134
    | spl0_7 ),
    inference(avatar_split_clause,[],[f186,f235,f875,f888,f210]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( hskp25
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f976,plain,
    ( ~ spl0_2
    | spl0_145
    | spl0_143
    | spl0_9 ),
    inference(avatar_split_clause,[],[f185,f245,f916,f925,f210]) ).

fof(f245,plain,
    ( spl0_9
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( hskp23
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f970,plain,
    ( ~ spl0_2
    | spl0_136
    | spl0_153
    | spl0_26 ),
    inference(avatar_split_clause,[],[f182,f330,f967,f884,f210]) ).

fof(f330,plain,
    ( spl0_26
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( hskp6
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f969,plain,
    ( ~ spl0_2
    | spl0_133
    | spl0_153
    | spl0_24 ),
    inference(avatar_split_clause,[],[f181,f320,f967,f870,f210]) ).

fof(f320,plain,
    ( spl0_24
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( hskp8
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f965,plain,
    ( spl0_141
    | ~ spl0_2
    | spl0_131
    | spl0_16 ),
    inference(avatar_split_clause,[],[f180,f280,f860,f210,f907]) ).

fof(f280,plain,
    ( spl0_16
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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

fof(f964,plain,
    ( spl0_139
    | ~ spl0_2
    | spl0_129
    | spl0_19 ),
    inference(avatar_split_clause,[],[f179,f295,f850,f210,f896]) ).

fof(f295,plain,
    ( spl0_19
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( hskp13
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f962,plain,
    ( ~ spl0_2
    | spl0_152
    | spl0_143
    | spl0_8 ),
    inference(avatar_split_clause,[],[f177,f240,f916,f960,f210]) ).

fof(f240,plain,
    ( spl0_8
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( hskp24
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f958,plain,
    ( ~ spl0_2
    | spl0_135
    | spl0_147
    | spl0_29 ),
    inference(avatar_split_clause,[],[f176,f345,f933,f880,f210]) ).

fof(f345,plain,
    ( spl0_29
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( hskp3
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f956,plain,
    ( ~ spl0_2
    | spl0_135
    | spl0_131
    | spl0_15 ),
    inference(avatar_split_clause,[],[f174,f275,f860,f880,f210]) ).

fof(f275,plain,
    ( spl0_15
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( hskp17
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f954,plain,
    ( ~ spl0_2
    | spl0_133
    | spl0_131
    | spl0_18 ),
    inference(avatar_split_clause,[],[f172,f290,f860,f870,f210]) ).

fof(f290,plain,
    ( spl0_18
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f947,plain,
    ( ~ spl0_2
    | spl0_150
    | spl0_146
    | spl0_4 ),
    inference(avatar_split_clause,[],[f168,f220,f929,f945,f210]) ).

fof(f220,plain,
    ( spl0_4
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( hskp28
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f939,plain,
    ( ~ spl0_2
    | spl0_131
    | spl0_148
    | spl0_23 ),
    inference(avatar_split_clause,[],[f166,f315,f937,f860,f210]) ).

fof(f315,plain,
    ( spl0_23
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( hskp9
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f935,plain,
    ( ~ spl0_2
    | spl0_147
    | spl0_129
    | spl0_20 ),
    inference(avatar_split_clause,[],[f165,f300,f850,f933,f210]) ).

fof(f300,plain,
    ( spl0_20
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( hskp12
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f931,plain,
    ( ~ spl0_2
    | spl0_146
    | spl0_129
    | spl0_21 ),
    inference(avatar_split_clause,[],[f164,f305,f850,f929,f210]) ).

fof(f305,plain,
    ( spl0_21
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f904,plain,
    ( spl0_140
    | ~ spl0_2
    | spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f155,f360,f215,f210,f902]) ).

fof(f215,plain,
    ( spl0_3
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f360,plain,
    ( spl0_32
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f155,axiom,
    ! [X0] :
      ( hskp0
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f900,plain,
    ( spl0_139
    | ~ spl0_2
    | spl0_20
    | spl0_29 ),
    inference(avatar_split_clause,[],[f154,f345,f300,f210,f896]) ).

fof(f154,axiom,
    ! [X0] :
      ( hskp3
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f898,plain,
    ( spl0_139
    | ~ spl0_2
    | spl0_8
    | spl0_24 ),
    inference(avatar_split_clause,[],[f152,f320,f240,f210,f896]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp8
      | hskp24
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f894,plain,
    ( ~ spl0_2
    | spl0_138
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f151,f265,f220,f892,f210]) ).

fof(f265,plain,
    ( spl0_13
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f151,axiom,
    ! [X0] :
      ( hskp19
      | hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f890,plain,
    ( ~ spl0_2
    | spl0_137
    | spl0_18
    | spl0_20 ),
    inference(avatar_split_clause,[],[f150,f300,f290,f888,f210]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp12
      | hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f886,plain,
    ( ~ spl0_2
    | spl0_136
    | spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f149,f230,f206,f884,f210]) ).

fof(f206,plain,
    ( spl0_1
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f230,plain,
    ( spl0_6
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp26
      | hskp30
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f882,plain,
    ( ~ spl0_2
    | spl0_135
    | spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f148,f280,f215,f880,f210]) ).

fof(f148,axiom,
    ! [X0] :
      ( hskp16
      | hskp29
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f878,plain,
    ( ~ spl0_2
    | spl0_134
    | spl0_6
    | spl0_24 ),
    inference(avatar_split_clause,[],[f147,f320,f230,f875,f210]) ).

fof(f147,axiom,
    ! [X0] :
      ( hskp8
      | hskp26
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f873,plain,
    ( ~ spl0_2
    | spl0_133
    | spl0_24
    | spl0_32 ),
    inference(avatar_split_clause,[],[f145,f360,f320,f870,f210]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp0
      | hskp8
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f868,plain,
    ( ~ spl0_2
    | spl0_132
    | spl0_9
    | spl0_25 ),
    inference(avatar_split_clause,[],[f143,f325,f245,f865,f210]) ).

fof(f325,plain,
    ( spl0_25
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp7
      | hskp23
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f857,plain,
    ( ~ spl0_2
    | spl0_130
    | spl0_1
    | spl0_16 ),
    inference(avatar_split_clause,[],[f138,f280,f206,f855,f210]) ).

fof(f138,axiom,
    ! [X0] :
      ( hskp16
      | hskp30
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f852,plain,
    ( ~ spl0_2
    | spl0_129
    | spl0_18
    | spl0_30 ),
    inference(avatar_split_clause,[],[f136,f350,f290,f850,f210]) ).

fof(f350,plain,
    ( spl0_30
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f136,axiom,
    ! [X0] :
      ( hskp2
      | hskp14
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f842,plain,
    ( ~ spl0_2
    | spl0_127
    | spl0_4
    | spl0_32 ),
    inference(avatar_split_clause,[],[f132,f360,f220,f840,f210]) ).

fof(f132,axiom,
    ! [X0] :
      ( hskp0
      | hskp28
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f838,plain,
    ( ~ spl0_2
    | spl0_126
    | spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f131,f310,f215,f836,f210]) ).

fof(f310,plain,
    ( spl0_22
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f131,axiom,
    ! [X0] :
      ( hskp10
      | hskp29
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f834,plain,
    ( ~ spl0_125
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f130,f360,f831]) ).

fof(f130,axiom,
    ( ~ hskp0
    | ~ c2_1(a432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f829,plain,
    ( ~ spl0_124
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f129,f360,f826]) ).

fof(f129,axiom,
    ( ~ hskp0
    | ~ c0_1(a432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f824,plain,
    ( ~ spl0_123
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f128,f355,f821]) ).

fof(f355,plain,
    ( spl0_31
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f128,axiom,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f819,plain,
    ( ~ spl0_122
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f127,f355,f816]) ).

fof(f127,axiom,
    ( ~ hskp1
    | ~ c1_1(a433) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f814,plain,
    ( ~ spl0_121
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f126,f355,f811]) ).

fof(f126,axiom,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f809,plain,
    ( ~ spl0_120
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f125,f350,f806]) ).

fof(f125,axiom,
    ( ~ hskp2
    | ~ c3_1(a434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f804,plain,
    ( ~ spl0_119
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f124,f350,f801]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f799,plain,
    ( ~ spl0_118
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f123,f345,f796]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c3_1(a435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f794,plain,
    ( ~ spl0_117
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f122,f345,f791]) ).

fof(f122,axiom,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f774,plain,
    ( ~ spl0_113
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f118,f330,f771]) ).

fof(f118,axiom,
    ( ~ hskp6
    | ~ c3_1(a442) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f769,plain,
    ( ~ spl0_112
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f117,f325,f766]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f764,plain,
    ( ~ spl0_111
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f116,f325,f761]) ).

fof(f116,axiom,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f759,plain,
    ( ~ spl0_110
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f115,f320,f756]) ).

fof(f115,axiom,
    ( ~ hskp8
    | ~ c3_1(a444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f754,plain,
    ( ~ spl0_109
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f114,f320,f751]) ).

fof(f114,axiom,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f749,plain,
    ( ~ spl0_108
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f113,f315,f746]) ).

fof(f113,axiom,
    ( ~ hskp9
    | ~ c3_1(a445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f744,plain,
    ( ~ spl0_107
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f112,f315,f741]) ).

fof(f112,axiom,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f739,plain,
    ( ~ spl0_106
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f111,f315,f736]) ).

fof(f111,axiom,
    ( ~ hskp9
    | ~ c0_1(a445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f734,plain,
    ( ~ spl0_105
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f110,f310,f731]) ).

fof(f110,axiom,
    ( ~ hskp10
    | ~ c2_1(a448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f729,plain,
    ( ~ spl0_104
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f109,f310,f726]) ).

fof(f109,axiom,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f724,plain,
    ( ~ spl0_103
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f108,f305,f721]) ).

fof(f108,axiom,
    ( ~ hskp11
    | ~ c3_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f719,plain,
    ( ~ spl0_102
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f107,f305,f716]) ).

fof(f107,axiom,
    ( ~ hskp11
    | ~ c1_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f714,plain,
    ( ~ spl0_101
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f106,f300,f711]) ).

fof(f106,axiom,
    ( ~ hskp12
    | ~ c0_1(a450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f709,plain,
    ( ~ spl0_100
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f105,f295,f706]) ).

fof(f105,axiom,
    ( ~ hskp13
    | ~ c1_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f704,plain,
    ( ~ spl0_99
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f104,f290,f701]) ).

fof(f104,axiom,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f689,plain,
    ( ~ spl0_96
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f101,f280,f686]) ).

fof(f101,axiom,
    ( ~ hskp16
    | ~ c2_1(a457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f684,plain,
    ( ~ spl0_95
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f100,f275,f681]) ).

fof(f100,axiom,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f664,plain,
    ( ~ spl0_91
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f96,f265,f661]) ).

fof(f96,axiom,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f659,plain,
    ( ~ spl0_90
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f95,f265,f656]) ).

fof(f95,axiom,
    ( ~ hskp19
    | ~ c1_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f634,plain,
    ( ~ spl0_85
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f90,f245,f631]) ).

fof(f90,axiom,
    ( ~ hskp23
    | ~ c3_1(a484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f629,plain,
    ( ~ spl0_84
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f89,f245,f626]) ).

fof(f89,axiom,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f624,plain,
    ( ~ spl0_83
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f88,f240,f621]) ).

fof(f88,axiom,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f619,plain,
    ( ~ spl0_82
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f87,f235,f616]) ).

fof(f87,axiom,
    ( ~ hskp25
    | ~ c0_1(a489) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f614,plain,
    ( ~ spl0_81
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f86,f230,f611]) ).

fof(f86,axiom,
    ( ~ hskp26
    | ~ c3_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f594,plain,
    ( ~ spl0_32
    | spl0_77 ),
    inference(avatar_split_clause,[],[f82,f591,f360]) ).

fof(f82,axiom,
    ( c3_1(a432)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f589,plain,
    ( ~ spl0_30
    | spl0_76 ),
    inference(avatar_split_clause,[],[f81,f586,f350]) ).

fof(f81,axiom,
    ( c0_1(a434)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f584,plain,
    ( ~ spl0_29
    | spl0_75 ),
    inference(avatar_split_clause,[],[f80,f581,f345]) ).

fof(f80,axiom,
    ( c1_1(a435)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f564,plain,
    ( ~ spl0_26
    | spl0_71 ),
    inference(avatar_split_clause,[],[f76,f561,f330]) ).

fof(f76,axiom,
    ( c2_1(a442)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f559,plain,
    ( ~ spl0_26
    | spl0_70 ),
    inference(avatar_split_clause,[],[f75,f556,f330]) ).

fof(f75,axiom,
    ( c0_1(a442)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f554,plain,
    ( ~ spl0_25
    | spl0_69 ),
    inference(avatar_split_clause,[],[f74,f551,f325]) ).

fof(f74,axiom,
    ( c3_1(a443)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f549,plain,
    ( ~ spl0_24
    | spl0_68 ),
    inference(avatar_split_clause,[],[f73,f546,f320]) ).

fof(f73,axiom,
    ( c2_1(a444)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f544,plain,
    ( ~ spl0_22
    | spl0_67 ),
    inference(avatar_split_clause,[],[f72,f541,f310]) ).

fof(f72,axiom,
    ( c1_1(a448)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f539,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(avatar_split_clause,[],[f71,f536,f305]) ).

fof(f71,axiom,
    ( c2_1(a449)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f534,plain,
    ( ~ spl0_20
    | spl0_65 ),
    inference(avatar_split_clause,[],[f70,f531,f300]) ).

fof(f70,axiom,
    ( c3_1(a450)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f529,plain,
    ( ~ spl0_20
    | spl0_64 ),
    inference(avatar_split_clause,[],[f69,f526,f300]) ).

fof(f69,axiom,
    ( c1_1(a450)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f524,plain,
    ( ~ spl0_19
    | spl0_63 ),
    inference(avatar_split_clause,[],[f68,f521,f295]) ).

fof(f68,axiom,
    ( c3_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f519,plain,
    ( ~ spl0_19
    | spl0_62 ),
    inference(avatar_split_clause,[],[f67,f516,f295]) ).

fof(f67,axiom,
    ( c2_1(a451)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f514,plain,
    ( ~ spl0_18
    | spl0_61 ),
    inference(avatar_split_clause,[],[f66,f511,f290]) ).

fof(f66,axiom,
    ( c1_1(a452)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f509,plain,
    ( ~ spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f65,f506,f290]) ).

fof(f65,axiom,
    ( c0_1(a452)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f499,plain,
    ( ~ spl0_16
    | spl0_58 ),
    inference(avatar_split_clause,[],[f63,f496,f280]) ).

fof(f63,axiom,
    ( c3_1(a457)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f494,plain,
    ( ~ spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f62,f491,f280]) ).

fof(f62,axiom,
    ( c1_1(a457)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f489,plain,
    ( ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f61,f486,f275]) ).

fof(f61,axiom,
    ( c2_1(a463)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f484,plain,
    ( ~ spl0_15
    | spl0_55 ),
    inference(avatar_split_clause,[],[f60,f481,f275]) ).

fof(f60,axiom,
    ( c0_1(a463)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f479,plain,
    ( ~ spl0_13
    | spl0_54 ),
    inference(avatar_split_clause,[],[f59,f476,f265]) ).

fof(f59,axiom,
    ( c0_1(a467)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f449,plain,
    ( ~ spl0_9
    | spl0_48 ),
    inference(avatar_split_clause,[],[f53,f446,f245]) ).

fof(f53,axiom,
    ( c1_1(a484)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f444,plain,
    ( ~ spl0_8
    | spl0_47 ),
    inference(avatar_split_clause,[],[f52,f441,f240]) ).

fof(f52,axiom,
    ( c2_1(a486)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f439,plain,
    ( ~ spl0_8
    | spl0_46 ),
    inference(avatar_split_clause,[],[f51,f436,f240]) ).

fof(f51,axiom,
    ( c1_1(a486)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f434,plain,
    ( ~ spl0_7
    | spl0_45 ),
    inference(avatar_split_clause,[],[f50,f431,f235]) ).

fof(f50,axiom,
    ( c3_1(a489)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f429,plain,
    ( ~ spl0_7
    | spl0_44 ),
    inference(avatar_split_clause,[],[f49,f426,f235]) ).

fof(f49,axiom,
    ( c2_1(a489)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f424,plain,
    ( ~ spl0_6
    | spl0_43 ),
    inference(avatar_split_clause,[],[f48,f421,f230]) ).

fof(f48,axiom,
    ( c2_1(a492)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f419,plain,
    ( ~ spl0_6
    | spl0_42 ),
    inference(avatar_split_clause,[],[f47,f416,f230]) ).

fof(f47,axiom,
    ( c1_1(a492)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f414,plain,
    ( ~ spl0_4
    | spl0_41 ),
    inference(avatar_split_clause,[],[f46,f411,f220]) ).

fof(f46,axiom,
    ( c3_1(a437)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f404,plain,
    ( ~ spl0_4
    | spl0_39 ),
    inference(avatar_split_clause,[],[f44,f401,f220]) ).

fof(f44,axiom,
    ( c0_1(a437)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f399,plain,
    ( ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f43,f396,f215]) ).

fof(f43,axiom,
    ( c3_1(a447)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f394,plain,
    ( ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f42,f391,f215]) ).

fof(f42,axiom,
    ( c2_1(a447)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f389,plain,
    ( ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f41,f386,f215]) ).

fof(f41,axiom,
    ( c1_1(a447)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f384,plain,
    ( ~ spl0_1
    | spl0_35 ),
    inference(avatar_split_clause,[],[f40,f381,f206]) ).

fof(f40,axiom,
    ( c2_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f379,plain,
    ( ~ spl0_1
    | spl0_34 ),
    inference(avatar_split_clause,[],[f39,f376,f206]) ).

fof(f39,axiom,
    ( c1_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f374,plain,
    ( ~ spl0_1
    | spl0_33 ),
    inference(avatar_split_clause,[],[f38,f371,f206]) ).

fof(f38,axiom,
    ( c0_1(a456)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f369,plain,
    ( spl0_22
    | spl0_24
    | spl0_31 ),
    inference(avatar_split_clause,[],[f37,f355,f320,f310]) ).

fof(f37,axiom,
    ( hskp1
    | hskp8
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f368,plain,
    ( spl0_8
    | spl0_20
    | spl0_29 ),
    inference(avatar_split_clause,[],[f36,f345,f300,f240]) ).

fof(f36,axiom,
    ( hskp3
    | hskp12
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f366,plain,
    ( spl0_15
    | spl0_22
    | spl0_9 ),
    inference(avatar_split_clause,[],[f34,f245,f310,f275]) ).

fof(f34,axiom,
    ( hskp23
    | hskp10
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f364,plain,
    ( spl0_1
    | spl0_18
    | spl0_8 ),
    inference(avatar_split_clause,[],[f32,f240,f290,f206]) ).

fof(f32,axiom,
    ( hskp24
    | hskp14
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f358,plain,
    ( ~ spl0_31
    | spl0_2 ),
    inference(avatar_split_clause,[],[f30,f210,f355]) ).

fof(f30,axiom,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f323,plain,
    ( ~ spl0_24
    | spl0_2 ),
    inference(avatar_split_clause,[],[f23,f210,f320]) ).

fof(f23,axiom,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f313,plain,
    ( ~ spl0_22
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f210,f310]) ).

fof(f21,axiom,
    ( ndr1_0
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN509-1 : TPTP v8.2.0. Released v2.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 15:35:37 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.91  % (18006)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.74/0.91  % (18008)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.74/0.91  % (18003)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.74/0.91  % (18007)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.74/0.91  % (18005)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.74/0.91  % (18004)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.74/0.91  % (18009)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.74/0.91  % (18010)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.74/0.93  % (18004)First to succeed.
% 0.74/0.93  % (18006)Instruction limit reached!
% 0.74/0.93  % (18006)------------------------------
% 0.74/0.93  % (18006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.93  % (18006)Termination reason: Unknown
% 0.74/0.93  % (18006)Termination phase: Saturation
% 0.74/0.93  
% 0.74/0.93  % (18006)Memory used [KB]: 2133
% 0.74/0.93  % (18006)Time elapsed: 0.024 s
% 0.74/0.93  % (18006)Instructions burned: 33 (million)
% 0.74/0.93  % (18006)------------------------------
% 0.74/0.93  % (18006)------------------------------
% 0.74/0.93  % (18003)Instruction limit reached!
% 0.74/0.93  % (18003)------------------------------
% 0.74/0.93  % (18003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.93  % (18003)Termination reason: Unknown
% 0.74/0.93  % (18003)Termination phase: Saturation
% 0.74/0.93  
% 0.74/0.93  % (18003)Memory used [KB]: 1928
% 0.74/0.93  % (18003)Time elapsed: 0.024 s
% 0.74/0.93  % (18003)Instructions burned: 34 (million)
% 0.74/0.93  % (18003)------------------------------
% 0.74/0.93  % (18003)------------------------------
% 0.74/0.93  % (18007)Instruction limit reached!
% 0.74/0.93  % (18007)------------------------------
% 0.74/0.93  % (18007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.93  % (18007)Termination reason: Unknown
% 0.74/0.93  % (18007)Termination phase: Saturation
% 0.74/0.93  
% 0.74/0.93  % (18007)Memory used [KB]: 2024
% 0.74/0.93  % (18007)Time elapsed: 0.025 s
% 0.74/0.93  % (18007)Instructions burned: 34 (million)
% 0.74/0.93  % (18007)------------------------------
% 0.74/0.93  % (18007)------------------------------
% 0.74/0.93  % (18011)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.74/0.93  % (18012)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.74/0.93  % (18013)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.74/0.93  % (18004)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18002"
% 0.84/0.94  % (18004)Refutation found. Thanks to Tanya!
% 0.84/0.94  % SZS status Unsatisfiable for theBenchmark
% 0.84/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.84/0.94  % (18004)------------------------------
% 0.84/0.94  % (18004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/0.94  % (18004)Termination reason: Refutation
% 0.84/0.94  
% 0.84/0.94  % (18004)Memory used [KB]: 1734
% 0.84/0.94  % (18004)Time elapsed: 0.029 s
% 0.84/0.94  % (18004)Instructions burned: 42 (million)
% 0.84/0.94  % (18002)Success in time 0.56 s
% 0.84/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------