TSTP Solution File: SYN472-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN472-1 : 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 : 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 : Wed Aug 31 19:27:03 EDT 2022

% Result   : Unsatisfiable 1.93s 0.67s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  291
% Syntax   : Number of formulae    :  687 (   1 unt;   0 def)
%            Number of atoms       : 2219 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2628 (1096   ~;1374   |;   0   &)
%                                         ( 158 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  191 ( 190 usr; 187 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  149 ( 149   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2898,plain,
    $false,
    inference(avatar_sat_refutation,[],[f221,f233,f259,f268,f296,f306,f324,f334,f339,f348,f359,f364,f369,f373,f382,f392,f410,f415,f420,f425,f430,f435,f440,f445,f450,f455,f462,f471,f473,f488,f493,f504,f505,f509,f514,f520,f530,f537,f543,f548,f552,f557,f572,f573,f578,f583,f588,f592,f599,f603,f608,f613,f621,f626,f631,f632,f637,f643,f648,f653,f658,f664,f668,f672,f673,f675,f680,f685,f691,f692,f693,f697,f698,f712,f713,f719,f725,f726,f731,f736,f742,f747,f753,f759,f761,f766,f767,f768,f778,f805,f806,f807,f812,f813,f818,f824,f830,f840,f846,f851,f852,f854,f859,f865,f870,f875,f879,f885,f890,f891,f892,f897,f903,f908,f914,f919,f921,f922,f929,f934,f941,f942,f943,f944,f945,f946,f951,f952,f957,f962,f967,f972,f982,f988,f996,f1006,f1019,f1029,f1063,f1082,f1099,f1100,f1110,f1111,f1112,f1131,f1132,f1140,f1203,f1221,f1245,f1271,f1283,f1285,f1305,f1334,f1335,f1340,f1356,f1362,f1380,f1386,f1403,f1420,f1438,f1528,f1558,f1560,f1629,f1636,f1661,f1671,f1672,f1681,f1683,f1698,f1702,f1717,f1722,f1753,f1782,f1831,f1836,f1838,f1839,f1840,f1847,f1909,f1977,f1996,f1997,f2086,f2087,f2151,f2153,f2171,f2235,f2263,f2270,f2271,f2275,f2281,f2282,f2287,f2351,f2363,f2364,f2368,f2421,f2453,f2472,f2473,f2629,f2631,f2671,f2677,f2681,f2771,f2772,f2774,f2778,f2781,f2895]) ).

fof(f2895,plain,
    ( spl0_128
    | spl0_96
    | ~ spl0_58
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2892,f1151,f453,f640,f821]) ).

fof(f821,plain,
    ( spl0_128
  <=> c1_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f640,plain,
    ( spl0_96
  <=> c0_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f453,plain,
    ( spl0_58
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1151,plain,
    ( spl0_167
  <=> c2_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2892,plain,
    ( c0_1(a725)
    | c1_1(a725)
    | ~ spl0_58
    | ~ spl0_167 ),
    inference(resolution,[],[f454,f1152]) ).

fof(f1152,plain,
    ( c2_1(a725)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f454,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f2781,plain,
    ( spl0_158
    | spl0_137
    | ~ spl0_69
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2461,f623,f507,f872,f1003]) ).

fof(f1003,plain,
    ( spl0_158
  <=> c1_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f872,plain,
    ( spl0_137
  <=> c2_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f507,plain,
    ( spl0_69
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f623,plain,
    ( spl0_93
  <=> c3_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2461,plain,
    ( c2_1(a752)
    | c1_1(a752)
    | ~ spl0_69
    | spl0_93 ),
    inference(resolution,[],[f508,f625]) ).

fof(f625,plain,
    ( ~ c3_1(a752)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f508,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f2778,plain,
    ( spl0_165
    | spl0_94
    | ~ spl0_20
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2479,f862,f278,f628,f1118]) ).

fof(f1118,plain,
    ( spl0_165
  <=> c3_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f628,plain,
    ( spl0_94
  <=> c2_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f278,plain,
    ( spl0_20
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f862,plain,
    ( spl0_135
  <=> c0_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2479,plain,
    ( c2_1(a761)
    | c3_1(a761)
    | ~ spl0_20
    | spl0_135 ),
    inference(resolution,[],[f279,f864]) ).

fof(f864,plain,
    ( ~ c0_1(a761)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f279,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f2774,plain,
    ( ~ spl0_169
    | spl0_113
    | ~ spl0_106
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2761,f848,f695,f733,f1242]) ).

fof(f1242,plain,
    ( spl0_169
  <=> c2_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f733,plain,
    ( spl0_113
  <=> c1_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f695,plain,
    ( spl0_106
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f848,plain,
    ( spl0_133
  <=> c0_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2761,plain,
    ( c1_1(a751)
    | ~ c2_1(a751)
    | ~ spl0_106
    | ~ spl0_133 ),
    inference(resolution,[],[f696,f850]) ).

fof(f850,plain,
    ( c0_1(a751)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f696,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f2772,plain,
    ( ~ spl0_26
    | spl0_180
    | ~ spl0_106
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2764,f954,f695,f1555,f303]) ).

fof(f303,plain,
    ( spl0_26
  <=> c2_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1555,plain,
    ( spl0_180
  <=> c1_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f954,plain,
    ( spl0_150
  <=> c0_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2764,plain,
    ( c1_1(a697)
    | ~ c2_1(a697)
    | ~ spl0_106
    | ~ spl0_150 ),
    inference(resolution,[],[f696,f956]) ).

fof(f956,plain,
    ( c0_1(a697)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f2771,plain,
    ( spl0_108
    | ~ spl0_41
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2766,f695,f371,f705]) ).

fof(f705,plain,
    ( spl0_108
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f371,plain,
    ( spl0_41
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2766,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_106 ),
    inference(duplicate_literal_removal,[],[f2756]) ).

fof(f2756,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_41
    | ~ spl0_106 ),
    inference(resolution,[],[f696,f372]) ).

fof(f372,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f2681,plain,
    ( spl0_170
    | spl0_143
    | ~ spl0_58
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2538,f827,f453,f905,f1257]) ).

fof(f1257,plain,
    ( spl0_170
  <=> c0_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f905,plain,
    ( spl0_143
  <=> c1_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f827,plain,
    ( spl0_129
  <=> c2_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2538,plain,
    ( c1_1(a738)
    | c0_1(a738)
    | ~ spl0_58
    | ~ spl0_129 ),
    inference(resolution,[],[f454,f829]) ).

fof(f829,plain,
    ( c2_1(a738)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f2677,plain,
    ( ~ spl0_79
    | ~ spl0_112
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f2580,f590,f336,f728,f554]) ).

fof(f554,plain,
    ( spl0_79
  <=> c1_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f728,plain,
    ( spl0_112
  <=> c2_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f336,plain,
    ( spl0_33
  <=> c0_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f590,plain,
    ( spl0_86
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2580,plain,
    ( ~ c2_1(a695)
    | ~ c1_1(a695)
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(resolution,[],[f591,f338]) ).

fof(f338,plain,
    ( c0_1(a695)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f591,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f2671,plain,
    ( spl0_147
    | spl0_180
    | ~ spl0_26
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2662,f705,f303,f1555,f931]) ).

fof(f931,plain,
    ( spl0_147
  <=> c3_1(a697) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2662,plain,
    ( c1_1(a697)
    | c3_1(a697)
    | ~ spl0_26
    | ~ spl0_108 ),
    inference(resolution,[],[f706,f305]) ).

fof(f305,plain,
    ( c2_1(a697)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f706,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f2631,plain,
    ( ~ spl0_182
    | ~ spl0_34
    | ~ spl0_86
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2581,f775,f590,f341,f1695]) ).

fof(f1695,plain,
    ( spl0_182
  <=> c2_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f341,plain,
    ( spl0_34
  <=> c1_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f775,plain,
    ( spl0_120
  <=> c0_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2581,plain,
    ( ~ c1_1(a691)
    | ~ c2_1(a691)
    | ~ spl0_86
    | ~ spl0_120 ),
    inference(resolution,[],[f591,f777]) ).

fof(f777,plain,
    ( c0_1(a691)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f2629,plain,
    ( spl0_182
    | ~ spl0_70
    | ~ spl0_101
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2616,f775,f666,f511,f1695]) ).

fof(f511,plain,
    ( spl0_70
  <=> c3_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f666,plain,
    ( spl0_101
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2616,plain,
    ( ~ c3_1(a691)
    | c2_1(a691)
    | ~ spl0_101
    | ~ spl0_120 ),
    inference(resolution,[],[f667,f777]) ).

fof(f667,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f2473,plain,
    ( spl0_128
    | spl0_167
    | ~ spl0_69
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2468,f882,f507,f1151,f821]) ).

fof(f882,plain,
    ( spl0_139
  <=> c3_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2468,plain,
    ( c2_1(a725)
    | c1_1(a725)
    | ~ spl0_69
    | spl0_139 ),
    inference(resolution,[],[f508,f884]) ).

fof(f884,plain,
    ( ~ c3_1(a725)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f2472,plain,
    ( spl0_56
    | spl0_163
    | spl0_15
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2469,f507,f256,f1089,f442]) ).

fof(f442,plain,
    ( spl0_56
  <=> c2_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1089,plain,
    ( spl0_163
  <=> c1_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f256,plain,
    ( spl0_15
  <=> c3_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2469,plain,
    ( c1_1(a698)
    | c2_1(a698)
    | spl0_15
    | ~ spl0_69 ),
    inference(resolution,[],[f508,f258]) ).

fof(f258,plain,
    ( ~ c3_1(a698)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f2453,plain,
    ( spl0_100
    | spl0_126
    | ~ spl0_60
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2441,f1060,f460,f809,f661]) ).

fof(f661,plain,
    ( spl0_100
  <=> c1_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f809,plain,
    ( spl0_126
  <=> c2_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f460,plain,
    ( spl0_60
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1060,plain,
    ( spl0_161
  <=> c3_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2441,plain,
    ( c2_1(a763)
    | c1_1(a763)
    | ~ spl0_60
    | ~ spl0_161 ),
    inference(resolution,[],[f461,f1062]) ).

fof(f1062,plain,
    ( c3_1(a763)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1060]) ).

fof(f461,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f2421,plain,
    ( ~ spl0_168
    | spl0_32
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f2414,f457,f427,f331,f1218]) ).

fof(f1218,plain,
    ( spl0_168
  <=> c2_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f331,plain,
    ( spl0_32
  <=> c1_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f427,plain,
    ( spl0_53
  <=> c3_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f457,plain,
    ( spl0_59
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2414,plain,
    ( c1_1(a722)
    | ~ c2_1(a722)
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(resolution,[],[f458,f429]) ).

fof(f429,plain,
    ( c3_1(a722)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f458,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f2368,plain,
    ( spl0_93
    | spl0_158
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2366,f265,f227,f1003,f623]) ).

fof(f227,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f265,plain,
    ( spl0_17
  <=> c0_1(a752) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2366,plain,
    ( c1_1(a752)
    | c3_1(a752)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(resolution,[],[f267,f228]) ).

fof(f228,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f267,plain,
    ( c0_1(a752)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f2364,plain,
    ( ~ spl0_176
    | ~ spl0_99
    | ~ spl0_23
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1853,f412,f289,f655,f1353]) ).

fof(f1353,plain,
    ( spl0_176
  <=> c1_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f655,plain,
    ( spl0_99
  <=> c2_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f289,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f412,plain,
    ( spl0_50
  <=> c3_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1853,plain,
    ( ~ c2_1(a710)
    | ~ c1_1(a710)
    | ~ spl0_23
    | ~ spl0_50 ),
    inference(resolution,[],[f414,f290]) ).

fof(f290,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f414,plain,
    ( c3_1(a710)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f2363,plain,
    ( ~ spl0_109
    | ~ spl0_156
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1928,f490,f289,f985,f709]) ).

fof(f709,plain,
    ( spl0_109
  <=> c1_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f985,plain,
    ( spl0_156
  <=> c2_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f490,plain,
    ( spl0_66
  <=> c3_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1928,plain,
    ( ~ c2_1(a760)
    | ~ c1_1(a760)
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(resolution,[],[f492,f290]) ).

fof(f492,plain,
    ( c3_1(a760)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f2351,plain,
    ( ~ spl0_183
    | ~ spl0_84
    | ~ spl0_71
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2074,f670,f517,f580,f1742]) ).

fof(f1742,plain,
    ( spl0_183
  <=> c3_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f580,plain,
    ( spl0_84
  <=> c1_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f517,plain,
    ( spl0_71
  <=> c0_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f670,plain,
    ( spl0_102
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2074,plain,
    ( ~ c1_1(a696)
    | ~ c3_1(a696)
    | ~ spl0_71
    | ~ spl0_102 ),
    inference(resolution,[],[f671,f519]) ).

fof(f519,plain,
    ( c0_1(a696)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f671,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f2287,plain,
    ( spl0_83
    | spl0_76
    | ~ spl0_40
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2124,f705,f366,f540,f575]) ).

fof(f575,plain,
    ( spl0_83
  <=> c3_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f540,plain,
    ( spl0_76
  <=> c1_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f366,plain,
    ( spl0_40
  <=> c2_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2124,plain,
    ( c1_1(a693)
    | c3_1(a693)
    | ~ spl0_40
    | ~ spl0_108 ),
    inference(resolution,[],[f706,f368]) ).

fof(f368,plain,
    ( c2_1(a693)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f2282,plain,
    ( spl0_173
    | spl0_97
    | ~ spl0_118
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2146,f964,f764,f645,f1331]) ).

fof(f1331,plain,
    ( spl0_173
  <=> c0_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f645,plain,
    ( spl0_97
  <=> c3_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f764,plain,
    ( spl0_118
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f964,plain,
    ( spl0_152
  <=> c1_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2146,plain,
    ( c3_1(a708)
    | c0_1(a708)
    | ~ spl0_118
    | ~ spl0_152 ),
    inference(resolution,[],[f765,f966]) ).

fof(f966,plain,
    ( c1_1(a708)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f765,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f2281,plain,
    ( spl0_128
    | spl0_139
    | ~ spl0_108
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2126,f1151,f705,f882,f821]) ).

fof(f2126,plain,
    ( c3_1(a725)
    | c1_1(a725)
    | ~ spl0_108
    | ~ spl0_167 ),
    inference(resolution,[],[f706,f1152]) ).

fof(f2275,plain,
    ( ~ spl0_26
    | spl0_147
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2256,f954,f877,f931,f303]) ).

fof(f877,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2256,plain,
    ( c3_1(a697)
    | ~ c2_1(a697)
    | ~ spl0_138
    | ~ spl0_150 ),
    inference(resolution,[],[f878,f956]) ).

fof(f878,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f2271,plain,
    ( ~ spl0_39
    | spl0_97
    | ~ spl0_138
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f2253,f1331,f877,f645,f361]) ).

fof(f361,plain,
    ( spl0_39
  <=> c2_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2253,plain,
    ( c3_1(a708)
    | ~ c2_1(a708)
    | ~ spl0_138
    | ~ spl0_173 ),
    inference(resolution,[],[f878,f1333]) ).

fof(f1333,plain,
    ( c0_1(a708)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1331]) ).

fof(f2270,plain,
    ( ~ spl0_157
    | spl0_89
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2249,f877,f389,f605,f992]) ).

fof(f992,plain,
    ( spl0_157
  <=> c2_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f605,plain,
    ( spl0_89
  <=> c3_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f389,plain,
    ( spl0_45
  <=> c0_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2249,plain,
    ( c3_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(resolution,[],[f878,f391]) ).

fof(f391,plain,
    ( c0_1(a730)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2263,plain,
    ( ~ spl0_112
    | spl0_166
    | ~ spl0_33
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2239,f877,f336,f1137,f728]) ).

fof(f1137,plain,
    ( spl0_166
  <=> c3_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2239,plain,
    ( c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_33
    | ~ spl0_138 ),
    inference(resolution,[],[f878,f338]) ).

fof(f2235,plain,
    ( ~ spl0_162
    | spl0_95
    | ~ spl0_77
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2221,f770,f545,f634,f1084]) ).

fof(f1084,plain,
    ( spl0_162
  <=> c1_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f634,plain,
    ( spl0_95
  <=> c0_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f545,plain,
    ( spl0_77
  <=> c2_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f770,plain,
    ( spl0_119
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2221,plain,
    ( c0_1(a754)
    | ~ c1_1(a754)
    | ~ spl0_77
    | ~ spl0_119 ),
    inference(resolution,[],[f771,f547]) ).

fof(f547,plain,
    ( c2_1(a754)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f771,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f2171,plain,
    ( ~ spl0_182
    | ~ spl0_34
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2168,f511,f289,f341,f1695]) ).

fof(f2168,plain,
    ( ~ c1_1(a691)
    | ~ c2_1(a691)
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(resolution,[],[f513,f290]) ).

fof(f513,plain,
    ( c3_1(a691)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f2153,plain,
    ( spl0_140
    | spl0_15
    | ~ spl0_118
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2150,f1089,f764,f256,f887]) ).

fof(f887,plain,
    ( spl0_140
  <=> c0_1(a698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2150,plain,
    ( c3_1(a698)
    | c0_1(a698)
    | ~ spl0_118
    | ~ spl0_163 ),
    inference(resolution,[],[f765,f1091]) ).

fof(f1091,plain,
    ( c1_1(a698)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f2151,plain,
    ( spl0_85
    | spl0_153
    | ~ spl0_62
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2143,f764,f468,f969,f585]) ).

fof(f585,plain,
    ( spl0_85
  <=> c0_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f969,plain,
    ( spl0_153
  <=> c3_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f468,plain,
    ( spl0_62
  <=> c1_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2143,plain,
    ( c3_1(a726)
    | c0_1(a726)
    | ~ spl0_62
    | ~ spl0_118 ),
    inference(resolution,[],[f765,f470]) ).

fof(f470,plain,
    ( c1_1(a726)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f2087,plain,
    ( spl0_127
    | ~ spl0_117
    | ~ spl0_4
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2083,f1337,f212,f756,f815]) ).

fof(f815,plain,
    ( spl0_127
  <=> c0_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f756,plain,
    ( spl0_117
  <=> c2_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f212,plain,
    ( spl0_4
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1337,plain,
    ( spl0_174
  <=> c3_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2083,plain,
    ( ~ c2_1(a692)
    | c0_1(a692)
    | ~ spl0_4
    | ~ spl0_174 ),
    inference(resolution,[],[f1339,f213]) ).

fof(f213,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f1339,plain,
    ( c3_1(a692)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1337]) ).

fof(f2086,plain,
    ( spl0_51
    | ~ spl0_117
    | ~ spl0_59
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2084,f1337,f457,f756,f417]) ).

fof(f417,plain,
    ( spl0_51
  <=> c1_1(a692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2084,plain,
    ( ~ c2_1(a692)
    | c1_1(a692)
    | ~ spl0_59
    | ~ spl0_174 ),
    inference(resolution,[],[f1339,f458]) ).

fof(f1997,plain,
    ( ~ spl0_134
    | spl0_114
    | ~ spl0_101
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1991,f867,f666,f739,f856]) ).

fof(f856,plain,
    ( spl0_134
  <=> c3_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f739,plain,
    ( spl0_114
  <=> c2_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f867,plain,
    ( spl0_136
  <=> c0_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1991,plain,
    ( c2_1(a702)
    | ~ c3_1(a702)
    | ~ spl0_101
    | ~ spl0_136 ),
    inference(resolution,[],[f667,f869]) ).

fof(f869,plain,
    ( c0_1(a702)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f1996,plain,
    ( ~ spl0_161
    | spl0_126
    | ~ spl0_101
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1985,f750,f666,f809,f1060]) ).

fof(f750,plain,
    ( spl0_116
  <=> c0_1(a763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1985,plain,
    ( c2_1(a763)
    | ~ c3_1(a763)
    | ~ spl0_101
    | ~ spl0_116 ),
    inference(resolution,[],[f667,f752]) ).

fof(f752,plain,
    ( c0_1(a763)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f1977,plain,
    ( spl0_145
    | spl0_65
    | ~ spl0_69
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1972,f802,f507,f485,f916]) ).

fof(f916,plain,
    ( spl0_145
  <=> c2_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f485,plain,
    ( spl0_65
  <=> c1_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f802,plain,
    ( spl0_125
  <=> c3_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1972,plain,
    ( c1_1(a744)
    | c2_1(a744)
    | ~ spl0_69
    | spl0_125 ),
    inference(resolution,[],[f508,f804]) ).

fof(f804,plain,
    ( ~ c3_1(a744)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f1909,plain,
    ( spl0_151
    | ~ spl0_84
    | ~ spl0_11
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1907,f517,f240,f580,f959]) ).

fof(f959,plain,
    ( spl0_151
  <=> c2_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f240,plain,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1907,plain,
    ( ~ c1_1(a696)
    | c2_1(a696)
    | ~ spl0_11
    | ~ spl0_71 ),
    inference(resolution,[],[f241,f519]) ).

fof(f241,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f1847,plain,
    ( spl0_113
    | spl0_115
    | ~ spl0_8
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1449,f848,f227,f744,f733]) ).

fof(f744,plain,
    ( spl0_115
  <=> c3_1(a751) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1449,plain,
    ( c3_1(a751)
    | c1_1(a751)
    | ~ spl0_8
    | ~ spl0_133 ),
    inference(resolution,[],[f228,f850]) ).

fof(f1840,plain,
    ( spl0_157
    | spl0_89
    | ~ spl0_24
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1821,f619,f293,f605,f992]) ).

fof(f293,plain,
    ( spl0_24
  <=> c1_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f619,plain,
    ( spl0_92
  <=> ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1821,plain,
    ( c3_1(a730)
    | c2_1(a730)
    | ~ spl0_24
    | ~ spl0_92 ),
    inference(resolution,[],[f620,f295]) ).

fof(f295,plain,
    ( c1_1(a730)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f620,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f1839,plain,
    ( spl0_180
    | spl0_147
    | ~ spl0_8
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1454,f954,f227,f931,f1555]) ).

fof(f1454,plain,
    ( c3_1(a697)
    | c1_1(a697)
    | ~ spl0_8
    | ~ spl0_150 ),
    inference(resolution,[],[f228,f956]) ).

fof(f1838,plain,
    ( spl0_69
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1767,f278,f227,f507]) ).

fof(f1767,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1755]) ).

fof(f1755,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(resolution,[],[f279,f228]) ).

fof(f1836,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_87
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1816,f619,f596,f722,f716]) ).

fof(f716,plain,
    ( spl0_110
  <=> c2_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f722,plain,
    ( spl0_111
  <=> c3_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f596,plain,
    ( spl0_87
  <=> c1_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1816,plain,
    ( c3_1(a764)
    | c2_1(a764)
    | ~ spl0_87
    | ~ spl0_92 ),
    inference(resolution,[],[f620,f598]) ).

fof(f598,plain,
    ( c1_1(a764)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1831,plain,
    ( spl0_151
    | spl0_183
    | ~ spl0_84
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1827,f619,f580,f1742,f959]) ).

fof(f1827,plain,
    ( c3_1(a696)
    | c2_1(a696)
    | ~ spl0_84
    | ~ spl0_92 ),
    inference(resolution,[],[f620,f582]) ).

fof(f582,plain,
    ( c1_1(a696)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f1782,plain,
    ( ~ spl0_149
    | ~ spl0_52
    | ~ spl0_23
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1780,f447,f289,f422,f948]) ).

fof(f948,plain,
    ( spl0_149
  <=> c2_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f422,plain,
    ( spl0_52
  <=> c1_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f447,plain,
    ( spl0_57
  <=> c3_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1780,plain,
    ( ~ c1_1(a733)
    | ~ c2_1(a733)
    | ~ spl0_23
    | ~ spl0_57 ),
    inference(resolution,[],[f290,f449]) ).

fof(f449,plain,
    ( c3_1(a733)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1753,plain,
    ( ~ spl0_129
    | ~ spl0_144
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1749,f1257,f550,f911,f827]) ).

fof(f911,plain,
    ( spl0_144
  <=> c3_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f550,plain,
    ( spl0_78
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1749,plain,
    ( ~ c3_1(a738)
    | ~ c2_1(a738)
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(resolution,[],[f1259,f551]) ).

fof(f551,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f1259,plain,
    ( c0_1(a738)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1722,plain,
    ( spl0_179
    | spl0_114
    | ~ spl0_74
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1721,f867,f532,f739,f1435]) ).

fof(f1435,plain,
    ( spl0_179
  <=> c1_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f532,plain,
    ( spl0_74
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1721,plain,
    ( c2_1(a702)
    | c1_1(a702)
    | ~ spl0_74
    | ~ spl0_136 ),
    inference(resolution,[],[f869,f533]) ).

fof(f533,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f1717,plain,
    ( ~ spl0_182
    | ~ spl0_70
    | ~ spl0_78
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1714,f775,f550,f511,f1695]) ).

fof(f1714,plain,
    ( ~ c3_1(a691)
    | ~ c2_1(a691)
    | ~ spl0_78
    | ~ spl0_120 ),
    inference(resolution,[],[f777,f551]) ).

fof(f1702,plain,
    ( ~ spl0_141
    | ~ spl0_43
    | ~ spl0_73
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1699,f550,f527,f379,f894]) ).

fof(f894,plain,
    ( spl0_141
  <=> c3_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f379,plain,
    ( spl0_43
  <=> c2_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f527,plain,
    ( spl0_73
  <=> c0_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1699,plain,
    ( ~ c2_1(a713)
    | ~ c3_1(a713)
    | ~ spl0_73
    | ~ spl0_78 ),
    inference(resolution,[],[f529,f551]) ).

fof(f529,plain,
    ( c0_1(a713)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1698,plain,
    ( ~ spl0_34
    | spl0_182
    | ~ spl0_38
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1693,f511,f357,f1695,f341]) ).

fof(f357,plain,
    ( spl0_38
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1693,plain,
    ( c2_1(a691)
    | ~ c1_1(a691)
    | ~ spl0_38
    | ~ spl0_70 ),
    inference(resolution,[],[f513,f358]) ).

fof(f358,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1683,plain,
    ( spl0_104
    | spl0_176
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1502,f433,f412,f1353,f682]) ).

fof(f682,plain,
    ( spl0_104
  <=> c0_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f433,plain,
    ( spl0_54
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1502,plain,
    ( c1_1(a710)
    | c0_1(a710)
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(resolution,[],[f434,f414]) ).

fof(f434,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1681,plain,
    ( spl0_168
    | spl0_32
    | ~ spl0_68
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1680,f532,f501,f331,f1218]) ).

fof(f501,plain,
    ( spl0_68
  <=> c0_1(a722) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1680,plain,
    ( c1_1(a722)
    | c2_1(a722)
    | ~ spl0_68
    | ~ spl0_74 ),
    inference(resolution,[],[f503,f533]) ).

fof(f503,plain,
    ( c0_1(a722)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1672,plain,
    ( spl0_153
    | spl0_164
    | ~ spl0_20
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1013,f585,f278,f1107,f969]) ).

fof(f1107,plain,
    ( spl0_164
  <=> c2_1(a726) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1013,plain,
    ( c2_1(a726)
    | c3_1(a726)
    | ~ spl0_20
    | spl0_85 ),
    inference(resolution,[],[f279,f587]) ).

fof(f587,plain,
    ( ~ c0_1(a726)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1671,plain,
    ( spl0_56
    | spl0_15
    | ~ spl0_20
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1192,f887,f278,f256,f442]) ).

fof(f1192,plain,
    ( c3_1(a698)
    | c2_1(a698)
    | ~ spl0_20
    | spl0_140 ),
    inference(resolution,[],[f889,f279]) ).

fof(f889,plain,
    ( ~ c0_1(a698)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f1661,plain,
    ( spl0_104
    | ~ spl0_176
    | ~ spl0_50
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1647,f535,f412,f1353,f682]) ).

fof(f535,plain,
    ( spl0_75
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1647,plain,
    ( ~ c1_1(a710)
    | c0_1(a710)
    | ~ spl0_50
    | ~ spl0_75 ),
    inference(resolution,[],[f536,f414]) ).

fof(f536,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f1636,plain,
    ( ~ spl0_109
    | spl0_156
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1249,f490,f357,f985,f709]) ).

fof(f1249,plain,
    ( c2_1(a760)
    | ~ c1_1(a760)
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(resolution,[],[f492,f358]) ).

fof(f1629,plain,
    ( spl0_153
    | spl0_85
    | ~ spl0_88
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1616,f1107,f601,f585,f969]) ).

fof(f601,plain,
    ( spl0_88
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1616,plain,
    ( c0_1(a726)
    | c3_1(a726)
    | ~ spl0_88
    | ~ spl0_164 ),
    inference(resolution,[],[f602,f1109]) ).

fof(f1109,plain,
    ( c2_1(a726)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f602,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f1560,plain,
    ( ~ spl0_158
    | spl0_93
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1548,f354,f265,f623,f1003]) ).

fof(f354,plain,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1548,plain,
    ( c3_1(a752)
    | ~ c1_1(a752)
    | ~ spl0_17
    | ~ spl0_37 ),
    inference(resolution,[],[f355,f267]) ).

fof(f355,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f1558,plain,
    ( ~ spl0_180
    | spl0_147
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1551,f954,f354,f931,f1555]) ).

fof(f1551,plain,
    ( c3_1(a697)
    | ~ c1_1(a697)
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(resolution,[],[f355,f956]) ).

fof(f1528,plain,
    ( spl0_143
    | ~ spl0_129
    | ~ spl0_59
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1522,f911,f457,f827,f905]) ).

fof(f1522,plain,
    ( ~ c2_1(a738)
    | c1_1(a738)
    | ~ spl0_59
    | ~ spl0_144 ),
    inference(resolution,[],[f458,f913]) ).

fof(f913,plain,
    ( c3_1(a738)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1438,plain,
    ( ~ spl0_179
    | spl0_114
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1433,f856,f357,f739,f1435]) ).

fof(f1433,plain,
    ( c2_1(a702)
    | ~ c1_1(a702)
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(resolution,[],[f858,f358]) ).

fof(f858,plain,
    ( c3_1(a702)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f1420,plain,
    ( spl0_90
    | spl0_98
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1417,f979,f460,f650,f610]) ).

fof(f610,plain,
    ( spl0_90
  <=> c1_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f650,plain,
    ( spl0_98
  <=> c2_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f979,plain,
    ( spl0_155
  <=> c3_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1417,plain,
    ( c2_1(a734)
    | c1_1(a734)
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(resolution,[],[f981,f461]) ).

fof(f981,plain,
    ( c3_1(a734)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f1403,plain,
    ( spl0_153
    | ~ spl0_62
    | ~ spl0_48
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1395,f1107,f405,f468,f969]) ).

fof(f405,plain,
    ( spl0_48
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1395,plain,
    ( ~ c1_1(a726)
    | c3_1(a726)
    | ~ spl0_48
    | ~ spl0_164 ),
    inference(resolution,[],[f406,f1109]) ).

fof(f406,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f1386,plain,
    ( spl0_94
    | ~ spl0_105
    | ~ spl0_38
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1385,f1118,f357,f688,f628]) ).

fof(f688,plain,
    ( spl0_105
  <=> c1_1(a761) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1385,plain,
    ( ~ c1_1(a761)
    | c2_1(a761)
    | ~ spl0_38
    | ~ spl0_165 ),
    inference(resolution,[],[f1120,f358]) ).

fof(f1120,plain,
    ( c3_1(a761)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1380,plain,
    ( spl0_140
    | spl0_56
    | ~ spl0_49
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1379,f1089,f408,f442,f887]) ).

fof(f408,plain,
    ( spl0_49
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1379,plain,
    ( c2_1(a698)
    | c0_1(a698)
    | ~ spl0_49
    | ~ spl0_163 ),
    inference(resolution,[],[f1091,f409]) ).

fof(f409,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f1362,plain,
    ( spl0_103
    | ~ spl0_82
    | ~ spl0_38
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1361,f843,f357,f569,f677]) ).

fof(f677,plain,
    ( spl0_103
  <=> c2_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f569,plain,
    ( spl0_82
  <=> c1_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f843,plain,
    ( spl0_132
  <=> c3_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1361,plain,
    ( ~ c1_1(a717)
    | c2_1(a717)
    | ~ spl0_38
    | ~ spl0_132 ),
    inference(resolution,[],[f845,f358]) ).

fof(f845,plain,
    ( c3_1(a717)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1356,plain,
    ( spl0_104
    | spl0_176
    | ~ spl0_58
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1351,f655,f453,f1353,f682]) ).

fof(f1351,plain,
    ( c1_1(a710)
    | c0_1(a710)
    | ~ spl0_58
    | ~ spl0_99 ),
    inference(resolution,[],[f657,f454]) ).

fof(f657,plain,
    ( c2_1(a710)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f1340,plain,
    ( spl0_174
    | spl0_127
    | ~ spl0_88
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1324,f756,f601,f815,f1337]) ).

fof(f1324,plain,
    ( c0_1(a692)
    | c3_1(a692)
    | ~ spl0_88
    | ~ spl0_117 ),
    inference(resolution,[],[f602,f758]) ).

fof(f758,plain,
    ( c2_1(a692)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f1335,plain,
    ( spl0_131
    | spl0_95
    | ~ spl0_77
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1318,f601,f545,f634,f837]) ).

fof(f837,plain,
    ( spl0_131
  <=> c3_1(a754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1318,plain,
    ( c0_1(a754)
    | c3_1(a754)
    | ~ spl0_77
    | ~ spl0_88 ),
    inference(resolution,[],[f602,f547]) ).

fof(f1334,plain,
    ( spl0_173
    | spl0_97
    | ~ spl0_39
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1322,f601,f361,f645,f1331]) ).

fof(f1322,plain,
    ( c3_1(a708)
    | c0_1(a708)
    | ~ spl0_39
    | ~ spl0_88 ),
    inference(resolution,[],[f602,f363]) ).

fof(f363,plain,
    ( c2_1(a708)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f1305,plain,
    ( ~ spl0_24
    | ~ spl0_157
    | ~ spl0_45
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1299,f590,f389,f992,f293]) ).

fof(f1299,plain,
    ( ~ c2_1(a730)
    | ~ c1_1(a730)
    | ~ spl0_45
    | ~ spl0_86 ),
    inference(resolution,[],[f591,f391]) ).

fof(f1285,plain,
    ( ~ spl0_112
    | ~ spl0_166
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1274,f550,f336,f1137,f728]) ).

fof(f1274,plain,
    ( ~ c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(resolution,[],[f551,f338]) ).

fof(f1283,plain,
    ( ~ spl0_168
    | ~ spl0_53
    | ~ spl0_68
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1280,f550,f501,f427,f1218]) ).

fof(f1280,plain,
    ( ~ c3_1(a722)
    | ~ c2_1(a722)
    | ~ spl0_68
    | ~ spl0_78 ),
    inference(resolution,[],[f551,f503]) ).

fof(f1271,plain,
    ( spl0_142
    | ~ spl0_109
    | ~ spl0_66
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1264,f535,f490,f709,f900]) ).

fof(f900,plain,
    ( spl0_142
  <=> c0_1(a760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1264,plain,
    ( ~ c1_1(a760)
    | c0_1(a760)
    | ~ spl0_66
    | ~ spl0_75 ),
    inference(resolution,[],[f536,f492]) ).

fof(f1245,plain,
    ( spl0_169
    | spl0_113
    | ~ spl0_74
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1235,f848,f532,f733,f1242]) ).

fof(f1235,plain,
    ( c1_1(a751)
    | c2_1(a751)
    | ~ spl0_74
    | ~ spl0_133 ),
    inference(resolution,[],[f533,f850]) ).

fof(f1221,plain,
    ( spl0_168
    | spl0_32
    | ~ spl0_53
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1214,f460,f427,f331,f1218]) ).

fof(f1214,plain,
    ( c1_1(a722)
    | c2_1(a722)
    | ~ spl0_53
    | ~ spl0_60 ),
    inference(resolution,[],[f429,f461]) ).

fof(f1203,plain,
    ( spl0_126
    | spl0_100
    | ~ spl0_74
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1196,f750,f532,f661,f809]) ).

fof(f1196,plain,
    ( c1_1(a763)
    | c2_1(a763)
    | ~ spl0_74
    | ~ spl0_116 ),
    inference(resolution,[],[f533,f752]) ).

fof(f1140,plain,
    ( spl0_166
    | ~ spl0_79
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1133,f354,f336,f554,f1137]) ).

fof(f1133,plain,
    ( ~ c1_1(a695)
    | c3_1(a695)
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(resolution,[],[f338,f355]) ).

fof(f1132,plain,
    ( spl0_51
    | spl0_127
    | ~ spl0_58
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1130,f756,f453,f815,f417]) ).

fof(f1130,plain,
    ( c0_1(a692)
    | c1_1(a692)
    | ~ spl0_58
    | ~ spl0_117 ),
    inference(resolution,[],[f454,f758]) ).

fof(f1131,plain,
    ( spl0_162
    | spl0_95
    | ~ spl0_58
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1126,f545,f453,f634,f1084]) ).

fof(f1126,plain,
    ( c0_1(a754)
    | c1_1(a754)
    | ~ spl0_58
    | ~ spl0_77 ),
    inference(resolution,[],[f454,f547]) ).

fof(f1112,plain,
    ( spl0_156
    | spl0_142
    | ~ spl0_49
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1102,f709,f408,f900,f985]) ).

fof(f1102,plain,
    ( c0_1(a760)
    | c2_1(a760)
    | ~ spl0_49
    | ~ spl0_109 ),
    inference(resolution,[],[f409,f711]) ).

fof(f711,plain,
    ( c1_1(a760)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1111,plain,
    ( spl0_135
    | spl0_94
    | ~ spl0_49
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1101,f688,f408,f628,f862]) ).

fof(f1101,plain,
    ( c2_1(a761)
    | c0_1(a761)
    | ~ spl0_49
    | ~ spl0_105 ),
    inference(resolution,[],[f409,f690]) ).

fof(f690,plain,
    ( c1_1(a761)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f1110,plain,
    ( spl0_164
    | spl0_85
    | ~ spl0_49
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1104,f468,f408,f585,f1107]) ).

fof(f1104,plain,
    ( c0_1(a726)
    | c2_1(a726)
    | ~ spl0_49
    | ~ spl0_62 ),
    inference(resolution,[],[f409,f470]) ).

fof(f1100,plain,
    ( spl0_97
    | ~ spl0_152
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1096,f405,f361,f964,f645]) ).

fof(f1096,plain,
    ( ~ c1_1(a708)
    | c3_1(a708)
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(resolution,[],[f406,f363]) ).

fof(f1099,plain,
    ( ~ spl0_162
    | spl0_131
    | ~ spl0_48
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1094,f545,f405,f837,f1084]) ).

fof(f1094,plain,
    ( c3_1(a754)
    | ~ c1_1(a754)
    | ~ spl0_48
    | ~ spl0_77 ),
    inference(resolution,[],[f406,f547]) ).

fof(f1082,plain,
    ( spl0_139
    | spl0_128
    | ~ spl0_41
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1076,f640,f371,f821,f882]) ).

fof(f1076,plain,
    ( c1_1(a725)
    | c3_1(a725)
    | ~ spl0_41
    | spl0_96 ),
    inference(resolution,[],[f372,f642]) ).

fof(f642,plain,
    ( ~ c0_1(a725)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f1063,plain,
    ( spl0_161
    | spl0_100
    | ~ spl0_8
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1057,f750,f227,f661,f1060]) ).

fof(f1057,plain,
    ( c1_1(a763)
    | c3_1(a763)
    | ~ spl0_8
    | ~ spl0_116 ),
    inference(resolution,[],[f752,f228]) ).

fof(f1029,plain,
    ( spl0_89
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1026,f389,f354,f293,f605]) ).

fof(f1026,plain,
    ( ~ c1_1(a730)
    | c3_1(a730)
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(resolution,[],[f355,f391]) ).

fof(f1019,plain,
    ( spl0_92
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1018,f278,f240,f619]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1007]) ).

fof(f1007,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | c2_1(X0) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(resolution,[],[f279,f241]) ).

fof(f1006,plain,
    ( spl0_137
    | ~ spl0_158
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1000,f265,f240,f1003,f872]) ).

fof(f1000,plain,
    ( ~ c1_1(a752)
    | c2_1(a752)
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(resolution,[],[f241,f267]) ).

fof(f996,plain,
    ( spl0_137
    | spl0_93
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f989,f265,f219,f623,f872]) ).

fof(f219,plain,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f989,plain,
    ( c3_1(a752)
    | c2_1(a752)
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(resolution,[],[f220,f267]) ).

fof(f220,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f988,plain,
    ( ~ spl0_156
    | spl0_142
    | ~ spl0_4
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f983,f490,f212,f900,f985]) ).

fof(f983,plain,
    ( c0_1(a760)
    | ~ c2_1(a760)
    | ~ spl0_4
    | ~ spl0_66 ),
    inference(resolution,[],[f213,f492]) ).

fof(f982,plain,
    ( spl0_155
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f65,f321,f979]) ).

fof(f321,plain,
    ( spl0_30
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f65,axiom,
    ( ~ hskp15
    | c3_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f972,plain,
    ( ~ spl0_61
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f111,f969,f464]) ).

fof(f464,plain,
    ( spl0_61
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f111,axiom,
    ( ~ c3_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f967,plain,
    ( ~ spl0_19
    | spl0_152 ),
    inference(avatar_split_clause,[],[f75,f964,f274]) ).

fof(f274,plain,
    ( spl0_19
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f75,axiom,
    ( c1_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f962,plain,
    ( ~ spl0_18
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f128,f959,f270]) ).

fof(f270,plain,
    ( spl0_18
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f128,axiom,
    ( ~ c2_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f957,plain,
    ( spl0_150
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f81,f223,f954]) ).

fof(f223,plain,
    ( spl0_7
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f81,axiom,
    ( ~ hskp3
    | c0_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f952,plain,
    ( spl0_7
    | spl0_12
    | ~ spl0_1
    | spl0_60 ),
    inference(avatar_split_clause,[],[f140,f460,f198,f243,f223]) ).

fof(f243,plain,
    ( spl0_12
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f198,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp1
      | hskp3
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f951,plain,
    ( ~ spl0_2
    | spl0_149 ),
    inference(avatar_split_clause,[],[f41,f948,f202]) ).

fof(f202,plain,
    ( spl0_2
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f41,axiom,
    ( c2_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f946,plain,
    ( ~ spl0_1
    | spl0_91
    | spl0_20
    | spl0_118 ),
    inference(avatar_split_clause,[],[f157,f764,f278,f615,f198]) ).

fof(f615,plain,
    ( spl0_91
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X1)
      | hskp6
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f945,plain,
    ( ~ spl0_1
    | spl0_46
    | spl0_20
    | spl0_101 ),
    inference(avatar_split_clause,[],[f162,f666,f278,f394,f198]) ).

fof(f394,plain,
    ( spl0_46
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

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

fof(f944,plain,
    ( spl0_108
    | ~ spl0_1
    | spl0_9
    | spl0_78 ),
    inference(avatar_split_clause,[],[f180,f550,f230,f198,f705]) ).

fof(f230,plain,
    ( spl0_9
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

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

fof(f943,plain,
    ( ~ spl0_1
    | spl0_19
    | spl0_106
    | spl0_80 ),
    inference(avatar_split_clause,[],[f145,f560,f695,f274,f198]) ).

fof(f560,plain,
    ( spl0_80
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp16
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | hskp7
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f942,plain,
    ( spl0_1
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f19,f317,f198]) ).

fof(f317,plain,
    ( spl0_29
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f19,axiom,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f941,plain,
    ( spl0_23
    | spl0_7
    | ~ spl0_1
    | spl0_138 ),
    inference(avatar_split_clause,[],[f187,f877,f198,f223,f289]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | hskp3
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f934,plain,
    ( ~ spl0_7
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f127,f931,f223]) ).

fof(f127,axiom,
    ( ~ c3_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f929,plain,
    ( spl0_1
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f18,f464,f198]) ).

fof(f18,axiom,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f922,plain,
    ( ~ spl0_1
    | spl0_44
    | spl0_23
    | spl0_88 ),
    inference(avatar_split_clause,[],[f178,f601,f289,f384,f198]) ).

fof(f384,plain,
    ( spl0_44
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | hskp8
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f921,plain,
    ( spl0_29
    | spl0_31
    | spl0_61 ),
    inference(avatar_split_clause,[],[f39,f464,f326,f317]) ).

fof(f326,plain,
    ( spl0_31
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f39,axiom,
    ( hskp13
    | hskp20
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f919,plain,
    ( ~ spl0_36
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f104,f916,f350]) ).

fof(f350,plain,
    ( spl0_36
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f104,axiom,
    ( ~ c2_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f914,plain,
    ( spl0_144
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f64,f560,f911]) ).

fof(f64,axiom,
    ( ~ hskp16
    | c3_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f908,plain,
    ( ~ spl0_143
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f106,f560,f905]) ).

fof(f106,axiom,
    ( ~ hskp16
    | ~ c1_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f903,plain,
    ( ~ spl0_47
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f96,f900,f399]) ).

fof(f399,plain,
    ( spl0_47
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f96,axiom,
    ( ~ c0_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f897,plain,
    ( ~ spl0_42
    | spl0_141 ),
    inference(avatar_split_clause,[],[f45,f894,f375]) ).

fof(f375,plain,
    ( spl0_42
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f45,axiom,
    ( c3_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f892,plain,
    ( spl0_14
    | ~ spl0_1
    | spl0_58
    | spl0_7 ),
    inference(avatar_split_clause,[],[f138,f223,f453,f198,f252]) ).

fof(f252,plain,
    ( spl0_14
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f138,axiom,
    ! [X0] :
      ( hskp3
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f891,plain,
    ( spl0_8
    | spl0_58
    | spl0_48
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f198,f405,f453,f227]) ).

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

fof(f890,plain,
    ( ~ spl0_140
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f124,f252,f887]) ).

fof(f124,axiom,
    ( ~ hskp4
    | ~ c0_1(a698) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f885,plain,
    ( ~ spl0_139
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f114,f317,f882]) ).

fof(f114,axiom,
    ( ~ hskp12
    | ~ c3_1(a725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f879,plain,
    ( spl0_47
    | ~ spl0_1
    | spl0_138
    | spl0_28 ),
    inference(avatar_split_clause,[],[f152,f312,f877,f198,f399]) ).

fof(f312,plain,
    ( spl0_28
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp22
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f875,plain,
    ( ~ spl0_16
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f99,f872,f261]) ).

fof(f261,plain,
    ( spl0_16
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f99,axiom,
    ( ~ c2_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f870,plain,
    ( spl0_136
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f77,f615,f867]) ).

fof(f77,axiom,
    ( ~ hskp6
    | c0_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f865,plain,
    ( ~ spl0_28
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f94,f862,f312]) ).

fof(f94,axiom,
    ( ~ c0_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f859,plain,
    ( ~ spl0_91
    | spl0_134 ),
    inference(avatar_split_clause,[],[f78,f856,f615]) ).

fof(f78,axiom,
    ( c3_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f854,plain,
    ( spl0_119
    | ~ spl0_1
    | spl0_42
    | spl0_49 ),
    inference(avatar_split_clause,[],[f170,f408,f375,f198,f770]) ).

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

fof(f852,plain,
    ( ~ spl0_31
    | spl0_1 ),
    inference(avatar_split_clause,[],[f11,f198,f326]) ).

fof(f11,axiom,
    ( ndr1_0
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f851,plain,
    ( ~ spl0_55
    | spl0_133 ),
    inference(avatar_split_clause,[],[f62,f848,f437]) ).

fof(f437,plain,
    ( spl0_55
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f62,axiom,
    ( c0_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f846,plain,
    ( spl0_132
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f72,f565,f843]) ).

fof(f565,plain,
    ( spl0_81
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f72,axiom,
    ( ~ hskp10
    | c3_1(a717) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f840,plain,
    ( ~ spl0_131
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f98,f326,f837]) ).

fof(f98,axiom,
    ( ~ hskp20
    | ~ c3_1(a754) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f830,plain,
    ( spl0_129
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f63,f560,f827]) ).

fof(f63,axiom,
    ( ~ hskp16
    | c2_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f824,plain,
    ( ~ spl0_128
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f113,f317,f821]) ).

fof(f113,axiom,
    ( ~ hskp12
    | ~ c1_1(a725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f818,plain,
    ( ~ spl0_46
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f131,f815,f394]) ).

fof(f131,axiom,
    ( ~ c0_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f813,plain,
    ( ~ spl0_1
    | spl0_18
    | spl0_59
    | spl0_58 ),
    inference(avatar_split_clause,[],[f169,f453,f457,f270,f198]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | hskp2
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f812,plain,
    ( ~ spl0_3
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f93,f809,f207]) ).

fof(f207,plain,
    ( spl0_3
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f93,axiom,
    ( ~ c2_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f807,plain,
    ( spl0_88
    | spl0_6
    | spl0_74
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f198,f532,f219,f601]) ).

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

fof(f806,plain,
    ( spl0_9
    | spl0_8
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f198,f202,f227,f230]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | ~ c0_1(X0)
      | c1_1(X0)
      | hskp14
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f805,plain,
    ( ~ spl0_125
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f105,f350,f802]) ).

fof(f105,axiom,
    ( ~ hskp17
    | ~ c3_1(a744) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f778,plain,
    ( ~ spl0_35
    | spl0_120 ),
    inference(avatar_split_clause,[],[f49,f775,f345]) ).

fof(f345,plain,
    ( spl0_35
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f49,axiom,
    ( c0_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f768,plain,
    ( spl0_31
    | spl0_78
    | ~ spl0_1
    | spl0_48 ),
    inference(avatar_split_clause,[],[f188,f405,f198,f550,f326]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp20
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f767,plain,
    ( ~ spl0_1
    | spl0_35
    | spl0_91
    | spl0_20 ),
    inference(avatar_split_clause,[],[f134,f278,f615,f345,f198]) ).

fof(f134,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp6
      | hskp27
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f766,plain,
    ( ~ spl0_1
    | spl0_101
    | spl0_88
    | spl0_118 ),
    inference(avatar_split_clause,[],[f192,f764,f601,f666,f198]) ).

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

fof(f761,plain,
    ( ~ spl0_1
    | spl0_69
    | spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f166,f240,f223,f507,f198]) ).

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

fof(f759,plain,
    ( spl0_117
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f86,f394,f756]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c2_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f753,plain,
    ( spl0_116
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f56,f207,f750]) ).

fof(f56,axiom,
    ( ~ hskp23
    | c0_1(a763) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f747,plain,
    ( ~ spl0_115
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f102,f437,f744]) ).

fof(f102,axiom,
    ( ~ hskp18
    | ~ c3_1(a751) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f742,plain,
    ( ~ spl0_114
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f122,f615,f739]) ).

fof(f122,axiom,
    ( ~ hskp6
    | ~ c2_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f736,plain,
    ( ~ spl0_113
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f101,f437,f733]) ).

fof(f101,axiom,
    ( ~ hskp18
    | ~ c1_1(a751) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f731,plain,
    ( ~ spl0_22
    | spl0_112 ),
    inference(avatar_split_clause,[],[f48,f728,f285]) ).

fof(f285,plain,
    ( spl0_22
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f48,axiom,
    ( c2_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f726,plain,
    ( ~ spl0_1
    | spl0_12
    | spl0_46
    | spl0_41 ),
    inference(avatar_split_clause,[],[f133,f371,f394,f243,f198]) ).

fof(f133,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp0
      | c1_1(X0)
      | hskp1
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f725,plain,
    ( ~ spl0_111
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f91,f235,f722]) ).

fof(f235,plain,
    ( spl0_10
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f91,axiom,
    ( ~ hskp24
    | ~ c3_1(a764) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f719,plain,
    ( ~ spl0_10
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f90,f716,f235]) ).

fof(f90,axiom,
    ( ~ c2_1(a764)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f713,plain,
    ( spl0_55
    | spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f37,f399,f207,f437]) ).

fof(f37,axiom,
    ( hskp21
    | hskp23
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f712,plain,
    ( ~ spl0_47
    | spl0_109 ),
    inference(avatar_split_clause,[],[f58,f709,f399]) ).

fof(f58,axiom,
    ( c1_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f698,plain,
    ( spl0_80
    | ~ spl0_1
    | spl0_37
    | spl0_30 ),
    inference(avatar_split_clause,[],[f151,f321,f354,f198,f560]) ).

fof(f151,axiom,
    ! [X0] :
      ( hskp15
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c1_1(X0)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f697,plain,
    ( spl0_80
    | spl0_48
    | ~ spl0_1
    | spl0_106 ),
    inference(avatar_split_clause,[],[f181,f695,f198,f405,f560]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp16
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f693,plain,
    ( spl0_29
    | spl0_11
    | ~ spl0_1
    | spl0_74 ),
    inference(avatar_split_clause,[],[f174,f532,f198,f240,f317]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | hskp12
      | c2_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f692,plain,
    ( ~ spl0_1
    | spl0_23
    | spl0_101
    | spl0_22 ),
    inference(avatar_split_clause,[],[f186,f285,f666,f289,f198]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( hskp28
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f691,plain,
    ( spl0_105
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f57,f312,f688]) ).

fof(f57,axiom,
    ( ~ hskp22
    | c1_1(a761) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f685,plain,
    ( ~ spl0_104
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f120,f384,f682]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c0_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f680,plain,
    ( ~ spl0_81
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f116,f677,f565]) ).

fof(f116,axiom,
    ( ~ c2_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f675,plain,
    ( spl0_59
    | ~ spl0_1
    | spl0_4
    | spl0_92 ),
    inference(avatar_split_clause,[],[f195,f619,f212,f198,f457]) ).

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

fof(f673,plain,
    ( spl0_8
    | spl0_61
    | ~ spl0_1
    | spl0_60 ),
    inference(avatar_split_clause,[],[f167,f460,f198,f464,f227]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | hskp13
      | c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f672,plain,
    ( spl0_44
    | spl0_4
    | ~ spl0_1
    | spl0_102 ),
    inference(avatar_split_clause,[],[f185,f670,f198,f212,f384]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | hskp8
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f668,plain,
    ( spl0_46
    | spl0_101
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f198,f227,f666,f394]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f664,plain,
    ( ~ spl0_3
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f92,f661,f207]) ).

fof(f92,axiom,
    ( ~ c1_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f658,plain,
    ( spl0_99
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f73,f384,f655]) ).

fof(f73,axiom,
    ( ~ hskp8
    | c2_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f653,plain,
    ( ~ spl0_30
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f108,f650,f321]) ).

fof(f108,axiom,
    ( ~ c2_1(a734)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f648,plain,
    ( ~ spl0_19
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f121,f645,f274]) ).

fof(f121,axiom,
    ( ~ c3_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f643,plain,
    ( ~ spl0_29
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f112,f640,f317]) ).

fof(f112,axiom,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f637,plain,
    ( ~ spl0_31
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f97,f634,f326]) ).

fof(f97,axiom,
    ( ~ c0_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f632,plain,
    ( spl0_19
    | spl0_61
    | spl0_42 ),
    inference(avatar_split_clause,[],[f35,f375,f464,f274]) ).

fof(f35,axiom,
    ( hskp29
    | hskp13
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f631,plain,
    ( ~ spl0_28
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f95,f628,f312]) ).

fof(f95,axiom,
    ( ~ c2_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f626,plain,
    ( ~ spl0_93
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f100,f261,f623]) ).

fof(f100,axiom,
    ( ~ hskp19
    | ~ c3_1(a752) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f621,plain,
    ( spl0_91
    | ~ spl0_1
    | spl0_92
    | spl0_88 ),
    inference(avatar_split_clause,[],[f165,f601,f619,f198,f615]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f613,plain,
    ( ~ spl0_90
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f107,f321,f610]) ).

fof(f107,axiom,
    ( ~ hskp15
    | ~ c1_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f608,plain,
    ( ~ spl0_89
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f109,f230,f605]) ).

fof(f109,axiom,
    ( ~ hskp14
    | ~ c3_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f603,plain,
    ( ~ spl0_1
    | spl0_75
    | spl0_88
    | spl0_81 ),
    inference(avatar_split_clause,[],[f171,f565,f601,f535,f198]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( hskp10
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f599,plain,
    ( ~ spl0_10
    | spl0_87 ),
    inference(avatar_split_clause,[],[f55,f596,f235]) ).

fof(f55,axiom,
    ( c1_1(a764)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f592,plain,
    ( spl0_3
    | ~ spl0_1
    | spl0_86
    | spl0_10 ),
    inference(avatar_split_clause,[],[f153,f235,f590,f198,f207]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp24
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp23
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f588,plain,
    ( ~ spl0_61
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f110,f585,f464]) ).

fof(f110,axiom,
    ( ~ c0_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f583,plain,
    ( spl0_84
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f84,f270,f580]) ).

fof(f84,axiom,
    ( ~ hskp2
    | c1_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f578,plain,
    ( ~ spl0_83
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f130,f243,f575]) ).

fof(f130,axiom,
    ( ~ hskp1
    | ~ c3_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f573,plain,
    ( spl0_74
    | ~ spl0_1
    | spl0_58
    | spl0_22 ),
    inference(avatar_split_clause,[],[f159,f285,f453,f198,f532]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( hskp28
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f572,plain,
    ( ~ spl0_81
    | spl0_82 ),
    inference(avatar_split_clause,[],[f71,f569,f565]) ).

fof(f71,axiom,
    ( c1_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f557,plain,
    ( spl0_79
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f47,f285,f554]) ).

fof(f47,axiom,
    ( ~ hskp28
    | c1_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f552,plain,
    ( ~ spl0_1
    | spl0_20
    | spl0_78
    | spl0_37 ),
    inference(avatar_split_clause,[],[f193,f354,f550,f278,f198]) ).

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

fof(f548,plain,
    ( spl0_77
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f60,f326,f545]) ).

fof(f60,axiom,
    ( ~ hskp20
    | c2_1(a754) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f543,plain,
    ( ~ spl0_76
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f129,f243,f540]) ).

fof(f129,axiom,
    ( ~ hskp1
    | ~ c1_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f537,plain,
    ( ~ spl0_1
    | spl0_14
    | spl0_74
    | spl0_75 ),
    inference(avatar_split_clause,[],[f172,f535,f532,f252,f198]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | hskp4
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f530,plain,
    ( ~ spl0_42
    | spl0_73 ),
    inference(avatar_split_clause,[],[f43,f527,f375]) ).

fof(f43,axiom,
    ( c0_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f520,plain,
    ( spl0_71
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f83,f270,f517]) ).

fof(f83,axiom,
    ( ~ hskp2
    | c0_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f514,plain,
    ( ~ spl0_35
    | spl0_70 ),
    inference(avatar_split_clause,[],[f51,f511,f345]) ).

fof(f51,axiom,
    ( c3_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f509,plain,
    ( spl0_20
    | ~ spl0_1
    | spl0_69
    | spl0_49 ),
    inference(avatar_split_clause,[],[f184,f408,f507,f198,f278]) ).

fof(f184,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f505,plain,
    ( spl0_61
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f36,f215,f207,f464]) ).

fof(f215,plain,
    ( spl0_5
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f36,axiom,
    ( hskp11
    | hskp23
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f504,plain,
    ( spl0_68
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f69,f215,f501]) ).

fof(f69,axiom,
    ( ~ hskp11
    | c0_1(a722) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f493,plain,
    ( ~ spl0_47
    | spl0_66 ),
    inference(avatar_split_clause,[],[f59,f490,f399]) ).

fof(f59,axiom,
    ( c3_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f488,plain,
    ( ~ spl0_36
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f103,f485,f350]) ).

fof(f103,axiom,
    ( ~ c1_1(a744)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f473,plain,
    ( spl0_19
    | ~ spl0_1
    | spl0_61
    | spl0_59 ),
    inference(avatar_split_clause,[],[f146,f457,f464,f198,f274]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp13
      | c1_1(X0)
      | ~ ndr1_0
      | hskp7
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f471,plain,
    ( ~ spl0_61
    | spl0_62 ),
    inference(avatar_split_clause,[],[f68,f468,f464]) ).

fof(f68,axiom,
    ( c1_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f462,plain,
    ( ~ spl0_1
    | spl0_59
    | spl0_37
    | spl0_60 ),
    inference(avatar_split_clause,[],[f196,f460,f354,f457,f198]) ).

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

fof(f455,plain,
    ( spl0_58
    | ~ spl0_1
    | spl0_35
    | spl0_49 ),
    inference(avatar_split_clause,[],[f158,f408,f345,f198,f453]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | hskp27
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f450,plain,
    ( ~ spl0_2
    | spl0_57 ),
    inference(avatar_split_clause,[],[f42,f447,f202]) ).

fof(f42,axiom,
    ( c3_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f445,plain,
    ( ~ spl0_14
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f125,f442,f252]) ).

fof(f125,axiom,
    ( ~ c2_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f440,plain,
    ( ~ spl0_1
    | spl0_55
    | spl0_16
    | spl0_38 ),
    inference(avatar_split_clause,[],[f148,f357,f261,f437,f198]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | c2_1(X0)
      | hskp19
      | hskp18
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f435,plain,
    ( ~ spl0_1
    | spl0_49
    | spl0_7
    | spl0_54 ),
    inference(avatar_split_clause,[],[f160,f433,f223,f408,f198]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | hskp3
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f430,plain,
    ( spl0_53
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f70,f215,f427]) ).

fof(f70,axiom,
    ( ~ hskp11
    | c3_1(a722) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f425,plain,
    ( spl0_52
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f40,f202,f422]) ).

fof(f40,axiom,
    ( ~ hskp30
    | c1_1(a733) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f420,plain,
    ( ~ spl0_46
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f132,f417,f394]) ).

fof(f132,axiom,
    ( ~ c1_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f415,plain,
    ( ~ spl0_44
    | spl0_50 ),
    inference(avatar_split_clause,[],[f74,f412,f384]) ).

fof(f74,axiom,
    ( c3_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f410,plain,
    ( ~ spl0_1
    | spl0_48
    | spl0_49
    | spl0_37 ),
    inference(avatar_split_clause,[],[f194,f354,f408,f405,f198]) ).

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

fof(f392,plain,
    ( ~ spl0_9
    | spl0_45 ),
    inference(avatar_split_clause,[],[f66,f389,f230]) ).

fof(f66,axiom,
    ( c0_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f382,plain,
    ( ~ spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f44,f379,f375]) ).

fof(f44,axiom,
    ( c2_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f373,plain,
    ( ~ spl0_1
    | spl0_35
    | spl0_41
    | spl0_8 ),
    inference(avatar_split_clause,[],[f156,f227,f371,f345,f198]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | hskp27
      | c0_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f369,plain,
    ( spl0_40
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f85,f243,f366]) ).

fof(f85,axiom,
    ( ~ hskp1
    | c2_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f364,plain,
    ( spl0_39
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f76,f274,f361]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c2_1(a708) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f359,plain,
    ( spl0_36
    | ~ spl0_1
    | spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f183,f357,f354,f198,f350]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f348,plain,
    ( spl0_34
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f50,f345,f341]) ).

fof(f50,axiom,
    ( ~ hskp27
    | c1_1(a691) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f339,plain,
    ( spl0_33
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f46,f285,f336]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c0_1(a695) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f334,plain,
    ( ~ spl0_5
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f115,f331,f215]) ).

fof(f115,axiom,
    ( ~ c1_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f324,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_30
    | spl0_8 ),
    inference(avatar_split_clause,[],[f143,f227,f321,f317,f198]) ).

fof(f143,axiom,
    ! [X0] :
      ( c3_1(X0)
      | ~ c0_1(X0)
      | hskp15
      | c1_1(X0)
      | hskp12
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f306,plain,
    ( spl0_26
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f82,f223,f303]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c2_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f296,plain,
    ( spl0_24
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f67,f230,f293]) ).

fof(f67,axiom,
    ( ~ hskp14
    | c1_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f268,plain,
    ( ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f61,f265,f261]) ).

fof(f61,axiom,
    ( c0_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f259,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f126,f256,f252]) ).

fof(f126,axiom,
    ( ~ c3_1(a698)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f233,plain,
    ( spl0_7
    | spl0_8
    | spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f198,f230,f227,f223]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | ~ c0_1(X0)
      | hskp3
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f221,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f173,f219,f198,f215,f212]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | hskp11
      | ~ c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN472-1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 22:01:25 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  % (25946)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)
% 1.15/0.52  % (25946)Instruction limit reached!
% 1.15/0.52  % (25946)------------------------------
% 1.15/0.52  % (25946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.15/0.52  % (25938)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)
% 1.15/0.53  % (25954)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)
% 1.15/0.53  % (25946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.15/0.53  % (25946)Termination reason: Unknown
% 1.15/0.53  % (25946)Termination phase: Finite model building preprocessing
% 1.15/0.53  
% 1.15/0.53  % (25946)Memory used [KB]: 6140
% 1.15/0.53  % (25946)Time elapsed: 0.006 s
% 1.15/0.53  % (25946)Instructions burned: 7 (million)
% 1.15/0.53  % (25946)------------------------------
% 1.15/0.53  % (25946)------------------------------
% 1.15/0.53  % (25948)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.31/0.54  % (25945)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)
% 1.31/0.54  % (25956)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)
% 1.31/0.54  % (25931)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.31/0.54  % (25934)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)
% 1.31/0.54  % (25940)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)
% 1.31/0.54  % (25933)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)
% 1.31/0.54  % (25932)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)
% 1.31/0.54  % (25937)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)
% 1.31/0.54  % (25942)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)
% 1.31/0.55  % (25960)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)
% 1.31/0.55  % (25936)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.31/0.55  % (25959)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)
% 1.31/0.55  % (25935)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)
% 1.31/0.55  % (25953)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)
% 1.31/0.55  % (25957)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)
% 1.31/0.55  % (25958)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)
% 1.31/0.55  % (25933)Instruction limit reached!
% 1.31/0.55  % (25933)------------------------------
% 1.31/0.55  % (25933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55  % (25952)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)
% 1.31/0.55  % (25949)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)
% 1.31/0.56  % (25944)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)
% 1.31/0.56  % (25951)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)
% 1.31/0.56  % (25941)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)
% 1.31/0.56  % (25933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.56  % (25933)Termination reason: Unknown
% 1.31/0.56  % (25933)Termination phase: Saturation
% 1.31/0.56  
% 1.31/0.56  % (25933)Memory used [KB]: 6012
% 1.31/0.56  % (25933)Time elapsed: 0.004 s
% 1.31/0.56  % (25933)Instructions burned: 4 (million)
% 1.31/0.56  % (25933)------------------------------
% 1.31/0.56  % (25933)------------------------------
% 1.31/0.56  % (25943)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)
% 1.31/0.56  % (25948)Instruction limit reached!
% 1.31/0.56  % (25948)------------------------------
% 1.31/0.56  % (25948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56  % (25950)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)
% 1.31/0.56  % (25947)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)
% 1.31/0.56  % (25943)Instruction limit reached!
% 1.31/0.56  % (25943)------------------------------
% 1.31/0.56  % (25943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56  % (25939)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)
% 1.31/0.57  % (25955)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)
% 1.31/0.57  % (25948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25948)Termination reason: Unknown
% 1.31/0.57  % (25948)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25948)Memory used [KB]: 6524
% 1.31/0.57  % (25948)Time elapsed: 0.145 s
% 1.31/0.57  % (25948)Instructions burned: 9 (million)
% 1.31/0.57  % (25948)------------------------------
% 1.31/0.57  % (25948)------------------------------
% 1.31/0.57  % (25944)Instruction limit reached!
% 1.31/0.57  % (25944)------------------------------
% 1.31/0.57  % (25944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25944)Termination reason: Unknown
% 1.31/0.57  % (25944)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25944)Memory used [KB]: 1535
% 1.31/0.57  % (25944)Time elapsed: 0.005 s
% 1.31/0.57  % (25944)Instructions burned: 3 (million)
% 1.31/0.57  % (25944)------------------------------
% 1.31/0.57  % (25944)------------------------------
% 1.31/0.57  % (25951)Instruction limit reached!
% 1.31/0.57  % (25951)------------------------------
% 1.31/0.57  % (25951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25943)Termination reason: Unknown
% 1.31/0.57  % (25943)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25943)Memory used [KB]: 6396
% 1.31/0.57  % (25943)Time elapsed: 0.004 s
% 1.31/0.57  % (25943)Instructions burned: 7 (million)
% 1.31/0.57  % (25943)------------------------------
% 1.31/0.57  % (25943)------------------------------
% 1.31/0.57  % (25954)Instruction limit reached!
% 1.31/0.57  % (25954)------------------------------
% 1.31/0.57  % (25954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25954)Termination reason: Unknown
% 1.31/0.57  % (25954)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25954)Memory used [KB]: 6524
% 1.31/0.57  % (25954)Time elapsed: 0.156 s
% 1.31/0.57  % (25954)Instructions burned: 37 (million)
% 1.31/0.57  % (25954)------------------------------
% 1.31/0.57  % (25954)------------------------------
% 1.31/0.57  % (25947)Instruction limit reached!
% 1.31/0.57  % (25947)------------------------------
% 1.31/0.57  % (25947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25947)Termination reason: Unknown
% 1.31/0.57  % (25947)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25947)Memory used [KB]: 6012
% 1.31/0.57  % (25947)Time elapsed: 0.004 s
% 1.31/0.57  % (25947)Instructions burned: 3 (million)
% 1.31/0.57  % (25947)------------------------------
% 1.31/0.57  % (25947)------------------------------
% 1.31/0.57  % (25936)Instruction limit reached!
% 1.31/0.57  % (25936)------------------------------
% 1.31/0.57  % (25936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25936)Termination reason: Unknown
% 1.31/0.57  % (25936)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25936)Memory used [KB]: 6780
% 1.31/0.57  % (25936)Time elapsed: 0.142 s
% 1.31/0.57  % (25936)Instructions burned: 25 (million)
% 1.31/0.57  % (25936)------------------------------
% 1.31/0.57  % (25936)------------------------------
% 1.31/0.57  % (25941)Instruction limit reached!
% 1.31/0.57  % (25941)------------------------------
% 1.31/0.57  % (25941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25939)Instruction limit reached!
% 1.31/0.57  % (25939)------------------------------
% 1.31/0.57  % (25939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25941)Termination reason: Unknown
% 1.31/0.57  % (25941)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25939)Termination reason: Unknown
% 1.31/0.57  % (25939)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (25941)Memory used [KB]: 6012
% 1.31/0.57  % (25941)Time elapsed: 0.007 s
% 1.31/0.57  % (25939)Memory used [KB]: 6140
% 1.31/0.57  % (25941)Instructions burned: 7 (million)
% 1.31/0.57  % (25939)Time elapsed: 0.004 s
% 1.31/0.57  % (25941)------------------------------
% 1.31/0.57  % (25941)------------------------------
% 1.31/0.57  % (25939)Instructions burned: 4 (million)
% 1.31/0.57  % (25939)------------------------------
% 1.31/0.57  % (25939)------------------------------
% 1.31/0.57  % (25938)Instruction limit reached!
% 1.31/0.57  % (25938)------------------------------
% 1.31/0.57  % (25938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (25938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (25938)Termination reason: Unknown
% 1.31/0.57  % (25938)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.58  % (25938)Memory used [KB]: 7036
% 1.31/0.58  % (25938)Time elapsed: 0.157 s
% 1.31/0.58  % (25938)Instructions burned: 51 (million)
% 1.31/0.58  % (25938)------------------------------
% 1.31/0.58  % (25938)------------------------------
% 1.31/0.58  % (25950)Instruction limit reached!
% 1.31/0.58  % (25950)------------------------------
% 1.31/0.58  % (25950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.58  % (25950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.58  % (25950)Termination reason: Unknown
% 1.31/0.58  % (25950)Termination phase: Saturation
% 1.31/0.58  
% 1.31/0.58  % (25950)Memory used [KB]: 6396
% 1.31/0.58  % (25950)Time elapsed: 0.166 s
% 1.31/0.58  % (25950)Instructions burned: 7 (million)
% 1.31/0.58  % (25950)------------------------------
% 1.31/0.58  % (25950)------------------------------
% 1.31/0.58  % (25951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.58  % (25951)Termination reason: Unknown
% 1.31/0.58  % (25951)Termination phase: Saturation
% 1.31/0.58  
% 1.31/0.58  % (25951)Memory used [KB]: 1535
% 1.31/0.58  % (25951)Time elapsed: 0.006 s
% 1.31/0.58  % (25951)Instructions burned: 7 (million)
% 1.31/0.58  % (25951)------------------------------
% 1.31/0.58  % (25951)------------------------------
% 1.31/0.58  % (25959)Instruction limit reached!
% 1.31/0.58  % (25959)------------------------------
% 1.31/0.58  % (25959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.58  % (25959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.58  % (25959)Termination reason: Unknown
% 1.31/0.58  % (25959)Termination phase: Saturation
% 1.31/0.58  
% 1.31/0.58  % (25959)Memory used [KB]: 6652
% 1.31/0.58  % (25959)Time elapsed: 0.152 s
% 1.31/0.58  % (25959)Instructions burned: 21 (million)
% 1.31/0.58  % (25959)------------------------------
% 1.31/0.58  % (25959)------------------------------
% 1.31/0.59  % (25942)Instruction limit reached!
% 1.31/0.59  % (25942)------------------------------
% 1.31/0.59  % (25942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.59  % (25942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.59  % (25942)Termination reason: Unknown
% 1.31/0.59  % (25942)Termination phase: Saturation
% 1.31/0.59  
% 1.31/0.59  % (25942)Memory used [KB]: 6396
% 1.31/0.59  % (25942)Time elapsed: 0.179 s
% 1.31/0.59  % (25942)Instructions burned: 23 (million)
% 1.31/0.59  % (25942)------------------------------
% 1.31/0.59  % (25942)------------------------------
% 1.31/0.59  % (25935)Instruction limit reached!
% 1.31/0.59  % (25935)------------------------------
% 1.31/0.59  % (25935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.59  % (25935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.59  % (25935)Termination reason: Unknown
% 1.31/0.59  % (25935)Termination phase: Saturation
% 1.31/0.59  
% 1.31/0.59  % (25935)Memory used [KB]: 7036
% 1.31/0.59  % (25935)Time elapsed: 0.176 s
% 1.31/0.59  % (25935)Instructions burned: 34 (million)
% 1.31/0.59  % (25935)------------------------------
% 1.31/0.59  % (25935)------------------------------
% 1.31/0.59  % (25945)Instruction limit reached!
% 1.31/0.59  % (25945)------------------------------
% 1.31/0.59  % (25945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.59  % (25945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.59  % (25945)Termination reason: Unknown
% 1.31/0.59  % (25945)Termination phase: Saturation
% 1.31/0.59  
% 1.31/0.59  % (25945)Memory used [KB]: 1791
% 1.31/0.59  % (25945)Time elapsed: 0.143 s
% 1.31/0.59  % (25945)Instructions burned: 29 (million)
% 1.31/0.59  % (25945)------------------------------
% 1.31/0.59  % (25945)------------------------------
% 1.31/0.59  % (25949)Instruction limit reached!
% 1.31/0.59  % (25949)------------------------------
% 1.31/0.59  % (25949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.59  % (25949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.59  % (25949)Termination reason: Unknown
% 1.31/0.59  % (25949)Termination phase: Saturation
% 1.31/0.59  
% 1.31/0.59  % (25949)Memory used [KB]: 11385
% 1.31/0.59  % (25949)Time elapsed: 0.163 s
% 1.31/0.59  % (25949)Instructions burned: 28 (million)
% 1.31/0.59  % (25949)------------------------------
% 1.31/0.59  % (25949)------------------------------
% 1.31/0.61  % (25932)Instruction limit reached!
% 1.31/0.61  % (25932)------------------------------
% 1.31/0.61  % (25932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.61  % (25932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (25932)Termination reason: Unknown
% 1.31/0.61  % (25932)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (25932)Memory used [KB]: 1791
% 1.31/0.61  % (25932)Time elapsed: 0.172 s
% 1.31/0.61  % (25932)Instructions burned: 42 (million)
% 1.31/0.61  % (25932)------------------------------
% 1.31/0.61  % (25932)------------------------------
% 1.31/0.61  % (25934)Instruction limit reached!
% 1.31/0.61  % (25934)------------------------------
% 1.31/0.61  % (25934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.61  % (25934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.61  % (25934)Termination reason: Unknown
% 1.31/0.61  % (25934)Termination phase: Saturation
% 1.31/0.61  
% 1.31/0.61  % (25934)Memory used [KB]: 7164
% 1.31/0.61  % (25934)Time elapsed: 0.177 s
% 1.31/0.61  % (25934)Instructions burned: 44 (million)
% 1.31/0.61  % (25934)------------------------------
% 1.31/0.61  % (25934)------------------------------
% 1.93/0.64  % (25940)Instruction limit reached!
% 1.93/0.64  % (25940)------------------------------
% 1.93/0.64  % (25940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64  % (25940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64  % (25940)Termination reason: Unknown
% 1.93/0.64  % (25940)Termination phase: Saturation
% 1.93/0.64  
% 1.93/0.64  % (25940)Memory used [KB]: 6908
% 1.93/0.64  % (25940)Time elapsed: 0.223 s
% 1.93/0.64  % (25940)Instructions burned: 51 (million)
% 1.93/0.64  % (25940)------------------------------
% 1.93/0.64  % (25940)------------------------------
% 1.93/0.64  % (25955)Instruction limit reached!
% 1.93/0.64  % (25955)------------------------------
% 1.93/0.64  % (25955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64  % (25955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64  % (25955)Termination reason: Unknown
% 1.93/0.64  % (25955)Termination phase: Saturation
% 1.93/0.64  
% 1.93/0.64  % (25955)Memory used [KB]: 7164
% 1.93/0.64  % (25955)Time elapsed: 0.226 s
% 1.93/0.64  % (25955)Instructions burned: 47 (million)
% 1.93/0.64  % (25955)------------------------------
% 1.93/0.64  % (25955)------------------------------
% 1.93/0.64  % (25952)First to succeed.
% 1.93/0.65  % (25937)Instruction limit reached!
% 1.93/0.65  % (25937)------------------------------
% 1.93/0.65  % (25937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.65  % (25937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.65  % (25937)Termination reason: Unknown
% 1.93/0.65  % (25937)Termination phase: Saturation
% 1.93/0.65  
% 1.93/0.65  % (25937)Memory used [KB]: 1663
% 1.93/0.65  % (25937)Time elapsed: 0.185 s
% 1.93/0.65  % (25937)Instructions burned: 49 (million)
% 1.93/0.65  % (25937)------------------------------
% 1.93/0.65  % (25937)------------------------------
% 1.93/0.66  % (25961)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.93/0.67  % (25956)Instruction limit reached!
% 1.93/0.67  % (25956)------------------------------
% 1.93/0.67  % (25956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.67  % (25956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.67  % (25956)Termination reason: Unknown
% 1.93/0.67  % (25956)Termination phase: Saturation
% 1.93/0.67  
% 1.93/0.67  % (25956)Memory used [KB]: 7164
% 1.93/0.67  % (25956)Time elapsed: 0.244 s
% 1.93/0.67  % (25956)Instructions burned: 81 (million)
% 1.93/0.67  % (25956)------------------------------
% 1.93/0.67  % (25956)------------------------------
% 1.93/0.67  % (25958)Instruction limit reached!
% 1.93/0.67  % (25958)------------------------------
% 1.93/0.67  % (25958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.67  % (25958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.67  % (25958)Termination reason: Unknown
% 1.93/0.67  % (25958)Termination phase: Saturation
% 1.93/0.67  
% 1.93/0.67  % (25958)Memory used [KB]: 1663
% 1.93/0.67  % (25958)Time elapsed: 0.247 s
% 1.93/0.67  % (25958)Instructions burned: 74 (million)
% 1.93/0.67  % (25958)------------------------------
% 1.93/0.67  % (25958)------------------------------
% 1.93/0.67  % (25952)Refutation found. Thanks to Tanya!
% 1.93/0.67  % SZS status Unsatisfiable for theBenchmark
% 1.93/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.67  % (25952)------------------------------
% 1.93/0.67  % (25952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.67  % (25952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.67  % (25952)Termination reason: Refutation
% 1.93/0.67  
% 1.93/0.67  % (25952)Memory used [KB]: 7291
% 1.93/0.67  % (25952)Time elapsed: 0.237 s
% 1.93/0.67  % (25952)Instructions burned: 52 (million)
% 1.93/0.67  % (25952)------------------------------
% 1.93/0.67  % (25952)------------------------------
% 1.93/0.67  % (25930)Success in time 0.311 s
%------------------------------------------------------------------------------