TSTP Solution File: SYN473-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN473-1 : 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 : n021.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 19:27:04 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  254
% Syntax   : Number of formulae    :  548 (   1 unt;   0 def)
%            Number of atoms       : 1669 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1960 ( 839   ~; 982   |;   0   &)
%                                         ( 139 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  170 ( 169 usr; 166 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :   99 (  99   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2067,plain,
    $false,
    inference(avatar_sat_refutation,[],[f214,f234,f254,f267,f272,f297,f306,f315,f326,f344,f353,f363,f370,f375,f388,f406,f411,f417,f437,f442,f447,f451,f461,f466,f474,f484,f489,f494,f516,f517,f536,f542,f545,f551,f556,f557,f562,f567,f572,f574,f579,f584,f589,f603,f606,f611,f616,f617,f622,f627,f628,f629,f639,f645,f650,f674,f680,f692,f693,f699,f704,f718,f720,f739,f744,f749,f754,f760,f765,f771,f772,f777,f782,f787,f788,f793,f798,f805,f810,f817,f819,f820,f830,f832,f838,f844,f849,f857,f862,f868,f877,f882,f883,f888,f900,f901,f906,f911,f916,f917,f923,f925,f926,f932,f937,f943,f950,f955,f961,f962,f963,f968,f973,f974,f979,f987,f1003,f1007,f1008,f1015,f1033,f1034,f1039,f1042,f1071,f1072,f1078,f1086,f1093,f1103,f1109,f1138,f1144,f1180,f1185,f1186,f1187,f1210,f1211,f1214,f1222,f1224,f1240,f1288,f1317,f1318,f1320,f1358,f1366,f1399,f1402,f1416,f1417,f1420,f1439,f1514,f1515,f1594,f1601,f1656,f1657,f1658,f1668,f1676,f1735,f1737,f1960,f1961,f1962,f1963,f1967,f2006,f2062,f2063]) ).

fof(f2063,plain,
    ( ~ spl0_97
    | ~ spl0_37
    | ~ spl0_56
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2059,f1089,f435,f350,f647]) ).

fof(f647,plain,
    ( spl0_97
  <=> c3_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f350,plain,
    ( spl0_37
  <=> c0_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f435,plain,
    ( spl0_56
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1089,plain,
    ( spl0_164
  <=> c2_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2059,plain,
    ( ~ c0_1(a799)
    | ~ c3_1(a799)
    | ~ spl0_56
    | ~ spl0_164 ),
    inference(resolution,[],[f436,f1091]) ).

fof(f1091,plain,
    ( c2_1(a799)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f436,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f2062,plain,
    ( ~ spl0_113
    | ~ spl0_144
    | ~ spl0_56
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2047,f934,f435,f913,f736]) ).

fof(f736,plain,
    ( spl0_113
  <=> c0_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f913,plain,
    ( spl0_144
  <=> c3_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f934,plain,
    ( spl0_147
  <=> c2_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2047,plain,
    ( ~ c3_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_56
    | ~ spl0_147 ),
    inference(resolution,[],[f436,f936]) ).

fof(f936,plain,
    ( c2_1(a796)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f2006,plain,
    ( spl0_146
    | spl0_79
    | ~ spl0_11
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2005,f1055,f240,f548,f929]) ).

fof(f929,plain,
    ( spl0_146
  <=> c2_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f548,plain,
    ( spl0_79
  <=> c1_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

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

fof(f1055,plain,
    ( spl0_161
  <=> c0_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2005,plain,
    ( c1_1(a808)
    | c2_1(a808)
    | ~ spl0_11
    | ~ spl0_161 ),
    inference(resolution,[],[f1057,f241]) ).

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

fof(f1057,plain,
    ( c0_1(a808)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1967,plain,
    ( ~ spl0_113
    | ~ spl0_177
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1743,f913,f229,f1413,f736]) ).

fof(f1413,plain,
    ( spl0_177
  <=> c1_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f229,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1743,plain,
    ( ~ c1_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_8
    | ~ spl0_144 ),
    inference(resolution,[],[f230,f915]) ).

fof(f915,plain,
    ( c3_1(a796)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f230,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f1963,plain,
    ( spl0_161
    | spl0_79
    | ~ spl0_20
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1814,f885,f278,f548,f1055]) ).

fof(f278,plain,
    ( spl0_20
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f885,plain,
    ( spl0_139
  <=> c3_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1814,plain,
    ( c1_1(a808)
    | c0_1(a808)
    | ~ spl0_20
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f279]) ).

fof(f279,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f887,plain,
    ( c3_1(a808)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f1962,plain,
    ( spl0_161
    | spl0_146
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1903,f885,f431,f929,f1055]) ).

fof(f431,plain,
    ( spl0_55
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1903,plain,
    ( c2_1(a808)
    | c0_1(a808)
    | ~ spl0_55
    | ~ spl0_139 ),
    inference(resolution,[],[f432,f887]) ).

fof(f432,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f1961,plain,
    ( ~ spl0_163
    | ~ spl0_114
    | ~ spl0_8
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1742,f835,f229,f741,f1075]) ).

fof(f1075,plain,
    ( spl0_163
  <=> c0_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f741,plain,
    ( spl0_114
  <=> c1_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f835,plain,
    ( spl0_130
  <=> c3_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1742,plain,
    ( ~ c1_1(a797)
    | ~ c0_1(a797)
    | ~ spl0_8
    | ~ spl0_130 ),
    inference(resolution,[],[f230,f837]) ).

fof(f837,plain,
    ( c3_1(a797)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f1960,plain,
    ( spl0_163
    | ~ spl0_114
    | ~ spl0_62
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1942,f472,f463,f741,f1075]) ).

fof(f463,plain,
    ( spl0_62
  <=> c2_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f472,plain,
    ( spl0_64
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1942,plain,
    ( ~ c1_1(a797)
    | c0_1(a797)
    | ~ spl0_62
    | ~ spl0_64 ),
    inference(resolution,[],[f473,f465]) ).

fof(f465,plain,
    ( c2_1(a797)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f473,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1737,plain,
    ( spl0_92
    | spl0_180
    | ~ spl0_20
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1706,f965,f278,f1673,f619]) ).

fof(f619,plain,
    ( spl0_92
  <=> c0_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1673,plain,
    ( spl0_180
  <=> c1_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f965,plain,
    ( spl0_152
  <=> c3_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1706,plain,
    ( c1_1(a869)
    | c0_1(a869)
    | ~ spl0_20
    | ~ spl0_152 ),
    inference(resolution,[],[f279,f967]) ).

fof(f967,plain,
    ( c3_1(a869)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f1735,plain,
    ( spl0_137
    | ~ spl0_169
    | ~ spl0_30
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1722,f814,f321,f1165,f874]) ).

fof(f874,plain,
    ( spl0_137
  <=> c3_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1165,plain,
    ( spl0_169
  <=> c0_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f321,plain,
    ( spl0_30
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f814,plain,
    ( spl0_127
  <=> c2_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1722,plain,
    ( ~ c0_1(a865)
    | c3_1(a865)
    | ~ spl0_30
    | ~ spl0_127 ),
    inference(resolution,[],[f322,f816]) ).

fof(f816,plain,
    ( c2_1(a865)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f322,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1676,plain,
    ( ~ spl0_180
    | spl0_92
    | ~ spl0_64
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1670,f768,f472,f619,f1673]) ).

fof(f768,plain,
    ( spl0_119
  <=> c2_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1670,plain,
    ( c0_1(a869)
    | ~ c1_1(a869)
    | ~ spl0_64
    | ~ spl0_119 ),
    inference(resolution,[],[f770,f473]) ).

fof(f770,plain,
    ( c2_1(a869)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1668,plain,
    ( ~ spl0_117
    | spl0_91
    | ~ spl0_88
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1667,f706,f596,f613,f757]) ).

fof(f757,plain,
    ( spl0_117
  <=> c1_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f613,plain,
    ( spl0_91
  <=> c2_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f596,plain,
    ( spl0_88
  <=> c3_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f706,plain,
    ( spl0_107
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1667,plain,
    ( c2_1(a803)
    | ~ c1_1(a803)
    | ~ spl0_88
    | ~ spl0_107 ),
    inference(resolution,[],[f598,f707]) ).

fof(f707,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f598,plain,
    ( c3_1(a803)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f1658,plain,
    ( spl0_164
    | ~ spl0_37
    | ~ spl0_97
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1652,f785,f647,f350,f1089]) ).

fof(f785,plain,
    ( spl0_122
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1652,plain,
    ( ~ c0_1(a799)
    | c2_1(a799)
    | ~ spl0_97
    | ~ spl0_122 ),
    inference(resolution,[],[f786,f649]) ).

fof(f649,plain,
    ( c3_1(a799)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f786,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f1657,plain,
    ( spl0_151
    | ~ spl0_42
    | ~ spl0_77
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1649,f785,f533,f372,f958]) ).

fof(f958,plain,
    ( spl0_151
  <=> c2_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f372,plain,
    ( spl0_42
  <=> c0_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f533,plain,
    ( spl0_77
  <=> c3_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1649,plain,
    ( ~ c0_1(a838)
    | c2_1(a838)
    | ~ spl0_77
    | ~ spl0_122 ),
    inference(resolution,[],[f786,f535]) ).

fof(f535,plain,
    ( c3_1(a838)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f1656,plain,
    ( spl0_146
    | ~ spl0_161
    | ~ spl0_122
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1650,f885,f785,f1055,f929]) ).

fof(f1650,plain,
    ( ~ c0_1(a808)
    | c2_1(a808)
    | ~ spl0_122
    | ~ spl0_139 ),
    inference(resolution,[],[f786,f887]) ).

fof(f1601,plain,
    ( spl0_150
    | ~ spl0_142
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1600,f846,f365,f903,f952]) ).

fof(f952,plain,
    ( spl0_150
  <=> c2_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f903,plain,
    ( spl0_142
  <=> c0_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f365,plain,
    ( spl0_40
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f846,plain,
    ( spl0_132
  <=> c1_1(a825) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1600,plain,
    ( ~ c0_1(a825)
    | c2_1(a825)
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(resolution,[],[f848,f366]) ).

fof(f366,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f848,plain,
    ( c1_1(a825)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f1594,plain,
    ( spl0_118
    | spl0_156
    | spl0_3
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1590,f722,f207,f992,f762]) ).

fof(f762,plain,
    ( spl0_118
  <=> c0_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f992,plain,
    ( spl0_156
  <=> c1_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f207,plain,
    ( spl0_3
  <=> c3_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f722,plain,
    ( spl0_110
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1590,plain,
    ( c1_1(a807)
    | c0_1(a807)
    | spl0_3
    | ~ spl0_110 ),
    inference(resolution,[],[f723,f209]) ).

fof(f209,plain,
    ( ~ c3_1(a807)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f723,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f1515,plain,
    ( ~ spl0_161
    | spl0_79
    | ~ spl0_70
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1510,f885,f500,f548,f1055]) ).

fof(f500,plain,
    ( spl0_70
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1510,plain,
    ( c1_1(a808)
    | ~ c0_1(a808)
    | ~ spl0_70
    | ~ spl0_139 ),
    inference(resolution,[],[f501,f887]) ).

fof(f501,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1514,plain,
    ( ~ spl0_42
    | spl0_155
    | ~ spl0_70
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1508,f533,f500,f984,f372]) ).

fof(f984,plain,
    ( spl0_155
  <=> c1_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1508,plain,
    ( c1_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_70
    | ~ spl0_77 ),
    inference(resolution,[],[f501,f535]) ).

fof(f1439,plain,
    ( ~ spl0_97
    | spl0_50
    | ~ spl0_9
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1438,f1089,f232,f408,f647]) ).

fof(f408,plain,
    ( spl0_50
  <=> c1_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f232,plain,
    ( spl0_9
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1438,plain,
    ( c1_1(a799)
    | ~ c3_1(a799)
    | ~ spl0_9
    | ~ spl0_164 ),
    inference(resolution,[],[f1091,f233]) ).

fof(f233,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f1420,plain,
    ( ~ spl0_44
    | spl0_57
    | ~ spl0_9
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1419,f414,f232,f439,f381]) ).

fof(f381,plain,
    ( spl0_44
  <=> c3_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f439,plain,
    ( spl0_57
  <=> c1_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f414,plain,
    ( spl0_51
  <=> c2_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1419,plain,
    ( c1_1(a817)
    | ~ c3_1(a817)
    | ~ spl0_9
    | ~ spl0_51 ),
    inference(resolution,[],[f416,f233]) ).

fof(f416,plain,
    ( c2_1(a817)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1417,plain,
    ( spl0_177
    | ~ spl0_144
    | ~ spl0_9
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1410,f934,f232,f913,f1413]) ).

fof(f1410,plain,
    ( ~ c3_1(a796)
    | c1_1(a796)
    | ~ spl0_9
    | ~ spl0_147 ),
    inference(resolution,[],[f936,f233]) ).

fof(f1416,plain,
    ( ~ spl0_144
    | ~ spl0_177
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1411,f934,f342,f1413,f913]) ).

fof(f342,plain,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1411,plain,
    ( ~ c1_1(a796)
    | ~ c3_1(a796)
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(resolution,[],[f936,f343]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f1402,plain,
    ( ~ spl0_148
    | spl0_172
    | ~ spl0_30
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1398,f696,f321,f1237,f940]) ).

fof(f940,plain,
    ( spl0_148
  <=> c0_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1237,plain,
    ( spl0_172
  <=> c3_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f696,plain,
    ( spl0_105
  <=> c2_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1398,plain,
    ( c3_1(a793)
    | ~ c0_1(a793)
    | ~ spl0_30
    | ~ spl0_105 ),
    inference(resolution,[],[f322,f698]) ).

fof(f698,plain,
    ( c2_1(a793)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1399,plain,
    ( ~ spl0_86
    | spl0_14
    | ~ spl0_30
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1394,f1219,f321,f251,f586]) ).

fof(f586,plain,
    ( spl0_86
  <=> c0_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f251,plain,
    ( spl0_14
  <=> c3_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1219,plain,
    ( spl0_171
  <=> c2_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1394,plain,
    ( c3_1(a806)
    | ~ c0_1(a806)
    | ~ spl0_30
    | ~ spl0_171 ),
    inference(resolution,[],[f322,f1221]) ).

fof(f1221,plain,
    ( c2_1(a806)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1366,plain,
    ( ~ spl0_85
    | ~ spl0_104
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1364,f636,f229,f689,f581]) ).

fof(f581,plain,
    ( spl0_85
  <=> c0_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f689,plain,
    ( spl0_104
  <=> c1_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f636,plain,
    ( spl0_95
  <=> c3_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1364,plain,
    ( ~ c1_1(a867)
    | ~ c0_1(a867)
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(resolution,[],[f638,f230]) ).

fof(f638,plain,
    ( c3_1(a867)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f1358,plain,
    ( spl0_84
    | ~ spl0_93
    | ~ spl0_64
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1348,f553,f472,f624,f576]) ).

fof(f576,plain,
    ( spl0_84
  <=> c0_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f624,plain,
    ( spl0_93
  <=> c1_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f553,plain,
    ( spl0_80
  <=> c2_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1348,plain,
    ( ~ c1_1(a809)
    | c0_1(a809)
    | ~ spl0_64
    | ~ spl0_80 ),
    inference(resolution,[],[f473,f555]) ).

fof(f555,plain,
    ( c2_1(a809)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f1320,plain,
    ( spl0_153
    | spl0_120
    | ~ spl0_59
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1308,f1182,f449,f774,f970]) ).

fof(f970,plain,
    ( spl0_153
  <=> c0_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f774,plain,
    ( spl0_120
  <=> c3_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f449,plain,
    ( spl0_59
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1182,plain,
    ( spl0_170
  <=> c2_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1308,plain,
    ( c3_1(a814)
    | c0_1(a814)
    | ~ spl0_59
    | ~ spl0_170 ),
    inference(resolution,[],[f450,f1184]) ).

fof(f1184,plain,
    ( c2_1(a814)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1182]) ).

fof(f450,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f1318,plain,
    ( spl0_141
    | spl0_162
    | ~ spl0_59
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1312,f481,f449,f1068,f897]) ).

fof(f897,plain,
    ( spl0_141
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1068,plain,
    ( spl0_162
  <=> c3_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f481,plain,
    ( spl0_66
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1312,plain,
    ( c3_1(a802)
    | c0_1(a802)
    | ~ spl0_59
    | ~ spl0_66 ),
    inference(resolution,[],[f450,f483]) ).

fof(f483,plain,
    ( c2_1(a802)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1317,plain,
    ( spl0_159
    | spl0_101
    | ~ spl0_59
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1307,f486,f449,f671,f1030]) ).

fof(f1030,plain,
    ( spl0_159
  <=> c0_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f671,plain,
    ( spl0_101
  <=> c3_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f486,plain,
    ( spl0_67
  <=> c2_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1307,plain,
    ( c3_1(a832)
    | c0_1(a832)
    | ~ spl0_59
    | ~ spl0_67 ),
    inference(resolution,[],[f450,f488]) ).

fof(f488,plain,
    ( c2_1(a832)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1288,plain,
    ( spl0_109
    | spl0_154
    | ~ spl0_28
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1282,f431,f312,f976,f715]) ).

fof(f715,plain,
    ( spl0_109
  <=> c0_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f976,plain,
    ( spl0_154
  <=> c2_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f312,plain,
    ( spl0_28
  <=> c3_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1282,plain,
    ( c2_1(a794)
    | c0_1(a794)
    | ~ spl0_28
    | ~ spl0_55 ),
    inference(resolution,[],[f432,f314]) ).

fof(f314,plain,
    ( c3_1(a794)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f1240,plain,
    ( ~ spl0_172
    | spl0_125
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1234,f696,f232,f802,f1237]) ).

fof(f802,plain,
    ( spl0_125
  <=> c1_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1234,plain,
    ( c1_1(a793)
    | ~ c3_1(a793)
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(resolution,[],[f233,f698]) ).

fof(f1224,plain,
    ( ~ spl0_148
    | spl0_125
    | ~ spl0_41
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1223,f696,f368,f802,f940]) ).

fof(f368,plain,
    ( spl0_41
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1223,plain,
    ( c1_1(a793)
    | ~ c0_1(a793)
    | ~ spl0_41
    | ~ spl0_105 ),
    inference(resolution,[],[f698,f369]) ).

fof(f369,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1222,plain,
    ( spl0_171
    | spl0_14
    | ~ spl0_47
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1217,f559,f395,f251,f1219]) ).

fof(f395,plain,
    ( spl0_47
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f559,plain,
    ( spl0_81
  <=> c1_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1217,plain,
    ( c3_1(a806)
    | c2_1(a806)
    | ~ spl0_47
    | ~ spl0_81 ),
    inference(resolution,[],[f561,f396]) ).

fof(f396,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f561,plain,
    ( c1_1(a806)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f1214,plain,
    ( spl0_106
    | ~ spl0_126
    | ~ spl0_16
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1213,f1127,f261,f807,f701]) ).

fof(f701,plain,
    ( spl0_106
  <=> c0_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f807,plain,
    ( spl0_126
  <=> c1_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f261,plain,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1127,plain,
    ( spl0_167
  <=> c3_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1213,plain,
    ( ~ c1_1(a833)
    | c0_1(a833)
    | ~ spl0_16
    | ~ spl0_167 ),
    inference(resolution,[],[f1129,f262]) ).

fof(f262,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f1129,plain,
    ( c3_1(a833)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1211,plain,
    ( spl0_137
    | spl0_169
    | ~ spl0_54
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1202,f879,f428,f1165,f874]) ).

fof(f428,plain,
    ( spl0_54
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f879,plain,
    ( spl0_138
  <=> c1_1(a865) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1202,plain,
    ( c0_1(a865)
    | c3_1(a865)
    | ~ spl0_54
    | ~ spl0_138 ),
    inference(resolution,[],[f429,f881]) ).

fof(f881,plain,
    ( c1_1(a865)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f1210,plain,
    ( spl0_166
    | spl0_90
    | ~ spl0_54
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1206,f458,f428,f608,f1122]) ).

fof(f1122,plain,
    ( spl0_166
  <=> c0_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f608,plain,
    ( spl0_90
  <=> c3_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f458,plain,
    ( spl0_61
  <=> c1_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1206,plain,
    ( c3_1(a805)
    | c0_1(a805)
    | ~ spl0_54
    | ~ spl0_61 ),
    inference(resolution,[],[f429,f460]) ).

fof(f460,plain,
    ( c1_1(a805)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f1187,plain,
    ( spl0_90
    | spl0_24
    | ~ spl0_47
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1176,f458,f395,f294,f608]) ).

fof(f294,plain,
    ( spl0_24
  <=> c2_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1176,plain,
    ( c2_1(a805)
    | c3_1(a805)
    | ~ spl0_47
    | ~ spl0_61 ),
    inference(resolution,[],[f396,f460]) ).

fof(f1186,plain,
    ( spl0_133
    | spl0_167
    | ~ spl0_47
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1174,f807,f395,f1127,f854]) ).

fof(f854,plain,
    ( spl0_133
  <=> c2_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1174,plain,
    ( c3_1(a833)
    | c2_1(a833)
    | ~ spl0_47
    | ~ spl0_126 ),
    inference(resolution,[],[f396,f809]) ).

fof(f809,plain,
    ( c1_1(a833)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f1185,plain,
    ( spl0_120
    | spl0_170
    | ~ spl0_47
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1175,f677,f395,f1182,f774]) ).

fof(f677,plain,
    ( spl0_102
  <=> c1_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1175,plain,
    ( c2_1(a814)
    | c3_1(a814)
    | ~ spl0_47
    | ~ spl0_102 ),
    inference(resolution,[],[f396,f679]) ).

fof(f679,plain,
    ( c1_1(a814)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f1180,plain,
    ( spl0_3
    | spl0_143
    | ~ spl0_47
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1179,f992,f395,f908,f207]) ).

fof(f908,plain,
    ( spl0_143
  <=> c2_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1179,plain,
    ( c2_1(a807)
    | c3_1(a807)
    | ~ spl0_47
    | ~ spl0_156 ),
    inference(resolution,[],[f396,f994]) ).

fof(f994,plain,
    ( c1_1(a807)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f1144,plain,
    ( ~ spl0_165
    | spl0_91
    | ~ spl0_40
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1136,f757,f365,f613,f1106]) ).

fof(f1106,plain,
    ( spl0_165
  <=> c0_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1136,plain,
    ( c2_1(a803)
    | ~ c0_1(a803)
    | ~ spl0_40
    | ~ spl0_117 ),
    inference(resolution,[],[f366,f759]) ).

fof(f759,plain,
    ( c1_1(a803)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f1138,plain,
    ( spl0_24
    | ~ spl0_166
    | ~ spl0_40
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1135,f458,f365,f1122,f294]) ).

fof(f1135,plain,
    ( ~ c0_1(a805)
    | c2_1(a805)
    | ~ spl0_40
    | ~ spl0_61 ),
    inference(resolution,[],[f366,f460]) ).

fof(f1109,plain,
    ( spl0_165
    | ~ spl0_117
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1104,f596,f261,f757,f1106]) ).

fof(f1104,plain,
    ( ~ c1_1(a803)
    | c0_1(a803)
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(resolution,[],[f598,f262]) ).

fof(f1103,plain,
    ( ~ spl0_130
    | ~ spl0_114
    | ~ spl0_35
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1098,f463,f342,f741,f835]) ).

fof(f1098,plain,
    ( ~ c1_1(a797)
    | ~ c3_1(a797)
    | ~ spl0_35
    | ~ spl0_62 ),
    inference(resolution,[],[f343,f465]) ).

fof(f1093,plain,
    ( spl0_83
    | spl0_134
    | ~ spl0_11
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1082,f564,f240,f859,f569]) ).

fof(f569,plain,
    ( spl0_83
  <=> c1_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f859,plain,
    ( spl0_134
  <=> c2_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f564,plain,
    ( spl0_82
  <=> c0_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1082,plain,
    ( c2_1(a816)
    | c1_1(a816)
    | ~ spl0_11
    | ~ spl0_82 ),
    inference(resolution,[],[f241,f566]) ).

fof(f566,plain,
    ( c0_1(a816)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1086,plain,
    ( spl0_151
    | spl0_155
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1081,f372,f240,f984,f958]) ).

fof(f1081,plain,
    ( c1_1(a838)
    | c2_1(a838)
    | ~ spl0_11
    | ~ spl0_42 ),
    inference(resolution,[],[f241,f374]) ).

fof(f374,plain,
    ( c0_1(a838)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1078,plain,
    ( spl0_163
    | ~ spl0_114
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1073,f835,f261,f741,f1075]) ).

fof(f1073,plain,
    ( ~ c1_1(a797)
    | c0_1(a797)
    | ~ spl0_16
    | ~ spl0_130 ),
    inference(resolution,[],[f837,f262]) ).

fof(f1072,plain,
    ( spl0_20
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1065,f324,f232,f278]) ).

fof(f324,plain,
    ( spl0_31
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1065,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1059]) ).

fof(f1059,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(resolution,[],[f233,f325]) ).

fof(f325,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f1071,plain,
    ( spl0_48
    | ~ spl0_162
    | ~ spl0_9
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1063,f481,f232,f1068,f399]) ).

fof(f399,plain,
    ( spl0_48
  <=> c1_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1063,plain,
    ( ~ c3_1(a802)
    | c1_1(a802)
    | ~ spl0_9
    | ~ spl0_66 ),
    inference(resolution,[],[f233,f483]) ).

fof(f1042,plain,
    ( spl0_123
    | ~ spl0_116
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1040,f509,f261,f751,f790]) ).

fof(f790,plain,
    ( spl0_123
  <=> c0_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f751,plain,
    ( spl0_116
  <=> c1_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f509,plain,
    ( spl0_72
  <=> c3_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1040,plain,
    ( ~ c1_1(a840)
    | c0_1(a840)
    | ~ spl0_16
    | ~ spl0_72 ),
    inference(resolution,[],[f511,f262]) ).

fof(f511,plain,
    ( c3_1(a840)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1039,plain,
    ( spl0_157
    | spl0_109
    | ~ spl0_31
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1037,f976,f324,f715,f1000]) ).

fof(f1000,plain,
    ( spl0_157
  <=> c1_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1037,plain,
    ( c0_1(a794)
    | c1_1(a794)
    | ~ spl0_31
    | spl0_154 ),
    inference(resolution,[],[f325,f978]) ).

fof(f978,plain,
    ( ~ c2_1(a794)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f1034,plain,
    ( ~ spl0_115
    | spl0_129
    | ~ spl0_30
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1026,f779,f321,f827,f746]) ).

fof(f746,plain,
    ( spl0_115
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f827,plain,
    ( spl0_129
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f779,plain,
    ( spl0_121
  <=> c2_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1026,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_30
    | ~ spl0_121 ),
    inference(resolution,[],[f322,f781]) ).

fof(f781,plain,
    ( c2_1(a798)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f1033,plain,
    ( ~ spl0_159
    | spl0_101
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1024,f486,f321,f671,f1030]) ).

fof(f1024,plain,
    ( c3_1(a832)
    | ~ c0_1(a832)
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(resolution,[],[f322,f488]) ).

fof(f1015,plain,
    ( spl0_96
    | spl0_101
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1011,f486,f281,f671,f642]) ).

fof(f642,plain,
    ( spl0_96
  <=> c1_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f281,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1011,plain,
    ( c3_1(a832)
    | c1_1(a832)
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(resolution,[],[f282,f488]) ).

fof(f282,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1008,plain,
    ( spl0_39
    | spl0_124
    | ~ spl0_20
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1004,f303,f278,f795,f360]) ).

fof(f360,plain,
    ( spl0_39
  <=> c1_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f795,plain,
    ( spl0_124
  <=> c0_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f303,plain,
    ( spl0_26
  <=> c3_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1004,plain,
    ( c0_1(a800)
    | c1_1(a800)
    | ~ spl0_20
    | ~ spl0_26 ),
    inference(resolution,[],[f279,f305]) ).

fof(f305,plain,
    ( c3_1(a800)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f1007,plain,
    ( spl0_157
    | spl0_109
    | ~ spl0_20
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1005,f312,f278,f715,f1000]) ).

fof(f1005,plain,
    ( c0_1(a794)
    | c1_1(a794)
    | ~ spl0_20
    | ~ spl0_28 ),
    inference(resolution,[],[f279,f314]) ).

fof(f1003,plain,
    ( ~ spl0_157
    | spl0_109
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f997,f312,f261,f715,f1000]) ).

fof(f997,plain,
    ( c0_1(a794)
    | ~ c1_1(a794)
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(resolution,[],[f262,f314]) ).

fof(f987,plain,
    ( ~ spl0_155
    | ~ spl0_42
    | ~ spl0_8
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f982,f533,f229,f372,f984]) ).

fof(f982,plain,
    ( ~ c0_1(a838)
    | ~ c1_1(a838)
    | ~ spl0_8
    | ~ spl0_77 ),
    inference(resolution,[],[f230,f535]) ).

fof(f979,plain,
    ( ~ spl0_154
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f130,f308,f976]) ).

fof(f308,plain,
    ( spl0_27
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f130,axiom,
    ( ~ hskp1
    | ~ c2_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f974,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_21
    | spl0_15 ),
    inference(avatar_split_clause,[],[f144,f256,f281,f317,f198]) ).

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

fof(f317,plain,
    ( spl0_29
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f256,plain,
    ( spl0_15
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp21
      | c1_1(X0)
      | hskp0
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f973,plain,
    ( ~ spl0_76
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f108,f970,f528]) ).

fof(f528,plain,
    ( spl0_76
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f108,axiom,
    ( ~ c0_1(a814)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f968,plain,
    ( ~ spl0_2
    | spl0_152 ),
    inference(avatar_split_clause,[],[f52,f965,f202]) ).

fof(f202,plain,
    ( spl0_2
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f52,axiom,
    ( c3_1(a869)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f963,plain,
    ( spl0_76
    | spl0_49
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f198,f428,f403,f528]) ).

fof(f403,plain,
    ( spl0_49
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | hskp6
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f962,plain,
    ( ~ spl0_27
    | spl0_1 ),
    inference(avatar_split_clause,[],[f30,f198,f308]) ).

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

fof(f961,plain,
    ( ~ spl0_15
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f93,f958,f256]) ).

fof(f93,axiom,
    ( ~ c2_1(a838)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f955,plain,
    ( ~ spl0_150
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f101,f491,f952]) ).

fof(f491,plain,
    ( spl0_68
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f101,axiom,
    ( ~ hskp17
    | ~ c2_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f950,plain,
    ( spl0_34
    | spl0_2
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f198,f435,f202,f338]) ).

fof(f338,plain,
    ( spl0_34
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | hskp26
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f943,plain,
    ( spl0_148
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f84,f317,f940]) ).

fof(f84,axiom,
    ( ~ hskp0
    | c0_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f937,plain,
    ( ~ spl0_18
    | spl0_147 ),
    inference(avatar_split_clause,[],[f49,f934,f269]) ).

fof(f269,plain,
    ( spl0_18
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f49,axiom,
    ( c2_1(a796)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f932,plain,
    ( ~ spl0_34
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f112,f929,f338]) ).

fof(f112,axiom,
    ( ~ c2_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f926,plain,
    ( spl0_52
    | spl0_13
    | ~ spl0_1
    | spl0_122 ),
    inference(avatar_split_clause,[],[f152,f785,f198,f247,f419]) ).

fof(f419,plain,
    ( spl0_52
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f247,plain,
    ( spl0_13
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f152,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | hskp9
      | hskp20
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f925,plain,
    ( spl0_13
    | spl0_55
    | ~ spl0_1
    | spl0_40 ),
    inference(avatar_split_clause,[],[f173,f365,f198,f431,f247]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f923,plain,
    ( spl0_58
    | spl0_60
    | spl0_7 ),
    inference(avatar_split_clause,[],[f32,f225,f453,f444]) ).

fof(f444,plain,
    ( spl0_58
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f453,plain,
    ( spl0_60
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f225,plain,
    ( spl0_7
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f32,axiom,
    ( hskp28
    | hskp30
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f917,plain,
    ( spl0_1
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f20,f338,f198]) ).

fof(f20,axiom,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f916,plain,
    ( spl0_144
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f50,f269,f913]) ).

fof(f50,axiom,
    ( ~ hskp27
    | c3_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f911,plain,
    ( ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f114,f908,f211]) ).

fof(f211,plain,
    ( spl0_4
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f114,axiom,
    ( ~ c2_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f906,plain,
    ( spl0_142
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f63,f491,f903]) ).

fof(f63,axiom,
    ( ~ hskp17
    | c0_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f901,plain,
    ( spl0_47
    | spl0_65
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f198,f428,f476,f395]) ).

fof(f476,plain,
    ( spl0_65
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X1)
      | hskp3
      | c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f900,plain,
    ( ~ spl0_141
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f120,f403,f897]) ).

fof(f120,axiom,
    ( ~ hskp6
    | ~ c0_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f888,plain,
    ( spl0_139
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f71,f338,f885]) ).

fof(f71,axiom,
    ( ~ hskp11
    | c3_1(a808) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f883,plain,
    ( ~ spl0_1
    | spl0_47
    | spl0_40
    | spl0_64 ),
    inference(avatar_split_clause,[],[f193,f472,f365,f395,f198]) ).

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

fof(f882,plain,
    ( ~ spl0_87
    | spl0_138 ),
    inference(avatar_split_clause,[],[f53,f879,f591]) ).

fof(f591,plain,
    ( spl0_87
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f53,axiom,
    ( c1_1(a865)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f877,plain,
    ( ~ spl0_137
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f87,f591,f874]) ).

fof(f87,axiom,
    ( ~ hskp25
    | ~ c3_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f868,plain,
    ( ~ spl0_1
    | spl0_20
    | spl0_89
    | spl0_35 ),
    inference(avatar_split_clause,[],[f175,f342,f600,f278,f198]) ).

fof(f600,plain,
    ( spl0_89
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | hskp7
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f862,plain,
    ( ~ spl0_69
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f107,f859,f496]) ).

fof(f496,plain,
    ( spl0_69
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f107,axiom,
    ( ~ c2_1(a816)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f857,plain,
    ( ~ spl0_52
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f95,f854,f419]) ).

fof(f95,axiom,
    ( ~ c2_1(a833)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f849,plain,
    ( ~ spl0_68
    | spl0_132 ),
    inference(avatar_split_clause,[],[f64,f846,f491]) ).

fof(f64,axiom,
    ( c1_1(a825)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f844,plain,
    ( ~ spl0_1
    | spl0_107
    | spl0_49
    | spl0_20 ),
    inference(avatar_split_clause,[],[f172,f278,f403,f706,f198]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp6
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f838,plain,
    ( ~ spl0_7
    | spl0_130 ),
    inference(avatar_split_clause,[],[f47,f835,f225]) ).

fof(f47,axiom,
    ( c3_1(a797)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f832,plain,
    ( spl0_7
    | spl0_122
    | spl0_40
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f198,f365,f785,f225]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | hskp28
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f830,plain,
    ( ~ spl0_65
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f125,f827,f476]) ).

fof(f125,axiom,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f820,plain,
    ( spl0_27
    | ~ spl0_1
    | spl0_87
    | spl0_8 ),
    inference(avatar_split_clause,[],[f157,f229,f591,f198,f308]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp25
      | ~ ndr1_0
      | hskp1
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f819,plain,
    ( ~ spl0_1
    | spl0_52
    | spl0_11
    | spl0_27 ),
    inference(avatar_split_clause,[],[f142,f308,f240,f419,f198]) ).

fof(f142,axiom,
    ! [X0] :
      ( hskp1
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | hskp20
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f817,plain,
    ( spl0_127
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f54,f591,f814]) ).

fof(f54,axiom,
    ( ~ hskp25
    | c2_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f810,plain,
    ( spl0_126
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f61,f419,f807]) ).

fof(f61,axiom,
    ( ~ hskp20
    | c1_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f805,plain,
    ( ~ spl0_29
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f131,f802,f317]) ).

fof(f131,axiom,
    ( ~ c1_1(a793)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f798,plain,
    ( ~ spl0_25
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f122,f795,f299]) ).

fof(f299,plain,
    ( spl0_25
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f122,axiom,
    ( ~ c0_1(a800)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f793,plain,
    ( ~ spl0_123
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f92,f513,f790]) ).

fof(f513,plain,
    ( spl0_73
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f92,axiom,
    ( ~ hskp22
    | ~ c0_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f788,plain,
    ( ~ spl0_1
    | spl0_18
    | spl0_110
    | spl0_7 ),
    inference(avatar_split_clause,[],[f133,f225,f722,f269,f198]) ).

fof(f133,axiom,
    ! [X0] :
      ( hskp28
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | hskp27
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f787,plain,
    ( spl0_30
    | spl0_122
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f198,f395,f785,f321]) ).

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

fof(f782,plain,
    ( spl0_121
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f82,f476,f779]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c2_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f777,plain,
    ( ~ spl0_120
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f109,f528,f774]) ).

fof(f109,axiom,
    ( ~ hskp13
    | ~ c3_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f772,plain,
    ( spl0_73
    | spl0_27
    | spl0_34 ),
    inference(avatar_split_clause,[],[f38,f338,f308,f513]) ).

fof(f38,axiom,
    ( hskp11
    | hskp1
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f771,plain,
    ( spl0_119
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f51,f202,f768]) ).

fof(f51,axiom,
    ( ~ hskp26
    | c2_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f765,plain,
    ( ~ spl0_118
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f113,f211,f762]) ).

fof(f113,axiom,
    ( ~ hskp10
    | ~ c0_1(a807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f760,plain,
    ( spl0_117
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f75,f600,f757]) ).

fof(f75,axiom,
    ( ~ hskp7
    | c1_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f754,plain,
    ( spl0_116
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f57,f513,f751]) ).

fof(f57,axiom,
    ( ~ hskp22
    | c1_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f749,plain,
    ( ~ spl0_65
    | spl0_115 ),
    inference(avatar_split_clause,[],[f81,f746,f476]) ).

fof(f81,axiom,
    ( c0_1(a798)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f744,plain,
    ( ~ spl0_7
    | spl0_114 ),
    inference(avatar_split_clause,[],[f45,f741,f225]) ).

fof(f45,axiom,
    ( c1_1(a797)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f739,plain,
    ( ~ spl0_18
    | spl0_113 ),
    inference(avatar_split_clause,[],[f48,f736,f269]) ).

fof(f48,axiom,
    ( c0_1(a796)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f720,plain,
    ( ~ spl0_1
    | spl0_76
    | spl0_70
    | spl0_64 ),
    inference(avatar_split_clause,[],[f178,f472,f500,f528,f198]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | hskp13
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f718,plain,
    ( ~ spl0_27
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f129,f715,f308]) ).

fof(f129,axiom,
    ( ~ c0_1(a794)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f704,plain,
    ( ~ spl0_106
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f94,f419,f701]) ).

fof(f94,axiom,
    ( ~ hskp20
    | ~ c0_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f699,plain,
    ( spl0_105
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f85,f317,f696]) ).

fof(f85,axiom,
    ( ~ hskp0
    | c2_1(a793) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f693,plain,
    ( spl0_60
    | spl0_52
    | ~ spl0_1
    | spl0_56 ),
    inference(avatar_split_clause,[],[f158,f435,f198,f419,f453]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp20
      | ~ c3_1(X0)
      | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f692,plain,
    ( ~ spl0_60
    | spl0_104 ),
    inference(avatar_split_clause,[],[f40,f689,f453]) ).

fof(f40,axiom,
    ( c1_1(a867)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f680,plain,
    ( ~ spl0_76
    | spl0_102 ),
    inference(avatar_split_clause,[],[f68,f677,f528]) ).

fof(f68,axiom,
    ( c1_1(a814)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f674,plain,
    ( ~ spl0_58
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f97,f671,f444]) ).

fof(f97,axiom,
    ( ~ c3_1(a832)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f650,plain,
    ( spl0_97
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f80,f274,f647]) ).

fof(f274,plain,
    ( spl0_19
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c3_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f645,plain,
    ( ~ spl0_96
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f96,f444,f642]) ).

fof(f96,axiom,
    ( ~ hskp19
    | ~ c1_1(a832) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f639,plain,
    ( spl0_95
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f41,f453,f636]) ).

fof(f41,axiom,
    ( ~ hskp30
    | c3_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f629,plain,
    ( spl0_17
    | spl0_20
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f198,f274,f278,f264]) ).

fof(f264,plain,
    ( spl0_17
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp4
      | c0_1(X0)
      | hskp8
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f628,plain,
    ( ~ spl0_1
    | spl0_58
    | spl0_18
    | spl0_35 ),
    inference(avatar_split_clause,[],[f161,f342,f269,f444,f198]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp27
      | hskp19
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f627,plain,
    ( spl0_93
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f69,f538,f624]) ).

fof(f538,plain,
    ( spl0_78
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f69,axiom,
    ( ~ hskp12
    | c1_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f622,plain,
    ( ~ spl0_2
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f86,f619,f202]) ).

fof(f86,axiom,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f617,plain,
    ( spl0_73
    | ~ spl0_1
    | spl0_69
    | spl0_8 ),
    inference(avatar_split_clause,[],[f156,f229,f496,f198,f513]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp14
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f616,plain,
    ( ~ spl0_89
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f119,f613,f600]) ).

fof(f119,axiom,
    ( ~ c2_1(a803)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f611,plain,
    ( ~ spl0_17
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f118,f608,f264]) ).

fof(f118,axiom,
    ( ~ c3_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f606,plain,
    ( ~ spl0_1
    | spl0_47
    | spl0_78
    | spl0_8 ),
    inference(avatar_split_clause,[],[f181,f229,f538,f395,f198]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | hskp12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f603,plain,
    ( spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f76,f600,f596]) ).

fof(f76,axiom,
    ( ~ hskp7
    | c3_1(a803) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f589,plain,
    ( spl0_86
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f72,f247,f586]) ).

fof(f72,axiom,
    ( ~ hskp9
    | c0_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f584,plain,
    ( spl0_85
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f39,f453,f581]) ).

fof(f39,axiom,
    ( ~ hskp30
    | c0_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f579,plain,
    ( ~ spl0_78
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f576,f538]) ).

fof(f110,axiom,
    ( ~ c0_1(a809)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f574,plain,
    ( ~ spl0_1
    | spl0_40
    | spl0_19
    | spl0_7 ),
    inference(avatar_split_clause,[],[f151,f225,f274,f365,f198]) ).

fof(f151,axiom,
    ! [X0] :
      ( hskp28
      | hskp4
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f572,plain,
    ( ~ spl0_83
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f106,f496,f569]) ).

fof(f106,axiom,
    ( ~ hskp14
    | ~ c1_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f567,plain,
    ( ~ spl0_69
    | spl0_82 ),
    inference(avatar_split_clause,[],[f67,f564,f496]) ).

fof(f67,axiom,
    ( c0_1(a816)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f562,plain,
    ( spl0_81
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f73,f247,f559]) ).

fof(f73,axiom,
    ( ~ hskp9
    | c1_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f557,plain,
    ( spl0_68
    | spl0_17
    | ~ spl0_1
    | spl0_47 ),
    inference(avatar_split_clause,[],[f145,f395,f198,f264,f491]) ).

fof(f145,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp8
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f556,plain,
    ( ~ spl0_78
    | spl0_80 ),
    inference(avatar_split_clause,[],[f70,f553,f538]) ).

fof(f70,axiom,
    ( c2_1(a809)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f551,plain,
    ( ~ spl0_34
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f111,f548,f338]) ).

fof(f111,axiom,
    ( ~ c1_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f545,plain,
    ( spl0_1
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f9,f513,f198]) ).

fof(f9,axiom,
    ( ~ hskp22
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f542,plain,
    ( spl0_17
    | spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f37,f211,f225,f264]) ).

fof(f37,axiom,
    ( hskp10
    | hskp28
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f536,plain,
    ( ~ spl0_15
    | spl0_77 ),
    inference(avatar_split_clause,[],[f60,f533,f256]) ).

fof(f60,axiom,
    ( c3_1(a838)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f517,plain,
    ( spl0_25
    | ~ spl0_1
    | spl0_8
    | spl0_30 ),
    inference(avatar_split_clause,[],[f184,f321,f229,f198,f299]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp5
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f516,plain,
    ( spl0_72
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f58,f513,f509]) ).

fof(f58,axiom,
    ( ~ hskp22
    | c3_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f494,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_68
    | spl0_16 ),
    inference(avatar_split_clause,[],[f148,f261,f491,f317,f198]) ).

fof(f148,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp17
      | hskp0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f489,plain,
    ( ~ spl0_58
    | spl0_67 ),
    inference(avatar_split_clause,[],[f62,f486,f444]) ).

fof(f62,axiom,
    ( c2_1(a832)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f484,plain,
    ( ~ spl0_49
    | spl0_66 ),
    inference(avatar_split_clause,[],[f77,f481,f403]) ).

fof(f77,axiom,
    ( c2_1(a802)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f474,plain,
    ( spl0_55
    | spl0_64
    | ~ spl0_1
    | spl0_30 ),
    inference(avatar_split_clause,[],[f190,f321,f198,f472,f431]) ).

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

fof(f466,plain,
    ( ~ spl0_7
    | spl0_62 ),
    inference(avatar_split_clause,[],[f46,f463,f225]) ).

fof(f46,axiom,
    ( c2_1(a797)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f461,plain,
    ( spl0_61
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f74,f264,f458]) ).

fof(f74,axiom,
    ( ~ hskp8
    | c1_1(a805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f451,plain,
    ( spl0_45
    | ~ spl0_1
    | spl0_35
    | spl0_59 ),
    inference(avatar_split_clause,[],[f176,f449,f342,f198,f385]) ).

fof(f385,plain,
    ( spl0_45
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f447,plain,
    ( spl0_58
    | ~ spl0_1
    | spl0_47
    | spl0_7 ),
    inference(avatar_split_clause,[],[f146,f225,f395,f198,f444]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp19
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f442,plain,
    ( ~ spl0_45
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f105,f439,f385]) ).

fof(f105,axiom,
    ( ~ c1_1(a817)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f437,plain,
    ( ~ spl0_1
    | spl0_56
    | spl0_9
    | spl0_54 ),
    inference(avatar_split_clause,[],[f195,f428,f232,f435,f198]) ).

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

fof(f417,plain,
    ( ~ spl0_45
    | spl0_51 ),
    inference(avatar_split_clause,[],[f65,f414,f385]) ).

fof(f65,axiom,
    ( c2_1(a817)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f411,plain,
    ( ~ spl0_50
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f124,f274,f408]) ).

fof(f124,axiom,
    ( ~ hskp4
    | ~ c1_1(a799) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f406,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f121,f403,f399]) ).

fof(f121,axiom,
    ( ~ hskp6
    | ~ c1_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f388,plain,
    ( spl0_44
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f66,f385,f381]) ).

fof(f66,axiom,
    ( ~ hskp15
    | c3_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f375,plain,
    ( spl0_42
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f59,f256,f372]) ).

fof(f59,axiom,
    ( ~ hskp21
    | c0_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f370,plain,
    ( ~ spl0_1
    | spl0_20
    | spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f189,f368,f365,f278,f198]) ).

fof(f189,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c2_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f363,plain,
    ( ~ spl0_25
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f123,f360,f299]) ).

fof(f123,axiom,
    ( ~ c1_1(a800)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f353,plain,
    ( ~ spl0_19
    | spl0_37 ),
    inference(avatar_split_clause,[],[f79,f350,f274]) ).

fof(f79,axiom,
    ( c0_1(a799)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f344,plain,
    ( spl0_34
    | spl0_15
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f198,f342,f256,f338]) ).

fof(f162,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp21
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f326,plain,
    ( spl0_29
    | ~ spl0_1
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f164,f324,f321,f198,f317]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp0
      | ~ c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f315,plain,
    ( ~ spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f83,f312,f308]) ).

fof(f83,axiom,
    ( c3_1(a794)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f306,plain,
    ( ~ spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f78,f303,f299]) ).

fof(f78,axiom,
    ( c3_1(a800)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f297,plain,
    ( ~ spl0_17
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f117,f294,f264]) ).

fof(f117,axiom,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f272,plain,
    ( spl0_18
    | spl0_7
    | spl0_15 ),
    inference(avatar_split_clause,[],[f34,f256,f225,f269]) ).

fof(f34,axiom,
    ( hskp21
    | hskp28
    | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f267,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f179,f264,f261,f232,f198]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( hskp8
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f254,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f116,f251,f247]) ).

fof(f116,axiom,
    ( ~ c3_1(a806)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f234,plain,
    ( spl0_7
    | ~ spl0_1
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f183,f232,f229,f198,f225]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp28
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f214,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f115,f211,f207]) ).

fof(f115,axiom,
    ( ~ hskp10
    | ~ c3_1(a807) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN473-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33  % Computer : n021.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Aug 30 21:53:56 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.20/0.46  % (23679)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)
% 0.20/0.47  % (23666)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.47  % (23674)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.48  % (23666)Instruction limit reached!
% 0.20/0.48  % (23666)------------------------------
% 0.20/0.48  % (23666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (23666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (23666)Termination reason: Unknown
% 0.20/0.48  % (23666)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (23666)Memory used [KB]: 6012
% 0.20/0.48  % (23666)Time elapsed: 0.005 s
% 0.20/0.48  % (23666)Instructions burned: 3 (million)
% 0.20/0.48  % (23666)------------------------------
% 0.20/0.48  % (23666)------------------------------
% 0.20/0.50  % (23674)First to succeed.
% 0.20/0.50  % (23665)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.50  % (23674)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (23674)------------------------------
% 0.20/0.51  % (23674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23674)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (23674)Memory used [KB]: 7036
% 0.20/0.51  % (23674)Time elapsed: 0.100 s
% 0.20/0.51  % (23674)Instructions burned: 32 (million)
% 0.20/0.51  % (23674)------------------------------
% 0.20/0.51  % (23674)------------------------------
% 0.20/0.51  % (23652)Success in time 0.162 s
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