TSTP Solution File: SYN511-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN511-1 : 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_sat --cores 0 -t %d %s

% Computer : n015.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 19:38:40 EDT 2022

% Result   : Unsatisfiable 1.94s 0.62s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  267
% Syntax   : Number of formulae    :  609 (   1 unt;   0 def)
%            Number of atoms       : 1973 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2360 ( 996   ~;1221   |;   0   &)
%                                         ( 143 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  174 ( 173 usr; 170 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  139 ( 139   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2373,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f243,f252,f261,f271,f280,f284,f298,f302,f309,f320,f327,f345,f352,f365,f366,f375,f384,f390,f408,f422,f426,f430,f435,f441,f446,f454,f459,f463,f476,f481,f486,f492,f497,f520,f526,f538,f548,f553,f581,f590,f594,f599,f605,f606,f615,f620,f627,f632,f638,f647,f652,f653,f658,f668,f670,f675,f688,f693,f695,f696,f702,f708,f709,f724,f729,f730,f733,f739,f740,f745,f755,f761,f766,f771,f777,f784,f785,f791,f796,f797,f798,f808,f813,f819,f825,f830,f831,f832,f837,f842,f847,f852,f855,f857,f858,f859,f866,f867,f868,f873,f884,f885,f886,f891,f892,f898,f903,f913,f918,f924,f930,f935,f945,f946,f951,f956,f963,f969,f980,f986,f992,f994,f1004,f1011,f1018,f1023,f1029,f1036,f1037,f1042,f1043,f1053,f1054,f1074,f1079,f1087,f1113,f1114,f1119,f1131,f1153,f1179,f1205,f1226,f1238,f1259,f1264,f1331,f1357,f1358,f1359,f1382,f1383,f1389,f1393,f1402,f1416,f1417,f1422,f1469,f1555,f1582,f1598,f1599,f1621,f1622,f1624,f1678,f1702,f1743,f1745,f1827,f1834,f1893,f1976,f1977,f1979,f2054,f2055,f2061,f2062,f2123,f2159,f2162,f2189,f2209,f2211,f2247,f2279,f2280,f2282,f2321,f2322,f2349,f2371,f2372]) ).

fof(f2372,plain,
    ( spl0_183
    | ~ spl0_151
    | ~ spl0_124
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2359,f895,f805,f966,f1413]) ).

fof(f1413,plain,
    ( spl0_183
  <=> c3_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f966,plain,
    ( spl0_151
  <=> c0_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f805,plain,
    ( spl0_124
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f895,plain,
    ( spl0_138
  <=> c2_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2359,plain,
    ( ~ c0_1(a676)
    | c3_1(a676)
    | ~ spl0_124
    | ~ spl0_138 ),
    inference(resolution,[],[f806,f897]) ).

fof(f897,plain,
    ( c2_1(a676)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f806,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f2371,plain,
    ( ~ spl0_65
    | spl0_21
    | ~ spl0_124
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2364,f839,f805,f291,f483]) ).

fof(f483,plain,
    ( spl0_65
  <=> c0_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f291,plain,
    ( spl0_21
  <=> c3_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f839,plain,
    ( spl0_130
  <=> c2_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2364,plain,
    ( c3_1(a696)
    | ~ c0_1(a696)
    | ~ spl0_124
    | ~ spl0_130 ),
    inference(resolution,[],[f806,f841]) ).

fof(f841,plain,
    ( c2_1(a696)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f2349,plain,
    ( spl0_78
    | spl0_116
    | ~ spl0_59
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2338,f782,f456,f763,f550]) ).

fof(f550,plain,
    ( spl0_78
  <=> c2_1(a668) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f763,plain,
    ( spl0_116
  <=> c3_1(a668) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f456,plain,
    ( spl0_59
  <=> c1_1(a668) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f782,plain,
    ( spl0_120
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2338,plain,
    ( c3_1(a668)
    | c2_1(a668)
    | ~ spl0_59
    | ~ spl0_120 ),
    inference(resolution,[],[f783,f458]) ).

fof(f458,plain,
    ( c1_1(a668)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f783,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f2322,plain,
    ( spl0_88
    | spl0_174
    | ~ spl0_119
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2317,f921,f779,f1256,f596]) ).

fof(f596,plain,
    ( spl0_88
  <=> c3_1(a680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1256,plain,
    ( spl0_174
  <=> c0_1(a680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f779,plain,
    ( spl0_119
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f921,plain,
    ( spl0_143
  <=> c2_1(a680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2317,plain,
    ( c0_1(a680)
    | c3_1(a680)
    | ~ spl0_119
    | ~ spl0_143 ),
    inference(resolution,[],[f780,f923]) ).

fof(f923,plain,
    ( c2_1(a680)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f780,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f2321,plain,
    ( spl0_93
    | spl0_38
    | ~ spl0_44
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2314,f779,f387,f358,f629]) ).

fof(f629,plain,
    ( spl0_93
  <=> c0_1(a700) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f358,plain,
    ( spl0_38
  <=> c3_1(a700) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f387,plain,
    ( spl0_44
  <=> c2_1(a700) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2314,plain,
    ( c3_1(a700)
    | c0_1(a700)
    | ~ spl0_44
    | ~ spl0_119 ),
    inference(resolution,[],[f780,f389]) ).

fof(f389,plain,
    ( c2_1(a700)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f2282,plain,
    ( spl0_12
    | spl0_160
    | ~ spl0_67
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2261,f672,f494,f1025,f254]) ).

fof(f254,plain,
    ( spl0_12
  <=> c0_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1025,plain,
    ( spl0_160
  <=> c3_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f494,plain,
    ( spl0_67
  <=> c1_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f672,plain,
    ( spl0_101
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2261,plain,
    ( c3_1(a710)
    | c0_1(a710)
    | ~ spl0_67
    | ~ spl0_101 ),
    inference(resolution,[],[f673,f496]) ).

fof(f496,plain,
    ( c1_1(a710)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f673,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f2280,plain,
    ( spl0_182
    | spl0_56
    | ~ spl0_23
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1928,f419,f300,f443,f1399]) ).

fof(f1399,plain,
    ( spl0_182
  <=> c1_1(a683) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f443,plain,
    ( spl0_56
  <=> c2_1(a683) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f300,plain,
    ( spl0_23
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f419,plain,
    ( spl0_51
  <=> c0_1(a683) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1928,plain,
    ( c2_1(a683)
    | c1_1(a683)
    | ~ spl0_23
    | ~ spl0_51 ),
    inference(resolution,[],[f301,f421]) ).

fof(f421,plain,
    ( c0_1(a683)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f301,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f2279,plain,
    ( spl0_144
    | ~ spl0_109
    | ~ spl0_52
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2007,f705,f424,f721,f927]) ).

fof(f927,plain,
    ( spl0_144
  <=> c1_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f721,plain,
    ( spl0_109
  <=> c0_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f424,plain,
    ( spl0_52
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f705,plain,
    ( spl0_106
  <=> c2_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2007,plain,
    ( ~ c0_1(a730)
    | c1_1(a730)
    | ~ spl0_52
    | ~ spl0_106 ),
    inference(resolution,[],[f425,f707]) ).

fof(f707,plain,
    ( c2_1(a730)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f425,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f2247,plain,
    ( ~ spl0_162
    | spl0_78
    | ~ spl0_59
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2237,f640,f456,f550,f1050]) ).

fof(f1050,plain,
    ( spl0_162
  <=> c0_1(a668) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f640,plain,
    ( spl0_95
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2237,plain,
    ( c2_1(a668)
    | ~ c0_1(a668)
    | ~ spl0_59
    | ~ spl0_95 ),
    inference(resolution,[],[f641,f458]) ).

fof(f641,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f2211,plain,
    ( spl0_128
    | spl0_104
    | ~ spl0_87
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2206,f910,f592,f690,f827]) ).

fof(f827,plain,
    ( spl0_128
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f690,plain,
    ( spl0_104
  <=> c0_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f592,plain,
    ( spl0_87
  <=> ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f910,plain,
    ( spl0_141
  <=> c1_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2206,plain,
    ( c0_1(a672)
    | c2_1(a672)
    | ~ spl0_87
    | spl0_141 ),
    inference(resolution,[],[f593,f912]) ).

fof(f912,plain,
    ( ~ c1_1(a672)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f593,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f2209,plain,
    ( spl0_122
    | spl0_148
    | ~ spl0_87
    | spl0_187 ),
    inference(avatar_split_clause,[],[f2205,f1652,f592,f948,f793]) ).

fof(f793,plain,
    ( spl0_122
  <=> c2_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f948,plain,
    ( spl0_148
  <=> c0_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1652,plain,
    ( spl0_187
  <=> c1_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f2205,plain,
    ( c0_1(a673)
    | c2_1(a673)
    | ~ spl0_87
    | spl0_187 ),
    inference(resolution,[],[f593,f1653]) ).

fof(f1653,plain,
    ( ~ c1_1(a673)
    | spl0_187 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f2189,plain,
    ( spl0_122
    | spl0_148
    | ~ spl0_16
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f2092,f1652,f269,f948,f793]) ).

fof(f269,plain,
    ( spl0_16
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2092,plain,
    ( c0_1(a673)
    | c2_1(a673)
    | ~ spl0_16
    | ~ spl0_187 ),
    inference(resolution,[],[f270,f1654]) ).

fof(f1654,plain,
    ( c1_1(a673)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f270,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f2162,plain,
    ( spl0_160
    | ~ spl0_115
    | ~ spl0_67
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2143,f512,f494,f758,f1025]) ).

fof(f758,plain,
    ( spl0_115
  <=> c2_1(a710) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f512,plain,
    ( spl0_71
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2143,plain,
    ( ~ c2_1(a710)
    | c3_1(a710)
    | ~ spl0_67
    | ~ spl0_71 ),
    inference(resolution,[],[f513,f496]) ).

fof(f513,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f2159,plain,
    ( spl0_21
    | ~ spl0_130
    | ~ spl0_71
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2148,f1386,f512,f839,f291]) ).

fof(f1386,plain,
    ( spl0_181
  <=> c1_1(a696) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f2148,plain,
    ( ~ c2_1(a696)
    | c3_1(a696)
    | ~ spl0_71
    | ~ spl0_181 ),
    inference(resolution,[],[f513,f1388]) ).

fof(f1388,plain,
    ( c1_1(a696)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f2123,plain,
    ( ~ spl0_65
    | ~ spl0_130
    | ~ spl0_58
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f2109,f1386,f452,f839,f483]) ).

fof(f452,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2109,plain,
    ( ~ c2_1(a696)
    | ~ c0_1(a696)
    | ~ spl0_58
    | ~ spl0_181 ),
    inference(resolution,[],[f453,f1388]) ).

fof(f453,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f2062,plain,
    ( ~ spl0_174
    | spl0_89
    | ~ spl0_52
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2012,f921,f424,f602,f1256]) ).

fof(f602,plain,
    ( spl0_89
  <=> c1_1(a680) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2012,plain,
    ( c1_1(a680)
    | ~ c0_1(a680)
    | ~ spl0_52
    | ~ spl0_143 ),
    inference(resolution,[],[f425,f923]) ).

fof(f2061,plain,
    ( spl0_98
    | spl0_158
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2060,f685,f350,f1008,f655]) ).

fof(f655,plain,
    ( spl0_98
  <=> c0_1(a681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1008,plain,
    ( spl0_158
  <=> c1_1(a681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f350,plain,
    ( spl0_36
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f685,plain,
    ( spl0_103
  <=> c2_1(a681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2060,plain,
    ( c1_1(a681)
    | c0_1(a681)
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(resolution,[],[f687,f351]) ).

fof(f351,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f687,plain,
    ( c2_1(a681)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f2055,plain,
    ( spl0_185
    | spl0_137
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2051,f900,f318,f888,f1510]) ).

fof(f1510,plain,
    ( spl0_185
  <=> c2_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f888,plain,
    ( spl0_137
  <=> c1_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f318,plain,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f900,plain,
    ( spl0_139
  <=> c3_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2051,plain,
    ( c1_1(a674)
    | c2_1(a674)
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(resolution,[],[f902,f319]) ).

fof(f319,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f902,plain,
    ( c3_1(a674)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f2054,plain,
    ( ~ spl0_100
    | spl0_137
    | ~ spl0_52
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f2052,f1510,f424,f888,f665]) ).

fof(f665,plain,
    ( spl0_100
  <=> c0_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2052,plain,
    ( c1_1(a674)
    | ~ c0_1(a674)
    | ~ spl0_52
    | ~ spl0_185 ),
    inference(resolution,[],[f1512,f425]) ).

fof(f1512,plain,
    ( c2_1(a674)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1979,plain,
    ( ~ spl0_117
    | spl0_56
    | ~ spl0_35
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1968,f1399,f347,f443,f768]) ).

fof(f768,plain,
    ( spl0_117
  <=> c3_1(a683) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f347,plain,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1968,plain,
    ( c2_1(a683)
    | ~ c3_1(a683)
    | ~ spl0_35
    | ~ spl0_182 ),
    inference(resolution,[],[f348,f1401]) ).

fof(f1401,plain,
    ( c1_1(a683)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1399]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1977,plain,
    ( ~ spl0_42
    | spl0_136
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1970,f844,f347,f881,f377]) ).

fof(f377,plain,
    ( spl0_42
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f881,plain,
    ( spl0_136
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f844,plain,
    ( spl0_131
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1970,plain,
    ( c2_1(a675)
    | ~ c3_1(a675)
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(resolution,[],[f348,f846]) ).

fof(f846,plain,
    ( c1_1(a675)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1976,plain,
    ( spl0_180
    | ~ spl0_77
    | ~ spl0_35
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1955,f774,f347,f545,f1354]) ).

fof(f1354,plain,
    ( spl0_180
  <=> c2_1(a678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f545,plain,
    ( spl0_77
  <=> c3_1(a678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f774,plain,
    ( spl0_118
  <=> c1_1(a678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1955,plain,
    ( ~ c3_1(a678)
    | c2_1(a678)
    | ~ spl0_35
    | ~ spl0_118 ),
    inference(resolution,[],[f348,f776]) ).

fof(f776,plain,
    ( c1_1(a678)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f1893,plain,
    ( ~ spl0_44
    | spl0_93
    | ~ spl0_30
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1882,f1261,f325,f629,f387]) ).

fof(f325,plain,
    ( spl0_30
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1261,plain,
    ( spl0_175
  <=> c1_1(a700) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1882,plain,
    ( c0_1(a700)
    | ~ c2_1(a700)
    | ~ spl0_30
    | ~ spl0_175 ),
    inference(resolution,[],[f326,f1263]) ).

fof(f1263,plain,
    ( c1_1(a700)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f326,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f1834,plain,
    ( ~ spl0_115
    | ~ spl0_160
    | ~ spl0_14
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1789,f494,f263,f1025,f758]) ).

fof(f263,plain,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1789,plain,
    ( ~ c3_1(a710)
    | ~ c2_1(a710)
    | ~ spl0_14
    | ~ spl0_67 ),
    inference(resolution,[],[f496,f264]) ).

fof(f264,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f1827,plain,
    ( ~ spl0_73
    | ~ spl0_77
    | ~ spl0_26
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1807,f774,f311,f545,f523]) ).

fof(f523,plain,
    ( spl0_73
  <=> c0_1(a678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f311,plain,
    ( spl0_26
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1807,plain,
    ( ~ c3_1(a678)
    | ~ c0_1(a678)
    | ~ spl0_26
    | ~ spl0_118 ),
    inference(resolution,[],[f312,f776]) ).

fof(f312,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f1745,plain,
    ( spl0_56
    | ~ spl0_51
    | ~ spl0_19
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1738,f768,f282,f419,f443]) ).

fof(f282,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1738,plain,
    ( ~ c0_1(a683)
    | c2_1(a683)
    | ~ spl0_19
    | ~ spl0_117 ),
    inference(resolution,[],[f283,f770]) ).

fof(f770,plain,
    ( c3_1(a683)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f1743,plain,
    ( spl0_180
    | ~ spl0_73
    | ~ spl0_19
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1732,f545,f282,f523,f1354]) ).

fof(f1732,plain,
    ( ~ c0_1(a678)
    | c2_1(a678)
    | ~ spl0_19
    | ~ spl0_77 ),
    inference(resolution,[],[f283,f547]) ).

fof(f547,plain,
    ( c3_1(a678)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1702,plain,
    ( spl0_21
    | ~ spl0_65
    | ~ spl0_24
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1701,f1386,f304,f483,f291]) ).

fof(f304,plain,
    ( spl0_24
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1701,plain,
    ( ~ c0_1(a696)
    | c3_1(a696)
    | ~ spl0_24
    | ~ spl0_181 ),
    inference(resolution,[],[f1388,f305]) ).

fof(f305,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f1678,plain,
    ( spl0_132
    | spl0_161
    | ~ spl0_36
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1546,f517,f350,f1033,f849]) ).

fof(f849,plain,
    ( spl0_132
  <=> c1_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1033,plain,
    ( spl0_161
  <=> c0_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f517,plain,
    ( spl0_72
  <=> c2_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1546,plain,
    ( c0_1(a702)
    | c1_1(a702)
    | ~ spl0_36
    | ~ spl0_72 ),
    inference(resolution,[],[f351,f519]) ).

fof(f519,plain,
    ( c2_1(a702)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1624,plain,
    ( spl0_125
    | spl0_114
    | ~ spl0_63
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1605,f1076,f474,f752,f810]) ).

fof(f810,plain,
    ( spl0_125
  <=> c1_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f752,plain,
    ( spl0_114
  <=> c3_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f474,plain,
    ( spl0_63
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1076,plain,
    ( spl0_164
  <=> c2_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1605,plain,
    ( c3_1(a731)
    | c1_1(a731)
    | ~ spl0_63
    | ~ spl0_164 ),
    inference(resolution,[],[f475,f1078]) ).

fof(f1078,plain,
    ( c2_1(a731)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f475,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1622,plain,
    ( spl0_89
    | spl0_88
    | ~ spl0_63
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1614,f921,f474,f596,f602]) ).

fof(f1614,plain,
    ( c3_1(a680)
    | c1_1(a680)
    | ~ spl0_63
    | ~ spl0_143 ),
    inference(resolution,[],[f475,f923]) ).

fof(f1621,plain,
    ( spl0_21
    | spl0_181
    | ~ spl0_63
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1612,f839,f474,f1386,f291]) ).

fof(f1612,plain,
    ( c1_1(a696)
    | c3_1(a696)
    | ~ spl0_63
    | ~ spl0_130 ),
    inference(resolution,[],[f475,f841]) ).

fof(f1599,plain,
    ( ~ spl0_109
    | ~ spl0_106
    | ~ spl0_60
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1587,f1116,f461,f705,f721]) ).

fof(f461,plain,
    ( spl0_60
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1116,plain,
    ( spl0_168
  <=> c3_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1587,plain,
    ( ~ c2_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_60
    | ~ spl0_168 ),
    inference(resolution,[],[f462,f1118]) ).

fof(f1118,plain,
    ( c3_1(a730)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f462,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f1598,plain,
    ( ~ spl0_72
    | ~ spl0_161
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1592,f989,f461,f1033,f517]) ).

fof(f989,plain,
    ( spl0_155
  <=> c3_1(a702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1592,plain,
    ( ~ c0_1(a702)
    | ~ c2_1(a702)
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(resolution,[],[f462,f991]) ).

fof(f991,plain,
    ( c3_1(a702)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f1582,plain,
    ( spl0_122
    | spl0_148
    | ~ spl0_53
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1579,f478,f428,f948,f793]) ).

fof(f428,plain,
    ( spl0_53
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f478,plain,
    ( spl0_64
  <=> c3_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1579,plain,
    ( c0_1(a673)
    | c2_1(a673)
    | ~ spl0_53
    | spl0_64 ),
    inference(resolution,[],[f429,f480]) ).

fof(f480,plain,
    ( ~ c3_1(a673)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f429,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f1555,plain,
    ( spl0_157
    | spl0_147
    | ~ spl0_36
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1553,f1096,f350,f942,f1001]) ).

fof(f1001,plain,
    ( spl0_157
  <=> c0_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f942,plain,
    ( spl0_147
  <=> c1_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1096,plain,
    ( spl0_166
  <=> c2_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1553,plain,
    ( c1_1(a670)
    | c0_1(a670)
    | ~ spl0_36
    | ~ spl0_166 ),
    inference(resolution,[],[f351,f1097]) ).

fof(f1097,plain,
    ( c2_1(a670)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1096]) ).

fof(f1469,plain,
    ( spl0_34
    | ~ spl0_142
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1460,f266,f249,f915,f342]) ).

fof(f342,plain,
    ( spl0_34
  <=> c0_1(a679) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f915,plain,
    ( spl0_142
  <=> c3_1(a679) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f249,plain,
    ( spl0_11
  <=> c1_1(a679) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f266,plain,
    ( spl0_15
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1460,plain,
    ( ~ c3_1(a679)
    | c0_1(a679)
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(resolution,[],[f267,f251]) ).

fof(f251,plain,
    ( c1_1(a679)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f267,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f1422,plain,
    ( spl0_133
    | ~ spl0_129
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1421,f304,f277,f834,f863]) ).

fof(f863,plain,
    ( spl0_133
  <=> c3_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f834,plain,
    ( spl0_129
  <=> c0_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f277,plain,
    ( spl0_18
  <=> c1_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1421,plain,
    ( ~ c0_1(a688)
    | c3_1(a688)
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(resolution,[],[f279,f305]) ).

fof(f279,plain,
    ( c1_1(a688)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f1417,plain,
    ( ~ spl0_183
    | ~ spl0_138
    | ~ spl0_14
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1409,f977,f263,f895,f1413]) ).

fof(f977,plain,
    ( spl0_153
  <=> c1_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1409,plain,
    ( ~ c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_14
    | ~ spl0_153 ),
    inference(resolution,[],[f979,f264]) ).

fof(f979,plain,
    ( c1_1(a676)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f1416,plain,
    ( ~ spl0_151
    | spl0_183
    | ~ spl0_24
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1411,f977,f304,f1413,f966]) ).

fof(f1411,plain,
    ( c3_1(a676)
    | ~ c0_1(a676)
    | ~ spl0_24
    | ~ spl0_153 ),
    inference(resolution,[],[f979,f305]) ).

fof(f1402,plain,
    ( spl0_56
    | spl0_182
    | ~ spl0_28
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1397,f768,f318,f1399,f443]) ).

fof(f1397,plain,
    ( c1_1(a683)
    | c2_1(a683)
    | ~ spl0_28
    | ~ spl0_117 ),
    inference(resolution,[],[f770,f319]) ).

fof(f1393,plain,
    ( spl0_97
    | spl0_150
    | ~ spl0_36
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1392,f368,f350,f960,f649]) ).

fof(f649,plain,
    ( spl0_97
  <=> c1_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f960,plain,
    ( spl0_150
  <=> c0_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f368,plain,
    ( spl0_40
  <=> c2_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1392,plain,
    ( c0_1(a671)
    | c1_1(a671)
    | ~ spl0_36
    | ~ spl0_40 ),
    inference(resolution,[],[f370,f351]) ).

fof(f370,plain,
    ( c2_1(a671)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1389,plain,
    ( ~ spl0_65
    | spl0_181
    | ~ spl0_52
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1374,f839,f424,f1386,f483]) ).

fof(f1374,plain,
    ( c1_1(a696)
    | ~ c0_1(a696)
    | ~ spl0_52
    | ~ spl0_130 ),
    inference(resolution,[],[f425,f841]) ).

fof(f1383,plain,
    ( spl0_132
    | ~ spl0_161
    | ~ spl0_52
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1372,f517,f424,f1033,f849]) ).

fof(f1372,plain,
    ( ~ c0_1(a702)
    | c1_1(a702)
    | ~ spl0_52
    | ~ spl0_72 ),
    inference(resolution,[],[f425,f519]) ).

fof(f1382,plain,
    ( ~ spl0_47
    | spl0_159
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1364,f635,f424,f1015,f401]) ).

fof(f401,plain,
    ( spl0_47
  <=> c0_1(a753) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1015,plain,
    ( spl0_159
  <=> c1_1(a753) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f635,plain,
    ( spl0_94
  <=> c2_1(a753) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1364,plain,
    ( c1_1(a753)
    | ~ c0_1(a753)
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(resolution,[],[f425,f637]) ).

fof(f637,plain,
    ( c2_1(a753)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1359,plain,
    ( ~ spl0_145
    | ~ spl0_110
    | ~ spl0_14
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1342,f822,f263,f726,f932]) ).

fof(f932,plain,
    ( spl0_145
  <=> c3_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f726,plain,
    ( spl0_110
  <=> c2_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f822,plain,
    ( spl0_127
  <=> c1_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1342,plain,
    ( ~ c2_1(a725)
    | ~ c3_1(a725)
    | ~ spl0_14
    | ~ spl0_127 ),
    inference(resolution,[],[f264,f824]) ).

fof(f824,plain,
    ( c1_1(a725)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f1358,plain,
    ( ~ spl0_142
    | ~ spl0_171
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1350,f263,f249,f1176,f915]) ).

fof(f1176,plain,
    ( spl0_171
  <=> c2_1(a679) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1350,plain,
    ( ~ c2_1(a679)
    | ~ c3_1(a679)
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(resolution,[],[f264,f251]) ).

fof(f1357,plain,
    ( ~ spl0_77
    | ~ spl0_180
    | ~ spl0_14
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1343,f774,f263,f1354,f545]) ).

fof(f1343,plain,
    ( ~ c2_1(a678)
    | ~ c3_1(a678)
    | ~ spl0_14
    | ~ spl0_118 ),
    inference(resolution,[],[f264,f776]) ).

fof(f1331,plain,
    ( spl0_6
    | spl0_75
    | ~ spl0_28
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1330,f1110,f318,f535,f229]) ).

fof(f229,plain,
    ( spl0_6
  <=> c1_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f535,plain,
    ( spl0_75
  <=> c2_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1110,plain,
    ( spl0_167
  <=> c3_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1330,plain,
    ( c2_1(a669)
    | c1_1(a669)
    | ~ spl0_28
    | ~ spl0_167 ),
    inference(resolution,[],[f1112,f319]) ).

fof(f1112,plain,
    ( c3_1(a669)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f1264,plain,
    ( spl0_93
    | spl0_175
    | ~ spl0_36
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1249,f387,f350,f1261,f629]) ).

fof(f1249,plain,
    ( c1_1(a700)
    | c0_1(a700)
    | ~ spl0_36
    | ~ spl0_44 ),
    inference(resolution,[],[f351,f389]) ).

fof(f1259,plain,
    ( spl0_174
    | spl0_89
    | ~ spl0_36
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1253,f921,f350,f602,f1256]) ).

fof(f1253,plain,
    ( c1_1(a680)
    | c0_1(a680)
    | ~ spl0_36
    | ~ spl0_143 ),
    inference(resolution,[],[f351,f923]) ).

fof(f1238,plain,
    ( spl0_98
    | ~ spl0_103
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1202,f742,f322,f685,f655]) ).

fof(f322,plain,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f742,plain,
    ( spl0_112
  <=> c3_1(a681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1202,plain,
    ( ~ c2_1(a681)
    | c0_1(a681)
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(resolution,[],[f323,f744]) ).

fof(f744,plain,
    ( c3_1(a681)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f323,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f1226,plain,
    ( ~ spl0_115
    | spl0_12
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1222,f494,f325,f254,f758]) ).

fof(f1222,plain,
    ( c0_1(a710)
    | ~ c2_1(a710)
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(resolution,[],[f326,f496]) ).

fof(f1205,plain,
    ( spl0_34
    | ~ spl0_171
    | ~ spl0_29
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1203,f915,f322,f1176,f342]) ).

fof(f1203,plain,
    ( ~ c2_1(a679)
    | c0_1(a679)
    | ~ spl0_29
    | ~ spl0_142 ),
    inference(resolution,[],[f323,f917]) ).

fof(f917,plain,
    ( c3_1(a679)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f1179,plain,
    ( spl0_34
    | spl0_171
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1171,f269,f249,f1176,f342]) ).

fof(f1171,plain,
    ( c2_1(a679)
    | c0_1(a679)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(resolution,[],[f270,f251]) ).

fof(f1153,plain,
    ( spl0_147
    | spl0_166
    | ~ spl0_28
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1147,f583,f318,f1096,f942]) ).

fof(f583,plain,
    ( spl0_85
  <=> c3_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1147,plain,
    ( c2_1(a670)
    | c1_1(a670)
    | ~ spl0_28
    | ~ spl0_85 ),
    inference(resolution,[],[f319,f585]) ).

fof(f585,plain,
    ( c3_1(a670)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1131,plain,
    ( ~ spl0_162
    | spl0_116
    | ~ spl0_24
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1125,f456,f304,f763,f1050]) ).

fof(f1125,plain,
    ( c3_1(a668)
    | ~ c0_1(a668)
    | ~ spl0_24
    | ~ spl0_59 ),
    inference(resolution,[],[f305,f458]) ).

fof(f1119,plain,
    ( spl0_144
    | spl0_168
    | ~ spl0_25
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1102,f721,f307,f1116,f927]) ).

fof(f307,plain,
    ( spl0_25
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1102,plain,
    ( c3_1(a730)
    | c1_1(a730)
    | ~ spl0_25
    | ~ spl0_109 ),
    inference(resolution,[],[f308,f723]) ).

fof(f723,plain,
    ( c0_1(a730)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f308,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f1114,plain,
    ( spl0_114
    | spl0_125
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1101,f489,f307,f810,f752]) ).

fof(f489,plain,
    ( spl0_66
  <=> c0_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1101,plain,
    ( c1_1(a731)
    | c3_1(a731)
    | ~ spl0_25
    | ~ spl0_66 ),
    inference(resolution,[],[f308,f491]) ).

fof(f491,plain,
    ( c0_1(a731)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f1113,plain,
    ( spl0_6
    | spl0_167
    | ~ spl0_25
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1107,f644,f307,f1110,f229]) ).

fof(f644,plain,
    ( spl0_96
  <=> c0_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1107,plain,
    ( c3_1(a669)
    | c1_1(a669)
    | ~ spl0_25
    | ~ spl0_96 ),
    inference(resolution,[],[f308,f646]) ).

fof(f646,plain,
    ( c0_1(a669)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1087,plain,
    ( spl0_147
    | spl0_157
    | ~ spl0_8
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1086,f583,f238,f1001,f942]) ).

fof(f238,plain,
    ( spl0_8
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1086,plain,
    ( c0_1(a670)
    | c1_1(a670)
    | ~ spl0_8
    | ~ spl0_85 ),
    inference(resolution,[],[f585,f239]) ).

fof(f239,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1079,plain,
    ( spl0_125
    | spl0_164
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1069,f489,f300,f1076,f810]) ).

fof(f1069,plain,
    ( c2_1(a731)
    | c1_1(a731)
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(resolution,[],[f301,f491]) ).

fof(f1074,plain,
    ( spl0_6
    | spl0_75
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1073,f644,f300,f535,f229]) ).

fof(f1073,plain,
    ( c2_1(a669)
    | c1_1(a669)
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(resolution,[],[f301,f646]) ).

fof(f1054,plain,
    ( spl0_134
    | spl0_149
    | ~ spl0_16
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1046,f699,f269,f953,f870]) ).

fof(f870,plain,
    ( spl0_134
  <=> c2_1(a703) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f953,plain,
    ( spl0_149
  <=> c0_1(a703) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f699,plain,
    ( spl0_105
  <=> c1_1(a703) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1046,plain,
    ( c0_1(a703)
    | c2_1(a703)
    | ~ spl0_16
    | ~ spl0_105 ),
    inference(resolution,[],[f270,f701]) ).

fof(f701,plain,
    ( c1_1(a703)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f1053,plain,
    ( spl0_78
    | spl0_162
    | ~ spl0_16
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1048,f456,f269,f1050,f550]) ).

fof(f1048,plain,
    ( c0_1(a668)
    | c2_1(a668)
    | ~ spl0_16
    | ~ spl0_59 ),
    inference(resolution,[],[f270,f458]) ).

fof(f1043,plain,
    ( spl0_12
    | ~ spl0_160
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1039,f494,f266,f1025,f254]) ).

fof(f1039,plain,
    ( ~ c3_1(a710)
    | c0_1(a710)
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(resolution,[],[f267,f496]) ).

fof(f1042,plain,
    ( spl0_98
    | ~ spl0_112
    | ~ spl0_15
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1040,f1008,f266,f742,f655]) ).

fof(f1040,plain,
    ( ~ c3_1(a681)
    | c0_1(a681)
    | ~ spl0_15
    | ~ spl0_158 ),
    inference(resolution,[],[f267,f1010]) ).

fof(f1010,plain,
    ( c1_1(a681)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1037,plain,
    ( spl0_132
    | ~ spl0_72
    | ~ spl0_9
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1030,f989,f241,f517,f849]) ).

fof(f241,plain,
    ( spl0_9
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1030,plain,
    ( ~ c2_1(a702)
    | c1_1(a702)
    | ~ spl0_9
    | ~ spl0_155 ),
    inference(resolution,[],[f991,f242]) ).

fof(f242,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f1036,plain,
    ( spl0_161
    | spl0_132
    | ~ spl0_8
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1031,f989,f238,f849,f1033]) ).

fof(f1031,plain,
    ( c1_1(a702)
    | c0_1(a702)
    | ~ spl0_8
    | ~ spl0_155 ),
    inference(resolution,[],[f991,f239]) ).

fof(f1029,plain,
    ( ~ spl0_94
    | ~ spl0_84
    | ~ spl0_14
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1019,f1015,f263,f578,f635]) ).

fof(f578,plain,
    ( spl0_84
  <=> c3_1(a753) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1019,plain,
    ( ~ c3_1(a753)
    | ~ c2_1(a753)
    | ~ spl0_14
    | ~ spl0_159 ),
    inference(resolution,[],[f264,f1017]) ).

fof(f1017,plain,
    ( c1_1(a753)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1023,plain,
    ( ~ spl0_103
    | ~ spl0_112
    | ~ spl0_14
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1021,f1008,f263,f742,f685]) ).

fof(f1021,plain,
    ( ~ c3_1(a681)
    | ~ c2_1(a681)
    | ~ spl0_14
    | ~ spl0_158 ),
    inference(resolution,[],[f264,f1010]) ).

fof(f1018,plain,
    ( ~ spl0_94
    | spl0_159
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1012,f578,f241,f1015,f635]) ).

fof(f1012,plain,
    ( c1_1(a753)
    | ~ c2_1(a753)
    | ~ spl0_9
    | ~ spl0_84 ),
    inference(resolution,[],[f242,f580]) ).

fof(f580,plain,
    ( c3_1(a753)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1011,plain,
    ( spl0_158
    | spl0_98
    | ~ spl0_8
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1006,f742,f238,f655,f1008]) ).

fof(f1006,plain,
    ( c0_1(a681)
    | c1_1(a681)
    | ~ spl0_8
    | ~ spl0_112 ),
    inference(resolution,[],[f239,f744]) ).

fof(f1004,plain,
    ( ~ spl0_86
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f129,f1001,f587]) ).

fof(f587,plain,
    ( spl0_86
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f129,axiom,
    ( ~ c0_1(a670)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f994,plain,
    ( ~ spl0_1
    | spl0_16
    | spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f162,f428,f286,f269,f206]) ).

fof(f206,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f286,plain,
    ( spl0_20
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | hskp6
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f992,plain,
    ( ~ spl0_27
    | spl0_155 ),
    inference(avatar_split_clause,[],[f68,f989,f314]) ).

fof(f314,plain,
    ( spl0_27
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f68,axiom,
    ( c3_1(a702)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f986,plain,
    ( ~ spl0_1
    | spl0_41
    | spl0_15
    | spl0_52 ),
    inference(avatar_split_clause,[],[f182,f424,f266,f372,f206]) ).

fof(f372,plain,
    ( spl0_41
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f980,plain,
    ( ~ spl0_62
    | spl0_153 ),
    inference(avatar_split_clause,[],[f52,f977,f470]) ).

fof(f470,plain,
    ( spl0_62
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f52,axiom,
    ( c1_1(a676)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f969,plain,
    ( ~ spl0_62
    | spl0_151 ),
    inference(avatar_split_clause,[],[f51,f966,f470]) ).

fof(f51,axiom,
    ( c0_1(a676)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f963,plain,
    ( ~ spl0_150
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f127,f372,f960]) ).

fof(f127,axiom,
    ( ~ hskp3
    | ~ c0_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f956,plain,
    ( ~ spl0_149
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f105,f432,f953]) ).

fof(f432,plain,
    ( spl0_54
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f105,axiom,
    ( ~ hskp17
    | ~ c0_1(a703) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f951,plain,
    ( ~ spl0_148
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f121,f437,f948]) ).

fof(f437,plain,
    ( spl0_55
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f121,axiom,
    ( ~ hskp5
    | ~ c0_1(a673) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f946,plain,
    ( spl0_57
    | spl0_2
    | spl0_13 ),
    inference(avatar_split_clause,[],[f34,f258,f210,f448]) ).

fof(f448,plain,
    ( spl0_57
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f210,plain,
    ( spl0_2
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f258,plain,
    ( spl0_13
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f34,axiom,
    ( hskp19
    | hskp28
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f945,plain,
    ( ~ spl0_147
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f130,f587,f942]) ).

fof(f130,axiom,
    ( ~ hskp2
    | ~ c1_1(a670) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f935,plain,
    ( spl0_145
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f47,f215,f932]) ).

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

fof(f47,axiom,
    ( ~ hskp29
    | c3_1(a725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f930,plain,
    ( ~ spl0_79
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f97,f927,f555]) ).

fof(f555,plain,
    ( spl0_79
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f97,axiom,
    ( ~ c1_1(a730)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f924,plain,
    ( spl0_143
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f79,f448,f921]) ).

fof(f79,axiom,
    ( ~ hskp9
    | c2_1(a680) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f918,plain,
    ( spl0_142
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f81,f245,f915]) ).

fof(f245,plain,
    ( spl0_10
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f81,axiom,
    ( ~ hskp8
    | c3_1(a679) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f913,plain,
    ( ~ spl0_141
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f125,f329,f910]) ).

fof(f329,plain,
    ( spl0_31
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f125,axiom,
    ( ~ hskp4
    | ~ c1_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f903,plain,
    ( spl0_139
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f85,f286,f900]) ).

fof(f85,axiom,
    ( ~ hskp6
    | c3_1(a674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f898,plain,
    ( ~ spl0_62
    | spl0_138 ),
    inference(avatar_split_clause,[],[f53,f895,f470]) ).

fof(f53,axiom,
    ( c2_1(a676)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f892,plain,
    ( spl0_24
    | ~ spl0_1
    | spl0_27
    | spl0_15 ),
    inference(avatar_split_clause,[],[f183,f266,f314,f206,f304]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp16
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f891,plain,
    ( ~ spl0_137
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f120,f286,f888]) ).

fof(f120,axiom,
    ( ~ hskp6
    | ~ c1_1(a674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f886,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_52
    | spl0_79 ),
    inference(avatar_split_clause,[],[f187,f555,f424,f241,f206]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( hskp23
      | ~ c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f885,plain,
    ( ~ spl0_1
    | spl0_15
    | spl0_119
    | spl0_26 ),
    inference(avatar_split_clause,[],[f202,f311,f779,f266,f206]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | c3_1(X2)
      | ~ c0_1(X0)
      | c0_1(X2)
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f884,plain,
    ( ~ spl0_43
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f119,f881,f381]) ).

fof(f381,plain,
    ( spl0_43
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f119,axiom,
    ( ~ c2_1(a675)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f873,plain,
    ( ~ spl0_134
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f106,f432,f870]) ).

fof(f106,axiom,
    ( ~ hskp17
    | ~ c2_1(a703) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f868,plain,
    ( spl0_27
    | spl0_14
    | ~ spl0_1
    | spl0_79 ),
    inference(avatar_split_clause,[],[f160,f555,f206,f263,f314]) ).

fof(f160,axiom,
    ! [X0] :
      ( hskp23
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | hskp16
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f867,plain,
    ( ~ spl0_1
    | spl0_63
    | spl0_19
    | spl0_124 ),
    inference(avatar_split_clause,[],[f198,f805,f282,f474,f206]) ).

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

fof(f866,plain,
    ( ~ spl0_17
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f111,f863,f273]) ).

fof(f273,plain,
    ( spl0_17
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f111,axiom,
    ( ~ c3_1(a688)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f859,plain,
    ( ~ spl0_70
    | spl0_1 ),
    inference(avatar_split_clause,[],[f10,f206,f508]) ).

fof(f508,plain,
    ( spl0_70
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f10,axiom,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f858,plain,
    ( ~ spl0_1
    | spl0_36
    | spl0_2
    | spl0_60 ),
    inference(avatar_split_clause,[],[f179,f461,f210,f350,f206]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | hskp28
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f857,plain,
    ( spl0_70
    | spl0_86
    | spl0_7 ),
    inference(avatar_split_clause,[],[f37,f234,f587,f508]) ).

fof(f234,plain,
    ( spl0_7
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f37,axiom,
    ( hskp11
    | hskp2
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f855,plain,
    ( ~ spl0_1
    | spl0_28
    | spl0_30
    | spl0_62 ),
    inference(avatar_split_clause,[],[f173,f470,f325,f318,f206]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( hskp27
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f852,plain,
    ( ~ spl0_132
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f107,f314,f849]) ).

fof(f107,axiom,
    ( ~ hskp16
    | ~ c1_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f847,plain,
    ( spl0_131
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f82,f381,f844]) ).

fof(f82,axiom,
    ( ~ hskp7
    | c1_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f842,plain,
    ( spl0_130
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f71,f295,f839]) ).

fof(f295,plain,
    ( spl0_22
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f71,axiom,
    ( ~ hskp14
    | c2_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f837,plain,
    ( spl0_129
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f72,f273,f834]) ).

fof(f72,axiom,
    ( ~ hskp13
    | c0_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f832,plain,
    ( ~ spl0_86
    | spl0_1 ),
    inference(avatar_split_clause,[],[f29,f206,f587]) ).

fof(f29,axiom,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f831,plain,
    ( spl0_7
    | spl0_2
    | spl0_48 ),
    inference(avatar_split_clause,[],[f33,f405,f210,f234]) ).

fof(f405,plain,
    ( spl0_48
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f33,axiom,
    ( hskp30
    | hskp28
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f830,plain,
    ( ~ spl0_128
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f126,f329,f827]) ).

fof(f126,axiom,
    ( ~ hskp4
    | ~ c2_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f825,plain,
    ( ~ spl0_3
    | spl0_127 ),
    inference(avatar_split_clause,[],[f45,f822,f215]) ).

fof(f45,axiom,
    ( c1_1(a725)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f819,plain,
    ( spl0_22
    | spl0_119
    | ~ spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f142,f225,f206,f779,f295]) ).

fof(f225,plain,
    ( spl0_5
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f142,axiom,
    ! [X0] :
      ( hskp1
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f813,plain,
    ( ~ spl0_32
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f95,f810,f333]) ).

fof(f333,plain,
    ( spl0_32
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f95,axiom,
    ( ~ c1_1(a731)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f808,plain,
    ( spl0_86
    | spl0_57
    | ~ spl0_1
    | spl0_23 ),
    inference(avatar_split_clause,[],[f146,f300,f206,f448,f587]) ).

fof(f146,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp9
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f798,plain,
    ( spl0_31
    | ~ spl0_1
    | spl0_71
    | spl0_101 ),
    inference(avatar_split_clause,[],[f172,f672,f512,f206,f329]) ).

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

fof(f797,plain,
    ( ~ spl0_1
    | spl0_14
    | spl0_60 ),
    inference(avatar_split_clause,[],[f191,f461,f263,f206]) ).

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

fof(f796,plain,
    ( ~ spl0_122
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f122,f437,f793]) ).

fof(f122,axiom,
    ( ~ hskp5
    | ~ c2_1(a673) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f791,plain,
    ( ~ spl0_1
    | spl0_14
    | spl0_25
    | spl0_63 ),
    inference(avatar_split_clause,[],[f197,f474,f307,f263,f206]) ).

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

fof(f785,plain,
    ( spl0_22
    | spl0_32
    | ~ spl0_1
    | spl0_24 ),
    inference(avatar_split_clause,[],[f157,f304,f206,f333,f295]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp24
      | ~ c1_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f784,plain,
    ( spl0_91
    | ~ spl0_1
    | spl0_119
    | spl0_120 ),
    inference(avatar_split_clause,[],[f166,f782,f779,f206,f617]) ).

fof(f617,plain,
    ( spl0_91
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp10
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f777,plain,
    ( ~ spl0_2
    | spl0_118 ),
    inference(avatar_split_clause,[],[f49,f774,f210]) ).

fof(f49,axiom,
    ( c1_1(a678)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f771,plain,
    ( spl0_117
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f76,f234,f768]) ).

fof(f76,axiom,
    ( ~ hskp11
    | c3_1(a683) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f766,plain,
    ( ~ spl0_50
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f134,f763,f414]) ).

fof(f414,plain,
    ( spl0_50
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f134,axiom,
    ( ~ c3_1(a668)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f761,plain,
    ( ~ spl0_13
    | spl0_115 ),
    inference(avatar_split_clause,[],[f64,f758,f258]) ).

fof(f64,axiom,
    ( c2_1(a710)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f755,plain,
    ( ~ spl0_32
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f96,f752,f333]) ).

fof(f96,axiom,
    ( ~ c3_1(a731)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f745,plain,
    ( ~ spl0_91
    | spl0_112 ),
    inference(avatar_split_clause,[],[f78,f742,f617]) ).

fof(f78,axiom,
    ( c3_1(a681)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f740,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f20,f206,f234]) ).

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

fof(f739,plain,
    ( spl0_95
    | ~ spl0_1
    | spl0_35
    | spl0_101 ),
    inference(avatar_split_clause,[],[f195,f672,f347,f206,f640]) ).

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

fof(f733,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f149,f362,f307,f215,f206]) ).

fof(f362,plain,
    ( spl0_39
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp15
      | c3_1(X0)
      | hskp29
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f730,plain,
    ( spl0_62
    | spl0_36
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f206,f269,f350,f470]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | hskp27
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f729,plain,
    ( ~ spl0_3
    | spl0_110 ),
    inference(avatar_split_clause,[],[f46,f726,f215]) ).

fof(f46,axiom,
    ( c2_1(a725)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f724,plain,
    ( ~ spl0_79
    | spl0_109 ),
    inference(avatar_split_clause,[],[f56,f721,f555]) ).

fof(f56,axiom,
    ( c0_1(a730)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f709,plain,
    ( spl0_3
    | spl0_50
    | spl0_27 ),
    inference(avatar_split_clause,[],[f39,f314,f414,f215]) ).

fof(f39,axiom,
    ( hskp16
    | hskp0
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f708,plain,
    ( spl0_106
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f57,f555,f705]) ).

fof(f57,axiom,
    ( ~ hskp23
    | c2_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f702,plain,
    ( ~ spl0_54
    | spl0_105 ),
    inference(avatar_split_clause,[],[f66,f699,f432]) ).

fof(f66,axiom,
    ( c1_1(a703)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f696,plain,
    ( ~ spl0_1
    | spl0_36
    | spl0_10
    | spl0_57 ),
    inference(avatar_split_clause,[],[f140,f448,f245,f350,f206]) ).

fof(f140,axiom,
    ! [X0] :
      ( hskp9
      | hskp8
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f695,plain,
    ( spl0_32
    | spl0_52
    | ~ spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f153,f258,f206,f424,f333]) ).

fof(f153,axiom,
    ! [X0] :
      ( hskp19
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X0)
      | hskp24
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f693,plain,
    ( ~ spl0_104
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f124,f329,f690]) ).

fof(f124,axiom,
    ( ~ hskp4
    | ~ c0_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f688,plain,
    ( spl0_103
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f77,f617,f685]) ).

fof(f77,axiom,
    ( ~ hskp10
    | c2_1(a681) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f675,plain,
    ( ~ spl0_1
    | spl0_91
    | spl0_35
    | spl0_2 ),
    inference(avatar_split_clause,[],[f155,f210,f347,f617,f206]) ).

fof(f155,axiom,
    ! [X0] :
      ( hskp28
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp10
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f670,plain,
    ( ~ spl0_1
    | spl0_39
    | spl0_30
    | spl0_26 ),
    inference(avatar_split_clause,[],[f189,f311,f325,f362,f206]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f668,plain,
    ( spl0_100
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f84,f286,f665]) ).

fof(f84,axiom,
    ( ~ hskp6
    | c0_1(a674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f658,plain,
    ( ~ spl0_91
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f115,f655,f617]) ).

fof(f115,axiom,
    ( ~ c0_1(a681)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f653,plain,
    ( ~ spl0_1
    | spl0_86
    | spl0_91
    | spl0_36 ),
    inference(avatar_split_clause,[],[f141,f350,f617,f587,f206]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp10
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f652,plain,
    ( ~ spl0_97
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f128,f372,f649]) ).

fof(f128,axiom,
    ( ~ hskp3
    | ~ c1_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f647,plain,
    ( spl0_96
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f88,f225,f644]) ).

fof(f88,axiom,
    ( ~ hskp1
    | c0_1(a669) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f638,plain,
    ( ~ spl0_48
    | spl0_94 ),
    inference(avatar_split_clause,[],[f43,f635,f405]) ).

fof(f43,axiom,
    ( c2_1(a753)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f632,plain,
    ( ~ spl0_93
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f108,f362,f629]) ).

fof(f108,axiom,
    ( ~ hskp15
    | ~ c0_1(a700) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f627,plain,
    ( spl0_91
    | ~ spl0_1
    | spl0_24
    | spl0_30 ),
    inference(avatar_split_clause,[],[f181,f325,f304,f206,f617]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp10
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f620,plain,
    ( ~ spl0_1
    | spl0_91
    | spl0_28
    | spl0_71 ),
    inference(avatar_split_clause,[],[f177,f512,f318,f617,f206]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | hskp10
      | ~ ndr1_0
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f615,plain,
    ( spl0_7
    | ~ spl0_1
    | spl0_29
    | spl0_27 ),
    inference(avatar_split_clause,[],[f152,f314,f322,f206,f234]) ).

fof(f152,axiom,
    ! [X0] :
      ( hskp16
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f606,plain,
    ( spl0_17
    | ~ spl0_1
    | spl0_9
    | spl0_63 ),
    inference(avatar_split_clause,[],[f178,f474,f241,f206,f273]) ).

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

fof(f605,plain,
    ( ~ spl0_89
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f116,f448,f602]) ).

fof(f116,axiom,
    ( ~ hskp9
    | ~ c1_1(a680) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f599,plain,
    ( ~ spl0_57
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f117,f596,f448]) ).

fof(f117,axiom,
    ( ~ c3_1(a680)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f594,plain,
    ( spl0_5
    | spl0_87
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f206,f587,f592,f225]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f590,plain,
    ( spl0_85
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f87,f587,f583]) ).

fof(f87,axiom,
    ( ~ hskp2
    | c3_1(a670) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f581,plain,
    ( ~ spl0_48
    | spl0_84 ),
    inference(avatar_split_clause,[],[f44,f578,f405]) ).

fof(f44,axiom,
    ( c3_1(a753)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f553,plain,
    ( ~ spl0_50
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f133,f550,f414]) ).

fof(f133,axiom,
    ( ~ c2_1(a668)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f548,plain,
    ( ~ spl0_2
    | spl0_77 ),
    inference(avatar_split_clause,[],[f50,f545,f210]) ).

fof(f50,axiom,
    ( c3_1(a678)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f538,plain,
    ( ~ spl0_75
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f132,f225,f535]) ).

fof(f132,axiom,
    ( ~ hskp1
    | ~ c2_1(a669) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f526,plain,
    ( spl0_73
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f48,f210,f523]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c0_1(a678) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f520,plain,
    ( spl0_72
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f67,f314,f517]) ).

fof(f67,axiom,
    ( ~ hskp16
    | c2_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f497,plain,
    ( spl0_67
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f63,f258,f494]) ).

fof(f63,axiom,
    ( ~ hskp19
    | c1_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f492,plain,
    ( spl0_66
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f55,f333,f489]) ).

fof(f55,axiom,
    ( ~ hskp24
    | c0_1(a731) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f486,plain,
    ( spl0_65
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f70,f295,f483]) ).

fof(f70,axiom,
    ( ~ hskp14
    | c0_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f481,plain,
    ( ~ spl0_64
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f123,f437,f478]) ).

fof(f123,axiom,
    ( ~ hskp5
    | ~ c3_1(a673) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f476,plain,
    ( ~ spl0_1
    | spl0_62
    | spl0_63
    | spl0_5 ),
    inference(avatar_split_clause,[],[f150,f225,f474,f470,f206]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp1
      | c3_1(X0)
      | hskp27
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f463,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f201,f461,f269,f241,f206]) ).

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

fof(f459,plain,
    ( ~ spl0_50
    | spl0_59 ),
    inference(avatar_split_clause,[],[f89,f456,f414]) ).

fof(f89,axiom,
    ( c1_1(a668)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f454,plain,
    ( spl0_55
    | ~ spl0_1
    | spl0_57
    | spl0_58 ),
    inference(avatar_split_clause,[],[f159,f452,f448,f206,f437]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp9
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp5
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f446,plain,
    ( ~ spl0_7
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f114,f443,f234]) ).

fof(f114,axiom,
    ( ~ c2_1(a683)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f441,plain,
    ( spl0_36
    | spl0_28
    | ~ spl0_1
    | spl0_55 ),
    inference(avatar_split_clause,[],[f165,f437,f206,f318,f350]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( hskp5
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f435,plain,
    ( spl0_22
    | spl0_54
    | spl0_35
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f206,f347,f432,f295]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | hskp17
      | ~ c1_1(X0)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f430,plain,
    ( ~ spl0_1
    | spl0_53
    | spl0_2
    | spl0_43 ),
    inference(avatar_split_clause,[],[f138,f381,f210,f428,f206]) ).

fof(f138,axiom,
    ! [X0] :
      ( hskp7
      | hskp28
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f426,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_52
    | spl0_16 ),
    inference(avatar_split_clause,[],[f194,f269,f424,f322,f206]) ).

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

fof(f422,plain,
    ( ~ spl0_7
    | spl0_51 ),
    inference(avatar_split_clause,[],[f75,f419,f234]) ).

fof(f75,axiom,
    ( c0_1(a683)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f408,plain,
    ( spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f42,f405,f401]) ).

fof(f42,axiom,
    ( ~ hskp30
    | c0_1(a753) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f390,plain,
    ( spl0_44
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f69,f362,f387]) ).

fof(f69,axiom,
    ( ~ hskp15
    | c2_1(a700) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f384,plain,
    ( spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f83,f381,f377]) ).

fof(f83,axiom,
    ( ~ hskp7
    | c3_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f375,plain,
    ( spl0_40
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f86,f372,f368]) ).

fof(f86,axiom,
    ( ~ hskp3
    | c2_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f366,plain,
    ( spl0_31
    | spl0_19
    | spl0_39
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f206,f362,f282,f329]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | c2_1(X0)
      | hskp4
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f365,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f109,f362,f358]) ).

fof(f109,axiom,
    ( ~ hskp15
    | ~ c3_1(a700) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f352,plain,
    ( ~ spl0_1
    | spl0_35
    | spl0_25
    | spl0_36 ),
    inference(avatar_split_clause,[],[f192,f350,f307,f347,f206]) ).

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

fof(f345,plain,
    ( ~ spl0_34
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f118,f245,f342]) ).

fof(f118,axiom,
    ( ~ hskp8
    | ~ c0_1(a679) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f327,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_30
    | spl0_14 ),
    inference(avatar_split_clause,[],[f204,f263,f325,f322,f206]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f320,plain,
    ( ~ spl0_1
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f186,f318,f314,f311,f206]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp16
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f309,plain,
    ( ~ spl0_1
    | spl0_24
    | spl0_25
    | spl0_14 ),
    inference(avatar_split_clause,[],[f203,f263,f307,f304,f206]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X2)
      | c3_1(X1)
      | c3_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f302,plain,
    ( spl0_23
    | ~ spl0_1
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f185,f263,f258,f206,f300]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp19
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f298,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f110,f295,f291]) ).

fof(f110,axiom,
    ( ~ hskp14
    | ~ c3_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f284,plain,
    ( spl0_8
    | ~ spl0_1
    | spl0_15
    | spl0_19 ),
    inference(avatar_split_clause,[],[f193,f282,f266,f206,f238]) ).

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

fof(f280,plain,
    ( ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f73,f277,f273]) ).

fof(f73,axiom,
    ( c1_1(a688)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f271,plain,
    ( ~ spl0_1
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f200,f269,f266,f263,f206]) ).

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

fof(f261,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f102,f258,f254]) ).

fof(f102,axiom,
    ( ~ hskp19
    | ~ c0_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f252,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f80,f249,f245]) ).

fof(f80,axiom,
    ( c1_1(a679)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f243,plain,
    ( spl0_7
    | spl0_8
    | spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f206,f241,f238,f234]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | hskp11
      | c1_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f232,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f131,f229,f225]) ).

fof(f131,axiom,
    ( ~ c1_1(a669)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN511-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:13:51 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (32359)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52  % (32350)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (32342)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (32348)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  Detected maximum model sizes of [31]
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.53  % (32336)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (32338)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (32337)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (32340)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (32360)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (32361)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (32339)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  TRYING [4]
% 0.20/0.54  % (32353)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (32343)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (32351)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55  % (32345)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (32364)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (32341)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.55  % (32357)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (32344)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (32344)Instruction limit reached!
% 0.20/0.55  % (32344)------------------------------
% 0.20/0.55  % (32344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (32344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (32344)Termination reason: Unknown
% 0.20/0.55  % (32344)Termination phase: shuffling
% 0.20/0.55  
% 0.20/0.55  % (32344)Memory used [KB]: 1023
% 0.20/0.55  % (32344)Time elapsed: 0.002 s
% 0.20/0.55  % (32344)Instructions burned: 2 (million)
% 0.20/0.55  % (32344)------------------------------
% 0.20/0.55  % (32344)------------------------------
% 0.20/0.55  % (32349)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (32354)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (32366)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55  % (32355)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (32362)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (32363)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (32356)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (32347)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (32343)Instruction limit reached!
% 0.20/0.55  % (32343)------------------------------
% 0.20/0.55  % (32343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (32343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (32343)Termination reason: Unknown
% 0.20/0.56  % (32343)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (32343)Memory used [KB]: 6012
% 0.20/0.56  % (32343)Time elapsed: 0.096 s
% 0.20/0.56  % (32343)Instructions burned: 7 (million)
% 0.20/0.56  % (32343)------------------------------
% 0.20/0.56  % (32343)------------------------------
% 0.20/0.56  % (32365)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56  Detected maximum model sizes of [31]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [5]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  % (32342)Instruction limit reached!
% 0.20/0.56  % (32342)------------------------------
% 0.20/0.56  % (32342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (32342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (32342)Termination reason: Unknown
% 0.20/0.56  % (32342)Termination phase: Finite model building SAT solving
% 0.20/0.56  
% 0.20/0.56  % (32342)Memory used [KB]: 6268
% 0.20/0.56  % (32342)Time elapsed: 0.140 s
% 0.20/0.56  % (32342)Instructions burned: 51 (million)
% 0.20/0.56  % (32342)------------------------------
% 0.20/0.56  % (32342)------------------------------
% 0.20/0.56  % (32346)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  TRYING [3]
% 0.20/0.57  % (32358)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.58  TRYING [4]
% 0.20/0.59  % (32337)Instruction limit reached!
% 0.20/0.59  % (32337)------------------------------
% 0.20/0.59  % (32337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (32337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (32337)Termination reason: Unknown
% 0.20/0.59  % (32337)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (32337)Memory used [KB]: 6524
% 0.20/0.59  % (32337)Time elapsed: 0.158 s
% 0.20/0.59  % (32337)Instructions burned: 50 (million)
% 0.20/0.59  % (32337)------------------------------
% 0.20/0.59  % (32337)------------------------------
% 1.84/0.60  Detected maximum model sizes of [31]
% 1.84/0.60  TRYING [1]
% 1.84/0.60  TRYING [2]
% 1.84/0.60  % (32339)First to succeed.
% 1.84/0.61  % (32338)Instruction limit reached!
% 1.84/0.61  % (32338)------------------------------
% 1.84/0.61  % (32338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61  % (32338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61  % (32338)Termination reason: Unknown
% 1.84/0.61  % (32338)Termination phase: Saturation
% 1.84/0.61  
% 1.84/0.61  % (32338)Memory used [KB]: 1279
% 1.84/0.61  % (32338)Time elapsed: 0.194 s
% 1.84/0.61  % (32338)Instructions burned: 39 (million)
% 1.84/0.61  % (32338)------------------------------
% 1.84/0.61  % (32338)------------------------------
% 1.84/0.61  TRYING [3]
% 1.84/0.61  TRYING [5]
% 1.84/0.62  % (32340)Instruction limit reached!
% 1.84/0.62  % (32340)------------------------------
% 1.84/0.62  % (32340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62  % (32340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62  % (32340)Termination reason: Unknown
% 1.84/0.62  % (32340)Termination phase: Saturation
% 1.84/0.62  
% 1.84/0.62  % (32340)Memory used [KB]: 6908
% 1.84/0.62  % (32340)Time elapsed: 0.191 s
% 1.84/0.62  % (32340)Instructions burned: 52 (million)
% 1.84/0.62  % (32340)------------------------------
% 1.84/0.62  % (32340)------------------------------
% 1.94/0.62  % (32339)Refutation found. Thanks to Tanya!
% 1.94/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.94/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.63  % (32339)------------------------------
% 1.94/0.63  % (32339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.63  % (32339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.63  % (32339)Termination reason: Refutation
% 1.94/0.63  
% 1.94/0.63  % (32339)Memory used [KB]: 6780
% 1.94/0.63  % (32339)Time elapsed: 0.190 s
% 1.94/0.63  % (32339)Instructions burned: 39 (million)
% 1.94/0.63  % (32339)------------------------------
% 1.94/0.63  % (32339)------------------------------
% 1.94/0.63  % (32332)Success in time 0.261 s
%------------------------------------------------------------------------------