TSTP Solution File: SYN504-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN504-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:27:22 EDT 2022

% Result   : Unsatisfiable 2.21s 0.63s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  321
% Syntax   : Number of formulae    :  763 (   1 unt;   0 def)
%            Number of atoms       : 2471 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2940 (1232   ~;1538   |;   0   &)
%                                         ( 170 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  206 ( 205 usr; 202 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  162 ( 162   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2476,plain,
    $false,
    inference(avatar_sat_refutation,[],[f237,f247,f256,f275,f284,f292,f296,f305,f323,f332,f338,f348,f356,f368,f380,f384,f389,f394,f403,f408,f422,f431,f436,f461,f466,f471,f477,f482,f489,f495,f504,f509,f519,f533,f538,f540,f545,f550,f555,f560,f569,f575,f581,f582,f586,f591,f595,f600,f601,f602,f608,f613,f618,f623,f628,f633,f642,f647,f652,f653,f658,f660,f661,f662,f670,f676,f677,f686,f695,f699,f702,f706,f711,f713,f723,f724,f729,f734,f735,f740,f745,f751,f752,f757,f758,f763,f764,f765,f771,f776,f781,f786,f791,f796,f802,f806,f807,f809,f814,f819,f825,f830,f835,f836,f841,f846,f851,f855,f860,f861,f862,f867,f872,f877,f878,f889,f891,f893,f894,f899,f900,f909,f914,f915,f917,f922,f923,f926,f927,f937,f939,f945,f950,f956,f961,f966,f972,f977,f982,f987,f992,f994,f996,f997,f1002,f1005,f1010,f1015,f1021,f1026,f1027,f1037,f1038,f1043,f1048,f1053,f1058,f1073,f1094,f1095,f1096,f1120,f1127,f1131,f1169,f1177,f1188,f1194,f1202,f1213,f1226,f1227,f1228,f1229,f1237,f1239,f1258,f1260,f1283,f1297,f1306,f1330,f1334,f1356,f1389,f1400,f1403,f1413,f1431,f1436,f1455,f1481,f1482,f1483,f1485,f1550,f1551,f1609,f1610,f1614,f1618,f1629,f1635,f1679,f1680,f1687,f1705,f1732,f1737,f1739,f1792,f1826,f1828,f1831,f1860,f1864,f1867,f1868,f1881,f1882,f1883,f1891,f1984,f1986,f1987,f1995,f2025,f2030,f2040,f2043,f2045,f2051,f2108,f2115,f2133,f2134,f2137,f2139,f2140,f2141,f2166,f2168,f2227,f2231,f2236,f2281,f2376,f2377,f2420,f2456,f2459,f2475]) ).

fof(f2475,plain,
    ( spl0_165
    | ~ spl0_28
    | ~ spl0_133
    | spl0_142 ),
    inference(avatar_split_clause,[],[f2474,f906,f853,f318,f1055]) ).

fof(f1055,plain,
    ( spl0_165
  <=> c0_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f318,plain,
    ( spl0_28
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f853,plain,
    ( spl0_133
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f906,plain,
    ( spl0_142
  <=> c2_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2474,plain,
    ( c0_1(a360)
    | ~ spl0_28
    | ~ spl0_133
    | spl0_142 ),
    inference(resolution,[],[f908,f2330]) ).

fof(f2330,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(duplicate_literal_removal,[],[f2316]) ).

fof(f2316,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f854,f319]) ).

fof(f319,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f854,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f908,plain,
    ( ~ c2_1(a360)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f2459,plain,
    ( spl0_98
    | ~ spl0_28
    | ~ spl0_133
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2449,f979,f853,f318,f655]) ).

fof(f655,plain,
    ( spl0_98
  <=> c0_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f979,plain,
    ( spl0_154
  <=> c2_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2449,plain,
    ( c0_1(a395)
    | ~ spl0_28
    | ~ spl0_133
    | spl0_154 ),
    inference(resolution,[],[f2330,f981]) ).

fof(f981,plain,
    ( ~ c2_1(a395)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f2456,plain,
    ( spl0_129
    | ~ spl0_28
    | spl0_127
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2454,f853,f822,f318,f832]) ).

fof(f832,plain,
    ( spl0_129
  <=> c0_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f822,plain,
    ( spl0_127
  <=> c2_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2454,plain,
    ( c0_1(a366)
    | ~ spl0_28
    | spl0_127
    | ~ spl0_133 ),
    inference(resolution,[],[f2330,f824]) ).

fof(f824,plain,
    ( ~ c2_1(a366)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f2420,plain,
    ( ~ spl0_143
    | spl0_94
    | ~ spl0_58
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f2418,f2027,f452,f635,f911]) ).

fof(f911,plain,
    ( spl0_143
  <=> c2_1(a364) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f635,plain,
    ( spl0_94
  <=> c0_1(a364) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f452,plain,
    ( spl0_58
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2027,plain,
    ( spl0_190
  <=> c3_1(a364) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f2418,plain,
    ( c0_1(a364)
    | ~ c2_1(a364)
    | ~ spl0_58
    | ~ spl0_190 ),
    inference(resolution,[],[f2029,f453]) ).

fof(f453,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f2029,plain,
    ( c3_1(a364)
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f2027]) ).

fof(f2377,plain,
    ( spl0_150
    | ~ spl0_73
    | ~ spl0_151
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2372,f1729,f964,f526,f958]) ).

fof(f958,plain,
    ( spl0_150
  <=> c2_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f526,plain,
    ( spl0_73
  <=> c0_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f964,plain,
    ( spl0_151
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1729,plain,
    ( spl0_188
  <=> c1_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f2372,plain,
    ( ~ c0_1(a418)
    | c2_1(a418)
    | ~ spl0_151
    | ~ spl0_188 ),
    inference(resolution,[],[f1731,f965]) ).

fof(f965,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f1731,plain,
    ( c1_1(a418)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1729]) ).

fof(f2376,plain,
    ( ~ spl0_73
    | spl0_120
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2373,f1729,f350,f783,f526]) ).

fof(f783,plain,
    ( spl0_120
  <=> c3_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f350,plain,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2373,plain,
    ( c3_1(a418)
    | ~ c0_1(a418)
    | ~ spl0_35
    | ~ spl0_188 ),
    inference(resolution,[],[f1731,f351]) ).

fof(f351,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f2281,plain,
    ( spl0_119
    | spl0_118
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2276,f341,f273,f773,f778]) ).

fof(f778,plain,
    ( spl0_119
  <=> c1_1(a361) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f773,plain,
    ( spl0_118
  <=> c2_1(a361) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f273,plain,
    ( spl0_17
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f341,plain,
    ( spl0_33
  <=> c3_1(a361) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2276,plain,
    ( c2_1(a361)
    | c1_1(a361)
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(resolution,[],[f274,f343]) ).

fof(f343,plain,
    ( c3_1(a361)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f274,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f2236,plain,
    ( spl0_82
    | ~ spl0_67
    | ~ spl0_89
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2223,f804,f610,f497,f572]) ).

fof(f572,plain,
    ( spl0_82
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f497,plain,
    ( spl0_67
  <=> c0_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f610,plain,
    ( spl0_89
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f804,plain,
    ( spl0_124
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2223,plain,
    ( ~ c0_1(a355)
    | c1_1(a355)
    | ~ spl0_89
    | ~ spl0_124 ),
    inference(resolution,[],[f805,f612]) ).

fof(f612,plain,
    ( c3_1(a355)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f805,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f2231,plain,
    ( spl0_176
    | ~ spl0_104
    | ~ spl0_115
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2213,f804,f754,f692,f1308]) ).

fof(f1308,plain,
    ( spl0_176
  <=> c1_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f692,plain,
    ( spl0_104
  <=> c0_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f754,plain,
    ( spl0_115
  <=> c3_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2213,plain,
    ( ~ c0_1(a410)
    | c1_1(a410)
    | ~ spl0_115
    | ~ spl0_124 ),
    inference(resolution,[],[f805,f756]) ).

fof(f756,plain,
    ( c3_1(a410)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f2227,plain,
    ( ~ spl0_93
    | spl0_174
    | ~ spl0_18
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2220,f804,f277,f1199,f630]) ).

fof(f630,plain,
    ( spl0_93
  <=> c0_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1199,plain,
    ( spl0_174
  <=> c1_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f277,plain,
    ( spl0_18
  <=> c3_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2220,plain,
    ( c1_1(a369)
    | ~ c0_1(a369)
    | ~ spl0_18
    | ~ spl0_124 ),
    inference(resolution,[],[f805,f279]) ).

fof(f279,plain,
    ( c3_1(a369)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f2168,plain,
    ( spl0_154
    | spl0_98
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2167,f679,f644,f655,f979]) ).

fof(f644,plain,
    ( spl0_96
  <=> c1_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f679,plain,
    ( spl0_101
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2167,plain,
    ( c0_1(a395)
    | c2_1(a395)
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(resolution,[],[f646,f680]) ).

fof(f680,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f646,plain,
    ( c1_1(a395)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f2166,plain,
    ( spl0_126
    | spl0_102
    | ~ spl0_106
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2164,f1055,f704,f683,f816]) ).

fof(f816,plain,
    ( spl0_126
  <=> c3_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f683,plain,
    ( spl0_102
  <=> c1_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f704,plain,
    ( spl0_106
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2164,plain,
    ( c1_1(a360)
    | c3_1(a360)
    | ~ spl0_106
    | ~ spl0_165 ),
    inference(resolution,[],[f705,f1057]) ).

fof(f1057,plain,
    ( c0_1(a360)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f705,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f2141,plain,
    ( spl0_30
    | spl0_45
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2077,f886,f318,f391,f325]) ).

fof(f325,plain,
    ( spl0_30
  <=> c0_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f391,plain,
    ( spl0_45
  <=> c2_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f886,plain,
    ( spl0_139
  <=> c3_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2077,plain,
    ( c2_1(a382)
    | c0_1(a382)
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(resolution,[],[f319,f888]) ).

fof(f888,plain,
    ( c3_1(a382)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f2140,plain,
    ( ~ spl0_121
    | ~ spl0_175
    | ~ spl0_27
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2065,f742,f315,f1234,f788]) ).

fof(f788,plain,
    ( spl0_121
  <=> c2_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1234,plain,
    ( spl0_175
  <=> c0_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f315,plain,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f742,plain,
    ( spl0_113
  <=> c1_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2065,plain,
    ( ~ c0_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_27
    | ~ spl0_113 ),
    inference(resolution,[],[f316,f744]) ).

fof(f744,plain,
    ( c1_1(a365)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f316,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f2139,plain,
    ( spl0_182
    | spl0_110
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2082,f1012,f318,f726,f1433]) ).

fof(f1433,plain,
    ( spl0_182
  <=> c2_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f726,plain,
    ( spl0_110
  <=> c0_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1012,plain,
    ( spl0_159
  <=> c3_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2082,plain,
    ( c0_1(a357)
    | c2_1(a357)
    | ~ spl0_28
    | ~ spl0_159 ),
    inference(resolution,[],[f319,f1014]) ).

fof(f1014,plain,
    ( c3_1(a357)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f2137,plain,
    ( spl0_110
    | ~ spl0_182
    | ~ spl0_58
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2127,f1012,f452,f1433,f726]) ).

fof(f2127,plain,
    ( ~ c2_1(a357)
    | c0_1(a357)
    | ~ spl0_58
    | ~ spl0_159 ),
    inference(resolution,[],[f453,f1014]) ).

fof(f2134,plain,
    ( ~ spl0_71
    | spl0_179
    | ~ spl0_58
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2125,f848,f452,f1353,f516]) ).

fof(f516,plain,
    ( spl0_71
  <=> c2_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1353,plain,
    ( spl0_179
  <=> c0_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f848,plain,
    ( spl0_132
  <=> c3_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2125,plain,
    ( c0_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_58
    | ~ spl0_132 ),
    inference(resolution,[],[f453,f850]) ).

fof(f850,plain,
    ( c3_1(a368)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f2133,plain,
    ( ~ spl0_121
    | spl0_175
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2118,f479,f452,f1234,f788]) ).

fof(f479,plain,
    ( spl0_64
  <=> c3_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2118,plain,
    ( c0_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(resolution,[],[f453,f481]) ).

fof(f481,plain,
    ( c3_1(a365)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f2115,plain,
    ( spl0_98
    | spl0_154
    | ~ spl0_28
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2113,f1153,f318,f979,f655]) ).

fof(f1153,plain,
    ( spl0_171
  <=> c3_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2113,plain,
    ( c2_1(a395)
    | c0_1(a395)
    | ~ spl0_28
    | ~ spl0_171 ),
    inference(resolution,[],[f1154,f319]) ).

fof(f1154,plain,
    ( c3_1(a395)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f2108,plain,
    ( spl0_65
    | ~ spl0_63
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2102,f827,f401,f474,f486]) ).

fof(f486,plain,
    ( spl0_65
  <=> c3_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f474,plain,
    ( spl0_63
  <=> c2_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f401,plain,
    ( spl0_47
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f827,plain,
    ( spl0_128
  <=> c1_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2102,plain,
    ( ~ c2_1(a363)
    | c3_1(a363)
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(resolution,[],[f402,f829]) ).

fof(f829,plain,
    ( c1_1(a363)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f402,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f2051,plain,
    ( spl0_182
    | spl0_110
    | ~ spl0_87
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2050,f679,f597,f726,f1433]) ).

fof(f597,plain,
    ( spl0_87
  <=> c1_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2050,plain,
    ( c0_1(a357)
    | c2_1(a357)
    | ~ spl0_87
    | ~ spl0_101 ),
    inference(resolution,[],[f599,f680]) ).

fof(f599,plain,
    ( c1_1(a357)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f2045,plain,
    ( spl0_6
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2021,f697,f242,f231]) ).

fof(f231,plain,
    ( spl0_6
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f242,plain,
    ( spl0_9
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f697,plain,
    ( spl0_105
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2021,plain,
    ( ! [X4] :
        ( c0_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(duplicate_literal_removal,[],[f2004]) ).

fof(f2004,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | c0_1(X4)
        | c0_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_9
    | ~ spl0_105 ),
    inference(resolution,[],[f243,f698]) ).

fof(f698,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f243,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f2043,plain,
    ( ~ spl0_63
    | spl0_162
    | ~ spl0_105
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1920,f827,f697,f1034,f474]) ).

fof(f1034,plain,
    ( spl0_162
  <=> c0_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1920,plain,
    ( c0_1(a363)
    | ~ c2_1(a363)
    | ~ spl0_105
    | ~ spl0_128 ),
    inference(resolution,[],[f829,f698]) ).

fof(f2040,plain,
    ( ~ spl0_162
    | spl0_65
    | ~ spl0_15
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2037,f474,f267,f486,f1034]) ).

fof(f267,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2037,plain,
    ( c3_1(a363)
    | ~ c0_1(a363)
    | ~ spl0_15
    | ~ spl0_63 ),
    inference(resolution,[],[f268,f476]) ).

fof(f476,plain,
    ( c2_1(a363)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f268,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f2030,plain,
    ( spl0_190
    | spl0_94
    | ~ spl0_9
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2013,f708,f242,f635,f2027]) ).

fof(f708,plain,
    ( spl0_107
  <=> c1_1(a364) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2013,plain,
    ( c0_1(a364)
    | c3_1(a364)
    | ~ spl0_9
    | spl0_107 ),
    inference(resolution,[],[f243,f710]) ).

fof(f710,plain,
    ( ~ c1_1(a364)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f2025,plain,
    ( spl0_147
    | spl0_158
    | ~ spl0_9
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2020,f673,f242,f1007,f942]) ).

fof(f942,plain,
    ( spl0_147
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1007,plain,
    ( spl0_158
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f673,plain,
    ( spl0_100
  <=> c1_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2020,plain,
    ( c3_1(a359)
    | c0_1(a359)
    | ~ spl0_9
    | spl0_100 ),
    inference(resolution,[],[f243,f675]) ).

fof(f675,plain,
    ( ~ c1_1(a359)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f1995,plain,
    ( ~ spl0_167
    | ~ spl0_61
    | ~ spl0_29
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1989,f557,f321,f463,f1070]) ).

fof(f1070,plain,
    ( spl0_167
  <=> c0_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f463,plain,
    ( spl0_61
  <=> c3_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f321,plain,
    ( spl0_29
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f557,plain,
    ( spl0_79
  <=> c1_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1989,plain,
    ( ~ c3_1(a398)
    | ~ c0_1(a398)
    | ~ spl0_29
    | ~ spl0_79 ),
    inference(resolution,[],[f559,f322]) ).

fof(f322,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f559,plain,
    ( c1_1(a398)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1987,plain,
    ( spl0_146
    | spl0_168
    | ~ spl0_39
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1978,f720,f366,f1079,f934]) ).

fof(f934,plain,
    ( spl0_146
  <=> c3_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1079,plain,
    ( spl0_168
  <=> c2_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f366,plain,
    ( spl0_39
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f720,plain,
    ( spl0_109
  <=> c0_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1978,plain,
    ( c2_1(a380)
    | c3_1(a380)
    | ~ spl0_39
    | ~ spl0_109 ),
    inference(resolution,[],[f367,f722]) ).

fof(f722,plain,
    ( c0_1(a380)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f367,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f1986,plain,
    ( spl0_169
    | spl0_112
    | ~ spl0_39
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1983,f1018,f366,f737,f1117]) ).

fof(f1117,plain,
    ( spl0_169
  <=> c3_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f737,plain,
    ( spl0_112
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1018,plain,
    ( spl0_160
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1983,plain,
    ( c2_1(a353)
    | c3_1(a353)
    | ~ spl0_39
    | ~ spl0_160 ),
    inference(resolution,[],[f367,f1020]) ).

fof(f1020,plain,
    ( c0_1(a353)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f1984,plain,
    ( spl0_137
    | spl0_81
    | ~ spl0_39
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1977,f1190,f366,f566,f874]) ).

fof(f874,plain,
    ( spl0_137
  <=> c3_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f566,plain,
    ( spl0_81
  <=> c2_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1190,plain,
    ( spl0_173
  <=> c0_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1977,plain,
    ( c2_1(a388)
    | c3_1(a388)
    | ~ spl0_39
    | ~ spl0_173 ),
    inference(resolution,[],[f367,f1191]) ).

fof(f1191,plain,
    ( c0_1(a388)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f1891,plain,
    ( spl0_134
    | spl0_91
    | ~ spl0_106
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1816,f1040,f704,f620,f857]) ).

fof(f857,plain,
    ( spl0_134
  <=> c3_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f620,plain,
    ( spl0_91
  <=> c1_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1040,plain,
    ( spl0_163
  <=> c0_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1816,plain,
    ( c1_1(a379)
    | c3_1(a379)
    | ~ spl0_106
    | ~ spl0_163 ),
    inference(resolution,[],[f705,f1042]) ).

fof(f1042,plain,
    ( c0_1(a379)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1883,plain,
    ( ~ spl0_178
    | ~ spl0_50
    | ~ spl0_59
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1878,f1023,f455,f415,f1339]) ).

fof(f1339,plain,
    ( spl0_178
  <=> c2_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f415,plain,
    ( spl0_50
  <=> c3_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f455,plain,
    ( spl0_59
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1023,plain,
    ( spl0_161
  <=> c1_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1878,plain,
    ( ~ c3_1(a373)
    | ~ c2_1(a373)
    | ~ spl0_59
    | ~ spl0_161 ),
    inference(resolution,[],[f1025,f456]) ).

fof(f456,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f1025,plain,
    ( c1_1(a373)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1882,plain,
    ( ~ spl0_149
    | ~ spl0_178
    | ~ spl0_27
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1872,f1023,f315,f1339,f953]) ).

fof(f953,plain,
    ( spl0_149
  <=> c0_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1872,plain,
    ( ~ c2_1(a373)
    | ~ c0_1(a373)
    | ~ spl0_27
    | ~ spl0_161 ),
    inference(resolution,[],[f1025,f316]) ).

fof(f1881,plain,
    ( ~ spl0_149
    | ~ spl0_50
    | ~ spl0_29
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1873,f1023,f321,f415,f953]) ).

fof(f1873,plain,
    ( ~ c3_1(a373)
    | ~ c0_1(a373)
    | ~ spl0_29
    | ~ spl0_161 ),
    inference(resolution,[],[f1025,f322]) ).

fof(f1868,plain,
    ( spl0_183
    | ~ spl0_117
    | ~ spl0_47
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1855,f838,f401,f768,f1446]) ).

fof(f1446,plain,
    ( spl0_183
  <=> c3_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f768,plain,
    ( spl0_117
  <=> c2_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f838,plain,
    ( spl0_130
  <=> c1_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1855,plain,
    ( ~ c2_1(a372)
    | c3_1(a372)
    | ~ spl0_47
    | ~ spl0_130 ),
    inference(resolution,[],[f840,f402]) ).

fof(f840,plain,
    ( c1_1(a372)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f1867,plain,
    ( ~ spl0_117
    | ~ spl0_183
    | ~ spl0_59
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1856,f838,f455,f1446,f768]) ).

fof(f1856,plain,
    ( ~ c3_1(a372)
    | ~ c2_1(a372)
    | ~ spl0_59
    | ~ spl0_130 ),
    inference(resolution,[],[f840,f456]) ).

fof(f1864,plain,
    ( ~ spl0_117
    | ~ spl0_156
    | ~ spl0_27
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1850,f838,f315,f989,f768]) ).

fof(f989,plain,
    ( spl0_156
  <=> c0_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1850,plain,
    ( ~ c0_1(a372)
    | ~ c2_1(a372)
    | ~ spl0_27
    | ~ spl0_130 ),
    inference(resolution,[],[f840,f316]) ).

fof(f1860,plain,
    ( ~ spl0_156
    | ~ spl0_183
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1851,f838,f321,f1446,f989]) ).

fof(f1851,plain,
    ( ~ c3_1(a372)
    | ~ c0_1(a372)
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(resolution,[],[f840,f322]) ).

fof(f1831,plain,
    ( spl0_188
    | spl0_120
    | ~ spl0_73
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1811,f704,f526,f783,f1729]) ).

fof(f1811,plain,
    ( c3_1(a418)
    | c1_1(a418)
    | ~ spl0_73
    | ~ spl0_106 ),
    inference(resolution,[],[f705,f528]) ).

fof(f528,plain,
    ( c0_1(a418)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f1828,plain,
    ( spl0_177
    | spl0_85
    | ~ spl0_106
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1818,f793,f704,f588,f1326]) ).

fof(f1326,plain,
    ( spl0_177
  <=> c1_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f588,plain,
    ( spl0_85
  <=> c3_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f793,plain,
    ( spl0_122
  <=> c0_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1818,plain,
    ( c3_1(a370)
    | c1_1(a370)
    | ~ spl0_106
    | ~ spl0_122 ),
    inference(resolution,[],[f705,f795]) ).

fof(f795,plain,
    ( c0_1(a370)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f1826,plain,
    ( spl0_116
    | spl0_88
    | ~ spl0_106
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1812,f947,f704,f605,f760]) ).

fof(f760,plain,
    ( spl0_116
  <=> c1_1(a417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f605,plain,
    ( spl0_88
  <=> c3_1(a417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f947,plain,
    ( spl0_148
  <=> c0_1(a417) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1812,plain,
    ( c3_1(a417)
    | c1_1(a417)
    | ~ spl0_106
    | ~ spl0_148 ),
    inference(resolution,[],[f705,f949]) ).

fof(f949,plain,
    ( c0_1(a417)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f1792,plain,
    ( ~ spl0_122
    | spl0_85
    | ~ spl0_35
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1787,f1326,f350,f588,f793]) ).

fof(f1787,plain,
    ( c3_1(a370)
    | ~ c0_1(a370)
    | ~ spl0_35
    | ~ spl0_177 ),
    inference(resolution,[],[f1328,f351]) ).

fof(f1328,plain,
    ( c1_1(a370)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f1739,plain,
    ( spl0_90
    | spl0_174
    | ~ spl0_8
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1719,f630,f239,f1199,f615]) ).

fof(f615,plain,
    ( spl0_90
  <=> c2_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f239,plain,
    ( spl0_8
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1719,plain,
    ( c1_1(a369)
    | c2_1(a369)
    | ~ spl0_8
    | ~ spl0_93 ),
    inference(resolution,[],[f240,f632]) ).

fof(f632,plain,
    ( c0_1(a369)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f240,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f1737,plain,
    ( spl0_54
    | spl0_131
    | ~ spl0_8
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1717,f542,f239,f843,f433]) ).

fof(f433,plain,
    ( spl0_54
  <=> c1_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f843,plain,
    ( spl0_131
  <=> c2_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f542,plain,
    ( spl0_76
  <=> c0_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1717,plain,
    ( c2_1(a376)
    | c1_1(a376)
    | ~ spl0_8
    | ~ spl0_76 ),
    inference(resolution,[],[f240,f544]) ).

fof(f544,plain,
    ( c0_1(a376)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f1732,plain,
    ( spl0_150
    | spl0_188
    | ~ spl0_8
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1711,f526,f239,f1729,f958]) ).

fof(f1711,plain,
    ( c1_1(a418)
    | c2_1(a418)
    | ~ spl0_8
    | ~ spl0_73 ),
    inference(resolution,[],[f240,f528]) ).

fof(f1705,plain,
    ( spl0_111
    | spl0_144
    | ~ spl0_26
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1702,f1050,f311,f919,f731]) ).

fof(f731,plain,
    ( spl0_111
  <=> c1_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f919,plain,
    ( spl0_144
  <=> c0_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

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

fof(f1050,plain,
    ( spl0_164
  <=> c3_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1702,plain,
    ( c0_1(a387)
    | c1_1(a387)
    | ~ spl0_26
    | ~ spl0_164 ),
    inference(resolution,[],[f312,f1052]) ).

fof(f1052,plain,
    ( c3_1(a387)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1050]) ).

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

fof(f1687,plain,
    ( ~ spl0_61
    | spl0_62
    | ~ spl0_43
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1682,f557,f382,f468,f463]) ).

fof(f468,plain,
    ( spl0_62
  <=> c2_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f382,plain,
    ( spl0_43
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1682,plain,
    ( c2_1(a398)
    | ~ c3_1(a398)
    | ~ spl0_43
    | ~ spl0_79 ),
    inference(resolution,[],[f559,f383]) ).

fof(f383,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1680,plain,
    ( ~ spl0_50
    | spl0_178
    | ~ spl0_43
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1671,f1023,f382,f1339,f415]) ).

fof(f1671,plain,
    ( c2_1(a373)
    | ~ c3_1(a373)
    | ~ spl0_43
    | ~ spl0_161 ),
    inference(resolution,[],[f383,f1025]) ).

fof(f1679,plain,
    ( spl0_182
    | ~ spl0_159
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1675,f597,f382,f1012,f1433]) ).

fof(f1675,plain,
    ( ~ c3_1(a357)
    | c2_1(a357)
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(resolution,[],[f383,f599]) ).

fof(f1635,plain,
    ( spl0_157
    | spl0_144
    | ~ spl0_28
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1634,f1050,f318,f919,f999]) ).

fof(f999,plain,
    ( spl0_157
  <=> c2_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1634,plain,
    ( c0_1(a387)
    | c2_1(a387)
    | ~ spl0_28
    | ~ spl0_164 ),
    inference(resolution,[],[f1052,f319]) ).

fof(f1629,plain,
    ( spl0_169
    | ~ spl0_160
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1624,f896,f350,f1018,f1117]) ).

fof(f896,plain,
    ( spl0_140
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1624,plain,
    ( ~ c0_1(a353)
    | c3_1(a353)
    | ~ spl0_35
    | ~ spl0_140 ),
    inference(resolution,[],[f898,f351]) ).

fof(f898,plain,
    ( c1_1(a353)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f1618,plain,
    ( spl0_75
    | ~ spl0_179
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1615,f516,f375,f1353,f535]) ).

fof(f535,plain,
    ( spl0_75
  <=> c1_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f375,plain,
    ( spl0_41
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1615,plain,
    ( ~ c0_1(a368)
    | c1_1(a368)
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(resolution,[],[f518,f376]) ).

fof(f376,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f518,plain,
    ( c2_1(a368)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f1614,plain,
    ( spl0_146
    | spl0_168
    | ~ spl0_10
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1598,f667,f245,f1079,f934]) ).

fof(f245,plain,
    ( spl0_10
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f667,plain,
    ( spl0_99
  <=> c1_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1598,plain,
    ( c2_1(a380)
    | c3_1(a380)
    | ~ spl0_10
    | ~ spl0_99 ),
    inference(resolution,[],[f669,f246]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f669,plain,
    ( c1_1(a380)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f1610,plain,
    ( ~ spl0_168
    | ~ spl0_109
    | ~ spl0_27
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1600,f667,f315,f720,f1079]) ).

fof(f1600,plain,
    ( ~ c0_1(a380)
    | ~ c2_1(a380)
    | ~ spl0_27
    | ~ spl0_99 ),
    inference(resolution,[],[f669,f316]) ).

fof(f1609,plain,
    ( ~ spl0_104
    | spl0_176
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1606,f811,f375,f1308,f692]) ).

fof(f811,plain,
    ( spl0_125
  <=> c2_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1606,plain,
    ( c1_1(a410)
    | ~ c0_1(a410)
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(resolution,[],[f376,f813]) ).

fof(f813,plain,
    ( c2_1(a410)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f1551,plain,
    ( spl0_164
    | spl0_157
    | ~ spl0_86
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1530,f731,f593,f999,f1050]) ).

fof(f593,plain,
    ( spl0_86
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1530,plain,
    ( c2_1(a387)
    | c3_1(a387)
    | ~ spl0_86
    | spl0_111 ),
    inference(resolution,[],[f594,f733]) ).

fof(f733,plain,
    ( ~ c1_1(a387)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f594,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f1550,plain,
    ( spl0_126
    | spl0_142
    | ~ spl0_86
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1531,f683,f593,f906,f816]) ).

fof(f1531,plain,
    ( c2_1(a360)
    | c3_1(a360)
    | ~ spl0_86
    | spl0_102 ),
    inference(resolution,[],[f594,f685]) ).

fof(f685,plain,
    ( ~ c1_1(a360)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1485,plain,
    ( ~ spl0_163
    | spl0_134
    | ~ spl0_15
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1471,f649,f267,f857,f1040]) ).

fof(f649,plain,
    ( spl0_97
  <=> c2_1(a379) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1471,plain,
    ( c3_1(a379)
    | ~ c0_1(a379)
    | ~ spl0_15
    | ~ spl0_97 ),
    inference(resolution,[],[f268,f651]) ).

fof(f651,plain,
    ( c2_1(a379)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f1483,plain,
    ( ~ spl0_156
    | spl0_183
    | ~ spl0_15
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1468,f768,f267,f1446,f989]) ).

fof(f1468,plain,
    ( c3_1(a372)
    | ~ c0_1(a372)
    | ~ spl0_15
    | ~ spl0_117 ),
    inference(resolution,[],[f268,f770]) ).

fof(f770,plain,
    ( c2_1(a372)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1482,plain,
    ( ~ spl0_109
    | spl0_146
    | ~ spl0_15
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1470,f1079,f267,f934,f720]) ).

fof(f1470,plain,
    ( c3_1(a380)
    | ~ c0_1(a380)
    | ~ spl0_15
    | ~ spl0_168 ),
    inference(resolution,[],[f268,f1081]) ).

fof(f1081,plain,
    ( c2_1(a380)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1481,plain,
    ( ~ spl0_122
    | spl0_85
    | ~ spl0_15
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1472,f974,f267,f588,f793]) ).

fof(f974,plain,
    ( spl0_153
  <=> c2_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1472,plain,
    ( c3_1(a370)
    | ~ c0_1(a370)
    | ~ spl0_15
    | ~ spl0_153 ),
    inference(resolution,[],[f268,f976]) ).

fof(f976,plain,
    ( c2_1(a370)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f1455,plain,
    ( spl0_52
    | spl0_114
    | ~ spl0_42
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1451,f969,f378,f748,f424]) ).

fof(f424,plain,
    ( spl0_52
  <=> c3_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f748,plain,
    ( spl0_114
  <=> c0_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f378,plain,
    ( spl0_42
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f969,plain,
    ( spl0_152
  <=> c1_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1451,plain,
    ( c0_1(a399)
    | c3_1(a399)
    | ~ spl0_42
    | ~ spl0_152 ),
    inference(resolution,[],[f971,f379]) ).

fof(f379,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f971,plain,
    ( c1_1(a399)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f1436,plain,
    ( ~ spl0_182
    | ~ spl0_159
    | ~ spl0_59
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1429,f597,f455,f1012,f1433]) ).

fof(f1429,plain,
    ( ~ c3_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_59
    | ~ spl0_87 ),
    inference(resolution,[],[f599,f456]) ).

fof(f1431,plain,
    ( ~ spl0_159
    | spl0_110
    | ~ spl0_16
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1430,f597,f270,f726,f1012]) ).

fof(f270,plain,
    ( spl0_16
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1430,plain,
    ( c0_1(a357)
    | ~ c3_1(a357)
    | ~ spl0_16
    | ~ spl0_87 ),
    inference(resolution,[],[f599,f271]) ).

fof(f271,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f1413,plain,
    ( ~ spl0_115
    | ~ spl0_125
    | ~ spl0_59
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1313,f1308,f455,f811,f754]) ).

fof(f1313,plain,
    ( ~ c2_1(a410)
    | ~ c3_1(a410)
    | ~ spl0_59
    | ~ spl0_176 ),
    inference(resolution,[],[f1310,f456]) ).

fof(f1310,plain,
    ( c1_1(a410)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f1403,plain,
    ( spl0_91
    | spl0_163
    | ~ spl0_84
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1393,f649,f584,f1040,f620]) ).

fof(f584,plain,
    ( spl0_84
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1393,plain,
    ( c0_1(a379)
    | c1_1(a379)
    | ~ spl0_84
    | ~ spl0_97 ),
    inference(resolution,[],[f585,f651]) ).

fof(f585,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f1400,plain,
    ( spl0_75
    | spl0_179
    | ~ spl0_71
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1395,f584,f516,f1353,f535]) ).

fof(f1395,plain,
    ( c0_1(a368)
    | c1_1(a368)
    | ~ spl0_71
    | ~ spl0_84 ),
    inference(resolution,[],[f585,f518]) ).

fof(f1389,plain,
    ( spl0_75
    | ~ spl0_71
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1383,f848,f459,f516,f535]) ).

fof(f459,plain,
    ( spl0_60
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1383,plain,
    ( ~ c2_1(a368)
    | c1_1(a368)
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(resolution,[],[f460,f850]) ).

fof(f460,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f1356,plain,
    ( ~ spl0_179
    | ~ spl0_71
    | ~ spl0_22
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1349,f848,f294,f516,f1353]) ).

fof(f294,plain,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1349,plain,
    ( ~ c2_1(a368)
    | ~ c0_1(a368)
    | ~ spl0_22
    | ~ spl0_132 ),
    inference(resolution,[],[f850,f295]) ).

fof(f295,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f1334,plain,
    ( ~ spl0_172
    | ~ spl0_24
    | ~ spl0_59
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1273,f869,f455,f302,f1174]) ).

fof(f1174,plain,
    ( spl0_172
  <=> c3_1(a397) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f302,plain,
    ( spl0_24
  <=> c2_1(a397) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f869,plain,
    ( spl0_136
  <=> c1_1(a397) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1273,plain,
    ( ~ c2_1(a397)
    | ~ c3_1(a397)
    | ~ spl0_59
    | ~ spl0_136 ),
    inference(resolution,[],[f456,f871]) ).

fof(f871,plain,
    ( c1_1(a397)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f1330,plain,
    ( spl0_155
    | ~ spl0_44
    | ~ spl0_41
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1323,f552,f375,f386,f984]) ).

fof(f984,plain,
    ( spl0_155
  <=> c1_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f386,plain,
    ( spl0_44
  <=> c0_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f552,plain,
    ( spl0_78
  <=> c2_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1323,plain,
    ( ~ c0_1(a356)
    | c1_1(a356)
    | ~ spl0_41
    | ~ spl0_78 ),
    inference(resolution,[],[f376,f554]) ).

fof(f554,plain,
    ( c2_1(a356)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f1306,plain,
    ( ~ spl0_125
    | ~ spl0_104
    | ~ spl0_22
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1298,f754,f294,f692,f811]) ).

fof(f1298,plain,
    ( ~ c0_1(a410)
    | ~ c2_1(a410)
    | ~ spl0_22
    | ~ spl0_115 ),
    inference(resolution,[],[f295,f756]) ).

fof(f1297,plain,
    ( spl0_171
    | spl0_154
    | ~ spl0_10
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1288,f644,f245,f979,f1153]) ).

fof(f1288,plain,
    ( c2_1(a395)
    | c3_1(a395)
    | ~ spl0_10
    | ~ spl0_96 ),
    inference(resolution,[],[f246,f646]) ).

fof(f1283,plain,
    ( ~ spl0_121
    | ~ spl0_64
    | ~ spl0_59
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1272,f742,f455,f479,f788]) ).

fof(f1272,plain,
    ( ~ c3_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_59
    | ~ spl0_113 ),
    inference(resolution,[],[f456,f744]) ).

fof(f1260,plain,
    ( spl0_112
    | ~ spl0_169
    | ~ spl0_43
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1254,f896,f382,f1117,f737]) ).

fof(f1254,plain,
    ( ~ c3_1(a353)
    | c2_1(a353)
    | ~ spl0_43
    | ~ spl0_140 ),
    inference(resolution,[],[f383,f898]) ).

fof(f1258,plain,
    ( spl0_90
    | ~ spl0_18
    | ~ spl0_43
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1251,f1199,f382,f277,f615]) ).

fof(f1251,plain,
    ( ~ c3_1(a369)
    | c2_1(a369)
    | ~ spl0_43
    | ~ spl0_174 ),
    inference(resolution,[],[f383,f1201]) ).

fof(f1201,plain,
    ( c1_1(a369)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1239,plain,
    ( ~ spl0_64
    | spl0_175
    | ~ spl0_16
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1238,f742,f270,f1234,f479]) ).

fof(f1238,plain,
    ( c0_1(a365)
    | ~ c3_1(a365)
    | ~ spl0_16
    | ~ spl0_113 ),
    inference(resolution,[],[f744,f271]) ).

fof(f1237,plain,
    ( ~ spl0_121
    | ~ spl0_175
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1231,f479,f294,f1234,f788]) ).

fof(f1231,plain,
    ( ~ c0_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(resolution,[],[f481,f295]) ).

fof(f1229,plain,
    ( spl0_171
    | spl0_98
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1218,f644,f378,f655,f1153]) ).

fof(f1218,plain,
    ( c0_1(a395)
    | c3_1(a395)
    | ~ spl0_42
    | ~ spl0_96 ),
    inference(resolution,[],[f379,f646]) ).

fof(f1228,plain,
    ( spl0_173
    | spl0_137
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1219,f799,f378,f874,f1190]) ).

fof(f799,plain,
    ( spl0_123
  <=> c1_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1219,plain,
    ( c3_1(a388)
    | c0_1(a388)
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(resolution,[],[f379,f801]) ).

fof(f801,plain,
    ( c1_1(a388)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f1227,plain,
    ( spl0_92
    | spl0_172
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1217,f869,f378,f1174,f625]) ).

fof(f625,plain,
    ( spl0_92
  <=> c0_1(a397) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1217,plain,
    ( c3_1(a397)
    | c0_1(a397)
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(resolution,[],[f379,f871]) ).

fof(f1226,plain,
    ( spl0_65
    | spl0_162
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1222,f827,f378,f1034,f486]) ).

fof(f1222,plain,
    ( c0_1(a363)
    | c3_1(a363)
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(resolution,[],[f379,f829]) ).

fof(f1213,plain,
    ( spl0_142
    | spl0_126
    | ~ spl0_39
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1212,f1055,f366,f816,f906]) ).

fof(f1212,plain,
    ( c3_1(a360)
    | c2_1(a360)
    | ~ spl0_39
    | ~ spl0_165 ),
    inference(resolution,[],[f367,f1057]) ).

fof(f1202,plain,
    ( spl0_90
    | spl0_174
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1197,f277,f273,f1199,f615]) ).

fof(f1197,plain,
    ( c1_1(a369)
    | c2_1(a369)
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(resolution,[],[f279,f274]) ).

fof(f1194,plain,
    ( ~ spl0_109
    | spl0_146
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1182,f667,f350,f934,f720]) ).

fof(f1182,plain,
    ( c3_1(a380)
    | ~ c0_1(a380)
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(resolution,[],[f351,f669]) ).

fof(f1188,plain,
    ( ~ spl0_162
    | spl0_65
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1183,f827,f350,f486,f1034]) ).

fof(f1183,plain,
    ( c3_1(a363)
    | ~ c0_1(a363)
    | ~ spl0_35
    | ~ spl0_128 ),
    inference(resolution,[],[f351,f829]) ).

fof(f1177,plain,
    ( ~ spl0_172
    | spl0_92
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1172,f869,f270,f625,f1174]) ).

fof(f1172,plain,
    ( c0_1(a397)
    | ~ c3_1(a397)
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(resolution,[],[f871,f271]) ).

fof(f1169,plain,
    ( ~ spl0_160
    | ~ spl0_169
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1167,f896,f321,f1117,f1018]) ).

fof(f1167,plain,
    ( ~ c3_1(a353)
    | ~ c0_1(a353)
    | ~ spl0_29
    | ~ spl0_140 ),
    inference(resolution,[],[f322,f898]) ).

fof(f1131,plain,
    ( spl0_81
    | spl0_137
    | ~ spl0_10
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1130,f799,f245,f874,f566]) ).

fof(f1130,plain,
    ( c3_1(a388)
    | c2_1(a388)
    | ~ spl0_10
    | ~ spl0_123 ),
    inference(resolution,[],[f801,f246]) ).

fof(f1127,plain,
    ( ~ spl0_63
    | ~ spl0_162
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1124,f827,f315,f1034,f474]) ).

fof(f1124,plain,
    ( ~ c0_1(a363)
    | ~ c2_1(a363)
    | ~ spl0_27
    | ~ spl0_128 ),
    inference(resolution,[],[f316,f829]) ).

fof(f1120,plain,
    ( spl0_112
    | spl0_169
    | ~ spl0_10
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1115,f896,f245,f1117,f737]) ).

fof(f1115,plain,
    ( c3_1(a353)
    | c2_1(a353)
    | ~ spl0_10
    | ~ spl0_140 ),
    inference(resolution,[],[f898,f246]) ).

fof(f1096,plain,
    ( spl0_133
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1092,f286,f245,f853]) ).

fof(f286,plain,
    ( spl0_20
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1092,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f1087]) ).

fof(f1087,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(resolution,[],[f287,f246]) ).

fof(f287,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1095,plain,
    ( spl0_142
    | spl0_165
    | ~ spl0_20
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1091,f683,f286,f1055,f906]) ).

fof(f1091,plain,
    ( c0_1(a360)
    | c2_1(a360)
    | ~ spl0_20
    | spl0_102 ),
    inference(resolution,[],[f287,f685]) ).

fof(f1094,plain,
    ( spl0_157
    | spl0_144
    | ~ spl0_20
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1090,f731,f286,f919,f999]) ).

fof(f1090,plain,
    ( c0_1(a387)
    | c2_1(a387)
    | ~ spl0_20
    | spl0_111 ),
    inference(resolution,[],[f287,f733]) ).

fof(f1073,plain,
    ( ~ spl0_61
    | spl0_167
    | ~ spl0_16
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1067,f557,f270,f1070,f463]) ).

fof(f1067,plain,
    ( c0_1(a398)
    | ~ c3_1(a398)
    | ~ spl0_16
    | ~ spl0_79 ),
    inference(resolution,[],[f559,f271]) ).

fof(f1058,plain,
    ( spl0_165
    | spl0_126
    | ~ spl0_9
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1047,f683,f242,f816,f1055]) ).

fof(f1047,plain,
    ( c3_1(a360)
    | c0_1(a360)
    | ~ spl0_9
    | spl0_102 ),
    inference(resolution,[],[f243,f685]) ).

fof(f1053,plain,
    ( spl0_144
    | spl0_164
    | ~ spl0_9
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1046,f731,f242,f1050,f919]) ).

fof(f1046,plain,
    ( c3_1(a387)
    | c0_1(a387)
    | ~ spl0_9
    | spl0_111 ),
    inference(resolution,[],[f243,f733]) ).

fof(f1048,plain,
    ( spl0_134
    | spl0_163
    | ~ spl0_9
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1044,f620,f242,f1040,f857]) ).

fof(f1044,plain,
    ( c0_1(a379)
    | c3_1(a379)
    | ~ spl0_9
    | spl0_91 ),
    inference(resolution,[],[f243,f622]) ).

fof(f622,plain,
    ( ~ c1_1(a379)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1043,plain,
    ( spl0_134
    | spl0_163
    | ~ spl0_6
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1029,f649,f231,f1040,f857]) ).

fof(f1029,plain,
    ( c0_1(a379)
    | c3_1(a379)
    | ~ spl0_6
    | ~ spl0_97 ),
    inference(resolution,[],[f232,f651]) ).

fof(f232,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f1038,plain,
    ( spl0_11
    | spl0_135
    | ~ spl0_6
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1032,f506,f231,f864,f249]) ).

fof(f249,plain,
    ( spl0_11
  <=> c3_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f864,plain,
    ( spl0_135
  <=> c0_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f506,plain,
    ( spl0_69
  <=> c2_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1032,plain,
    ( c0_1(a358)
    | c3_1(a358)
    | ~ spl0_6
    | ~ spl0_69 ),
    inference(resolution,[],[f232,f508]) ).

fof(f508,plain,
    ( c2_1(a358)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1037,plain,
    ( spl0_162
    | spl0_65
    | ~ spl0_6
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1031,f474,f231,f486,f1034]) ).

fof(f1031,plain,
    ( c3_1(a363)
    | c0_1(a363)
    | ~ spl0_6
    | ~ spl0_63 ),
    inference(resolution,[],[f232,f476]) ).

fof(f1027,plain,
    ( ~ spl0_5
    | spl0_106
    | spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f174,f378,f289,f704,f227]) ).

fof(f227,plain,
    ( spl0_5
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f289,plain,
    ( spl0_21
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp3
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f1026,plain,
    ( ~ spl0_51
    | spl0_161 ),
    inference(avatar_split_clause,[],[f45,f1023,f419]) ).

fof(f419,plain,
    ( spl0_51
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f45,axiom,
    ( c1_1(a373)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f1021,plain,
    ( spl0_160
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f87,f335,f1018]) ).

fof(f335,plain,
    ( spl0_32
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f87,axiom,
    ( ~ hskp0
    | c0_1(a353) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f1015,plain,
    ( spl0_159
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f82,f289,f1012]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c3_1(a357) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f1010,plain,
    ( ~ spl0_40
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f130,f1007,f370]) ).

fof(f370,plain,
    ( spl0_40
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f130,axiom,
    ( ~ c3_1(a359)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f1005,plain,
    ( spl0_5
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f32,f501,f227]) ).

fof(f501,plain,
    ( spl0_68
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f32,axiom,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f1002,plain,
    ( ~ spl0_157
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f104,f223,f999]) ).

fof(f223,plain,
    ( spl0_4
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f104,axiom,
    ( ~ hskp19
    | ~ c2_1(a387) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f997,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_22
    | spl0_15 ),
    inference(avatar_split_clause,[],[f197,f267,f294,f227,f214]) ).

fof(f214,plain,
    ( spl0_2
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f197,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp16
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f996,plain,
    ( ~ spl0_5
    | spl0_36
    | spl0_28 ),
    inference(avatar_split_clause,[],[f139,f318,f353,f227]) ).

fof(f353,plain,
    ( spl0_36
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f139,axiom,
    ! [X0] :
      ( c0_1(X0)
      | hskp17
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f994,plain,
    ( spl0_12
    | spl0_42
    | spl0_101
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f172,f227,f679,f378,f253]) ).

fof(f253,plain,
    ( spl0_12
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | hskp4
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f992,plain,
    ( ~ spl0_77
    | spl0_156 ),
    inference(avatar_split_clause,[],[f47,f989,f547]) ).

fof(f547,plain,
    ( spl0_77
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f47,axiom,
    ( c0_1(a372)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f987,plain,
    ( ~ spl0_38
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f134,f984,f362]) ).

fof(f362,plain,
    ( spl0_38
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f134,axiom,
    ( ~ c1_1(a356)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f982,plain,
    ( ~ spl0_72
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f99,f979,f521]) ).

fof(f521,plain,
    ( spl0_72
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f99,axiom,
    ( ~ c2_1(a395)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f977,plain,
    ( ~ spl0_46
    | spl0_153 ),
    inference(avatar_split_clause,[],[f71,f974,f396]) ).

fof(f396,plain,
    ( spl0_46
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f71,axiom,
    ( c2_1(a370)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f972,plain,
    ( spl0_152
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f57,f428,f969]) ).

fof(f428,plain,
    ( spl0_53
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f57,axiom,
    ( ~ hskp24
    | c1_1(a399) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f966,plain,
    ( ~ spl0_5
    | spl0_43
    | spl0_151
    | spl0_10 ),
    inference(avatar_split_clause,[],[f205,f245,f964,f382,f227]) ).

fof(f205,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f961,plain,
    ( ~ spl0_150
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f90,f530,f958]) ).

fof(f530,plain,
    ( spl0_74
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c2_1(a418) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f956,plain,
    ( spl0_149
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f44,f419,f953]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c0_1(a373) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f950,plain,
    ( spl0_148
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f56,f358,f947]) ).

fof(f358,plain,
    ( spl0_37
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f56,axiom,
    ( ~ hskp25
    | c0_1(a417) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f945,plain,
    ( ~ spl0_147
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f128,f370,f942]) ).

fof(f128,axiom,
    ( ~ hskp5
    | ~ c0_1(a359) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f939,plain,
    ( spl0_3
    | spl0_37
    | spl0_25 ),
    inference(avatar_split_clause,[],[f38,f307,f358,f218]) ).

fof(f218,plain,
    ( spl0_3
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f307,plain,
    ( spl0_25
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f38,axiom,
    ( hskp8
    | hskp25
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f937,plain,
    ( ~ spl0_36
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f107,f934,f353]) ).

fof(f107,axiom,
    ( ~ c3_1(a380)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f927,plain,
    ( ~ spl0_5
    | spl0_27
    | spl0_38
    | spl0_20 ),
    inference(avatar_split_clause,[],[f176,f286,f362,f315,f227]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c1_1(X1)
      | hskp2
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f926,plain,
    ( spl0_4
    | spl0_106
    | spl0_21
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f150,f227,f289,f704,f223]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | c3_1(X0)
      | hskp19
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f923,plain,
    ( ~ spl0_5
    | spl0_34
    | spl0_28
    | spl0_9 ),
    inference(avatar_split_clause,[],[f168,f242,f318,f345,f227]) ).

fof(f345,plain,
    ( spl0_34
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | hskp7
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f922,plain,
    ( ~ spl0_144
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f102,f223,f919]) ).

fof(f102,axiom,
    ( ~ hskp19
    | ~ c0_1(a387) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f917,plain,
    ( ~ spl0_5
    | spl0_2
    | spl0_106
    | spl0_47 ),
    inference(avatar_split_clause,[],[f185,f401,f704,f214,f227]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | hskp16
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f915,plain,
    ( ~ spl0_5
    | spl0_43
    | spl0_101
    | spl0_105 ),
    inference(avatar_split_clause,[],[f202,f697,f679,f382,f227]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X1)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f914,plain,
    ( ~ spl0_95
    | spl0_143 ),
    inference(avatar_split_clause,[],[f76,f911,f639]) ).

fof(f639,plain,
    ( spl0_95
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f76,axiom,
    ( c2_1(a364)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f909,plain,
    ( ~ spl0_48
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f126,f906,f405]) ).

fof(f405,plain,
    ( spl0_48
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f126,axiom,
    ( ~ c2_1(a360)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f900,plain,
    ( spl0_48
    | ~ spl0_5
    | spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f198,f455,f267,f227,f405]) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp6
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f899,plain,
    ( spl0_140
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f88,f335,f896]) ).

fof(f88,axiom,
    ( ~ hskp0
    | c1_1(a353) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f894,plain,
    ( spl0_3
    | ~ spl0_5
    | spl0_59 ),
    inference(avatar_split_clause,[],[f160,f455,f227,f218]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f893,plain,
    ( spl0_48
    | ~ spl0_5
    | spl0_84
    | spl0_58 ),
    inference(avatar_split_clause,[],[f177,f452,f584,f227,f405]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f891,plain,
    ( ~ spl0_5
    | spl0_46
    | spl0_133
    | spl0_59 ),
    inference(avatar_split_clause,[],[f179,f455,f853,f396,f227]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | hskp13
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f889,plain,
    ( ~ spl0_31
    | spl0_139 ),
    inference(avatar_split_clause,[],[f64,f886,f329]) ).

fof(f329,plain,
    ( spl0_31
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f64,axiom,
    ( c3_1(a382)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f878,plain,
    ( spl0_31
    | spl0_48
    | spl0_72 ),
    inference(avatar_split_clause,[],[f39,f521,f405,f329]) ).

fof(f39,axiom,
    ( hskp21
    | hskp6
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f877,plain,
    ( ~ spl0_137
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f101,f562,f874]) ).

fof(f562,plain,
    ( spl0_80
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f101,axiom,
    ( ~ hskp20
    | ~ c3_1(a388) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f872,plain,
    ( ~ spl0_23
    | spl0_136 ),
    inference(avatar_split_clause,[],[f60,f869,f298]) ).

fof(f298,plain,
    ( spl0_23
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f60,axiom,
    ( c1_1(a397)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f867,plain,
    ( ~ spl0_12
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f131,f864,f253]) ).

fof(f131,axiom,
    ( ~ c0_1(a358)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f862,plain,
    ( ~ spl0_5
    | spl0_74
    | spl0_39 ),
    inference(avatar_split_clause,[],[f140,f366,f530,f227]) ).

fof(f140,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c2_1(X0)
      | hskp26
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f861,plain,
    ( spl0_84
    | ~ spl0_5
    | spl0_9
    | spl0_20 ),
    inference(avatar_split_clause,[],[f194,f286,f242,f227,f584]) ).

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

fof(f860,plain,
    ( ~ spl0_2
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f109,f857,f214]) ).

fof(f109,axiom,
    ( ~ c3_1(a379)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f855,plain,
    ( spl0_19
    | ~ spl0_5
    | spl0_10
    | spl0_133 ),
    inference(avatar_split_clause,[],[f169,f853,f245,f227,f281]) ).

fof(f281,plain,
    ( spl0_19
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp12
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f851,plain,
    ( ~ spl0_3
    | spl0_132 ),
    inference(avatar_split_clause,[],[f75,f848,f218]) ).

fof(f75,axiom,
    ( c3_1(a368)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f846,plain,
    ( ~ spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f111,f210,f843]) ).

fof(f210,plain,
    ( spl0_1
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f111,axiom,
    ( ~ hskp15
    | ~ c2_1(a376) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f841,plain,
    ( ~ spl0_77
    | spl0_130 ),
    inference(avatar_split_clause,[],[f48,f838,f547]) ).

fof(f48,axiom,
    ( c1_1(a372)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f836,plain,
    ( spl0_16
    | ~ spl0_5
    | spl0_80
    | spl0_86 ),
    inference(avatar_split_clause,[],[f175,f593,f562,f227,f270]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c2_1(X1)
      | hskp20
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f835,plain,
    ( ~ spl0_70
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f117,f832,f511]) ).

fof(f511,plain,
    ( spl0_70
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f117,axiom,
    ( ~ c0_1(a366)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f830,plain,
    ( ~ spl0_25
    | spl0_128 ),
    inference(avatar_split_clause,[],[f77,f827,f307]) ).

fof(f77,axiom,
    ( c1_1(a363)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f825,plain,
    ( ~ spl0_70
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f118,f822,f511]) ).

fof(f118,axiom,
    ( ~ c2_1(a366)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f819,plain,
    ( ~ spl0_126
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f127,f405,f816]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c3_1(a360) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f814,plain,
    ( ~ spl0_103
    | spl0_125 ),
    inference(avatar_split_clause,[],[f42,f811,f688]) ).

fof(f688,plain,
    ( spl0_103
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f42,axiom,
    ( c2_1(a410)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f809,plain,
    ( spl0_36
    | ~ spl0_5
    | spl0_59
    | spl0_16 ),
    inference(avatar_split_clause,[],[f195,f270,f455,f227,f353]) ).

fof(f195,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | hskp17
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f807,plain,
    ( ~ spl0_5
    | spl0_57
    | spl0_124
    | spl0_17 ),
    inference(avatar_split_clause,[],[f184,f273,f804,f447,f227]) ).

fof(f447,plain,
    ( spl0_57
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | hskp23
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f806,plain,
    ( spl0_103
    | ~ spl0_5
    | spl0_39
    | spl0_124 ),
    inference(avatar_split_clause,[],[f186,f804,f366,f227,f688]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | hskp31
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f802,plain,
    ( ~ spl0_80
    | spl0_123 ),
    inference(avatar_split_clause,[],[f63,f799,f562]) ).

fof(f63,axiom,
    ( c1_1(a388)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f796,plain,
    ( spl0_122
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f70,f396,f793]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c0_1(a370) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f791,plain,
    ( spl0_121
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f51,f234,f788]) ).

fof(f234,plain,
    ( spl0_7
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f51,axiom,
    ( ~ hskp28
    | c2_1(a365) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f786,plain,
    ( ~ spl0_74
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f91,f783,f530]) ).

fof(f91,axiom,
    ( ~ c3_1(a418)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f781,plain,
    ( ~ spl0_34
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f123,f778,f345]) ).

fof(f123,axiom,
    ( ~ c1_1(a361)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f776,plain,
    ( ~ spl0_34
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f124,f773,f345]) ).

fof(f124,axiom,
    ( ~ c2_1(a361)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f771,plain,
    ( spl0_117
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f49,f547,f768]) ).

fof(f49,axiom,
    ( ~ hskp29
    | c2_1(a372) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f765,plain,
    ( ~ spl0_5
    | spl0_39
    | spl0_15
    | spl0_103 ),
    inference(avatar_split_clause,[],[f187,f688,f267,f366,f227]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( hskp31
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f764,plain,
    ( ~ spl0_5
    | spl0_25
    | spl0_19
    | spl0_41 ),
    inference(avatar_split_clause,[],[f154,f375,f281,f307,f227]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp12
      | ~ c0_1(X0)
      | hskp8
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f763,plain,
    ( ~ spl0_37
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f92,f760,f358]) ).

fof(f92,axiom,
    ( ~ c1_1(a417)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f758,plain,
    ( spl0_40
    | ~ spl0_5
    | spl0_48
    | spl0_20 ),
    inference(avatar_split_clause,[],[f138,f286,f405,f227,f370]) ).

fof(f138,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c0_1(X0)
      | hskp6
      | ~ ndr1_0
      | c2_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f757,plain,
    ( spl0_115
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f43,f688,f754]) ).

fof(f43,axiom,
    ( ~ hskp31
    | c3_1(a410) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f752,plain,
    ( ~ spl0_5
    | spl0_84
    | spl0_25
    | spl0_43 ),
    inference(avatar_split_clause,[],[f178,f382,f307,f584,f227]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | hskp8
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f751,plain,
    ( ~ spl0_53
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f94,f748,f428]) ).

fof(f94,axiom,
    ( ~ c0_1(a399)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f745,plain,
    ( ~ spl0_7
    | spl0_113 ),
    inference(avatar_split_clause,[],[f50,f742,f234]) ).

fof(f50,axiom,
    ( c1_1(a365)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f740,plain,
    ( ~ spl0_32
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f136,f737,f335]) ).

fof(f136,axiom,
    ( ~ c2_1(a353)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f735,plain,
    ( spl0_23
    | ~ spl0_5
    | spl0_80
    | spl0_27 ),
    inference(avatar_split_clause,[],[f161,f315,f562,f227,f298]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | hskp20
      | ~ ndr1_0
      | hskp22
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f734,plain,
    ( ~ spl0_4
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f103,f731,f223]) ).

fof(f103,axiom,
    ( ~ c1_1(a387)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f729,plain,
    ( ~ spl0_110
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f133,f289,f726]) ).

fof(f133,axiom,
    ( ~ hskp3
    | ~ c0_1(a357) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f724,plain,
    ( spl0_12
    | ~ spl0_5
    | spl0_22
    | spl0_28 ),
    inference(avatar_split_clause,[],[f190,f318,f294,f227,f253]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | hskp4
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f723,plain,
    ( ~ spl0_36
    | spl0_109 ),
    inference(avatar_split_clause,[],[f65,f720,f353]) ).

fof(f65,axiom,
    ( c0_1(a380)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f713,plain,
    ( spl0_53
    | ~ spl0_5
    | spl0_59
    | spl0_70 ),
    inference(avatar_split_clause,[],[f165,f511,f455,f227,f428]) ).

fof(f165,axiom,
    ! [X0] :
      ( hskp10
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f711,plain,
    ( ~ spl0_95
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f121,f708,f639]) ).

fof(f121,axiom,
    ( ~ c1_1(a364)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f706,plain,
    ( spl0_106
    | spl0_25
    | ~ spl0_5
    | spl0_77 ),
    inference(avatar_split_clause,[],[f149,f547,f227,f307,f704]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp29
      | ~ ndr1_0
      | hskp8
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f702,plain,
    ( ~ spl0_5
    | spl0_12
    | spl0_72
    | spl0_58 ),
    inference(avatar_split_clause,[],[f153,f452,f521,f253,f227]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp21
      | c0_1(X0)
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f699,plain,
    ( ~ spl0_5
    | spl0_32
    | spl0_20
    | spl0_105 ),
    inference(avatar_split_clause,[],[f170,f697,f286,f335,f227]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | hskp0
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f695,plain,
    ( ~ spl0_103
    | spl0_104 ),
    inference(avatar_split_clause,[],[f41,f692,f688]) ).

fof(f41,axiom,
    ( c0_1(a410)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f686,plain,
    ( ~ spl0_102
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f125,f405,f683]) ).

fof(f125,axiom,
    ( ~ hskp6
    | ~ c1_1(a360) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f677,plain,
    ( ~ spl0_5
    | spl0_59
    | spl0_15
    | spl0_6 ),
    inference(avatar_split_clause,[],[f206,f231,f267,f455,f227]) ).

fof(f206,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

fof(f676,plain,
    ( ~ spl0_40
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f129,f673,f370]) ).

fof(f129,axiom,
    ( ~ c1_1(a359)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f670,plain,
    ( spl0_99
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f66,f353,f667]) ).

fof(f66,axiom,
    ( ~ hskp17
    | c1_1(a380) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f662,plain,
    ( spl0_95
    | ~ spl0_5
    | spl0_84
    | spl0_27 ),
    inference(avatar_split_clause,[],[f188,f315,f584,f227,f639]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c1_1(X1)
      | hskp9
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f661,plain,
    ( spl0_19
    | spl0_77
    | ~ spl0_5
    | spl0_35 ),
    inference(avatar_split_clause,[],[f158,f350,f227,f547,f281]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp29
      | ~ c1_1(X0)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f660,plain,
    ( spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f22,f218,f227]) ).

fof(f22,axiom,
    ( ~ hskp11
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f658,plain,
    ( ~ spl0_98
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f98,f521,f655]) ).

fof(f98,axiom,
    ( ~ hskp21
    | ~ c0_1(a395) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f653,plain,
    ( spl0_3
    | spl0_36
    | spl0_68 ),
    inference(avatar_split_clause,[],[f35,f501,f353,f218]) ).

fof(f35,axiom,
    ( hskp1
    | hskp17
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f652,plain,
    ( spl0_97
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f67,f214,f649]) ).

fof(f67,axiom,
    ( ~ hskp16
    | c2_1(a379) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f647,plain,
    ( ~ spl0_72
    | spl0_96 ),
    inference(avatar_split_clause,[],[f62,f644,f521]) ).

fof(f62,axiom,
    ( c1_1(a395)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f642,plain,
    ( ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f120,f639,f635]) ).

fof(f120,axiom,
    ( ~ hskp9
    | ~ c0_1(a364) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f633,plain,
    ( spl0_93
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f72,f281,f630]) ).

fof(f72,axiom,
    ( ~ hskp12
    | c0_1(a369) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f628,plain,
    ( ~ spl0_92
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f97,f298,f625]) ).

fof(f97,axiom,
    ( ~ hskp22
    | ~ c0_1(a397) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f623,plain,
    ( ~ spl0_2
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f108,f620,f214]) ).

fof(f108,axiom,
    ( ~ c1_1(a379)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f618,plain,
    ( ~ spl0_90
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f115,f281,f615]) ).

fof(f115,axiom,
    ( ~ hskp12
    | ~ c2_1(a369) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f613,plain,
    ( spl0_89
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f86,f501,f610]) ).

fof(f86,axiom,
    ( ~ hskp1
    | c3_1(a355) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f608,plain,
    ( ~ spl0_88
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f93,f358,f605]) ).

fof(f93,axiom,
    ( ~ hskp25
    | ~ c3_1(a417) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f602,plain,
    ( spl0_70
    | spl0_22
    | spl0_77
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f163,f227,f547,f294,f511]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | hskp10
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f601,plain,
    ( ~ spl0_5
    | spl0_58
    | spl0_32 ),
    inference(avatar_split_clause,[],[f146,f335,f452,f227]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp0
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f600,plain,
    ( ~ spl0_21
    | spl0_87 ),
    inference(avatar_split_clause,[],[f81,f597,f289]) ).

fof(f81,axiom,
    ( c1_1(a357)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f595,plain,
    ( ~ spl0_5
    | spl0_43
    | spl0_9
    | spl0_86 ),
    inference(avatar_split_clause,[],[f200,f593,f242,f382,f227]) ).

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

fof(f591,plain,
    ( ~ spl0_46
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f114,f588,f396]) ).

fof(f114,axiom,
    ( ~ c3_1(a370)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f586,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_84
    | spl0_59 ),
    inference(avatar_split_clause,[],[f189,f455,f584,f234,f227]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c0_1(X1)
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f582,plain,
    ( spl0_68
    | spl0_20
    | spl0_39
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f167,f227,f366,f286,f501]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp1
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f581,plain,
    ( spl0_70
    | spl0_10
    | spl0_58
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f183,f227,f452,f245,f511]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | hskp10
      | c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f575,plain,
    ( ~ spl0_68
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f135,f572,f501]) ).

fof(f135,axiom,
    ( ~ c1_1(a355)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f569,plain,
    ( ~ spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f100,f566,f562]) ).

fof(f100,axiom,
    ( ~ c2_1(a388)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f560,plain,
    ( ~ spl0_57
    | spl0_79 ),
    inference(avatar_split_clause,[],[f58,f557,f447]) ).

fof(f58,axiom,
    ( c1_1(a398)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f555,plain,
    ( ~ spl0_38
    | spl0_78 ),
    inference(avatar_split_clause,[],[f84,f552,f362]) ).

fof(f84,axiom,
    ( c2_1(a356)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f550,plain,
    ( spl0_77
    | spl0_1
    | spl0_46 ),
    inference(avatar_split_clause,[],[f34,f396,f210,f547]) ).

fof(f34,axiom,
    ( hskp13
    | hskp15
    | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f545,plain,
    ( spl0_76
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f68,f210,f542]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c0_1(a376) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f540,plain,
    ( ~ spl0_36
    | spl0_5 ),
    inference(avatar_split_clause,[],[f16,f227,f353]) ).

fof(f16,axiom,
    ( ndr1_0
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

fof(f538,plain,
    ( ~ spl0_75
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f116,f218,f535]) ).

fof(f116,axiom,
    ( ~ hskp11
    | ~ c1_1(a368) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f533,plain,
    ( spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f55,f530,f526]) ).

fof(f55,axiom,
    ( ~ hskp26
    | c0_1(a418) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f519,plain,
    ( ~ spl0_3
    | spl0_71 ),
    inference(avatar_split_clause,[],[f74,f516,f218]) ).

fof(f74,axiom,
    ( c2_1(a368)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f509,plain,
    ( ~ spl0_12
    | spl0_69 ),
    inference(avatar_split_clause,[],[f80,f506,f253]) ).

fof(f80,axiom,
    ( c2_1(a358)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f504,plain,
    ( spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f85,f501,f497]) ).

fof(f85,axiom,
    ( ~ hskp1
    | c0_1(a355) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f495,plain,
    ( ~ spl0_5
    | spl0_17
    | spl0_48
    | spl0_53 ),
    inference(avatar_split_clause,[],[f147,f428,f405,f273,f227]) ).

fof(f147,axiom,
    ! [X0] :
      ( hskp24
      | hskp6
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f489,plain,
    ( ~ spl0_65
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f122,f307,f486]) ).

fof(f122,axiom,
    ( ~ hskp8
    | ~ c3_1(a363) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f482,plain,
    ( ~ spl0_7
    | spl0_64 ),
    inference(avatar_split_clause,[],[f52,f479,f234]) ).

fof(f52,axiom,
    ( c3_1(a365)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f477,plain,
    ( ~ spl0_25
    | spl0_63 ),
    inference(avatar_split_clause,[],[f78,f474,f307]) ).

fof(f78,axiom,
    ( c2_1(a363)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f471,plain,
    ( ~ spl0_57
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f96,f468,f447]) ).

fof(f96,axiom,
    ( ~ c2_1(a398)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f466,plain,
    ( spl0_61
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f59,f447,f463]) ).

fof(f59,axiom,
    ( ~ hskp23
    | c3_1(a398) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f461,plain,
    ( ~ spl0_5
    | spl0_60
    | spl0_51
    | spl0_57 ),
    inference(avatar_split_clause,[],[f155,f447,f419,f459,f227]) ).

fof(f155,axiom,
    ! [X0] :
      ( hskp23
      | hskp30
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f436,plain,
    ( ~ spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f110,f210,f433]) ).

fof(f110,axiom,
    ( ~ hskp15
    | ~ c1_1(a376) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f431,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f95,f428,f424]) ).

fof(f95,axiom,
    ( ~ hskp24
    | ~ c3_1(a399) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f422,plain,
    ( spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f46,f419,f415]) ).

fof(f46,axiom,
    ( ~ hskp30
    | c3_1(a373) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f408,plain,
    ( spl0_48
    | spl0_12 ),
    inference(avatar_split_clause,[],[f1,f253,f405]) ).

fof(f1,axiom,
    ( hskp4
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f403,plain,
    ( spl0_47
    | spl0_40
    | spl0_28
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f181,f227,f318,f370,f401]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | hskp5
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f394,plain,
    ( ~ spl0_45
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f106,f329,f391]) ).

fof(f106,axiom,
    ( ~ hskp18
    | ~ c2_1(a382) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f389,plain,
    ( spl0_44
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f83,f362,f386]) ).

fof(f83,axiom,
    ( ~ hskp2
    | c0_1(a356) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f384,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_38
    | spl0_43 ),
    inference(avatar_split_clause,[],[f157,f382,f362,f227,f223]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | hskp2
      | ~ ndr1_0
      | hskp19
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f380,plain,
    ( spl0_41
    | spl0_7
    | ~ spl0_5
    | spl0_42 ),
    inference(avatar_split_clause,[],[f182,f378,f227,f234,f375]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | hskp28
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f368,plain,
    ( ~ spl0_5
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f151,f366,f362,f358,f227]) ).

fof(f151,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp2
      | hskp25
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f356,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f159,f353,f350,f227,f214]) ).

fof(f159,axiom,
    ! [X0] :
      ( hskp17
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp16
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f348,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f79,f345,f341]) ).

fof(f79,axiom,
    ( ~ hskp7
    | c3_1(a361) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f338,plain,
    ( spl0_32
    | ~ spl0_5
    | spl0_20
    | spl0_26 ),
    inference(avatar_split_clause,[],[f166,f311,f286,f227,f335]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp0
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f332,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f105,f329,f325]) ).

fof(f105,axiom,
    ( ~ hskp18
    | ~ c0_1(a382) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f323,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_5
    | spl0_29 ),
    inference(avatar_split_clause,[],[f207,f321,f227,f318,f315]) ).

fof(f207,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

fof(f305,plain,
    ( ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f61,f302,f298]) ).

fof(f61,axiom,
    ( c2_1(a397)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f296,plain,
    ( ~ spl0_5
    | spl0_7
    | spl0_10
    | spl0_22 ),
    inference(avatar_split_clause,[],[f193,f294,f245,f234,f227]) ).

fof(f193,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | hskp28
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f292,plain,
    ( ~ spl0_5
    | spl0_12
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f137,f289,f286,f253,f227]) ).

fof(f137,axiom,
    ! [X0] :
      ( hskp3
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp4
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f284,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f73,f281,f277]) ).

fof(f73,axiom,
    ( ~ hskp12
    | c3_1(a369) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f275,plain,
    ( spl0_15
    | ~ spl0_5
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f203,f273,f270,f227,f267]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c0_1(X2)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f256,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f132,f253,f249]) ).

fof(f132,axiom,
    ( ~ hskp4
    | ~ c3_1(a358) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f247,plain,
    ( ~ spl0_5
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f201,f245,f242,f239,f227]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f237,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f145,f234,f231,f227,f223]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp19
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11  % Problem    : SYN504-1 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:58:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (3256)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.49  % (3275)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.50  % (3265)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.50  % (3263)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (3267)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.51  % (3265)Instruction limit reached!
% 0.18/0.51  % (3265)------------------------------
% 0.18/0.51  % (3265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (3278)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51  % (3265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (3265)Termination reason: Unknown
% 0.18/0.51  % (3265)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (3265)Memory used [KB]: 6012
% 0.18/0.51  % (3265)Time elapsed: 0.006 s
% 0.18/0.51  % (3265)Instructions burned: 7 (million)
% 0.18/0.51  % (3265)------------------------------
% 0.18/0.51  % (3265)------------------------------
% 0.18/0.51  % (3257)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.51  % (3271)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51  % (3263)Instruction limit reached!
% 0.18/0.51  % (3263)------------------------------
% 0.18/0.51  % (3263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (3263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (3263)Termination reason: Unknown
% 0.18/0.51  % (3263)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (3263)Memory used [KB]: 6012
% 0.18/0.51  % (3263)Time elapsed: 0.004 s
% 0.18/0.51  % (3263)Instructions burned: 3 (million)
% 0.18/0.51  % (3263)------------------------------
% 0.18/0.51  % (3263)------------------------------
% 0.18/0.51  % (3264)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (3271)Instruction limit reached!
% 0.18/0.51  % (3271)------------------------------
% 0.18/0.51  % (3271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (3271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (3271)Termination reason: Unknown
% 0.18/0.51  % (3271)Termination phase: shuffling
% 0.18/0.51  
% 0.18/0.51  % (3271)Memory used [KB]: 1535
% 0.18/0.51  % (3271)Time elapsed: 0.004 s
% 0.18/0.51  % (3271)Instructions burned: 2 (million)
% 0.18/0.51  % (3271)------------------------------
% 0.18/0.51  % (3271)------------------------------
% 0.18/0.51  % (3283)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.52  % (3275)Instruction limit reached!
% 0.18/0.52  % (3275)------------------------------
% 0.18/0.52  % (3275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (3275)Termination reason: Unknown
% 0.18/0.52  % (3275)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (3275)Memory used [KB]: 1535
% 0.18/0.52  % (3275)Time elapsed: 0.005 s
% 0.18/0.52  % (3275)Instructions burned: 6 (million)
% 0.18/0.52  % (3275)------------------------------
% 0.18/0.52  % (3275)------------------------------
% 0.18/0.52  % (3259)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.52  % (3258)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.52  % (3279)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.52  % (3261)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.52  % (3260)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52  % (3266)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.52  % (3255)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.52  % (3276)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.52  % (3268)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52  % (3267)Instruction limit reached!
% 0.18/0.52  % (3267)------------------------------
% 0.18/0.52  % (3267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (3267)Termination reason: Unknown
% 0.18/0.52  % (3267)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (3267)Memory used [KB]: 6268
% 0.18/0.52  % (3267)Time elapsed: 0.004 s
% 0.18/0.52  % (3267)Instructions burned: 5 (million)
% 0.18/0.52  % (3267)------------------------------
% 0.18/0.52  % (3267)------------------------------
% 0.18/0.52  % (3281)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.18/0.52  % (3268)Instruction limit reached!
% 0.18/0.52  % (3268)------------------------------
% 0.18/0.52  % (3268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (3268)Termination reason: Unknown
% 0.18/0.52  % (3268)Termination phase: shuffling
% 0.18/0.52  
% 0.18/0.52  % (3268)Memory used [KB]: 1535
% 0.18/0.52  % (3268)Time elapsed: 0.004 s
% 0.18/0.52  % (3268)Instructions burned: 3 (million)
% 0.18/0.52  % (3268)------------------------------
% 0.18/0.52  % (3268)------------------------------
% 0.18/0.53  % (3284)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (3277)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.53  % (3257)Instruction limit reached!
% 0.18/0.53  % (3257)------------------------------
% 0.18/0.53  % (3257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (3257)Termination reason: Unknown
% 0.18/0.53  % (3257)Termination phase: Property scanning
% 0.18/0.53  
% 0.18/0.53  % (3257)Memory used [KB]: 1535
% 0.18/0.53  % (3257)Time elapsed: 0.004 s
% 0.18/0.53  % (3257)Instructions burned: 4 (million)
% 0.18/0.53  % (3257)------------------------------
% 0.18/0.53  % (3257)------------------------------
% 0.18/0.53  % (3282)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.53  % (3273)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.53  % (3269)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.53  % (3280)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.18/0.53  % (3262)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (3274)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (3274)Instruction limit reached!
% 0.18/0.54  % (3274)------------------------------
% 0.18/0.54  % (3274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (3274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (3274)Termination reason: Unknown
% 0.18/0.54  % (3274)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (3274)Memory used [KB]: 6396
% 0.18/0.54  % (3274)Time elapsed: 0.004 s
% 0.18/0.54  % (3274)Instructions burned: 7 (million)
% 0.18/0.54  % (3274)------------------------------
% 0.18/0.54  % (3274)------------------------------
% 0.18/0.54  % (3272)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.54  % (3270)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.54  % (3270)Instruction limit reached!
% 0.18/0.54  % (3270)------------------------------
% 0.18/0.54  % (3270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (3270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (3270)Termination reason: Unknown
% 0.18/0.54  % (3270)Termination phase: Finite model building preprocessing
% 0.18/0.54  
% 0.18/0.54  % (3270)Memory used [KB]: 6140
% 0.18/0.54  % (3270)Time elapsed: 0.004 s
% 0.18/0.54  % (3270)Instructions burned: 7 (million)
% 0.18/0.54  % (3270)------------------------------
% 0.18/0.54  % (3270)------------------------------
% 0.18/0.55  % (3256)Instruction limit reached!
% 0.18/0.55  % (3256)------------------------------
% 0.18/0.55  % (3256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (3256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (3256)Termination reason: Unknown
% 0.18/0.55  % (3256)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (3256)Memory used [KB]: 1791
% 0.18/0.55  % (3256)Time elapsed: 0.154 s
% 0.18/0.55  % (3256)Instructions burned: 42 (million)
% 0.18/0.55  % (3256)------------------------------
% 0.18/0.55  % (3256)------------------------------
% 0.18/0.55  % (3278)Instruction limit reached!
% 0.18/0.55  % (3278)------------------------------
% 0.18/0.55  % (3278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (3278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (3278)Termination reason: Unknown
% 0.18/0.55  % (3278)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (3278)Memory used [KB]: 6396
% 0.18/0.55  % (3278)Time elapsed: 0.158 s
% 0.18/0.55  % (3278)Instructions burned: 37 (million)
% 0.18/0.55  % (3278)------------------------------
% 0.18/0.55  % (3278)------------------------------
% 0.18/0.55  % (3266)Instruction limit reached!
% 0.18/0.55  % (3266)------------------------------
% 0.18/0.55  % (3266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (3266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (3266)Termination reason: Unknown
% 0.18/0.55  % (3266)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (3266)Memory used [KB]: 6396
% 0.18/0.55  % (3266)Time elapsed: 0.165 s
% 0.18/0.55  % (3266)Instructions burned: 23 (million)
% 0.18/0.55  % (3266)------------------------------
% 0.18/0.55  % (3266)------------------------------
% 0.18/0.56  % (3272)Instruction limit reached!
% 0.18/0.56  % (3272)------------------------------
% 0.18/0.56  % (3272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (3272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (3272)Termination reason: Unknown
% 0.18/0.56  % (3272)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (3272)Memory used [KB]: 6524
% 0.18/0.56  % (3272)Time elapsed: 0.157 s
% 0.18/0.56  % (3272)Instructions burned: 9 (million)
% 0.18/0.56  % (3272)------------------------------
% 0.18/0.56  % (3272)------------------------------
% 0.18/0.57  % (3283)Instruction limit reached!
% 0.18/0.57  % (3283)------------------------------
% 0.18/0.57  % (3283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (3283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (3283)Termination reason: Unknown
% 0.18/0.57  % (3283)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (3283)Memory used [KB]: 6652
% 0.18/0.57  % (3283)Time elapsed: 0.150 s
% 0.18/0.57  % (3283)Instructions burned: 21 (million)
% 0.18/0.57  % (3283)------------------------------
% 0.18/0.57  % (3283)------------------------------
% 0.18/0.57  % (3260)Instruction limit reached!
% 0.18/0.57  % (3260)------------------------------
% 0.18/0.57  % (3260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (3260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (3260)Termination reason: Unknown
% 0.18/0.57  % (3260)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (3260)Memory used [KB]: 6780
% 0.18/0.57  % (3260)Time elapsed: 0.175 s
% 0.18/0.57  % (3260)Instructions burned: 25 (million)
% 0.18/0.57  % (3260)------------------------------
% 0.18/0.57  % (3260)------------------------------
% 0.18/0.57  % (3259)Instruction limit reached!
% 0.18/0.57  % (3259)------------------------------
% 0.18/0.57  % (3259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (3259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (3259)Termination reason: Unknown
% 0.18/0.57  % (3259)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (3259)Memory used [KB]: 7036
% 0.18/0.57  % (3259)Time elapsed: 0.179 s
% 0.18/0.57  % (3259)Instructions burned: 35 (million)
% 0.18/0.57  % (3259)------------------------------
% 0.18/0.57  % (3259)------------------------------
% 1.81/0.58  % (3269)Instruction limit reached!
% 1.81/0.58  % (3269)------------------------------
% 1.81/0.58  % (3269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58  % (3269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58  % (3269)Termination reason: Unknown
% 1.81/0.58  % (3269)Termination phase: Saturation
% 1.81/0.58  
% 1.81/0.58  % (3269)Memory used [KB]: 1791
% 1.81/0.58  % (3269)Time elapsed: 0.140 s
% 1.81/0.58  % (3269)Instructions burned: 30 (million)
% 1.81/0.58  % (3269)------------------------------
% 1.81/0.58  % (3269)------------------------------
% 1.81/0.58  % (3273)Instruction limit reached!
% 1.81/0.58  % (3273)------------------------------
% 1.81/0.58  % (3273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58  % (3273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58  % (3273)Termination reason: Unknown
% 1.81/0.58  % (3273)Termination phase: Saturation
% 1.81/0.58  
% 1.81/0.58  % (3273)Memory used [KB]: 11385
% 1.81/0.58  % (3273)Time elapsed: 0.175 s
% 1.81/0.58  % (3273)Instructions burned: 28 (million)
% 1.81/0.58  % (3273)------------------------------
% 1.81/0.58  % (3273)------------------------------
% 1.95/0.59  % (3264)Instruction limit reached!
% 1.95/0.59  % (3264)------------------------------
% 1.95/0.59  % (3264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.59  % (3264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.59  % (3264)Termination reason: Unknown
% 1.95/0.59  % (3264)Termination phase: Saturation
% 1.95/0.59  
% 1.95/0.59  % (3264)Memory used [KB]: 6908
% 1.95/0.59  % (3264)Time elapsed: 0.193 s
% 1.95/0.59  % (3264)Instructions burned: 52 (million)
% 1.95/0.59  % (3264)------------------------------
% 1.95/0.59  % (3264)------------------------------
% 1.95/0.59  % (3261)Instruction limit reached!
% 1.95/0.59  % (3261)------------------------------
% 1.95/0.59  % (3261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.59  % (3261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.59  % (3261)Termination reason: Unknown
% 1.95/0.59  % (3261)Termination phase: Saturation
% 1.95/0.59  
% 1.95/0.59  % (3261)Memory used [KB]: 1663
% 1.95/0.59  % (3261)Time elapsed: 0.164 s
% 1.95/0.59  % (3261)Instructions burned: 50 (million)
% 1.95/0.59  % (3261)------------------------------
% 1.95/0.59  % (3261)------------------------------
% 1.95/0.60  % (3276)First to succeed.
% 1.95/0.61  % (3258)Instruction limit reached!
% 1.95/0.61  % (3258)------------------------------
% 1.95/0.61  % (3258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61  % (3258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61  % (3258)Termination reason: Unknown
% 1.95/0.61  % (3258)Termination phase: Saturation
% 1.95/0.61  
% 1.95/0.61  % (3258)Memory used [KB]: 7164
% 1.95/0.61  % (3258)Time elapsed: 0.198 s
% 1.95/0.61  % (3258)Instructions burned: 44 (million)
% 1.95/0.61  % (3258)------------------------------
% 1.95/0.61  % (3258)------------------------------
% 1.95/0.62  % (3262)Instruction limit reached!
% 1.95/0.62  % (3262)------------------------------
% 1.95/0.62  % (3262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62  % (3262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62  % (3262)Termination reason: Unknown
% 1.95/0.62  % (3262)Termination phase: Saturation
% 1.95/0.62  
% 1.95/0.62  % (3262)Memory used [KB]: 7036
% 1.95/0.62  % (3262)Time elapsed: 0.231 s
% 1.95/0.62  % (3262)Instructions burned: 52 (million)
% 1.95/0.62  % (3262)------------------------------
% 1.95/0.62  % (3262)------------------------------
% 2.21/0.62  % (3279)Instruction limit reached!
% 2.21/0.62  % (3279)------------------------------
% 2.21/0.62  % (3279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.62  % (3279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.62  % (3279)Termination reason: Unknown
% 2.21/0.62  % (3279)Termination phase: Saturation
% 2.21/0.62  
% 2.21/0.62  % (3279)Memory used [KB]: 7036
% 2.21/0.62  % (3279)Time elapsed: 0.198 s
% 2.21/0.62  % (3279)Instructions burned: 47 (million)
% 2.21/0.62  % (3279)------------------------------
% 2.21/0.62  % (3279)------------------------------
% 2.21/0.63  % (3276)Refutation found. Thanks to Tanya!
% 2.21/0.63  % SZS status Unsatisfiable for theBenchmark
% 2.21/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.63  % (3276)------------------------------
% 2.26/0.63  % (3276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.63  % (3276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.63  % (3276)Termination reason: Refutation
% 2.26/0.63  
% 2.26/0.63  % (3276)Memory used [KB]: 7164
% 2.26/0.63  % (3276)Time elapsed: 0.225 s
% 2.26/0.63  % (3276)Instructions burned: 42 (million)
% 2.26/0.63  % (3276)------------------------------
% 2.26/0.63  % (3276)------------------------------
% 2.26/0.63  % (3254)Success in time 0.28 s
%------------------------------------------------------------------------------