TSTP Solution File: SYN451-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN451-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:05 EDT 2022

% Result   : Unsatisfiable 2.55s 0.71s
% Output   : Refutation 2.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  212
% Syntax   : Number of formulae    :  497 (   1 unt;   0 def)
%            Number of atoms       : 1579 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1863 ( 781   ~; 963   |;   0   &)
%                                         ( 119 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  146 ( 145 usr; 142 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  116 ( 116   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2409,plain,
    $false,
    inference(avatar_sat_refutation,[],[f184,f193,f202,f218,f227,f236,f240,f306,f319,f328,f333,f340,f349,f353,f362,f367,f371,f377,f382,f409,f419,f443,f460,f471,f490,f498,f508,f517,f522,f527,f534,f540,f550,f555,f562,f569,f579,f584,f598,f603,f604,f609,f614,f618,f625,f630,f635,f653,f663,f669,f670,f675,f680,f685,f686,f692,f697,f701,f711,f716,f730,f736,f753,f759,f764,f769,f780,f787,f792,f794,f795,f805,f810,f815,f816,f817,f822,f827,f832,f837,f839,f844,f850,f863,f869,f870,f872,f878,f880,f886,f891,f900,f908,f925,f926,f959,f991,f1013,f1014,f1026,f1027,f1028,f1031,f1039,f1051,f1052,f1075,f1116,f1117,f1136,f1153,f1159,f1160,f1185,f1203,f1205,f1320,f1372,f1383,f1384,f1388,f1398,f1404,f1417,f1481,f1639,f1641,f1654,f1754,f1757,f1759,f1760,f1768,f1792,f1795,f1858,f1859,f1861,f1913,f1914,f1939,f2071,f2154,f2155,f2243,f2244,f2245,f2289,f2295,f2398,f2401]) ).

fof(f2401,plain,
    ( spl0_160
    | ~ spl0_129
    | ~ spl0_36
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2223,f620,f330,f784,f1048]) ).

fof(f1048,plain,
    ( spl0_160
  <=> c1_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f784,plain,
    ( spl0_129
  <=> c3_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f330,plain,
    ( spl0_36
  <=> c2_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f620,plain,
    ( spl0_97
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2223,plain,
    ( ~ c3_1(a729)
    | c1_1(a729)
    | ~ spl0_36
    | ~ spl0_97 ),
    inference(resolution,[],[f621,f332]) ).

fof(f332,plain,
    ( c2_1(a729)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f621,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f2398,plain,
    ( spl0_158
    | spl0_116
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2393,f767,f195,f713,f1033]) ).

fof(f1033,plain,
    ( spl0_158
  <=> c2_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f713,plain,
    ( spl0_116
  <=> c1_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f195,plain,
    ( spl0_5
  <=> c3_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f767,plain,
    ( spl0_126
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2393,plain,
    ( c1_1(a730)
    | c2_1(a730)
    | ~ spl0_5
    | ~ spl0_126 ),
    inference(resolution,[],[f768,f197]) ).

fof(f197,plain,
    ( c3_1(a730)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f768,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f2295,plain,
    ( spl0_163
    | ~ spl0_133
    | ~ spl0_97
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2233,f812,f620,f807,f1120]) ).

fof(f1120,plain,
    ( spl0_163
  <=> c1_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f807,plain,
    ( spl0_133
  <=> c3_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f812,plain,
    ( spl0_134
  <=> c2_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2233,plain,
    ( ~ c3_1(a735)
    | c1_1(a735)
    | ~ spl0_97
    | ~ spl0_134 ),
    inference(resolution,[],[f621,f814]) ).

fof(f814,plain,
    ( c2_1(a735)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f2289,plain,
    ( spl0_92
    | ~ spl0_163
    | ~ spl0_37
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2280,f807,f335,f1120,f595]) ).

fof(f595,plain,
    ( spl0_92
  <=> c0_1(a735) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f335,plain,
    ( spl0_37
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2280,plain,
    ( ~ c1_1(a735)
    | c0_1(a735)
    | ~ spl0_37
    | ~ spl0_133 ),
    inference(resolution,[],[f336,f809]) ).

fof(f809,plain,
    ( c3_1(a735)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f336,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f2245,plain,
    ( ~ spl0_43
    | spl0_120
    | ~ spl0_97
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2230,f922,f620,f733,f359]) ).

fof(f359,plain,
    ( spl0_43
  <=> c3_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f733,plain,
    ( spl0_120
  <=> c1_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f922,plain,
    ( spl0_150
  <=> c2_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2230,plain,
    ( c1_1(a744)
    | ~ c3_1(a744)
    | ~ spl0_97
    | ~ spl0_150 ),
    inference(resolution,[],[f621,f924]) ).

fof(f924,plain,
    ( c2_1(a744)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f2244,plain,
    ( ~ spl0_5
    | spl0_116
    | ~ spl0_97
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2236,f1033,f620,f713,f195]) ).

fof(f2236,plain,
    ( c1_1(a730)
    | ~ c3_1(a730)
    | ~ spl0_97
    | ~ spl0_158 ),
    inference(resolution,[],[f621,f1035]) ).

fof(f1035,plain,
    ( c2_1(a730)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f2243,plain,
    ( ~ spl0_174
    | spl0_78
    | ~ spl0_97
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2235,f829,f620,f524,f1789]) ).

fof(f1789,plain,
    ( spl0_174
  <=> c3_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f524,plain,
    ( spl0_78
  <=> c1_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f829,plain,
    ( spl0_137
  <=> c2_1(a733) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2235,plain,
    ( c1_1(a733)
    | ~ c3_1(a733)
    | ~ spl0_97
    | ~ spl0_137 ),
    inference(resolution,[],[f621,f831]) ).

fof(f831,plain,
    ( c2_1(a733)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f2155,plain,
    ( spl0_100
    | ~ spl0_75
    | ~ spl0_98
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2138,f841,f623,f510,f632]) ).

fof(f632,plain,
    ( spl0_100
  <=> c2_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f510,plain,
    ( spl0_75
  <=> c0_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f623,plain,
    ( spl0_98
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f841,plain,
    ( spl0_139
  <=> c3_1(a793) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2138,plain,
    ( ~ c0_1(a793)
    | c2_1(a793)
    | ~ spl0_98
    | ~ spl0_139 ),
    inference(resolution,[],[f624,f843]) ).

fof(f843,plain,
    ( c3_1(a793)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f624,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f2154,plain,
    ( spl0_124
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2149,f777,f623,f1041,f756]) ).

fof(f756,plain,
    ( spl0_124
  <=> c2_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1041,plain,
    ( spl0_159
  <=> c0_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f777,plain,
    ( spl0_128
  <=> c3_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2149,plain,
    ( ~ c0_1(a731)
    | c2_1(a731)
    | ~ spl0_98
    | ~ spl0_128 ),
    inference(resolution,[],[f624,f779]) ).

fof(f779,plain,
    ( c3_1(a731)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f2071,plain,
    ( ~ spl0_86
    | ~ spl0_160
    | ~ spl0_36
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2054,f616,f330,f1048,f566]) ).

fof(f566,plain,
    ( spl0_86
  <=> c0_1(a729) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f616,plain,
    ( spl0_96
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2054,plain,
    ( ~ c1_1(a729)
    | ~ c0_1(a729)
    | ~ spl0_36
    | ~ spl0_96 ),
    inference(resolution,[],[f617,f332]) ).

fof(f617,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f1939,plain,
    ( spl0_64
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1937,f407,f212,f458]) ).

fof(f458,plain,
    ( spl0_64
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f212,plain,
    ( spl0_9
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f407,plain,
    ( spl0_53
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1937,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1930]) ).

fof(f1930,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | c0_1(X1) )
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(resolution,[],[f408,f213]) ).

fof(f213,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f408,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1914,plain,
    ( ~ spl0_86
    | spl0_160
    | ~ spl0_32
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1882,f784,f312,f1048,f566]) ).

fof(f312,plain,
    ( spl0_32
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1882,plain,
    ( c1_1(a729)
    | ~ c0_1(a729)
    | ~ spl0_32
    | ~ spl0_129 ),
    inference(resolution,[],[f313,f786]) ).

fof(f786,plain,
    ( c3_1(a729)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f313,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f1913,plain,
    ( spl0_111
    | spl0_123
    | ~ spl0_15
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1912,f1645,f238,f750,f689]) ).

fof(f689,plain,
    ( spl0_111
  <=> c3_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f750,plain,
    ( spl0_123
  <=> c2_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f238,plain,
    ( spl0_15
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1645,plain,
    ( spl0_171
  <=> c0_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1912,plain,
    ( c2_1(a775)
    | c3_1(a775)
    | ~ spl0_15
    | ~ spl0_171 ),
    inference(resolution,[],[f1646,f239]) ).

fof(f239,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1646,plain,
    ( c0_1(a775)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1645]) ).

fof(f1861,plain,
    ( spl0_95
    | spl0_143
    | ~ spl0_45
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1857,f1010,f369,f866,f611]) ).

fof(f611,plain,
    ( spl0_95
  <=> c0_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f866,plain,
    ( spl0_143
  <=> c2_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f369,plain,
    ( spl0_45
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1010,plain,
    ( spl0_156
  <=> c1_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1857,plain,
    ( c2_1(a732)
    | c0_1(a732)
    | ~ spl0_45
    | ~ spl0_156 ),
    inference(resolution,[],[f370,f1012]) ).

fof(f1012,plain,
    ( c1_1(a732)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f370,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1859,plain,
    ( spl0_159
    | spl0_124
    | ~ spl0_45
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1856,f905,f369,f756,f1041]) ).

fof(f905,plain,
    ( spl0_148
  <=> c1_1(a731) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1856,plain,
    ( c2_1(a731)
    | c0_1(a731)
    | ~ spl0_45
    | ~ spl0_148 ),
    inference(resolution,[],[f370,f907]) ).

fof(f907,plain,
    ( c1_1(a731)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f1858,plain,
    ( spl0_171
    | spl0_123
    | ~ spl0_2
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1848,f369,f181,f750,f1645]) ).

fof(f181,plain,
    ( spl0_2
  <=> c1_1(a775) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1848,plain,
    ( c2_1(a775)
    | c0_1(a775)
    | ~ spl0_2
    | ~ spl0_45 ),
    inference(resolution,[],[f370,f183]) ).

fof(f183,plain,
    ( c1_1(a775)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f1795,plain,
    ( spl0_124
    | ~ spl0_159
    | ~ spl0_85
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1794,f905,f560,f1041,f756]) ).

fof(f560,plain,
    ( spl0_85
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1794,plain,
    ( ~ c0_1(a731)
    | c2_1(a731)
    | ~ spl0_85
    | ~ spl0_148 ),
    inference(resolution,[],[f907,f561]) ).

fof(f561,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f1792,plain,
    ( spl0_174
    | spl0_78
    | ~ spl0_84
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1786,f829,f557,f524,f1789]) ).

fof(f557,plain,
    ( spl0_84
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1786,plain,
    ( c1_1(a733)
    | c3_1(a733)
    | ~ spl0_84
    | ~ spl0_137 ),
    inference(resolution,[],[f831,f558]) ).

fof(f558,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1768,plain,
    ( spl0_169
    | spl0_145
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1517,f487,f482,f883,f1400]) ).

fof(f1400,plain,
    ( spl0_169
  <=> c0_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f883,plain,
    ( spl0_145
  <=> c1_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f482,plain,
    ( spl0_69
  <=> ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f487,plain,
    ( spl0_70
  <=> c2_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1517,plain,
    ( c1_1(a759)
    | c0_1(a759)
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(resolution,[],[f483,f489]) ).

fof(f489,plain,
    ( c2_1(a759)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f483,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f1760,plain,
    ( spl0_120
    | spl0_99
    | ~ spl0_43
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1560,f493,f359,f627,f733]) ).

fof(f627,plain,
    ( spl0_99
  <=> c0_1(a744) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f493,plain,
    ( spl0_71
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1560,plain,
    ( c0_1(a744)
    | c1_1(a744)
    | ~ spl0_43
    | ~ spl0_71 ),
    inference(resolution,[],[f494,f361]) ).

fof(f361,plain,
    ( c3_1(a744)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f494,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f1759,plain,
    ( ~ spl0_86
    | ~ spl0_160
    | ~ spl0_113
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1733,f784,f699,f1048,f566]) ).

fof(f699,plain,
    ( spl0_113
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1733,plain,
    ( ~ c1_1(a729)
    | ~ c0_1(a729)
    | ~ spl0_113
    | ~ spl0_129 ),
    inference(resolution,[],[f786,f700]) ).

fof(f700,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f1757,plain,
    ( ~ spl0_159
    | ~ spl0_148
    | ~ spl0_113
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1327,f777,f699,f905,f1041]) ).

fof(f1327,plain,
    ( ~ c1_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_113
    | ~ spl0_128 ),
    inference(resolution,[],[f700,f779]) ).

fof(f1754,plain,
    ( spl0_106
    | spl0_93
    | ~ spl0_15
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1753,f875,f238,f600,f660]) ).

fof(f660,plain,
    ( spl0_106
  <=> c3_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f600,plain,
    ( spl0_93
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f875,plain,
    ( spl0_144
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1753,plain,
    ( c2_1(a802)
    | c3_1(a802)
    | ~ spl0_15
    | ~ spl0_144 ),
    inference(resolution,[],[f877,f239]) ).

fof(f877,plain,
    ( c0_1(a802)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1654,plain,
    ( spl0_171
    | ~ spl0_45
    | ~ spl0_64
    | ~ spl0_69
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1651,f750,f482,f458,f369,f1645]) ).

fof(f1651,plain,
    ( c0_1(a775)
    | ~ spl0_45
    | ~ spl0_64
    | ~ spl0_69
    | spl0_123 ),
    inference(resolution,[],[f752,f1534]) ).

fof(f1534,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_45
    | ~ spl0_64
    | ~ spl0_69 ),
    inference(duplicate_literal_removal,[],[f1526]) ).

fof(f1526,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_45
    | ~ spl0_64
    | ~ spl0_69 ),
    inference(resolution,[],[f1525,f370]) ).

fof(f1525,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_64
    | ~ spl0_69 ),
    inference(duplicate_literal_removal,[],[f1509]) ).

fof(f1509,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c1_1(X0) )
    | ~ spl0_64
    | ~ spl0_69 ),
    inference(resolution,[],[f483,f459]) ).

fof(f459,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f752,plain,
    ( ~ c2_1(a775)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f1641,plain,
    ( ~ spl0_77
    | spl0_130
    | ~ spl0_3
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1619,f762,f186,f789,f519]) ).

fof(f519,plain,
    ( spl0_77
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f789,plain,
    ( spl0_130
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f186,plain,
    ( spl0_3
  <=> c1_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f762,plain,
    ( spl0_125
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1619,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_3
    | ~ spl0_125 ),
    inference(resolution,[],[f763,f188]) ).

fof(f188,plain,
    ( c1_1(a798)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f763,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f1639,plain,
    ( spl0_80
    | ~ spl0_74
    | ~ spl0_125
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1622,f1200,f762,f505,f537]) ).

fof(f537,plain,
    ( spl0_80
  <=> c3_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f505,plain,
    ( spl0_74
  <=> c0_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1200,plain,
    ( spl0_165
  <=> c1_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1622,plain,
    ( ~ c0_1(a764)
    | c3_1(a764)
    | ~ spl0_125
    | ~ spl0_165 ),
    inference(resolution,[],[f763,f1202]) ).

fof(f1202,plain,
    ( c1_1(a764)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1481,plain,
    ( spl0_44
    | spl0_140
    | ~ spl0_45
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1472,f955,f369,f847,f364]) ).

fof(f364,plain,
    ( spl0_44
  <=> c2_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f847,plain,
    ( spl0_140
  <=> c0_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f955,plain,
    ( spl0_153
  <=> c1_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1472,plain,
    ( c0_1(a746)
    | c2_1(a746)
    | ~ spl0_45
    | ~ spl0_153 ),
    inference(resolution,[],[f370,f956]) ).

fof(f956,plain,
    ( c1_1(a746)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f1417,plain,
    ( spl0_135
    | spl0_138
    | ~ spl0_84
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1414,f824,f557,f834,f819]) ).

fof(f819,plain,
    ( spl0_135
  <=> c1_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f834,plain,
    ( spl0_138
  <=> c3_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f824,plain,
    ( spl0_136
  <=> c2_1(a779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1414,plain,
    ( c3_1(a779)
    | c1_1(a779)
    | ~ spl0_84
    | ~ spl0_136 ),
    inference(resolution,[],[f826,f558]) ).

fof(f826,plain,
    ( c2_1(a779)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f1404,plain,
    ( ~ spl0_169
    | ~ spl0_89
    | ~ spl0_24
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1397,f487,f277,f581,f1400]) ).

fof(f581,plain,
    ( spl0_89
  <=> c3_1(a759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f277,plain,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1397,plain,
    ( ~ c3_1(a759)
    | ~ c0_1(a759)
    | ~ spl0_24
    | ~ spl0_70 ),
    inference(resolution,[],[f489,f278]) ).

fof(f278,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f1398,plain,
    ( ~ spl0_89
    | spl0_145
    | ~ spl0_70
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1394,f620,f487,f883,f581]) ).

fof(f1394,plain,
    ( c1_1(a759)
    | ~ c3_1(a759)
    | ~ spl0_70
    | ~ spl0_97 ),
    inference(resolution,[],[f489,f621]) ).

fof(f1388,plain,
    ( spl0_71
    | ~ spl0_64
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1306,f620,f458,f493]) ).

fof(f1306,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_64
    | ~ spl0_97 ),
    inference(duplicate_literal_removal,[],[f1295]) ).

fof(f1295,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_64
    | ~ spl0_97 ),
    inference(resolution,[],[f621,f459]) ).

fof(f1384,plain,
    ( spl0_47
    | spl0_35
    | ~ spl0_104
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1341,f719,f650,f325,f379]) ).

fof(f379,plain,
    ( spl0_47
  <=> c0_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f325,plain,
    ( spl0_35
  <=> c3_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f650,plain,
    ( spl0_104
  <=> c1_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f719,plain,
    ( spl0_117
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1341,plain,
    ( c3_1(a734)
    | c0_1(a734)
    | ~ spl0_104
    | ~ spl0_117 ),
    inference(resolution,[],[f720,f652]) ).

fof(f652,plain,
    ( c1_1(a734)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f720,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1383,plain,
    ( spl0_71
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1133,f458,f351,f493]) ).

fof(f351,plain,
    ( spl0_41
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1133,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f1124]) ).

fof(f1124,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(resolution,[],[f459,f352]) ).

fof(f352,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f1372,plain,
    ( spl0_45
    | ~ spl0_38
    | ~ spl0_53
    | ~ spl0_71
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1355,f719,f493,f407,f338,f369]) ).

fof(f338,plain,
    ( spl0_38
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1355,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_38
    | ~ spl0_53
    | ~ spl0_71
    | ~ spl0_117 ),
    inference(resolution,[],[f1345,f339]) ).

fof(f339,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f1345,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_53
    | ~ spl0_71
    | ~ spl0_117 ),
    inference(duplicate_literal_removal,[],[f1329]) ).

fof(f1329,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_53
    | ~ spl0_71
    | ~ spl0_117 ),
    inference(resolution,[],[f720,f1239]) ).

fof(f1239,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_53
    | ~ spl0_71 ),
    inference(duplicate_literal_removal,[],[f1223]) ).

fof(f1223,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_53
    | ~ spl0_71 ),
    inference(resolution,[],[f408,f494]) ).

fof(f1320,plain,
    ( spl0_116
    | spl0_158
    | ~ spl0_94
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1316,f666,f606,f1033,f713]) ).

fof(f606,plain,
    ( spl0_94
  <=> c0_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f666,plain,
    ( spl0_107
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1316,plain,
    ( c2_1(a730)
    | c1_1(a730)
    | ~ spl0_94
    | ~ spl0_107 ),
    inference(resolution,[],[f667,f608]) ).

fof(f608,plain,
    ( c0_1(a730)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f667,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1205,plain,
    ( spl0_53
    | ~ spl0_64
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1197,f557,f458,f407]) ).

fof(f1197,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_64
    | ~ spl0_84 ),
    inference(duplicate_literal_removal,[],[f1186]) ).

fof(f1186,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_64
    | ~ spl0_84 ),
    inference(resolution,[],[f558,f459]) ).

fof(f1203,plain,
    ( spl0_80
    | spl0_165
    | ~ spl0_84
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1191,f694,f557,f1200,f537]) ).

fof(f694,plain,
    ( spl0_112
  <=> c2_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1191,plain,
    ( c1_1(a764)
    | c3_1(a764)
    | ~ spl0_84
    | ~ spl0_112 ),
    inference(resolution,[],[f558,f696]) ).

fof(f696,plain,
    ( c2_1(a764)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f1185,plain,
    ( spl0_119
    | spl0_83
    | ~ spl0_72
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1168,f682,f496,f552,f727]) ).

fof(f727,plain,
    ( spl0_119
  <=> c0_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f552,plain,
    ( spl0_83
  <=> c3_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f496,plain,
    ( spl0_72
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f682,plain,
    ( spl0_110
  <=> c2_1(a777) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1168,plain,
    ( c3_1(a777)
    | c0_1(a777)
    | ~ spl0_72
    | ~ spl0_110 ),
    inference(resolution,[],[f497,f684]) ).

fof(f684,plain,
    ( c2_1(a777)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f497,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f1160,plain,
    ( spl0_14
    | ~ spl0_64
    | ~ spl0_69
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1158,f547,f482,f458,f233]) ).

fof(f233,plain,
    ( spl0_14
  <=> c0_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f547,plain,
    ( spl0_82
  <=> c1_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1158,plain,
    ( c0_1(a748)
    | ~ spl0_64
    | ~ spl0_69
    | spl0_82 ),
    inference(resolution,[],[f1152,f549]) ).

fof(f549,plain,
    ( ~ c1_1(a748)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f1152,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_64
    | ~ spl0_69 ),
    inference(duplicate_literal_removal,[],[f1141]) ).

fof(f1141,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_64
    | ~ spl0_69 ),
    inference(resolution,[],[f483,f459]) ).

fof(f1159,plain,
    ( spl0_146
    | ~ spl0_64
    | ~ spl0_69
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1157,f576,f482,f458,f888]) ).

fof(f888,plain,
    ( spl0_146
  <=> c0_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f576,plain,
    ( spl0_88
  <=> c1_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1157,plain,
    ( c0_1(a749)
    | ~ spl0_64
    | ~ spl0_69
    | spl0_88 ),
    inference(resolution,[],[f1152,f578]) ).

fof(f578,plain,
    ( ~ c1_1(a749)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1153,plain,
    ( spl0_163
    | spl0_92
    | ~ spl0_69
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1149,f812,f482,f595,f1120]) ).

fof(f1149,plain,
    ( c0_1(a735)
    | c1_1(a735)
    | ~ spl0_69
    | ~ spl0_134 ),
    inference(resolution,[],[f483,f814]) ).

fof(f1136,plain,
    ( spl0_99
    | spl0_120
    | ~ spl0_64
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1128,f922,f458,f733,f627]) ).

fof(f1128,plain,
    ( c1_1(a744)
    | c0_1(a744)
    | ~ spl0_64
    | spl0_150 ),
    inference(resolution,[],[f459,f923]) ).

fof(f923,plain,
    ( ~ c2_1(a744)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f1117,plain,
    ( ~ spl0_43
    | spl0_99
    | ~ spl0_41
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1104,f922,f351,f627,f359]) ).

fof(f1104,plain,
    ( c0_1(a744)
    | ~ c3_1(a744)
    | ~ spl0_41
    | ~ spl0_150 ),
    inference(resolution,[],[f352,f924]) ).

fof(f1116,plain,
    ( spl0_92
    | ~ spl0_133
    | ~ spl0_41
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1106,f812,f351,f807,f595]) ).

fof(f1106,plain,
    ( ~ c3_1(a735)
    | c0_1(a735)
    | ~ spl0_41
    | ~ spl0_134 ),
    inference(resolution,[],[f352,f814]) ).

fof(f1075,plain,
    ( spl0_124
    | spl0_159
    | ~ spl0_9
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1072,f777,f212,f1041,f756]) ).

fof(f1072,plain,
    ( c0_1(a731)
    | c2_1(a731)
    | ~ spl0_9
    | ~ spl0_128 ),
    inference(resolution,[],[f213,f779]) ).

fof(f1052,plain,
    ( ~ spl0_129
    | ~ spl0_86
    | ~ spl0_24
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1046,f330,f277,f566,f784]) ).

fof(f1046,plain,
    ( ~ c0_1(a729)
    | ~ c3_1(a729)
    | ~ spl0_24
    | ~ spl0_36 ),
    inference(resolution,[],[f332,f278]) ).

fof(f1051,plain,
    ( ~ spl0_129
    | ~ spl0_160
    | ~ spl0_31
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1045,f330,f308,f1048,f784]) ).

fof(f308,plain,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1045,plain,
    ( ~ c1_1(a729)
    | ~ c3_1(a729)
    | ~ spl0_31
    | ~ spl0_36 ),
    inference(resolution,[],[f332,f309]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f1039,plain,
    ( ~ spl0_148
    | spl0_124
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1037,f777,f338,f756,f905]) ).

fof(f1037,plain,
    ( c2_1(a731)
    | ~ c1_1(a731)
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(resolution,[],[f779,f339]) ).

fof(f1031,plain,
    ( spl0_116
    | ~ spl0_94
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1030,f312,f195,f606,f713]) ).

fof(f1030,plain,
    ( ~ c0_1(a730)
    | c1_1(a730)
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(resolution,[],[f197,f313]) ).

fof(f1028,plain,
    ( spl0_82
    | spl0_14
    | ~ spl0_64
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1024,f672,f458,f233,f547]) ).

fof(f672,plain,
    ( spl0_108
  <=> c2_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1024,plain,
    ( c0_1(a748)
    | c1_1(a748)
    | ~ spl0_64
    | spl0_108 ),
    inference(resolution,[],[f459,f674]) ).

fof(f674,plain,
    ( ~ c2_1(a748)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f1027,plain,
    ( spl0_156
    | spl0_95
    | ~ spl0_64
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1025,f866,f458,f611,f1010]) ).

fof(f1025,plain,
    ( c0_1(a732)
    | c1_1(a732)
    | ~ spl0_64
    | spl0_143 ),
    inference(resolution,[],[f459,f868]) ).

fof(f868,plain,
    ( ~ c2_1(a732)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1026,plain,
    ( spl0_153
    | spl0_140
    | spl0_44
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1022,f458,f364,f847,f955]) ).

fof(f1022,plain,
    ( c0_1(a746)
    | c1_1(a746)
    | spl0_44
    | ~ spl0_64 ),
    inference(resolution,[],[f459,f366]) ).

fof(f366,plain,
    ( ~ c2_1(a746)
    | spl0_44 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1014,plain,
    ( spl0_88
    | spl0_146
    | ~ spl0_53
    | spl0_55 ),
    inference(avatar_split_clause,[],[f1006,f416,f407,f888,f576]) ).

fof(f416,plain,
    ( spl0_55
  <=> c3_1(a749) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1006,plain,
    ( c0_1(a749)
    | c1_1(a749)
    | ~ spl0_53
    | spl0_55 ),
    inference(resolution,[],[f408,f418]) ).

fof(f418,plain,
    ( ~ c3_1(a749)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f1013,plain,
    ( spl0_156
    | spl0_95
    | ~ spl0_53
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1007,f708,f407,f611,f1010]) ).

fof(f708,plain,
    ( spl0_115
  <=> c3_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1007,plain,
    ( c0_1(a732)
    | c1_1(a732)
    | ~ spl0_53
    | spl0_115 ),
    inference(resolution,[],[f408,f710]) ).

fof(f710,plain,
    ( ~ c3_1(a732)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f991,plain,
    ( spl0_46
    | spl0_132
    | ~ spl0_33
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f989,f369,f316,f802,f374]) ).

fof(f374,plain,
    ( spl0_46
  <=> c2_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f802,plain,
    ( spl0_132
  <=> c0_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f316,plain,
    ( spl0_33
  <=> c1_1(a738) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f989,plain,
    ( c0_1(a738)
    | c2_1(a738)
    | ~ spl0_33
    | ~ spl0_45 ),
    inference(resolution,[],[f370,f318]) ).

fof(f318,plain,
    ( c1_1(a738)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f959,plain,
    ( spl0_40
    | ~ spl0_79
    | ~ spl0_37
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f953,f468,f335,f531,f346]) ).

fof(f346,plain,
    ( spl0_40
  <=> c0_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f531,plain,
    ( spl0_79
  <=> c1_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f468,plain,
    ( spl0_66
  <=> c3_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f953,plain,
    ( ~ c1_1(a741)
    | c0_1(a741)
    | ~ spl0_37
    | ~ spl0_66 ),
    inference(resolution,[],[f336,f470]) ).

fof(f470,plain,
    ( c3_1(a741)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f926,plain,
    ( spl0_140
    | spl0_44
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f913,f220,f212,f364,f847]) ).

fof(f220,plain,
    ( spl0_11
  <=> c3_1(a746) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f913,plain,
    ( c2_1(a746)
    | c0_1(a746)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(resolution,[],[f213,f222]) ).

fof(f222,plain,
    ( c3_1(a746)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f925,plain,
    ( spl0_150
    | spl0_99
    | ~ spl0_9
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f914,f359,f212,f627,f922]) ).

fof(f914,plain,
    ( c0_1(a744)
    | c2_1(a744)
    | ~ spl0_9
    | ~ spl0_43 ),
    inference(resolution,[],[f213,f361]) ).

fof(f908,plain,
    ( ~ spl0_63
    | spl0_148 ),
    inference(avatar_split_clause,[],[f77,f905,f454]) ).

fof(f454,plain,
    ( spl0_63
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f77,axiom,
    ( c1_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f900,plain,
    ( spl0_8
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f22,f355,f208]) ).

fof(f208,plain,
    ( spl0_8
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f355,plain,
    ( spl0_42
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f22,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f891,plain,
    ( ~ spl0_146
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f100,f246,f888]) ).

fof(f246,plain,
    ( spl0_17
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f100,axiom,
    ( ~ hskp11
    | ~ c0_1(a749) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f886,plain,
    ( ~ spl0_145
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f98,f440,f883]) ).

fof(f440,plain,
    ( spl0_60
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f98,axiom,
    ( ~ hskp13
    | ~ c1_1(a759) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f880,plain,
    ( ~ spl0_8
    | spl0_117
    | spl0_45
    | spl0_29 ),
    inference(avatar_split_clause,[],[f152,f299,f369,f719,f208]) ).

fof(f299,plain,
    ( spl0_29
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f152,axiom,
    ! [X0,X1] :
      ( hskp5
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f878,plain,
    ( ~ spl0_20
    | spl0_144 ),
    inference(avatar_split_clause,[],[f48,f875,f260]) ).

fof(f260,plain,
    ( spl0_20
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f48,axiom,
    ( c0_1(a802)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f872,plain,
    ( ~ spl0_8
    | spl0_17
    | spl0_1
    | spl0_125 ),
    inference(avatar_split_clause,[],[f141,f762,f177,f246,f208]) ).

fof(f177,plain,
    ( spl0_1
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f141,axiom,
    ! [X0] :
      ( c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp18
      | hskp11
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f870,plain,
    ( spl0_8
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f30,f199,f208]) ).

fof(f199,plain,
    ( spl0_6
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f30,axiom,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f869,plain,
    ( ~ spl0_87
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f119,f866,f571]) ).

fof(f571,plain,
    ( spl0_87
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f119,axiom,
    ( ~ c2_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f863,plain,
    ( ~ spl0_8
    | spl0_87
    | spl0_37
    | spl0_107 ),
    inference(avatar_split_clause,[],[f159,f666,f335,f571,f208]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | hskp2
      | ~ ndr1_0
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f850,plain,
    ( ~ spl0_12
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f106,f847,f224]) ).

fof(f224,plain,
    ( spl0_12
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f106,axiom,
    ( ~ c0_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f844,plain,
    ( ~ spl0_76
    | spl0_139 ),
    inference(avatar_split_clause,[],[f53,f841,f514]) ).

fof(f514,plain,
    ( spl0_76
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f53,axiom,
    ( c3_1(a793)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f839,plain,
    ( spl0_1
    | spl0_38
    | spl0_84
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f162,f208,f557,f338,f177]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | hskp18
      | c1_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f837,plain,
    ( ~ spl0_109
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f88,f834,f677]) ).

fof(f677,plain,
    ( spl0_109
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f88,axiom,
    ( ~ c3_1(a779)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f832,plain,
    ( spl0_137
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f76,f445,f829]) ).

fof(f445,plain,
    ( spl0_61
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f76,axiom,
    ( ~ hskp3
    | c2_1(a733) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f827,plain,
    ( ~ spl0_109
    | spl0_136 ),
    inference(avatar_split_clause,[],[f54,f824,f677]) ).

fof(f54,axiom,
    ( c2_1(a779)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f822,plain,
    ( ~ spl0_109
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f87,f819,f677]) ).

fof(f87,axiom,
    ( ~ c1_1(a779)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f817,plain,
    ( spl0_42
    | spl0_6 ),
    inference(avatar_split_clause,[],[f1,f199,f355]) ).

fof(f1,axiom,
    ( hskp0
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f816,plain,
    ( spl0_6
    | ~ spl0_8
    | spl0_45
    | spl0_69 ),
    inference(avatar_split_clause,[],[f150,f482,f369,f208,f199]) ).

fof(f150,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp0
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f815,plain,
    ( spl0_134
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f73,f299,f812]) ).

fof(f73,axiom,
    ( ~ hskp5
    | c2_1(a735) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f810,plain,
    ( spl0_133
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f74,f299,f807]) ).

fof(f74,axiom,
    ( ~ hskp5
    | c3_1(a735) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f805,plain,
    ( ~ spl0_132
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f111,f204,f802]) ).

fof(f204,plain,
    ( spl0_7
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f111,axiom,
    ( ~ hskp6
    | ~ c0_1(a738) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f795,plain,
    ( spl0_63
    | ~ spl0_8
    | spl0_69
    | spl0_87 ),
    inference(avatar_split_clause,[],[f128,f571,f482,f208,f454]) ).

fof(f128,axiom,
    ! [X0] :
      ( hskp2
      | c1_1(X0)
      | ~ ndr1_0
      | hskp1
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f794,plain,
    ( spl0_15
    | spl0_22
    | ~ spl0_8
    | spl0_61 ),
    inference(avatar_split_clause,[],[f136,f445,f208,f270,f238]) ).

fof(f270,plain,
    ( spl0_22
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f136,axiom,
    ! [X0] :
      ( hskp3
      | ~ ndr1_0
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f792,plain,
    ( ~ spl0_4
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f83,f789,f190]) ).

fof(f190,plain,
    ( spl0_4
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f83,axiom,
    ( ~ c3_1(a798)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f787,plain,
    ( spl0_129
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f47,f215,f784]) ).

fof(f215,plain,
    ( spl0_10
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f47,axiom,
    ( ~ hskp25
    | c3_1(a729) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f780,plain,
    ( ~ spl0_63
    | spl0_128 ),
    inference(avatar_split_clause,[],[f78,f777,f454]) ).

fof(f78,axiom,
    ( c3_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f769,plain,
    ( spl0_126
    | ~ spl0_8
    | spl0_38
    | spl0_17 ),
    inference(avatar_split_clause,[],[f160,f246,f338,f208,f767]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( hskp11
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f764,plain,
    ( spl0_63
    | spl0_24
    | ~ spl0_8
    | spl0_125 ),
    inference(avatar_split_clause,[],[f167,f762,f208,f277,f454]) ).

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

fof(f759,plain,
    ( ~ spl0_124
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f121,f454,f756]) ).

fof(f121,axiom,
    ( ~ hskp1
    | ~ c2_1(a731) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f753,plain,
    ( ~ spl0_123
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f91,f177,f750]) ).

fof(f91,axiom,
    ( ~ hskp18
    | ~ c2_1(a775) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f736,plain,
    ( ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f109,f733,f355]) ).

fof(f109,axiom,
    ( ~ c1_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f730,plain,
    ( ~ spl0_30
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f89,f727,f303]) ).

fof(f303,plain,
    ( spl0_30
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f89,axiom,
    ( ~ c0_1(a777)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f716,plain,
    ( ~ spl0_6
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f122,f713,f199]) ).

fof(f122,axiom,
    ( ~ c1_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f711,plain,
    ( ~ spl0_87
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f120,f708,f571]) ).

fof(f120,axiom,
    ( ~ c3_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f701,plain,
    ( spl0_113
    | ~ spl0_8
    | spl0_53
    | spl0_85 ),
    inference(avatar_split_clause,[],[f171,f560,f407,f208,f699]) ).

fof(f171,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c3_1(X2)
      | ~ c0_1(X0)
      | c0_1(X2)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f697,plain,
    ( spl0_112
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f60,f270,f694]) ).

fof(f60,axiom,
    ( ~ hskp16
    | c2_1(a764) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f692,plain,
    ( ~ spl0_111
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f92,f177,f689]) ).

fof(f92,axiom,
    ( ~ hskp18
    | ~ c3_1(a775) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f686,plain,
    ( spl0_10
    | spl0_32
    | spl0_64
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f149,f208,f458,f312,f215]) ).

fof(f149,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0)
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f685,plain,
    ( spl0_110
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f55,f303,f682]) ).

fof(f55,axiom,
    ( ~ hskp19
    | c2_1(a777) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f680,plain,
    ( ~ spl0_8
    | spl0_29
    | spl0_97
    | spl0_109 ),
    inference(avatar_split_clause,[],[f140,f677,f620,f299,f208]) ).

fof(f140,axiom,
    ! [X0] :
      ( hskp20
      | ~ c3_1(X0)
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f675,plain,
    ( ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f105,f672,f229]) ).

fof(f229,plain,
    ( spl0_13
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f105,axiom,
    ( ~ c2_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f670,plain,
    ( spl0_76
    | spl0_24
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f143,f208,f277,f514]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | hskp21
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f669,plain,
    ( spl0_29
    | ~ spl0_8
    | spl0_32
    | spl0_84 ),
    inference(avatar_split_clause,[],[f161,f557,f312,f208,f299]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c3_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f663,plain,
    ( ~ spl0_106
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f82,f260,f660]) ).

fof(f82,axiom,
    ( ~ hskp24
    | ~ c3_1(a802) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f653,plain,
    ( spl0_104
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f75,f321,f650]) ).

fof(f321,plain,
    ( spl0_34
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f75,axiom,
    ( ~ hskp4
    | c1_1(a734) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f635,plain,
    ( ~ spl0_76
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f86,f632,f514]) ).

fof(f86,axiom,
    ( ~ c2_1(a793)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f630,plain,
    ( ~ spl0_42
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f108,f627,f355]) ).

fof(f108,axiom,
    ( ~ c0_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f625,plain,
    ( ~ spl0_8
    | spl0_41
    | spl0_97
    | spl0_98 ),
    inference(avatar_split_clause,[],[f175,f623,f620,f351,f208]) ).

fof(f175,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X2)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f618,plain,
    ( spl0_96
    | spl0_15
    | spl0_84
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f173,f208,f557,f238,f616]) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | c3_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f614,plain,
    ( ~ spl0_87
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f118,f611,f571]) ).

fof(f118,axiom,
    ( ~ c0_1(a732)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f609,plain,
    ( ~ spl0_6
    | spl0_94 ),
    inference(avatar_split_clause,[],[f79,f606,f199]) ).

fof(f79,axiom,
    ( c0_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f604,plain,
    ( ~ spl0_8
    | spl0_38
    | spl0_45
    | spl0_17 ),
    inference(avatar_split_clause,[],[f157,f246,f369,f338,f208]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( hskp11
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f603,plain,
    ( ~ spl0_93
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f81,f260,f600]) ).

fof(f81,axiom,
    ( ~ hskp24
    | ~ c2_1(a802) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f598,plain,
    ( ~ spl0_29
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f113,f595,f299]) ).

fof(f113,axiom,
    ( ~ c0_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f584,plain,
    ( spl0_89
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f65,f440,f581]) ).

fof(f65,axiom,
    ( ~ hskp13
    | c3_1(a759) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f579,plain,
    ( ~ spl0_17
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f101,f576,f246]) ).

fof(f101,axiom,
    ( ~ c1_1(a749)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f569,plain,
    ( spl0_86
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f45,f215,f566]) ).

fof(f45,axiom,
    ( ~ hskp25
    | c0_1(a729) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f562,plain,
    ( ~ spl0_8
    | spl0_84
    | spl0_85
    | spl0_9 ),
    inference(avatar_split_clause,[],[f170,f212,f560,f557,f208]) ).

fof(f170,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X2)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f555,plain,
    ( ~ spl0_30
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f90,f552,f303]) ).

fof(f90,axiom,
    ( ~ c3_1(a777)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f550,plain,
    ( ~ spl0_13
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f104,f547,f229]) ).

fof(f104,axiom,
    ( ~ c1_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f540,plain,
    ( ~ spl0_80
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f94,f270,f537]) ).

fof(f94,axiom,
    ( ~ hskp16
    | ~ c3_1(a764) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f534,plain,
    ( ~ spl0_39
    | spl0_79 ),
    inference(avatar_split_clause,[],[f70,f531,f342]) ).

fof(f342,plain,
    ( spl0_39
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f70,axiom,
    ( c1_1(a741)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f527,plain,
    ( ~ spl0_61
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f524,f445]) ).

fof(f117,axiom,
    ( ~ c1_1(a733)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f522,plain,
    ( spl0_77
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f49,f190,f519]) ).

fof(f49,axiom,
    ( ~ hskp23
    | c0_1(a798) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f517,plain,
    ( spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f52,f514,f510]) ).

fof(f52,axiom,
    ( ~ hskp21
    | c0_1(a793) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f508,plain,
    ( spl0_74
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f59,f270,f505]) ).

fof(f59,axiom,
    ( ~ hskp16
    | c0_1(a764) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f498,plain,
    ( spl0_39
    | spl0_71
    | spl0_72
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f151,f208,f496,f493,f342]) ).

fof(f151,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f490,plain,
    ( ~ spl0_60
    | spl0_70 ),
    inference(avatar_split_clause,[],[f64,f487,f440]) ).

fof(f64,axiom,
    ( c2_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f471,plain,
    ( spl0_66
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f71,f342,f468]) ).

fof(f71,axiom,
    ( ~ hskp7
    | c3_1(a741) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f460,plain,
    ( spl0_63
    | ~ spl0_8
    | spl0_64
    | spl0_6 ),
    inference(avatar_split_clause,[],[f123,f199,f458,f208,f454]) ).

fof(f123,axiom,
    ! [X0] :
      ( hskp0
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp1
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f443,plain,
    ( spl0_60
    | spl0_20
    | spl0_4 ),
    inference(avatar_split_clause,[],[f32,f190,f260,f440]) ).

fof(f32,axiom,
    ( hskp23
    | hskp24
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f419,plain,
    ( ~ spl0_55
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f102,f246,f416]) ).

fof(f102,axiom,
    ( ~ hskp11
    | ~ c3_1(a749) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f409,plain,
    ( spl0_29
    | ~ spl0_8
    | spl0_34
    | spl0_53 ),
    inference(avatar_split_clause,[],[f124,f407,f321,f208,f299]) ).

fof(f124,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c1_1(X0)
      | hskp4
      | ~ ndr1_0
      | hskp5
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f382,plain,
    ( ~ spl0_34
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f114,f379,f321]) ).

fof(f114,axiom,
    ( ~ c0_1(a734)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f377,plain,
    ( ~ spl0_46
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f112,f204,f374]) ).

fof(f112,axiom,
    ( ~ hskp6
    | ~ c2_1(a738) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f371,plain,
    ( spl0_13
    | ~ spl0_8
    | spl0_41
    | spl0_45 ),
    inference(avatar_split_clause,[],[f156,f369,f351,f208,f229]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp10
      | ~ c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f367,plain,
    ( ~ spl0_12
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f107,f364,f224]) ).

fof(f107,axiom,
    ( ~ c2_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f362,plain,
    ( ~ spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f69,f359,f355]) ).

fof(f69,axiom,
    ( c3_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f353,plain,
    ( ~ spl0_8
    | spl0_41
    | spl0_31
    | spl0_9 ),
    inference(avatar_split_clause,[],[f174,f212,f308,f351,f208]) ).

fof(f174,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | ~ c3_1(X0)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f349,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f110,f346,f342]) ).

fof(f110,axiom,
    ( ~ c0_1(a741)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f340,plain,
    ( spl0_37
    | ~ spl0_8
    | spl0_38
    | spl0_9 ),
    inference(avatar_split_clause,[],[f172,f212,f338,f208,f335]) ).

fof(f172,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f333,plain,
    ( ~ spl0_10
    | spl0_36 ),
    inference(avatar_split_clause,[],[f46,f330,f215]) ).

fof(f46,axiom,
    ( c2_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f328,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f115,f325,f321]) ).

fof(f115,axiom,
    ( ~ c3_1(a734)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f319,plain,
    ( ~ spl0_7
    | spl0_33 ),
    inference(avatar_split_clause,[],[f72,f316,f204]) ).

fof(f72,axiom,
    ( c1_1(a738)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f306,plain,
    ( spl0_6
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f34,f303,f299,f199]) ).

fof(f34,axiom,
    ( hskp19
    | hskp5
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f240,plain,
    ( spl0_10
    | ~ spl0_8
    | spl0_12
    | spl0_15 ),
    inference(avatar_split_clause,[],[f135,f238,f224,f208,f215]) ).

fof(f135,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp9
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f236,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f103,f233,f229]) ).

fof(f103,axiom,
    ( ~ c0_1(a748)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f227,plain,
    ( spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f68,f224,f220]) ).

fof(f68,axiom,
    ( ~ hskp9
    | c3_1(a746) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f218,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f130,f215,f212,f208,f204]) ).

fof(f130,axiom,
    ! [X0] :
      ( hskp25
      | c2_1(X0)
      | ~ ndr1_0
      | hskp6
      | c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f202,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f80,f199,f195]) ).

fof(f80,axiom,
    ( ~ hskp0
    | c3_1(a730) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f193,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f50,f190,f186]) ).

fof(f50,axiom,
    ( ~ hskp23
    | c1_1(a798) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f184,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f56,f181,f177]) ).

fof(f56,axiom,
    ( c1_1(a775)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN451-1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:00:11 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.32/0.56  % (22129)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.57  % (22145)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.56/0.57  % (22137)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.56/0.58  % (22129)Instruction limit reached!
% 1.56/0.58  % (22129)------------------------------
% 1.56/0.58  % (22129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58  % (22129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58  % (22129)Termination reason: Unknown
% 1.56/0.58  % (22129)Termination phase: Saturation
% 1.56/0.58  
% 1.56/0.58  % (22129)Memory used [KB]: 6012
% 1.56/0.58  % (22129)Time elapsed: 0.141 s
% 1.56/0.58  % (22129)Instructions burned: 7 (million)
% 1.56/0.58  % (22129)------------------------------
% 1.56/0.58  % (22129)------------------------------
% 1.56/0.58  % (22136)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.56/0.59  % (22128)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.59  Detected maximum model sizes of [29]
% 1.56/0.59  % (22144)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.56/0.60  TRYING [1]
% 1.56/0.60  TRYING [2]
% 1.56/0.61  % (22122)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.56/0.61  TRYING [3]
% 1.56/0.61  % (22127)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.56/0.61  % (22125)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.62  % (22139)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.56/0.62  TRYING [4]
% 1.56/0.62  % (22124)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.56/0.62  % (22126)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.62  % (22131)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.63  % (22143)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.56/0.63  % (22142)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.56/0.63  % (22140)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.63  % (22141)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.63  % (22146)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.63  % (22123)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.63  % (22135)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.63  % (22132)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.63  % (22133)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.64  % (22147)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.56/0.64  % (22148)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.56/0.64  % (22138)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.64  % (22134)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.56/0.64  Detected maximum model sizes of [29]
% 1.56/0.64  TRYING [1]
% 1.56/0.64  TRYING [2]
% 1.56/0.65  % (22130)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.56/0.65  % (22151)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.56/0.65  % (22149)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.56/0.65  % (22130)Instruction limit reached!
% 1.56/0.65  % (22130)------------------------------
% 1.56/0.65  % (22130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.65  % (22130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.65  % (22130)Termination reason: Unknown
% 1.56/0.65  % (22130)Termination phase: shuffling
% 1.56/0.65  
% 1.56/0.65  % (22130)Memory used [KB]: 1023
% 1.56/0.65  % (22130)Time elapsed: 0.004 s
% 1.56/0.65  % (22130)Instructions burned: 2 (million)
% 1.56/0.65  % (22130)------------------------------
% 1.56/0.65  % (22130)------------------------------
% 1.56/0.65  TRYING [3]
% 1.56/0.65  % (22150)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.56/0.65  Detected maximum model sizes of [29]
% 1.56/0.65  TRYING [1]
% 1.56/0.66  TRYING [2]
% 1.56/0.66  TRYING [3]
% 2.33/0.67  TRYING [5]
% 2.33/0.67  % (22128)Instruction limit reached!
% 2.33/0.67  % (22128)------------------------------
% 2.33/0.67  % (22128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.67  TRYING [4]
% 2.33/0.67  % (22128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.67  % (22128)Termination reason: Unknown
% 2.33/0.67  % (22128)Termination phase: Finite model building SAT solving
% 2.33/0.67  
% 2.33/0.67  % (22128)Memory used [KB]: 6012
% 2.33/0.67  % (22128)Time elapsed: 0.228 s
% 2.33/0.67  % (22128)Instructions burned: 53 (million)
% 2.33/0.67  % (22128)------------------------------
% 2.33/0.67  % (22128)------------------------------
% 2.33/0.68  TRYING [4]
% 2.33/0.69  % (22137)Instruction limit reached!
% 2.33/0.69  % (22137)------------------------------
% 2.33/0.69  % (22137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.70  TRYING [5]
% 2.55/0.70  % (22124)Instruction limit reached!
% 2.55/0.70  % (22124)------------------------------
% 2.55/0.70  % (22124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.70  % (22124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.70  % (22124)Termination reason: Unknown
% 2.55/0.70  % (22124)Termination phase: Saturation
% 2.55/0.70  
% 2.55/0.70  % (22124)Memory used [KB]: 1279
% 2.55/0.70  % (22124)Time elapsed: 0.252 s
% 2.55/0.70  % (22124)Instructions burned: 37 (million)
% 2.55/0.70  % (22124)------------------------------
% 2.55/0.70  % (22124)------------------------------
% 2.55/0.71  % (22137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.71  % (22137)Termination reason: Unknown
% 2.55/0.71  % (22137)Termination phase: Saturation
% 2.55/0.71  
% 2.55/0.71  % (22137)Memory used [KB]: 1279
% 2.55/0.71  % (22137)Time elapsed: 0.253 s
% 2.55/0.71  % (22137)Instructions burned: 75 (million)
% 2.55/0.71  % (22137)------------------------------
% 2.55/0.71  % (22137)------------------------------
% 2.55/0.71  % (22125)First to succeed.
% 2.55/0.71  % (22136)Instruction limit reached!
% 2.55/0.71  % (22136)------------------------------
% 2.55/0.71  % (22136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.71  % (22125)Refutation found. Thanks to Tanya!
% 2.55/0.71  % SZS status Unsatisfiable for theBenchmark
% 2.55/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.55/0.72  % (22125)------------------------------
% 2.55/0.72  % (22125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.72  % (22125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.72  % (22125)Termination reason: Refutation
% 2.55/0.72  
% 2.55/0.72  % (22125)Memory used [KB]: 6652
% 2.55/0.72  % (22125)Time elapsed: 0.281 s
% 2.55/0.72  % (22125)Instructions burned: 37 (million)
% 2.55/0.72  % (22125)------------------------------
% 2.55/0.72  % (22125)------------------------------
% 2.55/0.72  % (22121)Success in time 0.346 s
%------------------------------------------------------------------------------