TSTP Solution File: SYN450-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN450-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 May  1 04:34:40 EDT 2024

% Result   : Unsatisfiable 0.58s 0.81s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  241
% Syntax   : Number of formulae    :  549 (   1 unt;   0 def)
%            Number of atoms       : 1687 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1954 ( 816   ~;1001   |;   0   &)
%                                         ( 137 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  167 ( 166 usr; 163 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :   99 (  99   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2267,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f264,f329,f335,f336,f337,f360,f365,f370,f375,f380,f385,f390,f395,f400,f410,f425,f430,f435,f440,f445,f450,f455,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f590,f595,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f680,f685,f690,f695,f700,f705,f725,f730,f735,f740,f745,f750,f755,f760,f765,f770,f775,f780,f785,f790,f794,f798,f803,f807,f811,f815,f819,f820,f833,f834,f838,f839,f843,f845,f855,f877,f881,f885,f893,f898,f904,f905,f906,f911,f916,f918,f926,f932,f933,f946,f961,f966,f967,f972,f988,f993,f1007,f1012,f1031,f1036,f1037,f1068,f1069,f1070,f1098,f1100,f1101,f1133,f1135,f1166,f1167,f1168,f1202,f1243,f1244,f1264,f1265,f1283,f1327,f1375,f1384,f1447,f1449,f1452,f1466,f1481,f1560,f1561,f1629,f1684,f1690,f1697,f1698,f1704,f1741,f1758,f1834,f1840,f1878,f1896,f1947,f1948,f1949,f1974,f1975,f1978,f1986,f1998,f2001,f2027,f2034,f2035,f2089,f2125,f2179,f2218,f2266]) ).

fof(f2266,plain,
    ( spl0_153
    | spl0_82
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2258,f866,f407,f592,f949]) ).

fof(f949,plain,
    ( spl0_153
  <=> c1_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f592,plain,
    ( spl0_82
  <=> c3_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f407,plain,
    ( spl0_45
  <=> c2_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f866,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2258,plain,
    ( c3_1(a695)
    | c1_1(a695)
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(resolution,[],[f867,f409]) ).

fof(f409,plain,
    ( c2_1(a695)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f2218,plain,
    ( ~ spl0_48
    | ~ spl0_49
    | ~ spl0_137
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2207,f963,f862,f427,f422]) ).

fof(f422,plain,
    ( spl0_48
  <=> c1_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f427,plain,
    ( spl0_49
  <=> c2_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f862,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f963,plain,
    ( spl0_154
  <=> c0_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2207,plain,
    ( ~ c2_1(a686)
    | ~ c1_1(a686)
    | ~ spl0_137
    | ~ spl0_154 ),
    inference(resolution,[],[f863,f965]) ).

fof(f965,plain,
    ( c0_1(a686)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f2179,plain,
    ( spl0_91
    | spl0_92
    | ~ spl0_143
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2171,f985,f887,f642,f637]) ).

fof(f637,plain,
    ( spl0_91
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f642,plain,
    ( spl0_92
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f887,plain,
    ( spl0_143
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f985,plain,
    ( spl0_156
  <=> c0_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2171,plain,
    ( c3_1(a675)
    | c1_1(a675)
    | ~ spl0_143
    | ~ spl0_156 ),
    inference(resolution,[],[f888,f987]) ).

fof(f987,plain,
    ( c0_1(a675)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f888,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f2125,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_45
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2115,f809,f407,f592,f587]) ).

fof(f587,plain,
    ( spl0_81
  <=> c0_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f809,plain,
    ( spl0_126
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2115,plain,
    ( c3_1(a695)
    | c0_1(a695)
    | ~ spl0_45
    | ~ spl0_126 ),
    inference(resolution,[],[f810,f409]) ).

fof(f810,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f2089,plain,
    ( ~ spl0_73
    | spl0_120
    | ~ spl0_72
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2087,f831,f542,f782,f547]) ).

fof(f547,plain,
    ( spl0_73
  <=> c3_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f782,plain,
    ( spl0_120
  <=> c1_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f542,plain,
    ( spl0_72
  <=> c0_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f831,plain,
    ( spl0_131
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2087,plain,
    ( c1_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_72
    | ~ spl0_131 ),
    inference(resolution,[],[f832,f544]) ).

fof(f544,plain,
    ( c0_1(a642)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f832,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f2035,plain,
    ( spl0_120
    | spl0_169
    | ~ spl0_72
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1971,f890,f542,f1130,f782]) ).

fof(f1130,plain,
    ( spl0_169
  <=> c2_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f890,plain,
    ( spl0_144
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1971,plain,
    ( c2_1(a642)
    | c1_1(a642)
    | ~ spl0_72
    | ~ spl0_144 ),
    inference(resolution,[],[f891,f544]) ).

fof(f891,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f2034,plain,
    ( ~ spl0_62
    | spl0_166
    | ~ spl0_61
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1752,f852,f487,f1103,f492]) ).

fof(f492,plain,
    ( spl0_62
  <=> c2_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1103,plain,
    ( spl0_166
  <=> c3_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f487,plain,
    ( spl0_61
  <=> c0_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f852,plain,
    ( spl0_135
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1752,plain,
    ( c3_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_61
    | ~ spl0_135 ),
    inference(resolution,[],[f853,f489]) ).

fof(f489,plain,
    ( c0_1(a656)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f853,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f2027,plain,
    ( spl0_81
    | spl0_153
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2016,f801,f407,f949,f587]) ).

fof(f801,plain,
    ( spl0_124
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2016,plain,
    ( c1_1(a695)
    | c0_1(a695)
    | ~ spl0_45
    | ~ spl0_124 ),
    inference(resolution,[],[f802,f409]) ).

fof(f802,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f2001,plain,
    ( spl0_164
    | spl0_108
    | ~ spl0_63
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1999,f890,f497,f722,f1073]) ).

fof(f1073,plain,
    ( spl0_164
  <=> c1_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f722,plain,
    ( spl0_108
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f497,plain,
    ( spl0_63
  <=> c0_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1999,plain,
    ( c2_1(a652)
    | c1_1(a652)
    | ~ spl0_63
    | ~ spl0_144 ),
    inference(resolution,[],[f499,f891]) ).

fof(f499,plain,
    ( c0_1(a652)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1998,plain,
    ( spl0_90
    | ~ spl0_51
    | ~ spl0_52
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1997,f896,f442,f437,f632]) ).

fof(f632,plain,
    ( spl0_90
  <=> c2_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f437,plain,
    ( spl0_51
  <=> c0_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f442,plain,
    ( spl0_52
  <=> c1_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f896,plain,
    ( spl0_145
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1997,plain,
    ( ~ c0_1(a676)
    | c2_1(a676)
    | ~ spl0_52
    | ~ spl0_145 ),
    inference(resolution,[],[f444,f897]) ).

fof(f897,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f444,plain,
    ( c1_1(a676)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1986,plain,
    ( ~ spl0_37
    | ~ spl0_165
    | ~ spl0_36
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1953,f908,f362,f1095,f367]) ).

fof(f367,plain,
    ( spl0_37
  <=> c2_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1095,plain,
    ( spl0_165
  <=> c3_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f362,plain,
    ( spl0_36
  <=> c1_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f908,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1953,plain,
    ( ~ c3_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_36
    | ~ spl0_147 ),
    inference(resolution,[],[f364,f909]) ).

fof(f909,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f364,plain,
    ( c1_1(a671)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f1978,plain,
    ( spl0_90
    | ~ spl0_52
    | ~ spl0_134
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1538,f1261,f847,f442,f632]) ).

fof(f847,plain,
    ( spl0_134
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1261,plain,
    ( spl0_172
  <=> c3_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1538,plain,
    ( ~ c1_1(a676)
    | c2_1(a676)
    | ~ spl0_134
    | ~ spl0_172 ),
    inference(resolution,[],[f848,f1262]) ).

fof(f1262,plain,
    ( c3_1(a676)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f848,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f1975,plain,
    ( spl0_179
    | spl0_111
    | ~ spl0_66
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1970,f890,f512,f737,f1515]) ).

fof(f1515,plain,
    ( spl0_179
  <=> c1_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f737,plain,
    ( spl0_111
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f512,plain,
    ( spl0_66
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1970,plain,
    ( c2_1(a648)
    | c1_1(a648)
    | ~ spl0_66
    | ~ spl0_144 ),
    inference(resolution,[],[f891,f514]) ).

fof(f514,plain,
    ( c0_1(a648)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f1974,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_58
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1968,f890,f472,f692,f687]) ).

fof(f687,plain,
    ( spl0_101
  <=> c1_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f692,plain,
    ( spl0_102
  <=> c2_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f472,plain,
    ( spl0_58
  <=> c0_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1968,plain,
    ( c2_1(a660)
    | c1_1(a660)
    | ~ spl0_58
    | ~ spl0_144 ),
    inference(resolution,[],[f891,f474]) ).

fof(f474,plain,
    ( c0_1(a660)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1949,plain,
    ( ~ spl0_71
    | spl0_119
    | ~ spl0_70
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1944,f924,f532,f777,f537]) ).

fof(f537,plain,
    ( spl0_71
  <=> c2_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f777,plain,
    ( spl0_119
  <=> c0_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f532,plain,
    ( spl0_70
  <=> c1_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f924,plain,
    ( spl0_150
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1944,plain,
    ( c0_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_70
    | ~ spl0_150 ),
    inference(resolution,[],[f925,f534]) ).

fof(f534,plain,
    ( c1_1(a643)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f925,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f1948,plain,
    ( ~ spl0_176
    | spl0_113
    | ~ spl0_67
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1942,f924,f517,f747,f1371]) ).

fof(f1371,plain,
    ( spl0_176
  <=> c2_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f747,plain,
    ( spl0_113
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f517,plain,
    ( spl0_67
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1942,plain,
    ( c0_1(a647)
    | ~ c2_1(a647)
    | ~ spl0_67
    | ~ spl0_150 ),
    inference(resolution,[],[f925,f519]) ).

fof(f519,plain,
    ( c1_1(a647)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1947,plain,
    ( ~ spl0_49
    | spl0_154
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1940,f924,f422,f963,f427]) ).

fof(f1940,plain,
    ( c0_1(a686)
    | ~ c2_1(a686)
    | ~ spl0_48
    | ~ spl0_150 ),
    inference(resolution,[],[f925,f424]) ).

fof(f424,plain,
    ( c1_1(a686)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1896,plain,
    ( spl0_111
    | ~ spl0_66
    | ~ spl0_145
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1888,f1515,f896,f512,f737]) ).

fof(f1888,plain,
    ( ~ c0_1(a648)
    | c2_1(a648)
    | ~ spl0_145
    | ~ spl0_179 ),
    inference(resolution,[],[f897,f1517]) ).

fof(f1517,plain,
    ( c1_1(a648)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1515]) ).

fof(f1878,plain,
    ( spl0_99
    | spl0_177
    | ~ spl0_57
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1868,f890,f467,f1381,f677]) ).

fof(f677,plain,
    ( spl0_99
  <=> c1_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1381,plain,
    ( spl0_177
  <=> c2_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f467,plain,
    ( spl0_57
  <=> c0_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1868,plain,
    ( c2_1(a661)
    | c1_1(a661)
    | ~ spl0_57
    | ~ spl0_144 ),
    inference(resolution,[],[f891,f469]) ).

fof(f469,plain,
    ( c0_1(a661)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1840,plain,
    ( spl0_109
    | spl0_160
    | ~ spl0_65
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1828,f883,f507,f1033,f727]) ).

fof(f727,plain,
    ( spl0_109
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1033,plain,
    ( spl0_160
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f507,plain,
    ( spl0_65
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f883,plain,
    ( spl0_142
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1828,plain,
    ( c2_1(a651)
    | c0_1(a651)
    | ~ spl0_65
    | ~ spl0_142 ),
    inference(resolution,[],[f884,f509]) ).

fof(f509,plain,
    ( c3_1(a651)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f884,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f1834,plain,
    ( spl0_175
    | spl0_89
    | ~ spl0_50
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1820,f883,f432,f627,f1361]) ).

fof(f1361,plain,
    ( spl0_175
  <=> c0_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f627,plain,
    ( spl0_89
  <=> c2_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f432,plain,
    ( spl0_50
  <=> c3_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1820,plain,
    ( c2_1(a682)
    | c0_1(a682)
    | ~ spl0_50
    | ~ spl0_142 ),
    inference(resolution,[],[f884,f434]) ).

fof(f434,plain,
    ( c3_1(a682)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f1758,plain,
    ( ~ spl0_49
    | spl0_87
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1748,f963,f852,f617,f427]) ).

fof(f617,plain,
    ( spl0_87
  <=> c3_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1748,plain,
    ( c3_1(a686)
    | ~ c2_1(a686)
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(resolution,[],[f853,f965]) ).

fof(f1741,plain,
    ( spl0_176
    | spl0_114
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1732,f822,f517,f752,f1371]) ).

fof(f752,plain,
    ( spl0_114
  <=> c3_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f822,plain,
    ( spl0_129
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1732,plain,
    ( c3_1(a647)
    | c2_1(a647)
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(resolution,[],[f823,f519]) ).

fof(f823,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f1704,plain,
    ( ~ spl0_166
    | spl0_104
    | ~ spl0_61
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1656,f831,f487,f702,f1103]) ).

fof(f702,plain,
    ( spl0_104
  <=> c1_1(a656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1656,plain,
    ( c1_1(a656)
    | ~ c3_1(a656)
    | ~ spl0_61
    | ~ spl0_131 ),
    inference(resolution,[],[f832,f489]) ).

fof(f1698,plain,
    ( spl0_93
    | spl0_94
    | ~ spl0_128
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1643,f1280,f817,f652,f647]) ).

fof(f647,plain,
    ( spl0_93
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f652,plain,
    ( spl0_94
  <=> c3_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f817,plain,
    ( spl0_128
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1280,plain,
    ( spl0_173
  <=> c0_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1643,plain,
    ( c3_1(a672)
    | c2_1(a672)
    | ~ spl0_128
    | ~ spl0_173 ),
    inference(resolution,[],[f1282,f818]) ).

fof(f818,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f1282,plain,
    ( c0_1(a672)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f1697,plain,
    ( ~ spl0_75
    | spl0_121
    | ~ spl0_131
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1657,f990,f831,f787,f557]) ).

fof(f557,plain,
    ( spl0_75
  <=> c3_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f787,plain,
    ( spl0_121
  <=> c1_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f990,plain,
    ( spl0_157
  <=> c0_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1657,plain,
    ( c1_1(a641)
    | ~ c3_1(a641)
    | ~ spl0_131
    | ~ spl0_157 ),
    inference(resolution,[],[f832,f992]) ).

fof(f992,plain,
    ( c0_1(a641)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f1690,plain,
    ( spl0_109
    | spl0_110
    | ~ spl0_65
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1675,f879,f507,f732,f727]) ).

fof(f732,plain,
    ( spl0_110
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f879,plain,
    ( spl0_141
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1675,plain,
    ( c1_1(a651)
    | c0_1(a651)
    | ~ spl0_65
    | ~ spl0_141 ),
    inference(resolution,[],[f880,f509]) ).

fof(f880,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f1684,plain,
    ( spl0_175
    | spl0_88
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1668,f879,f432,f622,f1361]) ).

fof(f622,plain,
    ( spl0_88
  <=> c1_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1668,plain,
    ( c1_1(a682)
    | c0_1(a682)
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(resolution,[],[f880,f434]) ).

fof(f1629,plain,
    ( spl0_116
    | spl0_115
    | spl0_117
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1624,f873,f767,f757,f762]) ).

fof(f762,plain,
    ( spl0_116
  <=> c2_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f757,plain,
    ( spl0_115
  <=> c1_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f767,plain,
    ( spl0_117
  <=> c3_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f873,plain,
    ( spl0_140
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1624,plain,
    ( c1_1(a646)
    | c2_1(a646)
    | spl0_117
    | ~ spl0_140 ),
    inference(resolution,[],[f874,f769]) ).

fof(f769,plain,
    ( ~ c3_1(a646)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f874,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f1561,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_138
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1555,f1381,f866,f682,f677]) ).

fof(f682,plain,
    ( spl0_100
  <=> c3_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1555,plain,
    ( c3_1(a661)
    | c1_1(a661)
    | ~ spl0_138
    | ~ spl0_177 ),
    inference(resolution,[],[f867,f1382]) ).

fof(f1382,plain,
    ( c2_1(a661)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1381]) ).

fof(f1560,plain,
    ( spl0_91
    | spl0_92
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1554,f866,f447,f642,f637]) ).

fof(f447,plain,
    ( spl0_53
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1554,plain,
    ( c3_1(a675)
    | c1_1(a675)
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(resolution,[],[f867,f449]) ).

fof(f449,plain,
    ( c2_1(a675)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1481,plain,
    ( ~ spl0_50
    | spl0_89
    | ~ spl0_133
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1388,f1361,f841,f627,f432]) ).

fof(f841,plain,
    ( spl0_133
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1388,plain,
    ( c2_1(a682)
    | ~ c3_1(a682)
    | ~ spl0_133
    | ~ spl0_175 ),
    inference(resolution,[],[f1363,f842]) ).

fof(f842,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f1363,plain,
    ( c0_1(a682)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1361]) ).

fof(f1466,plain,
    ( spl0_154
    | spl0_87
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1456,f809,f427,f617,f963]) ).

fof(f1456,plain,
    ( c3_1(a686)
    | c0_1(a686)
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(resolution,[],[f810,f429]) ).

fof(f429,plain,
    ( c2_1(a686)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1452,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_66
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1451,f817,f512,f742,f737]) ).

fof(f742,plain,
    ( spl0_112
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1451,plain,
    ( c3_1(a648)
    | c2_1(a648)
    | ~ spl0_66
    | ~ spl0_128 ),
    inference(resolution,[],[f514,f818]) ).

fof(f1449,plain,
    ( spl0_118
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1437,f847,f527,f522,f772]) ).

fof(f772,plain,
    ( spl0_118
  <=> c2_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f522,plain,
    ( spl0_68
  <=> c1_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f527,plain,
    ( spl0_69
  <=> c3_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1437,plain,
    ( ~ c1_1(a645)
    | c2_1(a645)
    | ~ spl0_69
    | ~ spl0_134 ),
    inference(resolution,[],[f848,f529]) ).

fof(f529,plain,
    ( c3_1(a645)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1447,plain,
    ( spl0_108
    | ~ spl0_164
    | ~ spl0_64
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1434,f847,f502,f1073,f722]) ).

fof(f502,plain,
    ( spl0_64
  <=> c3_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1434,plain,
    ( ~ c1_1(a652)
    | c2_1(a652)
    | ~ spl0_64
    | ~ spl0_134 ),
    inference(resolution,[],[f848,f504]) ).

fof(f504,plain,
    ( c3_1(a652)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f1384,plain,
    ( ~ spl0_177
    | spl0_100
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1377,f852,f467,f682,f1381]) ).

fof(f1377,plain,
    ( c3_1(a661)
    | ~ c2_1(a661)
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(resolution,[],[f469,f853]) ).

fof(f1375,plain,
    ( spl0_119
    | ~ spl0_71
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1350,f969,f826,f537,f777]) ).

fof(f826,plain,
    ( spl0_130
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f969,plain,
    ( spl0_155
  <=> c3_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1350,plain,
    ( ~ c2_1(a643)
    | c0_1(a643)
    | ~ spl0_130
    | ~ spl0_155 ),
    inference(resolution,[],[f827,f971]) ).

fof(f971,plain,
    ( c3_1(a643)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f827,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f1327,plain,
    ( spl0_110
    | spl0_160
    | ~ spl0_65
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1320,f813,f507,f1033,f732]) ).

fof(f813,plain,
    ( spl0_127
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1320,plain,
    ( c2_1(a651)
    | c1_1(a651)
    | ~ spl0_65
    | ~ spl0_127 ),
    inference(resolution,[],[f814,f509]) ).

fof(f814,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f1283,plain,
    ( spl0_173
    | spl0_94
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1278,f805,f452,f652,f1280]) ).

fof(f452,plain,
    ( spl0_54
  <=> c1_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f805,plain,
    ( spl0_125
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1278,plain,
    ( c3_1(a672)
    | c0_1(a672)
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(resolution,[],[f454,f806]) ).

fof(f806,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f454,plain,
    ( c1_1(a672)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f1265,plain,
    ( spl0_90
    | spl0_172
    | ~ spl0_51
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1259,f817,f437,f1261,f632]) ).

fof(f1259,plain,
    ( c3_1(a676)
    | c2_1(a676)
    | ~ spl0_51
    | ~ spl0_128 ),
    inference(resolution,[],[f439,f818]) ).

fof(f439,plain,
    ( c0_1(a676)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f1264,plain,
    ( ~ spl0_172
    | spl0_90
    | ~ spl0_51
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1258,f841,f437,f632,f1261]) ).

fof(f1258,plain,
    ( c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_51
    | ~ spl0_133 ),
    inference(resolution,[],[f439,f842]) ).

fof(f1244,plain,
    ( spl0_127
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1195,f841,f792,f813]) ).

fof(f792,plain,
    ( spl0_122
  <=> ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1195,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(duplicate_literal_removal,[],[f1178]) ).

fof(f1178,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_122
    | ~ spl0_133 ),
    inference(resolution,[],[f793,f842]) ).

fof(f793,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f1243,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_50
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1225,f813,f432,f627,f622]) ).

fof(f1225,plain,
    ( c2_1(a682)
    | c1_1(a682)
    | ~ spl0_50
    | ~ spl0_127 ),
    inference(resolution,[],[f814,f434]) ).

fof(f1202,plain,
    ( spl0_110
    | spl0_160
    | spl0_109
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1188,f792,f727,f1033,f732]) ).

fof(f1188,plain,
    ( c2_1(a651)
    | c1_1(a651)
    | spl0_109
    | ~ spl0_122 ),
    inference(resolution,[],[f793,f729]) ).

fof(f729,plain,
    ( ~ c0_1(a651)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f1168,plain,
    ( ~ spl0_42
    | ~ spl0_163
    | ~ spl0_41
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1161,f862,f387,f1065,f392]) ).

fof(f392,plain,
    ( spl0_42
  <=> c1_1(a640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1065,plain,
    ( spl0_163
  <=> c2_1(a640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f387,plain,
    ( spl0_41
  <=> c0_1(a640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1161,plain,
    ( ~ c2_1(a640)
    | ~ c1_1(a640)
    | ~ spl0_41
    | ~ spl0_137 ),
    inference(resolution,[],[f863,f389]) ).

fof(f389,plain,
    ( c0_1(a640)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f1167,plain,
    ( ~ spl0_159
    | ~ spl0_39
    | ~ spl0_38
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1160,f862,f372,f377,f1028]) ).

fof(f1028,plain,
    ( spl0_159
  <=> c1_1(a655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f377,plain,
    ( spl0_39
  <=> c2_1(a655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f372,plain,
    ( spl0_38
  <=> c0_1(a655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1160,plain,
    ( ~ c2_1(a655)
    | ~ c1_1(a655)
    | ~ spl0_38
    | ~ spl0_137 ),
    inference(resolution,[],[f863,f374]) ).

fof(f374,plain,
    ( c0_1(a655)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1166,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1159,f862,f357,f367,f362]) ).

fof(f357,plain,
    ( spl0_35
  <=> c0_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1159,plain,
    ( ~ c2_1(a671)
    | ~ c1_1(a671)
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(resolution,[],[f863,f359]) ).

fof(f359,plain,
    ( c0_1(a671)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f1135,plain,
    ( spl0_120
    | ~ spl0_169
    | ~ spl0_73
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1134,f836,f547,f1130,f782]) ).

fof(f836,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1134,plain,
    ( ~ c2_1(a642)
    | c1_1(a642)
    | ~ spl0_73
    | ~ spl0_132 ),
    inference(resolution,[],[f549,f837]) ).

fof(f837,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f549,plain,
    ( c3_1(a642)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f1133,plain,
    ( ~ spl0_73
    | spl0_169
    | ~ spl0_72
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1127,f841,f542,f1130,f547]) ).

fof(f1127,plain,
    ( c2_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_72
    | ~ spl0_133 ),
    inference(resolution,[],[f544,f842]) ).

fof(f1101,plain,
    ( ~ spl0_60
    | spl0_103
    | ~ spl0_59
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1088,f852,f477,f697,f482]) ).

fof(f482,plain,
    ( spl0_60
  <=> c2_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f697,plain,
    ( spl0_103
  <=> c3_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f477,plain,
    ( spl0_59
  <=> c0_1(a657) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1088,plain,
    ( c3_1(a657)
    | ~ c2_1(a657)
    | ~ spl0_59
    | ~ spl0_135 ),
    inference(resolution,[],[f853,f479]) ).

fof(f479,plain,
    ( c0_1(a657)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1100,plain,
    ( ~ spl0_53
    | spl0_92
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1087,f985,f852,f642,f447]) ).

fof(f1087,plain,
    ( c3_1(a675)
    | ~ c2_1(a675)
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(resolution,[],[f853,f987]) ).

fof(f1098,plain,
    ( ~ spl0_37
    | spl0_165
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1083,f852,f357,f1095,f367]) ).

fof(f1083,plain,
    ( c3_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(resolution,[],[f853,f359]) ).

fof(f1070,plain,
    ( ~ spl0_64
    | spl0_108
    | ~ spl0_63
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1061,f841,f497,f722,f502]) ).

fof(f1061,plain,
    ( c2_1(a652)
    | ~ c3_1(a652)
    | ~ spl0_63
    | ~ spl0_133 ),
    inference(resolution,[],[f842,f499]) ).

fof(f1069,plain,
    ( ~ spl0_158
    | spl0_102
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1058,f841,f472,f692,f1009]) ).

fof(f1009,plain,
    ( spl0_158
  <=> c3_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1058,plain,
    ( c2_1(a660)
    | ~ c3_1(a660)
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(resolution,[],[f842,f474]) ).

fof(f1068,plain,
    ( ~ spl0_43
    | spl0_163
    | ~ spl0_41
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1055,f841,f387,f1065,f397]) ).

fof(f397,plain,
    ( spl0_43
  <=> c3_1(a640) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1055,plain,
    ( c2_1(a640)
    | ~ c3_1(a640)
    | ~ spl0_41
    | ~ spl0_133 ),
    inference(resolution,[],[f842,f389]) ).

fof(f1037,plain,
    ( spl0_121
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1025,f836,f557,f552,f787]) ).

fof(f552,plain,
    ( spl0_74
  <=> c2_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1025,plain,
    ( ~ c2_1(a641)
    | c1_1(a641)
    | ~ spl0_75
    | ~ spl0_132 ),
    inference(resolution,[],[f837,f559]) ).

fof(f559,plain,
    ( c3_1(a641)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1036,plain,
    ( spl0_110
    | ~ spl0_160
    | ~ spl0_65
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1021,f836,f507,f1033,f732]) ).

fof(f1021,plain,
    ( ~ c2_1(a651)
    | c1_1(a651)
    | ~ spl0_65
    | ~ spl0_132 ),
    inference(resolution,[],[f837,f509]) ).

fof(f1031,plain,
    ( spl0_159
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1016,f836,f382,f377,f1028]) ).

fof(f382,plain,
    ( spl0_40
  <=> c3_1(a655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1016,plain,
    ( ~ c2_1(a655)
    | c1_1(a655)
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(resolution,[],[f837,f384]) ).

fof(f384,plain,
    ( c3_1(a655)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1012,plain,
    ( spl0_102
    | spl0_158
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1000,f817,f472,f1009,f692]) ).

fof(f1000,plain,
    ( c3_1(a660)
    | c2_1(a660)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f818,f474]) ).

fof(f1007,plain,
    ( spl0_140
    | ~ spl0_123
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1006,f817,f796,f873]) ).

fof(f796,plain,
    ( spl0_123
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_123
    | ~ spl0_128 ),
    inference(duplicate_literal_removal,[],[f994]) ).

fof(f994,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_123
    | ~ spl0_128 ),
    inference(resolution,[],[f818,f797]) ).

fof(f797,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f993,plain,
    ( spl0_157
    | spl0_121
    | ~ spl0_74
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f982,f801,f552,f787,f990]) ).

fof(f982,plain,
    ( c1_1(a641)
    | c0_1(a641)
    | ~ spl0_74
    | ~ spl0_124 ),
    inference(resolution,[],[f802,f554]) ).

fof(f554,plain,
    ( c2_1(a641)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f988,plain,
    ( spl0_156
    | spl0_91
    | ~ spl0_53
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f978,f801,f447,f637,f985]) ).

fof(f978,plain,
    ( c1_1(a675)
    | c0_1(a675)
    | ~ spl0_53
    | ~ spl0_124 ),
    inference(resolution,[],[f802,f449]) ).

fof(f972,plain,
    ( spl0_119
    | spl0_155
    | ~ spl0_70
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f960,f805,f532,f969,f777]) ).

fof(f960,plain,
    ( c3_1(a643)
    | c0_1(a643)
    | ~ spl0_70
    | ~ spl0_125 ),
    inference(resolution,[],[f806,f534]) ).

fof(f967,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_67
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f958,f805,f517,f752,f747]) ).

fof(f958,plain,
    ( c3_1(a647)
    | c0_1(a647)
    | ~ spl0_67
    | ~ spl0_125 ),
    inference(resolution,[],[f806,f519]) ).

fof(f966,plain,
    ( spl0_154
    | spl0_87
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f957,f805,f422,f617,f963]) ).

fof(f957,plain,
    ( c3_1(a686)
    | c0_1(a686)
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(resolution,[],[f806,f424]) ).

fof(f961,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_125
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f956,f949,f805,f592,f587]) ).

fof(f956,plain,
    ( c3_1(a695)
    | c0_1(a695)
    | ~ spl0_125
    | ~ spl0_153 ),
    inference(resolution,[],[f806,f951]) ).

fof(f951,plain,
    ( c1_1(a695)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f946,plain,
    ( spl0_85
    | spl0_86
    | spl0_84
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f940,f796,f602,f612,f607]) ).

fof(f607,plain,
    ( spl0_85
  <=> c1_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f612,plain,
    ( spl0_86
  <=> c3_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f602,plain,
    ( spl0_84
  <=> c0_1(a691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f940,plain,
    ( c3_1(a691)
    | c1_1(a691)
    | spl0_84
    | ~ spl0_123 ),
    inference(resolution,[],[f797,f604]) ).

fof(f604,plain,
    ( ~ c0_1(a691)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f933,plain,
    ( spl0_137
    | ~ spl0_2
    | spl0_132
    | spl0_150 ),
    inference(avatar_split_clause,[],[f179,f924,f836,f186,f862]) ).

fof(f186,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f179,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause179) ).

fof(f932,plain,
    ( ~ spl0_2
    | spl0_145
    | spl0_132
    | spl0_138 ),
    inference(avatar_split_clause,[],[f178,f866,f836,f896,f186]) ).

fof(f178,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause178) ).

fof(f926,plain,
    ( ~ spl0_2
    | spl0_144
    | spl0_150
    | spl0_125 ),
    inference(avatar_split_clause,[],[f175,f805,f924,f890,f186]) ).

fof(f175,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause175) ).

fof(f918,plain,
    ( ~ spl0_2
    | spl0_145
    | spl0_124
    | spl0_123 ),
    inference(avatar_split_clause,[],[f173,f796,f801,f896,f186]) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause173) ).

fof(f916,plain,
    ( spl0_147
    | ~ spl0_2
    | spl0_128
    | spl0_20 ),
    inference(avatar_split_clause,[],[f171,f276,f817,f186,f908]) ).

fof(f276,plain,
    ( spl0_20
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause171) ).

fof(f911,plain,
    ( spl0_137
    | ~ spl0_2
    | spl0_143
    | spl0_24 ),
    inference(avatar_split_clause,[],[f169,f296,f887,f186,f862]) ).

fof(f296,plain,
    ( spl0_24
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( hskp7
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause169) ).

fof(f906,plain,
    ( spl0_137
    | ~ spl0_2
    | spl0_141
    | spl0_23 ),
    inference(avatar_split_clause,[],[f167,f291,f879,f186,f862]) ).

fof(f291,plain,
    ( spl0_23
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( hskp8
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause167) ).

fof(f905,plain,
    ( ~ spl0_2
    | spl0_143
    | spl0_130
    | spl0_24 ),
    inference(avatar_split_clause,[],[f166,f296,f826,f887,f186]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( hskp7
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause166) ).

fof(f904,plain,
    ( ~ spl0_2
    | spl0_134
    | spl0_125
    | spl0_25 ),
    inference(avatar_split_clause,[],[f165,f301,f805,f847,f186]) ).

fof(f301,plain,
    ( spl0_25
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( hskp6
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause165) ).

fof(f898,plain,
    ( ~ spl0_2
    | spl0_145
    | spl0_142
    | spl0_21 ),
    inference(avatar_split_clause,[],[f162,f281,f883,f896,f186]) ).

fof(f281,plain,
    ( spl0_21
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause162) ).

fof(f893,plain,
    ( ~ spl0_2
    | spl0_135
    | spl0_128 ),
    inference(avatar_split_clause,[],[f160,f817,f852,f186]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause160) ).

fof(f885,plain,
    ( ~ spl0_2
    | spl0_127
    | spl0_142
    | spl0_4 ),
    inference(avatar_split_clause,[],[f158,f196,f883,f813,f186]) ).

fof(f196,plain,
    ( spl0_4
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause158) ).

fof(f881,plain,
    ( ~ spl0_2
    | spl0_129
    | spl0_141
    | spl0_29 ),
    inference(avatar_split_clause,[],[f157,f321,f879,f822,f186]) ).

fof(f321,plain,
    ( spl0_29
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause157) ).

fof(f877,plain,
    ( ~ spl0_2
    | spl0_138
    | spl0_124
    | spl0_26 ),
    inference(avatar_split_clause,[],[f156,f306,f801,f866,f186]) ).

fof(f306,plain,
    ( spl0_26
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause156) ).

fof(f855,plain,
    ( ~ spl0_2
    | spl0_135
    | spl0_19
    | spl0_11 ),
    inference(avatar_split_clause,[],[f149,f231,f271,f852,f186]) ).

fof(f271,plain,
    ( spl0_19
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f231,plain,
    ( spl0_11
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp20
      | hskp12
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause149) ).

fof(f845,plain,
    ( ~ spl0_2
    | spl0_133
    | spl0_26
    | spl0_8 ),
    inference(avatar_split_clause,[],[f145,f216,f306,f841,f186]) ).

fof(f216,plain,
    ( spl0_8
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp23
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause145) ).

fof(f843,plain,
    ( ~ spl0_2
    | spl0_133
    | spl0_20
    | spl0_10 ),
    inference(avatar_split_clause,[],[f143,f226,f276,f841,f186]) ).

fof(f226,plain,
    ( spl0_10
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp21
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause143) ).

fof(f839,plain,
    ( ~ spl0_2
    | spl0_132
    | spl0_14
    | spl0_12 ),
    inference(avatar_split_clause,[],[f142,f236,f246,f836,f186]) ).

fof(f246,plain,
    ( spl0_14
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f236,plain,
    ( spl0_12
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f142,axiom,
    ! [X0] :
      ( hskp19
      | hskp17
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause142) ).

fof(f838,plain,
    ( ~ spl0_2
    | spl0_132
    | spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f141,f296,f246,f836,f186]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp7
      | hskp17
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause141) ).

fof(f834,plain,
    ( ~ spl0_2
    | spl0_131
    | spl0_13
    | spl0_27 ),
    inference(avatar_split_clause,[],[f140,f311,f241,f831,f186]) ).

fof(f241,plain,
    ( spl0_13
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f311,plain,
    ( spl0_27
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f140,axiom,
    ! [X0] :
      ( hskp4
      | hskp18
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause140) ).

fof(f833,plain,
    ( ~ spl0_2
    | spl0_131
    | spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f139,f246,f191,f831,f186]) ).

fof(f191,plain,
    ( spl0_3
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f139,axiom,
    ! [X0] :
      ( hskp17
      | hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause139) ).

fof(f820,plain,
    ( ~ spl0_2
    | spl0_128
    | spl0_11
    | spl0_26 ),
    inference(avatar_split_clause,[],[f135,f306,f231,f817,f186]) ).

fof(f135,axiom,
    ! [X0] :
      ( hskp5
      | hskp20
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause135) ).

fof(f819,plain,
    ( ~ spl0_2
    | spl0_128
    | spl0_23
    | spl0_12 ),
    inference(avatar_split_clause,[],[f134,f236,f291,f817,f186]) ).

fof(f134,axiom,
    ! [X0] :
      ( hskp19
      | hskp8
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause134) ).

fof(f815,plain,
    ( ~ spl0_2
    | spl0_127
    | spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f133,f251,f191,f813,f186]) ).

fof(f251,plain,
    ( spl0_15
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f133,axiom,
    ! [X0] :
      ( hskp16
      | hskp28
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause133) ).

fof(f811,plain,
    ( ~ spl0_2
    | spl0_126
    | spl0_25
    | spl0_28 ),
    inference(avatar_split_clause,[],[f132,f316,f301,f809,f186]) ).

fof(f316,plain,
    ( spl0_28
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f132,axiom,
    ! [X0] :
      ( hskp3
      | hskp6
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause132) ).

fof(f807,plain,
    ( ~ spl0_2
    | spl0_125
    | spl0_19
    | spl0_18 ),
    inference(avatar_split_clause,[],[f131,f266,f271,f805,f186]) ).

fof(f266,plain,
    ( spl0_18
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f131,axiom,
    ! [X0] :
      ( hskp13
      | hskp12
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause131) ).

fof(f803,plain,
    ( ~ spl0_2
    | spl0_124
    | spl0_25
    | spl0_29 ),
    inference(avatar_split_clause,[],[f130,f321,f301,f801,f186]) ).

fof(f130,axiom,
    ! [X0] :
      ( hskp2
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause130) ).

fof(f798,plain,
    ( ~ spl0_2
    | spl0_123
    | spl0_29
    | spl0_31 ),
    inference(avatar_split_clause,[],[f128,f331,f321,f796,f186]) ).

fof(f331,plain,
    ( spl0_31
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f128,axiom,
    ! [X0] :
      ( hskp0
      | hskp2
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause128) ).

fof(f794,plain,
    ( ~ spl0_2
    | spl0_122
    | spl0_5
    | spl0_31 ),
    inference(avatar_split_clause,[],[f127,f331,f201,f792,f186]) ).

fof(f201,plain,
    ( spl0_5
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f127,axiom,
    ! [X0] :
      ( hskp0
      | hskp26
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause127) ).

fof(f790,plain,
    ( ~ spl0_121
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f126,f331,f787]) ).

fof(f126,axiom,
    ( ~ hskp0
    | ~ c1_1(a641) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause126) ).

fof(f785,plain,
    ( ~ spl0_120
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f125,f326,f782]) ).

fof(f326,plain,
    ( spl0_30
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f125,axiom,
    ( ~ hskp1
    | ~ c1_1(a642) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause125) ).

fof(f780,plain,
    ( ~ spl0_119
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f124,f321,f777]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c0_1(a643) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause124) ).

fof(f775,plain,
    ( ~ spl0_118
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f123,f316,f772]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause123) ).

fof(f770,plain,
    ( ~ spl0_117
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f122,f311,f767]) ).

fof(f122,axiom,
    ( ~ hskp4
    | ~ c3_1(a646) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause122) ).

fof(f765,plain,
    ( ~ spl0_116
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f121,f311,f762]) ).

fof(f121,axiom,
    ( ~ hskp4
    | ~ c2_1(a646) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause121) ).

fof(f760,plain,
    ( ~ spl0_115
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f120,f311,f757]) ).

fof(f120,axiom,
    ( ~ hskp4
    | ~ c1_1(a646) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause120) ).

fof(f755,plain,
    ( ~ spl0_114
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f119,f306,f752]) ).

fof(f119,axiom,
    ( ~ hskp5
    | ~ c3_1(a647) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause119) ).

fof(f750,plain,
    ( ~ spl0_113
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f118,f306,f747]) ).

fof(f118,axiom,
    ( ~ hskp5
    | ~ c0_1(a647) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause118) ).

fof(f745,plain,
    ( ~ spl0_112
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f117,f301,f742]) ).

fof(f117,axiom,
    ( ~ hskp6
    | ~ c3_1(a648) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause117) ).

fof(f740,plain,
    ( ~ spl0_111
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f116,f301,f737]) ).

fof(f116,axiom,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause116) ).

fof(f735,plain,
    ( ~ spl0_110
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f115,f296,f732]) ).

fof(f115,axiom,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause115) ).

fof(f730,plain,
    ( ~ spl0_109
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f114,f296,f727]) ).

fof(f114,axiom,
    ( ~ hskp7
    | ~ c0_1(a651) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause114) ).

fof(f725,plain,
    ( ~ spl0_108
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f113,f291,f722]) ).

fof(f113,axiom,
    ( ~ hskp8
    | ~ c2_1(a652) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause113) ).

fof(f705,plain,
    ( ~ spl0_104
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f109,f281,f702]) ).

fof(f109,axiom,
    ( ~ hskp10
    | ~ c1_1(a656) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause109) ).

fof(f700,plain,
    ( ~ spl0_103
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f108,f276,f697]) ).

fof(f108,axiom,
    ( ~ hskp11
    | ~ c3_1(a657) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause108) ).

fof(f695,plain,
    ( ~ spl0_102
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f107,f271,f692]) ).

fof(f107,axiom,
    ( ~ hskp12
    | ~ c2_1(a660) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause107) ).

fof(f690,plain,
    ( ~ spl0_101
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f106,f271,f687]) ).

fof(f106,axiom,
    ( ~ hskp12
    | ~ c1_1(a660) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause106) ).

fof(f685,plain,
    ( ~ spl0_100
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f105,f266,f682]) ).

fof(f105,axiom,
    ( ~ hskp13
    | ~ c3_1(a661) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause105) ).

fof(f680,plain,
    ( ~ spl0_99
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f104,f266,f677]) ).

fof(f104,axiom,
    ( ~ hskp13
    | ~ c1_1(a661) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause104) ).

fof(f655,plain,
    ( ~ spl0_94
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f99,f251,f652]) ).

fof(f99,axiom,
    ( ~ hskp16
    | ~ c3_1(a672) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause99) ).

fof(f650,plain,
    ( ~ spl0_93
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f251,f647]) ).

fof(f98,axiom,
    ( ~ hskp16
    | ~ c2_1(a672) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause98) ).

fof(f645,plain,
    ( ~ spl0_92
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f97,f246,f642]) ).

fof(f97,axiom,
    ( ~ hskp17
    | ~ c3_1(a675) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause97) ).

fof(f640,plain,
    ( ~ spl0_91
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f96,f246,f637]) ).

fof(f96,axiom,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause96) ).

fof(f635,plain,
    ( ~ spl0_90
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f95,f241,f632]) ).

fof(f95,axiom,
    ( ~ hskp18
    | ~ c2_1(a676) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause95) ).

fof(f630,plain,
    ( ~ spl0_89
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f94,f236,f627]) ).

fof(f94,axiom,
    ( ~ hskp19
    | ~ c2_1(a682) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause94) ).

fof(f625,plain,
    ( ~ spl0_88
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f93,f236,f622]) ).

fof(f93,axiom,
    ( ~ hskp19
    | ~ c1_1(a682) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause93) ).

fof(f620,plain,
    ( ~ spl0_87
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f92,f231,f617]) ).

fof(f92,axiom,
    ( ~ hskp20
    | ~ c3_1(a686) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause92) ).

fof(f615,plain,
    ( ~ spl0_86
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f91,f226,f612]) ).

fof(f91,axiom,
    ( ~ hskp21
    | ~ c3_1(a691) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause91) ).

fof(f610,plain,
    ( ~ spl0_85
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f90,f226,f607]) ).

fof(f90,axiom,
    ( ~ hskp21
    | ~ c1_1(a691) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause90) ).

fof(f605,plain,
    ( ~ spl0_84
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f89,f226,f602]) ).

fof(f89,axiom,
    ( ~ hskp21
    | ~ c0_1(a691) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause89) ).

fof(f595,plain,
    ( ~ spl0_82
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f87,f216,f592]) ).

fof(f87,axiom,
    ( ~ hskp23
    | ~ c3_1(a695) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause87) ).

fof(f590,plain,
    ( ~ spl0_81
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f86,f216,f587]) ).

fof(f86,axiom,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause86) ).

fof(f560,plain,
    ( ~ spl0_31
    | spl0_75 ),
    inference(avatar_split_clause,[],[f80,f557,f331]) ).

fof(f80,axiom,
    ( c3_1(a641)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause80) ).

fof(f555,plain,
    ( ~ spl0_31
    | spl0_74 ),
    inference(avatar_split_clause,[],[f79,f552,f331]) ).

fof(f79,axiom,
    ( c2_1(a641)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause79) ).

fof(f550,plain,
    ( ~ spl0_30
    | spl0_73 ),
    inference(avatar_split_clause,[],[f78,f547,f326]) ).

fof(f78,axiom,
    ( c3_1(a642)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause78) ).

fof(f545,plain,
    ( ~ spl0_30
    | spl0_72 ),
    inference(avatar_split_clause,[],[f77,f542,f326]) ).

fof(f77,axiom,
    ( c0_1(a642)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause77) ).

fof(f540,plain,
    ( ~ spl0_29
    | spl0_71 ),
    inference(avatar_split_clause,[],[f76,f537,f321]) ).

fof(f76,axiom,
    ( c2_1(a643)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause76) ).

fof(f535,plain,
    ( ~ spl0_29
    | spl0_70 ),
    inference(avatar_split_clause,[],[f75,f532,f321]) ).

fof(f75,axiom,
    ( c1_1(a643)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause75) ).

fof(f530,plain,
    ( ~ spl0_28
    | spl0_69 ),
    inference(avatar_split_clause,[],[f74,f527,f316]) ).

fof(f74,axiom,
    ( c3_1(a645)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause74) ).

fof(f525,plain,
    ( ~ spl0_28
    | spl0_68 ),
    inference(avatar_split_clause,[],[f73,f522,f316]) ).

fof(f73,axiom,
    ( c1_1(a645)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause73) ).

fof(f520,plain,
    ( ~ spl0_26
    | spl0_67 ),
    inference(avatar_split_clause,[],[f72,f517,f306]) ).

fof(f72,axiom,
    ( c1_1(a647)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause72) ).

fof(f515,plain,
    ( ~ spl0_25
    | spl0_66 ),
    inference(avatar_split_clause,[],[f71,f512,f301]) ).

fof(f71,axiom,
    ( c0_1(a648)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause71) ).

fof(f510,plain,
    ( ~ spl0_24
    | spl0_65 ),
    inference(avatar_split_clause,[],[f70,f507,f296]) ).

fof(f70,axiom,
    ( c3_1(a651)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause70) ).

fof(f505,plain,
    ( ~ spl0_23
    | spl0_64 ),
    inference(avatar_split_clause,[],[f69,f502,f291]) ).

fof(f69,axiom,
    ( c3_1(a652)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause69) ).

fof(f500,plain,
    ( ~ spl0_23
    | spl0_63 ),
    inference(avatar_split_clause,[],[f68,f497,f291]) ).

fof(f68,axiom,
    ( c0_1(a652)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause68) ).

fof(f495,plain,
    ( ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f67,f492,f281]) ).

fof(f67,axiom,
    ( c2_1(a656)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause67) ).

fof(f490,plain,
    ( ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f66,f487,f281]) ).

fof(f66,axiom,
    ( c0_1(a656)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause66) ).

fof(f485,plain,
    ( ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f65,f482,f276]) ).

fof(f65,axiom,
    ( c2_1(a657)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause65) ).

fof(f480,plain,
    ( ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f64,f477,f276]) ).

fof(f64,axiom,
    ( c0_1(a657)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause64) ).

fof(f475,plain,
    ( ~ spl0_19
    | spl0_58 ),
    inference(avatar_split_clause,[],[f63,f472,f271]) ).

fof(f63,axiom,
    ( c0_1(a660)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause63) ).

fof(f470,plain,
    ( ~ spl0_18
    | spl0_57 ),
    inference(avatar_split_clause,[],[f62,f467,f266]) ).

fof(f62,axiom,
    ( c0_1(a661)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause62) ).

fof(f455,plain,
    ( ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f59,f452,f251]) ).

fof(f59,axiom,
    ( c1_1(a672)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause59) ).

fof(f450,plain,
    ( ~ spl0_14
    | spl0_53 ),
    inference(avatar_split_clause,[],[f58,f447,f246]) ).

fof(f58,axiom,
    ( c2_1(a675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause58) ).

fof(f445,plain,
    ( ~ spl0_13
    | spl0_52 ),
    inference(avatar_split_clause,[],[f57,f442,f241]) ).

fof(f57,axiom,
    ( c1_1(a676)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause57) ).

fof(f440,plain,
    ( ~ spl0_13
    | spl0_51 ),
    inference(avatar_split_clause,[],[f56,f437,f241]) ).

fof(f56,axiom,
    ( c0_1(a676)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause56) ).

fof(f435,plain,
    ( ~ spl0_12
    | spl0_50 ),
    inference(avatar_split_clause,[],[f55,f432,f236]) ).

fof(f55,axiom,
    ( c3_1(a682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause55) ).

fof(f430,plain,
    ( ~ spl0_11
    | spl0_49 ),
    inference(avatar_split_clause,[],[f54,f427,f231]) ).

fof(f54,axiom,
    ( c2_1(a686)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause54) ).

fof(f425,plain,
    ( ~ spl0_11
    | spl0_48 ),
    inference(avatar_split_clause,[],[f53,f422,f231]) ).

fof(f53,axiom,
    ( c1_1(a686)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause53) ).

fof(f410,plain,
    ( ~ spl0_8
    | spl0_45 ),
    inference(avatar_split_clause,[],[f50,f407,f216]) ).

fof(f50,axiom,
    ( c2_1(a695)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause50) ).

fof(f400,plain,
    ( ~ spl0_5
    | spl0_43 ),
    inference(avatar_split_clause,[],[f48,f397,f201]) ).

fof(f48,axiom,
    ( c3_1(a640)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause48) ).

fof(f395,plain,
    ( ~ spl0_5
    | spl0_42 ),
    inference(avatar_split_clause,[],[f47,f392,f201]) ).

fof(f47,axiom,
    ( c1_1(a640)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause47) ).

fof(f390,plain,
    ( ~ spl0_5
    | spl0_41 ),
    inference(avatar_split_clause,[],[f46,f387,f201]) ).

fof(f46,axiom,
    ( c0_1(a640)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause46) ).

fof(f385,plain,
    ( ~ spl0_4
    | spl0_40 ),
    inference(avatar_split_clause,[],[f45,f382,f196]) ).

fof(f45,axiom,
    ( c3_1(a655)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause45) ).

fof(f380,plain,
    ( ~ spl0_4
    | spl0_39 ),
    inference(avatar_split_clause,[],[f44,f377,f196]) ).

fof(f44,axiom,
    ( c2_1(a655)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause44) ).

fof(f375,plain,
    ( ~ spl0_4
    | spl0_38 ),
    inference(avatar_split_clause,[],[f43,f372,f196]) ).

fof(f43,axiom,
    ( c0_1(a655)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause43) ).

fof(f370,plain,
    ( ~ spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f42,f367,f191]) ).

fof(f42,axiom,
    ( c2_1(a671)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause42) ).

fof(f365,plain,
    ( ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f41,f362,f191]) ).

fof(f41,axiom,
    ( c1_1(a671)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause41) ).

fof(f360,plain,
    ( ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f40,f357,f191]) ).

fof(f40,axiom,
    ( c0_1(a671)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause40) ).

fof(f337,plain,
    ( spl0_30
    | spl0_17
    | spl0_14 ),
    inference(avatar_split_clause,[],[f33,f246,f261,f326]) ).

fof(f261,plain,
    ( spl0_17
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f33,axiom,
    ( hskp17
    | hskp14
    | hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause33) ).

fof(f336,plain,
    ( spl0_13
    | spl0_29
    | spl0_11 ),
    inference(avatar_split_clause,[],[f32,f231,f321,f241]) ).

fof(f32,axiom,
    ( hskp20
    | hskp2
    | hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause32) ).

fof(f335,plain,
    ( spl0_13
    | spl0_30
    | spl0_24 ),
    inference(avatar_split_clause,[],[f31,f296,f326,f241]) ).

fof(f31,axiom,
    ( hskp7
    | hskp1
    | hskp18 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause31) ).

fof(f329,plain,
    ( ~ spl0_30
    | spl0_2 ),
    inference(avatar_split_clause,[],[f29,f186,f326]) ).

fof(f29,axiom,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause29) ).

fof(f264,plain,
    ( ~ spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f186,f261]) ).

fof(f16,axiom,
    ( ndr1_0
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause16) ).

fof(f249,plain,
    ( ~ spl0_14
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f186,f246]) ).

fof(f13,axiom,
    ( ndr1_0
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040',clause13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.17  % Problem    : SYN450-1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.18  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.39  % Computer : n008.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit   : 300
% 0.14/0.39  % WCLimit    : 300
% 0.14/0.40  % DateTime   : Tue Apr 30 17:27:27 EDT 2024
% 0.14/0.40  % CPUTime    : 
% 0.14/0.40  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.14/0.40  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.PpSSCqbSQ2/Vampire---4.8_22040
% 0.58/0.78  % (22295)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.78  % (22289)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.78  % (22296)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.78  % (22291)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.78  % (22292)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.78  % (22290)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.78  % (22293)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.78  % (22294)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.80  % (22292)Instruction limit reached!
% 0.58/0.80  % (22292)------------------------------
% 0.58/0.80  % (22292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.80  % (22292)Termination reason: Unknown
% 0.58/0.80  % (22292)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (22292)Memory used [KB]: 2140
% 0.58/0.80  % (22292)Time elapsed: 0.021 s
% 0.58/0.80  % (22292)Instructions burned: 33 (million)
% 0.58/0.80  % (22292)------------------------------
% 0.58/0.80  % (22292)------------------------------
% 0.58/0.80  % (22289)Instruction limit reached!
% 0.58/0.80  % (22289)------------------------------
% 0.58/0.80  % (22289)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.80  % (22289)Termination reason: Unknown
% 0.58/0.80  % (22289)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (22289)Memory used [KB]: 1942
% 0.58/0.80  % (22289)Time elapsed: 0.022 s
% 0.58/0.80  % (22289)Instructions burned: 35 (million)
% 0.58/0.80  % (22289)------------------------------
% 0.58/0.80  % (22289)------------------------------
% 0.58/0.80  % (22293)Instruction limit reached!
% 0.58/0.80  % (22293)------------------------------
% 0.58/0.80  % (22293)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.80  % (22293)Termination reason: Unknown
% 0.58/0.80  % (22293)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (22293)Memory used [KB]: 2033
% 0.58/0.80  % (22293)Time elapsed: 0.022 s
% 0.58/0.80  % (22293)Instructions burned: 35 (million)
% 0.58/0.80  % (22293)------------------------------
% 0.58/0.80  % (22293)------------------------------
% 0.58/0.81  % (22299)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.81  % (22298)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.81  % (22290)First to succeed.
% 0.58/0.81  % (22294)Instruction limit reached!
% 0.58/0.81  % (22294)------------------------------
% 0.58/0.81  % (22294)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.81  % (22294)Termination reason: Unknown
% 0.58/0.81  % (22294)Termination phase: Saturation
% 0.58/0.81  
% 0.58/0.81  % (22295)Instruction limit reached!
% 0.58/0.81  % (22295)------------------------------
% 0.58/0.81  % (22295)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.81  % (22294)Memory used [KB]: 2243
% 0.58/0.81  % (22294)Time elapsed: 0.028 s
% 0.58/0.81  % (22294)Instructions burned: 45 (million)
% 0.58/0.81  % (22294)------------------------------
% 0.58/0.81  % (22294)------------------------------
% 0.58/0.81  % (22295)Termination reason: Unknown
% 0.58/0.81  % (22295)Termination phase: Saturation
% 0.58/0.81  
% 0.58/0.81  % (22295)Memory used [KB]: 3162
% 0.58/0.81  % (22295)Time elapsed: 0.029 s
% 0.58/0.81  % (22295)Instructions burned: 83 (million)
% 0.58/0.81  % (22295)------------------------------
% 0.58/0.81  % (22295)------------------------------
% 0.58/0.81  % (22297)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.81  % (22301)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.58/0.81  % (22300)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.81  % (22290)Refutation found. Thanks to Tanya!
% 0.58/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.82  % (22290)------------------------------
% 0.58/0.82  % (22290)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.82  % (22290)Termination reason: Refutation
% 0.58/0.82  
% 0.58/0.82  % (22290)Memory used [KB]: 1826
% 0.58/0.82  % (22290)Time elapsed: 0.032 s
% 0.58/0.82  % (22290)Instructions burned: 53 (million)
% 0.58/0.82  % (22290)------------------------------
% 0.58/0.82  % (22290)------------------------------
% 0.58/0.82  % (22285)Success in time 0.421 s
% 0.58/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------