TSTP Solution File: SYN450-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN450-1 : 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 : 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 Aug 31 19:38:05 EDT 2022

% Result   : Unsatisfiable 2.07s 0.61s
% Output   : Refutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  224
% Syntax   : Number of formulae    :  501 (   1 unt;   0 def)
%            Number of atoms       : 1551 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1788 ( 738   ~; 925   |;   0   &)
%                                         ( 125 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  153 ( 152 usr; 149 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  100 ( 100   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2105,plain,
    $false,
    inference(avatar_sat_refutation,[],[f193,f198,f203,f212,f228,f249,f254,f262,f266,f272,f283,f290,f310,f315,f325,f330,f347,f375,f380,f401,f411,f416,f417,f445,f450,f455,f462,f467,f477,f486,f492,f511,f516,f529,f534,f540,f545,f549,f550,f555,f573,f580,f582,f587,f593,f602,f603,f608,f613,f637,f652,f653,f654,f656,f661,f663,f668,f675,f680,f685,f689,f704,f712,f717,f722,f727,f736,f746,f751,f761,f772,f778,f784,f785,f796,f797,f803,f814,f815,f819,f824,f829,f830,f831,f836,f844,f854,f859,f864,f865,f871,f890,f895,f900,f901,f906,f911,f922,f934,f940,f943,f950,f976,f981,f1000,f1017,f1030,f1046,f1047,f1066,f1071,f1076,f1099,f1110,f1119,f1130,f1144,f1149,f1174,f1202,f1208,f1221,f1282,f1283,f1286,f1288,f1303,f1308,f1309,f1332,f1335,f1376,f1377,f1458,f1459,f1498,f1579,f1599,f1604,f1619,f1620,f1642,f1698,f1699,f1703,f1705,f1754,f1968,f1985,f1987,f1989,f1994,f2029,f2075,f2085,f2088,f2104]) ).

fof(f2104,plain,
    ( spl0_160
    | spl0_114
    | ~ spl0_63
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2100,f610,f460,f719,f1035]) ).

fof(f1035,plain,
    ( spl0_160
  <=> c2_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f719,plain,
    ( spl0_114
  <=> c1_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f460,plain,
    ( spl0_63
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f610,plain,
    ( spl0_94
  <=> c0_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2100,plain,
    ( c1_1(a661)
    | c2_1(a661)
    | ~ spl0_63
    | ~ spl0_94 ),
    inference(resolution,[],[f612,f461]) ).

fof(f461,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f612,plain,
    ( c0_1(a661)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f2088,plain,
    ( spl0_161
    | spl0_111
    | ~ spl0_63
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2083,f793,f460,f701,f1043]) ).

fof(f1043,plain,
    ( spl0_161
  <=> c1_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f701,plain,
    ( spl0_111
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f793,plain,
    ( spl0_128
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2083,plain,
    ( c2_1(a648)
    | c1_1(a648)
    | ~ spl0_63
    | ~ spl0_128 ),
    inference(resolution,[],[f461,f795]) ).

fof(f795,plain,
    ( c0_1(a648)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f2085,plain,
    ( spl0_75
    | spl0_140
    | ~ spl0_63
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2080,f775,f460,f868,f513]) ).

fof(f513,plain,
    ( spl0_75
  <=> c1_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f868,plain,
    ( spl0_140
  <=> c2_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f775,plain,
    ( spl0_125
  <=> c0_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2080,plain,
    ( c2_1(a660)
    | c1_1(a660)
    | ~ spl0_63
    | ~ spl0_125 ),
    inference(resolution,[],[f461,f777]) ).

fof(f777,plain,
    ( c0_1(a660)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f2075,plain,
    ( ~ spl0_79
    | ~ spl0_49
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2066,f658,f336,f394,f531]) ).

fof(f531,plain,
    ( spl0_79
  <=> c1_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f394,plain,
    ( spl0_49
  <=> c2_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f336,plain,
    ( spl0_36
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f658,plain,
    ( spl0_103
  <=> c0_1(a671) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2066,plain,
    ( ~ c2_1(a671)
    | ~ c1_1(a671)
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(resolution,[],[f337,f660]) ).

fof(f660,plain,
    ( c0_1(a671)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f337,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f2029,plain,
    ( spl0_59
    | ~ spl0_93
    | ~ spl0_20
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2018,f1267,f264,f605,f442]) ).

fof(f442,plain,
    ( spl0_59
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f605,plain,
    ( spl0_93
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f264,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1267,plain,
    ( spl0_174
  <=> c0_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2018,plain,
    ( ~ c2_1(a675)
    | c3_1(a675)
    | ~ spl0_20
    | ~ spl0_174 ),
    inference(resolution,[],[f265,f1269]) ).

fof(f1269,plain,
    ( c0_1(a675)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f265,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f1994,plain,
    ( spl0_119
    | ~ spl0_52
    | ~ spl0_62
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1805,f947,f457,f408,f743]) ).

fof(f743,plain,
    ( spl0_119
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f408,plain,
    ( spl0_52
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f457,plain,
    ( spl0_62
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f947,plain,
    ( spl0_153
  <=> c2_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1805,plain,
    ( ~ c1_1(a647)
    | c0_1(a647)
    | ~ spl0_62
    | ~ spl0_153 ),
    inference(resolution,[],[f458,f949]) ).

fof(f949,plain,
    ( c2_1(a647)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f458,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f1989,plain,
    ( spl0_156
    | ~ spl0_137
    | ~ spl0_38
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1796,f457,f344,f851,f988]) ).

fof(f988,plain,
    ( spl0_156
  <=> c0_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f851,plain,
    ( spl0_137
  <=> c1_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f344,plain,
    ( spl0_38
  <=> c2_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1796,plain,
    ( ~ c1_1(a686)
    | c0_1(a686)
    | ~ spl0_38
    | ~ spl0_62 ),
    inference(resolution,[],[f458,f346]) ).

fof(f346,plain,
    ( c2_1(a686)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f1987,plain,
    ( spl0_124
    | spl0_53
    | ~ spl0_92
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1877,f1218,f600,f413,f769]) ).

fof(f769,plain,
    ( spl0_124
  <=> c1_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f413,plain,
    ( spl0_53
  <=> c0_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f600,plain,
    ( spl0_92
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1218,plain,
    ( spl0_170
  <=> c3_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1877,plain,
    ( c0_1(a665)
    | c1_1(a665)
    | ~ spl0_92
    | ~ spl0_170 ),
    inference(resolution,[],[f601,f1220]) ).

fof(f1220,plain,
    ( c3_1(a665)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f601,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1985,plain,
    ( spl0_106
    | spl0_59
    | ~ spl0_82
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1980,f1267,f547,f442,f677]) ).

fof(f677,plain,
    ( spl0_106
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f547,plain,
    ( spl0_82
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1980,plain,
    ( c3_1(a675)
    | c1_1(a675)
    | ~ spl0_82
    | ~ spl0_174 ),
    inference(resolution,[],[f1269,f548]) ).

fof(f548,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f1968,plain,
    ( ~ spl0_152
    | spl0_149
    | ~ spl0_108
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1965,f733,f687,f919,f937]) ).

fof(f937,plain,
    ( spl0_152
  <=> c2_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f919,plain,
    ( spl0_149
  <=> c1_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f687,plain,
    ( spl0_108
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f733,plain,
    ( spl0_117
  <=> c0_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1965,plain,
    ( c1_1(a642)
    | ~ c2_1(a642)
    | ~ spl0_108
    | ~ spl0_117 ),
    inference(resolution,[],[f688,f735]) ).

fof(f735,plain,
    ( c0_1(a642)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f688,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f1754,plain,
    ( spl0_146
    | spl0_66
    | ~ spl0_18
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1745,f748,f256,f474,f903]) ).

fof(f903,plain,
    ( spl0_146
  <=> c3_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f474,plain,
    ( spl0_66
  <=> c2_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f256,plain,
    ( spl0_18
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f748,plain,
    ( spl0_120
  <=> c1_1(a672) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1745,plain,
    ( c2_1(a672)
    | c3_1(a672)
    | ~ spl0_18
    | ~ spl0_120 ),
    inference(resolution,[],[f257,f750]) ).

fof(f750,plain,
    ( c1_1(a672)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f257,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f1705,plain,
    ( spl0_151
    | spl0_156
    | ~ spl0_38
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1553,f509,f344,f988,f931]) ).

fof(f931,plain,
    ( spl0_151
  <=> c3_1(a686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f509,plain,
    ( spl0_74
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1553,plain,
    ( c0_1(a686)
    | c3_1(a686)
    | ~ spl0_38
    | ~ spl0_74 ),
    inference(resolution,[],[f510,f346]) ).

fof(f510,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1703,plain,
    ( spl0_85
    | ~ spl0_72
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1695,f600,f501,f561]) ).

fof(f561,plain,
    ( spl0_85
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f501,plain,
    ( spl0_72
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_72
    | ~ spl0_92 ),
    inference(duplicate_literal_removal,[],[f1677]) ).

fof(f1677,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_72
    | ~ spl0_92 ),
    inference(resolution,[],[f601,f502]) ).

fof(f502,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f1699,plain,
    ( spl0_5
    | spl0_31
    | ~ spl0_87
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1688,f600,f570,f312,f200]) ).

fof(f200,plain,
    ( spl0_5
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f312,plain,
    ( spl0_31
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f570,plain,
    ( spl0_87
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1688,plain,
    ( c1_1(a651)
    | c0_1(a651)
    | ~ spl0_87
    | ~ spl0_92 ),
    inference(resolution,[],[f601,f572]) ).

fof(f572,plain,
    ( c3_1(a651)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f1698,plain,
    ( spl0_132
    | spl0_104
    | ~ spl0_92
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1694,f1014,f600,f665,f821]) ).

fof(f821,plain,
    ( spl0_132
  <=> c0_1(a654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f665,plain,
    ( spl0_104
  <=> c1_1(a654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1014,plain,
    ( spl0_158
  <=> c3_1(a654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1694,plain,
    ( c1_1(a654)
    | c0_1(a654)
    | ~ spl0_92
    | ~ spl0_158 ),
    inference(resolution,[],[f601,f1016]) ).

fof(f1016,plain,
    ( c3_1(a654)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1642,plain,
    ( spl0_72
    | ~ spl0_48
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1641,f433,f390,f501]) ).

fof(f390,plain,
    ( spl0_48
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f433,plain,
    ( spl0_57
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1641,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_48
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1627]) ).

fof(f1627,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_48
    | ~ spl0_57 ),
    inference(resolution,[],[f434,f391]) ).

fof(f391,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f434,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1620,plain,
    ( spl0_166
    | spl0_138
    | ~ spl0_74
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1563,f634,f509,f856,f1146]) ).

fof(f1146,plain,
    ( spl0_166
  <=> c3_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f856,plain,
    ( spl0_138
  <=> c0_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f634,plain,
    ( spl0_99
  <=> c2_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1563,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ spl0_74
    | ~ spl0_99 ),
    inference(resolution,[],[f510,f636]) ).

fof(f636,plain,
    ( c2_1(a643)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f1619,plain,
    ( ~ spl0_99
    | spl0_138
    | ~ spl0_58
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1616,f1146,f436,f856,f634]) ).

fof(f436,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1616,plain,
    ( c0_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_58
    | ~ spl0_166 ),
    inference(resolution,[],[f1148,f437]) ).

fof(f437,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f1148,plain,
    ( c3_1(a643)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1146]) ).

fof(f1604,plain,
    ( spl0_71
    | ~ spl0_9
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1597,f561,f218,f498]) ).

fof(f498,plain,
    ( spl0_71
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f218,plain,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1597,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9
    | ~ spl0_85 ),
    inference(duplicate_literal_removal,[],[f1581]) ).

fof(f1581,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9
    | ~ spl0_85 ),
    inference(resolution,[],[f562,f219]) ).

fof(f219,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f562,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f1599,plain,
    ( spl0_168
    | spl0_34
    | ~ spl0_85
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1585,f649,f561,f327,f1205]) ).

fof(f1205,plain,
    ( spl0_168
  <=> c1_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f327,plain,
    ( spl0_34
  <=> c2_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f649,plain,
    ( spl0_102
  <=> c0_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1585,plain,
    ( c2_1(a667)
    | c1_1(a667)
    | ~ spl0_85
    | spl0_102 ),
    inference(resolution,[],[f562,f651]) ).

fof(f651,plain,
    ( ~ c0_1(a667)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f1579,plain,
    ( spl0_114
    | spl0_30
    | ~ spl0_82
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1574,f610,f547,f307,f719]) ).

fof(f307,plain,
    ( spl0_30
  <=> c3_1(a661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1574,plain,
    ( c3_1(a661)
    | c1_1(a661)
    | ~ spl0_82
    | ~ spl0_94 ),
    inference(resolution,[],[f548,f612]) ).

fof(f1498,plain,
    ( ~ spl0_115
    | ~ spl0_122
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1477,f781,f278,f758,f724]) ).

fof(f724,plain,
    ( spl0_115
  <=> c1_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f758,plain,
    ( spl0_122
  <=> c2_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f278,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f781,plain,
    ( spl0_126
  <=> c3_1(a688) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1477,plain,
    ( ~ c2_1(a688)
    | ~ c1_1(a688)
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(resolution,[],[f279,f783]) ).

fof(f783,plain,
    ( c3_1(a688)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f279,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f1459,plain,
    ( spl0_174
    | spl0_106
    | ~ spl0_78
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1448,f605,f527,f677,f1267]) ).

fof(f527,plain,
    ( spl0_78
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1448,plain,
    ( c1_1(a675)
    | c0_1(a675)
    | ~ spl0_78
    | ~ spl0_93 ),
    inference(resolution,[],[f528,f607]) ).

fof(f607,plain,
    ( c2_1(a675)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f528,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1458,plain,
    ( spl0_89
    | spl0_155
    | ~ spl0_78
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1445,f542,f527,f978,f584]) ).

fof(f584,plain,
    ( spl0_89
  <=> c0_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f978,plain,
    ( spl0_155
  <=> c1_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f542,plain,
    ( spl0_81
  <=> c2_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1445,plain,
    ( c1_1(a695)
    | c0_1(a695)
    | ~ spl0_78
    | ~ spl0_81 ),
    inference(resolution,[],[f528,f544]) ).

fof(f544,plain,
    ( c2_1(a695)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f1377,plain,
    ( spl0_45
    | spl0_33
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1365,f498,f269,f322,f377]) ).

fof(f377,plain,
    ( spl0_45
  <=> c2_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f322,plain,
    ( spl0_33
  <=> c1_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f269,plain,
    ( spl0_21
  <=> c3_1(a682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1365,plain,
    ( c1_1(a682)
    | c2_1(a682)
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(resolution,[],[f499,f271]) ).

fof(f271,plain,
    ( c3_1(a682)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f499,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f1376,plain,
    ( spl0_31
    | spl0_172
    | ~ spl0_71
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1369,f570,f498,f1255,f312]) ).

fof(f1255,plain,
    ( spl0_172
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1369,plain,
    ( c2_1(a651)
    | c1_1(a651)
    | ~ spl0_71
    | ~ spl0_87 ),
    inference(resolution,[],[f499,f572]) ).

fof(f1335,plain,
    ( spl0_144
    | ~ spl0_134
    | ~ spl0_16
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1331,f452,f247,f833,f892]) ).

fof(f892,plain,
    ( spl0_144
  <=> c1_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f833,plain,
    ( spl0_134
  <=> c2_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f247,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f452,plain,
    ( spl0_61
  <=> c3_1(a641) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1331,plain,
    ( ~ c2_1(a641)
    | c1_1(a641)
    | ~ spl0_16
    | ~ spl0_61 ),
    inference(resolution,[],[f248,f454]) ).

fof(f454,plain,
    ( c3_1(a641)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f248,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f1332,plain,
    ( spl0_31
    | ~ spl0_172
    | ~ spl0_16
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1328,f570,f247,f1255,f312]) ).

fof(f1328,plain,
    ( ~ c2_1(a651)
    | c1_1(a651)
    | ~ spl0_16
    | ~ spl0_87 ),
    inference(resolution,[],[f248,f572]) ).

fof(f1309,plain,
    ( spl0_152
    | spl0_149
    | ~ spl0_63
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1294,f733,f460,f919,f937]) ).

fof(f1294,plain,
    ( c1_1(a642)
    | c2_1(a642)
    | ~ spl0_63
    | ~ spl0_117 ),
    inference(resolution,[],[f461,f735]) ).

fof(f1308,plain,
    ( ~ spl0_163
    | spl0_135
    | ~ spl0_9
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1306,f552,f218,f841,f1073]) ).

fof(f1073,plain,
    ( spl0_163
  <=> c3_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f841,plain,
    ( spl0_135
  <=> c2_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f552,plain,
    ( spl0_83
  <=> c0_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1306,plain,
    ( c2_1(a676)
    | ~ c3_1(a676)
    | ~ spl0_9
    | ~ spl0_83 ),
    inference(resolution,[],[f554,f219]) ).

fof(f554,plain,
    ( c0_1(a676)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f1303,plain,
    ( spl0_151
    | ~ spl0_38
    | ~ spl0_20
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1299,f988,f264,f344,f931]) ).

fof(f1299,plain,
    ( ~ c2_1(a686)
    | c3_1(a686)
    | ~ spl0_20
    | ~ spl0_156 ),
    inference(resolution,[],[f990,f265]) ).

fof(f990,plain,
    ( c0_1(a686)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f1288,plain,
    ( spl0_151
    | spl0_156
    | ~ spl0_44
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1138,f851,f373,f988,f931]) ).

fof(f373,plain,
    ( spl0_44
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1138,plain,
    ( c0_1(a686)
    | c3_1(a686)
    | ~ spl0_44
    | ~ spl0_137 ),
    inference(resolution,[],[f374,f853]) ).

fof(f853,plain,
    ( c1_1(a686)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f374,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f1286,plain,
    ( spl0_138
    | ~ spl0_145
    | ~ spl0_62
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1279,f634,f457,f897,f856]) ).

fof(f897,plain,
    ( spl0_145
  <=> c1_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1279,plain,
    ( ~ c1_1(a643)
    | c0_1(a643)
    | ~ spl0_62
    | ~ spl0_99 ),
    inference(resolution,[],[f458,f636]) ).

fof(f1283,plain,
    ( ~ spl0_155
    | spl0_89
    | ~ spl0_62
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1272,f542,f457,f584,f978]) ).

fof(f1272,plain,
    ( c0_1(a695)
    | ~ c1_1(a695)
    | ~ spl0_62
    | ~ spl0_81 ),
    inference(resolution,[],[f458,f544]) ).

fof(f1282,plain,
    ( ~ spl0_164
    | spl0_133
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1273,f479,f457,f826,f1096]) ).

fof(f1096,plain,
    ( spl0_164
  <=> c1_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f826,plain,
    ( spl0_133
  <=> c0_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f479,plain,
    ( spl0_67
  <=> c2_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1273,plain,
    ( c0_1(a693)
    | ~ c1_1(a693)
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(resolution,[],[f458,f481]) ).

fof(f481,plain,
    ( c2_1(a693)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f1221,plain,
    ( spl0_170
    | spl0_124
    | spl0_53
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1216,f433,f413,f769,f1218]) ).

fof(f1216,plain,
    ( c1_1(a665)
    | c3_1(a665)
    | spl0_53
    | ~ spl0_57 ),
    inference(resolution,[],[f415,f434]) ).

fof(f415,plain,
    ( ~ c0_1(a665)
    | spl0_53 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1208,plain,
    ( ~ spl0_168
    | spl0_34
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1194,f281,f209,f327,f1205]) ).

fof(f209,plain,
    ( spl0_7
  <=> c3_1(a667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f281,plain,
    ( spl0_24
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1194,plain,
    ( c2_1(a667)
    | ~ c1_1(a667)
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(resolution,[],[f282,f211]) ).

fof(f211,plain,
    ( c3_1(a667)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f282,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1202,plain,
    ( ~ spl0_88
    | spl0_139
    | ~ spl0_24
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1199,f682,f281,f861,f577]) ).

fof(f577,plain,
    ( spl0_88
  <=> c1_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f861,plain,
    ( spl0_139
  <=> c2_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f682,plain,
    ( spl0_107
  <=> c3_1(a645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1199,plain,
    ( c2_1(a645)
    | ~ c1_1(a645)
    | ~ spl0_24
    | ~ spl0_107 ),
    inference(resolution,[],[f282,f684]) ).

fof(f684,plain,
    ( c3_1(a645)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f1174,plain,
    ( ~ spl0_165
    | spl0_140
    | ~ spl0_9
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1168,f775,f218,f868,f1116]) ).

fof(f1116,plain,
    ( spl0_165
  <=> c3_1(a660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1168,plain,
    ( c2_1(a660)
    | ~ c3_1(a660)
    | ~ spl0_9
    | ~ spl0_125 ),
    inference(resolution,[],[f219,f777]) ).

fof(f1149,plain,
    ( spl0_166
    | spl0_138
    | ~ spl0_44
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1143,f897,f373,f856,f1146]) ).

fof(f1143,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ spl0_44
    | ~ spl0_145 ),
    inference(resolution,[],[f374,f899]) ).

fof(f899,plain,
    ( c1_1(a643)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1144,plain,
    ( spl0_17
    | spl0_119
    | ~ spl0_44
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1141,f408,f373,f743,f251]) ).

fof(f251,plain,
    ( spl0_17
  <=> c3_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1141,plain,
    ( c0_1(a647)
    | c3_1(a647)
    | ~ spl0_44
    | ~ spl0_52 ),
    inference(resolution,[],[f374,f410]) ).

fof(f410,plain,
    ( c1_1(a647)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f1130,plain,
    ( ~ spl0_38
    | ~ spl0_137
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1128,f988,f336,f851,f344]) ).

fof(f1128,plain,
    ( ~ c1_1(a686)
    | ~ c2_1(a686)
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(resolution,[],[f990,f337]) ).

fof(f1119,plain,
    ( spl0_140
    | spl0_165
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1112,f775,f390,f1116,f868]) ).

fof(f1112,plain,
    ( c3_1(a660)
    | c2_1(a660)
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(resolution,[],[f777,f391]) ).

fof(f1110,plain,
    ( ~ spl0_160
    | spl0_30
    | ~ spl0_20
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1102,f610,f264,f307,f1035]) ).

fof(f1102,plain,
    ( c3_1(a661)
    | ~ c2_1(a661)
    | ~ spl0_20
    | ~ spl0_94 ),
    inference(resolution,[],[f265,f612]) ).

fof(f1099,plain,
    ( spl0_164
    | ~ spl0_67
    | ~ spl0_16
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1086,f672,f247,f479,f1096]) ).

fof(f672,plain,
    ( spl0_105
  <=> c3_1(a693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1086,plain,
    ( ~ c2_1(a693)
    | c1_1(a693)
    | ~ spl0_16
    | ~ spl0_105 ),
    inference(resolution,[],[f248,f674]) ).

fof(f674,plain,
    ( c3_1(a693)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f1076,plain,
    ( spl0_135
    | spl0_163
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1068,f552,f390,f1073,f841]) ).

fof(f1068,plain,
    ( c3_1(a676)
    | c2_1(a676)
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(resolution,[],[f554,f391]) ).

fof(f1071,plain,
    ( spl0_135
    | ~ spl0_147
    | ~ spl0_25
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1070,f552,f285,f908,f841]) ).

fof(f908,plain,
    ( spl0_147
  <=> c1_1(a676) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f285,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1070,plain,
    ( ~ c1_1(a676)
    | c2_1(a676)
    | ~ spl0_25
    | ~ spl0_83 ),
    inference(resolution,[],[f554,f286]) ).

fof(f286,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f1066,plain,
    ( ~ spl0_129
    | spl0_60
    | ~ spl0_9
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1062,f464,f218,f447,f800]) ).

fof(f800,plain,
    ( spl0_129
  <=> c3_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f447,plain,
    ( spl0_60
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f464,plain,
    ( spl0_64
  <=> c0_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1062,plain,
    ( c2_1(a652)
    | ~ c3_1(a652)
    | ~ spl0_9
    | ~ spl0_64 ),
    inference(resolution,[],[f219,f466]) ).

fof(f466,plain,
    ( c0_1(a652)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f1047,plain,
    ( spl0_113
    | spl0_111
    | ~ spl0_48
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1039,f793,f390,f701,f714]) ).

fof(f714,plain,
    ( spl0_113
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1039,plain,
    ( c2_1(a648)
    | c3_1(a648)
    | ~ spl0_48
    | ~ spl0_128 ),
    inference(resolution,[],[f795,f391]) ).

fof(f1046,plain,
    ( spl0_111
    | ~ spl0_161
    | ~ spl0_25
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1041,f793,f285,f1043,f701]) ).

fof(f1041,plain,
    ( ~ c1_1(a648)
    | c2_1(a648)
    | ~ spl0_25
    | ~ spl0_128 ),
    inference(resolution,[],[f795,f286]) ).

fof(f1030,plain,
    ( spl0_131
    | spl0_89
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1028,f978,f373,f584,f811]) ).

fof(f811,plain,
    ( spl0_131
  <=> c3_1(a695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1028,plain,
    ( c0_1(a695)
    | c3_1(a695)
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(resolution,[],[f980,f374]) ).

fof(f980,plain,
    ( c1_1(a695)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f1017,plain,
    ( spl0_158
    | spl0_104
    | ~ spl0_57
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1012,f821,f433,f665,f1014]) ).

fof(f1012,plain,
    ( c1_1(a654)
    | c3_1(a654)
    | ~ spl0_57
    | spl0_132 ),
    inference(resolution,[],[f823,f434]) ).

fof(f823,plain,
    ( ~ c0_1(a654)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f1000,plain,
    ( spl0_26
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f999,f433,f264,f288]) ).

fof(f288,plain,
    ( spl0_26
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f999,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f994]) ).

fof(f994,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c3_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(resolution,[],[f434,f265]) ).

fof(f981,plain,
    ( spl0_131
    | spl0_155
    | ~ spl0_26
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f975,f542,f288,f978,f811]) ).

fof(f975,plain,
    ( c1_1(a695)
    | c3_1(a695)
    | ~ spl0_26
    | ~ spl0_81 ),
    inference(resolution,[],[f289,f544]) ).

fof(f289,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f976,plain,
    ( spl0_106
    | spl0_59
    | ~ spl0_26
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f974,f605,f288,f442,f677]) ).

fof(f974,plain,
    ( c3_1(a675)
    | c1_1(a675)
    | ~ spl0_26
    | ~ spl0_93 ),
    inference(resolution,[],[f289,f607]) ).

fof(f950,plain,
    ( spl0_17
    | spl0_153
    | ~ spl0_18
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f945,f408,f256,f947,f251]) ).

fof(f945,plain,
    ( c2_1(a647)
    | c3_1(a647)
    | ~ spl0_18
    | ~ spl0_52 ),
    inference(resolution,[],[f257,f410]) ).

fof(f943,plain,
    ( spl0_149
    | ~ spl0_152
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f941,f247,f195,f937,f919]) ).

fof(f195,plain,
    ( spl0_4
  <=> c3_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f941,plain,
    ( ~ c2_1(a642)
    | c1_1(a642)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(resolution,[],[f248,f197]) ).

fof(f197,plain,
    ( c3_1(a642)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f940,plain,
    ( ~ spl0_4
    | spl0_152
    | ~ spl0_9
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f935,f733,f218,f937,f195]) ).

fof(f935,plain,
    ( c2_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_9
    | ~ spl0_117 ),
    inference(resolution,[],[f219,f735]) ).

fof(f934,plain,
    ( ~ spl0_37
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f92,f931,f340]) ).

fof(f340,plain,
    ( spl0_37
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f92,axiom,
    ( ~ c3_1(a686)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f922,plain,
    ( ~ spl0_2
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f125,f919,f186]) ).

fof(f186,plain,
    ( spl0_2
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f125,axiom,
    ( ~ c1_1(a642)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f911,plain,
    ( spl0_147
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f57,f190,f908]) ).

fof(f190,plain,
    ( spl0_3
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f57,axiom,
    ( ~ hskp18
    | c1_1(a676) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f906,plain,
    ( ~ spl0_65
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f99,f903,f470]) ).

fof(f470,plain,
    ( spl0_65
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f99,axiom,
    ( ~ c3_1(a672)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f901,plain,
    ( spl0_8
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f11,f239,f214]) ).

fof(f214,plain,
    ( spl0_8
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f239,plain,
    ( spl0_14
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f11,axiom,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f900,plain,
    ( spl0_145
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f75,f489,f897]) ).

fof(f489,plain,
    ( spl0_69
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f75,axiom,
    ( ~ hskp2
    | c1_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f895,plain,
    ( ~ spl0_144
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f126,f364,f892]) ).

fof(f364,plain,
    ( spl0_42
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f126,axiom,
    ( ~ hskp0
    | ~ c1_1(a641) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f890,plain,
    ( ~ spl0_8
    | spl0_42
    | spl0_69
    | spl0_57 ),
    inference(avatar_split_clause,[],[f128,f433,f489,f364,f214]) ).

fof(f128,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c3_1(X0)
      | hskp2
      | hskp0
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f871,plain,
    ( ~ spl0_140
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f107,f369,f868]) ).

fof(f369,plain,
    ( spl0_43
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f107,axiom,
    ( ~ hskp12
    | ~ c2_1(a660) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f865,plain,
    ( spl0_15
    | spl0_2
    | spl0_27 ),
    inference(avatar_split_clause,[],[f33,f292,f186,f243]) ).

fof(f243,plain,
    ( spl0_15
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f292,plain,
    ( spl0_27
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f33,axiom,
    ( hskp14
    | hskp1
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f864,plain,
    ( ~ spl0_139
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f123,f359,f861]) ).

fof(f359,plain,
    ( spl0_41
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f859,plain,
    ( ~ spl0_138
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f124,f489,f856]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c0_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f854,plain,
    ( ~ spl0_37
    | spl0_137 ),
    inference(avatar_split_clause,[],[f53,f851,f340]) ).

fof(f53,axiom,
    ( c1_1(a686)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f844,plain,
    ( ~ spl0_135
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f95,f190,f841]) ).

fof(f95,axiom,
    ( ~ hskp18
    | ~ c2_1(a676) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f836,plain,
    ( ~ spl0_42
    | spl0_134 ),
    inference(avatar_split_clause,[],[f79,f833,f364]) ).

fof(f79,axiom,
    ( c2_1(a641)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f831,plain,
    ( ~ spl0_8
    | spl0_22
    | spl0_92
    | spl0_36 ),
    inference(avatar_split_clause,[],[f167,f336,f600,f274,f214]) ).

fof(f274,plain,
    ( spl0_22
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c0_1(X1)
      | hskp8
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f830,plain,
    ( spl0_20
    | ~ spl0_8
    | spl0_43
    | spl0_37 ),
    inference(avatar_split_clause,[],[f149,f340,f369,f214,f264]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp20
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f829,plain,
    ( ~ spl0_133
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f88,f483,f826]) ).

fof(f483,plain,
    ( spl0_68
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f88,axiom,
    ( ~ hskp22
    | ~ c0_1(a693) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f824,plain,
    ( ~ spl0_132
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f110,f298,f821]) ).

fof(f298,plain,
    ( spl0_28
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f110,axiom,
    ( ~ hskp9
    | ~ c0_1(a654) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f819,plain,
    ( spl0_14
    | spl0_68
    | spl0_69 ),
    inference(avatar_split_clause,[],[f34,f489,f483,f239]) ).

fof(f34,axiom,
    ( hskp2
    | hskp22
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f815,plain,
    ( spl0_24
    | ~ spl0_8
    | spl0_73
    | spl0_44 ),
    inference(avatar_split_clause,[],[f165,f373,f505,f214,f281]) ).

fof(f505,plain,
    ( spl0_73
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | hskp6
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f814,plain,
    ( ~ spl0_10
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f87,f811,f221]) ).

fof(f221,plain,
    ( spl0_10
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f87,axiom,
    ( ~ c3_1(a695)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f803,plain,
    ( ~ spl0_22
    | spl0_129 ),
    inference(avatar_split_clause,[],[f69,f800,f274]) ).

fof(f69,axiom,
    ( c3_1(a652)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f797,plain,
    ( ~ spl0_8
    | spl0_82
    | spl0_43
    | spl0_63 ),
    inference(avatar_split_clause,[],[f159,f460,f369,f547,f214]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | hskp12
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f796,plain,
    ( ~ spl0_73
    | spl0_128 ),
    inference(avatar_split_clause,[],[f71,f793,f505]) ).

fof(f71,axiom,
    ( c0_1(a648)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f785,plain,
    ( ~ spl0_68
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f214,f483]) ).

fof(f8,axiom,
    ( ndr1_0
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f784,plain,
    ( spl0_126
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f39,f259,f781]) ).

fof(f259,plain,
    ( spl0_19
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f39,axiom,
    ( ~ hskp29
    | c3_1(a688) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f778,plain,
    ( ~ spl0_43
    | spl0_125 ),
    inference(avatar_split_clause,[],[f63,f775,f369]) ).

fof(f63,axiom,
    ( c0_1(a660)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f772,plain,
    ( ~ spl0_124
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f103,f292,f769]) ).

fof(f103,axiom,
    ( ~ hskp14
    | ~ c1_1(a665) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f761,plain,
    ( spl0_122
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f38,f259,f758]) ).

fof(f38,axiom,
    ( ~ hskp29
    | c2_1(a688) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f751,plain,
    ( ~ spl0_65
    | spl0_120 ),
    inference(avatar_split_clause,[],[f59,f748,f470]) ).

fof(f59,axiom,
    ( c1_1(a672)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f746,plain,
    ( ~ spl0_11
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f118,f743,f225]) ).

fof(f225,plain,
    ( spl0_11
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f118,axiom,
    ( ~ c0_1(a647)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f736,plain,
    ( spl0_117
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f77,f186,f733]) ).

fof(f77,axiom,
    ( ~ hskp1
    | c0_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f727,plain,
    ( spl0_115
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f37,f259,f724]) ).

fof(f37,axiom,
    ( ~ hskp29
    | c1_1(a688) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f722,plain,
    ( ~ spl0_29
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f104,f719,f303]) ).

fof(f303,plain,
    ( spl0_29
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f104,axiom,
    ( ~ c1_1(a661)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f717,plain,
    ( ~ spl0_73
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f117,f714,f505]) ).

fof(f117,axiom,
    ( ~ c3_1(a648)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f712,plain,
    ( ~ spl0_69
    | spl0_8 ),
    inference(avatar_split_clause,[],[f28,f214,f489]) ).

fof(f28,axiom,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f704,plain,
    ( ~ spl0_111
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f116,f505,f701]) ).

fof(f116,axiom,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f689,plain,
    ( ~ spl0_8
    | spl0_82
    | spl0_20
    | spl0_108 ),
    inference(avatar_split_clause,[],[f177,f687,f264,f547,f214]) ).

fof(f177,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f685,plain,
    ( ~ spl0_41
    | spl0_107 ),
    inference(avatar_split_clause,[],[f74,f682,f359]) ).

fof(f74,axiom,
    ( c3_1(a645)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f680,plain,
    ( ~ spl0_106
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f96,f243,f677]) ).

fof(f96,axiom,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f675,plain,
    ( spl0_105
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f52,f483,f672]) ).

fof(f52,axiom,
    ( ~ hskp22
    | c3_1(a693) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f668,plain,
    ( ~ spl0_104
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f111,f298,f665]) ).

fof(f111,axiom,
    ( ~ hskp9
    | ~ c1_1(a654) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f663,plain,
    ( spl0_65
    | ~ spl0_8
    | spl0_50
    | spl0_71 ),
    inference(avatar_split_clause,[],[f133,f498,f398,f214,f470]) ).

fof(f398,plain,
    ( spl0_50
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f133,axiom,
    ! [X0] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | hskp28
      | ~ ndr1_0
      | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f661,plain,
    ( spl0_103
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f40,f398,f658]) ).

fof(f40,axiom,
    ( ~ hskp28
    | c0_1(a671) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f656,plain,
    ( spl0_92
    | ~ spl0_8
    | spl0_23
    | spl0_41 ),
    inference(avatar_split_clause,[],[f168,f359,f278,f214,f600]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( hskp3
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f654,plain,
    ( ~ spl0_8
    | spl0_48
    | spl0_20 ),
    inference(avatar_split_clause,[],[f160,f264,f390,f214]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f653,plain,
    ( spl0_73
    | spl0_69
    | ~ spl0_8
    | spl0_78 ),
    inference(avatar_split_clause,[],[f130,f527,f214,f489,f505]) ).

fof(f130,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp2
      | hskp6
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f652,plain,
    ( ~ spl0_6
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f100,f649,f205]) ).

fof(f205,plain,
    ( spl0_6
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f100,axiom,
    ( ~ c0_1(a667)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f637,plain,
    ( spl0_99
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f76,f489,f634]) ).

fof(f76,axiom,
    ( ~ hskp2
    | c2_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f613,plain,
    ( ~ spl0_29
    | spl0_94 ),
    inference(avatar_split_clause,[],[f62,f610,f303]) ).

fof(f62,axiom,
    ( c0_1(a661)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f608,plain,
    ( spl0_93
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f58,f243,f605]) ).

fof(f58,axiom,
    ( ~ hskp17
    | c2_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f603,plain,
    ( ~ spl0_8
    | spl0_37
    | spl0_9
    | spl0_68 ),
    inference(avatar_split_clause,[],[f144,f483,f218,f340,f214]) ).

fof(f144,axiom,
    ! [X0] :
      ( hskp22
      | c2_1(X0)
      | hskp20
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f602,plain,
    ( ~ spl0_8
    | spl0_69
    | spl0_92
    | spl0_18 ),
    inference(avatar_split_clause,[],[f157,f256,f600,f489,f214]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | hskp2
      | ~ ndr1_0
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f593,plain,
    ( ~ spl0_8
    | spl0_6
    | spl0_28
    | spl0_20 ),
    inference(avatar_split_clause,[],[f150,f264,f298,f205,f214]) ).

fof(f150,axiom,
    ! [X0] :
      ( c3_1(X0)
      | ~ c0_1(X0)
      | hskp9
      | ~ c2_1(X0)
      | hskp15
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f587,plain,
    ( ~ spl0_89
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f86,f221,f584]) ).

fof(f86,axiom,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f582,plain,
    ( ~ spl0_8
    | spl0_78
    | spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f173,f433,f285,f527,f214]) ).

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

fof(f580,plain,
    ( ~ spl0_41
    | spl0_88 ),
    inference(avatar_split_clause,[],[f73,f577,f359]) ).

fof(f73,axiom,
    ( c1_1(a645)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f573,plain,
    ( ~ spl0_1
    | spl0_87 ),
    inference(avatar_split_clause,[],[f70,f570,f182]) ).

fof(f182,plain,
    ( spl0_1
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f70,axiom,
    ( c3_1(a651)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f555,plain,
    ( ~ spl0_3
    | spl0_83 ),
    inference(avatar_split_clause,[],[f56,f552,f190]) ).

fof(f56,axiom,
    ( c0_1(a676)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f550,plain,
    ( spl0_1
    | ~ spl0_8
    | spl0_82
    | spl0_36 ),
    inference(avatar_split_clause,[],[f169,f336,f547,f214,f182]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f549,plain,
    ( ~ spl0_8
    | spl0_82
    | spl0_1
    | spl0_58 ),
    inference(avatar_split_clause,[],[f166,f436,f182,f547,f214]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | hskp7
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f545,plain,
    ( spl0_81
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f50,f221,f542]) ).

fof(f50,axiom,
    ( ~ hskp23
    | c2_1(a695) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f540,plain,
    ( ~ spl0_8
    | spl0_1
    | spl0_16
    | spl0_15 ),
    inference(avatar_split_clause,[],[f141,f243,f247,f182,f214]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp17
      | ~ c2_1(X0)
      | c1_1(X0)
      | hskp7
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f534,plain,
    ( ~ spl0_50
    | spl0_79 ),
    inference(avatar_split_clause,[],[f41,f531,f398]) ).

fof(f41,axiom,
    ( c1_1(a671)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f529,plain,
    ( ~ spl0_8
    | spl0_11
    | spl0_26
    | spl0_78 ),
    inference(avatar_split_clause,[],[f156,f527,f288,f225,f214]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | hskp5
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f516,plain,
    ( ~ spl0_43
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f106,f513,f369]) ).

fof(f106,axiom,
    ( ~ c1_1(a660)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f511,plain,
    ( spl0_41
    | spl0_73
    | ~ spl0_8
    | spl0_74 ),
    inference(avatar_split_clause,[],[f132,f509,f214,f505,f359]) ).

fof(f132,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ ndr1_0
      | hskp6
      | ~ c2_1(X0)
      | c3_1(X0)
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f492,plain,
    ( spl0_69
    | spl0_3
    | spl0_37 ),
    inference(avatar_split_clause,[],[f32,f340,f190,f489]) ).

fof(f32,axiom,
    ( hskp20
    | hskp18
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f486,plain,
    ( spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f51,f483,f479]) ).

fof(f51,axiom,
    ( ~ hskp22
    | c2_1(a693) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f477,plain,
    ( ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f98,f474,f470]) ).

fof(f98,axiom,
    ( ~ c2_1(a672)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f467,plain,
    ( spl0_64
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f68,f274,f464]) ).

fof(f68,axiom,
    ( ~ hskp8
    | c0_1(a652) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f462,plain,
    ( ~ spl0_8
    | spl0_62
    | spl0_44
    | spl0_63 ),
    inference(avatar_split_clause,[],[f175,f460,f373,f457,f214]) ).

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

fof(f455,plain,
    ( ~ spl0_42
    | spl0_61 ),
    inference(avatar_split_clause,[],[f80,f452,f364]) ).

fof(f80,axiom,
    ( c3_1(a641)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f450,plain,
    ( ~ spl0_22
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f113,f447,f274]) ).

fof(f113,axiom,
    ( ~ c2_1(a652)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f445,plain,
    ( ~ spl0_59
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f97,f243,f442]) ).

fof(f97,axiom,
    ( ~ hskp17
    | ~ c3_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f417,plain,
    ( spl0_11
    | ~ spl0_8
    | spl0_37
    | spl0_48 ),
    inference(avatar_split_clause,[],[f135,f390,f340,f214,f225]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp20
      | ~ ndr1_0
      | hskp5
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f416,plain,
    ( ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f102,f413,f292]) ).

fof(f102,axiom,
    ( ~ c0_1(a665)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f411,plain,
    ( spl0_52
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f72,f225,f408]) ).

fof(f72,axiom,
    ( ~ hskp5
    | c1_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f401,plain,
    ( spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f42,f398,f394]) ).

fof(f42,axiom,
    ( ~ hskp28
    | c2_1(a671) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f380,plain,
    ( ~ spl0_14
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f94,f377,f239]) ).

fof(f94,axiom,
    ( ~ c2_1(a682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f375,plain,
    ( spl0_29
    | spl0_43
    | ~ spl0_8
    | spl0_44 ),
    inference(avatar_split_clause,[],[f131,f373,f214,f369,f303]) ).

fof(f131,axiom,
    ! [X0] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp12
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f347,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f54,f344,f340]) ).

fof(f54,axiom,
    ( c2_1(a686)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f330,plain,
    ( ~ spl0_34
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f101,f205,f327]) ).

fof(f101,axiom,
    ( ~ hskp15
    | ~ c2_1(a667) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f325,plain,
    ( ~ spl0_14
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f93,f322,f239]) ).

fof(f93,axiom,
    ( ~ c1_1(a682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f315,plain,
    ( ~ spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f115,f182,f312]) ).

fof(f115,axiom,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f310,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f105,f307,f303]) ).

fof(f105,axiom,
    ( ~ c3_1(a661)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f290,plain,
    ( ~ spl0_8
    | spl0_25
    | spl0_16
    | spl0_26 ),
    inference(avatar_split_clause,[],[f178,f288,f247,f285,f214]) ).

fof(f178,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X2)
      | c3_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f283,plain,
    ( ~ spl0_8
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f172,f281,f278,f274,f214]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c3_1(X0)
      | hskp8
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f272,plain,
    ( ~ spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f55,f269,f239]) ).

fof(f55,axiom,
    ( c3_1(a682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f266,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f148,f264,f259,f214,f186]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | hskp29
      | ~ ndr1_0
      | hskp1
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f262,plain,
    ( spl0_18
    | ~ spl0_8
    | spl0_11
    | spl0_19 ),
    inference(avatar_split_clause,[],[f136,f259,f225,f214,f256]) ).

fof(f136,axiom,
    ! [X0] :
      ( hskp29
      | hskp5
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f254,plain,
    ( ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f119,f251,f225]) ).

fof(f119,axiom,
    ( ~ c3_1(a647)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f249,plain,
    ( spl0_14
    | ~ spl0_8
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f142,f247,f243,f214,f239]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c1_1(X0)
      | hskp17
      | ~ ndr1_0
      | hskp19
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f228,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f145,f225,f221,f218,f214]) ).

fof(f145,axiom,
    ! [X0] :
      ( hskp5
      | hskp23
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f212,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f60,f209,f205]) ).

fof(f60,axiom,
    ( c3_1(a667)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f203,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f114,f200,f182]) ).

fof(f114,axiom,
    ( ~ c0_1(a651)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f198,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f78,f186,f195]) ).

fof(f78,axiom,
    ( ~ hskp1
    | c3_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f193,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f31,f190,f186,f182]) ).

fof(f31,axiom,
    ( hskp18
    | hskp1
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN450-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:00:10 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (27074)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.50  % (27067)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (27066)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (27066)Instruction limit reached!
% 0.18/0.51  % (27066)------------------------------
% 0.18/0.51  % (27066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (27066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (27066)Termination reason: Unknown
% 0.18/0.51  % (27066)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (27066)Memory used [KB]: 6012
% 0.18/0.51  % (27066)Time elapsed: 0.108 s
% 0.18/0.51  % (27066)Instructions burned: 7 (million)
% 0.18/0.51  % (27066)------------------------------
% 0.18/0.51  % (27066)------------------------------
% 0.18/0.51  % (27064)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51  % (27067)Instruction limit reached!
% 0.18/0.51  % (27067)------------------------------
% 0.18/0.51  % (27067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (27067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (27067)Termination reason: Unknown
% 0.18/0.51  % (27067)Termination phase: Blocked clause elimination
% 0.18/0.51  
% 0.18/0.51  % (27067)Memory used [KB]: 1151
% 0.18/0.51  % (27067)Time elapsed: 0.004 s
% 0.18/0.51  % (27067)Instructions burned: 4 (million)
% 0.18/0.51  % (27067)------------------------------
% 0.18/0.51  % (27067)------------------------------
% 0.18/0.51  % (27082)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.51  % (27063)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (27059)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52  Detected maximum model sizes of [30]
% 0.18/0.52  % (27062)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (27060)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (27080)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52  % (27077)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (27087)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (27061)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (27078)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (27085)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (27088)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53  % (27076)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53  % (27068)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (27071)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53  % (27075)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (27084)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (27079)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54  % (27086)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.54  TRYING [1]
% 0.18/0.54  TRYING [2]
% 0.18/0.54  % (27072)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (27069)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (27070)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  TRYING [3]
% 0.18/0.54  % (27083)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54  TRYING [4]
% 0.18/0.54  % (27081)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.55  % (27060)Refutation not found, incomplete strategy% (27060)------------------------------
% 0.18/0.55  % (27060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (27060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (27060)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.55  
% 0.18/0.55  % (27060)Memory used [KB]: 6140
% 0.18/0.55  % (27060)Time elapsed: 0.146 s
% 0.18/0.55  % (27060)Instructions burned: 17 (million)
% 0.18/0.55  % (27060)------------------------------
% 0.18/0.55  % (27060)------------------------------
% 0.18/0.55  % (27073)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.55  Detected maximum model sizes of [30]
% 0.18/0.55  TRYING [1]
% 0.18/0.55  TRYING [2]
% 0.18/0.55  TRYING [3]
% 0.18/0.56  % (27065)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.57  % (27064)Instruction limit reached!
% 0.18/0.57  % (27064)------------------------------
% 0.18/0.57  % (27064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (27064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (27064)Termination reason: Unknown
% 0.18/0.57  % (27064)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (27064)Memory used [KB]: 6780
% 0.18/0.57  % (27064)Time elapsed: 0.154 s
% 0.18/0.57  % (27064)Instructions burned: 48 (million)
% 0.18/0.57  % (27064)------------------------------
% 0.18/0.57  % (27064)------------------------------
% 0.18/0.57  TRYING [5]
% 0.18/0.58  TRYING [4]
% 0.18/0.58  Detected maximum model sizes of [30]
% 0.18/0.58  TRYING [1]
% 0.18/0.58  TRYING [2]
% 0.18/0.58  TRYING [3]
% 0.18/0.58  % (27061)Instruction limit reached!
% 0.18/0.58  % (27061)------------------------------
% 0.18/0.58  % (27061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (27061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (27061)Termination reason: Unknown
% 0.18/0.58  % (27061)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (27061)Memory used [KB]: 1279
% 0.18/0.58  % (27061)Time elapsed: 0.168 s
% 0.18/0.58  % (27061)Instructions burned: 38 (million)
% 0.18/0.58  % (27061)------------------------------
% 0.18/0.58  % (27061)------------------------------
% 1.93/0.59  % (27088)First to succeed.
% 1.93/0.60  % (27074)Instruction limit reached!
% 1.93/0.60  % (27074)------------------------------
% 1.93/0.60  % (27074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60  TRYING [4]
% 1.93/0.60  % (27074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (27074)Termination reason: Unknown
% 1.93/0.60  % (27074)Termination phase: Saturation
% 1.93/0.60  
% 1.93/0.60  % (27074)Memory used [KB]: 1279
% 1.93/0.60  % (27074)Time elapsed: 0.184 s
% 1.93/0.60  % (27074)Instructions burned: 76 (million)
% 1.93/0.60  % (27074)------------------------------
% 1.93/0.60  % (27074)------------------------------
% 2.07/0.61  % (27088)Refutation found. Thanks to Tanya!
% 2.07/0.61  % SZS status Unsatisfiable for theBenchmark
% 2.07/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.61  % (27088)------------------------------
% 2.07/0.61  % (27088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.61  % (27088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.61  % (27088)Termination reason: Refutation
% 2.07/0.61  
% 2.07/0.61  % (27088)Memory used [KB]: 6652
% 2.07/0.61  % (27088)Time elapsed: 0.188 s
% 2.07/0.61  % (27088)Instructions burned: 35 (million)
% 2.07/0.61  % (27088)------------------------------
% 2.07/0.61  % (27088)------------------------------
% 2.07/0.61  % (27058)Success in time 0.263 s
%------------------------------------------------------------------------------