TSTP Solution File: SYN506-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN506-1 : 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 : n027.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 19:38:36 EDT 2022

% Result   : Unsatisfiable 0.19s 0.60s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  250
% Syntax   : Number of formulae    :  572 (   1 unt;   0 def)
%            Number of atoms       : 1841 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2176 ( 907   ~;1134   |;   0   &)
%                                         ( 135 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  164 ( 163 usr; 160 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  133 ( 133   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2104,plain,
    $false,
    inference(avatar_sat_refutation,[],[f211,f220,f230,f239,f261,f272,f281,f290,f322,f355,f373,f378,f391,f400,f409,f415,f420,f430,f435,f452,f461,f470,f471,f487,f493,f498,f503,f511,f516,f520,f525,f531,f538,f568,f569,f574,f578,f587,f601,f607,f614,f619,f624,f629,f640,f645,f650,f659,f664,f669,f674,f678,f683,f688,f693,f694,f699,f704,f709,f710,f720,f721,f723,f728,f733,f738,f743,f744,f748,f753,f758,f759,f760,f765,f771,f777,f783,f796,f799,f802,f803,f813,f818,f828,f833,f834,f835,f836,f845,f846,f848,f854,f855,f859,f864,f869,f870,f872,f878,f880,f881,f882,f883,f885,f890,f898,f903,f911,f919,f920,f922,f923,f928,f939,f954,f960,f975,f989,f990,f997,f1003,f1010,f1011,f1017,f1027,f1042,f1057,f1084,f1094,f1096,f1097,f1109,f1115,f1132,f1138,f1139,f1147,f1152,f1153,f1165,f1174,f1201,f1214,f1232,f1269,f1297,f1312,f1328,f1445,f1485,f1486,f1489,f1515,f1527,f1593,f1634,f1662,f1676,f1677,f1684,f1685,f1686,f1732,f1733,f1777,f1794,f1846,f1899,f1900,f1904,f1917,f1935,f1936,f1943,f1965,f1993,f1999,f2035,f2049,f2063,f2064,f2101]) ).

fof(f2101,plain,
    ( spl0_74
    | spl0_117
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2099,f994,f209,f740,f522]) ).

fof(f522,plain,
    ( spl0_74
  <=> c1_1(a324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f740,plain,
    ( spl0_117
  <=> c3_1(a324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f209,plain,
    ( spl0_4
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f994,plain,
    ( spl0_152
  <=> c2_1(a324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2099,plain,
    ( c3_1(a324)
    | c1_1(a324)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f210,f996]) ).

fof(f996,plain,
    ( c2_1(a324)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f210,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f2064,plain,
    ( ~ spl0_121
    | spl0_174
    | ~ spl0_98
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2052,f746,f642,f1524,f762]) ).

fof(f762,plain,
    ( spl0_121
  <=> c1_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1524,plain,
    ( spl0_174
  <=> c2_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f642,plain,
    ( spl0_98
  <=> c3_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f746,plain,
    ( spl0_118
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2052,plain,
    ( c2_1(a333)
    | ~ c1_1(a333)
    | ~ spl0_98
    | ~ spl0_118 ),
    inference(resolution,[],[f747,f644]) ).

fof(f644,plain,
    ( c3_1(a333)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f747,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f2063,plain,
    ( spl0_132
    | ~ spl0_172
    | ~ spl0_118
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2057,f793,f746,f1442,f830]) ).

fof(f830,plain,
    ( spl0_132
  <=> c2_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1442,plain,
    ( spl0_172
  <=> c1_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f793,plain,
    ( spl0_126
  <=> c3_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2057,plain,
    ( ~ c1_1(a345)
    | c2_1(a345)
    | ~ spl0_118
    | ~ spl0_126 ),
    inference(resolution,[],[f747,f795]) ).

fof(f795,plain,
    ( c3_1(a345)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f2049,plain,
    ( ~ spl0_97
    | spl0_66
    | ~ spl0_52
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2040,f652,f417,f484,f637]) ).

fof(f637,plain,
    ( spl0_97
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f484,plain,
    ( spl0_66
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f417,plain,
    ( spl0_52
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f652,plain,
    ( spl0_100
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2040,plain,
    ( c0_1(a353)
    | ~ c1_1(a353)
    | ~ spl0_52
    | ~ spl0_100 ),
    inference(resolution,[],[f653,f419]) ).

fof(f419,plain,
    ( c2_1(a353)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f653,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f2035,plain,
    ( ~ spl0_129
    | ~ spl0_174
    | ~ spl0_88
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2025,f642,f589,f1524,f815]) ).

fof(f815,plain,
    ( spl0_129
  <=> c0_1(a333) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f589,plain,
    ( spl0_88
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2025,plain,
    ( ~ c2_1(a333)
    | ~ c0_1(a333)
    | ~ spl0_88
    | ~ spl0_98 ),
    inference(resolution,[],[f590,f644]) ).

fof(f590,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f1999,plain,
    ( spl0_144
    | spl0_161
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1986,f319,f270,f1112,f925]) ).

fof(f925,plain,
    ( spl0_144
  <=> c2_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1112,plain,
    ( spl0_161
  <=> c1_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f270,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f319,plain,
    ( spl0_30
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1986,plain,
    ( c1_1(a359)
    | c2_1(a359)
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(resolution,[],[f271,f321]) ).

fof(f321,plain,
    ( c3_1(a359)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f1993,plain,
    ( spl0_55
    | spl0_38
    | ~ spl0_19
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1985,f951,f270,f352,f432]) ).

fof(f432,plain,
    ( spl0_55
  <=> c2_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f352,plain,
    ( spl0_38
  <=> c1_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f951,plain,
    ( spl0_149
  <=> c3_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1985,plain,
    ( c1_1(a367)
    | c2_1(a367)
    | ~ spl0_19
    | ~ spl0_149 ),
    inference(resolution,[],[f271,f953]) ).

fof(f953,plain,
    ( c3_1(a367)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f1965,plain,
    ( ~ spl0_120
    | ~ spl0_61
    | ~ spl0_88
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1962,f1149,f589,f458,f755]) ).

fof(f755,plain,
    ( spl0_120
  <=> c0_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f458,plain,
    ( spl0_61
  <=> c2_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1149,plain,
    ( spl0_163
  <=> c3_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1962,plain,
    ( ~ c2_1(a343)
    | ~ c0_1(a343)
    | ~ spl0_88
    | ~ spl0_163 ),
    inference(resolution,[],[f1151,f590]) ).

fof(f1151,plain,
    ( c3_1(a343)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f1943,plain,
    ( spl0_132
    | ~ spl0_107
    | ~ spl0_110
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1928,f793,f702,f685,f830]) ).

fof(f685,plain,
    ( spl0_107
  <=> c0_1(a345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f702,plain,
    ( spl0_110
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1928,plain,
    ( ~ c0_1(a345)
    | c2_1(a345)
    | ~ spl0_110
    | ~ spl0_126 ),
    inference(resolution,[],[f703,f795]) ).

fof(f703,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1936,plain,
    ( spl0_55
    | ~ spl0_175
    | ~ spl0_110
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1923,f951,f702,f1638,f432]) ).

fof(f1638,plain,
    ( spl0_175
  <=> c0_1(a367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1923,plain,
    ( ~ c0_1(a367)
    | c2_1(a367)
    | ~ spl0_110
    | ~ spl0_149 ),
    inference(resolution,[],[f703,f953]) ).

fof(f1935,plain,
    ( ~ spl0_124
    | spl0_143
    | ~ spl0_110
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1921,f1054,f702,f916,f780]) ).

fof(f780,plain,
    ( spl0_124
  <=> c0_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f916,plain,
    ( spl0_143
  <=> c2_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1054,plain,
    ( spl0_157
  <=> c3_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1921,plain,
    ( c2_1(a419)
    | ~ c0_1(a419)
    | ~ spl0_110
    | ~ spl0_157 ),
    inference(resolution,[],[f703,f1056]) ).

fof(f1056,plain,
    ( c3_1(a419)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1054]) ).

fof(f1917,plain,
    ( spl0_46
    | ~ spl0_122
    | ~ spl0_2
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1911,f1673,f202,f768,f388]) ).

fof(f388,plain,
    ( spl0_46
  <=> c1_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f768,plain,
    ( spl0_122
  <=> c0_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f202,plain,
    ( spl0_2
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1673,plain,
    ( spl0_176
  <=> c2_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1911,plain,
    ( ~ c0_1(a348)
    | c1_1(a348)
    | ~ spl0_2
    | ~ spl0_176 ),
    inference(resolution,[],[f203,f1675]) ).

fof(f1675,plain,
    ( c2_1(a348)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1673]) ).

fof(f203,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f1904,plain,
    ( spl0_49
    | spl0_128
    | ~ spl0_77
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1747,f1014,f536,f810,f402]) ).

fof(f402,plain,
    ( spl0_49
  <=> c2_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f810,plain,
    ( spl0_128
  <=> c3_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f536,plain,
    ( spl0_77
  <=> ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1014,plain,
    ( spl0_153
  <=> c1_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1747,plain,
    ( c3_1(a337)
    | c2_1(a337)
    | ~ spl0_77
    | ~ spl0_153 ),
    inference(resolution,[],[f537,f1016]) ).

fof(f1016,plain,
    ( c1_1(a337)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f537,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f1900,plain,
    ( spl0_55
    | spl0_175
    | ~ spl0_105
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1887,f951,f676,f1638,f432]) ).

fof(f676,plain,
    ( spl0_105
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1887,plain,
    ( c0_1(a367)
    | c2_1(a367)
    | ~ spl0_105
    | ~ spl0_149 ),
    inference(resolution,[],[f677,f953]) ).

fof(f677,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f1899,plain,
    ( spl0_83
    | spl0_144
    | ~ spl0_30
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1888,f676,f319,f925,f565]) ).

fof(f565,plain,
    ( spl0_83
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1888,plain,
    ( c2_1(a359)
    | c0_1(a359)
    | ~ spl0_30
    | ~ spl0_105 ),
    inference(resolution,[],[f677,f321]) ).

fof(f1846,plain,
    ( ~ spl0_121
    | ~ spl0_129
    | ~ spl0_93
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1822,f642,f617,f815,f762]) ).

fof(f617,plain,
    ( spl0_93
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1822,plain,
    ( ~ c0_1(a333)
    | ~ c1_1(a333)
    | ~ spl0_93
    | ~ spl0_98 ),
    inference(resolution,[],[f618,f644]) ).

fof(f618,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f1794,plain,
    ( ~ spl0_102
    | ~ spl0_160
    | ~ spl0_88
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1786,f671,f589,f1106,f661]) ).

fof(f661,plain,
    ( spl0_102
  <=> c2_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1106,plain,
    ( spl0_160
  <=> c0_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f671,plain,
    ( spl0_104
  <=> c3_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1786,plain,
    ( ~ c0_1(a347)
    | ~ c2_1(a347)
    | ~ spl0_88
    | ~ spl0_104 ),
    inference(resolution,[],[f590,f673]) ).

fof(f673,plain,
    ( c3_1(a347)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f1777,plain,
    ( spl0_46
    | spl0_10
    | ~ spl0_85
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1766,f768,f576,f232,f388]) ).

fof(f232,plain,
    ( spl0_10
  <=> c3_1(a348) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f576,plain,
    ( spl0_85
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1766,plain,
    ( c3_1(a348)
    | c1_1(a348)
    | ~ spl0_85
    | ~ spl0_122 ),
    inference(resolution,[],[f577,f770]) ).

fof(f770,plain,
    ( c0_1(a348)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f577,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1733,plain,
    ( spl0_150
    | spl0_66
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1721,f637,f533,f484,f964]) ).

fof(f964,plain,
    ( spl0_150
  <=> c3_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f533,plain,
    ( spl0_76
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1721,plain,
    ( c0_1(a353)
    | c3_1(a353)
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(resolution,[],[f534,f639]) ).

fof(f639,plain,
    ( c1_1(a353)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f534,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f1732,plain,
    ( spl0_59
    | spl0_159
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1719,f621,f533,f1091,f449]) ).

fof(f449,plain,
    ( spl0_59
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1091,plain,
    ( spl0_159
  <=> c0_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f621,plain,
    ( spl0_94
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1719,plain,
    ( c0_1(a355)
    | c3_1(a355)
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(resolution,[],[f534,f623]) ).

fof(f623,plain,
    ( c1_1(a355)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f1686,plain,
    ( spl0_167
    | spl0_67
    | ~ spl0_42
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1609,f887,f371,f490,f1224]) ).

fof(f1224,plain,
    ( spl0_167
  <=> c2_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f490,plain,
    ( spl0_67
  <=> c3_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f371,plain,
    ( spl0_42
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f887,plain,
    ( spl0_139
  <=> c0_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1609,plain,
    ( c3_1(a327)
    | c2_1(a327)
    | ~ spl0_42
    | ~ spl0_139 ),
    inference(resolution,[],[f372,f889]) ).

fof(f889,plain,
    ( c0_1(a327)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f372,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1685,plain,
    ( ~ spl0_122
    | spl0_10
    | ~ spl0_44
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1683,f1673,f380,f232,f768]) ).

fof(f380,plain,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1683,plain,
    ( c3_1(a348)
    | ~ c0_1(a348)
    | ~ spl0_44
    | ~ spl0_176 ),
    inference(resolution,[],[f1675,f381]) ).

fof(f381,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f1684,plain,
    ( spl0_46
    | spl0_10
    | ~ spl0_4
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1682,f1673,f209,f232,f388]) ).

fof(f1682,plain,
    ( c3_1(a348)
    | c1_1(a348)
    | ~ spl0_4
    | ~ spl0_176 ),
    inference(resolution,[],[f1675,f210]) ).

fof(f1677,plain,
    ( spl0_46
    | spl0_176
    | ~ spl0_71
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1671,f768,f509,f1673,f388]) ).

fof(f509,plain,
    ( spl0_71
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1671,plain,
    ( c2_1(a348)
    | c1_1(a348)
    | ~ spl0_71
    | ~ spl0_122 ),
    inference(resolution,[],[f770,f510]) ).

fof(f510,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1676,plain,
    ( spl0_10
    | spl0_176
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1670,f768,f371,f1673,f232]) ).

fof(f1670,plain,
    ( c2_1(a348)
    | c3_1(a348)
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(resolution,[],[f770,f372]) ).

fof(f1662,plain,
    ( ~ spl0_102
    | spl0_108
    | ~ spl0_73
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1650,f671,f518,f690,f661]) ).

fof(f690,plain,
    ( spl0_108
  <=> c1_1(a347) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f518,plain,
    ( spl0_73
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1650,plain,
    ( c1_1(a347)
    | ~ c2_1(a347)
    | ~ spl0_73
    | ~ spl0_104 ),
    inference(resolution,[],[f519,f673]) ).

fof(f519,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1634,plain,
    ( spl0_138
    | spl0_109
    | ~ spl0_70
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1627,f680,f506,f696,f875]) ).

fof(f875,plain,
    ( spl0_138
  <=> c0_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f696,plain,
    ( spl0_109
  <=> c1_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f506,plain,
    ( spl0_70
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f680,plain,
    ( spl0_106
  <=> c3_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1627,plain,
    ( c1_1(a330)
    | c0_1(a330)
    | ~ spl0_70
    | ~ spl0_106 ),
    inference(resolution,[],[f507,f682]) ).

fof(f682,plain,
    ( c3_1(a330)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f507,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f1593,plain,
    ( ~ spl0_159
    | spl0_59
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1580,f621,f259,f449,f1091]) ).

fof(f259,plain,
    ( spl0_16
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1580,plain,
    ( c3_1(a355)
    | ~ c0_1(a355)
    | ~ spl0_16
    | ~ spl0_94 ),
    inference(resolution,[],[f260,f623]) ).

fof(f260,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f1527,plain,
    ( ~ spl0_121
    | ~ spl0_174
    | ~ spl0_34
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1521,f642,f337,f1524,f762]) ).

fof(f337,plain,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1521,plain,
    ( ~ c2_1(a333)
    | ~ c1_1(a333)
    | ~ spl0_34
    | ~ spl0_98 ),
    inference(resolution,[],[f644,f338]) ).

fof(f338,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f1515,plain,
    ( ~ spl0_61
    | ~ spl0_72
    | ~ spl0_34
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1498,f1149,f337,f513,f458]) ).

fof(f513,plain,
    ( spl0_72
  <=> c1_1(a343) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1498,plain,
    ( ~ c1_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_34
    | ~ spl0_163 ),
    inference(resolution,[],[f338,f1151]) ).

fof(f1489,plain,
    ( ~ spl0_113
    | ~ spl0_135
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1386,f337,f213,f851,f717]) ).

fof(f717,plain,
    ( spl0_113
  <=> c2_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f851,plain,
    ( spl0_135
  <=> c1_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f213,plain,
    ( spl0_5
  <=> c3_1(a341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1386,plain,
    ( ~ c1_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_5
    | ~ spl0_34 ),
    inference(resolution,[],[f338,f215]) ).

fof(f215,plain,
    ( c3_1(a341)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f1486,plain,
    ( spl0_48
    | spl0_143
    | ~ spl0_71
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1464,f780,f509,f916,f397]) ).

fof(f397,plain,
    ( spl0_48
  <=> c1_1(a419) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1464,plain,
    ( c2_1(a419)
    | c1_1(a419)
    | ~ spl0_71
    | ~ spl0_124 ),
    inference(resolution,[],[f510,f782]) ).

fof(f782,plain,
    ( c0_1(a419)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1485,plain,
    ( spl0_172
    | spl0_132
    | ~ spl0_71
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1470,f685,f509,f830,f1442]) ).

fof(f1470,plain,
    ( c2_1(a345)
    | c1_1(a345)
    | ~ spl0_71
    | ~ spl0_107 ),
    inference(resolution,[],[f510,f687]) ).

fof(f687,plain,
    ( c0_1(a345)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f1445,plain,
    ( ~ spl0_107
    | spl0_172
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1426,f793,f445,f1442,f685]) ).

fof(f445,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1426,plain,
    ( c1_1(a345)
    | ~ c0_1(a345)
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(resolution,[],[f446,f795]) ).

fof(f446,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f1328,plain,
    ( spl0_66
    | spl0_150
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1304,f442,f417,f964,f484]) ).

fof(f442,plain,
    ( spl0_57
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1304,plain,
    ( c3_1(a353)
    | c0_1(a353)
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(resolution,[],[f443,f419]) ).

fof(f443,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1312,plain,
    ( spl0_59
    | spl0_159
    | ~ spl0_57
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1303,f611,f442,f1091,f449]) ).

fof(f611,plain,
    ( spl0_92
  <=> c2_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1303,plain,
    ( c0_1(a355)
    | c3_1(a355)
    | ~ spl0_57
    | ~ spl0_92 ),
    inference(resolution,[],[f443,f613]) ).

fof(f613,plain,
    ( c2_1(a355)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f1297,plain,
    ( spl0_138
    | spl0_109
    | ~ spl0_56
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1291,f1135,f437,f696,f875]) ).

fof(f437,plain,
    ( spl0_56
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1135,plain,
    ( spl0_162
  <=> c2_1(a330) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1291,plain,
    ( c1_1(a330)
    | c0_1(a330)
    | ~ spl0_56
    | spl0_162 ),
    inference(resolution,[],[f438,f1137]) ).

fof(f1137,plain,
    ( ~ c2_1(a330)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f438,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f1269,plain,
    ( spl0_62
    | spl0_137
    | ~ spl0_18
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1268,f656,f267,f866,f463]) ).

fof(f463,plain,
    ( spl0_62
  <=> c1_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f866,plain,
    ( spl0_137
  <=> c2_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f267,plain,
    ( spl0_18
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f656,plain,
    ( spl0_101
  <=> c3_1(a323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1268,plain,
    ( c2_1(a323)
    | c1_1(a323)
    | ~ spl0_18
    | spl0_101 ),
    inference(resolution,[],[f268,f658]) ).

fof(f658,plain,
    ( ~ c3_1(a323)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f268,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f1232,plain,
    ( ~ spl0_139
    | ~ spl0_75
    | ~ spl0_9
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1230,f1224,f228,f528,f887]) ).

fof(f528,plain,
    ( spl0_75
  <=> c1_1(a327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f228,plain,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1230,plain,
    ( ~ c1_1(a327)
    | ~ c0_1(a327)
    | ~ spl0_9
    | ~ spl0_167 ),
    inference(resolution,[],[f1226,f229]) ).

fof(f229,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f1226,plain,
    ( c2_1(a327)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1224]) ).

fof(f1214,plain,
    ( ~ spl0_139
    | spl0_67
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1211,f528,f259,f490,f887]) ).

fof(f1211,plain,
    ( c3_1(a327)
    | ~ c0_1(a327)
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(resolution,[],[f260,f530]) ).

fof(f530,plain,
    ( c1_1(a327)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f1201,plain,
    ( spl0_144
    | spl0_83
    | ~ spl0_7
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1182,f1112,f222,f565,f925]) ).

fof(f222,plain,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1182,plain,
    ( c0_1(a359)
    | c2_1(a359)
    | ~ spl0_7
    | ~ spl0_161 ),
    inference(resolution,[],[f223,f1114]) ).

fof(f1114,plain,
    ( c1_1(a359)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f223,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f1174,plain,
    ( ~ spl0_114
    | spl0_22
    | ~ spl0_44
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1166,f500,f380,f283,f725]) ).

fof(f725,plain,
    ( spl0_114
  <=> c0_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f283,plain,
    ( spl0_22
  <=> c3_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f500,plain,
    ( spl0_69
  <=> c2_1(a346) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1166,plain,
    ( c3_1(a346)
    | ~ c0_1(a346)
    | ~ spl0_44
    | ~ spl0_69 ),
    inference(resolution,[],[f502,f381]) ).

fof(f502,plain,
    ( c2_1(a346)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1165,plain,
    ( ~ spl0_136
    | spl0_86
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1164,f895,f367,f580,f861]) ).

fof(f861,plain,
    ( spl0_136
  <=> c2_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f580,plain,
    ( spl0_86
  <=> c0_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f367,plain,
    ( spl0_41
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f895,plain,
    ( spl0_140
  <=> c3_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1164,plain,
    ( c0_1(a322)
    | ~ c2_1(a322)
    | ~ spl0_41
    | ~ spl0_140 ),
    inference(resolution,[],[f897,f368]) ).

fof(f368,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f897,plain,
    ( c3_1(a322)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f1153,plain,
    ( spl0_163
    | ~ spl0_120
    | ~ spl0_44
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1144,f458,f380,f755,f1149]) ).

fof(f1144,plain,
    ( ~ c0_1(a343)
    | c3_1(a343)
    | ~ spl0_44
    | ~ spl0_61 ),
    inference(resolution,[],[f460,f381]) ).

fof(f460,plain,
    ( c2_1(a343)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f1152,plain,
    ( spl0_163
    | ~ spl0_72
    | ~ spl0_8
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1143,f458,f225,f513,f1149]) ).

fof(f225,plain,
    ( spl0_8
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1143,plain,
    ( ~ c1_1(a343)
    | c3_1(a343)
    | ~ spl0_8
    | ~ spl0_61 ),
    inference(resolution,[],[f460,f226]) ).

fof(f226,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f1147,plain,
    ( ~ spl0_72
    | ~ spl0_120
    | ~ spl0_9
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1145,f458,f228,f755,f513]) ).

fof(f1145,plain,
    ( ~ c0_1(a343)
    | ~ c1_1(a343)
    | ~ spl0_9
    | ~ spl0_61 ),
    inference(resolution,[],[f460,f229]) ).

fof(f1139,plain,
    ( spl0_160
    | ~ spl0_102
    | ~ spl0_41
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1129,f671,f367,f661,f1106]) ).

fof(f1129,plain,
    ( ~ c2_1(a347)
    | c0_1(a347)
    | ~ spl0_41
    | ~ spl0_104 ),
    inference(resolution,[],[f368,f673]) ).

fof(f1138,plain,
    ( spl0_138
    | ~ spl0_162
    | ~ spl0_41
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1131,f680,f367,f1135,f875]) ).

fof(f1131,plain,
    ( ~ c2_1(a330)
    | c0_1(a330)
    | ~ spl0_41
    | ~ spl0_106 ),
    inference(resolution,[],[f368,f682]) ).

fof(f1132,plain,
    ( ~ spl0_52
    | spl0_66
    | ~ spl0_41
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1127,f964,f367,f484,f417]) ).

fof(f1127,plain,
    ( c0_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_41
    | ~ spl0_150 ),
    inference(resolution,[],[f368,f966]) ).

fof(f966,plain,
    ( c3_1(a353)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f1115,plain,
    ( spl0_83
    | spl0_161
    | ~ spl0_56
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1110,f925,f437,f1112,f565]) ).

fof(f1110,plain,
    ( c1_1(a359)
    | c0_1(a359)
    | ~ spl0_56
    | spl0_144 ),
    inference(resolution,[],[f927,f438]) ).

fof(f927,plain,
    ( ~ c2_1(a359)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1109,plain,
    ( ~ spl0_160
    | spl0_108
    | ~ spl0_2
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1104,f661,f202,f690,f1106]) ).

fof(f1104,plain,
    ( c1_1(a347)
    | ~ c0_1(a347)
    | ~ spl0_2
    | ~ spl0_102 ),
    inference(resolution,[],[f663,f203]) ).

fof(f663,plain,
    ( c2_1(a347)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f1097,plain,
    ( spl0_119
    | spl0_151
    | ~ spl0_56
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1082,f626,f437,f972,f750]) ).

fof(f750,plain,
    ( spl0_119
  <=> c0_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f972,plain,
    ( spl0_151
  <=> c1_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f626,plain,
    ( spl0_95
  <=> c2_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1082,plain,
    ( c1_1(a332)
    | c0_1(a332)
    | ~ spl0_56
    | spl0_95 ),
    inference(resolution,[],[f438,f628]) ).

fof(f628,plain,
    ( ~ c2_1(a332)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1096,plain,
    ( ~ spl0_94
    | spl0_59
    | ~ spl0_8
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1087,f611,f225,f449,f621]) ).

fof(f1087,plain,
    ( c3_1(a355)
    | ~ c1_1(a355)
    | ~ spl0_8
    | ~ spl0_92 ),
    inference(resolution,[],[f613,f226]) ).

fof(f1094,plain,
    ( ~ spl0_159
    | ~ spl0_94
    | ~ spl0_9
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1088,f611,f228,f621,f1091]) ).

fof(f1088,plain,
    ( ~ c1_1(a355)
    | ~ c0_1(a355)
    | ~ spl0_9
    | ~ spl0_92 ),
    inference(resolution,[],[f613,f229]) ).

fof(f1084,plain,
    ( spl0_43
    | spl0_21
    | ~ spl0_56
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1081,f647,f437,f278,f375]) ).

fof(f375,plain,
    ( spl0_43
  <=> c1_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f278,plain,
    ( spl0_21
  <=> c0_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f647,plain,
    ( spl0_99
  <=> c2_1(a338) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1081,plain,
    ( c0_1(a338)
    | c1_1(a338)
    | ~ spl0_56
    | spl0_99 ),
    inference(resolution,[],[f438,f649]) ).

fof(f649,plain,
    ( ~ c2_1(a338)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f1057,plain,
    ( spl0_143
    | spl0_157
    | ~ spl0_42
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1037,f780,f371,f1054,f916]) ).

fof(f1037,plain,
    ( c3_1(a419)
    | c2_1(a419)
    | ~ spl0_42
    | ~ spl0_124 ),
    inference(resolution,[],[f372,f782]) ).

fof(f1042,plain,
    ( spl0_49
    | spl0_128
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1039,f842,f371,f810,f402]) ).

fof(f842,plain,
    ( spl0_134
  <=> c0_1(a337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1039,plain,
    ( c3_1(a337)
    | c2_1(a337)
    | ~ spl0_42
    | ~ spl0_134 ),
    inference(resolution,[],[f372,f844]) ).

fof(f844,plain,
    ( c0_1(a337)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f1027,plain,
    ( ~ spl0_54
    | spl0_116
    | ~ spl0_36
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1024,f936,f344,f735,f427]) ).

fof(f427,plain,
    ( spl0_54
  <=> c0_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f735,plain,
    ( spl0_116
  <=> c2_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f344,plain,
    ( spl0_36
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f936,plain,
    ( spl0_146
  <=> c1_1(a325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1024,plain,
    ( c2_1(a325)
    | ~ c0_1(a325)
    | ~ spl0_36
    | ~ spl0_146 ),
    inference(resolution,[],[f345,f938]) ).

fof(f938,plain,
    ( c1_1(a325)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f345,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f1017,plain,
    ( spl0_49
    | spl0_153
    | ~ spl0_18
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1012,f810,f267,f1014,f402]) ).

fof(f1012,plain,
    ( c1_1(a337)
    | c2_1(a337)
    | ~ spl0_18
    | spl0_128 ),
    inference(resolution,[],[f812,f268]) ).

fof(f812,plain,
    ( ~ c3_1(a337)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f1011,plain,
    ( spl0_131
    | spl0_68
    | ~ spl0_7
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1006,f666,f222,f495,f825]) ).

fof(f825,plain,
    ( spl0_131
  <=> c0_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f495,plain,
    ( spl0_68
  <=> c2_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f666,plain,
    ( spl0_103
  <=> c1_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1006,plain,
    ( c2_1(a401)
    | c0_1(a401)
    | ~ spl0_7
    | ~ spl0_103 ),
    inference(resolution,[],[f223,f668]) ).

fof(f668,plain,
    ( c1_1(a401)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1010,plain,
    ( spl0_95
    | spl0_119
    | ~ spl0_7
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1009,f972,f222,f750,f626]) ).

fof(f1009,plain,
    ( c0_1(a332)
    | c2_1(a332)
    | ~ spl0_7
    | ~ spl0_151 ),
    inference(resolution,[],[f223,f974]) ).

fof(f974,plain,
    ( c1_1(a332)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f1003,plain,
    ( ~ spl0_97
    | ~ spl0_52
    | ~ spl0_34
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1001,f964,f337,f417,f637]) ).

fof(f1001,plain,
    ( ~ c2_1(a353)
    | ~ c1_1(a353)
    | ~ spl0_34
    | ~ spl0_150 ),
    inference(resolution,[],[f338,f966]) ).

fof(f997,plain,
    ( spl0_152
    | spl0_74
    | ~ spl0_18
    | spl0_117 ),
    inference(avatar_split_clause,[],[f992,f740,f267,f522,f994]) ).

fof(f992,plain,
    ( c1_1(a324)
    | c2_1(a324)
    | ~ spl0_18
    | spl0_117 ),
    inference(resolution,[],[f742,f268]) ).

fof(f742,plain,
    ( ~ c3_1(a324)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f990,plain,
    ( spl0_48
    | ~ spl0_18
    | ~ spl0_19
    | spl0_143 ),
    inference(avatar_split_clause,[],[f982,f916,f270,f267,f397]) ).

fof(f982,plain,
    ( c1_1(a419)
    | ~ spl0_18
    | ~ spl0_19
    | spl0_143 ),
    inference(resolution,[],[f978,f918]) ).

fof(f918,plain,
    ( ~ c2_1(a419)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f978,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f977]) ).

fof(f977,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(resolution,[],[f271,f268]) ).

fof(f989,plain,
    ( spl0_43
    | ~ spl0_18
    | ~ spl0_19
    | spl0_99 ),
    inference(avatar_split_clause,[],[f986,f647,f270,f267,f375]) ).

fof(f986,plain,
    ( c1_1(a338)
    | ~ spl0_18
    | ~ spl0_19
    | spl0_99 ),
    inference(resolution,[],[f978,f649]) ).

fof(f975,plain,
    ( spl0_151
    | spl0_95
    | ~ spl0_18
    | spl0_84 ),
    inference(avatar_split_clause,[],[f970,f571,f267,f626,f972]) ).

fof(f571,plain,
    ( spl0_84
  <=> c3_1(a332) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f970,plain,
    ( c2_1(a332)
    | c1_1(a332)
    | ~ spl0_18
    | spl0_84 ),
    inference(resolution,[],[f268,f573]) ).

fof(f573,plain,
    ( ~ c3_1(a332)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f960,plain,
    ( spl0_115
    | ~ spl0_111
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f959,f900,f202,f706,f730]) ).

fof(f730,plain,
    ( spl0_115
  <=> c1_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f706,plain,
    ( spl0_111
  <=> c0_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f900,plain,
    ( spl0_141
  <=> c2_1(a326) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f959,plain,
    ( ~ c0_1(a326)
    | c1_1(a326)
    | ~ spl0_2
    | ~ spl0_141 ),
    inference(resolution,[],[f203,f902]) ).

fof(f902,plain,
    ( c2_1(a326)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f954,plain,
    ( spl0_149
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f52,f348,f951]) ).

fof(f348,plain,
    ( spl0_37
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f52,axiom,
    ( ~ hskp22
    | c3_1(a367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f939,plain,
    ( ~ spl0_53
    | spl0_146 ),
    inference(avatar_split_clause,[],[f78,f936,f423]) ).

fof(f423,plain,
    ( spl0_53
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f78,axiom,
    ( c1_1(a325)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f928,plain,
    ( ~ spl0_144
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f89,f315,f925]) ).

fof(f315,plain,
    ( spl0_29
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f89,axiom,
    ( ~ hskp21
    | ~ c2_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f923,plain,
    ( ~ spl0_20
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f205,f274]) ).

fof(f274,plain,
    ( spl0_20
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f205,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f922,plain,
    ( spl0_60
    | ~ spl0_3
    | spl0_118 ),
    inference(avatar_split_clause,[],[f137,f746,f205,f454]) ).

fof(f454,plain,
    ( spl0_60
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c1_1(X0)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f920,plain,
    ( ~ spl0_3
    | spl0_53
    | spl0_50
    | spl0_44 ),
    inference(avatar_split_clause,[],[f144,f380,f406,f423,f205]) ).

fof(f406,plain,
    ( spl0_50
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp10
      | hskp3
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f919,plain,
    ( ~ spl0_47
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f82,f916,f393]) ).

fof(f393,plain,
    ( spl0_47
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f82,axiom,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f911,plain,
    ( spl0_73
    | ~ spl0_3
    | spl0_71
    | spl0_105 ),
    inference(avatar_split_clause,[],[f189,f676,f509,f205,f518]) ).

fof(f189,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f903,plain,
    ( ~ spl0_45
    | spl0_141 ),
    inference(avatar_split_clause,[],[f76,f900,f383]) ).

fof(f383,plain,
    ( spl0_45
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f76,axiom,
    ( c2_1(a326)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f898,plain,
    ( spl0_140
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f80,f584,f895]) ).

fof(f584,plain,
    ( spl0_87
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f80,axiom,
    ( ~ hskp0
    | c3_1(a322) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f890,plain,
    ( spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f73,f198,f887]) ).

fof(f198,plain,
    ( spl0_1
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f73,axiom,
    ( ~ hskp5
    | c0_1(a327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f885,plain,
    ( spl0_110
    | spl0_7
    | ~ spl0_3
    | spl0_88 ),
    inference(avatar_split_clause,[],[f193,f589,f205,f222,f702]) ).

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

fof(f883,plain,
    ( spl0_11
    | spl0_71
    | spl0_100
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f171,f205,f652,f509,f236]) ).

fof(f236,plain,
    ( spl0_11
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | c2_1(X0)
      | hskp15
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f882,plain,
    ( spl0_87
    | ~ spl0_3
    | spl0_56
    | spl0_7 ),
    inference(avatar_split_clause,[],[f151,f222,f437,f205,f584]) ).

fof(f151,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f881,plain,
    ( ~ spl0_3
    | spl0_53
    | spl0_80
    | spl0_42 ),
    inference(avatar_split_clause,[],[f136,f371,f550,f423,f205]) ).

fof(f550,plain,
    ( spl0_80
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f136,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp8
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp3
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f880,plain,
    ( spl0_53
    | spl0_45
    | ~ spl0_3
    | spl0_56 ),
    inference(avatar_split_clause,[],[f126,f437,f205,f383,f423]) ).

fof(f126,axiom,
    ! [X0] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp4
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f878,plain,
    ( ~ spl0_138
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f112,f592,f875]) ).

fof(f592,plain,
    ( spl0_89
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f112,axiom,
    ( ~ hskp7
    | ~ c0_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f872,plain,
    ( spl0_80
    | ~ spl0_3
    | spl0_36
    | spl0_16 ),
    inference(avatar_split_clause,[],[f183,f259,f344,f205,f550]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | hskp8
      | ~ c0_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f870,plain,
    ( spl0_40
    | spl0_31
    | spl0_80 ),
    inference(avatar_split_clause,[],[f37,f550,f324,f363]) ).

fof(f363,plain,
    ( spl0_40
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f324,plain,
    ( spl0_31
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f37,axiom,
    ( hskp8
    | hskp24
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f869,plain,
    ( ~ spl0_137
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f123,f467,f866]) ).

fof(f467,plain,
    ( spl0_63
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f123,axiom,
    ( ~ hskp1
    | ~ c2_1(a323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f864,plain,
    ( spl0_136
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f79,f584,f861]) ).

fof(f79,axiom,
    ( ~ hskp0
    | c2_1(a322) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f859,plain,
    ( ~ spl0_47
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f205,f393]) ).

fof(f6,axiom,
    ( ndr1_0
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f855,plain,
    ( spl0_63
    | spl0_20
    | spl0_47 ),
    inference(avatar_split_clause,[],[f36,f393,f274,f467]) ).

fof(f36,axiom,
    ( hskp25
    | hskp11
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f854,plain,
    ( spl0_135
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f42,f217,f851]) ).

fof(f217,plain,
    ( spl0_6
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f42,axiom,
    ( ~ hskp27
    | c1_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f848,plain,
    ( spl0_6
    | ~ spl0_3
    | spl0_76
    | spl0_105 ),
    inference(avatar_split_clause,[],[f158,f676,f533,f205,f217]) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp27
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f846,plain,
    ( spl0_20
    | spl0_7
    | spl0_76
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f157,f205,f533,f222,f274]) ).

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

fof(f845,plain,
    ( ~ spl0_50
    | spl0_134 ),
    inference(avatar_split_clause,[],[f69,f842,f406]) ).

fof(f69,axiom,
    ( c0_1(a337)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f836,plain,
    ( ~ spl0_3
    | spl0_50
    | spl0_34
    | spl0_53 ),
    inference(avatar_split_clause,[],[f150,f423,f337,f406,f205]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp3
      | ~ c1_1(X0)
      | hskp10
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f835,plain,
    ( spl0_110
    | spl0_32
    | ~ spl0_3
    | spl0_76 ),
    inference(avatar_split_clause,[],[f169,f533,f205,f328,f702]) ).

fof(f328,plain,
    ( spl0_32
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ ndr1_0
      | c3_1(X1)
      | hskp26
      | c2_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f834,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_44
    | spl0_41 ),
    inference(avatar_split_clause,[],[f178,f367,f380,f383,f205]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | hskp4
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f833,plain,
    ( ~ spl0_17
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f101,f830,f263]) ).

fof(f263,plain,
    ( spl0_17
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f101,axiom,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f828,plain,
    ( ~ spl0_31
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f83,f825,f324]) ).

fof(f83,axiom,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f818,plain,
    ( ~ spl0_32
    | spl0_129 ),
    inference(avatar_split_clause,[],[f45,f815,f328]) ).

fof(f45,axiom,
    ( c0_1(a333)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f813,plain,
    ( ~ spl0_50
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f106,f810,f406]) ).

fof(f106,axiom,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f803,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_56
    | spl0_63 ),
    inference(avatar_split_clause,[],[f127,f467,f437,f205,f198]) ).

fof(f127,axiom,
    ! [X0] :
      ( hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp5
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f802,plain,
    ( spl0_60
    | spl0_105
    | ~ spl0_3
    | spl0_110 ),
    inference(avatar_split_clause,[],[f168,f702,f205,f676,f454]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X1)
      | hskp28
      | c2_1(X0)
      | ~ c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f799,plain,
    ( spl0_51
    | spl0_118
    | spl0_58
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f180,f205,f445,f746,f412]) ).

fof(f412,plain,
    ( spl0_51
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp14
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f796,plain,
    ( ~ spl0_17
    | spl0_126 ),
    inference(avatar_split_clause,[],[f68,f793,f263]) ).

fof(f68,axiom,
    ( c3_1(a345)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f783,plain,
    ( spl0_124
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f48,f393,f780]) ).

fof(f48,axiom,
    ( ~ hskp25
    | c0_1(a419) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f777,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_87
    | spl0_71 ),
    inference(avatar_split_clause,[],[f132,f509,f584,f255,f205]) ).

fof(f255,plain,
    ( spl0_15
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f132,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp0
      | hskp19
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f771,plain,
    ( ~ spl0_11
    | spl0_122 ),
    inference(avatar_split_clause,[],[f62,f768,f236]) ).

fof(f62,axiom,
    ( c0_1(a348)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f765,plain,
    ( ~ spl0_32
    | spl0_121 ),
    inference(avatar_split_clause,[],[f46,f762,f328]) ).

fof(f46,axiom,
    ( c1_1(a333)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f760,plain,
    ( spl0_23
    | spl0_51
    | ~ spl0_3
    | spl0_57 ),
    inference(avatar_split_clause,[],[f131,f442,f205,f412,f287]) ).

fof(f287,plain,
    ( spl0_23
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f131,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp14
      | c3_1(X0)
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f759,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f167,f225,f222,f383,f205]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | hskp4
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f758,plain,
    ( spl0_120
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f39,f454,f755]) ).

fof(f39,axiom,
    ( ~ hskp28
    | c0_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f753,plain,
    ( ~ spl0_80
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f109,f750,f550]) ).

fof(f109,axiom,
    ( ~ c0_1(a332)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f748,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_9
    | spl0_118 ),
    inference(avatar_split_clause,[],[f195,f746,f228,f270,f205]) ).

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

fof(f744,plain,
    ( spl0_110
    | ~ spl0_3
    | spl0_88
    | spl0_42 ),
    inference(avatar_split_clause,[],[f196,f371,f589,f205,f702]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c3_1(X2)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f743,plain,
    ( ~ spl0_33
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f121,f740,f332]) ).

fof(f332,plain,
    ( spl0_33
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f121,axiom,
    ( ~ c3_1(a324)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f738,plain,
    ( ~ spl0_116
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f118,f423,f735]) ).

fof(f118,axiom,
    ( ~ hskp3
    | ~ c2_1(a325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f733,plain,
    ( ~ spl0_115
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f117,f383,f730]) ).

fof(f117,axiom,
    ( ~ hskp4
    | ~ c1_1(a326) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f728,plain,
    ( ~ spl0_23
    | spl0_114 ),
    inference(avatar_split_clause,[],[f65,f725,f287]) ).

fof(f65,axiom,
    ( c0_1(a346)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f723,plain,
    ( spl0_4
    | spl0_15
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f174,f445,f205,f255,f209]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | hskp19
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f721,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_18
    | spl0_51 ),
    inference(avatar_split_clause,[],[f129,f412,f267,f205,f198]) ).

fof(f129,axiom,
    ! [X0] :
      ( hskp14
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f720,plain,
    ( spl0_113
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f43,f217,f717]) ).

fof(f43,axiom,
    ( ~ hskp27
    | c2_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f710,plain,
    ( spl0_11
    | ~ spl0_3
    | spl0_73 ),
    inference(avatar_split_clause,[],[f134,f518,f205,f236]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f709,plain,
    ( ~ spl0_45
    | spl0_111 ),
    inference(avatar_split_clause,[],[f75,f706,f383]) ).

fof(f75,axiom,
    ( c0_1(a326)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f704,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_19
    | spl0_110 ),
    inference(avatar_split_clause,[],[f172,f702,f270,f332,f205]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | hskp2
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f699,plain,
    ( ~ spl0_109
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f113,f592,f696]) ).

fof(f113,axiom,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f694,plain,
    ( spl0_31
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2,f592,f324]) ).

fof(f2,axiom,
    ( hskp7
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f693,plain,
    ( ~ spl0_108
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f99,f412,f690]) ).

fof(f99,axiom,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f688,plain,
    ( spl0_107
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f67,f263,f685]) ).

fof(f67,axiom,
    ( ~ hskp12
    | c0_1(a345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f683,plain,
    ( ~ spl0_89
    | spl0_106 ),
    inference(avatar_split_clause,[],[f71,f680,f592]) ).

fof(f71,axiom,
    ( c3_1(a330)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f678,plain,
    ( spl0_63
    | ~ spl0_3
    | spl0_56
    | spl0_105 ),
    inference(avatar_split_clause,[],[f152,f676,f437,f205,f467]) ).

fof(f152,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f674,plain,
    ( spl0_104
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f64,f412,f671]) ).

fof(f64,axiom,
    ( ~ hskp14
    | c3_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f669,plain,
    ( spl0_103
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f49,f324,f666]) ).

fof(f49,axiom,
    ( ~ hskp24
    | c1_1(a401) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f664,plain,
    ( spl0_102
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f63,f412,f661]) ).

fof(f63,axiom,
    ( ~ hskp14
    | c2_1(a347) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f659,plain,
    ( ~ spl0_101
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f124,f467,f656]) ).

fof(f124,axiom,
    ( ~ hskp1
    | ~ c3_1(a323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f650,plain,
    ( ~ spl0_99
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f104,f274,f647]) ).

fof(f104,axiom,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f645,plain,
    ( ~ spl0_32
    | spl0_98 ),
    inference(avatar_split_clause,[],[f47,f642,f328]) ).

fof(f47,axiom,
    ( c3_1(a333)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f640,plain,
    ( spl0_97
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f58,f363,f637]) ).

fof(f58,axiom,
    ( ~ hskp17
    | c1_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f629,plain,
    ( ~ spl0_80
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f110,f626,f550]) ).

fof(f110,axiom,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f624,plain,
    ( ~ spl0_15
    | spl0_94 ),
    inference(avatar_split_clause,[],[f55,f621,f255]) ).

fof(f55,axiom,
    ( c1_1(a355)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f619,plain,
    ( spl0_50
    | spl0_34
    | ~ spl0_3
    | spl0_93 ),
    inference(avatar_split_clause,[],[f187,f617,f205,f337,f406]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f614,plain,
    ( spl0_92
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f56,f255,f611]) ).

fof(f56,axiom,
    ( ~ hskp19
    | c2_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f607,plain,
    ( ~ spl0_63
    | spl0_3 ),
    inference(avatar_split_clause,[],[f30,f205,f467]) ).

fof(f30,axiom,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f601,plain,
    ( ~ spl0_3
    | spl0_41
    | spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f140,f255,f274,f367,f205]) ).

fof(f140,axiom,
    ! [X0] :
      ( hskp19
      | hskp11
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f587,plain,
    ( ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f125,f584,f580]) ).

fof(f125,axiom,
    ( ~ hskp0
    | ~ c0_1(a322) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f578,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_37
    | spl0_85 ),
    inference(avatar_split_clause,[],[f162,f576,f348,f371,f205]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c0_1(X1)
      | hskp22
      | c3_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f574,plain,
    ( ~ spl0_80
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f111,f571,f550]) ).

fof(f111,axiom,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f569,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_16
    | spl0_29 ),
    inference(avatar_split_clause,[],[f161,f315,f259,f267,f205]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( hskp21
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f568,plain,
    ( ~ spl0_83
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f88,f315,f565]) ).

fof(f88,axiom,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f538,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_76
    | spl0_77 ),
    inference(avatar_split_clause,[],[f190,f536,f533,f202,f205]) ).

fof(f190,axiom,
    ! [X2,X0,X1] :
      ( c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c3_1(X2)
      | ~ c1_1(X2)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f531,plain,
    ( spl0_75
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f74,f198,f528]) ).

fof(f74,axiom,
    ( ~ hskp5
    | c1_1(a327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f525,plain,
    ( ~ spl0_33
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f120,f522,f332]) ).

fof(f120,axiom,
    ( ~ c1_1(a324)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f520,plain,
    ( spl0_1
    | spl0_73
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f166,f222,f205,f518,f198]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp5
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f516,plain,
    ( spl0_72
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f40,f454,f513]) ).

fof(f40,axiom,
    ( ~ hskp28
    | c1_1(a343) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f511,plain,
    ( spl0_32
    | spl0_70
    | ~ spl0_3
    | spl0_71 ),
    inference(avatar_split_clause,[],[f155,f509,f205,f506,f328]) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c0_1(X0)
      | hskp26
      | ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f503,plain,
    ( spl0_69
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f66,f287,f500]) ).

fof(f66,axiom,
    ( ~ hskp13
    | c2_1(a346) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f498,plain,
    ( ~ spl0_31
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f84,f495,f324]) ).

fof(f84,axiom,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f493,plain,
    ( ~ spl0_1
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f116,f490,f198]) ).

fof(f116,axiom,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f487,plain,
    ( ~ spl0_66
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f95,f363,f484]) ).

fof(f95,axiom,
    ( ~ hskp17
    | ~ c0_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f471,plain,
    ( spl0_23
    | spl0_17
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f143,f344,f205,f263,f287]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | hskp12
      | hskp13
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f470,plain,
    ( ~ spl0_62
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f122,f467,f463]) ).

fof(f122,axiom,
    ( ~ hskp1
    | ~ c1_1(a323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f461,plain,
    ( ~ spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f41,f458,f454]) ).

fof(f41,axiom,
    ( c2_1(a343)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f452,plain,
    ( ~ spl0_59
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f92,f255,f449]) ).

fof(f92,axiom,
    ( ~ hskp19
    | ~ c3_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f435,plain,
    ( ~ spl0_37
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f87,f432,f348]) ).

fof(f87,axiom,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f430,plain,
    ( ~ spl0_53
    | spl0_54 ),
    inference(avatar_split_clause,[],[f77,f427,f423]) ).

fof(f77,axiom,
    ( c0_1(a325)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f420,plain,
    ( spl0_52
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f59,f363,f417]) ).

fof(f59,axiom,
    ( ~ hskp17
    | c2_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f415,plain,
    ( spl0_40
    | spl0_51
    | spl0_17 ),
    inference(avatar_split_clause,[],[f35,f263,f412,f363]) ).

fof(f35,axiom,
    ( hskp12
    | hskp14
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f409,plain,
    ( ~ spl0_49
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f105,f406,f402]) ).

fof(f105,axiom,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f400,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f81,f397,f393]) ).

fof(f81,axiom,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f391,plain,
    ( ~ spl0_11
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f97,f388,f236]) ).

fof(f97,axiom,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f378,plain,
    ( ~ spl0_20
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f103,f375,f274]) ).

fof(f103,axiom,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f373,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_42
    | spl0_2 ),
    inference(avatar_split_clause,[],[f188,f202,f371,f222,f205]) ).

fof(f188,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f355,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f86,f352,f348]) ).

fof(f86,axiom,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f322,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f53,f319,f315]) ).

fof(f53,axiom,
    ( c3_1(a359)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f290,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f100,f287,f283]) ).

fof(f100,axiom,
    ( ~ hskp13
    | ~ c3_1(a346) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f281,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f102,f278,f274]) ).

fof(f102,axiom,
    ( ~ c0_1(a338)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f272,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f154,f270,f205,f267,f263]) ).

fof(f154,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp12
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f261,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f179,f259,f202,f255,f205]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f239,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f98,f236,f232]) ).

fof(f98,axiom,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f230,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f194,f228,f225,f222,f205]) ).

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

fof(f220,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f44,f217,f213]) ).

fof(f44,axiom,
    ( ~ hskp27
    | c3_1(a341) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f211,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f173,f209,f205,f202,f198]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | hskp5
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN506-1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:16:46 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.53  % (31051)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)
% 0.19/0.53  % (31059)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)
% 0.19/0.58  % (31042)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)
% 0.19/0.58  % (31043)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)
% 0.19/0.58  % (31051)First to succeed.
% 0.19/0.59  % (31045)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)
% 0.19/0.59  % (31040)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)
% 0.19/0.59  % (31044)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.59  % (31046)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)
% 0.19/0.60  Detected maximum model sizes of [29]
% 0.19/0.60  % (31065)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.60  TRYING [1]
% 0.19/0.60  % (31063)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)
% 0.19/0.60  % (31041)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)
% 0.19/0.60  % (31051)Refutation found. Thanks to Tanya!
% 0.19/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.60  % (31051)------------------------------
% 0.19/0.60  % (31051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (31051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (31051)Termination reason: Refutation
% 0.19/0.60  
% 0.19/0.60  % (31051)Memory used [KB]: 6652
% 0.19/0.60  % (31051)Time elapsed: 0.150 s
% 0.19/0.60  % (31051)Instructions burned: 34 (million)
% 0.19/0.60  % (31051)------------------------------
% 0.19/0.60  % (31051)------------------------------
% 0.19/0.60  % (31039)Success in time 0.247 s
%------------------------------------------------------------------------------