TSTP Solution File: SYN479-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN479-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 18:03:49 EDT 2024

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  301
% Syntax   : Number of formulae    :  879 (   1 unt;   0 def)
%            Number of atoms       : 2979 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3704 (1604   ~;1942   |;   0   &)
%                                         ( 158 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  193 ( 192 usr; 189 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  180 ( 180   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3731,plain,
    $false,
    inference(avatar_sat_refutation,[],[f294,f299,f304,f309,f314,f319,f329,f334,f339,f344,f349,f354,f359,f364,f369,f374,f379,f384,f389,f394,f399,f404,f409,f414,f419,f424,f429,f434,f439,f444,f449,f454,f459,f464,f469,f474,f479,f484,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f579,f589,f594,f599,f604,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f679,f689,f694,f699,f704,f709,f714,f719,f724,f729,f734,f739,f744,f754,f759,f764,f774,f779,f784,f789,f794,f799,f804,f814,f819,f824,f825,f827,f828,f830,f831,f832,f833,f837,f845,f846,f854,f866,f870,f874,f883,f888,f892,f896,f900,f904,f916,f917,f921,f925,f929,f934,f936,f937,f941,f942,f947,f951,f955,f956,f957,f958,f959,f960,f961,f962,f963,f976,f978,f979,f980,f985,f987,f988,f990,f991,f992,f993,f994,f996,f1017,f1037,f1043,f1055,f1126,f1138,f1148,f1178,f1200,f1206,f1220,f1226,f1335,f1448,f1465,f1487,f1494,f1511,f1534,f1573,f1600,f1618,f1695,f1747,f1760,f1769,f1806,f1863,f1869,f1889,f1923,f2003,f2010,f2078,f2084,f2106,f2112,f2135,f2138,f2144,f2172,f2262,f2263,f2282,f2364,f2531,f2573,f2593,f2595,f2652,f2684,f2703,f2742,f2747,f2805,f2816,f2825,f2835,f2854,f2856,f2874,f2891,f3001,f3005,f3027,f3056,f3080,f3081,f3095,f3114,f3273,f3341,f3415,f3417,f3420,f3423,f3447,f3449,f3478,f3486,f3487,f3511,f3528,f3530,f3572,f3595,f3599,f3635,f3643,f3661,f3663,f3693,f3720,f3724,f3730]) ).

fof(f3730,plain,
    ( spl0_23
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153
    | spl0_175 ),
    inference(avatar_contradiction_clause,[],[f3729]) ).

fof(f3729,plain,
    ( $false
    | spl0_23
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153
    | spl0_175 ),
    inference(subsumption_resolution,[],[f3728,f313]) ).

fof(f313,plain,
    ( ~ c1_1(a1466)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl0_23
  <=> c1_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f3728,plain,
    ( c1_1(a1466)
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153
    | spl0_175 ),
    inference(resolution,[],[f2189,f3566]) ).

fof(f3566,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f954,f3489]) ).

fof(f3489,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f950,f873]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f950,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_152
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f954,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f953,plain,
    ( spl0_153
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2189,plain,
    ( ~ c3_1(a1466)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f2187]) ).

fof(f2187,plain,
    ( spl0_175
  <=> c3_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f3724,plain,
    ( spl0_73
    | ~ spl0_79
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3723]) ).

fof(f3723,plain,
    ( $false
    | spl0_73
    | ~ spl0_79
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3712,f563]) ).

fof(f563,plain,
    ( ~ c2_1(a1430)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl0_73
  <=> c2_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3712,plain,
    ( c2_1(a1430)
    | ~ spl0_79
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(resolution,[],[f3697,f593]) ).

fof(f593,plain,
    ( c3_1(a1430)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f591,plain,
    ( spl0_79
  <=> c3_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f3697,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f975,f873]) ).

fof(f975,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f974,plain,
    ( spl0_156
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3720,plain,
    ( spl0_118
    | ~ spl0_120
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3719]) ).

fof(f3719,plain,
    ( $false
    | spl0_118
    | ~ spl0_120
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3708,f788]) ).

fof(f788,plain,
    ( ~ c2_1(a1448)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl0_118
  <=> c2_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3708,plain,
    ( c2_1(a1448)
    | ~ spl0_120
    | ~ spl0_135
    | ~ spl0_156 ),
    inference(resolution,[],[f3697,f798]) ).

fof(f798,plain,
    ( c3_1(a1448)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl0_120
  <=> c3_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3693,plain,
    ( spl0_159
    | spl0_88
    | ~ spl0_92
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3685,f945,f656,f636,f1202]) ).

fof(f1202,plain,
    ( spl0_159
  <=> c0_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f636,plain,
    ( spl0_88
  <=> c3_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f656,plain,
    ( spl0_92
  <=> c2_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f945,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f3685,plain,
    ( c0_1(a1449)
    | spl0_88
    | ~ spl0_92
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f3673,f658]) ).

fof(f658,plain,
    ( c2_1(a1449)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f3673,plain,
    ( ~ c2_1(a1449)
    | c0_1(a1449)
    | spl0_88
    | ~ spl0_151 ),
    inference(resolution,[],[f946,f638]) ).

fof(f638,plain,
    ( ~ c3_1(a1449)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f946,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f3663,plain,
    ( ~ spl0_167
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3662,f864,f466,f451,f1766]) ).

fof(f1766,plain,
    ( spl0_167
  <=> c1_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f451,plain,
    ( spl0_51
  <=> c3_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f466,plain,
    ( spl0_54
  <=> c2_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f864,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f3662,plain,
    ( ~ c1_1(a1428)
    | ~ spl0_51
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f3648,f453]) ).

fof(f453,plain,
    ( c3_1(a1428)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f3648,plain,
    ( ~ c1_1(a1428)
    | ~ c3_1(a1428)
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(resolution,[],[f865,f468]) ).

fof(f468,plain,
    ( c2_1(a1428)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f865,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f3661,plain,
    ( ~ spl0_169
    | ~ spl0_41
    | ~ spl0_57
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3660,f864,f481,f401,f1865]) ).

fof(f1865,plain,
    ( spl0_169
  <=> c3_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f401,plain,
    ( spl0_41
  <=> c1_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f481,plain,
    ( spl0_57
  <=> c2_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3660,plain,
    ( ~ c3_1(a1507)
    | ~ spl0_41
    | ~ spl0_57
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f3646,f403]) ).

fof(f403,plain,
    ( c1_1(a1507)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f3646,plain,
    ( ~ c1_1(a1507)
    | ~ c3_1(a1507)
    | ~ spl0_57
    | ~ spl0_133 ),
    inference(resolution,[],[f865,f483]) ).

fof(f483,plain,
    ( c2_1(a1507)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f3643,plain,
    ( ~ spl0_36
    | ~ spl0_54
    | ~ spl0_51
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3547,f927,f451,f466,f376]) ).

fof(f376,plain,
    ( spl0_36
  <=> c0_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f927,plain,
    ( spl0_148
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3547,plain,
    ( ~ c2_1(a1428)
    | ~ c0_1(a1428)
    | ~ spl0_51
    | ~ spl0_148 ),
    inference(resolution,[],[f928,f453]) ).

fof(f928,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f3635,plain,
    ( ~ spl0_40
    | ~ spl0_57
    | ~ spl0_141
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3634]) ).

fof(f3634,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_57
    | ~ spl0_141
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3621,f398]) ).

fof(f398,plain,
    ( c0_1(a1507)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl0_40
  <=> c0_1(a1507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f3621,plain,
    ( ~ c0_1(a1507)
    | ~ spl0_57
    | ~ spl0_141
    | ~ spl0_148 ),
    inference(resolution,[],[f3601,f483]) ).

fof(f3601,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_141
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f899,f928]) ).

fof(f899,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3599,plain,
    ( spl0_69
    | spl0_71
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3598]) ).

fof(f3598,plain,
    ( $false
    | spl0_69
    | spl0_71
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3587,f543]) ).

fof(f543,plain,
    ( ~ c1_1(a1460)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl0_69
  <=> c1_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3587,plain,
    ( c1_1(a1460)
    | spl0_71
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(resolution,[],[f3566,f553]) ).

fof(f553,plain,
    ( ~ c3_1(a1460)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl0_71
  <=> c3_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3595,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3594]) ).

fof(f3594,plain,
    ( $false
    | spl0_86
    | spl0_87
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3582,f628]) ).

fof(f628,plain,
    ( ~ c1_1(a1451)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f626,plain,
    ( spl0_86
  <=> c1_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3582,plain,
    ( c1_1(a1451)
    | spl0_87
    | ~ spl0_135
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(resolution,[],[f3566,f633]) ).

fof(f633,plain,
    ( ~ c3_1(a1451)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f631,plain,
    ( spl0_87
  <=> c3_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f3572,plain,
    ( ~ spl0_37
    | ~ spl0_53
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f3571]) ).

fof(f3571,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_53
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f3570,f383]) ).

fof(f383,plain,
    ( c0_1(a1466)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f381,plain,
    ( spl0_37
  <=> c0_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3570,plain,
    ( ~ c0_1(a1466)
    | ~ spl0_53
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f3567,f463]) ).

fof(f463,plain,
    ( c2_1(a1466)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f461,plain,
    ( spl0_53
  <=> c2_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3567,plain,
    ( ~ c2_1(a1466)
    | ~ c0_1(a1466)
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(resolution,[],[f2188,f928]) ).

fof(f2188,plain,
    ( c3_1(a1466)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f2187]) ).

fof(f3530,plain,
    ( spl0_99
    | spl0_104
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3529]) ).

fof(f3529,plain,
    ( $false
    | spl0_99
    | spl0_104
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3524,f693]) ).

fof(f693,plain,
    ( ~ c0_1(a1457)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f691,plain,
    ( spl0_99
  <=> c0_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f3524,plain,
    ( c0_1(a1457)
    | spl0_104
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(resolution,[],[f3512,f718]) ).

fof(f718,plain,
    ( ~ c2_1(a1457)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_104
  <=> c2_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f3512,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f895,f903]) ).

fof(f903,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f902,plain,
    ( spl0_142
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f895,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3528,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f3527]) ).

fof(f3527,plain,
    ( $false
    | spl0_111
    | spl0_112
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3522,f753]) ).

fof(f753,plain,
    ( ~ c0_1(a1431)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl0_111
  <=> c0_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3522,plain,
    ( c0_1(a1431)
    | spl0_112
    | ~ spl0_140
    | ~ spl0_142 ),
    inference(resolution,[],[f3512,f758]) ).

fof(f758,plain,
    ( ~ c2_1(a1431)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f756,plain,
    ( spl0_112
  <=> c2_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3511,plain,
    ( spl0_68
    | spl0_72
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3506,f949,f872,f556,f536]) ).

fof(f536,plain,
    ( spl0_68
  <=> c1_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f556,plain,
    ( spl0_72
  <=> c2_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f3506,plain,
    ( c1_1(a1444)
    | spl0_72
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(resolution,[],[f3489,f558]) ).

fof(f558,plain,
    ( ~ c2_1(a1444)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f3487,plain,
    ( spl0_132
    | ~ spl0_135
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3441,f902,f872,f860]) ).

fof(f860,plain,
    ( spl0_132
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3441,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_142 ),
    inference(duplicate_literal_removal,[],[f3425]) ).

fof(f3425,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_142 ),
    inference(resolution,[],[f903,f873]) ).

fof(f3486,plain,
    ( ~ spl0_78
    | ~ spl0_158
    | ~ spl0_80
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f3452,f864,f596,f1074,f586]) ).

fof(f586,plain,
    ( spl0_78
  <=> c3_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1074,plain,
    ( spl0_158
  <=> c1_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f596,plain,
    ( spl0_80
  <=> c2_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f3452,plain,
    ( ~ c1_1(a1429)
    | ~ c3_1(a1429)
    | ~ spl0_80
    | ~ spl0_133 ),
    inference(resolution,[],[f598,f865]) ).

fof(f598,plain,
    ( c2_1(a1429)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f3478,plain,
    ( spl0_23
    | ~ spl0_37
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3477]) ).

fof(f3477,plain,
    ( $false
    | spl0_23
    | ~ spl0_37
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3476,f383]) ).

fof(f3476,plain,
    ( ~ c0_1(a1466)
    | spl0_23
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3460,f313]) ).

fof(f3460,plain,
    ( c1_1(a1466)
    | ~ c0_1(a1466)
    | ~ spl0_53
    | ~ spl0_143 ),
    inference(resolution,[],[f907,f463]) ).

fof(f907,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f906,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3449,plain,
    ( spl0_171
    | spl0_70
    | spl0_72
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3448,f902,f556,f546,f1965]) ).

fof(f1965,plain,
    ( spl0_171
  <=> c0_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f546,plain,
    ( spl0_70
  <=> c3_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3448,plain,
    ( c0_1(a1444)
    | spl0_70
    | spl0_72
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3440,f558]) ).

fof(f3440,plain,
    ( c2_1(a1444)
    | c0_1(a1444)
    | spl0_70
    | ~ spl0_142 ),
    inference(resolution,[],[f903,f548]) ).

fof(f548,plain,
    ( ~ c3_1(a1444)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f3447,plain,
    ( spl0_172
    | spl0_67
    | spl0_71
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3446,f902,f551,f531,f2014]) ).

fof(f2014,plain,
    ( spl0_172
  <=> c2_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f531,plain,
    ( spl0_67
  <=> c0_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3446,plain,
    ( c2_1(a1460)
    | spl0_67
    | spl0_71
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f3438,f533]) ).

fof(f533,plain,
    ( ~ c0_1(a1460)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f3438,plain,
    ( c2_1(a1460)
    | c0_1(a1460)
    | spl0_71
    | ~ spl0_142 ),
    inference(resolution,[],[f903,f553]) ).

fof(f3423,plain,
    ( spl0_170
    | spl0_118
    | ~ spl0_120
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3422,f872,f796,f786,f1925]) ).

fof(f1925,plain,
    ( spl0_170
  <=> c1_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f3422,plain,
    ( c1_1(a1448)
    | spl0_118
    | ~ spl0_120
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f3421,f788]) ).

fof(f3421,plain,
    ( c2_1(a1448)
    | c1_1(a1448)
    | ~ spl0_120
    | ~ spl0_135 ),
    inference(resolution,[],[f798,f873]) ).

fof(f3420,plain,
    ( spl0_29
    | ~ spl0_34
    | ~ spl0_141
    | ~ spl0_176 ),
    inference(avatar_contradiction_clause,[],[f3419]) ).

fof(f3419,plain,
    ( $false
    | spl0_29
    | ~ spl0_34
    | ~ spl0_141
    | ~ spl0_176 ),
    inference(subsumption_resolution,[],[f3418,f2330]) ).

fof(f2330,plain,
    ( c2_1(a1445)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f2328]) ).

fof(f2328,plain,
    ( spl0_176
  <=> c2_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f3418,plain,
    ( ~ c2_1(a1445)
    | spl0_29
    | ~ spl0_34
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f3399,f368]) ).

fof(f368,plain,
    ( c0_1(a1445)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl0_34
  <=> c0_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3399,plain,
    ( ~ c0_1(a1445)
    | ~ c2_1(a1445)
    | spl0_29
    | ~ spl0_141 ),
    inference(resolution,[],[f899,f343]) ).

fof(f343,plain,
    ( ~ c3_1(a1445)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl0_29
  <=> c3_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f3417,plain,
    ( ~ spl0_159
    | spl0_88
    | ~ spl0_92
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3416,f898,f656,f636,f1202]) ).

fof(f3416,plain,
    ( ~ c0_1(a1449)
    | spl0_88
    | ~ spl0_92
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f3397,f658]) ).

fof(f3397,plain,
    ( ~ c0_1(a1449)
    | ~ c2_1(a1449)
    | spl0_88
    | ~ spl0_141 ),
    inference(resolution,[],[f899,f638]) ).

fof(f3415,plain,
    ( spl0_87
    | ~ spl0_93
    | ~ spl0_141
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f3414]) ).

fof(f3414,plain,
    ( $false
    | spl0_87
    | ~ spl0_93
    | ~ spl0_141
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f3413,f663]) ).

fof(f663,plain,
    ( c2_1(a1451)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl0_93
  <=> c2_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3413,plain,
    ( ~ c2_1(a1451)
    | spl0_87
    | ~ spl0_141
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f3396,f1599]) ).

fof(f1599,plain,
    ( c0_1(a1451)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1597,plain,
    ( spl0_164
  <=> c0_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f3396,plain,
    ( ~ c0_1(a1451)
    | ~ c2_1(a1451)
    | spl0_87
    | ~ spl0_141 ),
    inference(resolution,[],[f899,f633]) ).

fof(f3341,plain,
    ( spl0_64
    | ~ spl0_79
    | ~ spl0_136
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f3340,f2394,f876,f591,f516]) ).

fof(f516,plain,
    ( spl0_64
  <=> c0_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f876,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2394,plain,
    ( spl0_177
  <=> c1_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f3340,plain,
    ( c0_1(a1430)
    | ~ spl0_79
    | ~ spl0_136
    | ~ spl0_177 ),
    inference(subsumption_resolution,[],[f3328,f593]) ).

fof(f3328,plain,
    ( c0_1(a1430)
    | ~ c3_1(a1430)
    | ~ spl0_136
    | ~ spl0_177 ),
    inference(resolution,[],[f877,f2396]) ).

fof(f2396,plain,
    ( c1_1(a1430)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f2394]) ).

fof(f877,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f3273,plain,
    ( ~ spl0_89
    | ~ spl0_92
    | ~ spl0_126
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f3272]) ).

fof(f3272,plain,
    ( $false
    | ~ spl0_89
    | ~ spl0_92
    | ~ spl0_126
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f3271,f1204]) ).

fof(f1204,plain,
    ( c0_1(a1449)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f3271,plain,
    ( ~ c0_1(a1449)
    | ~ spl0_89
    | ~ spl0_92
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f3262,f658]) ).

fof(f3262,plain,
    ( ~ c2_1(a1449)
    | ~ c0_1(a1449)
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(resolution,[],[f836,f643]) ).

fof(f643,plain,
    ( c1_1(a1449)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f641,plain,
    ( spl0_89
  <=> c1_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f836,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f835,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3114,plain,
    ( spl0_101
    | ~ spl0_107
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f3113]) ).

fof(f3113,plain,
    ( $false
    | spl0_101
    | ~ spl0_107
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3104,f733]) ).

fof(f733,plain,
    ( c0_1(a1441)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f731,plain,
    ( spl0_107
  <=> c0_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f3104,plain,
    ( ~ c0_1(a1441)
    | spl0_101
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(resolution,[],[f3082,f703]) ).

fof(f703,plain,
    ( ~ c1_1(a1441)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f701,plain,
    ( spl0_101
  <=> c1_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f3082,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f907,f915]) ).

fof(f915,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_145
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3095,plain,
    ( spl0_174
    | spl0_106
    | ~ spl0_108
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3094,f914,f736,f726,f2179]) ).

fof(f2179,plain,
    ( spl0_174
  <=> c1_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f726,plain,
    ( spl0_106
  <=> c2_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f736,plain,
    ( spl0_108
  <=> c0_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f3094,plain,
    ( c1_1(a1435)
    | spl0_106
    | ~ spl0_108
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3093,f728]) ).

fof(f728,plain,
    ( ~ c2_1(a1435)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f3093,plain,
    ( c2_1(a1435)
    | c1_1(a1435)
    | ~ spl0_108
    | ~ spl0_145 ),
    inference(resolution,[],[f738,f915]) ).

fof(f738,plain,
    ( c0_1(a1435)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f3081,plain,
    ( spl0_170
    | spl0_118
    | ~ spl0_119
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3037,f914,f791,f786,f1925]) ).

fof(f791,plain,
    ( spl0_119
  <=> c0_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3037,plain,
    ( c2_1(a1448)
    | c1_1(a1448)
    | ~ spl0_119
    | ~ spl0_145 ),
    inference(resolution,[],[f915,f793]) ).

fof(f793,plain,
    ( c0_1(a1448)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f3080,plain,
    ( spl0_101
    | ~ spl0_107
    | ~ spl0_109
    | ~ spl0_129
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f3079]) ).

fof(f3079,plain,
    ( $false
    | spl0_101
    | ~ spl0_107
    | ~ spl0_109
    | ~ spl0_129
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f3076,f2912]) ).

fof(f2912,plain,
    ( ~ c2_1(a1441)
    | spl0_101
    | ~ spl0_109
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2903,f703]) ).

fof(f2903,plain,
    ( c1_1(a1441)
    | ~ c2_1(a1441)
    | ~ spl0_109
    | ~ spl0_129 ),
    inference(resolution,[],[f849,f743]) ).

fof(f743,plain,
    ( c3_1(a1441)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f741,plain,
    ( spl0_109
  <=> c3_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f849,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f3076,plain,
    ( c2_1(a1441)
    | ~ spl0_107
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(resolution,[],[f3064,f733]) ).

fof(f3064,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f920,f915]) ).

fof(f920,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f3056,plain,
    ( spl0_116
    | spl0_117
    | ~ spl0_121
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2942,f856,f801,f781,f776]) ).

fof(f776,plain,
    ( spl0_116
  <=> c0_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f781,plain,
    ( spl0_117
  <=> c1_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f801,plain,
    ( spl0_121
  <=> c3_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f856,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2942,plain,
    ( c1_1(a1438)
    | c0_1(a1438)
    | ~ spl0_121
    | ~ spl0_131 ),
    inference(resolution,[],[f857,f803]) ).

fof(f803,plain,
    ( c3_1(a1438)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f857,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f3027,plain,
    ( spl0_159
    | ~ spl0_92
    | ~ spl0_130
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3020,f885,f852,f656,f1202]) ).

fof(f852,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f885,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3020,plain,
    ( c0_1(a1449)
    | ~ spl0_92
    | ~ spl0_130
    | ~ spl0_138 ),
    inference(resolution,[],[f3010,f658]) ).

fof(f3010,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_130
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f886,f853]) ).

fof(f853,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f886,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f3005,plain,
    ( ~ spl0_170
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3002,f881,f796,f791,f1925]) ).

fof(f881,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3002,plain,
    ( ~ c1_1(a1448)
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2994,f793]) ).

fof(f2994,plain,
    ( ~ c0_1(a1448)
    | ~ c1_1(a1448)
    | ~ spl0_120
    | ~ spl0_137 ),
    inference(resolution,[],[f882,f798]) ).

fof(f882,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f3001,plain,
    ( spl0_146
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3000,f881,f839,f919]) ).

fof(f839,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3000,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(duplicate_literal_removal,[],[f2989]) ).

fof(f2989,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127
    | ~ spl0_137 ),
    inference(resolution,[],[f882,f840]) ).

fof(f840,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f2891,plain,
    ( spl0_176
    | spl0_29
    | ~ spl0_34
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2890,f839,f366,f341,f2328]) ).

fof(f2890,plain,
    ( c2_1(a1445)
    | spl0_29
    | ~ spl0_34
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2883,f368]) ).

fof(f2883,plain,
    ( c2_1(a1445)
    | ~ c0_1(a1445)
    | spl0_29
    | ~ spl0_127 ),
    inference(resolution,[],[f840,f343]) ).

fof(f2874,plain,
    ( spl0_100
    | spl0_104
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2873]) ).

fof(f2873,plain,
    ( $false
    | spl0_100
    | spl0_104
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2867,f698]) ).

fof(f698,plain,
    ( ~ c1_1(a1457)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f696,plain,
    ( spl0_100
  <=> c1_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2867,plain,
    ( c1_1(a1457)
    | spl0_104
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(resolution,[],[f2857,f718]) ).

fof(f2857,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f950,f873]) ).

fof(f2856,plain,
    ( spl0_102
    | spl0_105
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2855]) ).

fof(f2855,plain,
    ( $false
    | spl0_102
    | spl0_105
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2849,f723]) ).

fof(f723,plain,
    ( ~ c2_1(a1447)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f721,plain,
    ( spl0_105
  <=> c2_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2849,plain,
    ( c2_1(a1447)
    | spl0_102
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(resolution,[],[f2810,f708]) ).

fof(f708,plain,
    ( ~ c3_1(a1447)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f706,plain,
    ( spl0_102
  <=> c3_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2810,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f950,f911]) ).

fof(f911,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2854,plain,
    ( spl0_172
    | spl0_71
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2848,f949,f910,f551,f2014]) ).

fof(f2848,plain,
    ( c2_1(a1460)
    | spl0_71
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(resolution,[],[f2810,f553]) ).

fof(f2835,plain,
    ( ~ spl0_174
    | ~ spl0_108
    | spl0_106
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2771,f919,f726,f736,f2179]) ).

fof(f2771,plain,
    ( ~ c0_1(a1435)
    | ~ c1_1(a1435)
    | spl0_106
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f728]) ).

fof(f2825,plain,
    ( ~ spl0_35
    | ~ spl0_46
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2824]) ).

fof(f2824,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_46
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2823,f428]) ).

fof(f428,plain,
    ( c1_1(a1456)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl0_46
  <=> c1_1(a1456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2823,plain,
    ( ~ c1_1(a1456)
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2820,f373]) ).

fof(f373,plain,
    ( c0_1(a1456)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_35
  <=> c0_1(a1456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2820,plain,
    ( ~ c0_1(a1456)
    | ~ c1_1(a1456)
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(resolution,[],[f438,f882]) ).

fof(f438,plain,
    ( c3_1(a1456)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f436,plain,
    ( spl0_48
  <=> c3_1(a1456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2816,plain,
    ( spl0_31
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2815]) ).

fof(f2815,plain,
    ( $false
    | spl0_31
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2814,f413]) ).

fof(f413,plain,
    ( c1_1(a1458)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_43
  <=> c1_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2814,plain,
    ( ~ c1_1(a1458)
    | spl0_31
    | ~ spl0_38
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2813,f388]) ).

fof(f388,plain,
    ( c0_1(a1458)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl0_38
  <=> c0_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2813,plain,
    ( ~ c0_1(a1458)
    | ~ c1_1(a1458)
    | spl0_31
    | ~ spl0_146 ),
    inference(resolution,[],[f353,f920]) ).

fof(f353,plain,
    ( ~ c2_1(a1458)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl0_31
  <=> c2_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2805,plain,
    ( ~ spl0_107
    | ~ spl0_109
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2804]) ).

fof(f2804,plain,
    ( $false
    | ~ spl0_107
    | ~ spl0_109
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2799,f733]) ).

fof(f2799,plain,
    ( ~ c0_1(a1441)
    | ~ spl0_109
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(resolution,[],[f2794,f743]) ).

fof(f2794,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f928,f891]) ).

fof(f891,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2747,plain,
    ( ~ spl0_174
    | spl0_103
    | spl0_106
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2746,f910,f726,f711,f2179]) ).

fof(f711,plain,
    ( spl0_103
  <=> c3_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2746,plain,
    ( ~ c1_1(a1435)
    | spl0_103
    | spl0_106
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2735,f728]) ).

fof(f2735,plain,
    ( c2_1(a1435)
    | ~ c1_1(a1435)
    | spl0_103
    | ~ spl0_144 ),
    inference(resolution,[],[f911,f713]) ).

fof(f713,plain,
    ( ~ c3_1(a1435)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f2742,plain,
    ( spl0_146
    | ~ spl0_139
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2741,f910,f890,f919]) ).

fof(f2741,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_144 ),
    inference(duplicate_literal_removal,[],[f2721]) ).

fof(f2721,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_144 ),
    inference(resolution,[],[f911,f891]) ).

fof(f2703,plain,
    ( spl0_177
    | spl0_73
    | ~ spl0_79
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2702,f872,f591,f561,f2394]) ).

fof(f2702,plain,
    ( c1_1(a1430)
    | spl0_73
    | ~ spl0_79
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2693,f563]) ).

fof(f2693,plain,
    ( c2_1(a1430)
    | c1_1(a1430)
    | ~ spl0_79
    | ~ spl0_135 ),
    inference(resolution,[],[f873,f593]) ).

fof(f2684,plain,
    ( spl0_20
    | spl0_28
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2683]) ).

fof(f2683,plain,
    ( $false
    | spl0_20
    | spl0_28
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2682,f298]) ).

fof(f298,plain,
    ( ~ c0_1(a1454)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl0_20
  <=> c0_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f2682,plain,
    ( c0_1(a1454)
    | spl0_28
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2667,f338]) ).

fof(f338,plain,
    ( ~ c3_1(a1454)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl0_28
  <=> c3_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2667,plain,
    ( c3_1(a1454)
    | c0_1(a1454)
    | ~ spl0_44
    | ~ spl0_134 ),
    inference(resolution,[],[f869,f418]) ).

fof(f418,plain,
    ( c1_1(a1454)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f416,plain,
    ( spl0_44
  <=> c1_1(a1454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f868,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2652,plain,
    ( ~ spl0_47
    | ~ spl0_42
    | ~ spl0_56
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2633,f864,f476,f406,f431]) ).

fof(f431,plain,
    ( spl0_47
  <=> c3_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f406,plain,
    ( spl0_42
  <=> c1_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f476,plain,
    ( spl0_56
  <=> c2_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2633,plain,
    ( ~ c3_1(a1483)
    | ~ spl0_42
    | ~ spl0_56
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2619,f408]) ).

fof(f408,plain,
    ( c1_1(a1483)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f2619,plain,
    ( ~ c1_1(a1483)
    | ~ c3_1(a1483)
    | ~ spl0_56
    | ~ spl0_133 ),
    inference(resolution,[],[f865,f478]) ).

fof(f478,plain,
    ( c2_1(a1483)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f2595,plain,
    ( spl0_117
    | ~ spl0_121
    | ~ spl0_129
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2594]) ).

fof(f2594,plain,
    ( $false
    | spl0_117
    | ~ spl0_121
    | ~ spl0_129
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2585,f783]) ).

fof(f783,plain,
    ( ~ c1_1(a1438)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f2585,plain,
    ( c1_1(a1438)
    | ~ spl0_121
    | ~ spl0_129
    | ~ spl0_135 ),
    inference(resolution,[],[f2575,f803]) ).

fof(f2575,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_129
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f873,f849]) ).

fof(f2593,plain,
    ( spl0_101
    | ~ spl0_109
    | ~ spl0_129
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2592]) ).

fof(f2592,plain,
    ( $false
    | spl0_101
    | ~ spl0_109
    | ~ spl0_129
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2584,f703]) ).

fof(f2584,plain,
    ( c1_1(a1441)
    | ~ spl0_109
    | ~ spl0_129
    | ~ spl0_135 ),
    inference(resolution,[],[f2575,f743]) ).

fof(f2573,plain,
    ( ~ spl0_52
    | spl0_26
    | ~ spl0_50
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2565,f848,f446,f326,f456]) ).

fof(f456,plain,
    ( spl0_52
  <=> c2_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f326,plain,
    ( spl0_26
  <=> c1_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f446,plain,
    ( spl0_50
  <=> c3_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2565,plain,
    ( ~ c2_1(a1465)
    | spl0_26
    | ~ spl0_50
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2555,f328]) ).

fof(f328,plain,
    ( ~ c1_1(a1465)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f2555,plain,
    ( c1_1(a1465)
    | ~ c2_1(a1465)
    | ~ spl0_50
    | ~ spl0_129 ),
    inference(resolution,[],[f849,f448]) ).

fof(f448,plain,
    ( c3_1(a1465)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f2531,plain,
    ( spl0_27
    | ~ spl0_33
    | ~ spl0_127
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2530]) ).

fof(f2530,plain,
    ( $false
    | spl0_27
    | ~ spl0_33
    | ~ spl0_127
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2524,f363]) ).

fof(f363,plain,
    ( c0_1(a1452)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f361,plain,
    ( spl0_33
  <=> c0_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2524,plain,
    ( ~ c0_1(a1452)
    | spl0_27
    | ~ spl0_127
    | ~ spl0_141 ),
    inference(resolution,[],[f2519,f333]) ).

fof(f333,plain,
    ( ~ c3_1(a1452)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl0_27
  <=> c3_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2519,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f899,f840]) ).

fof(f2364,plain,
    ( spl0_65
    | ~ spl0_81
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2363]) ).

fof(f2363,plain,
    ( $false
    | spl0_65
    | ~ spl0_81
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2352,f523]) ).

fof(f523,plain,
    ( ~ c0_1(a1504)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl0_65
  <=> c0_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2352,plain,
    ( c0_1(a1504)
    | ~ spl0_81
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(resolution,[],[f2335,f603]) ).

fof(f603,plain,
    ( c2_1(a1504)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f601,plain,
    ( spl0_81
  <=> c2_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2335,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f946,f940]) ).

fof(f940,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2282,plain,
    ( ~ spl0_171
    | spl0_70
    | spl0_72
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2279,f839,f556,f546,f1965]) ).

fof(f2279,plain,
    ( ~ c0_1(a1444)
    | spl0_70
    | spl0_72
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2277,f558]) ).

fof(f2277,plain,
    ( c2_1(a1444)
    | ~ c0_1(a1444)
    | spl0_70
    | ~ spl0_127 ),
    inference(resolution,[],[f840,f548]) ).

fof(f2263,plain,
    ( spl0_163
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2258,f953,f848,f821,f1536]) ).

fof(f1536,plain,
    ( spl0_163
  <=> c1_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f821,plain,
    ( spl0_125
  <=> c2_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f2258,plain,
    ( c1_1(a1427)
    | ~ spl0_125
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(resolution,[],[f2245,f823]) ).

fof(f823,plain,
    ( c2_1(a1427)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f2245,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f954,f849]) ).

fof(f2262,plain,
    ( spl0_86
    | ~ spl0_93
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2261]) ).

fof(f2261,plain,
    ( $false
    | spl0_86
    | ~ spl0_93
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2255,f628]) ).

fof(f2255,plain,
    ( c1_1(a1451)
    | ~ spl0_93
    | ~ spl0_129
    | ~ spl0_153 ),
    inference(resolution,[],[f2245,f663]) ).

fof(f2172,plain,
    ( spl0_86
    | ~ spl0_93
    | ~ spl0_148
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2159,f953,f939,f927,f661,f626]) ).

fof(f2159,plain,
    ( c1_1(a1451)
    | ~ spl0_93
    | ~ spl0_148
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(resolution,[],[f2148,f663]) ).

fof(f2148,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_148
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f954,f1762]) ).

fof(f1762,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_148
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f928,f940]) ).

fof(f2144,plain,
    ( spl0_67
    | spl0_69
    | ~ spl0_138
    | ~ spl0_172 ),
    inference(avatar_contradiction_clause,[],[f2143]) ).

fof(f2143,plain,
    ( $false
    | spl0_67
    | spl0_69
    | ~ spl0_138
    | ~ spl0_172 ),
    inference(subsumption_resolution,[],[f2142,f533]) ).

fof(f2142,plain,
    ( c0_1(a1460)
    | spl0_69
    | ~ spl0_138
    | ~ spl0_172 ),
    inference(subsumption_resolution,[],[f2141,f543]) ).

fof(f2141,plain,
    ( c1_1(a1460)
    | c0_1(a1460)
    | ~ spl0_138
    | ~ spl0_172 ),
    inference(resolution,[],[f2016,f886]) ).

fof(f2016,plain,
    ( c2_1(a1460)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f2014]) ).

fof(f2138,plain,
    ( spl0_70
    | spl0_72
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2137]) ).

fof(f2137,plain,
    ( $false
    | spl0_70
    | spl0_72
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2133,f558]) ).

fof(f2133,plain,
    ( c2_1(a1444)
    | spl0_70
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(resolution,[],[f2114,f548]) ).

fof(f2114,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f950,f911]) ).

fof(f2135,plain,
    ( spl0_103
    | spl0_106
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2134]) ).

fof(f2134,plain,
    ( $false
    | spl0_103
    | spl0_106
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2128,f728]) ).

fof(f2128,plain,
    ( c2_1(a1435)
    | spl0_103
    | ~ spl0_144
    | ~ spl0_152 ),
    inference(resolution,[],[f2114,f713]) ).

fof(f2112,plain,
    ( spl0_64
    | ~ spl0_79
    | ~ spl0_140
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2111]) ).

fof(f2111,plain,
    ( $false
    | spl0_64
    | ~ spl0_79
    | ~ spl0_140
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2099,f518]) ).

fof(f518,plain,
    ( ~ c0_1(a1430)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f2099,plain,
    ( c0_1(a1430)
    | ~ spl0_79
    | ~ spl0_140
    | ~ spl0_150 ),
    inference(resolution,[],[f2088,f593]) ).

fof(f2088,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_140
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f895,f940]) ).

fof(f2106,plain,
    ( spl0_85
    | ~ spl0_91
    | ~ spl0_140
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2105]) ).

fof(f2105,plain,
    ( $false
    | spl0_85
    | ~ spl0_91
    | ~ spl0_140
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2095,f623]) ).

fof(f623,plain,
    ( ~ c0_1(a1468)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f621,plain,
    ( spl0_85
  <=> c0_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2095,plain,
    ( c0_1(a1468)
    | ~ spl0_91
    | ~ spl0_140
    | ~ spl0_150 ),
    inference(resolution,[],[f2088,f653]) ).

fof(f653,plain,
    ( c3_1(a1468)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f651,plain,
    ( spl0_91
  <=> c3_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2084,plain,
    ( spl0_67
    | spl0_71
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | spl0_67
    | spl0_71
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2062,f533]) ).

fof(f2062,plain,
    ( c0_1(a1460)
    | spl0_71
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(resolution,[],[f2045,f553]) ).

fof(f2045,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f946,f903]) ).

fof(f2078,plain,
    ( spl0_20
    | spl0_28
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2077]) ).

fof(f2077,plain,
    ( $false
    | spl0_20
    | spl0_28
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2054,f298]) ).

fof(f2054,plain,
    ( c0_1(a1454)
    | spl0_28
    | ~ spl0_142
    | ~ spl0_151 ),
    inference(resolution,[],[f2045,f338]) ).

fof(f2010,plain,
    ( spl0_22
    | spl0_32
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2009]) ).

fof(f2009,plain,
    ( $false
    | spl0_22
    | spl0_32
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2008,f308]) ).

fof(f308,plain,
    ( ~ c1_1(a1437)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl0_22
  <=> c1_1(a1437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2008,plain,
    ( c1_1(a1437)
    | spl0_32
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1997,f358]) ).

fof(f358,plain,
    ( ~ c2_1(a1437)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f356,plain,
    ( spl0_32
  <=> c2_1(a1437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1997,plain,
    ( c2_1(a1437)
    | c1_1(a1437)
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(resolution,[],[f915,f393]) ).

fof(f393,plain,
    ( c0_1(a1437)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl0_39
  <=> c0_1(a1437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2003,plain,
    ( spl0_21
    | spl0_30
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | spl0_21
    | spl0_30
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f2001,f303]) ).

fof(f303,plain,
    ( ~ c1_1(a1487)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f301,plain,
    ( spl0_21
  <=> c1_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2001,plain,
    ( c1_1(a1487)
    | spl0_30
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f1991,f348]) ).

fof(f348,plain,
    ( ~ c2_1(a1487)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl0_30
  <=> c2_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1991,plain,
    ( c2_1(a1487)
    | c1_1(a1487)
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(resolution,[],[f915,f1333]) ).

fof(f1333,plain,
    ( c0_1(a1487)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1332]) ).

fof(f1332,plain,
    ( spl0_161
  <=> c0_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1923,plain,
    ( spl0_105
    | spl0_98
    | spl0_102
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1922,f902,f706,f686,f721]) ).

fof(f686,plain,
    ( spl0_98
  <=> c0_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1922,plain,
    ( c2_1(a1447)
    | spl0_98
    | spl0_102
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1910,f688]) ).

fof(f688,plain,
    ( ~ c0_1(a1447)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f1910,plain,
    ( c2_1(a1447)
    | c0_1(a1447)
    | spl0_102
    | ~ spl0_142 ),
    inference(resolution,[],[f903,f708]) ).

fof(f1889,plain,
    ( spl0_161
    | spl0_21
    | ~ spl0_49
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1888,f856,f441,f301,f1332]) ).

fof(f441,plain,
    ( spl0_49
  <=> c3_1(a1487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1888,plain,
    ( c0_1(a1487)
    | spl0_21
    | ~ spl0_49
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1882,f303]) ).

fof(f1882,plain,
    ( c1_1(a1487)
    | c0_1(a1487)
    | ~ spl0_49
    | ~ spl0_131 ),
    inference(resolution,[],[f857,f443]) ).

fof(f443,plain,
    ( c3_1(a1487)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1869,plain,
    ( ~ spl0_40
    | spl0_169
    | ~ spl0_41
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1771,f843,f401,f1865,f396]) ).

fof(f843,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1771,plain,
    ( c3_1(a1507)
    | ~ c0_1(a1507)
    | ~ spl0_41
    | ~ spl0_128 ),
    inference(resolution,[],[f403,f844]) ).

fof(f844,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f1863,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_57
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1860,f835,f481,f401,f396]) ).

fof(f1860,plain,
    ( ~ c0_1(a1507)
    | ~ spl0_41
    | ~ spl0_57
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1843,f483]) ).

fof(f1843,plain,
    ( ~ c2_1(a1507)
    | ~ c0_1(a1507)
    | ~ spl0_41
    | ~ spl0_126 ),
    inference(resolution,[],[f836,f403]) ).

fof(f1806,plain,
    ( spl0_67
    | spl0_69
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1797,f885,f860,f541,f531]) ).

fof(f1797,plain,
    ( c0_1(a1460)
    | spl0_69
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(resolution,[],[f1763,f543]) ).

fof(f1763,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f861,f886]) ).

fof(f861,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1769,plain,
    ( ~ spl0_54
    | spl0_167
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1576,f848,f451,f1766,f466]) ).

fof(f1576,plain,
    ( c1_1(a1428)
    | ~ c2_1(a1428)
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(resolution,[],[f849,f453]) ).

fof(f1760,plain,
    ( ~ spl0_78
    | spl0_66
    | ~ spl0_80
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1688,f939,f596,f526,f586]) ).

fof(f526,plain,
    ( spl0_66
  <=> c0_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1688,plain,
    ( c0_1(a1429)
    | ~ c3_1(a1429)
    | ~ spl0_80
    | ~ spl0_150 ),
    inference(resolution,[],[f598,f940]) ).

fof(f1747,plain,
    ( spl0_88
    | ~ spl0_89
    | ~ spl0_92
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1746]) ).

fof(f1746,plain,
    ( $false
    | spl0_88
    | ~ spl0_89
    | ~ spl0_92
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1745,f658]) ).

fof(f1745,plain,
    ( ~ c2_1(a1449)
    | spl0_88
    | ~ spl0_89
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1734,f643]) ).

fof(f1734,plain,
    ( ~ c1_1(a1449)
    | ~ c2_1(a1449)
    | spl0_88
    | ~ spl0_147 ),
    inference(resolution,[],[f924,f638]) ).

fof(f924,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f923,plain,
    ( spl0_147
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1695,plain,
    ( spl0_66
    | spl0_158
    | ~ spl0_80
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1689,f885,f596,f1074,f526]) ).

fof(f1689,plain,
    ( c1_1(a1429)
    | c0_1(a1429)
    | ~ spl0_80
    | ~ spl0_138 ),
    inference(resolution,[],[f598,f886]) ).

fof(f1618,plain,
    ( spl0_123
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f1617]) ).

fof(f1617,plain,
    ( $false
    | spl0_123
    | ~ spl0_124
    | ~ spl0_128
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f1616,f818]) ).

fof(f818,plain,
    ( c0_1(a1427)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl0_124
  <=> c0_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1616,plain,
    ( ~ c0_1(a1427)
    | spl0_123
    | ~ spl0_128
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f1610,f813]) ).

fof(f813,plain,
    ( ~ c3_1(a1427)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl0_123
  <=> c3_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1610,plain,
    ( c3_1(a1427)
    | ~ c0_1(a1427)
    | ~ spl0_128
    | ~ spl0_163 ),
    inference(resolution,[],[f1538,f844]) ).

fof(f1538,plain,
    ( c1_1(a1427)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f1600,plain,
    ( spl0_164
    | spl0_86
    | ~ spl0_93
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1503,f885,f661,f626,f1597]) ).

fof(f1503,plain,
    ( c1_1(a1451)
    | c0_1(a1451)
    | ~ spl0_93
    | ~ spl0_138 ),
    inference(resolution,[],[f886,f663]) ).

fof(f1573,plain,
    ( spl0_70
    | spl0_72
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | spl0_70
    | spl0_72
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1563,f558]) ).

fof(f1563,plain,
    ( c2_1(a1444)
    | spl0_70
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(resolution,[],[f1540,f548]) ).

fof(f1540,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f950,f1221]) ).

fof(f1221,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_128
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f869,f844]) ).

fof(f1534,plain,
    ( ~ spl0_124
    | spl0_123
    | ~ spl0_125
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1533,f898,f821,f811,f816]) ).

fof(f1533,plain,
    ( ~ c0_1(a1427)
    | spl0_123
    | ~ spl0_125
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1525,f823]) ).

fof(f1525,plain,
    ( ~ c0_1(a1427)
    | ~ c2_1(a1427)
    | spl0_123
    | ~ spl0_141 ),
    inference(resolution,[],[f899,f813]) ).

fof(f1511,plain,
    ( spl0_24
    | spl0_19
    | ~ spl0_55
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1510,f885,f471,f291,f316]) ).

fof(f316,plain,
    ( spl0_24
  <=> c1_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f291,plain,
    ( spl0_19
  <=> c0_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f471,plain,
    ( spl0_55
  <=> c2_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1510,plain,
    ( c1_1(a1477)
    | spl0_19
    | ~ spl0_55
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1501,f293]) ).

fof(f293,plain,
    ( ~ c0_1(a1477)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f1501,plain,
    ( c1_1(a1477)
    | c0_1(a1477)
    | ~ spl0_55
    | ~ spl0_138 ),
    inference(resolution,[],[f886,f473]) ).

fof(f473,plain,
    ( c2_1(a1477)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1494,plain,
    ( spl0_99
    | spl0_100
    | spl0_104
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1493]) ).

fof(f1493,plain,
    ( $false
    | spl0_99
    | spl0_100
    | spl0_104
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1492,f698]) ).

fof(f1492,plain,
    ( c1_1(a1457)
    | spl0_99
    | spl0_104
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1479,f693]) ).

fof(f1479,plain,
    ( c0_1(a1457)
    | c1_1(a1457)
    | spl0_104
    | ~ spl0_132 ),
    inference(resolution,[],[f861,f718]) ).

fof(f1487,plain,
    ( spl0_21
    | spl0_30
    | ~ spl0_132
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1486,plain,
    ( $false
    | spl0_21
    | spl0_30
    | ~ spl0_132
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1485,f303]) ).

fof(f1485,plain,
    ( c1_1(a1487)
    | spl0_30
    | ~ spl0_132
    | spl0_161 ),
    inference(subsumption_resolution,[],[f1471,f1334]) ).

fof(f1334,plain,
    ( ~ c0_1(a1487)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1332]) ).

fof(f1471,plain,
    ( c0_1(a1487)
    | c1_1(a1487)
    | spl0_30
    | ~ spl0_132 ),
    inference(resolution,[],[f861,f348]) ).

fof(f1465,plain,
    ( ~ spl0_38
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1464]) ).

fof(f1464,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1463,f388]) ).

fof(f1463,plain,
    ( ~ c0_1(a1458)
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(resolution,[],[f1450,f413]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_134
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f882,f1221]) ).

fof(f1448,plain,
    ( spl0_123
    | ~ spl0_125
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1445,f898,f885,f868,f864,f843,f821,f811]) ).

fof(f1445,plain,
    ( c3_1(a1427)
    | ~ spl0_125
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(resolution,[],[f1439,f823]) ).

fof(f1439,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_138
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f899,f1419]) ).

fof(f1419,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f886,f1336]) ).

fof(f1336,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_128
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f865,f1221]) ).

fof(f1335,plain,
    ( ~ spl0_161
    | spl0_30
    | ~ spl0_49
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1153,f890,f441,f346,f1332]) ).

fof(f1153,plain,
    ( c2_1(a1487)
    | ~ c0_1(a1487)
    | ~ spl0_49
    | ~ spl0_139 ),
    inference(resolution,[],[f891,f443]) ).

fof(f1226,plain,
    ( spl0_31
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1225]) ).

fof(f1225,plain,
    ( $false
    | spl0_31
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1224,f388]) ).

fof(f1224,plain,
    ( ~ c0_1(a1458)
    | spl0_31
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1223,f353]) ).

fof(f1223,plain,
    ( c2_1(a1458)
    | ~ c0_1(a1458)
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(resolution,[],[f1196,f891]) ).

fof(f1196,plain,
    ( c3_1(a1458)
    | ~ spl0_38
    | ~ spl0_43
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1195,f388]) ).

fof(f1195,plain,
    ( c3_1(a1458)
    | ~ c0_1(a1458)
    | ~ spl0_43
    | ~ spl0_128 ),
    inference(resolution,[],[f413,f844]) ).

fof(f1220,plain,
    ( spl0_111
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1219]) ).

fof(f1219,plain,
    ( $false
    | spl0_111
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1214,f753]) ).

fof(f1214,plain,
    ( c0_1(a1431)
    | ~ spl0_113
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(resolution,[],[f1207,f763]) ).

fof(f763,plain,
    ( c1_1(a1431)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f761,plain,
    ( spl0_113
  <=> c1_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1207,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f869,f877]) ).

fof(f1206,plain,
    ( ~ spl0_159
    | spl0_88
    | ~ spl0_89
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1010,f843,f641,f636,f1202]) ).

fof(f1010,plain,
    ( c3_1(a1449)
    | ~ c0_1(a1449)
    | ~ spl0_89
    | ~ spl0_128 ),
    inference(resolution,[],[f844,f643]) ).

fof(f1200,plain,
    ( spl0_118
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1199]) ).

fof(f1199,plain,
    ( $false
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1198,f793]) ).

fof(f1198,plain,
    ( ~ c0_1(a1448)
    | spl0_118
    | ~ spl0_120
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1197,f788]) ).

fof(f1197,plain,
    ( c2_1(a1448)
    | ~ c0_1(a1448)
    | ~ spl0_120
    | ~ spl0_139 ),
    inference(resolution,[],[f798,f891]) ).

fof(f1178,plain,
    ( spl0_73
    | ~ spl0_79
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1177]) ).

fof(f1177,plain,
    ( $false
    | spl0_73
    | ~ spl0_79
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1173,f563]) ).

fof(f1173,plain,
    ( c2_1(a1430)
    | ~ spl0_79
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(resolution,[],[f1167,f593]) ).

fof(f1167,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f895,f891]) ).

fof(f1148,plain,
    ( spl0_21
    | spl0_30
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1147]) ).

fof(f1147,plain,
    ( $false
    | spl0_21
    | spl0_30
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1146,f303]) ).

fof(f1146,plain,
    ( c1_1(a1487)
    | spl0_30
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1141,f348]) ).

fof(f1141,plain,
    ( c2_1(a1487)
    | c1_1(a1487)
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(resolution,[],[f873,f443]) ).

fof(f1138,plain,
    ( ~ spl0_91
    | spl0_85
    | ~ spl0_90
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1134,f876,f646,f621,f651]) ).

fof(f646,plain,
    ( spl0_90
  <=> c1_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1134,plain,
    ( ~ c3_1(a1468)
    | spl0_85
    | ~ spl0_90
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1129,f623]) ).

fof(f1129,plain,
    ( c0_1(a1468)
    | ~ c3_1(a1468)
    | ~ spl0_90
    | ~ spl0_136 ),
    inference(resolution,[],[f877,f648]) ).

fof(f648,plain,
    ( c1_1(a1468)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f1126,plain,
    ( ~ spl0_108
    | spl0_106
    | spl0_103
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1125,f839,f711,f726,f736]) ).

fof(f1125,plain,
    ( c2_1(a1435)
    | ~ c0_1(a1435)
    | spl0_103
    | ~ spl0_127 ),
    inference(resolution,[],[f713,f840]) ).

fof(f1055,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_128
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1054]) ).

fof(f1054,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_128
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1047,f398]) ).

fof(f1047,plain,
    ( ~ c0_1(a1507)
    | ~ spl0_41
    | ~ spl0_128
    | ~ spl0_137 ),
    inference(resolution,[],[f1038,f403]) ).

fof(f1038,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_128
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f882,f844]) ).

fof(f1043,plain,
    ( ~ spl0_81
    | spl0_65
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1042,f852,f576,f521,f601]) ).

fof(f576,plain,
    ( spl0_76
  <=> c1_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1042,plain,
    ( ~ c2_1(a1504)
    | spl0_65
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1040,f523]) ).

fof(f1040,plain,
    ( c0_1(a1504)
    | ~ c2_1(a1504)
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(resolution,[],[f578,f853]) ).

fof(f578,plain,
    ( c1_1(a1504)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1037,plain,
    ( ~ spl0_92
    | spl0_88
    | ~ spl0_89
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1034,f852,f843,f641,f636,f656]) ).

fof(f1034,plain,
    ( ~ c2_1(a1449)
    | spl0_88
    | ~ spl0_89
    | ~ spl0_128
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1032,f1015]) ).

fof(f1015,plain,
    ( ~ c0_1(a1449)
    | spl0_88
    | ~ spl0_89
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1010,f638]) ).

fof(f1032,plain,
    ( c0_1(a1449)
    | ~ c2_1(a1449)
    | ~ spl0_89
    | ~ spl0_130 ),
    inference(resolution,[],[f853,f643]) ).

fof(f1017,plain,
    ( spl0_27
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1016,f843,f421,f361,f331]) ).

fof(f421,plain,
    ( spl0_45
  <=> c1_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1016,plain,
    ( c3_1(a1452)
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1009,f363]) ).

fof(f1009,plain,
    ( c3_1(a1452)
    | ~ c0_1(a1452)
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(resolution,[],[f844,f423]) ).

fof(f423,plain,
    ( c1_1(a1452)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f996,plain,
    ( spl0_152
    | spl0_153
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f202,f856,f953,f949]) ).

fof(f202,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c3_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f994,plain,
    ( spl0_153
    | spl0_140
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f202,f914,f894,f953]) ).

fof(f195,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | c0_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f993,plain,
    ( spl0_138
    | spl0_129
    | spl0_148
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f202,f927,f848,f885]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | c0_1(X2)
      | c1_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f992,plain,
    ( spl0_153
    | spl0_130
    | spl0_127
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f202,f839,f852,f953]) ).

fof(f196,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | c0_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f991,plain,
    ( spl0_138
    | spl0_136
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f202,f890,f876,f885]) ).

fof(f197,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X2)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f990,plain,
    ( spl0_129
    | spl0_135
    | spl0_126
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f202,f835,f872,f848]) ).

fof(f199,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f988,plain,
    ( spl0_135
    | spl0_148
    | spl0_128
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f202,f843,f927,f872]) ).

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

fof(f987,plain,
    ( spl0_142
    | spl0_156
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f202,f806,f974,f902]) ).

fof(f806,plain,
    ( spl0_122
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f985,plain,
    ( spl0_132
    | spl0_127
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f202,f806,f839,f860]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c0_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f980,plain,
    ( spl0_152
    | spl0_133
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f202,f766,f864,f949]) ).

fof(f766,plain,
    ( spl0_114
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f979,plain,
    ( spl0_150
    | spl0_156
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f202,f771,f974,f939]) ).

fof(f771,plain,
    ( spl0_115
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f978,plain,
    ( spl0_144
    | spl0_134
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f202,f771,f868,f910]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f976,plain,
    ( spl0_156
    | spl0_144
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f202,f766,f910,f974]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f963,plain,
    ( spl0_153
    | spl0_131
    | spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f202,f681,f856,f953]) ).

fof(f681,plain,
    ( spl0_97
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f962,plain,
    ( spl0_152
    | spl0_143
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f202,f666,f906,f949]) ).

fof(f666,plain,
    ( spl0_94
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f961,plain,
    ( spl0_131
    | spl0_139
    | spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f202,f681,f890,f856]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f960,plain,
    ( spl0_129
    | spl0_128
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f202,f676,f843,f848]) ).

fof(f676,plain,
    ( spl0_96
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f959,plain,
    ( spl0_136
    | spl0_139
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f202,f666,f890,f876]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f958,plain,
    ( spl0_127
    | spl0_148
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f202,f671,f927,f839]) ).

fof(f671,plain,
    ( spl0_95
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f957,plain,
    ( spl0_151
    | spl0_130
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f202,f616,f852,f945]) ).

fof(f616,plain,
    ( spl0_84
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f956,plain,
    ( spl0_135
    | spl0_139
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f202,f606,f890,f872]) ).

fof(f606,plain,
    ( spl0_82
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f955,plain,
    ( spl0_153
    | spl0_137
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f202,f611,f881,f953]) ).

fof(f611,plain,
    ( spl0_83
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f951,plain,
    ( spl0_152
    | spl0_142
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f202,f506,f902,f949]) ).

fof(f506,plain,
    ( spl0_62
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | c0_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f947,plain,
    ( spl0_151
    | spl0_140
    | spl0_63
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f202,f511,f894,f945]) ).

fof(f511,plain,
    ( spl0_63
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f161,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f942,plain,
    ( spl0_132
    | spl0_133
    | spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f202,f231,f864,f860]) ).

fof(f231,plain,
    ( spl0_7
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp27
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f941,plain,
    ( spl0_150
    | spl0_130
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f202,f286,f852,f939]) ).

fof(f286,plain,
    ( spl0_18
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f937,plain,
    ( spl0_129
    | spl0_141
    | spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f202,f241,f898,f848]) ).

fof(f241,plain,
    ( spl0_9
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f936,plain,
    ( spl0_144
    | spl0_127
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f202,f271,f839,f910]) ).

fof(f271,plain,
    ( spl0_15
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f934,plain,
    ( spl0_135
    | spl0_137
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f202,f276,f881,f872]) ).

fof(f276,plain,
    ( spl0_16
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f929,plain,
    ( spl0_136
    | spl0_148
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f202,f271,f927,f876]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp18
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f925,plain,
    ( spl0_147
    | spl0_126
    | spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f202,f241,f835,f923]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f921,plain,
    ( spl0_136
    | spl0_146
    | spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f202,f226,f919,f876]) ).

fof(f226,plain,
    ( spl0_6
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f917,plain,
    ( spl0_141
    | spl0_145
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f202,f246,f914,f898]) ).

fof(f246,plain,
    ( spl0_10
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f916,plain,
    ( spl0_128
    | spl0_145
    | spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f202,f261,f914,f843]) ).

fof(f261,plain,
    ( spl0_13
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f904,plain,
    ( spl0_142
    | spl0_114
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f202,f676,f766,f902]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f900,plain,
    ( spl0_141
    | spl0_115
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f202,f671,f771,f898]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f896,plain,
    ( spl0_140
    | spl0_97
    | spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f202,f671,f681,f894]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp5
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f892,plain,
    ( spl0_139
    | spl0_97
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f202,f666,f681,f890]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp5
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f888,plain,
    ( spl0_128
    | spl0_110
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f202,f606,f746,f843]) ).

fof(f746,plain,
    ( spl0_110
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp3
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f883,plain,
    ( spl0_137
    | spl0_122
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f202,f491,f806,f881]) ).

fof(f491,plain,
    ( spl0_59
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp0
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f874,plain,
    ( spl0_135
    | spl0_82
    | spl0_63
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f202,f511,f606,f872]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp22
      | ~ c3_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f870,plain,
    ( spl0_134
    | spl0_83
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f202,f501,f611,f868]) ).

fof(f501,plain,
    ( spl0_61
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp13
      | ~ c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f866,plain,
    ( spl0_133
    | spl0_83
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f202,f491,f611,f864]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp13
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f854,plain,
    ( spl0_130
    | spl0_114
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f202,f281,f766,f852]) ).

fof(f281,plain,
    ( spl0_17
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp7
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f846,plain,
    ( spl0_127
    | spl0_97
    | spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f202,f251,f681,f839]) ).

fof(f251,plain,
    ( spl0_11
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp5
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f845,plain,
    ( spl0_128
    | spl0_84
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f202,f281,f616,f843]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp14
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f837,plain,
    ( spl0_126
    | spl0_63
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f202,f246,f511,f835]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp9
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f833,plain,
    ( spl0_115
    | spl0_96
    | spl0_84 ),
    inference(avatar_split_clause,[],[f36,f616,f676,f771]) ).

fof(f36,axiom,
    ( hskp14
    | hskp8
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f832,plain,
    ( spl0_110
    | spl0_94
    | spl0_82 ),
    inference(avatar_split_clause,[],[f40,f606,f666,f746]) ).

fof(f40,axiom,
    ( hskp22
    | hskp17
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f831,plain,
    ( spl0_96
    | spl0_84
    | spl0_58 ),
    inference(avatar_split_clause,[],[f37,f486,f616,f676]) ).

fof(f486,plain,
    ( spl0_58
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f37,axiom,
    ( hskp19
    | hskp14
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f830,plain,
    ( spl0_94
    | spl0_62
    | spl0_59 ),
    inference(avatar_split_clause,[],[f39,f491,f506,f666]) ).

fof(f39,axiom,
    ( hskp25
    | hskp2
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f828,plain,
    ( spl0_115
    | spl0_61
    | spl0_14 ),
    inference(avatar_split_clause,[],[f38,f266,f501,f771]) ).

fof(f266,plain,
    ( spl0_14
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f38,axiom,
    ( hskp10
    | hskp1
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f827,plain,
    ( spl0_83
    | spl0_7
    | spl0_18 ),
    inference(avatar_split_clause,[],[f34,f286,f231,f611]) ).

fof(f34,axiom,
    ( hskp15
    | hskp27
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f825,plain,
    ( spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1,f236,f256]) ).

fof(f256,plain,
    ( spl0_12
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f236,plain,
    ( spl0_8
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1,axiom,
    ( hskp24
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f824,plain,
    ( spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f87,f806,f821]) ).

fof(f87,axiom,
    ( ~ hskp0
    | c2_1(a1427) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f819,plain,
    ( spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f86,f806,f816]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c0_1(a1427) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f814,plain,
    ( ~ spl0_123
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f133,f806,f811]) ).

fof(f133,axiom,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f804,plain,
    ( spl0_121
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f77,f766,f801]) ).

fof(f77,axiom,
    ( ~ hskp7
    | c3_1(a1438) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f799,plain,
    ( spl0_120
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f73,f771,f796]) ).

fof(f73,axiom,
    ( ~ hskp12
    | c3_1(a1448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f794,plain,
    ( spl0_119
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f72,f771,f791]) ).

fof(f72,axiom,
    ( ~ hskp12
    | c0_1(a1448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f789,plain,
    ( ~ spl0_118
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f111,f771,f786]) ).

fof(f111,axiom,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f784,plain,
    ( ~ spl0_117
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f122,f766,f781]) ).

fof(f122,axiom,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f779,plain,
    ( ~ spl0_116
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f121,f766,f776]) ).

fof(f121,axiom,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f774,plain,
    ( spl0_1
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f20,f771,f202]) ).

fof(f20,axiom,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f764,plain,
    ( spl0_113
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f82,f746,f761]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c1_1(a1431) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f759,plain,
    ( ~ spl0_112
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f129,f746,f756]) ).

fof(f129,axiom,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f754,plain,
    ( ~ spl0_111
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f128,f746,f751]) ).

fof(f128,axiom,
    ( ~ hskp3
    | ~ c0_1(a1431) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f744,plain,
    ( spl0_109
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f76,f676,f741]) ).

fof(f76,axiom,
    ( ~ hskp8
    | c3_1(a1441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f739,plain,
    ( spl0_108
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f79,f681,f736]) ).

fof(f79,axiom,
    ( ~ hskp5
    | c0_1(a1435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f734,plain,
    ( spl0_107
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f75,f676,f731]) ).

fof(f75,axiom,
    ( ~ hskp8
    | c0_1(a1441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f729,plain,
    ( ~ spl0_106
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f125,f681,f726]) ).

fof(f125,axiom,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f724,plain,
    ( ~ spl0_105
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f113,f671,f721]) ).

fof(f113,axiom,
    ( ~ hskp11
    | ~ c2_1(a1447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f719,plain,
    ( ~ spl0_104
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f104,f666,f716]) ).

fof(f104,axiom,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f714,plain,
    ( ~ spl0_103
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f126,f681,f711]) ).

fof(f126,axiom,
    ( ~ hskp5
    | ~ c3_1(a1435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f709,plain,
    ( ~ spl0_102
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f114,f671,f706]) ).

fof(f114,axiom,
    ( ~ hskp11
    | ~ c3_1(a1447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f704,plain,
    ( ~ spl0_101
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f120,f676,f701]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f699,plain,
    ( ~ spl0_100
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f103,f666,f696]) ).

fof(f103,axiom,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f694,plain,
    ( ~ spl0_99
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f102,f666,f691]) ).

fof(f102,axiom,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f689,plain,
    ( ~ spl0_98
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f112,f671,f686]) ).

fof(f112,axiom,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f679,plain,
    ( spl0_1
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f24,f676,f202]) ).

fof(f24,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f664,plain,
    ( spl0_93
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f69,f616,f661]) ).

fof(f69,axiom,
    ( ~ hskp14
    | c2_1(a1451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f659,plain,
    ( spl0_92
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f71,f611,f656]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c2_1(a1449) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f654,plain,
    ( spl0_91
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f59,f606,f651]) ).

fof(f59,axiom,
    ( ~ hskp22
    | c3_1(a1468) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f649,plain,
    ( spl0_90
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f58,f606,f646]) ).

fof(f58,axiom,
    ( ~ hskp22
    | c1_1(a1468) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f644,plain,
    ( spl0_89
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f70,f611,f641]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c1_1(a1449) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f639,plain,
    ( ~ spl0_88
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f611,f636]) ).

fof(f110,axiom,
    ( ~ hskp13
    | ~ c3_1(a1449) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f634,plain,
    ( ~ spl0_87
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f109,f616,f631]) ).

fof(f109,axiom,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f629,plain,
    ( ~ spl0_86
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f108,f616,f626]) ).

fof(f108,axiom,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f624,plain,
    ( ~ spl0_85
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f95,f606,f621]) ).

fof(f95,axiom,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f619,plain,
    ( spl0_1
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f18,f616,f202]) ).

fof(f18,axiom,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f604,plain,
    ( spl0_81
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f55,f491,f601]) ).

fof(f55,axiom,
    ( ~ hskp25
    | c2_1(a1504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f599,plain,
    ( spl0_80
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f84,f501,f596]) ).

fof(f84,axiom,
    ( ~ hskp1
    | c2_1(a1429) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f594,plain,
    ( spl0_79
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f83,f506,f591]) ).

fof(f83,axiom,
    ( ~ hskp2
    | c3_1(a1430) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f589,plain,
    ( spl0_78
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f85,f501,f586]) ).

fof(f85,axiom,
    ( ~ hskp1
    | c3_1(a1429) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f579,plain,
    ( spl0_76
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f54,f491,f576]) ).

fof(f54,axiom,
    ( ~ hskp25
    | c1_1(a1504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f564,plain,
    ( ~ spl0_73
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f131,f506,f561]) ).

fof(f131,axiom,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f559,plain,
    ( ~ spl0_72
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f118,f511,f556]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c2_1(a1444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f554,plain,
    ( ~ spl0_71
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f100,f486,f551]) ).

fof(f100,axiom,
    ( ~ hskp19
    | ~ c3_1(a1460) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f549,plain,
    ( ~ spl0_70
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f119,f511,f546]) ).

fof(f119,axiom,
    ( ~ hskp9
    | ~ c3_1(a1444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f544,plain,
    ( ~ spl0_69
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f99,f486,f541]) ).

fof(f99,axiom,
    ( ~ hskp19
    | ~ c1_1(a1460) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f539,plain,
    ( ~ spl0_68
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f117,f511,f536]) ).

fof(f117,axiom,
    ( ~ hskp9
    | ~ c1_1(a1444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f534,plain,
    ( ~ spl0_67
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f98,f486,f531]) ).

fof(f98,axiom,
    ( ~ hskp19
    | ~ c0_1(a1460) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f529,plain,
    ( ~ spl0_66
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f132,f501,f526]) ).

fof(f132,axiom,
    ( ~ hskp1
    | ~ c0_1(a1429) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f524,plain,
    ( ~ spl0_65
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f90,f491,f521]) ).

fof(f90,axiom,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f519,plain,
    ( ~ spl0_64
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f130,f506,f516]) ).

fof(f130,axiom,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f484,plain,
    ( spl0_57
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f43,f256,f481]) ).

fof(f43,axiom,
    ( ~ hskp30
    | c2_1(a1507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f479,plain,
    ( spl0_56
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f45,f251,f476]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c2_1(a1483) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f474,plain,
    ( spl0_55
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f57,f241,f471]) ).

fof(f57,axiom,
    ( ~ hskp23
    | c2_1(a1477) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f469,plain,
    ( spl0_54
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f51,f231,f466]) ).

fof(f51,axiom,
    ( ~ hskp27
    | c2_1(a1428) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f464,plain,
    ( spl0_53
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f61,f246,f461]) ).

fof(f61,axiom,
    ( ~ hskp21
    | c2_1(a1466) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f459,plain,
    ( spl0_52
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f62,f261,f456]) ).

fof(f62,axiom,
    ( ~ hskp20
    | c2_1(a1465) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f454,plain,
    ( spl0_51
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f52,f231,f451]) ).

fof(f52,axiom,
    ( ~ hskp27
    | c3_1(a1428) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f449,plain,
    ( spl0_50
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f63,f261,f446]) ).

fof(f63,axiom,
    ( ~ hskp20
    | c3_1(a1465) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f444,plain,
    ( spl0_49
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f56,f236,f441]) ).

fof(f56,axiom,
    ( ~ hskp24
    | c3_1(a1487) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f439,plain,
    ( spl0_48
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f49,f226,f436]) ).

fof(f49,axiom,
    ( ~ hskp28
    | c3_1(a1456) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f434,plain,
    ( spl0_47
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f46,f251,f431]) ).

fof(f46,axiom,
    ( ~ hskp29
    | c3_1(a1483) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f429,plain,
    ( spl0_46
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f48,f226,f426]) ).

fof(f48,axiom,
    ( ~ hskp28
    | c1_1(a1456) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f424,plain,
    ( spl0_45
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f68,f286,f421]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c1_1(a1452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f419,plain,
    ( spl0_44
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f66,f281,f416]) ).

fof(f66,axiom,
    ( ~ hskp16
    | c1_1(a1454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f414,plain,
    ( spl0_43
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f65,f271,f411]) ).

fof(f65,axiom,
    ( ~ hskp18
    | c1_1(a1458) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f409,plain,
    ( spl0_42
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f44,f251,f406]) ).

fof(f44,axiom,
    ( ~ hskp29
    | c1_1(a1483) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f404,plain,
    ( spl0_41
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f42,f256,f401]) ).

fof(f42,axiom,
    ( ~ hskp30
    | c1_1(a1507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f399,plain,
    ( spl0_40
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f41,f256,f396]) ).

fof(f41,axiom,
    ( ~ hskp30
    | c0_1(a1507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f394,plain,
    ( spl0_39
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f78,f276,f391]) ).

fof(f78,axiom,
    ( ~ hskp6
    | c0_1(a1437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f389,plain,
    ( spl0_38
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f64,f271,f386]) ).

fof(f64,axiom,
    ( ~ hskp18
    | c0_1(a1458) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f384,plain,
    ( spl0_37
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f60,f246,f381]) ).

fof(f60,axiom,
    ( ~ hskp21
    | c0_1(a1466) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f379,plain,
    ( spl0_36
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f50,f231,f376]) ).

fof(f50,axiom,
    ( ~ hskp27
    | c0_1(a1428) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f374,plain,
    ( spl0_35
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f47,f226,f371]) ).

fof(f47,axiom,
    ( ~ hskp28
    | c0_1(a1456) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f369,plain,
    ( spl0_34
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f74,f266,f366]) ).

fof(f74,axiom,
    ( ~ hskp10
    | c0_1(a1445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f364,plain,
    ( spl0_33
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f67,f286,f361]) ).

fof(f67,axiom,
    ( ~ hskp15
    | c0_1(a1452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f359,plain,
    ( ~ spl0_32
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f124,f276,f356]) ).

fof(f124,axiom,
    ( ~ hskp6
    | ~ c2_1(a1437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f354,plain,
    ( ~ spl0_31
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f101,f271,f351]) ).

fof(f101,axiom,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f349,plain,
    ( ~ spl0_30
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f92,f236,f346]) ).

fof(f92,axiom,
    ( ~ hskp24
    | ~ c2_1(a1487) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f344,plain,
    ( ~ spl0_29
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f116,f266,f341]) ).

fof(f116,axiom,
    ( ~ hskp10
    | ~ c3_1(a1445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f339,plain,
    ( ~ spl0_28
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f106,f281,f336]) ).

fof(f106,axiom,
    ( ~ hskp16
    | ~ c3_1(a1454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f334,plain,
    ( ~ spl0_27
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f107,f286,f331]) ).

fof(f107,axiom,
    ( ~ hskp15
    | ~ c3_1(a1452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f329,plain,
    ( ~ spl0_26
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f97,f261,f326]) ).

fof(f97,axiom,
    ( ~ hskp20
    | ~ c1_1(a1465) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f319,plain,
    ( ~ spl0_24
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f94,f241,f316]) ).

fof(f94,axiom,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f314,plain,
    ( ~ spl0_23
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f96,f246,f311]) ).

fof(f96,axiom,
    ( ~ hskp21
    | ~ c1_1(a1466) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f309,plain,
    ( ~ spl0_22
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f123,f276,f306]) ).

fof(f123,axiom,
    ( ~ hskp6
    | ~ c1_1(a1437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f304,plain,
    ( ~ spl0_21
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f91,f236,f301]) ).

fof(f91,axiom,
    ( ~ hskp24
    | ~ c1_1(a1487) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f299,plain,
    ( ~ spl0_20
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f105,f281,f296]) ).

fof(f105,axiom,
    ( ~ hskp16
    | ~ c0_1(a1454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f294,plain,
    ( ~ spl0_19
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f93,f241,f291]) ).

fof(f93,axiom,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN479-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 01:49:27 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (8583)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (8585)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  % (8587)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  Detected maximum model sizes of [31]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  % (8586)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (8584)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (8589)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (8590)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (8588)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [31]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [31]
% 0.15/0.37  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [31]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4]
% 0.15/0.39  TRYING [5]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [5]
% 0.15/0.40  TRYING [5]
% 0.15/0.41  TRYING [5]
% 0.15/0.42  % (8589)First to succeed.
% 0.21/0.43  % (8589)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (8589)------------------------------
% 0.21/0.44  % (8589)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.44  % (8589)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (8589)Memory used [KB]: 1999
% 0.21/0.44  % (8589)Time elapsed: 0.057 s
% 0.21/0.44  % (8589)Instructions burned: 95 (million)
% 0.21/0.44  % (8589)------------------------------
% 0.21/0.44  % (8589)------------------------------
% 0.21/0.44  % (8583)Success in time 0.068 s
%------------------------------------------------------------------------------