TSTP Solution File: SYN484-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN484-1 : 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 : n025.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 18:03:53 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  257
% Syntax   : Number of formulae    :  799 (   1 unt;   0 def)
%            Number of atoms       : 2776 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3590 (1613   ~;1842   |;   0   &)
%                                         ( 135 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  167 ( 166 usr; 163 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  161 ( 161   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3472,plain,
    $false,
    inference(avatar_sat_refutation,[],[f233,f238,f278,f313,f318,f323,f328,f348,f353,f363,f368,f373,f383,f393,f398,f403,f413,f418,f423,f428,f433,f438,f443,f448,f453,f458,f463,f503,f508,f513,f518,f528,f533,f538,f543,f548,f553,f558,f563,f568,f578,f583,f623,f633,f638,f643,f648,f653,f658,f663,f668,f673,f678,f683,f688,f693,f698,f703,f708,f713,f723,f728,f733,f738,f743,f748,f753,f758,f763,f778,f783,f788,f793,f798,f803,f813,f818,f823,f824,f825,f828,f832,f836,f844,f852,f861,f865,f874,f878,f886,f891,f892,f896,f897,f898,f907,f911,f917,f919,f923,f927,f928,f929,f930,f935,f943,f947,f948,f953,f955,f961,f963,f964,f970,f971,f978,f979,f982,f984,f985,f987,f988,f1022,f1023,f1055,f1077,f1100,f1139,f1237,f1319,f1335,f1338,f1405,f1407,f1460,f1478,f1482,f1545,f1593,f1610,f1612,f1662,f1670,f1714,f1719,f1726,f1759,f1775,f1787,f1833,f1850,f1859,f1925,f1931,f1952,f1957,f1982,f1988,f2005,f2010,f2016,f2021,f2033,f2035,f2053,f2057,f2125,f2135,f2165,f2213,f2264,f2266,f2367,f2405,f2407,f2481,f2490,f2527,f2562,f2586,f2595,f2606,f2632,f2651,f2709,f2817,f2904,f2910,f2929,f2954,f2958,f2960,f3021,f3025,f3094,f3153,f3157,f3183,f3188,f3216,f3232,f3310,f3320,f3323,f3457,f3464]) ).

fof(f3464,plain,
    ( spl0_62
    | spl0_67
    | ~ spl0_70
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3463]) ).

fof(f3463,plain,
    ( $false
    | spl0_62
    | spl0_67
    | ~ spl0_70
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3462,f507]) ).

fof(f507,plain,
    ( ~ c3_1(a1977)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_62
  <=> c3_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f3462,plain,
    ( c3_1(a1977)
    | spl0_67
    | ~ spl0_70
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3432,f532]) ).

fof(f532,plain,
    ( ~ c2_1(a1977)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_67
  <=> c2_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3432,plain,
    ( c2_1(a1977)
    | c3_1(a1977)
    | ~ spl0_70
    | ~ spl0_152 ),
    inference(resolution,[],[f951,f547]) ).

fof(f547,plain,
    ( c1_1(a1977)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_70
  <=> c1_1(a1977) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f951,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f950,plain,
    ( spl0_152
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3457,plain,
    ( spl0_35
    | ~ spl0_44
    | ~ spl0_152
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f3456]) ).

fof(f3456,plain,
    ( $false
    | spl0_35
    | ~ spl0_44
    | ~ spl0_152
    | spl0_167 ),
    inference(subsumption_resolution,[],[f3455,f2124]) ).

fof(f2124,plain,
    ( ~ c3_1(a1992)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f2122]) ).

fof(f2122,plain,
    ( spl0_167
  <=> c3_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f3455,plain,
    ( c3_1(a1992)
    | spl0_35
    | ~ spl0_44
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3429,f372]) ).

fof(f372,plain,
    ( ~ c2_1(a1992)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_35
  <=> c2_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3429,plain,
    ( c2_1(a1992)
    | c3_1(a1992)
    | ~ spl0_44
    | ~ spl0_152 ),
    inference(resolution,[],[f951,f417]) ).

fof(f417,plain,
    ( c1_1(a1992)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl0_44
  <=> c1_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3323,plain,
    ( ~ spl0_158
    | spl0_92
    | ~ spl0_100
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2826,f850,f695,f655,f1239]) ).

fof(f1239,plain,
    ( spl0_158
  <=> c2_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f655,plain,
    ( spl0_92
  <=> c0_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f695,plain,
    ( spl0_100
  <=> c3_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f850,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2826,plain,
    ( c0_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_100
    | ~ spl0_131 ),
    inference(resolution,[],[f851,f697]) ).

fof(f697,plain,
    ( c3_1(a1983)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f851,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f3320,plain,
    ( spl0_92
    | spl0_88
    | ~ spl0_144
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3319,f1239,f909,f635,f655]) ).

fof(f635,plain,
    ( spl0_88
  <=> c1_1(a1983) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f909,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3319,plain,
    ( c0_1(a1983)
    | spl0_88
    | ~ spl0_144
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3276,f637]) ).

fof(f637,plain,
    ( ~ c1_1(a1983)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f3276,plain,
    ( c0_1(a1983)
    | c1_1(a1983)
    | ~ spl0_144
    | ~ spl0_158 ),
    inference(resolution,[],[f910,f1240]) ).

fof(f1240,plain,
    ( c2_1(a1983)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f910,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f3310,plain,
    ( spl0_123
    | ~ spl0_125
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f3309]) ).

fof(f3309,plain,
    ( $false
    | spl0_123
    | ~ spl0_125
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f3293,f812]) ).

fof(f812,plain,
    ( ~ c1_1(a1987)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f810,plain,
    ( spl0_123
  <=> c1_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f3293,plain,
    ( c1_1(a1987)
    | ~ spl0_125
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(resolution,[],[f3281,f822]) ).

fof(f822,plain,
    ( c2_1(a1987)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_125
  <=> c2_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3281,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f914,f910]) ).

fof(f914,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f913,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3232,plain,
    ( spl0_123
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f3231]) ).

fof(f3231,plain,
    ( $false
    | spl0_123
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f3230,f2009]) ).

fof(f2009,plain,
    ( c0_1(a1987)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f2007]) ).

fof(f2007,plain,
    ( spl0_164
  <=> c0_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f3230,plain,
    ( ~ c0_1(a1987)
    | spl0_123
    | ~ spl0_124
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3206,f817]) ).

fof(f817,plain,
    ( c3_1(a1987)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl0_124
  <=> c3_1(a1987) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3206,plain,
    ( ~ c3_1(a1987)
    | ~ c0_1(a1987)
    | spl0_123
    | ~ spl0_139 ),
    inference(resolution,[],[f885,f812]) ).

fof(f885,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f884,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3216,plain,
    ( ~ spl0_68
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_126
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3215]) ).

fof(f3215,plain,
    ( $false
    | ~ spl0_68
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_126
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3214,f562]) ).

fof(f562,plain,
    ( c0_1(a2005)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_73
  <=> c0_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3214,plain,
    ( ~ c0_1(a2005)
    | ~ spl0_68
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_126
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3200,f537]) ).

fof(f537,plain,
    ( c3_1(a2005)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl0_68
  <=> c3_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3200,plain,
    ( ~ c3_1(a2005)
    | ~ c0_1(a2005)
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_126
    | ~ spl0_139 ),
    inference(resolution,[],[f885,f2769]) ).

fof(f2769,plain,
    ( ~ c1_1(a2005)
    | ~ spl0_73
    | ~ spl0_77
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2750,f562]) ).

fof(f2750,plain,
    ( ~ c1_1(a2005)
    | ~ c0_1(a2005)
    | ~ spl0_77
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f582]) ).

fof(f582,plain,
    ( c2_1(a2005)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl0_77
  <=> c2_1(a2005) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f831,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f830,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f3188,plain,
    ( spl0_111
    | ~ spl0_112
    | ~ spl0_141
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3187]) ).

fof(f3187,plain,
    ( $false
    | spl0_111
    | ~ spl0_112
    | ~ spl0_141
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3186,f757]) ).

fof(f757,plain,
    ( c3_1(a1996)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_112
  <=> c3_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f3186,plain,
    ( ~ c3_1(a1996)
    | spl0_111
    | ~ spl0_141
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f3171,f752]) ).

fof(f752,plain,
    ( ~ c2_1(a1996)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_111
  <=> c2_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3171,plain,
    ( c2_1(a1996)
    | ~ c3_1(a1996)
    | ~ spl0_141
    | ~ spl0_157 ),
    inference(resolution,[],[f895,f1179]) ).

fof(f1179,plain,
    ( c1_1(a1996)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1178,plain,
    ( spl0_157
  <=> c1_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f895,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f3183,plain,
    ( ~ spl0_69
    | ~ spl0_71
    | ~ spl0_141
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3182]) ).

fof(f3182,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_141
    | spl0_162 ),
    inference(subsumption_resolution,[],[f3181,f542]) ).

fof(f542,plain,
    ( c3_1(a1972)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_69
  <=> c3_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f3181,plain,
    ( ~ c3_1(a1972)
    | ~ spl0_71
    | ~ spl0_141
    | spl0_162 ),
    inference(subsumption_resolution,[],[f3166,f1871]) ).

fof(f1871,plain,
    ( ~ c2_1(a1972)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1870]) ).

fof(f1870,plain,
    ( spl0_162
  <=> c2_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f3166,plain,
    ( c2_1(a1972)
    | ~ c3_1(a1972)
    | ~ spl0_71
    | ~ spl0_141 ),
    inference(resolution,[],[f895,f552]) ).

fof(f552,plain,
    ( c1_1(a1972)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_71
  <=> c1_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3157,plain,
    ( spl0_61
    | spl0_172
    | ~ spl0_76
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2985,f863,f575,f2814,f500]) ).

fof(f500,plain,
    ( spl0_61
  <=> c3_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2814,plain,
    ( spl0_172
  <=> c1_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f575,plain,
    ( spl0_76
  <=> c2_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f863,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2985,plain,
    ( c1_1(a1991)
    | c3_1(a1991)
    | ~ spl0_76
    | ~ spl0_134 ),
    inference(resolution,[],[f864,f577]) ).

fof(f577,plain,
    ( c2_1(a1991)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f864,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f3153,plain,
    ( spl0_61
    | ~ spl0_76
    | ~ spl0_130
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3152]) ).

fof(f3152,plain,
    ( $false
    | spl0_61
    | ~ spl0_76
    | ~ spl0_130
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3145,f577]) ).

fof(f3145,plain,
    ( ~ c2_1(a1991)
    | spl0_61
    | ~ spl0_130
    | ~ spl0_148 ),
    inference(resolution,[],[f3122,f502]) ).

fof(f502,plain,
    ( ~ c3_1(a1991)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f3122,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_130
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f934,f847]) ).

fof(f847,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f846,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f934,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f933,plain,
    ( spl0_148
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3094,plain,
    ( spl0_30
    | spl0_35
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3086,f889,f415,f370,f345]) ).

fof(f345,plain,
    ( spl0_30
  <=> c0_1(a1992) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f889,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3086,plain,
    ( c0_1(a1992)
    | spl0_35
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3076,f372]) ).

fof(f3076,plain,
    ( c2_1(a1992)
    | c0_1(a1992)
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(resolution,[],[f890,f417]) ).

fof(f890,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f3025,plain,
    ( spl0_116
    | spl0_118
    | ~ spl0_120
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3024]) ).

fof(f3024,plain,
    ( $false
    | spl0_116
    | spl0_118
    | ~ spl0_120
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3023,f797]) ).

fof(f797,plain,
    ( c0_1(a1975)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_120
  <=> c0_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3023,plain,
    ( ~ c0_1(a1975)
    | spl0_116
    | spl0_118
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3009,f787]) ).

fof(f787,plain,
    ( ~ c2_1(a1975)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_118
  <=> c2_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f3009,plain,
    ( c2_1(a1975)
    | ~ c0_1(a1975)
    | spl0_116
    | ~ spl0_137 ),
    inference(resolution,[],[f877,f777]) ).

fof(f777,plain,
    ( ~ c1_1(a1975)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_116
  <=> c1_1(a1975) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f877,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3021,plain,
    ( spl0_111
    | ~ spl0_113
    | ~ spl0_137
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3020]) ).

fof(f3020,plain,
    ( $false
    | spl0_111
    | ~ spl0_113
    | ~ spl0_137
    | spl0_157 ),
    inference(subsumption_resolution,[],[f3019,f762]) ).

fof(f762,plain,
    ( c0_1(a1996)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_113
  <=> c0_1(a1996) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f3019,plain,
    ( ~ c0_1(a1996)
    | spl0_111
    | ~ spl0_137
    | spl0_157 ),
    inference(subsumption_resolution,[],[f3003,f752]) ).

fof(f3003,plain,
    ( c2_1(a1996)
    | ~ c0_1(a1996)
    | ~ spl0_137
    | spl0_157 ),
    inference(resolution,[],[f877,f1180]) ).

fof(f1180,plain,
    ( ~ c1_1(a1996)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f2960,plain,
    ( spl0_94
    | ~ spl0_109
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2959]) ).

fof(f2959,plain,
    ( $false
    | spl0_94
    | ~ spl0_109
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2946,f667]) ).

fof(f667,plain,
    ( ~ c0_1(a1974)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_94
  <=> c0_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2946,plain,
    ( c0_1(a1974)
    | ~ spl0_109
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(resolution,[],[f2930,f742]) ).

fof(f742,plain,
    ( c2_1(a1974)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_109
  <=> c2_1(a1974) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2930,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f934,f851]) ).

fof(f2958,plain,
    ( spl0_93
    | ~ spl0_106
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2957]) ).

fof(f2957,plain,
    ( $false
    | spl0_93
    | ~ spl0_106
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2942,f662]) ).

fof(f662,plain,
    ( ~ c0_1(a1989)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl0_93
  <=> c0_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2942,plain,
    ( c0_1(a1989)
    | ~ spl0_106
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(resolution,[],[f2930,f727]) ).

fof(f727,plain,
    ( c2_1(a1989)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_106
  <=> c2_1(a1989) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2954,plain,
    ( ~ spl0_43
    | ~ spl0_52
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2953]) ).

fof(f2953,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_52
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2937,f2770]) ).

fof(f2770,plain,
    ( ~ c0_1(a2003)
    | ~ spl0_43
    | ~ spl0_52
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2755,f412]) ).

fof(f412,plain,
    ( c1_1(a2003)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_43
  <=> c1_1(a2003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2755,plain,
    ( ~ c1_1(a2003)
    | ~ c0_1(a2003)
    | ~ spl0_52
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f457]) ).

fof(f457,plain,
    ( c2_1(a2003)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f455,plain,
    ( spl0_52
  <=> c2_1(a2003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2937,plain,
    ( c0_1(a2003)
    | ~ spl0_52
    | ~ spl0_131
    | ~ spl0_148 ),
    inference(resolution,[],[f2930,f457]) ).

fof(f2929,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_126
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2928,f1870,f830,f555,f550]) ).

fof(f555,plain,
    ( spl0_72
  <=> c0_1(a1972) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2928,plain,
    ( ~ c1_1(a1972)
    | ~ spl0_72
    | ~ spl0_126
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2752,f557]) ).

fof(f557,plain,
    ( c0_1(a1972)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f2752,plain,
    ( ~ c1_1(a1972)
    | ~ c0_1(a1972)
    | ~ spl0_126
    | ~ spl0_162 ),
    inference(resolution,[],[f831,f1872]) ).

fof(f1872,plain,
    ( c2_1(a1972)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1870]) ).

fof(f2910,plain,
    ( spl0_123
    | ~ spl0_124
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2909]) ).

fof(f2909,plain,
    ( $false
    | spl0_123
    | ~ spl0_124
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2887,f812]) ).

fof(f2887,plain,
    ( c1_1(a1987)
    | ~ spl0_124
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(resolution,[],[f2879,f817]) ).

fof(f2879,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f885,f855]) ).

fof(f855,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2904,plain,
    ( ~ spl0_112
    | ~ spl0_132
    | ~ spl0_139
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2903]) ).

fof(f2903,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_132
    | ~ spl0_139
    | spl0_157 ),
    inference(subsumption_resolution,[],[f2884,f1180]) ).

fof(f2884,plain,
    ( c1_1(a1996)
    | ~ spl0_112
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(resolution,[],[f2879,f757]) ).

fof(f2817,plain,
    ( ~ spl0_74
    | ~ spl0_172
    | ~ spl0_76
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2759,f830,f575,f2814,f565]) ).

fof(f565,plain,
    ( spl0_74
  <=> c0_1(a1991) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2759,plain,
    ( ~ c1_1(a1991)
    | ~ c0_1(a1991)
    | ~ spl0_76
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f577]) ).

fof(f2709,plain,
    ( ~ spl0_112
    | ~ spl0_113
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2708]) ).

fof(f2708,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2696,f757]) ).

fof(f2696,plain,
    ( ~ c3_1(a1996)
    | ~ spl0_113
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(resolution,[],[f2690,f762]) ).

fof(f2690,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f885,f2601]) ).

fof(f2601,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f831,f868]) ).

fof(f868,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2651,plain,
    ( spl0_97
    | ~ spl0_129
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2646]) ).

fof(f2646,plain,
    ( $false
    | spl0_97
    | ~ spl0_129
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(resolution,[],[f2634,f682]) ).

fof(f682,plain,
    ( ~ c2_1(a1979)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_97
  <=> c2_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2634,plain,
    ( ! [X0] : c2_1(X0)
    | ~ spl0_129
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2633,f2599]) ).

fof(f2599,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f890,f2531]) ).

fof(f2531,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f877,f868]) ).

fof(f2633,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_129
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f843,f2598]) ).

fof(f2598,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f922,f2531]) ).

fof(f922,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f921,plain,
    ( spl0_146
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f843,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2632,plain,
    ( spl0_33
    | ~ spl0_47
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2631]) ).

fof(f2631,plain,
    ( $false
    | spl0_33
    | ~ spl0_47
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2630,f362]) ).

fof(f362,plain,
    ( ~ c2_1(a1973)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_33
  <=> c2_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2630,plain,
    ( c2_1(a1973)
    | ~ spl0_47
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_140 ),
    inference(resolution,[],[f2599,f432]) ).

fof(f432,plain,
    ( c1_1(a1973)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_47
  <=> c1_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f2606,plain,
    ( ~ spl0_102
    | spl0_161
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2570,f880,f710,f1723,f705]) ).

fof(f705,plain,
    ( spl0_102
  <=> c3_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1723,plain,
    ( spl0_161
  <=> c0_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f710,plain,
    ( spl0_103
  <=> c1_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f880,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2570,plain,
    ( c0_1(a1970)
    | ~ c3_1(a1970)
    | ~ spl0_103
    | ~ spl0_138 ),
    inference(resolution,[],[f881,f712]) ).

fof(f712,plain,
    ( c1_1(a1970)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f881,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f2595,plain,
    ( spl0_90
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2594,f880,f720,f700,f645]) ).

fof(f645,plain,
    ( spl0_90
  <=> c0_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f700,plain,
    ( spl0_101
  <=> c3_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f720,plain,
    ( spl0_105
  <=> c1_1(a1998) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f2594,plain,
    ( c0_1(a1998)
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2572,f702]) ).

fof(f702,plain,
    ( c3_1(a1998)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f2572,plain,
    ( c0_1(a1998)
    | ~ c3_1(a1998)
    | ~ spl0_105
    | ~ spl0_138 ),
    inference(resolution,[],[f881,f722]) ).

fof(f722,plain,
    ( c1_1(a1998)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2586,plain,
    ( ~ spl0_167
    | spl0_30
    | ~ spl0_44
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2585,f880,f415,f345,f2122]) ).

fof(f2585,plain,
    ( ~ c3_1(a1992)
    | spl0_30
    | ~ spl0_44
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2573,f347]) ).

fof(f347,plain,
    ( ~ c0_1(a1992)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f2573,plain,
    ( c0_1(a1992)
    | ~ c3_1(a1992)
    | ~ spl0_44
    | ~ spl0_138 ),
    inference(resolution,[],[f881,f417]) ).

fof(f2562,plain,
    ( spl0_87
    | spl0_96
    | ~ spl0_98
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2561]) ).

fof(f2561,plain,
    ( $false
    | spl0_87
    | spl0_96
    | ~ spl0_98
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2560,f687]) ).

fof(f687,plain,
    ( c3_1(a1990)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl0_98
  <=> c3_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2560,plain,
    ( ~ c3_1(a1990)
    | spl0_87
    | spl0_96
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f2550,f677]) ).

fof(f677,plain,
    ( ~ c2_1(a1990)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl0_96
  <=> c2_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2550,plain,
    ( c2_1(a1990)
    | ~ c3_1(a1990)
    | spl0_87
    | ~ spl0_129 ),
    inference(resolution,[],[f843,f632]) ).

fof(f632,plain,
    ( ~ c1_1(a1990)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl0_87
  <=> c1_1(a1990) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2527,plain,
    ( ~ spl0_101
    | ~ spl0_105
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2526]) ).

fof(f2526,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2516,f702]) ).

fof(f2516,plain,
    ( ~ c3_1(a1998)
    | ~ spl0_105
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(resolution,[],[f2509,f722]) ).

fof(f2509,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f905,f895]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f904,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2490,plain,
    ( ~ spl0_157
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1740,f838,f760,f755,f1178]) ).

fof(f838,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1740,plain,
    ( ~ c3_1(a1996)
    | ~ c1_1(a1996)
    | ~ spl0_113
    | ~ spl0_128 ),
    inference(resolution,[],[f762,f839]) ).

fof(f839,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f2481,plain,
    ( ~ spl0_102
    | ~ spl0_103
    | ~ spl0_129
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2480,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_129
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2468,f712]) ).

fof(f2468,plain,
    ( ~ c1_1(a1970)
    | ~ spl0_102
    | ~ spl0_129
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(resolution,[],[f2465,f707]) ).

fof(f707,plain,
    ( c3_1(a1970)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f2465,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_129
    | ~ spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f905,f2441]) ).

fof(f2441,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f895,f843]) ).

fof(f2407,plain,
    ( ~ spl0_101
    | ~ spl0_105
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2406]) ).

fof(f2406,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2395,f722]) ).

fof(f2395,plain,
    ( ~ c1_1(a1998)
    | ~ spl0_101
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_143 ),
    inference(resolution,[],[f2391,f702]) ).

fof(f2391,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f905,f2359]) ).

fof(f2359,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f859,f2274]) ).

fof(f2274,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f877,f868]) ).

fof(f859,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2405,plain,
    ( ~ spl0_102
    | ~ spl0_103
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2404]) ).

fof(f2404,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2393,f712]) ).

fof(f2393,plain,
    ( ~ c1_1(a1970)
    | ~ spl0_102
    | ~ spl0_133
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_143 ),
    inference(resolution,[],[f2391,f707]) ).

fof(f2367,plain,
    ( spl0_160
    | spl0_89
    | ~ spl0_107
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2366,f863,f730,f640,f1716]) ).

fof(f1716,plain,
    ( spl0_160
  <=> c3_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f640,plain,
    ( spl0_89
  <=> c1_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f730,plain,
    ( spl0_107
  <=> c2_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2366,plain,
    ( c3_1(a1993)
    | spl0_89
    | ~ spl0_107
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2365,f642]) ).

fof(f642,plain,
    ( ~ c1_1(a1993)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f2365,plain,
    ( c1_1(a1993)
    | c3_1(a1993)
    | ~ spl0_107
    | ~ spl0_134 ),
    inference(resolution,[],[f732,f864]) ).

fof(f732,plain,
    ( c2_1(a1993)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f2266,plain,
    ( spl0_97
    | ~ spl0_99
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2265,plain,
    ( $false
    | spl0_97
    | ~ spl0_99
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2251,f682]) ).

fof(f2251,plain,
    ( c2_1(a1979)
    | ~ spl0_99
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(resolution,[],[f2229,f692]) ).

fof(f692,plain,
    ( c3_1(a1979)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl0_99
  <=> c3_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2229,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f843,f895]) ).

fof(f2264,plain,
    ( ~ spl0_100
    | ~ spl0_129
    | ~ spl0_141
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2263]) ).

fof(f2263,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_129
    | ~ spl0_141
    | spl0_158 ),
    inference(subsumption_resolution,[],[f2250,f1241]) ).

fof(f1241,plain,
    ( ~ c2_1(a1983)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f2250,plain,
    ( c2_1(a1983)
    | ~ spl0_100
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(resolution,[],[f2229,f697]) ).

fof(f2213,plain,
    ( spl0_97
    | ~ spl0_99
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2212]) ).

fof(f2212,plain,
    ( $false
    | spl0_97
    | ~ spl0_99
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2197,f682]) ).

fof(f2197,plain,
    ( c2_1(a1979)
    | ~ spl0_99
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(resolution,[],[f2130,f692]) ).

fof(f2130,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f843,f2065]) ).

fof(f2065,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_128
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f881,f839]) ).

fof(f2165,plain,
    ( spl0_146
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2157,f945,f889,f867,f830,f921]) ).

fof(f945,plain,
    ( spl0_151
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2157,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(resolution,[],[f2127,f946]) ).

fof(f946,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f2127,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f890,f2066]) ).

fof(f2066,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f831,f868]) ).

fof(f2135,plain,
    ( spl0_31
    | ~ spl0_41
    | ~ spl0_53
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f2134]) ).

fof(f2134,plain,
    ( $false
    | spl0_31
    | ~ spl0_41
    | ~ spl0_53
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2133,f462]) ).

fof(f462,plain,
    ( c2_1(a2001)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl0_53
  <=> c2_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2133,plain,
    ( ~ c2_1(a2001)
    | spl0_31
    | ~ spl0_41
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2132,f352]) ).

fof(f352,plain,
    ( ~ c0_1(a2001)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl0_31
  <=> c0_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2132,plain,
    ( c0_1(a2001)
    | ~ c2_1(a2001)
    | ~ spl0_41
    | ~ spl0_131 ),
    inference(resolution,[],[f402,f851]) ).

fof(f402,plain,
    ( c3_1(a2001)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl0_41
  <=> c3_1(a2001) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2125,plain,
    ( ~ spl0_167
    | spl0_35
    | ~ spl0_44
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2044,f894,f415,f370,f2122]) ).

fof(f2044,plain,
    ( c2_1(a1992)
    | ~ c3_1(a1992)
    | ~ spl0_44
    | ~ spl0_141 ),
    inference(resolution,[],[f895,f417]) ).

fof(f2057,plain,
    ( spl0_33
    | ~ spl0_40
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2056]) ).

fof(f2056,plain,
    ( $false
    | spl0_33
    | ~ spl0_40
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2055,f397]) ).

fof(f397,plain,
    ( c3_1(a1973)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_40
  <=> c3_1(a1973) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2055,plain,
    ( ~ c3_1(a1973)
    | spl0_33
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2049,f362]) ).

fof(f2049,plain,
    ( c2_1(a1973)
    | ~ c3_1(a1973)
    | ~ spl0_47
    | ~ spl0_141 ),
    inference(resolution,[],[f895,f432]) ).

fof(f2053,plain,
    ( spl0_90
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_131
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2052]) ).

fof(f2052,plain,
    ( $false
    | spl0_90
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_131
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2051,f702]) ).

fof(f2051,plain,
    ( ~ c3_1(a1998)
    | spl0_90
    | ~ spl0_101
    | ~ spl0_105
    | ~ spl0_131
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2043,f1800]) ).

fof(f1800,plain,
    ( ~ c2_1(a1998)
    | spl0_90
    | ~ spl0_101
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1790,f647]) ).

fof(f647,plain,
    ( ~ c0_1(a1998)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f1790,plain,
    ( c0_1(a1998)
    | ~ c2_1(a1998)
    | ~ spl0_101
    | ~ spl0_131 ),
    inference(resolution,[],[f851,f702]) ).

fof(f2043,plain,
    ( c2_1(a1998)
    | ~ c3_1(a1998)
    | ~ spl0_105
    | ~ spl0_141 ),
    inference(resolution,[],[f895,f722]) ).

fof(f2035,plain,
    ( spl0_111
    | ~ spl0_113
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2034]) ).

fof(f2034,plain,
    ( $false
    | spl0_111
    | ~ spl0_113
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2026,f752]) ).

fof(f2026,plain,
    ( c2_1(a1996)
    | ~ spl0_113
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(resolution,[],[f2011,f762]) ).

fof(f2011,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f877,f868]) ).

fof(f2033,plain,
    ( spl0_34
    | ~ spl0_49
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2032]) ).

fof(f2032,plain,
    ( $false
    | spl0_34
    | ~ spl0_49
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2025,f367]) ).

fof(f367,plain,
    ( ~ c2_1(a2012)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_34
  <=> c2_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2025,plain,
    ( c2_1(a2012)
    | ~ spl0_49
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(resolution,[],[f2011,f442]) ).

fof(f442,plain,
    ( c0_1(a2012)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl0_49
  <=> c0_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2021,plain,
    ( spl0_62
    | spl0_67
    | ~ spl0_70
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2020]) ).

fof(f2020,plain,
    ( $false
    | spl0_62
    | spl0_67
    | ~ spl0_70
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2019,f547]) ).

fof(f2019,plain,
    ( ~ c1_1(a1977)
    | spl0_62
    | spl0_67
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2017,f532]) ).

fof(f2017,plain,
    ( c2_1(a1977)
    | ~ c1_1(a1977)
    | spl0_62
    | spl0_67
    | ~ spl0_135
    | ~ spl0_146 ),
    inference(resolution,[],[f1895,f868]) ).

fof(f1895,plain,
    ( c0_1(a1977)
    | spl0_62
    | spl0_67
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1888,f532]) ).

fof(f1888,plain,
    ( c2_1(a1977)
    | c0_1(a1977)
    | spl0_62
    | ~ spl0_146 ),
    inference(resolution,[],[f922,f507]) ).

fof(f2016,plain,
    ( ~ spl0_107
    | spl0_91
    | ~ spl0_131
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2013,f1716,f850,f650,f730]) ).

fof(f650,plain,
    ( spl0_91
  <=> c0_1(a1993) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2013,plain,
    ( ~ c2_1(a1993)
    | spl0_91
    | ~ spl0_131
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f2012,f652]) ).

fof(f652,plain,
    ( ~ c0_1(a1993)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f2012,plain,
    ( c0_1(a1993)
    | ~ c2_1(a1993)
    | ~ spl0_131
    | ~ spl0_160 ),
    inference(resolution,[],[f1717,f851]) ).

fof(f1717,plain,
    ( c3_1(a1993)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1716]) ).

fof(f2010,plain,
    ( ~ spl0_125
    | spl0_164
    | ~ spl0_124
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1793,f850,f815,f2007,f820]) ).

fof(f1793,plain,
    ( c0_1(a1987)
    | ~ c2_1(a1987)
    | ~ spl0_124
    | ~ spl0_131 ),
    inference(resolution,[],[f851,f817]) ).

fof(f2005,plain,
    ( ~ spl0_112
    | ~ spl0_113
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2004]) ).

fof(f2004,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1997,f757]) ).

fof(f1997,plain,
    ( ~ c3_1(a1996)
    | ~ spl0_113
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(resolution,[],[f1989,f762]) ).

fof(f1989,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_128
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f885,f839]) ).

fof(f1988,plain,
    ( spl0_160
    | spl0_89
    | spl0_91
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1975,f945,f650,f640,f1716]) ).

fof(f1975,plain,
    ( c3_1(a1993)
    | spl0_89
    | spl0_91
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1964,f652]) ).

fof(f1964,plain,
    ( c0_1(a1993)
    | c3_1(a1993)
    | spl0_89
    | ~ spl0_151 ),
    inference(resolution,[],[f946,f642]) ).

fof(f1982,plain,
    ( spl0_63
    | spl0_64
    | spl0_66
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1978,f945,f525,f515,f510]) ).

fof(f510,plain,
    ( spl0_63
  <=> c3_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f515,plain,
    ( spl0_64
  <=> c1_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f525,plain,
    ( spl0_66
  <=> c0_1(a2000) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1978,plain,
    ( c3_1(a2000)
    | spl0_64
    | spl0_66
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1971,f527]) ).

fof(f527,plain,
    ( ~ c0_1(a2000)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1971,plain,
    ( c0_1(a2000)
    | c3_1(a2000)
    | spl0_64
    | ~ spl0_151 ),
    inference(resolution,[],[f946,f517]) ).

fof(f517,plain,
    ( ~ c1_1(a2000)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f1957,plain,
    ( spl0_25
    | spl0_26
    | spl0_39
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1956]) ).

fof(f1956,plain,
    ( $false
    | spl0_25
    | spl0_26
    | spl0_39
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1955,f322]) ).

fof(f322,plain,
    ( ~ c3_1(a1969)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl0_25
  <=> c3_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1955,plain,
    ( c3_1(a1969)
    | spl0_26
    | spl0_39
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1947,f392]) ).

fof(f392,plain,
    ( ~ c2_1(a1969)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl0_39
  <=> c2_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1947,plain,
    ( c2_1(a1969)
    | c3_1(a1969)
    | spl0_26
    | ~ spl0_150 ),
    inference(resolution,[],[f942,f327]) ).

fof(f327,plain,
    ( ~ c1_1(a1969)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_26
  <=> c1_1(a1969) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f942,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_150
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1952,plain,
    ( spl0_23
    | spl0_34
    | ~ spl0_49
    | ~ spl0_135
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1951]) ).

fof(f1951,plain,
    ( $false
    | spl0_23
    | spl0_34
    | ~ spl0_49
    | ~ spl0_135
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1950,f312]) ).

fof(f312,plain,
    ( ~ c3_1(a2012)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl0_23
  <=> c3_1(a2012) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1950,plain,
    ( c3_1(a2012)
    | spl0_34
    | ~ spl0_49
    | ~ spl0_135
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1934,f367]) ).

fof(f1934,plain,
    ( c2_1(a2012)
    | c3_1(a2012)
    | spl0_34
    | ~ spl0_49
    | ~ spl0_135
    | ~ spl0_150 ),
    inference(resolution,[],[f942,f1874]) ).

fof(f1874,plain,
    ( ~ c1_1(a2012)
    | spl0_34
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1863,f367]) ).

fof(f1863,plain,
    ( c2_1(a2012)
    | ~ c1_1(a2012)
    | ~ spl0_49
    | ~ spl0_135 ),
    inference(resolution,[],[f868,f442]) ).

fof(f1931,plain,
    ( spl0_63
    | spl0_66
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1930]) ).

fof(f1930,plain,
    ( $false
    | spl0_63
    | spl0_66
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1919,f527]) ).

fof(f1919,plain,
    ( c0_1(a2000)
    | spl0_63
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(resolution,[],[f1902,f512]) ).

fof(f512,plain,
    ( ~ c3_1(a2000)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f1902,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f934,f922]) ).

fof(f1925,plain,
    ( spl0_91
    | ~ spl0_146
    | ~ spl0_148
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f1924]) ).

fof(f1924,plain,
    ( $false
    | spl0_91
    | ~ spl0_146
    | ~ spl0_148
    | spl0_160 ),
    inference(subsumption_resolution,[],[f1912,f652]) ).

fof(f1912,plain,
    ( c0_1(a1993)
    | ~ spl0_146
    | ~ spl0_148
    | spl0_160 ),
    inference(resolution,[],[f1902,f1718]) ).

fof(f1718,plain,
    ( ~ c3_1(a1993)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1716]) ).

fof(f1859,plain,
    ( ~ spl0_77
    | ~ spl0_68
    | ~ spl0_73
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1856,f838,f834,f560,f535,f580]) ).

fof(f834,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1856,plain,
    ( ~ c2_1(a2005)
    | ~ spl0_68
    | ~ spl0_73
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1855,f537]) ).

fof(f1855,plain,
    ( ~ c3_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_68
    | ~ spl0_73
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(resolution,[],[f1827,f835]) ).

fof(f835,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f1827,plain,
    ( ~ c1_1(a2005)
    | ~ spl0_68
    | ~ spl0_73
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1826,f537]) ).

fof(f1826,plain,
    ( ~ c3_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_73
    | ~ spl0_128 ),
    inference(resolution,[],[f562,f839]) ).

fof(f1850,plain,
    ( spl0_90
    | ~ spl0_101
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1849]) ).

fof(f1849,plain,
    ( $false
    | spl0_90
    | ~ spl0_101
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1839,f647]) ).

fof(f1839,plain,
    ( c0_1(a1998)
    | ~ spl0_101
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(resolution,[],[f1834,f702]) ).

fof(f1834,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f859,f851]) ).

fof(f1833,plain,
    ( ~ spl0_108
    | spl0_161
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1789,f850,f705,f1723,f735]) ).

fof(f735,plain,
    ( spl0_108
  <=> c2_1(a1970) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1789,plain,
    ( c0_1(a1970)
    | ~ c2_1(a1970)
    | ~ spl0_102
    | ~ spl0_131 ),
    inference(resolution,[],[f851,f707]) ).

fof(f1787,plain,
    ( ~ spl0_102
    | ~ spl0_108
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1786]) ).

fof(f1786,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_108
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1778,f737]) ).

fof(f737,plain,
    ( c2_1(a1970)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f1778,plain,
    ( ~ c2_1(a1970)
    | ~ spl0_102
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(resolution,[],[f1727,f707]) ).

fof(f1727,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f905,f835]) ).

fof(f1775,plain,
    ( ~ spl0_103
    | ~ spl0_108
    | ~ spl0_126
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1774]) ).

fof(f1774,plain,
    ( $false
    | ~ spl0_103
    | ~ spl0_108
    | ~ spl0_126
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1766,f737]) ).

fof(f1766,plain,
    ( ~ c2_1(a1970)
    | ~ spl0_103
    | ~ spl0_126
    | ~ spl0_147 ),
    inference(resolution,[],[f1721,f712]) ).

fof(f1721,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f926,f831]) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f925,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1759,plain,
    ( spl0_89
    | ~ spl0_107
    | ~ spl0_127
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | spl0_89
    | ~ spl0_107
    | ~ spl0_127
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1747,f642]) ).

fof(f1747,plain,
    ( c1_1(a1993)
    | ~ spl0_107
    | ~ spl0_127
    | ~ spl0_134 ),
    inference(resolution,[],[f1672,f732]) ).

fof(f1672,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_127
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f864,f835]) ).

fof(f1726,plain,
    ( ~ spl0_161
    | ~ spl0_103
    | ~ spl0_108
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1516,f830,f735,f710,f1723]) ).

fof(f1516,plain,
    ( ~ c1_1(a1970)
    | ~ c0_1(a1970)
    | ~ spl0_108
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f737]) ).

fof(f1719,plain,
    ( ~ spl0_107
    | ~ spl0_160
    | spl0_89
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1418,f834,f640,f1716,f730]) ).

fof(f1418,plain,
    ( ~ c3_1(a1993)
    | ~ c2_1(a1993)
    | spl0_89
    | ~ spl0_127 ),
    inference(resolution,[],[f642,f835]) ).

fof(f1714,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1445,f838,f555,f540,f550]) ).

fof(f1445,plain,
    ( ~ c3_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_72
    | ~ spl0_128 ),
    inference(resolution,[],[f839,f557]) ).

fof(f1670,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1666,f867,f830,f235,f230]) ).

fof(f230,plain,
    ( spl0_7
  <=> c1_1(a1981) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f235,plain,
    ( spl0_8
  <=> c0_1(a1981) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1666,plain,
    ( ~ c1_1(a1981)
    | ~ spl0_8
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(resolution,[],[f237,f1531]) ).

fof(f1531,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f868,f831]) ).

fof(f237,plain,
    ( c0_1(a1981)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f1662,plain,
    ( ~ spl0_43
    | ~ spl0_52
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1661]) ).

fof(f1661,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_52
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1651,f412]) ).

fof(f1651,plain,
    ( ~ c1_1(a2003)
    | ~ spl0_52
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(resolution,[],[f1647,f457]) ).

fof(f1647,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_126
    | ~ spl0_135
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f926,f1531]) ).

fof(f1612,plain,
    ( ~ spl0_125
    | spl0_123
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1611,f834,f815,f810,f820]) ).

fof(f1611,plain,
    ( ~ c2_1(a1987)
    | spl0_123
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1510,f817]) ).

fof(f1510,plain,
    ( ~ c3_1(a1987)
    | ~ c2_1(a1987)
    | spl0_123
    | ~ spl0_127 ),
    inference(resolution,[],[f812,f835]) ).

fof(f1610,plain,
    ( ~ spl0_119
    | ~ spl0_121
    | ~ spl0_126
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1609]) ).

fof(f1609,plain,
    ( $false
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_126
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1608,f802]) ).

fof(f802,plain,
    ( c2_1(a1971)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl0_121
  <=> c2_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1608,plain,
    ( ~ c2_1(a1971)
    | ~ spl0_119
    | ~ spl0_126
    | ~ spl0_145 ),
    inference(resolution,[],[f1604,f792]) ).

fof(f792,plain,
    ( c0_1(a1971)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_119
  <=> c0_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1604,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f914,f831]) ).

fof(f1593,plain,
    ( spl0_89
    | spl0_91
    | ~ spl0_107
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1592]) ).

fof(f1592,plain,
    ( $false
    | spl0_89
    | spl0_91
    | ~ spl0_107
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1591,f642]) ).

fof(f1591,plain,
    ( c1_1(a1993)
    | spl0_91
    | ~ spl0_107
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1585,f652]) ).

fof(f1585,plain,
    ( c0_1(a1993)
    | c1_1(a1993)
    | ~ spl0_107
    | ~ spl0_144 ),
    inference(resolution,[],[f910,f732]) ).

fof(f1545,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1537,f867,f830,f555,f550]) ).

fof(f1537,plain,
    ( ~ c1_1(a1972)
    | ~ spl0_72
    | ~ spl0_126
    | ~ spl0_135 ),
    inference(resolution,[],[f1531,f557]) ).

fof(f1482,plain,
    ( spl0_95
    | spl0_97
    | ~ spl0_99
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1481]) ).

fof(f1481,plain,
    ( $false
    | spl0_95
    | spl0_97
    | ~ spl0_99
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1480,f672]) ).

fof(f672,plain,
    ( ~ c0_1(a1979)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_95
  <=> c0_1(a1979) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1480,plain,
    ( c0_1(a1979)
    | spl0_97
    | ~ spl0_99
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1470,f682]) ).

fof(f1470,plain,
    ( c2_1(a1979)
    | c0_1(a1979)
    | ~ spl0_99
    | ~ spl0_133 ),
    inference(resolution,[],[f859,f692]) ).

fof(f1478,plain,
    ( spl0_92
    | ~ spl0_100
    | ~ spl0_133
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1477,plain,
    ( $false
    | spl0_92
    | ~ spl0_100
    | ~ spl0_133
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1476,f657]) ).

fof(f657,plain,
    ( ~ c0_1(a1983)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f1476,plain,
    ( c0_1(a1983)
    | ~ spl0_100
    | ~ spl0_133
    | spl0_158 ),
    inference(subsumption_resolution,[],[f1468,f1241]) ).

fof(f1468,plain,
    ( c2_1(a1983)
    | c0_1(a1983)
    | ~ spl0_100
    | ~ spl0_133 ),
    inference(resolution,[],[f859,f697]) ).

fof(f1460,plain,
    ( spl0_88
    | spl0_92
    | ~ spl0_100
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1459]) ).

fof(f1459,plain,
    ( $false
    | spl0_88
    | spl0_92
    | ~ spl0_100
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1458,f697]) ).

fof(f1458,plain,
    ( ~ c3_1(a1983)
    | spl0_88
    | spl0_92
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1452,f657]) ).

fof(f1452,plain,
    ( c0_1(a1983)
    | ~ c3_1(a1983)
    | spl0_88
    | ~ spl0_132 ),
    inference(resolution,[],[f855,f637]) ).

fof(f1407,plain,
    ( spl0_67
    | ~ spl0_70
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | spl0_67
    | ~ spl0_70
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1397,f532]) ).

fof(f1397,plain,
    ( c2_1(a1977)
    | ~ spl0_70
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(resolution,[],[f1380,f547]) ).

fof(f1380,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f890,f868]) ).

fof(f1405,plain,
    ( spl0_35
    | ~ spl0_44
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1404,plain,
    ( $false
    | spl0_35
    | ~ spl0_44
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1391,f372]) ).

fof(f1391,plain,
    ( c2_1(a1992)
    | ~ spl0_44
    | ~ spl0_135
    | ~ spl0_140 ),
    inference(resolution,[],[f1380,f417]) ).

fof(f1338,plain,
    ( spl0_24
    | ~ spl0_43
    | ~ spl0_52
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1337,plain,
    ( $false
    | spl0_24
    | ~ spl0_43
    | ~ spl0_52
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1336,f412]) ).

fof(f1336,plain,
    ( ~ c1_1(a2003)
    | spl0_24
    | ~ spl0_52
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1324,f317]) ).

fof(f317,plain,
    ( ~ c3_1(a2003)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl0_24
  <=> c3_1(a2003) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1324,plain,
    ( c3_1(a2003)
    | ~ c1_1(a2003)
    | ~ spl0_52
    | ~ spl0_136 ),
    inference(resolution,[],[f873,f457]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1335,plain,
    ( ~ spl0_46
    | ~ spl0_50
    | ~ spl0_51
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1334,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_50
    | ~ spl0_51
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1333,f427]) ).

fof(f427,plain,
    ( c1_1(a1978)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_46
  <=> c1_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1333,plain,
    ( ~ c1_1(a1978)
    | ~ spl0_50
    | ~ spl0_51
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1321,f1308]) ).

fof(f1308,plain,
    ( ~ c3_1(a1978)
    | ~ spl0_50
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(resolution,[],[f447,f1142]) ).

fof(f1142,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f839,f997]) ).

fof(f997,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f843,f835]) ).

fof(f447,plain,
    ( c0_1(a1978)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_50
  <=> c0_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1321,plain,
    ( c3_1(a1978)
    | ~ c1_1(a1978)
    | ~ spl0_51
    | ~ spl0_136 ),
    inference(resolution,[],[f873,f452]) ).

fof(f452,plain,
    ( c2_1(a1978)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl0_51
  <=> c2_1(a1978) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1319,plain,
    ( spl0_37
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1318]) ).

fof(f1318,plain,
    ( $false
    | spl0_37
    | ~ spl0_45
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1317,f422]) ).

fof(f422,plain,
    ( c1_1(a2014)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_45
  <=> c1_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1317,plain,
    ( ~ c1_1(a2014)
    | spl0_37
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1314,f382]) ).

fof(f382,plain,
    ( ~ c2_1(a2014)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_37
  <=> c2_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1314,plain,
    ( c2_1(a2014)
    | ~ c1_1(a2014)
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(resolution,[],[f868,f437]) ).

fof(f437,plain,
    ( c0_1(a2014)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl0_48
  <=> c0_1(a2014) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1237,plain,
    ( ~ spl0_100
    | spl0_88
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1235,f842,f834,f635,f695]) ).

fof(f1235,plain,
    ( ~ c3_1(a1983)
    | spl0_88
    | ~ spl0_127
    | ~ spl0_129 ),
    inference(resolution,[],[f637,f997]) ).

fof(f1139,plain,
    ( spl0_111
    | ~ spl0_112
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1117,f894,f842,f834,f755,f750]) ).

fof(f1117,plain,
    ( c2_1(a1996)
    | ~ spl0_112
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(resolution,[],[f1104,f757]) ).

fof(f1104,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f895,f997]) ).

fof(f1100,plain,
    ( spl0_24
    | ~ spl0_52
    | ~ spl0_130
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1090,f933,f846,f455,f315]) ).

fof(f1090,plain,
    ( c3_1(a2003)
    | ~ spl0_52
    | ~ spl0_130
    | ~ spl0_148 ),
    inference(resolution,[],[f1079,f457]) ).

fof(f1079,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_130
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f934,f847]) ).

fof(f1077,plain,
    ( spl0_95
    | ~ spl0_99
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1076,plain,
    ( $false
    | spl0_95
    | ~ spl0_99
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1075,f672]) ).

fof(f1075,plain,
    ( c0_1(a1979)
    | ~ spl0_99
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(resolution,[],[f692,f1029]) ).

fof(f1029,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f881,f997]) ).

fof(f1055,plain,
    ( ~ spl0_50
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1051,f830,f450,f425,f445]) ).

fof(f1051,plain,
    ( ~ c0_1(a1978)
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1044,f427]) ).

fof(f1044,plain,
    ( ~ c1_1(a1978)
    | ~ c0_1(a1978)
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(resolution,[],[f831,f452]) ).

fof(f1023,plain,
    ( ~ spl0_76
    | spl0_61
    | ~ spl0_74
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1016,f846,f565,f500,f575]) ).

fof(f1016,plain,
    ( ~ c2_1(a1991)
    | spl0_61
    | ~ spl0_74
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1008,f567]) ).

fof(f567,plain,
    ( c0_1(a1991)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f1008,plain,
    ( ~ c0_1(a1991)
    | ~ c2_1(a1991)
    | spl0_61
    | ~ spl0_130 ),
    inference(resolution,[],[f847,f502]) ).

fof(f1022,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1021,plain,
    ( $false
    | spl0_117
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1020,f802]) ).

fof(f1020,plain,
    ( ~ c2_1(a1971)
    | spl0_117
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1011,f792]) ).

fof(f1011,plain,
    ( ~ c0_1(a1971)
    | ~ c2_1(a1971)
    | spl0_117
    | ~ spl0_121
    | ~ spl0_127
    | ~ spl0_130 ),
    inference(resolution,[],[f847,f996]) ).

fof(f996,plain,
    ( ~ c3_1(a1971)
    | spl0_117
    | ~ spl0_121
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f992,f802]) ).

fof(f992,plain,
    ( ~ c3_1(a1971)
    | ~ c2_1(a1971)
    | spl0_117
    | ~ spl0_127 ),
    inference(resolution,[],[f835,f782]) ).

fof(f782,plain,
    ( ~ c1_1(a1971)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_117
  <=> c1_1(a1971) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f988,plain,
    ( spl0_151
    | spl0_148
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f201,f872,f933,f945]) ).

fof(f201,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f987,plain,
    ( spl0_150
    | spl0_134
    | spl0_135
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f201,f867,f863,f941]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f985,plain,
    ( spl0_151
    | spl0_145
    | spl0_129
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f201,f842,f913,f945]) ).

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

fof(f984,plain,
    ( spl0_137
    | spl0_145
    | spl0_127
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f201,f834,f913,f876]) ).

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

fof(f982,plain,
    ( spl0_151
    | spl0_126
    | spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f201,f858,f830,f945]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f979,plain,
    ( spl0_152
    | spl0_133
    | spl0_129
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f201,f842,f858,f950]) ).

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

fof(f978,plain,
    ( spl0_137
    | spl0_141
    | spl0_127
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f201,f834,f894,f876]) ).

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

fof(f971,plain,
    ( spl0_130
    | spl0_128
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f201,f805,f838,f846]) ).

fof(f805,plain,
    ( spl0_122
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

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

fof(f970,plain,
    ( spl0_151
    | spl0_135
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f201,f765,f867,f945]) ).

fof(f765,plain,
    ( spl0_114
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f964,plain,
    ( spl0_146
    | spl0_151
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f201,f590,f945,f921]) ).

fof(f590,plain,
    ( spl0_79
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp27
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f963,plain,
    ( spl0_148
    | spl0_152
    | spl0_85
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f201,f620,f950,f933]) ).

fof(f620,plain,
    ( spl0_85
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f961,plain,
    ( spl0_144
    | spl0_135
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f201,f610,f867,f909]) ).

fof(f610,plain,
    ( spl0_83
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f955,plain,
    ( spl0_147
    | spl0_138
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f201,f610,f880,f925]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f953,plain,
    ( spl0_130
    | spl0_132
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f201,f470,f854,f846]) ).

fof(f470,plain,
    ( spl0_55
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f948,plain,
    ( spl0_148
    | spl0_138
    | spl0_57
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f201,f480,f880,f933]) ).

fof(f480,plain,
    ( spl0_57
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f947,plain,
    ( spl0_151
    | spl0_143
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f201,f475,f904,f945]) ).

fof(f475,plain,
    ( spl0_56
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f943,plain,
    ( spl0_150
    | spl0_144
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f201,f270,f909,f941]) ).

fof(f270,plain,
    ( spl0_15
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f935,plain,
    ( spl0_148
    | spl0_139
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f201,f285,f884,f933]) ).

fof(f285,plain,
    ( spl0_18
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f930,plain,
    ( spl0_131
    | spl0_139
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f201,f275,f884,f850]) ).

fof(f275,plain,
    ( spl0_16
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp19
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f929,plain,
    ( spl0_133
    | spl0_138
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f201,f245,f880,f858]) ).

fof(f245,plain,
    ( spl0_10
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f928,plain,
    ( spl0_128
    | spl0_141
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f201,f290,f894,f838]) ).

fof(f290,plain,
    ( spl0_19
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f927,plain,
    ( spl0_147
    | spl0_140
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f201,f205,f889,f925]) ).

fof(f205,plain,
    ( spl0_2
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f923,plain,
    ( spl0_146
    | spl0_143
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f201,f904,f921]) ).

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

fof(f919,plain,
    ( spl0_135
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f201,f850,f867]) ).

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

fof(f917,plain,
    ( spl0_129
    | spl0_122
    | spl0_114
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f201,f765,f805,f842]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp1
      | hskp10
      | ~ c3_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f911,plain,
    ( spl0_144
    | spl0_115
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f201,f590,f770,f909]) ).

fof(f770,plain,
    ( spl0_115
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f130,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp27
      | hskp4
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f907,plain,
    ( spl0_130
    | spl0_115
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f201,f605,f770,f846]) ).

fof(f605,plain,
    ( spl0_82
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp4
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f898,plain,
    ( spl0_134
    | spl0_83
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f201,f605,f610,f863]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp3
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f897,plain,
    ( spl0_126
    | spl0_78
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f201,f610,f585,f830]) ).

fof(f585,plain,
    ( spl0_78
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp8
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f896,plain,
    ( spl0_141
    | spl0_81
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f201,f615,f600,f894]) ).

fof(f600,plain,
    ( spl0_81
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f615,plain,
    ( spl0_84
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp11
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f892,plain,
    ( spl0_138
    | spl0_115
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f201,f485,f770,f880]) ).

fof(f485,plain,
    ( spl0_58
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp4
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f891,plain,
    ( spl0_140
    | spl0_78
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f201,f475,f585,f889]) ).

fof(f132,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp8
      | ~ c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f886,plain,
    ( spl0_139
    | spl0_85
    | spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f201,f465,f620,f884]) ).

fof(f465,plain,
    ( spl0_54
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp15
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f878,plain,
    ( spl0_137
    | spl0_54
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f134,f201,f470,f465,f876]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp30
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f874,plain,
    ( spl0_136
    | spl0_122
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f201,f285,f805,f872]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp10
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f865,plain,
    ( spl0_134
    | spl0_80
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f201,f255,f595,f863]) ).

fof(f595,plain,
    ( spl0_80
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f255,plain,
    ( spl0_12
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp6
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f861,plain,
    ( spl0_130
    | spl0_84
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f201,f295,f615,f846]) ).

fof(f295,plain,
    ( spl0_20
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f852,plain,
    ( spl0_131
    | spl0_57
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f201,f290,f480,f850]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f844,plain,
    ( spl0_129
    | spl0_14
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f201,f270,f265,f842]) ).

fof(f265,plain,
    ( spl0_14
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp22
      | ~ c3_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f836,plain,
    ( spl0_127
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f201,f805,f834]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f832,plain,
    ( spl0_126
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f201,f605,f830]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f828,plain,
    ( spl0_79
    | spl0_80
    | spl0_54 ),
    inference(avatar_split_clause,[],[f34,f465,f595,f590]) ).

fof(f34,axiom,
    ( hskp30
    | hskp6
    | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f825,plain,
    ( spl0_110
    | spl0_85
    | spl0_16 ),
    inference(avatar_split_clause,[],[f35,f275,f620,f745]) ).

fof(f745,plain,
    ( spl0_110
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f35,axiom,
    ( hskp19
    | hskp15
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f824,plain,
    ( spl0_78
    | spl0_55
    | spl0_12 ),
    inference(avatar_split_clause,[],[f33,f255,f470,f585]) ).

fof(f33,axiom,
    ( hskp23
    | hskp5
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f823,plain,
    ( spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f69,f805,f820]) ).

fof(f69,axiom,
    ( ~ hskp10
    | c2_1(a1987) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f818,plain,
    ( spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f70,f805,f815]) ).

fof(f70,axiom,
    ( ~ hskp10
    | c3_1(a1987) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f813,plain,
    ( ~ spl0_123
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f112,f805,f810]) ).

fof(f112,axiom,
    ( ~ hskp10
    | ~ c1_1(a1987) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f803,plain,
    ( spl0_121
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f83,f765,f800]) ).

fof(f83,axiom,
    ( ~ hskp1
    | c2_1(a1971) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f798,plain,
    ( spl0_120
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f77,f770,f795]) ).

fof(f77,axiom,
    ( ~ hskp4
    | c0_1(a1975) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f793,plain,
    ( spl0_119
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f82,f765,f790]) ).

fof(f82,axiom,
    ( ~ hskp1
    | c0_1(a1971) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f788,plain,
    ( ~ spl0_118
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f123,f770,f785]) ).

fof(f123,axiom,
    ( ~ hskp4
    | ~ c2_1(a1975) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f783,plain,
    ( ~ spl0_117
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f126,f765,f780]) ).

fof(f126,axiom,
    ( ~ hskp1
    | ~ c1_1(a1971) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f778,plain,
    ( ~ spl0_116
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f122,f770,f775]) ).

fof(f122,axiom,
    ( ~ hskp4
    | ~ c1_1(a1975) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f763,plain,
    ( spl0_113
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f61,f745,f760]) ).

fof(f61,axiom,
    ( ~ hskp16
    | c0_1(a1996) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f758,plain,
    ( spl0_112
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f62,f745,f755]) ).

fof(f62,axiom,
    ( ~ hskp16
    | c3_1(a1996) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f753,plain,
    ( ~ spl0_111
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f102,f745,f750]) ).

fof(f102,axiom,
    ( ~ hskp16
    | ~ c2_1(a1996) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f748,plain,
    ( spl0_1
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f15,f745,f201]) ).

fof(f15,axiom,
    ( ~ hskp16
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f743,plain,
    ( spl0_109
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f79,f610,f740]) ).

fof(f79,axiom,
    ( ~ hskp3
    | c2_1(a1974) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f738,plain,
    ( spl0_108
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f47,f590,f735]) ).

fof(f47,axiom,
    ( ~ hskp27
    | c2_1(a1970) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f733,plain,
    ( spl0_107
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f63,f620,f730]) ).

fof(f63,axiom,
    ( ~ hskp15
    | c2_1(a1993) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f728,plain,
    ( spl0_106
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f68,f600,f725]) ).

fof(f68,axiom,
    ( ~ hskp11
    | c2_1(a1989) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f723,plain,
    ( spl0_105
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f59,f605,f720]) ).

fof(f59,axiom,
    ( ~ hskp17
    | c1_1(a1998) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f713,plain,
    ( spl0_103
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f46,f590,f710]) ).

fof(f46,axiom,
    ( ~ hskp27
    | c1_1(a1970) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f708,plain,
    ( spl0_102
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f48,f590,f705]) ).

fof(f48,axiom,
    ( ~ hskp27
    | c3_1(a1970) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f703,plain,
    ( spl0_101
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f60,f605,f700]) ).

fof(f60,axiom,
    ( ~ hskp17
    | c3_1(a1998) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f698,plain,
    ( spl0_100
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f72,f585,f695]) ).

fof(f72,axiom,
    ( ~ hskp8
    | c3_1(a1983) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f693,plain,
    ( spl0_99
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f75,f595,f690]) ).

fof(f75,axiom,
    ( ~ hskp6
    | c3_1(a1979) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f688,plain,
    ( spl0_98
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f67,f615,f685]) ).

fof(f67,axiom,
    ( ~ hskp12
    | c3_1(a1990) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f683,plain,
    ( ~ spl0_97
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f119,f595,f680]) ).

fof(f119,axiom,
    ( ~ hskp6
    | ~ c2_1(a1979) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f678,plain,
    ( ~ spl0_96
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f109,f615,f675]) ).

fof(f109,axiom,
    ( ~ hskp12
    | ~ c2_1(a1990) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f673,plain,
    ( ~ spl0_95
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f118,f595,f670]) ).

fof(f118,axiom,
    ( ~ hskp6
    | ~ c0_1(a1979) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f668,plain,
    ( ~ spl0_94
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f124,f610,f665]) ).

fof(f124,axiom,
    ( ~ hskp3
    | ~ c0_1(a1974) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f663,plain,
    ( ~ spl0_93
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f110,f600,f660]) ).

fof(f110,axiom,
    ( ~ hskp11
    | ~ c0_1(a1989) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f658,plain,
    ( ~ spl0_92
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f115,f585,f655]) ).

fof(f115,axiom,
    ( ~ hskp8
    | ~ c0_1(a1983) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f653,plain,
    ( ~ spl0_91
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f103,f620,f650]) ).

fof(f103,axiom,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f648,plain,
    ( ~ spl0_90
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f101,f605,f645]) ).

fof(f101,axiom,
    ( ~ hskp17
    | ~ c0_1(a1998) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f643,plain,
    ( ~ spl0_89
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f104,f620,f640]) ).

fof(f104,axiom,
    ( ~ hskp15
    | ~ c1_1(a1993) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f638,plain,
    ( ~ spl0_88
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f116,f585,f635]) ).

fof(f116,axiom,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f633,plain,
    ( ~ spl0_87
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f108,f615,f630]) ).

fof(f108,axiom,
    ( ~ hskp12
    | ~ c1_1(a1990) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f623,plain,
    ( spl0_1
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f16,f620,f201]) ).

fof(f16,axiom,
    ( ~ hskp15
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

fof(f583,plain,
    ( spl0_77
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f38,f465,f580]) ).

fof(f38,axiom,
    ( ~ hskp30
    | c2_1(a2005) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f578,plain,
    ( spl0_76
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f66,f480,f575]) ).

fof(f66,axiom,
    ( ~ hskp13
    | c2_1(a1991) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f568,plain,
    ( spl0_74
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f65,f480,f565]) ).

fof(f65,axiom,
    ( ~ hskp13
    | c0_1(a1991) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f563,plain,
    ( spl0_73
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f37,f465,f560]) ).

fof(f37,axiom,
    ( ~ hskp30
    | c0_1(a2005) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f558,plain,
    ( spl0_72
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f43,f475,f555]) ).

fof(f43,axiom,
    ( ~ hskp28
    | c0_1(a1972) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f553,plain,
    ( spl0_71
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f44,f475,f550]) ).

fof(f44,axiom,
    ( ~ hskp28
    | c1_1(a1972) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f548,plain,
    ( spl0_70
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f76,f470,f545]) ).

fof(f76,axiom,
    ( ~ hskp5
    | c1_1(a1977) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f543,plain,
    ( spl0_69
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f45,f475,f540]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c3_1(a1972) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f538,plain,
    ( spl0_68
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f39,f465,f535]) ).

fof(f39,axiom,
    ( ~ hskp30
    | c3_1(a2005) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f533,plain,
    ( ~ spl0_67
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f120,f470,f530]) ).

fof(f120,axiom,
    ( ~ hskp5
    | ~ c2_1(a1977) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f528,plain,
    ( ~ spl0_66
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f98,f485,f525]) ).

fof(f98,axiom,
    ( ~ hskp18
    | ~ c0_1(a2000) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f518,plain,
    ( ~ spl0_64
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f99,f485,f515]) ).

fof(f99,axiom,
    ( ~ hskp18
    | ~ c1_1(a2000) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f513,plain,
    ( ~ spl0_63
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f100,f485,f510]) ).

fof(f100,axiom,
    ( ~ hskp18
    | ~ c3_1(a2000) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f508,plain,
    ( ~ spl0_62
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f121,f470,f505]) ).

fof(f121,axiom,
    ( ~ hskp5
    | ~ c3_1(a1977) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f503,plain,
    ( ~ spl0_61
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f107,f480,f500]) ).

fof(f107,axiom,
    ( ~ hskp13
    | ~ c3_1(a1991) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f463,plain,
    ( spl0_53
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f57,f275,f460]) ).

fof(f57,axiom,
    ( ~ hskp19
    | c2_1(a2001) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f458,plain,
    ( spl0_52
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f56,f290,f455]) ).

fof(f56,axiom,
    ( ~ hskp20
    | c2_1(a2003) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f453,plain,
    ( spl0_51
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f42,f245,f450]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c2_1(a1978) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f448,plain,
    ( spl0_50
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f40,f245,f445]) ).

fof(f40,axiom,
    ( ~ hskp29
    | c0_1(a1978) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f443,plain,
    ( spl0_49
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f53,f265,f440]) ).

fof(f53,axiom,
    ( ~ hskp22
    | c0_1(a2012) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f438,plain,
    ( spl0_48
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f51,f255,f435]) ).

fof(f51,axiom,
    ( ~ hskp23
    | c0_1(a2014) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f433,plain,
    ( spl0_47
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f80,f270,f430]) ).

fof(f80,axiom,
    ( ~ hskp2
    | c1_1(a1973) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f428,plain,
    ( spl0_46
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f41,f245,f425]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c1_1(a1978) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f423,plain,
    ( spl0_45
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f52,f255,f420]) ).

fof(f52,axiom,
    ( ~ hskp23
    | c1_1(a2014) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f418,plain,
    ( spl0_44
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f64,f285,f415]) ).

fof(f64,axiom,
    ( ~ hskp14
    | c1_1(a1992) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f413,plain,
    ( spl0_43
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f55,f290,f410]) ).

fof(f55,axiom,
    ( ~ hskp20
    | c1_1(a2003) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f403,plain,
    ( spl0_41
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f58,f275,f400]) ).

fof(f58,axiom,
    ( ~ hskp19
    | c3_1(a2001) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f398,plain,
    ( spl0_40
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f81,f270,f395]) ).

fof(f81,axiom,
    ( ~ hskp2
    | c3_1(a1973) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f393,plain,
    ( ~ spl0_39
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f128,f295,f390]) ).

fof(f128,axiom,
    ( ~ hskp0
    | ~ c2_1(a1969) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f383,plain,
    ( ~ spl0_37
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f91,f255,f380]) ).

fof(f91,axiom,
    ( ~ hskp23
    | ~ c2_1(a2014) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f373,plain,
    ( ~ spl0_35
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f106,f285,f370]) ).

fof(f106,axiom,
    ( ~ hskp14
    | ~ c2_1(a1992) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f368,plain,
    ( ~ spl0_34
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f92,f265,f365]) ).

fof(f92,axiom,
    ( ~ hskp22
    | ~ c2_1(a2012) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f363,plain,
    ( ~ spl0_33
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f125,f270,f360]) ).

fof(f125,axiom,
    ( ~ hskp2
    | ~ c2_1(a1973) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f353,plain,
    ( ~ spl0_31
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f97,f275,f350]) ).

fof(f97,axiom,
    ( ~ hskp19
    | ~ c0_1(a2001) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f348,plain,
    ( ~ spl0_30
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f105,f285,f345]) ).

fof(f105,axiom,
    ( ~ hskp14
    | ~ c0_1(a1992) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f328,plain,
    ( ~ spl0_26
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f127,f295,f325]) ).

fof(f127,axiom,
    ( ~ hskp0
    | ~ c1_1(a1969) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f323,plain,
    ( ~ spl0_25
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f129,f295,f320]) ).

fof(f129,axiom,
    ( ~ hskp0
    | ~ c3_1(a1969) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f318,plain,
    ( ~ spl0_24
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f96,f290,f315]) ).

fof(f96,axiom,
    ( ~ hskp20
    | ~ c3_1(a2003) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f313,plain,
    ( ~ spl0_23
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f93,f265,f310]) ).

fof(f93,axiom,
    ( ~ hskp22
    | ~ c3_1(a2012) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f278,plain,
    ( spl0_1
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f12,f275,f201]) ).

fof(f12,axiom,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f238,plain,
    ( spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f73,f205,f235]) ).

fof(f73,axiom,
    ( ~ hskp7
    | c0_1(a1981) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f233,plain,
    ( spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f74,f205,f230]) ).

fof(f74,axiom,
    ( ~ hskp7
    | c1_1(a1981) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN484-1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 02:03:56 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (12381)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (12382)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (12383)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (12386)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (12384)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)
% 0.13/0.37  % (12388)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)
% 0.13/0.37  % (12385)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (12387)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  Detected minimum model sizes of [1]
% 0.20/0.37  Detected maximum model sizes of [31]
% 0.20/0.37  TRYING [1]
% 0.20/0.38  Detected minimum model sizes of [1]
% 0.20/0.38  Detected maximum model sizes of [31]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  Detected minimum model sizes of [1]
% 0.20/0.38  Detected maximum model sizes of [31]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  Detected minimum model sizes of [1]
% 0.20/0.38  Detected maximum model sizes of [31]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.40  TRYING [5]
% 0.20/0.40  TRYING [5]
% 0.20/0.41  TRYING [5]
% 0.20/0.41  TRYING [5]
% 0.20/0.41  % (12387)First to succeed.
% 0.20/0.42  % (12387)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43  % (12387)------------------------------
% 0.20/0.43  % (12387)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.43  % (12387)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (12387)Memory used [KB]: 1897
% 0.20/0.43  % (12387)Time elapsed: 0.050 s
% 0.20/0.43  % (12387)Instructions burned: 82 (million)
% 0.20/0.43  % (12387)------------------------------
% 0.20/0.43  % (12387)------------------------------
% 0.20/0.43  % (12381)Success in time 0.071 s
%------------------------------------------------------------------------------