TSTP Solution File: SYN489-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN489-1 : 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 : n029.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 : Sun May  5 12:10:58 EDT 2024

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  305
% Syntax   : Number of formulae    :  871 (   1 unt;   0 def)
%            Number of atoms       : 2945 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3698 (1624   ~;1913   |;   0   &)
%                                         ( 161 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  198 ( 197 usr; 194 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  180 ( 180   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3615,plain,
    $false,
    inference(avatar_sat_refutation,[],[f233,f238,f243,f248,f253,f258,f263,f268,f278,f283,f288,f318,f323,f333,f338,f343,f348,f363,f368,f373,f378,f383,f388,f443,f448,f453,f458,f463,f468,f473,f478,f483,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f608,f623,f633,f638,f643,f648,f653,f658,f663,f668,f673,f678,f683,f688,f693,f698,f708,f738,f743,f748,f753,f758,f763,f768,f773,f778,f783,f788,f793,f798,f803,f808,f813,f823,f828,f833,f838,f843,f848,f849,f850,f851,f853,f860,f868,f872,f880,f884,f888,f892,f893,f897,f901,f902,f903,f907,f915,f923,f936,f937,f938,f945,f949,f953,f958,f959,f962,f963,f968,f972,f973,f974,f978,f981,f982,f983,f984,f985,f986,f990,f994,f996,f998,f1008,f1009,f1011,f1012,f1013,f1017,f1018,f1019,f1020,f1031,f1045,f1085,f1104,f1109,f1128,f1147,f1179,f1181,f1202,f1206,f1220,f1287,f1311,f1355,f1375,f1379,f1503,f1518,f1525,f1648,f1650,f1672,f1675,f1722,f1791,f1793,f1795,f1865,f1885,f1957,f1960,f1988,f2018,f2034,f2039,f2065,f2088,f2092,f2145,f2171,f2277,f2364,f2430,f2446,f2614,f2616,f2619,f2663,f2702,f2722,f2724,f2747,f2776,f2807,f2816,f2824,f2847,f2886,f2908,f2917,f2936,f2952,f2975,f2981,f3009,f3012,f3045,f3083,f3086,f3144,f3215,f3219,f3271,f3309,f3310,f3330,f3332,f3415,f3419,f3467,f3489,f3493,f3523,f3555,f3614]) ).

fof(f3614,plain,
    ( ~ spl0_117
    | ~ spl0_119
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f3613]) ).

fof(f3613,plain,
    ( $false
    | ~ spl0_117
    | ~ spl0_119
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f3612,f787]) ).

fof(f787,plain,
    ( c3_1(a2521)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_117
  <=> c3_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3612,plain,
    ( ~ c3_1(a2521)
    | ~ spl0_119
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f3611,f797]) ).

fof(f797,plain,
    ( c2_1(a2521)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_119
  <=> c2_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3611,plain,
    ( ~ c2_1(a2521)
    | ~ c3_1(a2521)
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(resolution,[],[f2086,f935]) ).

fof(f935,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f934,plain,
    ( spl0_148
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2086,plain,
    ( c0_1(a2521)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f2085]) ).

fof(f2085,plain,
    ( spl0_175
  <=> c0_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f3555,plain,
    ( ~ spl0_67
    | ~ spl0_62
    | ~ spl0_71
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3542,f934,f555,f510,f535]) ).

fof(f535,plain,
    ( spl0_67
  <=> c3_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f510,plain,
    ( spl0_62
  <=> c0_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f555,plain,
    ( spl0_71
  <=> c2_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f3542,plain,
    ( ~ c3_1(a2529)
    | ~ spl0_62
    | ~ spl0_71
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3526,f557]) ).

fof(f557,plain,
    ( c2_1(a2529)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f3526,plain,
    ( ~ c2_1(a2529)
    | ~ c3_1(a2529)
    | ~ spl0_62
    | ~ spl0_148 ),
    inference(resolution,[],[f935,f512]) ).

fof(f512,plain,
    ( c0_1(a2529)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f3523,plain,
    ( spl0_27
    | ~ spl0_32
    | ~ spl0_138
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f3522]) ).

fof(f3522,plain,
    ( $false
    | spl0_27
    | ~ spl0_32
    | ~ spl0_138
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f3521,f362]) ).

fof(f362,plain,
    ( c0_1(a2525)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_32
  <=> c0_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3521,plain,
    ( ~ c0_1(a2525)
    | spl0_27
    | ~ spl0_138
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f3517,f337]) ).

fof(f337,plain,
    ( ~ c3_1(a2525)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f335,plain,
    ( spl0_27
  <=> c3_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f3517,plain,
    ( c3_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_138
    | ~ spl0_167 ),
    inference(resolution,[],[f891,f1384]) ).

fof(f1384,plain,
    ( c1_1(a2525)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1382,plain,
    ( spl0_167
  <=> c1_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f891,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3493,plain,
    ( ~ spl0_62
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_154
    | ~ spl0_179 ),
    inference(avatar_contradiction_clause,[],[f3492]) ).

fof(f3492,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_154
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f3480,f2632]) ).

fof(f2632,plain,
    ( c1_1(a2529)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f2631]) ).

fof(f2631,plain,
    ( spl0_179
  <=> c1_1(a2529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f3480,plain,
    ( ~ c1_1(a2529)
    | ~ spl0_62
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(resolution,[],[f3477,f512]) ).

fof(f3477,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f966,f3376]) ).

fof(f3376,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f891,f887]) ).

fof(f887,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f965,plain,
    ( spl0_154
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3489,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3488]) ).

fof(f3488,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3478,f282]) ).

fof(f282,plain,
    ( c1_1(a2597)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_16
  <=> c1_1(a2597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f3478,plain,
    ( ~ c1_1(a2597)
    | ~ spl0_11
    | ~ spl0_137
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(resolution,[],[f3477,f257]) ).

fof(f257,plain,
    ( c0_1(a2597)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl0_11
  <=> c0_1(a2597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f3467,plain,
    ( spl0_86
    | spl0_90
    | ~ spl0_95
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3466]) ).

fof(f3466,plain,
    ( $false
    | spl0_86
    | spl0_90
    | ~ spl0_95
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3465,f632]) ).

fof(f632,plain,
    ( ~ c0_1(a2528)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl0_86
  <=> c0_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3465,plain,
    ( c0_1(a2528)
    | spl0_90
    | ~ spl0_95
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3452,f652]) ).

fof(f652,plain,
    ( ~ c1_1(a2528)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_90
  <=> c1_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f3452,plain,
    ( c1_1(a2528)
    | c0_1(a2528)
    | ~ spl0_95
    | ~ spl0_147 ),
    inference(resolution,[],[f931,f677]) ).

fof(f677,plain,
    ( c3_1(a2528)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl0_95
  <=> c3_1(a2528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f931,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3419,plain,
    ( spl0_179
    | ~ spl0_62
    | ~ spl0_71
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3418,f899,f555,f510,f2631]) ).

fof(f899,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3418,plain,
    ( c1_1(a2529)
    | ~ spl0_62
    | ~ spl0_71
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3391,f512]) ).

fof(f3391,plain,
    ( c1_1(a2529)
    | ~ c0_1(a2529)
    | ~ spl0_71
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f557]) ).

fof(f900,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f3415,plain,
    ( spl0_167
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3414,f899,f380,f360,f1382]) ).

fof(f380,plain,
    ( spl0_36
  <=> c2_1(a2525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3414,plain,
    ( c1_1(a2525)
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3398,f362]) ).

fof(f3398,plain,
    ( c1_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_36
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f382]) ).

fof(f382,plain,
    ( c2_1(a2525)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f3332,plain,
    ( spl0_111
    | ~ spl0_120
    | ~ spl0_142
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3331]) ).

fof(f3331,plain,
    ( $false
    | spl0_111
    | ~ spl0_120
    | ~ spl0_142
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f3326,f757]) ).

fof(f757,plain,
    ( ~ c3_1(a2517)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl0_111
  <=> c3_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f3326,plain,
    ( c3_1(a2517)
    | ~ spl0_120
    | ~ spl0_142
    | ~ spl0_161 ),
    inference(resolution,[],[f3311,f802]) ).

fof(f802,plain,
    ( c2_1(a2517)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl0_120
  <=> c2_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3311,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_142
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f1016,f910]) ).

fof(f910,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1016,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1015,plain,
    ( spl0_161
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3330,plain,
    ( spl0_52
    | ~ spl0_70
    | ~ spl0_142
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3329]) ).

fof(f3329,plain,
    ( $false
    | spl0_52
    | ~ spl0_70
    | ~ spl0_142
    | ~ spl0_161 ),
    inference(subsumption_resolution,[],[f3320,f462]) ).

fof(f462,plain,
    ( ~ c3_1(a2552)
    | spl0_52 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl0_52
  <=> c3_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f3320,plain,
    ( c3_1(a2552)
    | ~ spl0_70
    | ~ spl0_142
    | ~ spl0_161 ),
    inference(resolution,[],[f3311,f552]) ).

fof(f552,plain,
    ( c2_1(a2552)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_70
  <=> c2_1(a2552) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3310,plain,
    ( ~ spl0_17
    | spl0_6
    | ~ spl0_15
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3154,f909,f275,f230,f285]) ).

fof(f285,plain,
    ( spl0_17
  <=> c1_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f230,plain,
    ( spl0_6
  <=> c3_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f275,plain,
    ( spl0_15
  <=> c2_1(a2531) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f3154,plain,
    ( c3_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_15
    | ~ spl0_142 ),
    inference(resolution,[],[f910,f277]) ).

fof(f277,plain,
    ( c2_1(a2531)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f3309,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3308]) ).

fof(f3308,plain,
    ( $false
    | spl0_124
    | spl0_125
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f3301,f822]) ).

fof(f822,plain,
    ( ~ c0_1(a2516)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_124
  <=> c0_1(a2516) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3301,plain,
    ( c0_1(a2516)
    | spl0_125
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(resolution,[],[f3281,f827]) ).

fof(f827,plain,
    ( ~ c2_1(a2516)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f825,plain,
    ( spl0_125
  <=> c2_1(a2516) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3281,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_150
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f957,f944]) ).

fof(f944,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f943,plain,
    ( spl0_150
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f957,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_153
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3271,plain,
    ( spl0_29
    | spl0_23
    | ~ spl0_33
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f3270,f943,f365,f315,f345]) ).

fof(f345,plain,
    ( spl0_29
  <=> c2_1(a2539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f315,plain,
    ( spl0_23
  <=> c0_1(a2539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f365,plain,
    ( spl0_33
  <=> c3_1(a2539) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f3270,plain,
    ( c2_1(a2539)
    | spl0_23
    | ~ spl0_33
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f3245,f317]) ).

fof(f317,plain,
    ( ~ c0_1(a2539)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f3245,plain,
    ( c2_1(a2539)
    | c0_1(a2539)
    | ~ spl0_33
    | ~ spl0_150 ),
    inference(resolution,[],[f944,f367]) ).

fof(f367,plain,
    ( c3_1(a2539)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f3219,plain,
    ( ~ spl0_93
    | ~ spl0_97
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3218]) ).

fof(f3218,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_97
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3205,f667]) ).

fof(f667,plain,
    ( c0_1(a2555)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_93
  <=> c0_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f3205,plain,
    ( ~ c0_1(a2555)
    | ~ spl0_97
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(resolution,[],[f3202,f687]) ).

fof(f687,plain,
    ( c2_1(a2555)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl0_97
  <=> c2_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3202,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f935,f896]) ).

fof(f896,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3215,plain,
    ( ~ spl0_61
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3214]) ).

fof(f3214,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f3203,f507]) ).

fof(f507,plain,
    ( c0_1(a2558)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_61
  <=> c0_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f3203,plain,
    ( ~ c0_1(a2558)
    | ~ spl0_73
    | ~ spl0_139
    | ~ spl0_148 ),
    inference(resolution,[],[f3202,f567]) ).

fof(f567,plain,
    ( c2_1(a2558)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl0_73
  <=> c2_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3144,plain,
    ( ~ spl0_173
    | spl0_51
    | ~ spl0_60
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3141,f895,f500,f455,f1984]) ).

fof(f1984,plain,
    ( spl0_173
  <=> c2_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f455,plain,
    ( spl0_51
  <=> c3_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f500,plain,
    ( spl0_60
  <=> c0_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3141,plain,
    ( ~ c2_1(a2553)
    | spl0_51
    | ~ spl0_60
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3133,f457]) ).

fof(f457,plain,
    ( ~ c3_1(a2553)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f3133,plain,
    ( c3_1(a2553)
    | ~ c2_1(a2553)
    | ~ spl0_60
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f502]) ).

fof(f502,plain,
    ( c0_1(a2553)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f3086,plain,
    ( spl0_176
    | spl0_50
    | ~ spl0_64
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3085,f886,f520,f450,f2174]) ).

fof(f2174,plain,
    ( spl0_176
  <=> c1_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f450,plain,
    ( spl0_50
  <=> c3_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f520,plain,
    ( spl0_64
  <=> c0_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f3085,plain,
    ( c1_1(a2540)
    | spl0_50
    | ~ spl0_64
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3071,f522]) ).

fof(f522,plain,
    ( c0_1(a2540)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f3071,plain,
    ( c1_1(a2540)
    | ~ c0_1(a2540)
    | spl0_50
    | ~ spl0_137 ),
    inference(resolution,[],[f887,f452]) ).

fof(f452,plain,
    ( ~ c3_1(a2540)
    | spl0_50 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f3083,plain,
    ( spl0_51
    | spl0_56
    | ~ spl0_60
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3082]) ).

fof(f3082,plain,
    ( $false
    | spl0_51
    | spl0_56
    | ~ spl0_60
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3081,f502]) ).

fof(f3081,plain,
    ( ~ c0_1(a2553)
    | spl0_51
    | spl0_56
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3068,f482]) ).

fof(f482,plain,
    ( ~ c1_1(a2553)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_56
  <=> c1_1(a2553) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f3068,plain,
    ( c1_1(a2553)
    | ~ c0_1(a2553)
    | spl0_51
    | ~ spl0_137 ),
    inference(resolution,[],[f887,f457]) ).

fof(f3045,plain,
    ( spl0_125
    | spl0_127
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f3044]) ).

fof(f3044,plain,
    ( $false
    | spl0_125
    | spl0_127
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f3035,f837]) ).

fof(f837,plain,
    ( ~ c1_1(a2516)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f835,plain,
    ( spl0_127
  <=> c1_1(a2516) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f3035,plain,
    ( c1_1(a2516)
    | spl0_125
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(resolution,[],[f3013,f827]) ).

fof(f3013,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f922,f941]) ).

fof(f941,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f922,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f921,plain,
    ( spl0_145
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3012,plain,
    ( spl0_89
    | ~ spl0_96
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3011]) ).

fof(f3011,plain,
    ( $false
    | spl0_89
    | ~ spl0_96
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3004,f647]) ).

fof(f647,plain,
    ( ~ c2_1(a2524)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl0_89
  <=> c2_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3004,plain,
    ( c2_1(a2524)
    | ~ spl0_96
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(resolution,[],[f2988,f682]) ).

fof(f682,plain,
    ( c3_1(a2524)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_96
  <=> c3_1(a2524) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2988,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f971,f941]) ).

fof(f971,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f970,plain,
    ( spl0_155
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3009,plain,
    ( spl0_29
    | ~ spl0_33
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3008]) ).

fof(f3008,plain,
    ( $false
    | spl0_29
    | ~ spl0_33
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3001,f347]) ).

fof(f347,plain,
    ( ~ c2_1(a2539)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f3001,plain,
    ( c2_1(a2539)
    | ~ spl0_33
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(resolution,[],[f2988,f367]) ).

fof(f2981,plain,
    ( spl0_115
    | ~ spl0_119
    | ~ spl0_158
    | spl0_175 ),
    inference(avatar_contradiction_clause,[],[f2980]) ).

fof(f2980,plain,
    ( $false
    | spl0_115
    | ~ spl0_119
    | ~ spl0_158
    | spl0_175 ),
    inference(subsumption_resolution,[],[f2979,f2087]) ).

fof(f2087,plain,
    ( ~ c0_1(a2521)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f2085]) ).

fof(f2979,plain,
    ( c0_1(a2521)
    | spl0_115
    | ~ spl0_119
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2968,f777]) ).

fof(f777,plain,
    ( ~ c1_1(a2521)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_115
  <=> c1_1(a2521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2968,plain,
    ( c1_1(a2521)
    | c0_1(a2521)
    | ~ spl0_119
    | ~ spl0_158 ),
    inference(resolution,[],[f993,f797]) ).

fof(f993,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f992,plain,
    ( spl0_158
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f2975,plain,
    ( spl0_108
    | spl0_116
    | ~ spl0_118
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f2974]) ).

fof(f2974,plain,
    ( $false
    | spl0_108
    | spl0_116
    | ~ spl0_118
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2973,f742]) ).

fof(f742,plain,
    ( ~ c0_1(a2549)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_108
  <=> c0_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2973,plain,
    ( c0_1(a2549)
    | spl0_116
    | ~ spl0_118
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2961,f782]) ).

fof(f782,plain,
    ( ~ c1_1(a2549)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_116
  <=> c1_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2961,plain,
    ( c1_1(a2549)
    | c0_1(a2549)
    | ~ spl0_118
    | ~ spl0_158 ),
    inference(resolution,[],[f993,f792]) ).

fof(f792,plain,
    ( c2_1(a2549)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f790,plain,
    ( spl0_118
  <=> c2_1(a2549) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2952,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_120
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2951]) ).

fof(f2951,plain,
    ( $false
    | spl0_110
    | spl0_111
    | ~ spl0_120
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2950,f752]) ).

fof(f752,plain,
    ( ~ c0_1(a2517)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f750,plain,
    ( spl0_110
  <=> c0_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2950,plain,
    ( c0_1(a2517)
    | spl0_111
    | ~ spl0_120
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2934,f757]) ).

fof(f2934,plain,
    ( c3_1(a2517)
    | c0_1(a2517)
    | ~ spl0_120
    | ~ spl0_156 ),
    inference(resolution,[],[f977,f802]) ).

fof(f977,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl0_156
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2936,plain,
    ( spl0_143
    | ~ spl0_151
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2935,f976,f947,f913]) ).

fof(f913,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f947,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2935,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_151
    | ~ spl0_156 ),
    inference(duplicate_literal_removal,[],[f2918]) ).

fof(f2918,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_151
    | ~ spl0_156 ),
    inference(resolution,[],[f977,f948]) ).

fof(f948,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f2917,plain,
    ( ~ spl0_99
    | spl0_87
    | ~ spl0_151
    | spl0_174 ),
    inference(avatar_split_clause,[],[f2916,f2080,f947,f635,f695]) ).

fof(f695,plain,
    ( spl0_99
  <=> c1_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f635,plain,
    ( spl0_87
  <=> c3_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2080,plain,
    ( spl0_174
  <=> c2_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2916,plain,
    ( ~ c1_1(a2523)
    | spl0_87
    | ~ spl0_151
    | spl0_174 ),
    inference(subsumption_resolution,[],[f2912,f637]) ).

fof(f637,plain,
    ( ~ c3_1(a2523)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f2912,plain,
    ( ~ c1_1(a2523)
    | c3_1(a2523)
    | ~ spl0_151
    | spl0_174 ),
    inference(resolution,[],[f2081,f948]) ).

fof(f2081,plain,
    ( ~ c2_1(a2523)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f2080]) ).

fof(f2908,plain,
    ( spl0_107
    | spl0_112
    | spl0_114
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2907]) ).

fof(f2907,plain,
    ( $false
    | spl0_107
    | spl0_112
    | spl0_114
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2906,f762]) ).

fof(f762,plain,
    ( ~ c3_1(a2519)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_112
  <=> c3_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2906,plain,
    ( c3_1(a2519)
    | spl0_107
    | spl0_114
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2899,f737]) ).

fof(f737,plain,
    ( ~ c0_1(a2519)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_107
  <=> c0_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2899,plain,
    ( c0_1(a2519)
    | c3_1(a2519)
    | spl0_114
    | ~ spl0_153 ),
    inference(resolution,[],[f957,f772]) ).

fof(f772,plain,
    ( ~ c2_1(a2519)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_114
  <=> c2_1(a2519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2886,plain,
    ( ~ spl0_176
    | spl0_50
    | spl0_54
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2885,f947,f470,f450,f2174]) ).

fof(f470,plain,
    ( spl0_54
  <=> c2_1(a2540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2885,plain,
    ( ~ c1_1(a2540)
    | spl0_50
    | spl0_54
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2874,f452]) ).

fof(f2874,plain,
    ( ~ c1_1(a2540)
    | c3_1(a2540)
    | spl0_54
    | ~ spl0_151 ),
    inference(resolution,[],[f948,f472]) ).

fof(f472,plain,
    ( ~ c2_1(a2540)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f2847,plain,
    ( ~ spl0_117
    | ~ spl0_119
    | ~ spl0_131
    | ~ spl0_146
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2846]) ).

fof(f2846,plain,
    ( $false
    | ~ spl0_117
    | ~ spl0_119
    | ~ spl0_131
    | ~ spl0_146
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2841,f797]) ).

fof(f2841,plain,
    ( ~ c2_1(a2521)
    | ~ spl0_117
    | ~ spl0_131
    | ~ spl0_146
    | ~ spl0_154 ),
    inference(resolution,[],[f2819,f787]) ).

fof(f2819,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_146
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f927,f2496]) ).

fof(f2496,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f966,f863]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f927,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f926,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2824,plain,
    ( spl0_170
    | spl0_8
    | ~ spl0_13
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2823,f940,f265,f240,f1500]) ).

fof(f1500,plain,
    ( spl0_170
  <=> c1_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f240,plain,
    ( spl0_8
  <=> c2_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f265,plain,
    ( spl0_13
  <=> c3_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2823,plain,
    ( c1_1(a2601)
    | spl0_8
    | ~ spl0_13
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2821,f242]) ).

fof(f242,plain,
    ( ~ c2_1(a2601)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f2821,plain,
    ( c1_1(a2601)
    | c2_1(a2601)
    | ~ spl0_13
    | ~ spl0_149 ),
    inference(resolution,[],[f267,f941]) ).

fof(f267,plain,
    ( c3_1(a2601)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f2816,plain,
    ( ~ spl0_174
    | ~ spl0_94
    | ~ spl0_99
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2812,f951,f695,f670,f2080]) ).

fof(f670,plain,
    ( spl0_94
  <=> c0_1(a2523) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f951,plain,
    ( spl0_152
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2812,plain,
    ( ~ c2_1(a2523)
    | ~ spl0_94
    | ~ spl0_99
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2803,f697]) ).

fof(f697,plain,
    ( c1_1(a2523)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f2803,plain,
    ( ~ c1_1(a2523)
    | ~ c2_1(a2523)
    | ~ spl0_94
    | ~ spl0_152 ),
    inference(resolution,[],[f952,f672]) ).

fof(f672,plain,
    ( c0_1(a2523)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f952,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f2807,plain,
    ( ~ spl0_61
    | ~ spl0_73
    | ~ spl0_76
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2806]) ).

fof(f2806,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_73
    | ~ spl0_76
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2805,f567]) ).

fof(f2805,plain,
    ( ~ c2_1(a2558)
    | ~ spl0_61
    | ~ spl0_76
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2793,f582]) ).

fof(f582,plain,
    ( c1_1(a2558)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl0_76
  <=> c1_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f2793,plain,
    ( ~ c1_1(a2558)
    | ~ c2_1(a2558)
    | ~ spl0_61
    | ~ spl0_152 ),
    inference(resolution,[],[f952,f507]) ).

fof(f2776,plain,
    ( spl0_7
    | spl0_9
    | ~ spl0_12
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2769,f940,f260,f245,f235]) ).

fof(f235,plain,
    ( spl0_7
  <=> c2_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f245,plain,
    ( spl0_9
  <=> c1_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f260,plain,
    ( spl0_12
  <=> c3_1(a2541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2769,plain,
    ( c2_1(a2541)
    | spl0_9
    | ~ spl0_12
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2758,f247]) ).

fof(f247,plain,
    ( ~ c1_1(a2541)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f2758,plain,
    ( c1_1(a2541)
    | c2_1(a2541)
    | ~ spl0_12
    | ~ spl0_149 ),
    inference(resolution,[],[f941,f262]) ).

fof(f262,plain,
    ( c3_1(a2541)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f2747,plain,
    ( spl0_176
    | spl0_50
    | spl0_54
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2746,f921,f470,f450,f2174]) ).

fof(f2746,plain,
    ( c1_1(a2540)
    | spl0_50
    | spl0_54
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2739,f452]) ).

fof(f2739,plain,
    ( c1_1(a2540)
    | c3_1(a2540)
    | spl0_54
    | ~ spl0_145 ),
    inference(resolution,[],[f922,f472]) ).

fof(f2724,plain,
    ( spl0_176
    | spl0_54
    | ~ spl0_64
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2723,f905,f520,f470,f2174]) ).

fof(f905,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2723,plain,
    ( c1_1(a2540)
    | spl0_54
    | ~ spl0_64
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2709,f522]) ).

fof(f2709,plain,
    ( c1_1(a2540)
    | ~ c0_1(a2540)
    | spl0_54
    | ~ spl0_141 ),
    inference(resolution,[],[f906,f472]) ).

fof(f906,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f2722,plain,
    ( spl0_55
    | spl0_58
    | ~ spl0_63
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2721]) ).

fof(f2721,plain,
    ( $false
    | spl0_55
    | spl0_58
    | ~ spl0_63
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2720,f517]) ).

fof(f517,plain,
    ( c0_1(a2564)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl0_63
  <=> c0_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2720,plain,
    ( ~ c0_1(a2564)
    | spl0_55
    | spl0_58
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f2706,f492]) ).

fof(f492,plain,
    ( ~ c1_1(a2564)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_58
  <=> c1_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2706,plain,
    ( c1_1(a2564)
    | ~ c0_1(a2564)
    | spl0_55
    | ~ spl0_141 ),
    inference(resolution,[],[f906,f477]) ).

fof(f477,plain,
    ( ~ c2_1(a2564)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f475,plain,
    ( spl0_55
  <=> c2_1(a2564) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2702,plain,
    ( spl0_48
    | spl0_53
    | ~ spl0_74
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2697,f917,f570,f465,f440]) ).

fof(f440,plain,
    ( spl0_48
  <=> c0_1(a2534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f465,plain,
    ( spl0_53
  <=> c2_1(a2534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f570,plain,
    ( spl0_74
  <=> c1_1(a2534) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f917,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2697,plain,
    ( c0_1(a2534)
    | spl0_53
    | ~ spl0_74
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2691,f467]) ).

fof(f467,plain,
    ( ~ c2_1(a2534)
    | spl0_53 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f2691,plain,
    ( c2_1(a2534)
    | c0_1(a2534)
    | ~ spl0_74
    | ~ spl0_144 ),
    inference(resolution,[],[f918,f572]) ).

fof(f572,plain,
    ( c1_1(a2534)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f918,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f2663,plain,
    ( ~ spl0_61
    | ~ spl0_76
    | ~ spl0_131
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_76
    | ~ spl0_131
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2653,f507]) ).

fof(f2653,plain,
    ( ~ c0_1(a2558)
    | ~ spl0_76
    | ~ spl0_131
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(resolution,[],[f2622,f582]) ).

fof(f2622,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_138
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f891,f2496]) ).

fof(f2619,plain,
    ( spl0_166
    | spl0_110
    | spl0_111
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2618,f988,f755,f750,f1255]) ).

fof(f1255,plain,
    ( spl0_166
  <=> c1_1(a2517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f988,plain,
    ( spl0_157
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2618,plain,
    ( c1_1(a2517)
    | spl0_110
    | spl0_111
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2581,f752]) ).

fof(f2581,plain,
    ( c1_1(a2517)
    | c0_1(a2517)
    | spl0_111
    | ~ spl0_157 ),
    inference(resolution,[],[f989,f757]) ).

fof(f989,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f2616,plain,
    ( spl0_107
    | spl0_112
    | spl0_114
    | ~ spl0_151
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2606,f988,f947,f770,f760,f735]) ).

fof(f2606,plain,
    ( c0_1(a2519)
    | spl0_112
    | spl0_114
    | ~ spl0_151
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2584,f2320]) ).

fof(f2320,plain,
    ( ~ c1_1(a2519)
    | spl0_112
    | spl0_114
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2317,f762]) ).

fof(f2317,plain,
    ( ~ c1_1(a2519)
    | c3_1(a2519)
    | spl0_114
    | ~ spl0_151 ),
    inference(resolution,[],[f948,f772]) ).

fof(f2584,plain,
    ( c1_1(a2519)
    | c0_1(a2519)
    | spl0_112
    | ~ spl0_157 ),
    inference(resolution,[],[f989,f762]) ).

fof(f2614,plain,
    ( spl0_84
    | spl0_88
    | spl0_91
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2602,f988,f655,f640,f620]) ).

fof(f620,plain,
    ( spl0_84
  <=> c0_1(a2536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f640,plain,
    ( spl0_88
  <=> c3_1(a2536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f655,plain,
    ( spl0_91
  <=> c1_1(a2536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2602,plain,
    ( c0_1(a2536)
    | spl0_88
    | spl0_91
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2582,f657]) ).

fof(f657,plain,
    ( ~ c1_1(a2536)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f2582,plain,
    ( c1_1(a2536)
    | c0_1(a2536)
    | spl0_88
    | ~ spl0_157 ),
    inference(resolution,[],[f989,f642]) ).

fof(f642,plain,
    ( ~ c3_1(a2536)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f2446,plain,
    ( ~ spl0_94
    | ~ spl0_99
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2445]) ).

fof(f2445,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_99
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2427,f672]) ).

fof(f2427,plain,
    ( ~ c0_1(a2523)
    | ~ spl0_99
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(resolution,[],[f2415,f697]) ).

fof(f2415,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f952,f879]) ).

fof(f879,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f878,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2430,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2429]) ).

fof(f2429,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2416,f257]) ).

fof(f2416,plain,
    ( ~ c0_1(a2597)
    | ~ spl0_16
    | ~ spl0_135
    | ~ spl0_152 ),
    inference(resolution,[],[f2415,f282]) ).

fof(f2364,plain,
    ( ~ spl0_117
    | spl0_115
    | ~ spl0_131
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2290,f2085,f862,f775,f785]) ).

fof(f2290,plain,
    ( c1_1(a2521)
    | ~ c3_1(a2521)
    | ~ spl0_131
    | ~ spl0_175 ),
    inference(resolution,[],[f2086,f863]) ).

fof(f2277,plain,
    ( ~ spl0_61
    | ~ spl0_135
    | ~ spl0_139
    | ~ spl0_141
    | spl0_171 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_135
    | ~ spl0_139
    | ~ spl0_141
    | spl0_171 ),
    inference(subsumption_resolution,[],[f2263,f1514]) ).

fof(f1514,plain,
    ( ~ c3_1(a2558)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1512]) ).

fof(f1512,plain,
    ( spl0_171
  <=> c3_1(a2558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2263,plain,
    ( c3_1(a2558)
    | ~ spl0_61
    | ~ spl0_135
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(resolution,[],[f2259,f507]) ).

fof(f2259,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_135
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f896,f2143]) ).

fof(f2143,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f906,f879]) ).

fof(f2171,plain,
    ( spl0_8
    | ~ spl0_10
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2157,f905,f878,f250,f240]) ).

fof(f250,plain,
    ( spl0_10
  <=> c0_1(a2601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2157,plain,
    ( c2_1(a2601)
    | ~ spl0_10
    | ~ spl0_135
    | ~ spl0_141 ),
    inference(resolution,[],[f2143,f252]) ).

fof(f252,plain,
    ( c0_1(a2601)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f2145,plain,
    ( ~ spl0_170
    | spl0_8
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1891,f878,f250,f240,f1500]) ).

fof(f1891,plain,
    ( c2_1(a2601)
    | ~ c1_1(a2601)
    | ~ spl0_10
    | ~ spl0_135 ),
    inference(resolution,[],[f879,f252]) ).

fof(f2092,plain,
    ( ~ spl0_129
    | spl0_126
    | ~ spl0_128
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1893,f878,f840,f830,f845]) ).

fof(f845,plain,
    ( spl0_129
  <=> c1_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f830,plain,
    ( spl0_126
  <=> c2_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f840,plain,
    ( spl0_128
  <=> c0_1(a2551) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1893,plain,
    ( c2_1(a2551)
    | ~ c1_1(a2551)
    | ~ spl0_128
    | ~ spl0_135 ),
    inference(resolution,[],[f879,f842]) ).

fof(f842,plain,
    ( c0_1(a2551)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f2088,plain,
    ( ~ spl0_175
    | spl0_115
    | ~ spl0_119
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1926,f899,f795,f775,f2085]) ).

fof(f1926,plain,
    ( c1_1(a2521)
    | ~ c0_1(a2521)
    | ~ spl0_119
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f797]) ).

fof(f2065,plain,
    ( spl0_26
    | spl0_28
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2064,plain,
    ( $false
    | spl0_26
    | spl0_28
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2048,f332]) ).

fof(f332,plain,
    ( ~ c3_1(a2614)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl0_26
  <=> c3_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f2048,plain,
    ( c3_1(a2614)
    | spl0_28
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(resolution,[],[f2019,f342]) ).

fof(f342,plain,
    ( ~ c2_1(a2614)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl0_28
  <=> c2_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2019,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_136
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f957,f883]) ).

fof(f883,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2039,plain,
    ( spl0_51
    | ~ spl0_60
    | ~ spl0_136
    | spl0_173 ),
    inference(avatar_split_clause,[],[f2036,f1984,f882,f500,f455]) ).

fof(f2036,plain,
    ( c3_1(a2553)
    | ~ spl0_60
    | ~ spl0_136
    | spl0_173 ),
    inference(subsumption_resolution,[],[f2035,f502]) ).

fof(f2035,plain,
    ( ~ c0_1(a2553)
    | c3_1(a2553)
    | ~ spl0_136
    | spl0_173 ),
    inference(resolution,[],[f1985,f883]) ).

fof(f1985,plain,
    ( ~ c2_1(a2553)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f1984]) ).

fof(f2034,plain,
    ( ~ spl0_69
    | ~ spl0_72
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2024,f562]) ).

fof(f562,plain,
    ( c2_1(a2556)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_72
  <=> c2_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2024,plain,
    ( ~ c2_1(a2556)
    | ~ spl0_69
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(resolution,[],[f2012,f547]) ).

fof(f547,plain,
    ( c3_1(a2556)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_69
  <=> c3_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2012,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f935,f927]) ).

fof(f2018,plain,
    ( spl0_56
    | ~ spl0_60
    | ~ spl0_140
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f2017]) ).

fof(f2017,plain,
    ( $false
    | spl0_56
    | ~ spl0_60
    | ~ spl0_140
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2016,f502]) ).

fof(f2016,plain,
    ( ~ c0_1(a2553)
    | spl0_56
    | ~ spl0_140
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2015,f482]) ).

fof(f2015,plain,
    ( c1_1(a2553)
    | ~ c0_1(a2553)
    | ~ spl0_140
    | ~ spl0_173 ),
    inference(resolution,[],[f1986,f900]) ).

fof(f1986,plain,
    ( c2_1(a2553)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1984]) ).

fof(f1988,plain,
    ( ~ spl0_117
    | spl0_115
    | ~ spl0_119
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1975,f926,f899,f795,f775,f785]) ).

fof(f1975,plain,
    ( ~ c3_1(a2521)
    | spl0_115
    | ~ spl0_119
    | ~ spl0_140
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1970,f1930]) ).

fof(f1930,plain,
    ( ~ c0_1(a2521)
    | spl0_115
    | ~ spl0_119
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1926,f777]) ).

fof(f1970,plain,
    ( c0_1(a2521)
    | ~ c3_1(a2521)
    | ~ spl0_119
    | ~ spl0_146 ),
    inference(resolution,[],[f927,f797]) ).

fof(f1960,plain,
    ( spl0_109
    | spl0_113
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1959]) ).

fof(f1959,plain,
    ( $false
    | spl0_109
    | spl0_113
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1958,f747]) ).

fof(f747,plain,
    ( ~ c0_1(a2518)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_109
  <=> c0_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1958,plain,
    ( c0_1(a2518)
    | spl0_113
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1954,f767]) ).

fof(f767,plain,
    ( ~ c3_1(a2518)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_113
  <=> c3_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1954,plain,
    ( c3_1(a2518)
    | c0_1(a2518)
    | ~ spl0_121
    | ~ spl0_143 ),
    inference(resolution,[],[f914,f807]) ).

fof(f807,plain,
    ( c1_1(a2518)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_121
  <=> c1_1(a2518) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f914,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f1957,plain,
    ( spl0_26
    | spl0_28
    | ~ spl0_37
    | ~ spl0_136
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1956]) ).

fof(f1956,plain,
    ( $false
    | spl0_26
    | spl0_28
    | ~ spl0_37
    | ~ spl0_136
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1955,f1916]) ).

fof(f1916,plain,
    ( ~ c0_1(a2614)
    | spl0_26
    | spl0_28
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1900,f332]) ).

fof(f1900,plain,
    ( ~ c0_1(a2614)
    | c3_1(a2614)
    | spl0_28
    | ~ spl0_136 ),
    inference(resolution,[],[f883,f342]) ).

fof(f1955,plain,
    ( c0_1(a2614)
    | spl0_26
    | ~ spl0_37
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1944,f332]) ).

fof(f1944,plain,
    ( c3_1(a2614)
    | c0_1(a2614)
    | ~ spl0_37
    | ~ spl0_143 ),
    inference(resolution,[],[f914,f387]) ).

fof(f387,plain,
    ( c1_1(a2614)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl0_37
  <=> c1_1(a2614) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1885,plain,
    ( spl0_49
    | ~ spl0_66
    | ~ spl0_75
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1884]) ).

fof(f1884,plain,
    ( $false
    | spl0_49
    | ~ spl0_66
    | ~ spl0_75
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1883,f577]) ).

fof(f577,plain,
    ( c1_1(a2526)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl0_75
  <=> c1_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1883,plain,
    ( ~ c1_1(a2526)
    | spl0_49
    | ~ spl0_66
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1873,f447]) ).

fof(f447,plain,
    ( ~ c0_1(a2526)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_49
  <=> c0_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1873,plain,
    ( c0_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_66
    | ~ spl0_134 ),
    inference(resolution,[],[f875,f532]) ).

fof(f532,plain,
    ( c3_1(a2526)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_66
  <=> c3_1(a2526) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f874,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1865,plain,
    ( ~ spl0_171
    | ~ spl0_73
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1864,f858,f580,f565,f1512]) ).

fof(f858,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1864,plain,
    ( ~ c3_1(a2558)
    | ~ spl0_73
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1857,f582]) ).

fof(f1857,plain,
    ( ~ c1_1(a2558)
    | ~ c3_1(a2558)
    | ~ spl0_73
    | ~ spl0_130 ),
    inference(resolution,[],[f859,f567]) ).

fof(f859,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f1795,plain,
    ( ~ spl0_61
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1780,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(resolution,[],[f1778,f507]) ).

fof(f1778,plain,
    ( ! [X0] : ~ c0_1(X0)
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1777,f1468]) ).

fof(f1468,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f879,f1396]) ).

fof(f1396,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f887,f863]) ).

fof(f1777,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f952,f1396]) ).

fof(f1793,plain,
    ( ~ spl0_10
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1782]) ).

fof(f1782,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(resolution,[],[f1778,f252]) ).

fof(f1791,plain,
    ( ~ spl0_128
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1784,plain,
    ( $false
    | ~ spl0_128
    | ~ spl0_131
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_152 ),
    inference(resolution,[],[f1778,f842]) ).

fof(f1722,plain,
    ( spl0_109
    | ~ spl0_121
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1704,f917,f870,f805,f745]) ).

fof(f870,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1704,plain,
    ( c0_1(a2518)
    | ~ spl0_121
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(resolution,[],[f1683,f807]) ).

fof(f1683,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f918,f871]) ).

fof(f871,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f1675,plain,
    ( spl0_26
    | spl0_28
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | spl0_26
    | spl0_28
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1673,f332]) ).

fof(f1673,plain,
    ( c3_1(a2614)
    | spl0_28
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1655,f387]) ).

fof(f1655,plain,
    ( ~ c1_1(a2614)
    | c3_1(a2614)
    | spl0_28
    | ~ spl0_151 ),
    inference(resolution,[],[f948,f342]) ).

fof(f1672,plain,
    ( spl0_143
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1671,f947,f870,f913]) ).

fof(f1671,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(duplicate_literal_removal,[],[f1654]) ).

fof(f1654,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_151 ),
    inference(resolution,[],[f948,f871]) ).

fof(f1650,plain,
    ( spl0_49
    | ~ spl0_66
    | ~ spl0_146
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1649]) ).

fof(f1649,plain,
    ( $false
    | spl0_49
    | ~ spl0_66
    | ~ spl0_146
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1642,f447]) ).

fof(f1642,plain,
    ( c0_1(a2526)
    | ~ spl0_66
    | ~ spl0_146
    | ~ spl0_150 ),
    inference(resolution,[],[f1635,f532]) ).

fof(f1635,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_146
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f944,f927]) ).

fof(f1648,plain,
    ( spl0_86
    | ~ spl0_95
    | ~ spl0_146
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1647]) ).

fof(f1647,plain,
    ( $false
    | spl0_86
    | ~ spl0_95
    | ~ spl0_146
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1641,f632]) ).

fof(f1641,plain,
    ( c0_1(a2528)
    | ~ spl0_95
    | ~ spl0_146
    | ~ spl0_150 ),
    inference(resolution,[],[f1635,f677]) ).

fof(f1525,plain,
    ( ~ spl0_166
    | spl0_110
    | ~ spl0_120
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1524,f870,f800,f750,f1255]) ).

fof(f1524,plain,
    ( ~ c1_1(a2517)
    | spl0_110
    | ~ spl0_120
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1523,f752]) ).

fof(f1523,plain,
    ( c0_1(a2517)
    | ~ c1_1(a2517)
    | ~ spl0_120
    | ~ spl0_133 ),
    inference(resolution,[],[f802,f871]) ).

fof(f1518,plain,
    ( ~ spl0_76
    | ~ spl0_73
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1516,f951,f870,f565,f580]) ).

fof(f1516,plain,
    ( ~ c1_1(a2558)
    | ~ spl0_73
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(resolution,[],[f567,f1441]) ).

fof(f1441,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f952,f871]) ).

fof(f1503,plain,
    ( ~ spl0_13
    | spl0_170
    | ~ spl0_10
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1496,f862,f250,f1500,f265]) ).

fof(f1496,plain,
    ( c1_1(a2601)
    | ~ c3_1(a2601)
    | ~ spl0_10
    | ~ spl0_131 ),
    inference(resolution,[],[f252,f863]) ).

fof(f1379,plain,
    ( spl0_115
    | ~ spl0_117
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1378,plain,
    ( $false
    | spl0_115
    | ~ spl0_117
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1373,f777]) ).

fof(f1373,plain,
    ( c1_1(a2521)
    | ~ spl0_117
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(resolution,[],[f1326,f787]) ).

fof(f1326,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f931,f863]) ).

fof(f1375,plain,
    ( spl0_9
    | ~ spl0_12
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1374]) ).

fof(f1374,plain,
    ( $false
    | spl0_9
    | ~ spl0_12
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1369,f247]) ).

fof(f1369,plain,
    ( c1_1(a2541)
    | ~ spl0_12
    | ~ spl0_131
    | ~ spl0_147 ),
    inference(resolution,[],[f1326,f262]) ).

fof(f1355,plain,
    ( spl0_92
    | ~ spl0_93
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | spl0_92
    | ~ spl0_93
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1342,f662]) ).

fof(f662,plain,
    ( ~ c1_1(a2555)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl0_92
  <=> c1_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1342,plain,
    ( c1_1(a2555)
    | ~ spl0_93
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(resolution,[],[f1288,f667]) ).

fof(f1288,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f887,f863]) ).

fof(f1311,plain,
    ( spl0_109
    | spl0_113
    | ~ spl0_133
    | ~ spl0_153
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1310]) ).

fof(f1310,plain,
    ( $false
    | spl0_109
    | spl0_113
    | ~ spl0_133
    | ~ spl0_153
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1300,f747]) ).

fof(f1300,plain,
    ( c0_1(a2518)
    | spl0_113
    | ~ spl0_133
    | ~ spl0_153
    | ~ spl0_158 ),
    inference(resolution,[],[f1259,f767]) ).

fof(f1259,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_133
    | ~ spl0_153
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f957,f1222]) ).

fof(f1222,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_133
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f993,f871]) ).

fof(f1287,plain,
    ( spl0_115
    | ~ spl0_117
    | ~ spl0_119
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1286]) ).

fof(f1286,plain,
    ( $false
    | spl0_115
    | ~ spl0_117
    | ~ spl0_119
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1285,f787]) ).

fof(f1285,plain,
    ( ~ c3_1(a2521)
    | spl0_115
    | ~ spl0_119
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f1284,f777]) ).

fof(f1284,plain,
    ( c1_1(a2521)
    | ~ c3_1(a2521)
    | ~ spl0_119
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_158 ),
    inference(resolution,[],[f1232,f863]) ).

fof(f1232,plain,
    ( c0_1(a2521)
    | ~ spl0_119
    | ~ spl0_133
    | ~ spl0_158 ),
    inference(resolution,[],[f1222,f797]) ).

fof(f1220,plain,
    ( spl0_24
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1219]) ).

fof(f1219,plain,
    ( $false
    | spl0_24
    | ~ spl0_34
    | ~ spl0_35
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1218,f372]) ).

fof(f372,plain,
    ( c3_1(a2522)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f370,plain,
    ( spl0_34
  <=> c3_1(a2522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1218,plain,
    ( ~ c3_1(a2522)
    | spl0_24
    | ~ spl0_35
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1214,f322]) ).

fof(f322,plain,
    ( ~ c0_1(a2522)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl0_24
  <=> c0_1(a2522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1214,plain,
    ( c0_1(a2522)
    | ~ c3_1(a2522)
    | ~ spl0_35
    | ~ spl0_146 ),
    inference(resolution,[],[f927,f377]) ).

fof(f377,plain,
    ( c2_1(a2522)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_35
  <=> c2_1(a2522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1206,plain,
    ( spl0_27
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1205,plain,
    ( $false
    | spl0_27
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1204,f382]) ).

fof(f1204,plain,
    ( ~ c2_1(a2525)
    | spl0_27
    | ~ spl0_32
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1199,f337]) ).

fof(f1199,plain,
    ( c3_1(a2525)
    | ~ c2_1(a2525)
    | ~ spl0_32
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f362]) ).

fof(f1202,plain,
    ( ~ spl0_93
    | ~ spl0_97
    | ~ spl0_139
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f1201]) ).

fof(f1201,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_97
    | ~ spl0_139
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1200,f687]) ).

fof(f1200,plain,
    ( ~ c2_1(a2555)
    | ~ spl0_93
    | ~ spl0_139
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1194,f1108]) ).

fof(f1108,plain,
    ( ~ c3_1(a2555)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1106,plain,
    ( spl0_162
  <=> c3_1(a2555) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1194,plain,
    ( c3_1(a2555)
    | ~ c2_1(a2555)
    | ~ spl0_93
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f667]) ).

fof(f1181,plain,
    ( ~ spl0_98
    | ~ spl0_101
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1180]) ).

fof(f1180,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_101
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1172,f707]) ).

fof(f707,plain,
    ( c1_1(a2545)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f705,plain,
    ( spl0_101
  <=> c1_1(a2545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1172,plain,
    ( ~ c1_1(a2545)
    | ~ spl0_98
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(resolution,[],[f1167,f692]) ).

fof(f692,plain,
    ( c2_1(a2545)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f690,plain,
    ( spl0_98
  <=> c2_1(a2545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1167,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f952,f871]) ).

fof(f1179,plain,
    ( ~ spl0_72
    | ~ spl0_77
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1178]) ).

fof(f1178,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_77
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1168,f587]) ).

fof(f587,plain,
    ( c1_1(a2556)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f585,plain,
    ( spl0_77
  <=> c1_1(a2556) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1168,plain,
    ( ~ c1_1(a2556)
    | ~ spl0_72
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(resolution,[],[f1167,f562]) ).

fof(f1147,plain,
    ( spl0_115
    | ~ spl0_117
    | ~ spl0_119
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1146,plain,
    ( $false
    | spl0_115
    | ~ spl0_117
    | ~ spl0_119
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1145,f797]) ).

fof(f1145,plain,
    ( ~ c2_1(a2521)
    | spl0_115
    | ~ spl0_117
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1140,f777]) ).

fof(f1140,plain,
    ( c1_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_117
    | ~ spl0_132 ),
    inference(resolution,[],[f867,f787]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1128,plain,
    ( spl0_55
    | spl0_58
    | ~ spl0_63
    | ~ spl0_131
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1127]) ).

fof(f1127,plain,
    ( $false
    | spl0_55
    | spl0_58
    | ~ spl0_63
    | ~ spl0_131
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1126,f1040]) ).

fof(f1040,plain,
    ( ~ c3_1(a2564)
    | spl0_58
    | ~ spl0_63
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1034,f492]) ).

fof(f1034,plain,
    ( c1_1(a2564)
    | ~ c3_1(a2564)
    | ~ spl0_63
    | ~ spl0_131 ),
    inference(resolution,[],[f863,f517]) ).

fof(f1126,plain,
    ( c3_1(a2564)
    | spl0_55
    | ~ spl0_63
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1116,f517]) ).

fof(f1116,plain,
    ( ~ c0_1(a2564)
    | c3_1(a2564)
    | spl0_55
    | ~ spl0_136 ),
    inference(resolution,[],[f883,f477]) ).

fof(f1109,plain,
    ( ~ spl0_162
    | spl0_92
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1035,f862,f665,f660,f1106]) ).

fof(f1035,plain,
    ( c1_1(a2555)
    | ~ c3_1(a2555)
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(resolution,[],[f863,f667]) ).

fof(f1104,plain,
    ( spl0_92
    | ~ spl0_93
    | ~ spl0_97
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1103,f899,f685,f665,f660]) ).

fof(f1103,plain,
    ( c1_1(a2555)
    | ~ spl0_93
    | ~ spl0_97
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1088,f667]) ).

fof(f1088,plain,
    ( c1_1(a2555)
    | ~ c0_1(a2555)
    | ~ spl0_97
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f687]) ).

fof(f1085,plain,
    ( ~ spl0_94
    | spl0_87
    | ~ spl0_99
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1082,f890,f695,f635,f670]) ).

fof(f1082,plain,
    ( ~ c0_1(a2523)
    | spl0_87
    | ~ spl0_99
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1076,f637]) ).

fof(f1076,plain,
    ( c3_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_99
    | ~ spl0_138 ),
    inference(resolution,[],[f891,f697]) ).

fof(f1045,plain,
    ( ~ spl0_68
    | spl0_59
    | ~ spl0_65
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1042,f862,f525,f495,f540]) ).

fof(f540,plain,
    ( spl0_68
  <=> c3_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f495,plain,
    ( spl0_59
  <=> c1_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f525,plain,
    ( spl0_65
  <=> c0_1(a2548) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1042,plain,
    ( ~ c3_1(a2548)
    | spl0_59
    | ~ spl0_65
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1037,f497]) ).

fof(f497,plain,
    ( ~ c1_1(a2548)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f1037,plain,
    ( c1_1(a2548)
    | ~ c3_1(a2548)
    | ~ spl0_65
    | ~ spl0_131 ),
    inference(resolution,[],[f863,f527]) ).

fof(f527,plain,
    ( c0_1(a2548)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1031,plain,
    ( ~ spl0_69
    | ~ spl0_72
    | ~ spl0_77
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1030]) ).

fof(f1030,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_77
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1029,f547]) ).

fof(f1029,plain,
    ( ~ c3_1(a2556)
    | ~ spl0_72
    | ~ spl0_77
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1021,f587]) ).

fof(f1021,plain,
    ( ~ c1_1(a2556)
    | ~ c3_1(a2556)
    | ~ spl0_72
    | ~ spl0_130 ),
    inference(resolution,[],[f859,f562]) ).

fof(f1020,plain,
    ( spl0_157
    | spl0_143
    | spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f206,f951,f913,f988]) ).

fof(f206,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f1019,plain,
    ( spl0_158
    | spl0_133
    | spl0_140
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f206,f899,f870,f992]) ).

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

fof(f1018,plain,
    ( spl0_133
    | spl0_149
    | spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f206,f886,f940,f870]) ).

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

fof(f1017,plain,
    ( spl0_161
    | spl0_156
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f206,f862,f976,f1015]) ).

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

fof(f1013,plain,
    ( spl0_158
    | spl0_146
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f206,f895,f926,f992]) ).

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

fof(f1012,plain,
    ( spl0_149
    | spl0_130
    | spl0_138
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f203,f206,f890,f858,f940]) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f1011,plain,
    ( spl0_158
    | spl0_131
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f206,f895,f862,f992]) ).

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

fof(f1009,plain,
    ( spl0_150
    | spl0_154
    | spl0_140
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f202,f206,f899,f965,f943]) ).

fof(f202,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f1008,plain,
    ( spl0_146
    | spl0_148
    | spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f206,f965,f934,f926]) ).

fof(f204,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f998,plain,
    ( spl0_136
    | spl0_138
    | spl0_123
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f206,f815,f890,f882]) ).

fof(f815,plain,
    ( spl0_123
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f996,plain,
    ( spl0_153
    | spl0_151
    | spl0_102
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f206,f710,f947,f956]) ).

fof(f710,plain,
    ( spl0_102
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c1_1(X0)
      | c0_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f994,plain,
    ( spl0_158
    | spl0_133
    | spl0_106
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f206,f730,f870,f992]) ).

fof(f730,plain,
    ( spl0_106
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f990,plain,
    ( spl0_157
    | spl0_140
    | spl0_104
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f206,f720,f899,f988]) ).

fof(f720,plain,
    ( spl0_104
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f986,plain,
    ( spl0_147
    | spl0_137
    | spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f206,f725,f886,f930]) ).

fof(f725,plain,
    ( spl0_105
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f985,plain,
    ( spl0_142
    | spl0_131
    | spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f206,f725,f862,f909]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f984,plain,
    ( spl0_136
    | spl0_137
    | spl0_104
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f206,f720,f886,f882]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f983,plain,
    ( spl0_152
    | spl0_148
    | spl0_106
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f206,f730,f934,f951]) ).

fof(f194,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f982,plain,
    ( spl0_144
    | spl0_151
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f206,f600,f947,f917]) ).

fof(f600,plain,
    ( spl0_80
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f981,plain,
    ( spl0_145
    | spl0_155
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f206,f595,f970,f921]) ).

fof(f595,plain,
    ( spl0_79
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f978,plain,
    ( spl0_156
    | spl0_135
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f206,f595,f878,f976]) ).

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

fof(f974,plain,
    ( spl0_149
    | spl0_136
    | spl0_81
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f206,f605,f882,f940]) ).

fof(f605,plain,
    ( spl0_81
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp24
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f973,plain,
    ( spl0_132
    | spl0_136
    | spl0_81
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f206,f605,f882,f866]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp24
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f972,plain,
    ( spl0_155
    | spl0_148
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f206,f610,f934,f970]) ).

fof(f610,plain,
    ( spl0_82
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f968,plain,
    ( spl0_146
    | spl0_154
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f206,f595,f965,f926]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f963,plain,
    ( spl0_153
    | spl0_151
    | spl0_41
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f206,f405,f947,f956]) ).

fof(f405,plain,
    ( spl0_41
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c1_1(X0)
      | c0_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f962,plain,
    ( spl0_142
    | spl0_149
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f206,f415,f940,f909]) ).

fof(f415,plain,
    ( spl0_43
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f959,plain,
    ( spl0_131
    | spl0_152
    | spl0_45
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f206,f425,f951,f862]) ).

fof(f425,plain,
    ( spl0_45
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f958,plain,
    ( spl0_153
    | spl0_141
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f206,f290,f905,f956]) ).

fof(f290,plain,
    ( spl0_18
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f953,plain,
    ( spl0_147
    | spl0_152
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f206,f310,f951,f930]) ).

fof(f310,plain,
    ( spl0_22
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f949,plain,
    ( spl0_151
    | spl0_134
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f206,f225,f874,f947]) ).

fof(f225,plain,
    ( spl0_5
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f945,plain,
    ( spl0_149
    | spl0_150
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f206,f215,f943,f940]) ).

fof(f215,plain,
    ( spl0_3
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f938,plain,
    ( spl0_140
    | spl0_122
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f206,f590,f810,f899]) ).

fof(f810,plain,
    ( spl0_122
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f590,plain,
    ( spl0_78
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp18
      | hskp0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f937,plain,
    ( spl0_137
    | spl0_103
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f206,f595,f715,f886]) ).

fof(f715,plain,
    ( spl0_103
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp20
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f936,plain,
    ( spl0_148
    | spl0_103
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f206,f610,f715,f934]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp20
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f923,plain,
    ( spl0_145
    | spl0_103
    | spl0_38
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f206,f390,f715,f921]) ).

fof(f390,plain,
    ( spl0_38
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp20
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f915,plain,
    ( spl0_143
    | spl0_105
    | spl0_42
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f206,f410,f725,f913]) ).

fof(f410,plain,
    ( spl0_42
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp4
      | ~ c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f907,plain,
    ( spl0_141
    | spl0_102
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f206,f435,f710,f905]) ).

fof(f435,plain,
    ( spl0_47
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp1
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f903,plain,
    ( spl0_137
    | spl0_104
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f144,f206,f415,f720,f886]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp2
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f902,plain,
    ( spl0_136
    | spl0_105
    | spl0_41
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f206,f405,f725,f882]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp4
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f901,plain,
    ( spl0_140
    | spl0_106
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f206,f420,f730,f899]) ).

fof(f420,plain,
    ( spl0_44
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp3
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f897,plain,
    ( spl0_139
    | spl0_103
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f206,f420,f715,f895]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp20
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f893,plain,
    ( spl0_135
    | spl0_81
    | spl0_44
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f206,f420,f605,f878]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp24
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f892,plain,
    ( spl0_138
    | spl0_80
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f206,f415,f600,f890]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp10
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f888,plain,
    ( spl0_137
    | spl0_39
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f206,f430,f395,f886]) ).

fof(f395,plain,
    ( spl0_39
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f430,plain,
    ( spl0_46
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp22
      | hskp30
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f884,plain,
    ( spl0_136
    | spl0_38
    | spl0_40
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f206,f400,f390,f882]) ).

fof(f400,plain,
    ( spl0_40
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp19
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f880,plain,
    ( spl0_135
    | spl0_39
    | spl0_41
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f206,f405,f395,f878]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp30
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f872,plain,
    ( spl0_133
    | spl0_105
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f206,f300,f725,f870]) ).

fof(f300,plain,
    ( spl0_20
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp4
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f868,plain,
    ( spl0_132
    | spl0_83
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f206,f290,f615,f866]) ).

fof(f615,plain,
    ( spl0_83
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp8
      | hskp7
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f860,plain,
    ( spl0_130
    | spl0_47
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f206,f220,f435,f858]) ).

fof(f220,plain,
    ( spl0_4
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp31
      | hskp23
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f853,plain,
    ( spl0_106
    | spl0_104
    | spl0_19 ),
    inference(avatar_split_clause,[],[f40,f295,f720,f730]) ).

fof(f295,plain,
    ( spl0_19
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f40,axiom,
    ( hskp27
    | hskp2
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f851,plain,
    ( spl0_123
    | spl0_39
    | spl0_2 ),
    inference(avatar_split_clause,[],[f35,f210,f395,f815]) ).

fof(f210,plain,
    ( spl0_2
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f35,axiom,
    ( hskp26
    | hskp30
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f850,plain,
    ( spl0_122
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1,f605,f810]) ).

fof(f1,axiom,
    ( hskp24
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f849,plain,
    ( spl0_47
    | spl0_19 ),
    inference(avatar_split_clause,[],[f2,f295,f435]) ).

fof(f2,axiom,
    ( hskp27
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f848,plain,
    ( spl0_129
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f62,f815,f845]) ).

fof(f62,axiom,
    ( ~ hskp21
    | c1_1(a2551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f843,plain,
    ( spl0_128
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f61,f815,f840]) ).

fof(f61,axiom,
    ( ~ hskp21
    | c0_1(a2551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f838,plain,
    ( ~ spl0_127
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f135,f810,f835]) ).

fof(f135,axiom,
    ( ~ hskp0
    | ~ c1_1(a2516) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f833,plain,
    ( ~ spl0_126
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f99,f815,f830]) ).

fof(f99,axiom,
    ( ~ hskp21
    | ~ c2_1(a2551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f828,plain,
    ( ~ spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f136,f810,f825]) ).

fof(f136,axiom,
    ( ~ hskp0
    | ~ c2_1(a2516) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f823,plain,
    ( ~ spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f134,f810,f820]) ).

fof(f134,axiom,
    ( ~ hskp0
    | ~ c0_1(a2516) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f813,plain,
    ( spl0_1
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f34,f810,f206]) ).

fof(f34,axiom,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f808,plain,
    ( spl0_121
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f87,f720,f805]) ).

fof(f87,axiom,
    ( ~ hskp2
    | c1_1(a2518) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f803,plain,
    ( spl0_120
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f88,f710,f800]) ).

fof(f88,axiom,
    ( ~ hskp1
    | c2_1(a2517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f798,plain,
    ( spl0_119
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f85,f725,f795]) ).

fof(f85,axiom,
    ( ~ hskp4
    | c2_1(a2521) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f793,plain,
    ( spl0_118
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f63,f715,f790]) ).

fof(f63,axiom,
    ( ~ hskp20
    | c2_1(a2549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f788,plain,
    ( spl0_117
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f86,f725,f785]) ).

fof(f86,axiom,
    ( ~ hskp4
    | c3_1(a2521) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f783,plain,
    ( ~ spl0_116
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f101,f715,f780]) ).

fof(f101,axiom,
    ( ~ hskp20
    | ~ c1_1(a2549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f778,plain,
    ( ~ spl0_115
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f126,f725,f775]) ).

fof(f126,axiom,
    ( ~ hskp4
    | ~ c1_1(a2521) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f773,plain,
    ( ~ spl0_114
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f128,f730,f770]) ).

fof(f128,axiom,
    ( ~ hskp3
    | ~ c2_1(a2519) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f768,plain,
    ( ~ spl0_113
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f131,f720,f765]) ).

fof(f131,axiom,
    ( ~ hskp2
    | ~ c3_1(a2518) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f763,plain,
    ( ~ spl0_112
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f129,f730,f760]) ).

fof(f129,axiom,
    ( ~ hskp3
    | ~ c3_1(a2519) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f758,plain,
    ( ~ spl0_111
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f133,f710,f755]) ).

fof(f133,axiom,
    ( ~ hskp1
    | ~ c3_1(a2517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f753,plain,
    ( ~ spl0_110
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f132,f710,f750]) ).

fof(f132,axiom,
    ( ~ hskp1
    | ~ c0_1(a2517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f748,plain,
    ( ~ spl0_109
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f130,f720,f745]) ).

fof(f130,axiom,
    ( ~ hskp2
    | ~ c0_1(a2518) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f743,plain,
    ( ~ spl0_108
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f100,f715,f740]) ).

fof(f100,axiom,
    ( ~ hskp20
    | ~ c0_1(a2549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f738,plain,
    ( ~ spl0_107
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f127,f730,f735]) ).

fof(f127,axiom,
    ( ~ hskp3
    | ~ c0_1(a2519) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f708,plain,
    ( spl0_101
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f66,f590,f705]) ).

fof(f66,axiom,
    ( ~ hskp18
    | c1_1(a2545) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f698,plain,
    ( spl0_99
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f82,f610,f695]) ).

fof(f82,axiom,
    ( ~ hskp6
    | c1_1(a2523) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f693,plain,
    ( spl0_98
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f67,f590,f690]) ).

fof(f67,axiom,
    ( ~ hskp18
    | c2_1(a2545) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f688,plain,
    ( spl0_97
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f58,f605,f685]) ).

fof(f58,axiom,
    ( ~ hskp24
    | c2_1(a2555) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f683,plain,
    ( spl0_96
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f80,f615,f680]) ).

fof(f80,axiom,
    ( ~ hskp7
    | c3_1(a2524) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f678,plain,
    ( spl0_95
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f74,f600,f675]) ).

fof(f74,axiom,
    ( ~ hskp10
    | c3_1(a2528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f673,plain,
    ( spl0_94
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f81,f610,f670]) ).

fof(f81,axiom,
    ( ~ hskp6
    | c0_1(a2523) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f668,plain,
    ( spl0_93
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f57,f605,f665]) ).

fof(f57,axiom,
    ( ~ hskp24
    | c0_1(a2555) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f663,plain,
    ( ~ spl0_92
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f94,f605,f660]) ).

fof(f94,axiom,
    ( ~ hskp24
    | ~ c1_1(a2555) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f658,plain,
    ( ~ spl0_91
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f111,f595,f655]) ).

fof(f111,axiom,
    ( ~ hskp14
    | ~ c1_1(a2536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f653,plain,
    ( ~ spl0_90
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f120,f600,f650]) ).

fof(f120,axiom,
    ( ~ hskp10
    | ~ c1_1(a2528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f648,plain,
    ( ~ spl0_89
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f123,f615,f645]) ).

fof(f123,axiom,
    ( ~ hskp7
    | ~ c2_1(a2524) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f643,plain,
    ( ~ spl0_88
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f112,f595,f640]) ).

fof(f112,axiom,
    ( ~ hskp14
    | ~ c3_1(a2536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f638,plain,
    ( ~ spl0_87
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f124,f610,f635]) ).

fof(f124,axiom,
    ( ~ hskp6
    | ~ c3_1(a2523) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f633,plain,
    ( ~ spl0_86
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f119,f600,f630]) ).

fof(f119,axiom,
    ( ~ hskp10
    | ~ c0_1(a2528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f623,plain,
    ( ~ spl0_84
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f110,f595,f620]) ).

fof(f110,axiom,
    ( ~ hskp14
    | ~ c0_1(a2536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f608,plain,
    ( spl0_1
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f10,f605,f206]) ).

fof(f10,axiom,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f588,plain,
    ( spl0_77
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f47,f415,f585]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c1_1(a2556) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f583,plain,
    ( spl0_76
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f45,f395,f580]) ).

fof(f45,axiom,
    ( ~ hskp30
    | c1_1(a2558) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f578,plain,
    ( spl0_75
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f75,f405,f575]) ).

fof(f75,axiom,
    ( ~ hskp9
    | c1_1(a2526) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f573,plain,
    ( spl0_74
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f71,f410,f570]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c1_1(a2534) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f568,plain,
    ( spl0_73
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f46,f395,f565]) ).

fof(f46,axiom,
    ( ~ hskp30
    | c2_1(a2558) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f563,plain,
    ( spl0_72
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f48,f415,f560]) ).

fof(f48,axiom,
    ( ~ hskp29
    | c2_1(a2556) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f558,plain,
    ( spl0_71
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f51,f425,f555]) ).

fof(f51,axiom,
    ( ~ hskp28
    | c2_1(a2529) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f553,plain,
    ( spl0_70
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f60,f430,f550]) ).

fof(f60,axiom,
    ( ~ hskp22
    | c2_1(a2552) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f548,plain,
    ( spl0_69
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f49,f415,f545]) ).

fof(f49,axiom,
    ( ~ hskp29
    | c3_1(a2556) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f543,plain,
    ( spl0_68
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f65,f390,f540]) ).

fof(f65,axiom,
    ( ~ hskp19
    | c3_1(a2548) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f538,plain,
    ( spl0_67
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f52,f425,f535]) ).

fof(f52,axiom,
    ( ~ hskp28
    | c3_1(a2529) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f533,plain,
    ( spl0_66
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f76,f405,f530]) ).

fof(f76,axiom,
    ( ~ hskp9
    | c3_1(a2526) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f528,plain,
    ( spl0_65
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f64,f390,f525]) ).

fof(f64,axiom,
    ( ~ hskp19
    | c0_1(a2548) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f523,plain,
    ( spl0_64
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f69,f400,f520]) ).

fof(f69,axiom,
    ( ~ hskp16
    | c0_1(a2540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f518,plain,
    ( spl0_63
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f56,f420,f515]) ).

fof(f56,axiom,
    ( ~ hskp25
    | c0_1(a2564) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f513,plain,
    ( spl0_62
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f50,f425,f510]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c0_1(a2529) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f508,plain,
    ( spl0_61
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f44,f395,f505]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c0_1(a2558) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f503,plain,
    ( spl0_60
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f59,f435,f500]) ).

fof(f59,axiom,
    ( ~ hskp23
    | c0_1(a2553) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f498,plain,
    ( ~ spl0_59
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f102,f390,f495]) ).

fof(f102,axiom,
    ( ~ hskp19
    | ~ c1_1(a2548) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f493,plain,
    ( ~ spl0_58
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f92,f420,f490]) ).

fof(f92,axiom,
    ( ~ hskp25
    | ~ c1_1(a2564) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f483,plain,
    ( ~ spl0_56
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f95,f435,f480]) ).

fof(f95,axiom,
    ( ~ hskp23
    | ~ c1_1(a2553) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f478,plain,
    ( ~ spl0_55
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f93,f420,f475]) ).

fof(f93,axiom,
    ( ~ hskp25
    | ~ c2_1(a2564) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f473,plain,
    ( ~ spl0_54
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f106,f400,f470]) ).

fof(f106,axiom,
    ( ~ hskp16
    | ~ c2_1(a2540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f468,plain,
    ( ~ spl0_53
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f114,f410,f465]) ).

fof(f114,axiom,
    ( ~ hskp13
    | ~ c2_1(a2534) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f463,plain,
    ( ~ spl0_52
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f98,f430,f460]) ).

fof(f98,axiom,
    ( ~ hskp22
    | ~ c3_1(a2552) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f458,plain,
    ( ~ spl0_51
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f96,f435,f455]) ).

fof(f96,axiom,
    ( ~ hskp23
    | ~ c3_1(a2553) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f453,plain,
    ( ~ spl0_50
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f107,f400,f450]) ).

fof(f107,axiom,
    ( ~ hskp16
    | ~ c3_1(a2540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f448,plain,
    ( ~ spl0_49
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f121,f405,f445]) ).

fof(f121,axiom,
    ( ~ hskp9
    | ~ c0_1(a2526) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f443,plain,
    ( ~ spl0_48
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f113,f410,f440]) ).

fof(f113,axiom,
    ( ~ hskp13
    | ~ c0_1(a2534) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f388,plain,
    ( spl0_37
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f53,f295,f385]) ).

fof(f53,axiom,
    ( ~ hskp27
    | c1_1(a2614) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f383,plain,
    ( spl0_36
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f78,f290,f380]) ).

fof(f78,axiom,
    ( ~ hskp8
    | c2_1(a2525) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f378,plain,
    ( spl0_35
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f83,f310,f375]) ).

fof(f83,axiom,
    ( ~ hskp5
    | c2_1(a2522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f373,plain,
    ( spl0_34
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f84,f310,f370]) ).

fof(f84,axiom,
    ( ~ hskp5
    | c3_1(a2522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f368,plain,
    ( spl0_33
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f70,f300,f365]) ).

fof(f70,axiom,
    ( ~ hskp15
    | c3_1(a2539) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f363,plain,
    ( spl0_32
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f77,f290,f360]) ).

fof(f77,axiom,
    ( ~ hskp8
    | c0_1(a2525) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f348,plain,
    ( ~ spl0_29
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f109,f300,f345]) ).

fof(f109,axiom,
    ( ~ hskp15
    | ~ c2_1(a2539) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f343,plain,
    ( ~ spl0_28
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f89,f295,f340]) ).

fof(f89,axiom,
    ( ~ hskp27
    | ~ c2_1(a2614) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f338,plain,
    ( ~ spl0_27
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f122,f290,f335]) ).

fof(f122,axiom,
    ( ~ hskp8
    | ~ c3_1(a2525) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f333,plain,
    ( ~ spl0_26
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f295,f330]) ).

fof(f90,axiom,
    ( ~ hskp27
    | ~ c3_1(a2614) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f323,plain,
    ( ~ spl0_24
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f125,f310,f320]) ).

fof(f125,axiom,
    ( ~ hskp5
    | ~ c0_1(a2522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f318,plain,
    ( ~ spl0_23
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f108,f300,f315]) ).

fof(f108,axiom,
    ( ~ hskp15
    | ~ c0_1(a2539) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f288,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f72,f215,f285]) ).

fof(f72,axiom,
    ( ~ hskp11
    | c1_1(a2531) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f283,plain,
    ( spl0_16
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f42,f220,f280]) ).

fof(f42,axiom,
    ( ~ hskp31
    | c1_1(a2597) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f278,plain,
    ( spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f73,f215,f275]) ).

fof(f73,axiom,
    ( ~ hskp11
    | c2_1(a2531) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f268,plain,
    ( spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f55,f210,f265]) ).

fof(f55,axiom,
    ( ~ hskp26
    | c3_1(a2601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f263,plain,
    ( spl0_12
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f68,f225,f260]) ).

fof(f68,axiom,
    ( ~ hskp17
    | c3_1(a2541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f258,plain,
    ( spl0_11
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f41,f220,f255]) ).

fof(f41,axiom,
    ( ~ hskp31
    | c0_1(a2597) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f253,plain,
    ( spl0_10
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f54,f210,f250]) ).

fof(f54,axiom,
    ( ~ hskp26
    | c0_1(a2601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f248,plain,
    ( ~ spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f104,f225,f245]) ).

fof(f104,axiom,
    ( ~ hskp17
    | ~ c1_1(a2541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f243,plain,
    ( ~ spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f91,f210,f240]) ).

fof(f91,axiom,
    ( ~ hskp26
    | ~ c2_1(a2601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f238,plain,
    ( ~ spl0_7
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f105,f225,f235]) ).

fof(f105,axiom,
    ( ~ hskp17
    | ~ c2_1(a2541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f233,plain,
    ( ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f118,f215,f230]) ).

fof(f118,axiom,
    ( ~ hskp11
    | ~ c3_1(a2531) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SYN489-1 : TPTP v8.1.2. Released v2.1.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:27:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (10178)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (10179)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  % (10181)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)
% 0.14/0.39  % (10183)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39  % (10182)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39  % (10180)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39  % (10184)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39  % (10185)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)
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.21/0.40  TRYING [3]
% 0.21/0.40  TRYING [3]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.43  % (10184)First to succeed.
% 0.21/0.44  % (10184)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10178"
% 0.21/0.44  % (10184)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45  % (10184)------------------------------
% 0.21/0.45  % (10184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45  % (10184)Termination reason: Refutation
% 0.21/0.45  
% 0.21/0.45  % (10184)Memory used [KB]: 1910
% 0.21/0.45  % (10184)Time elapsed: 0.054 s
% 0.21/0.45  % (10184)Instructions burned: 88 (million)
% 0.21/0.45  % (10178)Success in time 0.076 s
%------------------------------------------------------------------------------