TSTP Solution File: SYN455-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN455-1 : 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 : n019.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 12:10:29 EDT 2024

% Result   : Unsatisfiable 0.40s 0.57s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  241
% Syntax   : Number of formulae    :  647 (   1 unt;   0 def)
%            Number of atoms       : 2069 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2514 (1092   ~;1291   |;   0   &)
%                                         ( 131 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  162 ( 161 usr; 158 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  117 ( 117   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3043,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f273,f283,f338,f343,f348,f363,f368,f378,f388,f393,f398,f408,f413,f423,f428,f433,f443,f448,f453,f458,f463,f468,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f608,f628,f633,f648,f653,f658,f663,f668,f673,f678,f683,f688,f693,f698,f703,f708,f713,f718,f723,f728,f733,f738,f743,f748,f758,f763,f768,f773,f778,f783,f788,f798,f803,f808,f810,f811,f815,f819,f835,f847,f852,f868,f877,f882,f883,f884,f888,f892,f896,f901,f905,f906,f912,f915,f924,f926,f930,f935,f936,f938,f940,f944,f948,f949,f953,f954,f955,f971,f1171,f1191,f1355,f1407,f1416,f1500,f1531,f1556,f1580,f1582,f1655,f1691,f1711,f1727,f1757,f1772,f1778,f1781,f1799,f1801,f1843,f1876,f1882,f1887,f1926,f1954,f1972,f1976,f2000,f2150,f2264,f2347,f2372,f2395,f2397,f2424,f2450,f2455,f2481,f2499,f2516,f2525,f2545,f2578,f2685,f2744,f2781,f2799,f2899,f2908,f2926,f2980,f2982,f3002,f3042]) ).

fof(f3042,plain,
    ( spl0_95
    | spl0_97
    | spl0_100
    | ~ spl0_138
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f3041]) ).

fof(f3041,plain,
    ( $false
    | spl0_95
    | spl0_97
    | spl0_100
    | ~ spl0_138
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3040,f667]) ).

fof(f667,plain,
    ( ~ c0_1(a901)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_97
  <=> c0_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3040,plain,
    ( c0_1(a901)
    | spl0_95
    | spl0_100
    | ~ spl0_138
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3037,f657]) ).

fof(f657,plain,
    ( ~ c1_1(a901)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f655,plain,
    ( spl0_95
  <=> c1_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f3037,plain,
    ( c1_1(a901)
    | c0_1(a901)
    | spl0_95
    | spl0_100
    | ~ spl0_138
    | ~ spl0_152 ),
    inference(resolution,[],[f2890,f863]) ).

fof(f863,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2890,plain,
    ( ~ c2_1(a901)
    | spl0_95
    | spl0_100
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2855,f657]) ).

fof(f2855,plain,
    ( ~ c2_1(a901)
    | c1_1(a901)
    | spl0_100
    | ~ spl0_152 ),
    inference(resolution,[],[f943,f682]) ).

fof(f682,plain,
    ( ~ c3_1(a901)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_100
  <=> c3_1(a901) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f943,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f942,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3002,plain,
    ( spl0_168
    | spl0_101
    | ~ spl0_105
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3001,f903,f705,f685,f1879]) ).

fof(f1879,plain,
    ( spl0_168
  <=> c1_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f685,plain,
    ( spl0_101
  <=> c3_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f705,plain,
    ( spl0_105
  <=> c0_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f903,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3001,plain,
    ( c1_1(a906)
    | spl0_101
    | ~ spl0_105
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f2997,f687]) ).

fof(f687,plain,
    ( ~ c3_1(a906)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f2997,plain,
    ( c3_1(a906)
    | c1_1(a906)
    | ~ spl0_105
    | ~ spl0_147 ),
    inference(resolution,[],[f904,f707]) ).

fof(f707,plain,
    ( c0_1(a906)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f904,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f2982,plain,
    ( ~ spl0_171
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2981,f833,f805,f800,f1997]) ).

fof(f1997,plain,
    ( spl0_171
  <=> c0_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f800,plain,
    ( spl0_124
  <=> c3_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f805,plain,
    ( spl0_125
  <=> c2_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f833,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2981,plain,
    ( ~ c0_1(a900)
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2962,f807]) ).

fof(f807,plain,
    ( c2_1(a900)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f2962,plain,
    ( ~ c2_1(a900)
    | ~ c0_1(a900)
    | ~ spl0_124
    | ~ spl0_131 ),
    inference(resolution,[],[f834,f802]) ).

fof(f802,plain,
    ( c3_1(a900)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f834,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f2980,plain,
    ( ~ spl0_175
    | ~ spl0_80
    | ~ spl0_82
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2979,f833,f590,f580,f2700]) ).

fof(f2700,plain,
    ( spl0_175
  <=> c2_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f580,plain,
    ( spl0_80
  <=> c0_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f590,plain,
    ( spl0_82
  <=> c3_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2979,plain,
    ( ~ c2_1(a916)
    | ~ spl0_80
    | ~ spl0_82
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2961,f582]) ).

fof(f582,plain,
    ( c0_1(a916)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f2961,plain,
    ( ~ c2_1(a916)
    | ~ c0_1(a916)
    | ~ spl0_82
    | ~ spl0_131 ),
    inference(resolution,[],[f834,f592]) ).

fof(f592,plain,
    ( c3_1(a916)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f2926,plain,
    ( spl0_162
    | spl0_72
    | ~ spl0_127
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2917,f862,f817,f540,f1413]) ).

fof(f1413,plain,
    ( spl0_162
  <=> c1_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f540,plain,
    ( spl0_72
  <=> c2_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f817,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2917,plain,
    ( c1_1(a914)
    | spl0_72
    | ~ spl0_127
    | ~ spl0_138 ),
    inference(resolution,[],[f2905,f542]) ).

fof(f542,plain,
    ( ~ c2_1(a914)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f2905,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_127
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f818,f863]) ).

fof(f818,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f2908,plain,
    ( spl0_166
    | spl0_37
    | spl0_45
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2907,f862,f405,f365,f1784]) ).

fof(f1784,plain,
    ( spl0_166
  <=> c1_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f365,plain,
    ( spl0_37
  <=> c0_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f405,plain,
    ( spl0_45
  <=> c2_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2907,plain,
    ( c1_1(a905)
    | spl0_37
    | spl0_45
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2906,f367]) ).

fof(f367,plain,
    ( ~ c0_1(a905)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f2906,plain,
    ( c1_1(a905)
    | c0_1(a905)
    | spl0_45
    | ~ spl0_138 ),
    inference(resolution,[],[f407,f863]) ).

fof(f407,plain,
    ( ~ c2_1(a905)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f2899,plain,
    ( spl0_93
    | spl0_99
    | ~ spl0_111
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2871,f942,f735,f675,f645]) ).

fof(f645,plain,
    ( spl0_93
  <=> c1_1(a910) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f675,plain,
    ( spl0_99
  <=> c3_1(a910) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f735,plain,
    ( spl0_111
  <=> c2_1(a910) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2871,plain,
    ( c1_1(a910)
    | spl0_99
    | ~ spl0_111
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2847,f737]) ).

fof(f737,plain,
    ( c2_1(a910)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f2847,plain,
    ( ~ c2_1(a910)
    | c1_1(a910)
    | spl0_99
    | ~ spl0_152 ),
    inference(resolution,[],[f943,f677]) ).

fof(f677,plain,
    ( ~ c3_1(a910)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f2799,plain,
    ( spl0_176
    | spl0_9
    | ~ spl0_18
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2798,f886,f270,f225,f2713]) ).

fof(f2713,plain,
    ( spl0_176
  <=> c1_1(a938) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f225,plain,
    ( spl0_9
  <=> c0_1(a938) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f270,plain,
    ( spl0_18
  <=> c3_1(a938) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f886,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2798,plain,
    ( c1_1(a938)
    | spl0_9
    | ~ spl0_18
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2791,f227]) ).

fof(f227,plain,
    ( ~ c0_1(a938)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f2791,plain,
    ( c0_1(a938)
    | c1_1(a938)
    | ~ spl0_18
    | ~ spl0_143 ),
    inference(resolution,[],[f887,f272]) ).

fof(f272,plain,
    ( c3_1(a938)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f2781,plain,
    ( spl0_175
    | ~ spl0_74
    | ~ spl0_82
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2780,f866,f590,f550,f2700]) ).

fof(f550,plain,
    ( spl0_74
  <=> c1_1(a916) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f866,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2780,plain,
    ( c2_1(a916)
    | ~ spl0_74
    | ~ spl0_82
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2770,f592]) ).

fof(f2770,plain,
    ( c2_1(a916)
    | ~ c3_1(a916)
    | ~ spl0_74
    | ~ spl0_139 ),
    inference(resolution,[],[f867,f552]) ).

fof(f552,plain,
    ( c1_1(a916)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f2744,plain,
    ( ~ spl0_176
    | spl0_9
    | ~ spl0_20
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2743,f845,f280,f225,f2713]) ).

fof(f280,plain,
    ( spl0_20
  <=> c2_1(a938) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f845,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2743,plain,
    ( ~ c1_1(a938)
    | spl0_9
    | ~ spl0_20
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2728,f227]) ).

fof(f2728,plain,
    ( c0_1(a938)
    | ~ c1_1(a938)
    | ~ spl0_20
    | ~ spl0_134 ),
    inference(resolution,[],[f846,f282]) ).

fof(f282,plain,
    ( c2_1(a938)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f846,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f2685,plain,
    ( spl0_96
    | spl0_98
    | ~ spl0_109
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2684]) ).

fof(f2684,plain,
    ( $false
    | spl0_96
    | spl0_98
    | ~ spl0_109
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2683,f662]) ).

fof(f662,plain,
    ( ~ c0_1(a921)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl0_96
  <=> c0_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2683,plain,
    ( c0_1(a921)
    | spl0_98
    | ~ spl0_109
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2670,f672]) ).

fof(f672,plain,
    ( ~ c3_1(a921)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_98
  <=> c3_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2670,plain,
    ( c3_1(a921)
    | c0_1(a921)
    | ~ spl0_109
    | ~ spl0_137 ),
    inference(resolution,[],[f859,f727]) ).

fof(f727,plain,
    ( c2_1(a921)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_109
  <=> c2_1(a921) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f859,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2578,plain,
    ( spl0_162
    | spl0_72
    | ~ spl0_78
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2577,f817,f570,f540,f1413]) ).

fof(f570,plain,
    ( spl0_78
  <=> c0_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2577,plain,
    ( c1_1(a914)
    | spl0_72
    | ~ spl0_78
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2570,f542]) ).

fof(f2570,plain,
    ( c2_1(a914)
    | c1_1(a914)
    | ~ spl0_78
    | ~ spl0_127 ),
    inference(resolution,[],[f818,f572]) ).

fof(f572,plain,
    ( c0_1(a914)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f2545,plain,
    ( spl0_70
    | ~ spl0_85
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2544]) ).

fof(f2544,plain,
    ( $false
    | spl0_70
    | ~ spl0_85
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2534,f532]) ).

fof(f532,plain,
    ( ~ c0_1(a912)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_70
  <=> c0_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2534,plain,
    ( c0_1(a912)
    | ~ spl0_85
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(resolution,[],[f2526,f607]) ).

fof(f607,plain,
    ( c2_1(a912)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f605,plain,
    ( spl0_85
  <=> c2_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2526,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f859,f838]) ).

fof(f838,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2525,plain,
    ( spl0_101
    | ~ spl0_130
    | ~ spl0_146
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f2524]) ).

fof(f2524,plain,
    ( $false
    | spl0_101
    | ~ spl0_130
    | ~ spl0_146
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2514,f687]) ).

fof(f2514,plain,
    ( c3_1(a906)
    | ~ spl0_130
    | ~ spl0_146
    | ~ spl0_168 ),
    inference(resolution,[],[f2460,f1881]) ).

fof(f1881,plain,
    ( c1_1(a906)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1879]) ).

fof(f2460,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_130
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f830,f899]) ).

fof(f899,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f898,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f830,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2516,plain,
    ( spl0_157
    | ~ spl0_104
    | ~ spl0_130
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2502,f898,f829,f700,f1002]) ).

fof(f1002,plain,
    ( spl0_157
  <=> c3_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f700,plain,
    ( spl0_104
  <=> c1_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2502,plain,
    ( c3_1(a942)
    | ~ spl0_104
    | ~ spl0_130
    | ~ spl0_146 ),
    inference(resolution,[],[f2460,f702]) ).

fof(f702,plain,
    ( c1_1(a942)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f2499,plain,
    ( spl0_69
    | ~ spl0_84
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f2498]) ).

fof(f2498,plain,
    ( $false
    | spl0_69
    | ~ spl0_84
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f2491,f527]) ).

fof(f527,plain,
    ( ~ c0_1(a924)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f525,plain,
    ( spl0_69
  <=> c0_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f2491,plain,
    ( c0_1(a924)
    | ~ spl0_84
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(resolution,[],[f2459,f602]) ).

fof(f602,plain,
    ( c2_1(a924)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl0_84
  <=> c2_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2459,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_132
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f859,f838]) ).

fof(f2481,plain,
    ( spl0_36
    | ~ spl0_56
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2480,plain,
    ( $false
    | spl0_36
    | ~ spl0_56
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2474,f362]) ).

fof(f362,plain,
    ( ~ c0_1(a954)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_36
  <=> c0_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2474,plain,
    ( c0_1(a954)
    | ~ spl0_56
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(resolution,[],[f2458,f462]) ).

fof(f462,plain,
    ( c3_1(a954)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl0_56
  <=> c3_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2458,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f947,f838]) ).

fof(f947,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f946,plain,
    ( spl0_153
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2455,plain,
    ( spl0_73
    | ~ spl0_75
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2454]) ).

fof(f2454,plain,
    ( $false
    | spl0_73
    | ~ spl0_75
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2441,f557]) ).

fof(f557,plain,
    ( c1_1(a907)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl0_75
  <=> c1_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f2441,plain,
    ( ~ c1_1(a907)
    | spl0_73
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(resolution,[],[f2405,f547]) ).

fof(f547,plain,
    ( ~ c2_1(a907)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_73
  <=> c2_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2405,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f867,f899]) ).

fof(f2450,plain,
    ( spl0_42
    | ~ spl0_48
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2449,plain,
    ( $false
    | spl0_42
    | ~ spl0_48
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2438,f422]) ).

fof(f422,plain,
    ( c1_1(a937)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_48
  <=> c1_1(a937) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2438,plain,
    ( ~ c1_1(a937)
    | spl0_42
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(resolution,[],[f2405,f392]) ).

fof(f392,plain,
    ( ~ c2_1(a937)
    | spl0_42 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl0_42
  <=> c2_1(a937) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2424,plain,
    ( spl0_110
    | spl0_101
    | ~ spl0_146
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2423,f1879,f898,f685,f730]) ).

fof(f730,plain,
    ( spl0_110
  <=> c2_1(a906) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2423,plain,
    ( c2_1(a906)
    | spl0_101
    | ~ spl0_146
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2422,f1881]) ).

fof(f2422,plain,
    ( c2_1(a906)
    | ~ c1_1(a906)
    | spl0_101
    | ~ spl0_146 ),
    inference(resolution,[],[f687,f899]) ).

fof(f2397,plain,
    ( spl0_119
    | spl0_117
    | ~ spl0_121
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2396,f898,f785,f765,f775]) ).

fof(f775,plain,
    ( spl0_119
  <=> c2_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f765,plain,
    ( spl0_117
  <=> c3_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f785,plain,
    ( spl0_121
  <=> c1_1(a908) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2396,plain,
    ( c2_1(a908)
    | spl0_117
    | ~ spl0_121
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2385,f787]) ).

fof(f787,plain,
    ( c1_1(a908)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f2385,plain,
    ( c2_1(a908)
    | ~ c1_1(a908)
    | spl0_117
    | ~ spl0_146 ),
    inference(resolution,[],[f899,f767]) ).

fof(f767,plain,
    ( ~ c3_1(a908)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f2395,plain,
    ( spl0_116
    | spl0_118
    | spl0_120
    | ~ spl0_138
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2394]) ).

fof(f2394,plain,
    ( $false
    | spl0_116
    | spl0_118
    | spl0_120
    | ~ spl0_138
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2393,f2268]) ).

fof(f2268,plain,
    ( c1_1(a946)
    | spl0_116
    | spl0_120
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2261,f762]) ).

fof(f762,plain,
    ( ~ c0_1(a946)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_116
  <=> c0_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f2261,plain,
    ( c1_1(a946)
    | c0_1(a946)
    | spl0_120
    | ~ spl0_138 ),
    inference(resolution,[],[f863,f782]) ).

fof(f782,plain,
    ( ~ c2_1(a946)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f780,plain,
    ( spl0_120
  <=> c2_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f2393,plain,
    ( ~ c1_1(a946)
    | spl0_118
    | spl0_120
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2386,f782]) ).

fof(f2386,plain,
    ( c2_1(a946)
    | ~ c1_1(a946)
    | spl0_118
    | ~ spl0_146 ),
    inference(resolution,[],[f899,f772]) ).

fof(f772,plain,
    ( ~ c3_1(a946)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl0_118
  <=> c3_1(a946) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f2372,plain,
    ( spl0_118
    | spl0_120
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

fof(f2371,plain,
    ( $false
    | spl0_118
    | spl0_120
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2364,f782]) ).

fof(f2364,plain,
    ( c2_1(a946)
    | spl0_118
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(resolution,[],[f2352,f772]) ).

fof(f2352,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_144
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f899,f891]) ).

fof(f891,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_144
  <=> ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2347,plain,
    ( spl0_43
    | spl0_32
    | spl0_41
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2346,f890,f385,f340,f395]) ).

fof(f395,plain,
    ( spl0_43
  <=> c2_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f340,plain,
    ( spl0_32
  <=> c1_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f385,plain,
    ( spl0_41
  <=> c3_1(a936) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2346,plain,
    ( c2_1(a936)
    | spl0_32
    | spl0_41
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2339,f342]) ).

fof(f342,plain,
    ( ~ c1_1(a936)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f2339,plain,
    ( c2_1(a936)
    | c1_1(a936)
    | spl0_41
    | ~ spl0_144 ),
    inference(resolution,[],[f891,f387]) ).

fof(f387,plain,
    ( ~ c3_1(a936)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f2264,plain,
    ( spl0_143
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2263,f862,f837,f886]) ).

fof(f2263,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(duplicate_literal_removal,[],[f2246]) ).

fof(f2246,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(resolution,[],[f863,f838]) ).

fof(f2150,plain,
    ( ~ spl0_75
    | spl0_73
    | ~ spl0_79
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2144,f821,f575,f545,f555]) ).

fof(f575,plain,
    ( spl0_79
  <=> c0_1(a907) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f821,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2144,plain,
    ( ~ c1_1(a907)
    | spl0_73
    | ~ spl0_79
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f2140,f547]) ).

fof(f2140,plain,
    ( c2_1(a907)
    | ~ c1_1(a907)
    | ~ spl0_79
    | ~ spl0_128 ),
    inference(resolution,[],[f822,f577]) ).

fof(f577,plain,
    ( c0_1(a907)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f822,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f2000,plain,
    ( ~ spl0_124
    | spl0_171
    | ~ spl0_125
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1460,f837,f805,f1997,f800]) ).

fof(f1460,plain,
    ( c0_1(a900)
    | ~ c3_1(a900)
    | ~ spl0_125
    | ~ spl0_132 ),
    inference(resolution,[],[f838,f807]) ).

fof(f1976,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1975,plain,
    ( $false
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1964,f807]) ).

fof(f1964,plain,
    ( ~ c2_1(a900)
    | ~ spl0_124
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(resolution,[],[f1960,f802]) ).

fof(f1960,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f834,f838]) ).

fof(f1972,plain,
    ( ~ spl0_112
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1971]) ).

fof(f1971,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1961,f742]) ).

fof(f742,plain,
    ( c2_1(a942)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_112
  <=> c2_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1961,plain,
    ( ~ c2_1(a942)
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_157 ),
    inference(resolution,[],[f1960,f1004]) ).

fof(f1004,plain,
    ( c3_1(a942)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1954,plain,
    ( spl0_70
    | ~ spl0_76
    | ~ spl0_85
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1953]) ).

fof(f1953,plain,
    ( $false
    | spl0_70
    | ~ spl0_76
    | ~ spl0_85
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1952,f562]) ).

fof(f562,plain,
    ( c1_1(a912)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_76
  <=> c1_1(a912) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1952,plain,
    ( ~ c1_1(a912)
    | spl0_70
    | ~ spl0_85
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1941,f532]) ).

fof(f1941,plain,
    ( c0_1(a912)
    | ~ c1_1(a912)
    | ~ spl0_85
    | ~ spl0_134 ),
    inference(resolution,[],[f846,f607]) ).

fof(f1926,plain,
    ( spl0_68
    | ~ spl0_83
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1925,plain,
    ( $false
    | spl0_68
    | ~ spl0_83
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f1920,f522]) ).

fof(f522,plain,
    ( ~ c0_1(a923)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f520,plain,
    ( spl0_68
  <=> c0_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1920,plain,
    ( c0_1(a923)
    | ~ spl0_83
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(resolution,[],[f1889,f597]) ).

fof(f597,plain,
    ( c3_1(a923)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f595,plain,
    ( spl0_83
  <=> c3_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1889,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f947,f838]) ).

fof(f1887,plain,
    ( spl0_101
    | ~ spl0_105
    | ~ spl0_110
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1886,f849,f730,f705,f685]) ).

fof(f849,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1886,plain,
    ( c3_1(a906)
    | ~ spl0_105
    | ~ spl0_110
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1130,f707]) ).

fof(f1130,plain,
    ( c3_1(a906)
    | ~ c0_1(a906)
    | ~ spl0_110
    | ~ spl0_135 ),
    inference(resolution,[],[f732,f850]) ).

fof(f850,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f732,plain,
    ( c2_1(a906)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f1882,plain,
    ( spl0_168
    | spl0_101
    | ~ spl0_105
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1616,f903,f705,f685,f1879]) ).

fof(f1616,plain,
    ( c3_1(a906)
    | c1_1(a906)
    | ~ spl0_105
    | ~ spl0_147 ),
    inference(resolution,[],[f904,f707]) ).

fof(f1876,plain,
    ( spl0_45
    | ~ spl0_54
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f1875]) ).

fof(f1875,plain,
    ( $false
    | spl0_45
    | ~ spl0_54
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f1874,f452]) ).

fof(f452,plain,
    ( c3_1(a905)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl0_54
  <=> c3_1(a905) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1874,plain,
    ( ~ c3_1(a905)
    | spl0_45
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f1873,f407]) ).

fof(f1873,plain,
    ( c2_1(a905)
    | ~ c3_1(a905)
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(resolution,[],[f1786,f867]) ).

fof(f1786,plain,
    ( c1_1(a905)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1784]) ).

fof(f1843,plain,
    ( spl0_66
    | spl0_69
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1842,plain,
    ( $false
    | spl0_66
    | spl0_69
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f1833,f527]) ).

fof(f1833,plain,
    ( c0_1(a924)
    | spl0_66
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(resolution,[],[f1828,f512]) ).

fof(f512,plain,
    ( ~ c1_1(a924)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f510,plain,
    ( spl0_66
  <=> c1_1(a924) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1828,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_143
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f952,f887]) ).

fof(f952,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f951,plain,
    ( spl0_154
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1801,plain,
    ( spl0_67
    | spl0_71
    | ~ spl0_77
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1800,f903,f565,f535,f515]) ).

fof(f515,plain,
    ( spl0_67
  <=> c1_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f535,plain,
    ( spl0_71
  <=> c3_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f565,plain,
    ( spl0_77
  <=> c0_1(a939) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1800,plain,
    ( c1_1(a939)
    | spl0_71
    | ~ spl0_77
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1611,f537]) ).

fof(f537,plain,
    ( ~ c3_1(a939)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f1611,plain,
    ( c3_1(a939)
    | c1_1(a939)
    | ~ spl0_77
    | ~ spl0_147 ),
    inference(resolution,[],[f904,f567]) ).

fof(f567,plain,
    ( c0_1(a939)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f1799,plain,
    ( spl0_65
    | spl0_68
    | ~ spl0_83
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1796,f886,f595,f520,f505]) ).

fof(f505,plain,
    ( spl0_65
  <=> c1_1(a923) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1796,plain,
    ( c1_1(a923)
    | spl0_68
    | ~ spl0_83
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1795,f522]) ).

fof(f1795,plain,
    ( c0_1(a923)
    | c1_1(a923)
    | ~ spl0_83
    | ~ spl0_143 ),
    inference(resolution,[],[f597,f887]) ).

fof(f1781,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_132
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1780,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_132
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1779,f1468]) ).

fof(f1468,plain,
    ( c0_1(a900)
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1460,f802]) ).

fof(f1779,plain,
    ( ~ c0_1(a900)
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1763,f797]) ).

fof(f797,plain,
    ( c1_1(a900)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_123
  <=> c1_1(a900) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1763,plain,
    ( ~ c1_1(a900)
    | ~ c0_1(a900)
    | ~ spl0_124
    | ~ spl0_150 ),
    inference(resolution,[],[f923,f802]) ).

fof(f923,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f922,plain,
    ( spl0_150
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1778,plain,
    ( ~ spl0_74
    | ~ spl0_80
    | ~ spl0_82
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1777]) ).

fof(f1777,plain,
    ( $false
    | ~ spl0_74
    | ~ spl0_80
    | ~ spl0_82
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1776,f582]) ).

fof(f1776,plain,
    ( ~ c0_1(a916)
    | ~ spl0_74
    | ~ spl0_82
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1762,f552]) ).

fof(f1762,plain,
    ( ~ c1_1(a916)
    | ~ c0_1(a916)
    | ~ spl0_82
    | ~ spl0_150 ),
    inference(resolution,[],[f923,f592]) ).

fof(f1772,plain,
    ( ~ spl0_104
    | ~ spl0_107
    | ~ spl0_150
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1771]) ).

fof(f1771,plain,
    ( $false
    | ~ spl0_104
    | ~ spl0_107
    | ~ spl0_150
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1770,f717]) ).

fof(f717,plain,
    ( c0_1(a942)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl0_107
  <=> c0_1(a942) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1770,plain,
    ( ~ c0_1(a942)
    | ~ spl0_104
    | ~ spl0_150
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f1760,f702]) ).

fof(f1760,plain,
    ( ~ c1_1(a942)
    | ~ c0_1(a942)
    | ~ spl0_150
    | ~ spl0_157 ),
    inference(resolution,[],[f923,f1004]) ).

fof(f1757,plain,
    ( spl0_39
    | ~ spl0_49
    | ~ spl0_57
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1756]) ).

fof(f1756,plain,
    ( $false
    | spl0_39
    | ~ spl0_49
    | ~ spl0_57
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1489,f1408]) ).

fof(f1408,plain,
    ( ~ c0_1(a926)
    | spl0_39
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1405,f377]) ).

fof(f377,plain,
    ( ~ c3_1(a926)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_39
  <=> c3_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1405,plain,
    ( c3_1(a926)
    | ~ c0_1(a926)
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(resolution,[],[f467,f850]) ).

fof(f467,plain,
    ( c2_1(a926)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f465,plain,
    ( spl0_57
  <=> c2_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1489,plain,
    ( c0_1(a926)
    | ~ spl0_49
    | ~ spl0_57
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1482,f427]) ).

fof(f427,plain,
    ( c1_1(a926)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_49
  <=> c1_1(a926) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1482,plain,
    ( c0_1(a926)
    | ~ c1_1(a926)
    | ~ spl0_57
    | ~ spl0_134 ),
    inference(resolution,[],[f846,f467]) ).

fof(f1727,plain,
    ( spl0_37
    | ~ spl0_54
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1726]) ).

fof(f1726,plain,
    ( $false
    | spl0_37
    | ~ spl0_54
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f1722,f367]) ).

fof(f1722,plain,
    ( c0_1(a905)
    | ~ spl0_54
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(resolution,[],[f1712,f452]) ).

fof(f1712,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_132
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f947,f838]) ).

fof(f1711,plain,
    ( spl0_94
    | ~ spl0_106
    | ~ spl0_113
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f1710]) ).

fof(f1710,plain,
    ( $false
    | spl0_94
    | ~ spl0_106
    | ~ spl0_113
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1709,f712]) ).

fof(f712,plain,
    ( c0_1(a902)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_106
  <=> c0_1(a902) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1709,plain,
    ( ~ c0_1(a902)
    | spl0_94
    | ~ spl0_113
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f1705,f652]) ).

fof(f652,plain,
    ( ~ c1_1(a902)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_94
  <=> c1_1(a902) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1705,plain,
    ( c1_1(a902)
    | ~ c0_1(a902)
    | ~ spl0_113
    | ~ spl0_151 ),
    inference(resolution,[],[f929,f747]) ).

fof(f747,plain,
    ( c2_1(a902)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_113
  <=> c2_1(a902) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f929,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl0_151
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1691,plain,
    ( spl0_116
    | spl0_118
    | spl0_120
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1690]) ).

fof(f1690,plain,
    ( $false
    | spl0_116
    | spl0_118
    | spl0_120
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1689,f762]) ).

fof(f1689,plain,
    ( c0_1(a946)
    | spl0_118
    | spl0_120
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1674,f782]) ).

fof(f1674,plain,
    ( c2_1(a946)
    | c0_1(a946)
    | spl0_118
    | ~ spl0_145 ),
    inference(resolution,[],[f895,f772]) ).

fof(f895,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_145
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1655,plain,
    ( spl0_72
    | ~ spl0_81
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f1654]) ).

fof(f1654,plain,
    ( $false
    | spl0_72
    | ~ spl0_81
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f1653,f587]) ).

fof(f587,plain,
    ( c3_1(a914)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f585,plain,
    ( spl0_81
  <=> c3_1(a914) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1653,plain,
    ( ~ c3_1(a914)
    | spl0_72
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f1652,f542]) ).

fof(f1652,plain,
    ( c2_1(a914)
    | ~ c3_1(a914)
    | ~ spl0_139
    | ~ spl0_162 ),
    inference(resolution,[],[f1415,f867]) ).

fof(f1415,plain,
    ( c1_1(a914)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f1582,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1581]) ).

fof(f1581,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1568,f797]) ).

fof(f1568,plain,
    ( ~ c1_1(a900)
    | ~ spl0_124
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(resolution,[],[f1562,f802]) ).

fof(f1562,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f876,f867]) ).

fof(f876,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f875,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1580,plain,
    ( ~ spl0_74
    | ~ spl0_82
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1579,plain,
    ( $false
    | ~ spl0_74
    | ~ spl0_82
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1567,f552]) ).

fof(f1567,plain,
    ( ~ c1_1(a916)
    | ~ spl0_82
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(resolution,[],[f1562,f592]) ).

fof(f1556,plain,
    ( spl0_72
    | ~ spl0_78
    | ~ spl0_81
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1555]) ).

fof(f1555,plain,
    ( $false
    | spl0_72
    | ~ spl0_78
    | ~ spl0_81
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1554,f572]) ).

fof(f1554,plain,
    ( ~ c0_1(a914)
    | spl0_72
    | ~ spl0_81
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1548,f542]) ).

fof(f1548,plain,
    ( c2_1(a914)
    | ~ c0_1(a914)
    | ~ spl0_81
    | ~ spl0_142 ),
    inference(resolution,[],[f880,f587]) ).

fof(f880,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f879,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1531,plain,
    ( spl0_71
    | ~ spl0_77
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1530,plain,
    ( $false
    | spl0_71
    | ~ spl0_77
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1518,f567]) ).

fof(f1518,plain,
    ( ~ c0_1(a939)
    | spl0_71
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(resolution,[],[f1513,f537]) ).

fof(f1513,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f855,f850]) ).

fof(f855,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f854,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1500,plain,
    ( spl0_36
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1499]) ).

fof(f1499,plain,
    ( $false
    | spl0_36
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1498,f462]) ).

fof(f1498,plain,
    ( ~ c3_1(a954)
    | spl0_36
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1493,f362]) ).

fof(f1493,plain,
    ( c0_1(a954)
    | ~ c3_1(a954)
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(resolution,[],[f1331,f838]) ).

fof(f1331,plain,
    ( c2_1(a954)
    | ~ spl0_50
    | ~ spl0_56
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1314,f462]) ).

fof(f1314,plain,
    ( c2_1(a954)
    | ~ c3_1(a954)
    | ~ spl0_50
    | ~ spl0_139 ),
    inference(resolution,[],[f867,f432]) ).

fof(f432,plain,
    ( c1_1(a954)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_50
  <=> c1_1(a954) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1416,plain,
    ( ~ spl0_81
    | spl0_162
    | ~ spl0_78
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1410,f813,f570,f1413,f585]) ).

fof(f813,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1410,plain,
    ( c1_1(a914)
    | ~ c3_1(a914)
    | ~ spl0_78
    | ~ spl0_126 ),
    inference(resolution,[],[f572,f814]) ).

fof(f814,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f1407,plain,
    ( spl0_39
    | ~ spl0_57
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | spl0_39
    | ~ spl0_57
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1404,f377]) ).

fof(f1404,plain,
    ( c3_1(a926)
    | ~ spl0_57
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(resolution,[],[f467,f963]) ).

fof(f963,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f859,f850]) ).

fof(f1355,plain,
    ( ~ spl0_108
    | spl0_102
    | ~ spl0_103
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1333,f866,f695,f690,f720]) ).

fof(f720,plain,
    ( spl0_108
  <=> c3_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f690,plain,
    ( spl0_102
  <=> c2_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f695,plain,
    ( spl0_103
  <=> c1_1(a917) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1333,plain,
    ( ~ c3_1(a917)
    | spl0_102
    | ~ spl0_103
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1318,f692]) ).

fof(f692,plain,
    ( ~ c2_1(a917)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f1318,plain,
    ( c2_1(a917)
    | ~ c3_1(a917)
    | ~ spl0_103
    | ~ spl0_139 ),
    inference(resolution,[],[f867,f697]) ).

fof(f697,plain,
    ( c1_1(a917)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f1191,plain,
    ( spl0_31
    | spl0_46
    | ~ spl0_52
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1190]) ).

fof(f1190,plain,
    ( $false
    | spl0_31
    | spl0_46
    | ~ spl0_52
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1189,f337]) ).

fof(f337,plain,
    ( ~ c1_1(a904)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f335,plain,
    ( spl0_31
  <=> c1_1(a904) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1189,plain,
    ( c1_1(a904)
    | spl0_46
    | ~ spl0_52
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1185,f412]) ).

fof(f412,plain,
    ( ~ c2_1(a904)
    | spl0_46 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl0_46
  <=> c2_1(a904) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1185,plain,
    ( c2_1(a904)
    | c1_1(a904)
    | ~ spl0_52
    | ~ spl0_127 ),
    inference(resolution,[],[f818,f442]) ).

fof(f442,plain,
    ( c0_1(a904)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f440,plain,
    ( spl0_52
  <=> c0_1(a904) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1171,plain,
    ( spl0_33
    | ~ spl0_53
    | ~ spl0_55
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1170,f813,f455,f445,f345]) ).

fof(f345,plain,
    ( spl0_33
  <=> c1_1(a960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f445,plain,
    ( spl0_53
  <=> c0_1(a960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f455,plain,
    ( spl0_55
  <=> c3_1(a960) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1170,plain,
    ( c1_1(a960)
    | ~ spl0_53
    | ~ spl0_55
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1152,f457]) ).

fof(f457,plain,
    ( c3_1(a960)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f1152,plain,
    ( c1_1(a960)
    | ~ c3_1(a960)
    | ~ spl0_53
    | ~ spl0_126 ),
    inference(resolution,[],[f814,f447]) ).

fof(f447,plain,
    ( c0_1(a960)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f971,plain,
    ( spl0_99
    | ~ spl0_111
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f967,f858,f849,f735,f675]) ).

fof(f967,plain,
    ( c3_1(a910)
    | ~ spl0_111
    | ~ spl0_135
    | ~ spl0_137 ),
    inference(resolution,[],[f963,f737]) ).

fof(f955,plain,
    ( spl0_145
    | spl0_154
    | spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f186,f854,f951,f894]) ).

fof(f186,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f176,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f954,plain,
    ( spl0_138
    | spl0_137
    | spl0_147
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f186,f903,f858,f862]) ).

fof(f179,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f953,plain,
    ( spl0_154
    | spl0_136
    | spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f186,f845,f854,f951]) ).

fof(f180,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f949,plain,
    ( spl0_138
    | spl0_135
    | spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f186,f829,f849,f862]) ).

fof(f182,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f948,plain,
    ( spl0_138
    | spl0_153
    | spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f186,f922,f946,f862]) ).

fof(f181,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f944,plain,
    ( spl0_152
    | spl0_139
    | spl0_134
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f186,f845,f866,f942]) ).

fof(f183,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f940,plain,
    ( spl0_135
    | spl0_150
    | spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f186,f898,f922,f849]) ).

fof(f184,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f938,plain,
    ( spl0_151
    | spl0_146
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f186,f790,f898,f928]) ).

fof(f790,plain,
    ( spl0_122
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp27
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f936,plain,
    ( spl0_137
    | spl0_132
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f186,f615,f837,f858]) ).

fof(f615,plain,
    ( spl0_87
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f935,plain,
    ( spl0_145
    | spl0_127
    | spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f186,f620,f817,f894]) ).

fof(f620,plain,
    ( spl0_88
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f930,plain,
    ( spl0_151
    | spl0_128
    | spl0_92
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f186,f640,f821,f928]) ).

fof(f640,plain,
    ( spl0_92
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f926,plain,
    ( spl0_126
    | spl0_150
    | spl0_91
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f186,f635,f922,f813]) ).

fof(f635,plain,
    ( spl0_91
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f924,plain,
    ( spl0_127
    | spl0_150
    | spl0_64
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f186,f500,f922,f817]) ).

fof(f500,plain,
    ( spl0_64
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp15
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f915,plain,
    ( spl0_146
    | spl0_141
    | spl0_27
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f186,f315,f875,f898]) ).

fof(f315,plain,
    ( spl0_27
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp16
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f912,plain,
    ( spl0_146
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f186,f866,f898]) ).

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

fof(f906,plain,
    ( spl0_132
    | spl0_114
    | spl0_90
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f186,f630,f750,f837]) ).

fof(f750,plain,
    ( spl0_114
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f630,plain,
    ( spl0_90
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp13
      | hskp7
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f905,plain,
    ( spl0_147
    | spl0_114
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f186,f610,f750,f903]) ).

fof(f610,plain,
    ( spl0_86
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp30
      | hskp7
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f901,plain,
    ( spl0_142
    | spl0_114
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f186,f615,f750,f879]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp7
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f896,plain,
    ( spl0_145
    | spl0_122
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f186,f475,f790,f894]) ).

fof(f475,plain,
    ( spl0_59
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f129,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp27
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f892,plain,
    ( spl0_144
    | spl0_122
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f186,f470,f790,f890]) ).

fof(f470,plain,
    ( spl0_58
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f130,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp27
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f888,plain,
    ( spl0_143
    | spl0_114
    | spl0_61
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f186,f485,f750,f886]) ).

fof(f485,plain,
    ( spl0_61
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f133,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp7
      | ~ c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f884,plain,
    ( spl0_134
    | spl0_114
    | spl0_62
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f186,f490,f750,f845]) ).

fof(f490,plain,
    ( spl0_62
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp14
      | hskp7
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f883,plain,
    ( spl0_139
    | spl0_115
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f186,f475,f755,f866]) ).

fof(f755,plain,
    ( spl0_115
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp21
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f882,plain,
    ( spl0_137
    | spl0_89
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f186,f480,f625,f858]) ).

fof(f625,plain,
    ( spl0_89
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f480,plain,
    ( spl0_60
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp12
      | ~ c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f877,plain,
    ( spl0_141
    | spl0_89
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f186,f470,f625,f875]) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp12
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f868,plain,
    ( spl0_139
    | spl0_115
    | spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f186,f295,f755,f866]) ).

fof(f295,plain,
    ( spl0_23
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp21
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f852,plain,
    ( spl0_127
    | spl0_89
    | spl0_28
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f186,f320,f625,f817]) ).

fof(f320,plain,
    ( spl0_28
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | hskp12
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f847,plain,
    ( spl0_134
    | spl0_90
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f186,f325,f630,f845]) ).

fof(f325,plain,
    ( spl0_29
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp13
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f835,plain,
    ( spl0_131
    | spl0_64
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f186,f300,f500,f833]) ).

fof(f300,plain,
    ( spl0_24
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp15
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f819,plain,
    ( spl0_127
    | spl0_26
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f186,f190,f310,f817]) ).

fof(f310,plain,
    ( spl0_26
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f190,plain,
    ( spl0_2
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp19
      | hskp18
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f815,plain,
    ( spl0_126
    | spl0_60
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f186,f480,f813]) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f811,plain,
    ( spl0_115
    | spl0_90
    | spl0_89 ),
    inference(avatar_split_clause,[],[f34,f625,f630,f755]) ).

fof(f34,axiom,
    ( hskp12
    | hskp13
    | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f810,plain,
    ( spl0_63
    | spl0_62
    | spl0_25 ),
    inference(avatar_split_clause,[],[f33,f305,f490,f495]) ).

fof(f495,plain,
    ( spl0_63
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f305,plain,
    ( spl0_25
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f33,axiom,
    ( hskp4
    | hskp14
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f808,plain,
    ( spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f45,f790,f805]) ).

fof(f45,axiom,
    ( ~ hskp27
    | c2_1(a900) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f803,plain,
    ( spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f46,f790,f800]) ).

fof(f46,axiom,
    ( ~ hskp27
    | c3_1(a900) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f798,plain,
    ( spl0_123
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f44,f790,f795]) ).

fof(f44,axiom,
    ( ~ hskp27
    | c1_1(a900) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f788,plain,
    ( spl0_121
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f72,f750,f785]) ).

fof(f72,axiom,
    ( ~ hskp7
    | c1_1(a908) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f783,plain,
    ( ~ spl0_120
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f90,f755,f780]) ).

fof(f90,axiom,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f778,plain,
    ( ~ spl0_119
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f114,f750,f775]) ).

fof(f114,axiom,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f773,plain,
    ( ~ spl0_118
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f91,f755,f770]) ).

fof(f91,axiom,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f768,plain,
    ( ~ spl0_117
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f115,f750,f765]) ).

fof(f115,axiom,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f763,plain,
    ( ~ spl0_116
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f89,f755,f760]) ).

fof(f89,axiom,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f758,plain,
    ( spl0_1
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f10,f755,f186]) ).

fof(f10,axiom,
    ( ~ hskp21
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f748,plain,
    ( spl0_113
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f81,f635,f745]) ).

fof(f81,axiom,
    ( ~ hskp1
    | c2_1(a902) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f743,plain,
    ( spl0_112
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f37,f610,f740]) ).

fof(f37,axiom,
    ( ~ hskp30
    | c2_1(a942) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f738,plain,
    ( spl0_111
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f70,f620,f735]) ).

fof(f70,axiom,
    ( ~ hskp9
    | c2_1(a910) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f733,plain,
    ( spl0_110
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f76,f615,f730]) ).

fof(f76,axiom,
    ( ~ hskp5
    | c2_1(a906) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f728,plain,
    ( spl0_109
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f63,f630,f725]) ).

fof(f63,axiom,
    ( ~ hskp13
    | c2_1(a921) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f723,plain,
    ( spl0_108
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f65,f625,f720]) ).

fof(f65,axiom,
    ( ~ hskp12
    | c3_1(a917) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f718,plain,
    ( spl0_107
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f35,f610,f715]) ).

fof(f35,axiom,
    ( ~ hskp30
    | c0_1(a942) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f713,plain,
    ( spl0_106
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f80,f635,f710]) ).

fof(f80,axiom,
    ( ~ hskp1
    | c0_1(a902) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f708,plain,
    ( spl0_105
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f75,f615,f705]) ).

fof(f75,axiom,
    ( ~ hskp5
    | c0_1(a906) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f703,plain,
    ( spl0_104
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f36,f610,f700]) ).

fof(f36,axiom,
    ( ~ hskp30
    | c1_1(a942) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f698,plain,
    ( spl0_103
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f64,f625,f695]) ).

fof(f64,axiom,
    ( ~ hskp12
    | c1_1(a917) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f693,plain,
    ( ~ spl0_102
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f107,f625,f690]) ).

fof(f107,axiom,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f688,plain,
    ( ~ spl0_101
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f117,f615,f685]) ).

fof(f117,axiom,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f683,plain,
    ( ~ spl0_100
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f127,f640,f680]) ).

fof(f127,axiom,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f678,plain,
    ( ~ spl0_99
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f111,f620,f675]) ).

fof(f111,axiom,
    ( ~ hskp9
    | ~ c3_1(a910) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f673,plain,
    ( ~ spl0_98
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f106,f630,f670]) ).

fof(f106,axiom,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f668,plain,
    ( ~ spl0_97
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f125,f640,f665]) ).

fof(f125,axiom,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f663,plain,
    ( ~ spl0_96
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f105,f630,f660]) ).

fof(f105,axiom,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f658,plain,
    ( ~ spl0_95
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f126,f640,f655]) ).

fof(f126,axiom,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f653,plain,
    ( ~ spl0_94
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f124,f635,f650]) ).

fof(f124,axiom,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f648,plain,
    ( ~ spl0_93
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f110,f620,f645]) ).

fof(f110,axiom,
    ( ~ hskp9
    | ~ c1_1(a910) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f633,plain,
    ( spl0_1
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f18,f630,f186]) ).

fof(f18,axiom,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f628,plain,
    ( spl0_1
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f19,f625,f186]) ).

fof(f19,axiom,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f608,plain,
    ( spl0_85
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f69,f475,f605]) ).

fof(f69,axiom,
    ( ~ hskp10
    | c2_1(a912) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f603,plain,
    ( spl0_84
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f61,f500,f600]) ).

fof(f61,axiom,
    ( ~ hskp15
    | c2_1(a924) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f598,plain,
    ( spl0_83
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f62,f490,f595]) ).

fof(f62,axiom,
    ( ~ hskp14
    | c3_1(a923) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f593,plain,
    ( spl0_82
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f43,f480,f590]) ).

fof(f43,axiom,
    ( ~ hskp28
    | c3_1(a916) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f588,plain,
    ( spl0_81
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f67,f470,f585]) ).

fof(f67,axiom,
    ( ~ hskp11
    | c3_1(a914) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f583,plain,
    ( spl0_80
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f41,f480,f580]) ).

fof(f41,axiom,
    ( ~ hskp28
    | c0_1(a916) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f578,plain,
    ( spl0_79
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f73,f485,f575]) ).

fof(f73,axiom,
    ( ~ hskp6
    | c0_1(a907) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f573,plain,
    ( spl0_78
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f66,f470,f570]) ).

fof(f66,axiom,
    ( ~ hskp11
    | c0_1(a914) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f568,plain,
    ( spl0_77
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f55,f495,f565]) ).

fof(f55,axiom,
    ( ~ hskp20
    | c0_1(a939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f563,plain,
    ( spl0_76
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f68,f475,f560]) ).

fof(f68,axiom,
    ( ~ hskp10
    | c1_1(a912) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f558,plain,
    ( spl0_75
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f74,f485,f555]) ).

fof(f74,axiom,
    ( ~ hskp6
    | c1_1(a907) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f553,plain,
    ( spl0_74
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f42,f480,f550]) ).

fof(f42,axiom,
    ( ~ hskp28
    | c1_1(a916) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f548,plain,
    ( ~ spl0_73
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f116,f485,f545]) ).

fof(f116,axiom,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f543,plain,
    ( ~ spl0_72
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f108,f470,f540]) ).

fof(f108,axiom,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f538,plain,
    ( ~ spl0_71
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f93,f495,f535]) ).

fof(f93,axiom,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f533,plain,
    ( ~ spl0_70
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f109,f475,f530]) ).

fof(f109,axiom,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f528,plain,
    ( ~ spl0_69
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f101,f500,f525]) ).

fof(f101,axiom,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f523,plain,
    ( ~ spl0_68
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f103,f490,f520]) ).

fof(f103,axiom,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f518,plain,
    ( ~ spl0_67
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f92,f495,f515]) ).

fof(f92,axiom,
    ( ~ hskp20
    | ~ c1_1(a939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f513,plain,
    ( ~ spl0_66
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f102,f500,f510]) ).

fof(f102,axiom,
    ( ~ hskp15
    | ~ c1_1(a924) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f508,plain,
    ( ~ spl0_65
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f104,f490,f505]) ).

fof(f104,axiom,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f468,plain,
    ( spl0_57
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f60,f315,f465]) ).

fof(f60,axiom,
    ( ~ hskp16
    | c2_1(a926) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f463,plain,
    ( spl0_56
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f52,f300,f460]) ).

fof(f52,axiom,
    ( ~ hskp23
    | c3_1(a954) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f458,plain,
    ( spl0_55
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f50,f295,f455]) ).

fof(f50,axiom,
    ( ~ hskp25
    | c3_1(a960) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f453,plain,
    ( spl0_54
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f77,f305,f450]) ).

fof(f77,axiom,
    ( ~ hskp4
    | c3_1(a905) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f448,plain,
    ( spl0_53
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f49,f295,f445]) ).

fof(f49,axiom,
    ( ~ hskp25
    | c0_1(a960) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f443,plain,
    ( spl0_52
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f78,f325,f440]) ).

fof(f78,axiom,
    ( ~ hskp3
    | c0_1(a904) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f433,plain,
    ( spl0_50
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f51,f300,f430]) ).

fof(f51,axiom,
    ( ~ hskp23
    | c1_1(a954) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f428,plain,
    ( spl0_49
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f59,f315,f425]) ).

fof(f59,axiom,
    ( ~ hskp16
    | c1_1(a926) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f423,plain,
    ( spl0_48
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f58,f310,f420]) ).

fof(f58,axiom,
    ( ~ hskp18
    | c1_1(a937) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f413,plain,
    ( ~ spl0_46
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f121,f325,f410]) ).

fof(f121,axiom,
    ( ~ hskp3
    | ~ c2_1(a904) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f408,plain,
    ( ~ spl0_45
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f119,f305,f405]) ).

fof(f119,axiom,
    ( ~ hskp4
    | ~ c2_1(a905) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f398,plain,
    ( ~ spl0_43
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f98,f320,f395]) ).

fof(f98,axiom,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f393,plain,
    ( ~ spl0_42
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f96,f310,f390]) ).

fof(f96,axiom,
    ( ~ hskp18
    | ~ c2_1(a937) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f388,plain,
    ( ~ spl0_41
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f99,f320,f385]) ).

fof(f99,axiom,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f378,plain,
    ( ~ spl0_39
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f100,f315,f375]) ).

fof(f100,axiom,
    ( ~ hskp16
    | ~ c3_1(a926) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f368,plain,
    ( ~ spl0_37
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f118,f305,f365]) ).

fof(f118,axiom,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f363,plain,
    ( ~ spl0_36
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f87,f300,f360]) ).

fof(f87,axiom,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f348,plain,
    ( ~ spl0_33
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f83,f295,f345]) ).

fof(f83,axiom,
    ( ~ hskp25
    | ~ c1_1(a960) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f343,plain,
    ( ~ spl0_32
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f97,f320,f340]) ).

fof(f97,axiom,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f338,plain,
    ( ~ spl0_31
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f120,f325,f335]) ).

fof(f120,axiom,
    ( ~ hskp3
    | ~ c1_1(a904) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f283,plain,
    ( spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f56,f190,f280]) ).

fof(f56,axiom,
    ( ~ hskp19
    | c2_1(a938) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f273,plain,
    ( spl0_18
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f57,f190,f270]) ).

fof(f57,axiom,
    ( ~ hskp19
    | c3_1(a938) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f228,plain,
    ( ~ spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f94,f190,f225]) ).

fof(f94,axiom,
    ( ~ hskp19
    | ~ c0_1(a938) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.27  % Problem    : SYN455-1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.29  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.51  % Computer : n019.cluster.edu
% 0.13/0.51  % Model    : x86_64 x86_64
% 0.13/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.51  % Memory   : 8042.1875MB
% 0.13/0.51  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.51  % CPULimit   : 300
% 0.13/0.51  % WCLimit    : 300
% 0.13/0.51  % DateTime   : Fri May  3 17:51:38 EDT 2024
% 0.13/0.51  % CPUTime    : 
% 0.13/0.51  % (26022)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.53  % (26028)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.53  % (26026)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.53  % (26027)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.53  % (26024)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.53  % (26025)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.53  % (26029)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.53  Detected minimum model sizes of [1]
% 0.13/0.53  Detected maximum model sizes of [31]
% 0.13/0.53  TRYING [1]
% 0.13/0.54  TRYING [2]
% 0.13/0.54  Detected minimum model sizes of [1]
% 0.13/0.54  Detected maximum model sizes of [31]
% 0.13/0.54  TRYING [1]
% 0.13/0.54  TRYING [2]
% 0.13/0.54  Detected minimum model sizes of [1]
% 0.13/0.54  Detected maximum model sizes of [31]
% 0.13/0.54  TRYING [3]
% 0.13/0.54  TRYING [1]
% 0.13/0.54  TRYING [2]
% 0.13/0.54  TRYING [3]
% 0.13/0.54  % (26023)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.54  TRYING [3]
% 0.13/0.54  Detected minimum model sizes of [1]
% 0.13/0.54  Detected maximum model sizes of [31]
% 0.13/0.54  TRYING [1]
% 0.13/0.54  TRYING [2]
% 0.13/0.54  TRYING [4]
% 0.13/0.54  TRYING [4]
% 0.13/0.55  TRYING [3]
% 0.13/0.55  TRYING [4]
% 0.13/0.55  TRYING [4]
% 0.40/0.56  TRYING [5]
% 0.40/0.56  TRYING [5]
% 0.40/0.56  TRYING [5]
% 0.40/0.57  % (26028)First to succeed.
% 0.40/0.57  TRYING [5]
% 0.40/0.57  % (26028)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26022"
% 0.40/0.57  % (26028)Refutation found. Thanks to Tanya!
% 0.40/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.40/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.58  % (26028)------------------------------
% 0.40/0.58  % (26028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.58  % (26028)Termination reason: Refutation
% 0.40/0.58  
% 0.40/0.58  % (26028)Memory used [KB]: 1781
% 0.40/0.58  % (26028)Time elapsed: 0.043 s
% 0.40/0.58  % (26028)Instructions burned: 71 (million)
% 0.40/0.58  % (26022)Success in time 0.053 s
%------------------------------------------------------------------------------