TSTP Solution File: SYN509-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN509-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:11:11 EDT 2024

% Result   : Unsatisfiable 0.16s 0.37s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  255
% Syntax   : Number of formulae    :  710 (   1 unt;   0 def)
%            Number of atoms       : 2345 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2923 (1288   ~;1499   |;   0   &)
%                                         ( 136 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  167 ( 166 usr; 163 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  129 ( 129   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2872,plain,
    $false,
    inference(avatar_sat_refutation,[],[f328,f333,f343,f358,f363,f368,f373,f378,f383,f388,f393,f403,f408,f423,f428,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f588,f598,f603,f608,f613,f618,f623,f628,f633,f638,f643,f648,f653,f658,f663,f668,f703,f708,f713,f718,f723,f728,f733,f738,f743,f748,f753,f758,f763,f768,f773,f778,f783,f788,f793,f798,f803,f808,f813,f823,f828,f830,f831,f833,f850,f858,f874,f878,f882,f883,f884,f888,f890,f891,f893,f897,f901,f902,f903,f907,f908,f913,f914,f919,f920,f924,f926,f930,f934,f947,f948,f949,f958,f962,f963,f973,f979,f991,f995,f997,f998,f999,f1000,f1029,f1049,f1052,f1069,f1086,f1111,f1125,f1134,f1210,f1227,f1240,f1275,f1277,f1282,f1331,f1333,f1409,f1455,f1486,f1520,f1607,f1624,f1641,f1656,f1710,f1714,f1728,f1760,f1805,f1824,f1889,f1910,f1921,f1947,f1953,f1956,f1961,f1978,f2024,f2026,f2064,f2090,f2137,f2164,f2265,f2295,f2297,f2349,f2373,f2399,f2462,f2479,f2574,f2598,f2600,f2613,f2635,f2636,f2680,f2691,f2712,f2713,f2714,f2776,f2843,f2849,f2871]) ).

fof(f2871,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | ~ spl0_130
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2870]) ).

fof(f2870,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_130
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2869,f402]) ).

fof(f402,plain,
    ( c2_1(a463)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl0_40
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2869,plain,
    ( ~ c2_1(a463)
    | ~ spl0_44
    | ~ spl0_130
    | ~ spl0_162 ),
    inference(subsumption_resolution,[],[f2857,f422]) ).

fof(f422,plain,
    ( c0_1(a463)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl0_44
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2857,plain,
    ( ~ c0_1(a463)
    | ~ c2_1(a463)
    | ~ spl0_130
    | ~ spl0_162 ),
    inference(resolution,[],[f853,f1156]) ).

fof(f1156,plain,
    ( c3_1(a463)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1154,plain,
    ( spl0_162
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f853,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f852,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2849,plain,
    ( spl0_83
    | ~ spl0_89
    | ~ spl0_138
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2848]) ).

fof(f2848,plain,
    ( $false
    | spl0_83
    | ~ spl0_89
    | ~ spl0_138
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2847,f1114]) ).

fof(f1114,plain,
    ( ~ c2_1(a450)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1113,plain,
    ( spl0_161
  <=> c2_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2847,plain,
    ( c2_1(a450)
    | spl0_83
    | ~ spl0_89
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2837,f617]) ).

fof(f617,plain,
    ( ~ c0_1(a450)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_83
  <=> c0_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2837,plain,
    ( c0_1(a450)
    | c2_1(a450)
    | ~ spl0_89
    | ~ spl0_138 ),
    inference(resolution,[],[f887,f647]) ).

fof(f647,plain,
    ( c3_1(a450)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl0_89
  <=> c3_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2843,plain,
    ( spl0_61
    | ~ spl0_68
    | ~ spl0_138
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2842]) ).

fof(f2842,plain,
    ( $false
    | spl0_61
    | ~ spl0_68
    | ~ spl0_138
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2841,f507]) ).

fof(f507,plain,
    ( ~ c2_1(a457)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_61
  <=> c2_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f2841,plain,
    ( c2_1(a457)
    | ~ spl0_68
    | ~ spl0_138
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2834,f1285]) ).

fof(f1285,plain,
    ( ~ c0_1(a457)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f1284,plain,
    ( spl0_166
  <=> c0_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2834,plain,
    ( c0_1(a457)
    | c2_1(a457)
    | ~ spl0_68
    | ~ spl0_138 ),
    inference(resolution,[],[f887,f542]) ).

fof(f542,plain,
    ( c3_1(a457)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_68
  <=> c3_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2776,plain,
    ( spl0_103
    | spl0_100
    | ~ spl0_116
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2775,f932,f780,f700,f715]) ).

fof(f715,plain,
    ( spl0_103
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f700,plain,
    ( spl0_100
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f780,plain,
    ( spl0_116
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f932,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2775,plain,
    ( c2_1(a467)
    | spl0_100
    | ~ spl0_116
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2760,f702]) ).

fof(f702,plain,
    ( ~ c1_1(a467)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f2760,plain,
    ( c2_1(a467)
    | c1_1(a467)
    | ~ spl0_116
    | ~ spl0_146 ),
    inference(resolution,[],[f933,f782]) ).

fof(f782,plain,
    ( c0_1(a467)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f933,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f2714,plain,
    ( spl0_33
    | ~ spl0_41
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2623,f960,f868,f405,f365]) ).

fof(f365,plain,
    ( spl0_33
  <=> c0_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f405,plain,
    ( spl0_41
  <=> c2_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f868,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f960,plain,
    ( spl0_152
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2623,plain,
    ( c0_1(a489)
    | ~ spl0_41
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(resolution,[],[f2614,f407]) ).

fof(f407,plain,
    ( c2_1(a489)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f2614,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f869,f961]) ).

fof(f961,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f869,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f2713,plain,
    ( spl0_169
    | ~ spl0_114
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2701,f922,f860,f840,f770,f1306]) ).

fof(f1306,plain,
    ( spl0_169
  <=> c1_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f770,plain,
    ( spl0_114
  <=> c0_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f840,plain,
    ( spl0_127
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f860,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f922,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2701,plain,
    ( c1_1(a442)
    | ~ spl0_114
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(resolution,[],[f2681,f772]) ).

fof(f772,plain,
    ( c0_1(a442)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f2681,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f923,f2615]) ).

fof(f2615,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f861,f841]) ).

fof(f841,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f861,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f923,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f2712,plain,
    ( spl0_100
    | ~ spl0_116
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2711]) ).

fof(f2711,plain,
    ( $false
    | spl0_100
    | ~ spl0_116
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f2698,f702]) ).

fof(f2698,plain,
    ( c1_1(a467)
    | ~ spl0_116
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_144 ),
    inference(resolution,[],[f2681,f782]) ).

fof(f2691,plain,
    ( ~ spl0_72
    | ~ spl0_134
    | ~ spl0_152
    | spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2690]) ).

fof(f2690,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_134
    | ~ spl0_152
    | spl0_159 ),
    inference(subsumption_resolution,[],[f2689,f1064]) ).

fof(f1064,plain,
    ( ~ c0_1(a447)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1063,plain,
    ( spl0_159
  <=> c0_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2689,plain,
    ( c0_1(a447)
    | ~ spl0_72
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(resolution,[],[f562,f2614]) ).

fof(f562,plain,
    ( c2_1(a447)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_72
  <=> c2_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2680,plain,
    ( spl0_56
    | spl0_62
    | ~ spl0_66
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2675,f945,f530,f510,f480]) ).

fof(f480,plain,
    ( spl0_56
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f510,plain,
    ( spl0_62
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f530,plain,
    ( spl0_66
  <=> c1_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f945,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2675,plain,
    ( c3_1(a484)
    | spl0_62
    | ~ spl0_66
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2663,f512]) ).

fof(f512,plain,
    ( ~ c2_1(a484)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f2663,plain,
    ( c2_1(a484)
    | c3_1(a484)
    | ~ spl0_66
    | ~ spl0_149 ),
    inference(resolution,[],[f946,f532]) ).

fof(f532,plain,
    ( c1_1(a484)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f946,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f2636,plain,
    ( spl0_163
    | ~ spl0_71
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2622,f960,f868,f555,f1178]) ).

fof(f1178,plain,
    ( spl0_163
  <=> c0_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f555,plain,
    ( spl0_71
  <=> c2_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f2622,plain,
    ( c0_1(a492)
    | ~ spl0_71
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(resolution,[],[f2614,f557]) ).

fof(f557,plain,
    ( c2_1(a492)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f2635,plain,
    ( spl0_120
    | ~ spl0_121
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2627,f960,f868,f805,f800]) ).

fof(f800,plain,
    ( spl0_120
  <=> c0_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f805,plain,
    ( spl0_121
  <=> c2_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2627,plain,
    ( c0_1(a444)
    | ~ spl0_121
    | ~ spl0_134
    | ~ spl0_152 ),
    inference(resolution,[],[f2614,f807]) ).

fof(f807,plain,
    ( c2_1(a444)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f2613,plain,
    ( ~ spl0_111
    | spl0_164
    | ~ spl0_109
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2244,f836,f745,f1230,f755]) ).

fof(f755,plain,
    ( spl0_111
  <=> c2_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1230,plain,
    ( spl0_164
  <=> c0_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f745,plain,
    ( spl0_109
  <=> c3_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f836,plain,
    ( spl0_126
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2244,plain,
    ( c0_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_109
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f747]) ).

fof(f747,plain,
    ( c3_1(a451)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f837,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f2600,plain,
    ( ~ spl0_88
    | ~ spl0_89
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2599]) ).

fof(f2599,plain,
    ( $false
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2586,f647]) ).

fof(f2586,plain,
    ( ~ c3_1(a450)
    | ~ spl0_88
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(resolution,[],[f2575,f642]) ).

fof(f642,plain,
    ( c1_1(a450)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl0_88
  <=> c1_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2575,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f917,f841]) ).

fof(f917,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f916,plain,
    ( spl0_143
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2598,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2597]) ).

fof(f2597,plain,
    ( $false
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2584,f542]) ).

fof(f2584,plain,
    ( ~ c3_1(a457)
    | ~ spl0_67
    | ~ spl0_127
    | ~ spl0_143 ),
    inference(resolution,[],[f2575,f537]) ).

fof(f537,plain,
    ( c1_1(a457)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl0_67
  <=> c1_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2574,plain,
    ( ~ spl0_107
    | ~ spl0_113
    | ~ spl0_117
    | ~ spl0_127
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2573]) ).

fof(f2573,plain,
    ( $false
    | ~ spl0_107
    | ~ spl0_113
    | ~ spl0_117
    | ~ spl0_127
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2572,f737]) ).

fof(f737,plain,
    ( c1_1(a456)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_107
  <=> c1_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2572,plain,
    ( ~ c1_1(a456)
    | ~ spl0_107
    | ~ spl0_113
    | ~ spl0_117
    | ~ spl0_127
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2571,f787]) ).

fof(f787,plain,
    ( c0_1(a456)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f785,plain,
    ( spl0_117
  <=> c0_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2571,plain,
    ( ~ c0_1(a456)
    | ~ c1_1(a456)
    | ~ spl0_107
    | ~ spl0_113
    | ~ spl0_127
    | ~ spl0_139 ),
    inference(resolution,[],[f2385,f841]) ).

fof(f2385,plain,
    ( c3_1(a456)
    | ~ spl0_107
    | ~ spl0_113
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2375,f767]) ).

fof(f767,plain,
    ( c2_1(a456)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f765,plain,
    ( spl0_113
  <=> c2_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2375,plain,
    ( c3_1(a456)
    | ~ c2_1(a456)
    | ~ spl0_107
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f737]) ).

fof(f896,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f895,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2479,plain,
    ( ~ spl0_92
    | spl0_84
    | ~ spl0_86
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2475,f960,f630,f620,f660]) ).

fof(f660,plain,
    ( spl0_92
  <=> c2_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f620,plain,
    ( spl0_84
  <=> c0_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f630,plain,
    ( spl0_86
  <=> c1_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2475,plain,
    ( ~ c2_1(a486)
    | spl0_84
    | ~ spl0_86
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2466,f622]) ).

fof(f622,plain,
    ( ~ c0_1(a486)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f2466,plain,
    ( c0_1(a486)
    | ~ c2_1(a486)
    | ~ spl0_86
    | ~ spl0_152 ),
    inference(resolution,[],[f961,f632]) ).

fof(f632,plain,
    ( c1_1(a486)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f2462,plain,
    ( spl0_25
    | spl0_32
    | ~ spl0_36
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2461]) ).

fof(f2461,plain,
    ( $false
    | spl0_25
    | spl0_32
    | ~ spl0_36
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2460,f327]) ).

fof(f327,plain,
    ( ~ c1_1(a443)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_25
  <=> c1_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2460,plain,
    ( c1_1(a443)
    | spl0_32
    | ~ spl0_36
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2454,f362]) ).

fof(f362,plain,
    ( ~ c2_1(a443)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_32
  <=> c2_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2454,plain,
    ( c2_1(a443)
    | c1_1(a443)
    | ~ spl0_36
    | ~ spl0_151 ),
    inference(resolution,[],[f957,f382]) ).

fof(f382,plain,
    ( c3_1(a443)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_36
  <=> c3_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f957,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2399,plain,
    ( spl0_102
    | ~ spl0_112
    | ~ spl0_139
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2398]) ).

fof(f2398,plain,
    ( $false
    | spl0_102
    | ~ spl0_112
    | ~ spl0_139
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2397,f762]) ).

fof(f762,plain,
    ( c2_1(a442)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_112
  <=> c2_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2397,plain,
    ( ~ c2_1(a442)
    | spl0_102
    | ~ spl0_139
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2395,f712]) ).

fof(f712,plain,
    ( ~ c3_1(a442)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl0_102
  <=> c3_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2395,plain,
    ( c3_1(a442)
    | ~ c2_1(a442)
    | ~ spl0_139
    | ~ spl0_169 ),
    inference(resolution,[],[f1308,f896]) ).

fof(f1308,plain,
    ( c1_1(a442)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1306]) ).

fof(f2373,plain,
    ( spl0_168
    | spl0_106
    | ~ spl0_110
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2372,f864,f750,f730,f1294]) ).

fof(f1294,plain,
    ( spl0_168
  <=> c1_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f730,plain,
    ( spl0_106
  <=> c0_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f750,plain,
    ( spl0_110
  <=> c3_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f864,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f2372,plain,
    ( c1_1(a432)
    | spl0_106
    | ~ spl0_110
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2369,f732]) ).

fof(f732,plain,
    ( ~ c0_1(a432)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f2369,plain,
    ( c0_1(a432)
    | c1_1(a432)
    | ~ spl0_110
    | ~ spl0_133 ),
    inference(resolution,[],[f865,f752]) ).

fof(f752,plain,
    ( c3_1(a432)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f865,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f2349,plain,
    ( spl0_169
    | spl0_102
    | ~ spl0_112
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2348,f856,f760,f710,f1306]) ).

fof(f856,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f2348,plain,
    ( c1_1(a442)
    | spl0_102
    | ~ spl0_112
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2341,f712]) ).

fof(f2341,plain,
    ( c3_1(a442)
    | c1_1(a442)
    | ~ spl0_112
    | ~ spl0_131 ),
    inference(resolution,[],[f857,f762]) ).

fof(f857,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f2297,plain,
    ( ~ spl0_163
    | spl0_58
    | ~ spl0_71
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2281,f899,f555,f490,f1178]) ).

fof(f490,plain,
    ( spl0_58
  <=> c3_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f899,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2281,plain,
    ( ~ c0_1(a492)
    | spl0_58
    | ~ spl0_71
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2269,f557]) ).

fof(f2269,plain,
    ( ~ c2_1(a492)
    | ~ c0_1(a492)
    | spl0_58
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f492]) ).

fof(f492,plain,
    ( ~ c3_1(a492)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f900,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f2295,plain,
    ( ~ spl0_114
    | spl0_102
    | ~ spl0_112
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2289,f899,f760,f710,f770]) ).

fof(f2289,plain,
    ( ~ c0_1(a442)
    | spl0_102
    | ~ spl0_112
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2273,f762]) ).

fof(f2273,plain,
    ( ~ c2_1(a442)
    | ~ c0_1(a442)
    | spl0_102
    | ~ spl0_140 ),
    inference(resolution,[],[f900,f712]) ).

fof(f2265,plain,
    ( ~ spl0_161
    | spl0_83
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2259,f836,f645,f615,f1113]) ).

fof(f2259,plain,
    ( ~ c2_1(a450)
    | spl0_83
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f2245,f617]) ).

fof(f2245,plain,
    ( c0_1(a450)
    | ~ c2_1(a450)
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f647]) ).

fof(f2164,plain,
    ( ~ spl0_166
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2163,f840,f540,f535,f1284]) ).

fof(f2163,plain,
    ( ~ c0_1(a457)
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f2162,f537]) ).

fof(f2162,plain,
    ( ~ c0_1(a457)
    | ~ c1_1(a457)
    | ~ spl0_68
    | ~ spl0_127 ),
    inference(resolution,[],[f542,f841]) ).

fof(f2137,plain,
    ( spl0_167
    | spl0_56
    | ~ spl0_66
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2136,f928,f530,f480,f1289]) ).

fof(f1289,plain,
    ( spl0_167
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f928,plain,
    ( spl0_145
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2136,plain,
    ( c0_1(a484)
    | spl0_56
    | ~ spl0_66
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2124,f532]) ).

fof(f2124,plain,
    ( c0_1(a484)
    | ~ c1_1(a484)
    | spl0_56
    | ~ spl0_145 ),
    inference(resolution,[],[f929,f482]) ).

fof(f482,plain,
    ( ~ c3_1(a484)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f929,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f2090,plain,
    ( spl0_34
    | spl0_28
    | ~ spl0_35
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2089,f864,f375,f340,f370]) ).

fof(f370,plain,
    ( spl0_34
  <=> c0_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f340,plain,
    ( spl0_28
  <=> c1_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f375,plain,
    ( spl0_35
  <=> c3_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2089,plain,
    ( c0_1(a454)
    | spl0_28
    | ~ spl0_35
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f2075,f342]) ).

fof(f342,plain,
    ( ~ c1_1(a454)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f2075,plain,
    ( c0_1(a454)
    | c1_1(a454)
    | ~ spl0_35
    | ~ spl0_133 ),
    inference(resolution,[],[f865,f377]) ).

fof(f377,plain,
    ( c3_1(a454)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f2064,plain,
    ( spl0_31
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2063]) ).

fof(f2063,plain,
    ( $false
    | spl0_31
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2062,f427]) ).

fof(f427,plain,
    ( c0_1(a472)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f425,plain,
    ( spl0_45
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2062,plain,
    ( ~ c0_1(a472)
    | spl0_31
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2052,f357]) ).

fof(f357,plain,
    ( ~ c2_1(a472)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_31
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2052,plain,
    ( c2_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(resolution,[],[f912,f387]) ).

fof(f387,plain,
    ( c3_1(a472)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl0_37
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f912,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f911,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2026,plain,
    ( ~ spl0_167
    | spl0_62
    | ~ spl0_66
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2012,f872,f530,f510,f1289]) ).

fof(f872,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2012,plain,
    ( ~ c0_1(a484)
    | spl0_62
    | ~ spl0_66
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2005,f512]) ).

fof(f2005,plain,
    ( c2_1(a484)
    | ~ c0_1(a484)
    | ~ spl0_66
    | ~ spl0_135 ),
    inference(resolution,[],[f873,f532]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f2024,plain,
    ( ~ spl0_115
    | spl0_104
    | ~ spl0_108
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2021,f872,f740,f720,f775]) ).

fof(f775,plain,
    ( spl0_115
  <=> c0_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f720,plain,
    ( spl0_104
  <=> c2_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f740,plain,
    ( spl0_108
  <=> c1_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2021,plain,
    ( ~ c0_1(a452)
    | spl0_104
    | ~ spl0_108
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2008,f722]) ).

fof(f722,plain,
    ( ~ c2_1(a452)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2008,plain,
    ( c2_1(a452)
    | ~ c0_1(a452)
    | ~ spl0_108
    | ~ spl0_135 ),
    inference(resolution,[],[f873,f742]) ).

fof(f742,plain,
    ( c1_1(a452)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f1978,plain,
    ( ~ spl0_165
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1977,f840,f425,f385,f1237]) ).

fof(f1237,plain,
    ( spl0_165
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1977,plain,
    ( ~ c1_1(a472)
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1966,f427]) ).

fof(f1966,plain,
    ( ~ c0_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_37
    | ~ spl0_127 ),
    inference(resolution,[],[f841,f387]) ).

fof(f1961,plain,
    ( spl0_105
    | spl0_106
    | ~ spl0_110
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1960,f886,f750,f730,f725]) ).

fof(f725,plain,
    ( spl0_105
  <=> c2_1(a432) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1960,plain,
    ( c2_1(a432)
    | spl0_106
    | ~ spl0_110
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1871,f732]) ).

fof(f1871,plain,
    ( c0_1(a432)
    | c2_1(a432)
    | ~ spl0_110
    | ~ spl0_138 ),
    inference(resolution,[],[f887,f752]) ).

fof(f1956,plain,
    ( spl0_79
    | spl0_81
    | ~ spl0_85
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1955]) ).

fof(f1955,plain,
    ( $false
    | spl0_79
    | spl0_81
    | ~ spl0_85
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1954,f627]) ).

fof(f627,plain,
    ( c1_1(a435)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f625,plain,
    ( spl0_85
  <=> c1_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1954,plain,
    ( ~ c1_1(a435)
    | spl0_79
    | spl0_81
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1940,f607]) ).

fof(f607,plain,
    ( ~ c0_1(a435)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f605,plain,
    ( spl0_81
  <=> c0_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1940,plain,
    ( c0_1(a435)
    | ~ c1_1(a435)
    | spl0_79
    | ~ spl0_145 ),
    inference(resolution,[],[f929,f597]) ).

fof(f597,plain,
    ( ~ c3_1(a435)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f595,plain,
    ( spl0_79
  <=> c3_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1953,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_145
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1952,plain,
    ( $false
    | spl0_119
    | spl0_120
    | ~ spl0_145
    | ~ spl0_160 ),
    inference(subsumption_resolution,[],[f1951,f1090]) ).

fof(f1090,plain,
    ( c1_1(a444)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1088,plain,
    ( spl0_160
  <=> c1_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1951,plain,
    ( ~ c1_1(a444)
    | spl0_119
    | spl0_120
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1937,f802]) ).

fof(f802,plain,
    ( ~ c0_1(a444)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f1937,plain,
    ( c0_1(a444)
    | ~ c1_1(a444)
    | spl0_119
    | ~ spl0_145 ),
    inference(resolution,[],[f929,f797]) ).

fof(f797,plain,
    ( ~ c3_1(a444)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl0_119
  <=> c3_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1947,plain,
    ( spl0_163
    | spl0_58
    | ~ spl0_65
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1946,f928,f525,f490,f1178]) ).

fof(f525,plain,
    ( spl0_65
  <=> c1_1(a492) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1946,plain,
    ( c0_1(a492)
    | spl0_58
    | ~ spl0_65
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1931,f527]) ).

fof(f527,plain,
    ( c1_1(a492)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1931,plain,
    ( c0_1(a492)
    | ~ c1_1(a492)
    | spl0_58
    | ~ spl0_145 ),
    inference(resolution,[],[f929,f492]) ).

fof(f1921,plain,
    ( spl0_53
    | spl0_57
    | ~ spl0_73
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1917,f922,f565,f485,f465]) ).

fof(f465,plain,
    ( spl0_53
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f485,plain,
    ( spl0_57
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f565,plain,
    ( spl0_73
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1917,plain,
    ( c1_1(a434)
    | spl0_57
    | ~ spl0_73
    | ~ spl0_144 ),
    inference(subsumption_resolution,[],[f1904,f567]) ).

fof(f567,plain,
    ( c0_1(a434)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f1904,plain,
    ( ~ c0_1(a434)
    | c1_1(a434)
    | spl0_57
    | ~ spl0_144 ),
    inference(resolution,[],[f923,f487]) ).

fof(f487,plain,
    ( ~ c3_1(a434)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f1910,plain,
    ( spl0_26
    | ~ spl0_44
    | ~ spl0_144
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f1909]) ).

fof(f1909,plain,
    ( $false
    | spl0_26
    | ~ spl0_44
    | ~ spl0_144
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1908,f332]) ).

fof(f332,plain,
    ( ~ c1_1(a463)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl0_26
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1908,plain,
    ( c1_1(a463)
    | ~ spl0_44
    | ~ spl0_144
    | spl0_162 ),
    inference(subsumption_resolution,[],[f1896,f422]) ).

fof(f1896,plain,
    ( ~ c0_1(a463)
    | c1_1(a463)
    | ~ spl0_144
    | spl0_162 ),
    inference(resolution,[],[f923,f1155]) ).

fof(f1155,plain,
    ( ~ c3_1(a463)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1889,plain,
    ( spl0_106
    | ~ spl0_110
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1888]) ).

fof(f1888,plain,
    ( $false
    | spl0_106
    | ~ spl0_110
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1882,f732]) ).

fof(f1882,plain,
    ( c0_1(a432)
    | ~ spl0_110
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(resolution,[],[f1875,f752]) ).

fof(f1875,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_133
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f917,f865]) ).

fof(f1824,plain,
    ( ~ spl0_90
    | ~ spl0_91
    | ~ spl0_93
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1823]) ).

fof(f1823,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_93
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1822,f657]) ).

fof(f657,plain,
    ( c2_1(a437)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f655,plain,
    ( spl0_91
  <=> c2_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1822,plain,
    ( ~ c2_1(a437)
    | ~ spl0_90
    | ~ spl0_93
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1814,f667]) ).

fof(f667,plain,
    ( c0_1(a437)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f665,plain,
    ( spl0_93
  <=> c0_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1814,plain,
    ( ~ c0_1(a437)
    | ~ c2_1(a437)
    | ~ spl0_90
    | ~ spl0_130 ),
    inference(resolution,[],[f853,f652]) ).

fof(f652,plain,
    ( c3_1(a437)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f650,plain,
    ( spl0_90
  <=> c3_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1805,plain,
    ( spl0_55
    | ~ spl0_70
    | ~ spl0_134
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1804]) ).

fof(f1804,plain,
    ( $false
    | spl0_55
    | ~ spl0_70
    | ~ spl0_134
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1791,f477]) ).

fof(f477,plain,
    ( ~ c1_1(a449)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f475,plain,
    ( spl0_55
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1791,plain,
    ( c1_1(a449)
    | ~ spl0_70
    | ~ spl0_134
    | ~ spl0_147 ),
    inference(resolution,[],[f1762,f552]) ).

fof(f552,plain,
    ( c2_1(a449)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_70
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1762,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_134
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f937,f869]) ).

fof(f937,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f936,plain,
    ( spl0_147
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1760,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1759]) ).

fof(f1759,plain,
    ( $false
    | spl0_124
    | spl0_125
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1749,f827]) ).

fof(f827,plain,
    ( ~ c0_1(a433)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f825,plain,
    ( spl0_125
  <=> c0_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1749,plain,
    ( c0_1(a433)
    | spl0_124
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(resolution,[],[f1731,f822]) ).

fof(f822,plain,
    ( ~ c2_1(a433)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f820,plain,
    ( spl0_124
  <=> c2_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1731,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f887,f877]) ).

fof(f877,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f876,plain,
    ( spl0_136
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1728,plain,
    ( spl0_61
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1727]) ).

fof(f1727,plain,
    ( $false
    | spl0_61
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1726,f537]) ).

fof(f1726,plain,
    ( ~ c1_1(a457)
    | spl0_61
    | ~ spl0_68
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1720,f507]) ).

fof(f1720,plain,
    ( c2_1(a457)
    | ~ c1_1(a457)
    | ~ spl0_68
    | ~ spl0_137 ),
    inference(resolution,[],[f881,f542]) ).

fof(f881,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1714,plain,
    ( spl0_54
    | spl0_60
    | spl0_63
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1711,f876,f868,f515,f500,f470]) ).

fof(f470,plain,
    ( spl0_54
  <=> c1_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f500,plain,
    ( spl0_60
  <=> c3_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f515,plain,
    ( spl0_63
  <=> c0_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1711,plain,
    ( c1_1(a445)
    | spl0_60
    | spl0_63
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1706,f517]) ).

fof(f517,plain,
    ( ~ c0_1(a445)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f1706,plain,
    ( c0_1(a445)
    | c1_1(a445)
    | spl0_60
    | spl0_63
    | ~ spl0_134
    | ~ spl0_136 ),
    inference(resolution,[],[f869,f1595]) ).

fof(f1595,plain,
    ( c2_1(a445)
    | spl0_60
    | spl0_63
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1591,f517]) ).

fof(f1591,plain,
    ( c0_1(a445)
    | c2_1(a445)
    | spl0_60
    | ~ spl0_136 ),
    inference(resolution,[],[f877,f502]) ).

fof(f502,plain,
    ( ~ c3_1(a445)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1710,plain,
    ( spl0_160
    | spl0_120
    | ~ spl0_121
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1709,f868,f805,f800,f1088]) ).

fof(f1709,plain,
    ( c1_1(a444)
    | spl0_120
    | ~ spl0_121
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1703,f802]) ).

fof(f1703,plain,
    ( c0_1(a444)
    | c1_1(a444)
    | ~ spl0_121
    | ~ spl0_134 ),
    inference(resolution,[],[f869,f807]) ).

fof(f1656,plain,
    ( spl0_166
    | spl0_61
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1655,f848,f535,f505,f1284]) ).

fof(f848,plain,
    ( spl0_129
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1655,plain,
    ( c0_1(a457)
    | spl0_61
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1654,f507]) ).

fof(f1654,plain,
    ( c0_1(a457)
    | c2_1(a457)
    | ~ spl0_67
    | ~ spl0_129 ),
    inference(resolution,[],[f537,f849]) ).

fof(f849,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f1641,plain,
    ( ~ spl0_64
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1640]) ).

fof(f1640,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1639,f522]) ).

fof(f522,plain,
    ( c1_1(a447)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f520,plain,
    ( spl0_64
  <=> c1_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1639,plain,
    ( ~ c1_1(a447)
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1630,f562]) ).

fof(f1630,plain,
    ( ~ c2_1(a447)
    | ~ c1_1(a447)
    | ~ spl0_69
    | ~ spl0_141 ),
    inference(resolution,[],[f906,f547]) ).

fof(f547,plain,
    ( c3_1(a447)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_69
  <=> c3_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f906,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f905,plain,
    ( spl0_141
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1624,plain,
    ( ~ spl0_88
    | ~ spl0_89
    | ~ spl0_137
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1623,plain,
    ( $false
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_137
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f1614,f642]) ).

fof(f1614,plain,
    ( ~ c1_1(a450)
    | ~ spl0_89
    | ~ spl0_137
    | ~ spl0_141 ),
    inference(resolution,[],[f1609,f647]) ).

fof(f1609,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_137
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f906,f881]) ).

fof(f1607,plain,
    ( ~ spl0_168
    | spl0_105
    | ~ spl0_110
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1606,f880,f750,f725,f1294]) ).

fof(f1606,plain,
    ( ~ c1_1(a432)
    | spl0_105
    | ~ spl0_110
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1603,f727]) ).

fof(f727,plain,
    ( ~ c2_1(a432)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f1603,plain,
    ( c2_1(a432)
    | ~ c1_1(a432)
    | ~ spl0_110
    | ~ spl0_137 ),
    inference(resolution,[],[f881,f752]) ).

fof(f1520,plain,
    ( ~ spl0_112
    | ~ spl0_114
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_114
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1504,f762]) ).

fof(f1504,plain,
    ( ~ c2_1(a442)
    | ~ spl0_114
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(resolution,[],[f1494,f772]) ).

fof(f1494,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_127
    | ~ spl0_132
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f900,f1299]) ).

fof(f1299,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f841,f861]) ).

fof(f1486,plain,
    ( spl0_79
    | spl0_81
    | ~ spl0_85
    | ~ spl0_129
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1485,f895,f848,f625,f605,f595]) ).

fof(f1485,plain,
    ( c3_1(a435)
    | spl0_81
    | ~ spl0_85
    | ~ spl0_129
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1451,f1053]) ).

fof(f1053,plain,
    ( c2_1(a435)
    | spl0_81
    | ~ spl0_85
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1042,f607]) ).

fof(f1042,plain,
    ( c0_1(a435)
    | c2_1(a435)
    | ~ spl0_85
    | ~ spl0_129 ),
    inference(resolution,[],[f849,f627]) ).

fof(f1451,plain,
    ( c3_1(a435)
    | ~ c2_1(a435)
    | ~ spl0_85
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f627]) ).

fof(f1455,plain,
    ( spl0_58
    | ~ spl0_65
    | ~ spl0_71
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | spl0_58
    | ~ spl0_65
    | ~ spl0_71
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1453,f557]) ).

fof(f1453,plain,
    ( ~ c2_1(a492)
    | spl0_58
    | ~ spl0_65
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1442,f492]) ).

fof(f1442,plain,
    ( c3_1(a492)
    | ~ c2_1(a492)
    | ~ spl0_65
    | ~ spl0_139 ),
    inference(resolution,[],[f896,f527]) ).

fof(f1409,plain,
    ( ~ spl0_164
    | spl0_101
    | ~ spl0_109
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1408,f860,f745,f705,f1230]) ).

fof(f705,plain,
    ( spl0_101
  <=> c1_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1408,plain,
    ( ~ c0_1(a451)
    | spl0_101
    | ~ spl0_109
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1406,f707]) ).

fof(f707,plain,
    ( ~ c1_1(a451)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f1406,plain,
    ( c1_1(a451)
    | ~ c0_1(a451)
    | ~ spl0_109
    | ~ spl0_132 ),
    inference(resolution,[],[f747,f861]) ).

fof(f1333,plain,
    ( ~ spl0_37
    | ~ spl0_45
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1332,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1325,f427]) ).

fof(f1325,plain,
    ( ~ c0_1(a472)
    | ~ spl0_37
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(resolution,[],[f1299,f387]) ).

fof(f1331,plain,
    ( ~ spl0_90
    | ~ spl0_93
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1330]) ).

fof(f1330,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_93
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1324,f667]) ).

fof(f1324,plain,
    ( ~ c0_1(a437)
    | ~ spl0_90
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(resolution,[],[f1299,f652]) ).

fof(f1282,plain,
    ( ~ spl0_41
    | spl0_33
    | ~ spl0_38
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1281,f836,f390,f365,f405]) ).

fof(f390,plain,
    ( spl0_38
  <=> c3_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1281,plain,
    ( ~ c2_1(a489)
    | spl0_33
    | ~ spl0_38
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1280,f367]) ).

fof(f367,plain,
    ( ~ c0_1(a489)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1280,plain,
    ( c0_1(a489)
    | ~ c2_1(a489)
    | ~ spl0_38
    | ~ spl0_126 ),
    inference(resolution,[],[f392,f837]) ).

fof(f392,plain,
    ( c3_1(a489)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f1277,plain,
    ( spl0_161
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1276,f880,f645,f640,f1113]) ).

fof(f1276,plain,
    ( c2_1(a450)
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1271,f642]) ).

fof(f1271,plain,
    ( c2_1(a450)
    | ~ c1_1(a450)
    | ~ spl0_89
    | ~ spl0_137 ),
    inference(resolution,[],[f881,f647]) ).

fof(f1275,plain,
    ( ~ spl0_165
    | spl0_31
    | ~ spl0_37
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1274,f880,f385,f355,f1237]) ).

fof(f1274,plain,
    ( ~ c1_1(a472)
    | spl0_31
    | ~ spl0_37
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f1268,f357]) ).

fof(f1268,plain,
    ( c2_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_37
    | ~ spl0_137 ),
    inference(resolution,[],[f881,f387]) ).

fof(f1240,plain,
    ( ~ spl0_45
    | spl0_165
    | ~ spl0_37
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1234,f860,f385,f1237,f425]) ).

fof(f1234,plain,
    ( c1_1(a472)
    | ~ c0_1(a472)
    | ~ spl0_37
    | ~ spl0_132 ),
    inference(resolution,[],[f387,f861]) ).

fof(f1227,plain,
    ( spl0_101
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_126
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1226,plain,
    ( $false
    | spl0_101
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_126
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1225,f1136]) ).

fof(f1136,plain,
    ( c0_1(a451)
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1130,f757]) ).

fof(f757,plain,
    ( c2_1(a451)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f1130,plain,
    ( c0_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_109
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f747]) ).

fof(f1225,plain,
    ( ~ c0_1(a451)
    | spl0_101
    | ~ spl0_109
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1218,f707]) ).

fof(f1218,plain,
    ( c1_1(a451)
    | ~ c0_1(a451)
    | ~ spl0_109
    | ~ spl0_132 ),
    inference(resolution,[],[f861,f747]) ).

fof(f1210,plain,
    ( ~ spl0_109
    | ~ spl0_111
    | ~ spl0_126
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1209]) ).

fof(f1209,plain,
    ( $false
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_126
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1200,f757]) ).

fof(f1200,plain,
    ( ~ c2_1(a451)
    | ~ spl0_109
    | ~ spl0_126
    | ~ spl0_130 ),
    inference(resolution,[],[f1194,f747]) ).

fof(f1194,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_126
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f853,f837]) ).

fof(f1134,plain,
    ( spl0_159
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1133,f836,f560,f545,f1063]) ).

fof(f1133,plain,
    ( c0_1(a447)
    | ~ spl0_69
    | ~ spl0_72
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1126,f562]) ).

fof(f1126,plain,
    ( c0_1(a447)
    | ~ c2_1(a447)
    | ~ spl0_69
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f547]) ).

fof(f1125,plain,
    ( spl0_79
    | spl0_81
    | ~ spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | spl0_79
    | spl0_81
    | ~ spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1123,f597]) ).

fof(f1123,plain,
    ( c3_1(a435)
    | spl0_81
    | ~ spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1121,f607]) ).

fof(f1121,plain,
    ( c0_1(a435)
    | c3_1(a435)
    | spl0_81
    | ~ spl0_85
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(resolution,[],[f1053,f845]) ).

fof(f845,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_128
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1111,plain,
    ( spl0_81
    | ~ spl0_85
    | ~ spl0_129
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1110]) ).

fof(f1110,plain,
    ( $false
    | spl0_81
    | ~ spl0_85
    | ~ spl0_129
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f1104,f607]) ).

fof(f1104,plain,
    ( c0_1(a435)
    | ~ spl0_85
    | ~ spl0_129
    | ~ spl0_152 ),
    inference(resolution,[],[f1092,f627]) ).

fof(f1092,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_129
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f961,f849]) ).

fof(f1086,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1083,f844,f805,f800,f795]) ).

fof(f1083,plain,
    ( c3_1(a444)
    | spl0_120
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1080,f802]) ).

fof(f1080,plain,
    ( c0_1(a444)
    | c3_1(a444)
    | ~ spl0_121
    | ~ spl0_128 ),
    inference(resolution,[],[f845,f807]) ).

fof(f1069,plain,
    ( ~ spl0_159
    | ~ spl0_64
    | ~ spl0_69
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1068,f840,f545,f520,f1063]) ).

fof(f1068,plain,
    ( ~ c0_1(a447)
    | ~ spl0_64
    | ~ spl0_69
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f1067,f522]) ).

fof(f1067,plain,
    ( ~ c0_1(a447)
    | ~ c1_1(a447)
    | ~ spl0_69
    | ~ spl0_127 ),
    inference(resolution,[],[f547,f841]) ).

fof(f1052,plain,
    ( spl0_80
    | spl0_82
    | ~ spl0_87
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | spl0_80
    | spl0_82
    | ~ spl0_87
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1050,f602]) ).

fof(f602,plain,
    ( ~ c2_1(a448)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl0_80
  <=> c2_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1050,plain,
    ( c2_1(a448)
    | spl0_82
    | ~ spl0_87
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1041,f612]) ).

fof(f612,plain,
    ( ~ c0_1(a448)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl0_82
  <=> c0_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1041,plain,
    ( c0_1(a448)
    | c2_1(a448)
    | ~ spl0_87
    | ~ spl0_129 ),
    inference(resolution,[],[f849,f637]) ).

fof(f637,plain,
    ( c1_1(a448)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl0_87
  <=> c1_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1049,plain,
    ( spl0_83
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1048,plain,
    ( $false
    | spl0_83
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_126
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1047,f1011]) ).

fof(f1011,plain,
    ( ~ c2_1(a450)
    | spl0_83
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1008,f617]) ).

fof(f1008,plain,
    ( c0_1(a450)
    | ~ c2_1(a450)
    | ~ spl0_89
    | ~ spl0_126 ),
    inference(resolution,[],[f837,f647]) ).

fof(f1047,plain,
    ( c2_1(a450)
    | spl0_83
    | ~ spl0_88
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f1039,f617]) ).

fof(f1039,plain,
    ( c0_1(a450)
    | c2_1(a450)
    | ~ spl0_88
    | ~ spl0_129 ),
    inference(resolution,[],[f849,f642]) ).

fof(f1029,plain,
    ( spl0_55
    | spl0_59
    | ~ spl0_70
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1026,f856,f550,f495,f475]) ).

fof(f495,plain,
    ( spl0_59
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1026,plain,
    ( c1_1(a449)
    | spl0_59
    | ~ spl0_70
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1024,f497]) ).

fof(f497,plain,
    ( ~ c3_1(a449)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f1024,plain,
    ( c3_1(a449)
    | c1_1(a449)
    | ~ spl0_70
    | ~ spl0_131 ),
    inference(resolution,[],[f857,f552]) ).

fof(f1000,plain,
    ( spl0_134
    | spl0_130
    | spl0_135
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f206,f872,f852,f868]) ).

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

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

fof(f999,plain,
    ( spl0_126
    | spl0_138
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f206,f928,f886,f836]) ).

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

fof(f998,plain,
    ( spl0_138
    | spl0_132
    | spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f206,f960,f860,f886]) ).

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

fof(f997,plain,
    ( spl0_131
    | spl0_152
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f206,f928,f960,f856]) ).

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

fof(f995,plain,
    ( spl0_134
    | spl0_143
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f206,f895,f916,f868]) ).

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

fof(f991,plain,
    ( spl0_135
    | spl0_127
    | spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f206,f928,f840,f872]) ).

fof(f201,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f979,plain,
    ( spl0_126
    | spl0_152
    | spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f206,f790,f960,f836]) ).

fof(f790,plain,
    ( spl0_118
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f973,plain,
    ( spl0_128
    | spl0_126
    | spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f206,f680,f836,f844]) ).

fof(f680,plain,
    ( spl0_96
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f963,plain,
    ( spl0_129
    | spl0_127
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f206,f695,f840,f848]) ).

fof(f695,plain,
    ( spl0_99
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp13
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f962,plain,
    ( spl0_152
    | spl0_137
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f206,f670,f880,f960]) ).

fof(f670,plain,
    ( spl0_94
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f958,plain,
    ( spl0_146
    | spl0_151
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f206,f590,f956,f932]) ).

fof(f590,plain,
    ( spl0_78
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f949,plain,
    ( spl0_144
    | spl0_129
    | spl0_75
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f206,f575,f848,f922]) ).

fof(f575,plain,
    ( spl0_75
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f948,plain,
    ( spl0_144
    | spl0_135
    | spl0_76
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f206,f580,f872,f922]) ).

fof(f580,plain,
    ( spl0_76
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f947,plain,
    ( spl0_147
    | spl0_149
    | spl0_74
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f206,f570,f945,f936]) ).

fof(f570,plain,
    ( spl0_74
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp24
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f934,plain,
    ( spl0_146
    | spl0_129
    | spl0_52
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f164,f206,f460,f848,f932]) ).

fof(f460,plain,
    ( spl0_52
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp11
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f930,plain,
    ( spl0_128
    | spl0_145
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f206,f445,f928,f844]) ).

fof(f445,plain,
    ( spl0_49
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f926,plain,
    ( spl0_128
    | spl0_141
    | spl0_48
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f206,f440,f905,f844]) ).

fof(f440,plain,
    ( spl0_48
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f180,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp16
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f924,plain,
    ( spl0_144
    | spl0_126
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f206,f300,f836,f922]) ).

fof(f300,plain,
    ( spl0_20
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp20
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f920,plain,
    ( spl0_140
    | spl0_132
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f206,f295,f860,f899]) ).

fof(f295,plain,
    ( spl0_19
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp25
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f919,plain,
    ( spl0_128
    | spl0_135
    | spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f206,f305,f872,f844]) ).

fof(f305,plain,
    ( spl0_21
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp17
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f914,plain,
    ( spl0_137
    | spl0_127
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f206,f295,f840,f880]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp25
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f913,plain,
    ( spl0_133
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f206,f911,f864]) ).

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

fof(f908,plain,
    ( spl0_126
    | spl0_118
    | spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f206,f690,f790,f836]) ).

fof(f690,plain,
    ( spl0_98
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | hskp8
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f907,plain,
    ( spl0_141
    | spl0_98
    | spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f206,f670,f690,f905]) ).

fof(f157,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp6
      | hskp0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f903,plain,
    ( spl0_127
    | spl0_118
    | spl0_74
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f206,f570,f790,f840]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp8
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f902,plain,
    ( spl0_134
    | spl0_98
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f206,f590,f690,f868]) ).

fof(f132,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp0
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f901,plain,
    ( spl0_140
    | spl0_96
    | spl0_75
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f206,f575,f680,f899]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp14
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f897,plain,
    ( spl0_139
    | spl0_95
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f206,f590,f675,f895]) ).

fof(f675,plain,
    ( spl0_95
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp19
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f893,plain,
    ( spl0_127
    | spl0_76
    | spl0_75
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f206,f575,f580,f840]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp3
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f891,plain,
    ( spl0_133
    | spl0_118
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f135,f206,f445,f790,f864]) ).

fof(f135,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp9
      | hskp8
      | ~ c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f890,plain,
    ( spl0_132
    | spl0_118
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f206,f455,f790,f860]) ).

fof(f455,plain,
    ( spl0_51
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp26
      | hskp8
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f888,plain,
    ( spl0_138
    | spl0_97
    | spl0_48
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f206,f440,f685,f886]) ).

fof(f685,plain,
    ( spl0_97
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp30
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f884,plain,
    ( spl0_130
    | spl0_98
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f206,f435,f690,f852]) ).

fof(f435,plain,
    ( spl0_47
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f883,plain,
    ( spl0_129
    | spl0_96
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f206,f430,f680,f848]) ).

fof(f430,plain,
    ( spl0_46
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp2
      | hskp14
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f882,plain,
    ( spl0_137
    | spl0_97
    | spl0_51
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f149,f206,f455,f685,f880]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp26
      | hskp30
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f878,plain,
    ( spl0_136
    | spl0_77
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f206,f435,f585,f876]) ).

fof(f585,plain,
    ( spl0_77
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f131,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp29
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f874,plain,
    ( spl0_135
    | spl0_47
    | spl0_48
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f206,f440,f435,f872]) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp16
      | hskp29
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f858,plain,
    ( spl0_131
    | spl0_50
    | spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f143,f206,f320,f450,f856]) ).

fof(f450,plain,
    ( spl0_50
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f320,plain,
    ( spl0_24
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp7
      | hskp23
      | ~ c2_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f850,plain,
    ( spl0_129
    | spl0_49
    | spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f206,f315,f445,f848]) ).

fof(f315,plain,
    ( spl0_23
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp9
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f833,plain,
    ( spl0_122
    | spl0_118
    | spl0_77 ),
    inference(avatar_split_clause,[],[f37,f585,f790,f810]) ).

fof(f810,plain,
    ( spl0_122
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f37,axiom,
    ( hskp10
    | hskp8
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f831,plain,
    ( spl0_74
    | spl0_75
    | spl0_76 ),
    inference(avatar_split_clause,[],[f36,f580,f575,f570]) ).

fof(f36,axiom,
    ( hskp3
    | hskp12
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f830,plain,
    ( spl0_99
    | spl0_94
    | spl0_20 ),
    inference(avatar_split_clause,[],[f35,f300,f670,f695]) ).

fof(f35,axiom,
    ( hskp20
    | hskp6
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f828,plain,
    ( ~ spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f126,f810,f825]) ).

fof(f126,axiom,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f823,plain,
    ( ~ spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f128,f810,f820]) ).

fof(f128,axiom,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f813,plain,
    ( spl0_1
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f30,f810,f206]) ).

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

fof(f808,plain,
    ( spl0_121
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f73,f790,f805]) ).

fof(f73,axiom,
    ( ~ hskp8
    | c2_1(a444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f803,plain,
    ( ~ spl0_120
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f114,f790,f800]) ).

fof(f114,axiom,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f798,plain,
    ( ~ spl0_119
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f115,f790,f795]) ).

fof(f115,axiom,
    ( ~ hskp8
    | ~ c3_1(a444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f793,plain,
    ( spl0_1
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f23,f790,f206]) ).

fof(f23,axiom,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f788,plain,
    ( spl0_117
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f38,f685,f785]) ).

fof(f38,axiom,
    ( ~ hskp30
    | c0_1(a456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f783,plain,
    ( spl0_116
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f59,f675,f780]) ).

fof(f59,axiom,
    ( ~ hskp19
    | c0_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f778,plain,
    ( spl0_115
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f65,f680,f775]) ).

fof(f65,axiom,
    ( ~ hskp14
    | c0_1(a452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f773,plain,
    ( spl0_114
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f75,f670,f770]) ).

fof(f75,axiom,
    ( ~ hskp6
    | c0_1(a442) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f768,plain,
    ( spl0_113
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f40,f685,f765]) ).

fof(f40,axiom,
    ( ~ hskp30
    | c2_1(a456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f763,plain,
    ( spl0_112
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f76,f670,f760]) ).

fof(f76,axiom,
    ( ~ hskp6
    | c2_1(a442) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f758,plain,
    ( spl0_111
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f67,f695,f755]) ).

fof(f67,axiom,
    ( ~ hskp13
    | c2_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f753,plain,
    ( spl0_110
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f82,f690,f750]) ).

fof(f82,axiom,
    ( ~ hskp0
    | c3_1(a432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f748,plain,
    ( spl0_109
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f68,f695,f745]) ).

fof(f68,axiom,
    ( ~ hskp13
    | c3_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f743,plain,
    ( spl0_108
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f66,f680,f740]) ).

fof(f66,axiom,
    ( ~ hskp14
    | c1_1(a452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f738,plain,
    ( spl0_107
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f39,f685,f735]) ).

fof(f39,axiom,
    ( ~ hskp30
    | c1_1(a456) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f733,plain,
    ( ~ spl0_106
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f129,f690,f730]) ).

fof(f129,axiom,
    ( ~ hskp0
    | ~ c0_1(a432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f728,plain,
    ( ~ spl0_105
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f130,f690,f725]) ).

fof(f130,axiom,
    ( ~ hskp0
    | ~ c2_1(a432) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f723,plain,
    ( ~ spl0_104
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f104,f680,f720]) ).

fof(f104,axiom,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f718,plain,
    ( ~ spl0_103
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f96,f675,f715]) ).

fof(f96,axiom,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f713,plain,
    ( ~ spl0_102
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f118,f670,f710]) ).

fof(f118,axiom,
    ( ~ hskp6
    | ~ c3_1(a442) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f708,plain,
    ( ~ spl0_101
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f105,f695,f705]) ).

fof(f105,axiom,
    ( ~ hskp13
    | ~ c1_1(a451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f703,plain,
    ( ~ spl0_100
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f95,f675,f700]) ).

fof(f95,axiom,
    ( ~ hskp19
    | ~ c1_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f668,plain,
    ( spl0_93
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f44,f590,f665]) ).

fof(f44,axiom,
    ( ~ hskp28
    | c0_1(a437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f663,plain,
    ( spl0_92
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f52,f570,f660]) ).

fof(f52,axiom,
    ( ~ hskp24
    | c2_1(a486) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f658,plain,
    ( spl0_91
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f45,f590,f655]) ).

fof(f45,axiom,
    ( ~ hskp28
    | c2_1(a437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f653,plain,
    ( spl0_90
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f46,f590,f650]) ).

fof(f46,axiom,
    ( ~ hskp28
    | c3_1(a437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f648,plain,
    ( spl0_89
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f70,f575,f645]) ).

fof(f70,axiom,
    ( ~ hskp12
    | c3_1(a450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f643,plain,
    ( spl0_88
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f69,f575,f640]) ).

fof(f69,axiom,
    ( ~ hskp12
    | c1_1(a450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f638,plain,
    ( spl0_87
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f72,f585,f635]) ).

fof(f72,axiom,
    ( ~ hskp10
    | c1_1(a448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f633,plain,
    ( spl0_86
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f51,f570,f630]) ).

fof(f51,axiom,
    ( ~ hskp24
    | c1_1(a486) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f628,plain,
    ( spl0_85
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f80,f580,f625]) ).

fof(f80,axiom,
    ( ~ hskp3
    | c1_1(a435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f623,plain,
    ( ~ spl0_84
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f88,f570,f620]) ).

fof(f88,axiom,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f618,plain,
    ( ~ spl0_83
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f106,f575,f615]) ).

fof(f106,axiom,
    ( ~ hskp12
    | ~ c0_1(a450) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f613,plain,
    ( ~ spl0_82
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f109,f585,f610]) ).

fof(f109,axiom,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f608,plain,
    ( ~ spl0_81
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f122,f580,f605]) ).

fof(f122,axiom,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f603,plain,
    ( ~ spl0_80
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f110,f585,f600]) ).

fof(f110,axiom,
    ( ~ hskp10
    | ~ c2_1(a448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f598,plain,
    ( ~ spl0_79
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f123,f580,f595]) ).

fof(f123,axiom,
    ( ~ hskp3
    | ~ c3_1(a435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f588,plain,
    ( spl0_1
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f21,f585,f206]) ).

fof(f21,axiom,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f568,plain,
    ( spl0_73
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f81,f430,f565]) ).

fof(f81,axiom,
    ( ~ hskp2
    | c0_1(a434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f563,plain,
    ( spl0_72
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f42,f435,f560]) ).

fof(f42,axiom,
    ( ~ hskp29
    | c2_1(a447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f558,plain,
    ( spl0_71
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f48,f455,f555]) ).

fof(f48,axiom,
    ( ~ hskp26
    | c2_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f553,plain,
    ( spl0_70
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f71,f460,f550]) ).

fof(f71,axiom,
    ( ~ hskp11
    | c2_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f548,plain,
    ( spl0_69
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f43,f435,f545]) ).

fof(f43,axiom,
    ( ~ hskp29
    | c3_1(a447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f543,plain,
    ( spl0_68
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f63,f440,f540]) ).

fof(f63,axiom,
    ( ~ hskp16
    | c3_1(a457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f538,plain,
    ( spl0_67
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f62,f440,f535]) ).

fof(f62,axiom,
    ( ~ hskp16
    | c1_1(a457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f533,plain,
    ( spl0_66
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f53,f450,f530]) ).

fof(f53,axiom,
    ( ~ hskp23
    | c1_1(a484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f528,plain,
    ( spl0_65
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f47,f455,f525]) ).

fof(f47,axiom,
    ( ~ hskp26
    | c1_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f523,plain,
    ( spl0_64
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f41,f435,f520]) ).

fof(f41,axiom,
    ( ~ hskp29
    | c1_1(a447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f518,plain,
    ( ~ spl0_63
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f111,f445,f515]) ).

fof(f111,axiom,
    ( ~ hskp9
    | ~ c0_1(a445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f513,plain,
    ( ~ spl0_62
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f89,f450,f510]) ).

fof(f89,axiom,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f508,plain,
    ( ~ spl0_61
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f101,f440,f505]) ).

fof(f101,axiom,
    ( ~ hskp16
    | ~ c2_1(a457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f503,plain,
    ( ~ spl0_60
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f113,f445,f500]) ).

fof(f113,axiom,
    ( ~ hskp9
    | ~ c3_1(a445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f498,plain,
    ( ~ spl0_59
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f108,f460,f495]) ).

fof(f108,axiom,
    ( ~ hskp11
    | ~ c3_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f493,plain,
    ( ~ spl0_58
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f86,f455,f490]) ).

fof(f86,axiom,
    ( ~ hskp26
    | ~ c3_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f488,plain,
    ( ~ spl0_57
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f125,f430,f485]) ).

fof(f125,axiom,
    ( ~ hskp2
    | ~ c3_1(a434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f483,plain,
    ( ~ spl0_56
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f90,f450,f480]) ).

fof(f90,axiom,
    ( ~ hskp23
    | ~ c3_1(a484) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f478,plain,
    ( ~ spl0_55
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f107,f460,f475]) ).

fof(f107,axiom,
    ( ~ hskp11
    | ~ c1_1(a449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f473,plain,
    ( ~ spl0_54
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f112,f445,f470]) ).

fof(f112,axiom,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f468,plain,
    ( ~ spl0_53
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f124,f430,f465]) ).

fof(f124,axiom,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f428,plain,
    ( spl0_45
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f57,f300,f425]) ).

fof(f57,axiom,
    ( ~ hskp20
    | c0_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f423,plain,
    ( spl0_44
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f60,f305,f420]) ).

fof(f60,axiom,
    ( ~ hskp17
    | c0_1(a463) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f408,plain,
    ( spl0_41
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f49,f295,f405]) ).

fof(f49,axiom,
    ( ~ hskp25
    | c2_1(a489) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f403,plain,
    ( spl0_40
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f61,f305,f400]) ).

fof(f61,axiom,
    ( ~ hskp17
    | c2_1(a463) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f393,plain,
    ( spl0_38
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f50,f295,f390]) ).

fof(f50,axiom,
    ( ~ hskp25
    | c3_1(a489) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f388,plain,
    ( spl0_37
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f58,f300,f385]) ).

fof(f58,axiom,
    ( ~ hskp20
    | c3_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f383,plain,
    ( spl0_36
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f74,f320,f380]) ).

fof(f74,axiom,
    ( ~ hskp7
    | c3_1(a443) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f378,plain,
    ( spl0_35
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f64,f315,f375]) ).

fof(f64,axiom,
    ( ~ hskp15
    | c3_1(a454) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f373,plain,
    ( ~ spl0_34
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f102,f315,f370]) ).

fof(f102,axiom,
    ( ~ hskp15
    | ~ c0_1(a454) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f368,plain,
    ( ~ spl0_33
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f87,f295,f365]) ).

fof(f87,axiom,
    ( ~ hskp25
    | ~ c0_1(a489) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f363,plain,
    ( ~ spl0_32
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f117,f320,f360]) ).

fof(f117,axiom,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f358,plain,
    ( ~ spl0_31
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f94,f300,f355]) ).

fof(f94,axiom,
    ( ~ hskp20
    | ~ c2_1(a472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f343,plain,
    ( ~ spl0_28
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f103,f315,f340]) ).

fof(f103,axiom,
    ( ~ hskp15
    | ~ c1_1(a454) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f333,plain,
    ( ~ spl0_26
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f100,f305,f330]) ).

fof(f100,axiom,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f328,plain,
    ( ~ spl0_25
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f116,f320,f325]) ).

fof(f116,axiom,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SYN509-1 : TPTP v8.1.2. Released v2.1.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 17:47:37 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (4525)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (4533)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)
% 0.11/0.34  % (4531)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34  % (4532)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34  % (4530)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34  % (4526)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (4528)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)
% 0.11/0.34  % (4527)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  Detected minimum model sizes of [1]
% 0.11/0.34  Detected maximum model sizes of [31]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  Detected minimum model sizes of [1]
% 0.11/0.34  Detected maximum model sizes of [31]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  Detected minimum model sizes of [1]
% 0.11/0.35  Detected maximum model sizes of [31]
% 0.11/0.35  TRYING [1]
% 0.11/0.35  Detected minimum model sizes of [1]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  Detected maximum model sizes of [31]
% 0.11/0.35  TRYING [1]
% 0.11/0.35  TRYING [2]
% 0.11/0.35  TRYING [2]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.36  TRYING [4]
% 0.11/0.36  % (4532)First to succeed.
% 0.11/0.36  TRYING [5]
% 0.11/0.37  TRYING [5]
% 0.11/0.37  TRYING [5]
% 0.16/0.37  % (4532)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4525"
% 0.16/0.37  TRYING [5]
% 0.16/0.37  % (4532)Refutation found. Thanks to Tanya!
% 0.16/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38  % (4532)------------------------------
% 0.16/0.38  % (4532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38  % (4532)Termination reason: Refutation
% 0.16/0.38  
% 0.16/0.38  % (4532)Memory used [KB]: 1707
% 0.16/0.38  % (4532)Time elapsed: 0.032 s
% 0.16/0.38  % (4532)Instructions burned: 68 (million)
% 0.16/0.38  % (4525)Success in time 0.05 s
%------------------------------------------------------------------------------