TSTP Solution File: SYN470-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  239
% Syntax   : Number of formulae    :  701 (   1 unt;   0 def)
%            Number of atoms       : 2337 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2932 (1296   ~;1505   |;   0   &)
%                                         ( 131 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  161 ( 160 usr; 157 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  140 ( 140   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3200,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f225,f230,f245,f255,f260,f320,f330,f340,f350,f365,f370,f375,f380,f395,f400,f410,f420,f435,f440,f445,f450,f455,f460,f505,f510,f515,f520,f525,f530,f535,f540,f545,f555,f565,f575,f590,f595,f600,f625,f640,f645,f660,f665,f670,f680,f685,f690,f695,f705,f710,f715,f725,f730,f735,f740,f755,f760,f765,f770,f775,f780,f785,f790,f795,f800,f805,f815,f820,f825,f830,f835,f840,f842,f845,f846,f863,f872,f894,f902,f911,f916,f922,f926,f927,f934,f946,f954,f956,f960,f961,f962,f969,f971,f976,f978,f979,f980,f981,f985,f986,f988,f989,f990,f991,f992,f997,f998,f1014,f1024,f1037,f1051,f1053,f1070,f1090,f1127,f1168,f1192,f1258,f1259,f1310,f1666,f1829,f1863,f1876,f1878,f1913,f1915,f1930,f1984,f2020,f2022,f2048,f2077,f2082,f2083,f2086,f2121,f2137,f2140,f2144,f2150,f2162,f2174,f2195,f2218,f2221,f2271,f2279,f2294,f2356,f2377,f2484,f2532,f2569,f2571,f2619,f2631,f2736,f2737,f2740,f2767,f2785,f2839,f2843,f2844,f2869,f2888,f2916,f2985,f2999,f3021,f3048,f3063,f3084,f3107,f3124,f3128,f3142,f3149,f3151,f3197,f3199]) ).

fof(f3199,plain,
    ( spl0_178
    | ~ spl0_102
    | ~ spl0_108
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3198,f983,f732,f702,f2273]) ).

fof(f2273,plain,
    ( spl0_178
  <=> c0_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f702,plain,
    ( spl0_102
  <=> c3_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f732,plain,
    ( spl0_108
  <=> c1_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f983,plain,
    ( spl0_158
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3198,plain,
    ( c0_1(a514)
    | ~ spl0_102
    | ~ spl0_108
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3188,f704]) ).

fof(f704,plain,
    ( c3_1(a514)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f3188,plain,
    ( c0_1(a514)
    | ~ c3_1(a514)
    | ~ spl0_108
    | ~ spl0_158 ),
    inference(resolution,[],[f984,f734]) ).

fof(f734,plain,
    ( c1_1(a514)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f984,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f3197,plain,
    ( spl0_36
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f3196]) ).

fof(f3196,plain,
    ( $false
    | spl0_36
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3195,f399]) ).

fof(f399,plain,
    ( c3_1(a540)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl0_41
  <=> c3_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f3195,plain,
    ( ~ c3_1(a540)
    | spl0_36
    | ~ spl0_49
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3184,f374]) ).

fof(f374,plain,
    ( ~ c0_1(a540)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl0_36
  <=> c0_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3184,plain,
    ( c0_1(a540)
    | ~ c3_1(a540)
    | ~ spl0_49
    | ~ spl0_158 ),
    inference(resolution,[],[f984,f439]) ).

fof(f439,plain,
    ( c1_1(a540)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f437,plain,
    ( spl0_49
  <=> c1_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f3151,plain,
    ( spl0_177
    | spl0_89
    | spl0_95
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3150,f964,f667,f637,f2267]) ).

fof(f2267,plain,
    ( spl0_177
  <=> c0_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f637,plain,
    ( spl0_89
  <=> c3_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f667,plain,
    ( spl0_95
  <=> c1_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f964,plain,
    ( spl0_156
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f3150,plain,
    ( c0_1(a496)
    | spl0_89
    | spl0_95
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3139,f669]) ).

fof(f669,plain,
    ( ~ c1_1(a496)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f3139,plain,
    ( c0_1(a496)
    | c1_1(a496)
    | spl0_89
    | ~ spl0_156 ),
    inference(resolution,[],[f965,f639]) ).

fof(f639,plain,
    ( ~ c3_1(a496)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f965,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f3149,plain,
    ( spl0_63
    | spl0_67
    | spl0_70
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f3148]) ).

fof(f3148,plain,
    ( $false
    | spl0_63
    | spl0_67
    | spl0_70
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3147,f529]) ).

fof(f529,plain,
    ( ~ c1_1(a502)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f527,plain,
    ( spl0_67
  <=> c1_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f3147,plain,
    ( c1_1(a502)
    | spl0_63
    | spl0_70
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3138,f544]) ).

fof(f544,plain,
    ( ~ c0_1(a502)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl0_70
  <=> c0_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f3138,plain,
    ( c0_1(a502)
    | c1_1(a502)
    | spl0_63
    | ~ spl0_156 ),
    inference(resolution,[],[f965,f509]) ).

fof(f509,plain,
    ( ~ c3_1(a502)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_63
  <=> c3_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f3142,plain,
    ( spl0_25
    | spl0_37
    | ~ spl0_156
    | spl0_167 ),
    inference(avatar_contradiction_clause,[],[f3141]) ).

fof(f3141,plain,
    ( $false
    | spl0_25
    | spl0_37
    | ~ spl0_156
    | spl0_167 ),
    inference(subsumption_resolution,[],[f3140,f1307]) ).

fof(f1307,plain,
    ( ~ c1_1(a558)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1305]) ).

fof(f1305,plain,
    ( spl0_167
  <=> c1_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f3140,plain,
    ( c1_1(a558)
    | spl0_25
    | spl0_37
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f3129,f379]) ).

fof(f379,plain,
    ( ~ c0_1(a558)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_37
  <=> c0_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3129,plain,
    ( c0_1(a558)
    | c1_1(a558)
    | spl0_25
    | ~ spl0_156 ),
    inference(resolution,[],[f965,f319]) ).

fof(f319,plain,
    ( ~ c3_1(a558)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl0_25
  <=> c3_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f3128,plain,
    ( spl0_68
    | ~ spl0_76
    | ~ spl0_81
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3127]) ).

fof(f3127,plain,
    ( $false
    | spl0_68
    | ~ spl0_76
    | ~ spl0_81
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3126,f574]) ).

fof(f574,plain,
    ( c2_1(a499)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_76
  <=> c2_1(a499) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3126,plain,
    ( ~ c2_1(a499)
    | spl0_68
    | ~ spl0_81
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3119,f534]) ).

fof(f534,plain,
    ( ~ c1_1(a499)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f532,plain,
    ( spl0_68
  <=> c1_1(a499) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f3119,plain,
    ( c1_1(a499)
    | ~ c2_1(a499)
    | ~ spl0_81
    | ~ spl0_155 ),
    inference(resolution,[],[f959,f599]) ).

fof(f599,plain,
    ( c0_1(a499)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_81
  <=> c0_1(a499) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f958,plain,
    ( spl0_155
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3124,plain,
    ( spl0_31
    | ~ spl0_53
    | ~ spl0_155
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f3123]) ).

fof(f3123,plain,
    ( $false
    | spl0_31
    | ~ spl0_53
    | ~ spl0_155
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f3122,f1892]) ).

fof(f1892,plain,
    ( c2_1(a568)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1890]) ).

fof(f1890,plain,
    ( spl0_175
  <=> c2_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f3122,plain,
    ( ~ c2_1(a568)
    | spl0_31
    | ~ spl0_53
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3111,f349]) ).

fof(f349,plain,
    ( ~ c1_1(a568)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f347,plain,
    ( spl0_31
  <=> c1_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f3111,plain,
    ( c1_1(a568)
    | ~ c2_1(a568)
    | ~ spl0_53
    | ~ spl0_155 ),
    inference(resolution,[],[f959,f459]) ).

fof(f459,plain,
    ( c0_1(a568)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f457,plain,
    ( spl0_53
  <=> c0_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3107,plain,
    ( ~ spl0_177
    | spl0_94
    | spl0_95
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f3106,f943,f667,f662,f2267]) ).

fof(f662,plain,
    ( spl0_94
  <=> c2_1(a496) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f943,plain,
    ( spl0_152
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f3106,plain,
    ( ~ c0_1(a496)
    | spl0_94
    | spl0_95
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f3101,f669]) ).

fof(f3101,plain,
    ( c1_1(a496)
    | ~ c0_1(a496)
    | spl0_94
    | ~ spl0_152 ),
    inference(resolution,[],[f944,f664]) ).

fof(f664,plain,
    ( ~ c2_1(a496)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f944,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f3084,plain,
    ( ~ spl0_171
    | spl0_62
    | ~ spl0_80
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3083,f924,f592,f502,f1372]) ).

fof(f1372,plain,
    ( spl0_171
  <=> c2_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f502,plain,
    ( spl0_62
  <=> c3_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f592,plain,
    ( spl0_80
  <=> c0_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f924,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f3083,plain,
    ( ~ c2_1(a528)
    | spl0_62
    | ~ spl0_80
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f3075,f594]) ).

fof(f594,plain,
    ( c0_1(a528)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f3075,plain,
    ( ~ c2_1(a528)
    | ~ c0_1(a528)
    | spl0_62
    | ~ spl0_147 ),
    inference(resolution,[],[f925,f504]) ).

fof(f504,plain,
    ( ~ c3_1(a528)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f925,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f3063,plain,
    ( spl0_36
    | ~ spl0_49
    | ~ spl0_143
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3062]) ).

fof(f3062,plain,
    ( $false
    | spl0_36
    | ~ spl0_49
    | ~ spl0_143
    | spl0_161 ),
    inference(subsumption_resolution,[],[f3061,f439]) ).

fof(f3061,plain,
    ( ~ c1_1(a540)
    | spl0_36
    | ~ spl0_143
    | spl0_161 ),
    inference(subsumption_resolution,[],[f3051,f374]) ).

fof(f3051,plain,
    ( c0_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_143
    | spl0_161 ),
    inference(resolution,[],[f905,f1099]) ).

fof(f1099,plain,
    ( ~ c2_1(a540)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f1098,plain,
    ( spl0_161
  <=> c2_1(a540) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f905,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f904,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3048,plain,
    ( spl0_162
    | ~ spl0_43
    | ~ spl0_52
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f3047,f892,f452,f407,f1110]) ).

fof(f1110,plain,
    ( spl0_162
  <=> c2_1(a504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f407,plain,
    ( spl0_43
  <=> c3_1(a504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f452,plain,
    ( spl0_52
  <=> c0_1(a504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f892,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3047,plain,
    ( c2_1(a504)
    | ~ spl0_43
    | ~ spl0_52
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f3027,f409]) ).

fof(f409,plain,
    ( c3_1(a504)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f3027,plain,
    ( c2_1(a504)
    | ~ c3_1(a504)
    | ~ spl0_52
    | ~ spl0_140 ),
    inference(resolution,[],[f893,f454]) ).

fof(f454,plain,
    ( c0_1(a504)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f893,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f3021,plain,
    ( ~ spl0_168
    | ~ spl0_116
    | ~ spl0_118
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3020,f853,f782,f772,f1312]) ).

fof(f1312,plain,
    ( spl0_168
  <=> c1_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f772,plain,
    ( spl0_116
  <=> c3_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f782,plain,
    ( spl0_118
  <=> c2_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f853,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3020,plain,
    ( ~ c1_1(a505)
    | ~ spl0_116
    | ~ spl0_118
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3012,f784]) ).

fof(f784,plain,
    ( c2_1(a505)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f3012,plain,
    ( ~ c1_1(a505)
    | ~ c2_1(a505)
    | ~ spl0_116
    | ~ spl0_131 ),
    inference(resolution,[],[f854,f774]) ).

fof(f774,plain,
    ( c3_1(a505)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f854,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f2999,plain,
    ( spl0_89
    | spl0_94
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2998]) ).

fof(f2998,plain,
    ( $false
    | spl0_89
    | spl0_94
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2993,f664]) ).

fof(f2993,plain,
    ( c2_1(a496)
    | spl0_89
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(resolution,[],[f2964,f639]) ).

fof(f2964,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f953,f871]) ).

fof(f871,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f870,plain,
    ( spl0_135
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f953,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl0_154
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2985,plain,
    ( spl0_172
    | spl0_63
    | spl0_70
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2984,f870,f542,f507,f1718]) ).

fof(f1718,plain,
    ( spl0_172
  <=> c2_1(a502) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2984,plain,
    ( c2_1(a502)
    | spl0_63
    | spl0_70
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f2983,f544]) ).

fof(f2983,plain,
    ( c0_1(a502)
    | c2_1(a502)
    | spl0_63
    | ~ spl0_135 ),
    inference(resolution,[],[f509,f871]) ).

fof(f2916,plain,
    ( ~ spl0_177
    | spl0_89
    | spl0_95
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2915,f882,f667,f637,f2267]) ).

fof(f882,plain,
    ( spl0_138
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2915,plain,
    ( ~ c0_1(a496)
    | spl0_89
    | spl0_95
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2912,f669]) ).

fof(f2912,plain,
    ( c1_1(a496)
    | ~ c0_1(a496)
    | spl0_89
    | ~ spl0_138 ),
    inference(resolution,[],[f883,f639]) ).

fof(f883,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f2888,plain,
    ( spl0_139
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2887,f878,f874,f886]) ).

fof(f886,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f874,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f878,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2887,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(duplicate_literal_removal,[],[f2872]) ).

fof(f2872,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(resolution,[],[f879,f875]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f879,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f2869,plain,
    ( ~ spl0_161
    | spl0_36
    | ~ spl0_41
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2868,f874,f397,f372,f1098]) ).

fof(f2868,plain,
    ( ~ c2_1(a540)
    | spl0_36
    | ~ spl0_41
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2858,f374]) ).

fof(f2858,plain,
    ( c0_1(a540)
    | ~ c2_1(a540)
    | ~ spl0_41
    | ~ spl0_136 ),
    inference(resolution,[],[f875,f399]) ).

fof(f2844,plain,
    ( spl0_94
    | spl0_177
    | spl0_89
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2690,f870,f637,f2267,f662]) ).

fof(f2690,plain,
    ( c0_1(a496)
    | c2_1(a496)
    | spl0_89
    | ~ spl0_135 ),
    inference(resolution,[],[f871,f639]) ).

fof(f2843,plain,
    ( spl0_65
    | spl0_69
    | spl0_64
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2688,f870,f512,f537,f517]) ).

fof(f517,plain,
    ( spl0_65
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f537,plain,
    ( spl0_69
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f512,plain,
    ( spl0_64
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f2688,plain,
    ( c0_1(a559)
    | c2_1(a559)
    | spl0_64
    | ~ spl0_135 ),
    inference(resolution,[],[f871,f514]) ).

fof(f514,plain,
    ( ~ c3_1(a559)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f2839,plain,
    ( spl0_113
    | ~ spl0_119
    | ~ spl0_144
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2838]) ).

fof(f2838,plain,
    ( $false
    | spl0_113
    | ~ spl0_119
    | ~ spl0_144
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2837,f789]) ).

fof(f789,plain,
    ( c2_1(a520)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl0_119
  <=> c2_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2837,plain,
    ( ~ c2_1(a520)
    | spl0_113
    | ~ spl0_144
    | spl0_160 ),
    inference(subsumption_resolution,[],[f2827,f1075]) ).

fof(f1075,plain,
    ( ~ c1_1(a520)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1073,plain,
    ( spl0_160
  <=> c1_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2827,plain,
    ( c1_1(a520)
    | ~ c2_1(a520)
    | spl0_113
    | ~ spl0_144 ),
    inference(resolution,[],[f910,f759]) ).

fof(f759,plain,
    ( ~ c3_1(a520)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_113
  <=> c3_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f910,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2785,plain,
    ( ~ spl0_12
    | spl0_6
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2776,f943,f900,f222,f252]) ).

fof(f252,plain,
    ( spl0_12
  <=> c0_1(a554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f222,plain,
    ( spl0_6
  <=> c2_1(a554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f900,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2776,plain,
    ( ~ c0_1(a554)
    | spl0_6
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(resolution,[],[f2768,f224]) ).

fof(f224,plain,
    ( ~ c2_1(a554)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f2768,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f944,f901]) ).

fof(f901,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f2767,plain,
    ( ~ spl0_107
    | ~ spl0_109
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2766]) ).

fof(f2766,plain,
    ( $false
    | ~ spl0_107
    | ~ spl0_109
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f2755,f739]) ).

fof(f739,plain,
    ( c0_1(a522)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f737,plain,
    ( spl0_109
  <=> c0_1(a522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2755,plain,
    ( ~ c0_1(a522)
    | ~ spl0_107
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(resolution,[],[f2744,f729]) ).

fof(f729,plain,
    ( c1_1(a522)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_107
  <=> c1_1(a522) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2744,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f914,f2588]) ).

fof(f2588,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f905,f901]) ).

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

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

fof(f2740,plain,
    ( spl0_168
    | spl0_115
    | ~ spl0_118
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2721,f919,f782,f767,f1312]) ).

fof(f767,plain,
    ( spl0_115
  <=> c0_1(a505) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

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

fof(f2721,plain,
    ( c1_1(a505)
    | spl0_115
    | ~ spl0_118
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2706,f769]) ).

fof(f769,plain,
    ( ~ c0_1(a505)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f2706,plain,
    ( c0_1(a505)
    | c1_1(a505)
    | ~ spl0_118
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f784]) ).

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

fof(f2737,plain,
    ( spl0_67
    | spl0_70
    | ~ spl0_146
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2730,f1718,f919,f542,f527]) ).

fof(f2730,plain,
    ( c1_1(a502)
    | spl0_70
    | ~ spl0_146
    | ~ spl0_172 ),
    inference(subsumption_resolution,[],[f2711,f544]) ).

fof(f2711,plain,
    ( c0_1(a502)
    | c1_1(a502)
    | ~ spl0_146
    | ~ spl0_172 ),
    inference(resolution,[],[f920,f1720]) ).

fof(f1720,plain,
    ( c2_1(a502)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1718]) ).

fof(f2736,plain,
    ( spl0_66
    | spl0_72
    | ~ spl0_74
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2724,f919,f562,f552,f522]) ).

fof(f522,plain,
    ( spl0_66
  <=> c1_1(a497) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f552,plain,
    ( spl0_72
  <=> c0_1(a497) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f562,plain,
    ( spl0_74
  <=> c2_1(a497) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2724,plain,
    ( c1_1(a497)
    | spl0_72
    | ~ spl0_74
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2709,f554]) ).

fof(f554,plain,
    ( ~ c0_1(a497)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f2709,plain,
    ( c0_1(a497)
    | c1_1(a497)
    | ~ spl0_74
    | ~ spl0_146 ),
    inference(resolution,[],[f920,f564]) ).

fof(f564,plain,
    ( c2_1(a497)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f2631,plain,
    ( spl0_93
    | ~ spl0_108
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2613,f904,f900,f732,f657]) ).

fof(f657,plain,
    ( spl0_93
  <=> c2_1(a514) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2613,plain,
    ( c2_1(a514)
    | ~ spl0_108
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(resolution,[],[f2588,f734]) ).

fof(f2619,plain,
    ( spl0_6
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2618]) ).

fof(f2618,plain,
    ( $false
    | spl0_6
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2610,f224]) ).

fof(f2610,plain,
    ( c2_1(a554)
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_163 ),
    inference(resolution,[],[f2588,f1161]) ).

fof(f1161,plain,
    ( c1_1(a554)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f1160,plain,
    ( spl0_163
  <=> c1_1(a554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2571,plain,
    ( ~ spl0_40
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_149
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f2570]) ).

fof(f2570,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_149
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f2551,f394]) ).

fof(f394,plain,
    ( c3_1(a568)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl0_40
  <=> c3_1(a568) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2551,plain,
    ( ~ c3_1(a568)
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_149
    | ~ spl0_175 ),
    inference(resolution,[],[f2533,f1892]) ).

fof(f2533,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f933,f2489]) ).

fof(f2489,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f914,f887]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f933,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f932,plain,
    ( spl0_149
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2569,plain,
    ( ~ spl0_126
    | ~ spl0_127
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2568]) ).

fof(f2568,plain,
    ( $false
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2550,f824]) ).

fof(f824,plain,
    ( c3_1(a500)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f822,plain,
    ( spl0_126
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2550,plain,
    ( ~ c3_1(a500)
    | ~ spl0_127
    | ~ spl0_139
    | ~ spl0_145
    | ~ spl0_149 ),
    inference(resolution,[],[f2533,f829]) ).

fof(f829,plain,
    ( c2_1(a500)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f827,plain,
    ( spl0_127
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2532,plain,
    ( ~ spl0_162
    | ~ spl0_48
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2517,f913,f886,f432,f1110]) ).

fof(f432,plain,
    ( spl0_48
  <=> c1_1(a504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2517,plain,
    ( ~ c2_1(a504)
    | ~ spl0_48
    | ~ spl0_139
    | ~ spl0_145 ),
    inference(resolution,[],[f2489,f434]) ).

fof(f434,plain,
    ( c1_1(a504)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2484,plain,
    ( spl0_97
    | spl0_100
    | ~ spl0_134
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2483]) ).

fof(f2483,plain,
    ( $false
    | spl0_97
    | spl0_100
    | ~ spl0_134
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2467,f694]) ).

fof(f694,plain,
    ( ~ c0_1(a536)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f692,plain,
    ( spl0_100
  <=> c0_1(a536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f2467,plain,
    ( c0_1(a536)
    | spl0_97
    | ~ spl0_134
    | ~ spl0_156 ),
    inference(resolution,[],[f2449,f679]) ).

fof(f679,plain,
    ( ~ c1_1(a536)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_97
  <=> c1_1(a536) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f2449,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_134
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f965,f867]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2377,plain,
    ( spl0_94
    | spl0_89
    | ~ spl0_135
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2373,f943,f900,f870,f637,f662]) ).

fof(f2373,plain,
    ( c2_1(a496)
    | spl0_89
    | ~ spl0_135
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(resolution,[],[f2351,f639]) ).

fof(f2351,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_135
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f871,f2315]) ).

fof(f2315,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f944,f901]) ).

fof(f2356,plain,
    ( spl0_115
    | ~ spl0_118
    | ~ spl0_139
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f2355]) ).

fof(f2355,plain,
    ( $false
    | spl0_115
    | ~ spl0_118
    | ~ spl0_139
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2354,f784]) ).

fof(f2354,plain,
    ( ~ c2_1(a505)
    | spl0_115
    | ~ spl0_139
    | ~ spl0_168 ),
    inference(subsumption_resolution,[],[f2353,f769]) ).

fof(f2353,plain,
    ( c0_1(a505)
    | ~ c2_1(a505)
    | ~ spl0_139
    | ~ spl0_168 ),
    inference(resolution,[],[f1313,f887]) ).

fof(f1313,plain,
    ( c1_1(a505)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1312]) ).

fof(f2294,plain,
    ( ~ spl0_178
    | spl0_93
    | ~ spl0_108
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2293,f900,f732,f657,f2273]) ).

fof(f2293,plain,
    ( ~ c0_1(a514)
    | spl0_93
    | ~ spl0_108
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2291,f659]) ).

fof(f659,plain,
    ( ~ c2_1(a514)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f2291,plain,
    ( c2_1(a514)
    | ~ c0_1(a514)
    | ~ spl0_108
    | ~ spl0_142 ),
    inference(resolution,[],[f734,f901]) ).

fof(f2279,plain,
    ( spl0_168
    | spl0_115
    | ~ spl0_116
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2257,f866,f772,f767,f1312]) ).

fof(f2257,plain,
    ( c1_1(a505)
    | spl0_115
    | ~ spl0_116
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2247,f769]) ).

fof(f2247,plain,
    ( c0_1(a505)
    | c1_1(a505)
    | ~ spl0_116
    | ~ spl0_134 ),
    inference(resolution,[],[f867,f774]) ).

fof(f2271,plain,
    ( spl0_98
    | spl0_99
    | ~ spl0_103
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2254,f866,f707,f687,f682]) ).

fof(f682,plain,
    ( spl0_98
  <=> c1_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f687,plain,
    ( spl0_99
  <=> c0_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f707,plain,
    ( spl0_103
  <=> c3_1(a507) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2254,plain,
    ( c1_1(a507)
    | spl0_99
    | ~ spl0_103
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2246,f689]) ).

fof(f689,plain,
    ( ~ c0_1(a507)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f2246,plain,
    ( c0_1(a507)
    | c1_1(a507)
    | ~ spl0_103
    | ~ spl0_134 ),
    inference(resolution,[],[f867,f709]) ).

fof(f709,plain,
    ( c3_1(a507)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f2221,plain,
    ( spl0_37
    | ~ spl0_45
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2220,f1305,f886,f417,f377]) ).

fof(f417,plain,
    ( spl0_45
  <=> c2_1(a558) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2220,plain,
    ( c0_1(a558)
    | ~ spl0_45
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f1969,f419]) ).

fof(f419,plain,
    ( c2_1(a558)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f1969,plain,
    ( c0_1(a558)
    | ~ c2_1(a558)
    | ~ spl0_139
    | ~ spl0_167 ),
    inference(resolution,[],[f1306,f887]) ).

fof(f1306,plain,
    ( c1_1(a558)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1305]) ).

fof(f2218,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_12
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2217]) ).

fof(f2217,plain,
    ( $false
    | spl0_5
    | spl0_6
    | ~ spl0_12
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2216,f254]) ).

fof(f254,plain,
    ( c0_1(a554)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f2216,plain,
    ( ~ c0_1(a554)
    | spl0_5
    | spl0_6
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2207,f224]) ).

fof(f2207,plain,
    ( c2_1(a554)
    | ~ c0_1(a554)
    | spl0_5
    | ~ spl0_154 ),
    inference(resolution,[],[f953,f219]) ).

fof(f219,plain,
    ( ~ c3_1(a554)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl0_5
  <=> c3_1(a554) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2195,plain,
    ( spl0_114
    | ~ spl0_117
    | ~ spl0_121
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2194]) ).

fof(f2194,plain,
    ( $false
    | spl0_114
    | ~ spl0_117
    | ~ spl0_121
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2193,f779]) ).

fof(f779,plain,
    ( c3_1(a509)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f777,plain,
    ( spl0_117
  <=> c3_1(a509) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2193,plain,
    ( ~ c3_1(a509)
    | spl0_114
    | ~ spl0_121
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2188,f764]) ).

fof(f764,plain,
    ( ~ c2_1(a509)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f762,plain,
    ( spl0_114
  <=> c2_1(a509) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2188,plain,
    ( c2_1(a509)
    | ~ c3_1(a509)
    | ~ spl0_121
    | ~ spl0_140 ),
    inference(resolution,[],[f893,f799]) ).

fof(f799,plain,
    ( c0_1(a509)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f797,plain,
    ( spl0_121
  <=> c0_1(a509) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f2174,plain,
    ( ~ spl0_160
    | spl0_113
    | ~ spl0_120
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2173,f857,f792,f757,f1073]) ).

fof(f792,plain,
    ( spl0_120
  <=> c0_1(a520) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f857,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2173,plain,
    ( ~ c1_1(a520)
    | spl0_113
    | ~ spl0_120
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f2168,f794]) ).

fof(f794,plain,
    ( c0_1(a520)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f2168,plain,
    ( ~ c1_1(a520)
    | ~ c0_1(a520)
    | spl0_113
    | ~ spl0_132 ),
    inference(resolution,[],[f858,f759]) ).

fof(f858,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f2162,plain,
    ( spl0_114
    | ~ spl0_121
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2161]) ).

fof(f2161,plain,
    ( $false
    | spl0_114
    | ~ spl0_121
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2155,f799]) ).

fof(f2155,plain,
    ( ~ c0_1(a509)
    | spl0_114
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(resolution,[],[f2145,f764]) ).

fof(f2145,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f944,f901]) ).

fof(f2150,plain,
    ( spl0_171
    | ~ spl0_79
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2149,f900,f592,f587,f1372]) ).

fof(f587,plain,
    ( spl0_79
  <=> c1_1(a528) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2149,plain,
    ( c2_1(a528)
    | ~ spl0_79
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2147,f594]) ).

fof(f2147,plain,
    ( c2_1(a528)
    | ~ c0_1(a528)
    | ~ spl0_79
    | ~ spl0_142 ),
    inference(resolution,[],[f589,f901]) ).

fof(f589,plain,
    ( c1_1(a528)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f2144,plain,
    ( spl0_160
    | spl0_113
    | ~ spl0_120
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2143,f882,f792,f757,f1073]) ).

fof(f2143,plain,
    ( c1_1(a520)
    | spl0_113
    | ~ spl0_120
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2128,f794]) ).

fof(f2128,plain,
    ( c1_1(a520)
    | ~ c0_1(a520)
    | spl0_113
    | ~ spl0_138 ),
    inference(resolution,[],[f883,f759]) ).

fof(f2140,plain,
    ( ~ spl0_12
    | spl0_5
    | ~ spl0_138
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2132,f1160,f882,f217,f252]) ).

fof(f2132,plain,
    ( ~ c0_1(a554)
    | spl0_5
    | ~ spl0_138
    | spl0_163 ),
    inference(subsumption_resolution,[],[f2123,f1162]) ).

fof(f1162,plain,
    ( ~ c1_1(a554)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1160]) ).

fof(f2123,plain,
    ( c1_1(a554)
    | ~ c0_1(a554)
    | spl0_5
    | ~ spl0_138 ),
    inference(resolution,[],[f883,f219]) ).

fof(f2137,plain,
    ( spl0_27
    | spl0_35
    | ~ spl0_50
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2136]) ).

fof(f2136,plain,
    ( $false
    | spl0_27
    | spl0_35
    | ~ spl0_50
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2135,f444]) ).

fof(f444,plain,
    ( c0_1(a538)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl0_50
  <=> c0_1(a538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f2135,plain,
    ( ~ c0_1(a538)
    | spl0_27
    | spl0_35
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2124,f369]) ).

fof(f369,plain,
    ( ~ c1_1(a538)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl0_35
  <=> c1_1(a538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2124,plain,
    ( c1_1(a538)
    | ~ c0_1(a538)
    | spl0_27
    | ~ spl0_138 ),
    inference(resolution,[],[f883,f329]) ).

fof(f329,plain,
    ( ~ c3_1(a538)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl0_27
  <=> c3_1(a538) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2121,plain,
    ( spl0_6
    | ~ spl0_12
    | ~ spl0_142
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2120,plain,
    ( $false
    | spl0_6
    | ~ spl0_12
    | ~ spl0_142
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2119,f254]) ).

fof(f2119,plain,
    ( ~ c0_1(a554)
    | spl0_6
    | ~ spl0_142
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2117,f224]) ).

fof(f2117,plain,
    ( c2_1(a554)
    | ~ c0_1(a554)
    | ~ spl0_142
    | ~ spl0_163 ),
    inference(resolution,[],[f1161,f901]) ).

fof(f2086,plain,
    ( ~ spl0_171
    | spl0_62
    | ~ spl0_79
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2085,f936,f587,f502,f1372]) ).

fof(f936,plain,
    ( spl0_150
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2085,plain,
    ( ~ c2_1(a528)
    | spl0_62
    | ~ spl0_79
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f2054,f589]) ).

fof(f2054,plain,
    ( ~ c2_1(a528)
    | ~ c1_1(a528)
    | spl0_62
    | ~ spl0_150 ),
    inference(resolution,[],[f937,f504]) ).

fof(f937,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f2083,plain,
    ( ~ spl0_52
    | spl0_162
    | ~ spl0_48
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1991,f900,f432,f1110,f452]) ).

fof(f1991,plain,
    ( c2_1(a504)
    | ~ c0_1(a504)
    | ~ spl0_48
    | ~ spl0_142 ),
    inference(resolution,[],[f901,f434]) ).

fof(f2082,plain,
    ( ~ spl0_160
    | ~ spl0_119
    | spl0_113
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2056,f936,f757,f787,f1073]) ).

fof(f2056,plain,
    ( ~ c2_1(a520)
    | ~ c1_1(a520)
    | spl0_113
    | ~ spl0_150 ),
    inference(resolution,[],[f937,f759]) ).

fof(f2077,plain,
    ( spl0_29
    | ~ spl0_51
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2076]) ).

fof(f2076,plain,
    ( $false
    | spl0_29
    | ~ spl0_51
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2071,f449]) ).

fof(f449,plain,
    ( c0_1(a510)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl0_51
  <=> c0_1(a510) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2071,plain,
    ( ~ c0_1(a510)
    | spl0_29
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(resolution,[],[f2064,f339]) ).

fof(f339,plain,
    ( ~ c2_1(a510)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl0_29
  <=> c2_1(a510) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2064,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_140
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f953,f893]) ).

fof(f2048,plain,
    ( spl0_29
    | ~ spl0_51
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2047]) ).

fof(f2047,plain,
    ( $false
    | spl0_29
    | ~ spl0_51
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2042,f449]) ).

fof(f2042,plain,
    ( ~ c0_1(a510)
    | spl0_29
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(resolution,[],[f2035,f339]) ).

fof(f2035,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f944,f901]) ).

fof(f2022,plain,
    ( ~ spl0_40
    | ~ spl0_53
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2021]) ).

fof(f2021,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_53
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2007,f394]) ).

fof(f2007,plain,
    ( ~ c3_1(a568)
    | ~ spl0_53
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(resolution,[],[f2002,f459]) ).

fof(f2002,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f940,f893]) ).

fof(f940,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl0_151
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2020,plain,
    ( ~ spl0_126
    | ~ spl0_129
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2019]) ).

fof(f2019,plain,
    ( $false
    | ~ spl0_126
    | ~ spl0_129
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2006,f824]) ).

fof(f2006,plain,
    ( ~ c3_1(a500)
    | ~ spl0_129
    | ~ spl0_140
    | ~ spl0_151 ),
    inference(resolution,[],[f2002,f839]) ).

fof(f839,plain,
    ( c0_1(a500)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_129
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1984,plain,
    ( spl0_175
    | ~ spl0_40
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1983,f892,f457,f392,f1890]) ).

fof(f1983,plain,
    ( c2_1(a568)
    | ~ spl0_40
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1973,f394]) ).

fof(f1973,plain,
    ( c2_1(a568)
    | ~ c3_1(a568)
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(resolution,[],[f893,f459]) ).

fof(f1930,plain,
    ( spl0_142
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1928,f861,f857,f900]) ).

fof(f861,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1928,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(duplicate_literal_removal,[],[f1917]) ).

fof(f1917,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(resolution,[],[f858,f862]) ).

fof(f862,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f1915,plain,
    ( spl0_68
    | ~ spl0_81
    | ~ spl0_138
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1914]) ).

fof(f1914,plain,
    ( $false
    | spl0_68
    | ~ spl0_81
    | ~ spl0_138
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1907,f599]) ).

fof(f1907,plain,
    ( ~ c0_1(a499)
    | spl0_68
    | ~ spl0_138
    | ~ spl0_148 ),
    inference(resolution,[],[f1894,f534]) ).

fof(f1894,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_138
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f883,f930]) ).

fof(f930,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f929,plain,
    ( spl0_148
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1913,plain,
    ( spl0_34
    | ~ spl0_51
    | ~ spl0_138
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1912,plain,
    ( $false
    | spl0_34
    | ~ spl0_51
    | ~ spl0_138
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1904,f449]) ).

fof(f1904,plain,
    ( ~ c0_1(a510)
    | spl0_34
    | ~ spl0_138
    | ~ spl0_148 ),
    inference(resolution,[],[f1894,f364]) ).

fof(f364,plain,
    ( ~ c1_1(a510)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl0_34
  <=> c1_1(a510) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1878,plain,
    ( ~ spl0_121
    | spl0_114
    | ~ spl0_117
    | ~ spl0_133
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1877,f929,f861,f777,f762,f797]) ).

fof(f1877,plain,
    ( ~ c0_1(a509)
    | spl0_114
    | ~ spl0_117
    | ~ spl0_133
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1856,f1286]) ).

fof(f1286,plain,
    ( ~ c1_1(a509)
    | spl0_114
    | ~ spl0_117
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1285,f764]) ).

fof(f1285,plain,
    ( c2_1(a509)
    | ~ c1_1(a509)
    | ~ spl0_117
    | ~ spl0_133 ),
    inference(resolution,[],[f779,f862]) ).

fof(f1856,plain,
    ( c1_1(a509)
    | ~ c0_1(a509)
    | ~ spl0_117
    | ~ spl0_148 ),
    inference(resolution,[],[f930,f779]) ).

fof(f1876,plain,
    ( spl0_31
    | ~ spl0_40
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1875,f929,f457,f392,f347]) ).

fof(f1875,plain,
    ( c1_1(a568)
    | ~ spl0_40
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1850,f459]) ).

fof(f1850,plain,
    ( c1_1(a568)
    | ~ c0_1(a568)
    | ~ spl0_40
    | ~ spl0_148 ),
    inference(resolution,[],[f930,f394]) ).

fof(f1863,plain,
    ( spl0_155
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1862,f929,f924,f958]) ).

fof(f1862,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(duplicate_literal_removal,[],[f1845]) ).

fof(f1845,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(resolution,[],[f930,f925]) ).

fof(f1829,plain,
    ( ~ spl0_119
    | spl0_113
    | ~ spl0_120
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1828,f924,f792,f757,f787]) ).

fof(f1828,plain,
    ( ~ c2_1(a520)
    | spl0_113
    | ~ spl0_120
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f1787,f794]) ).

fof(f1787,plain,
    ( ~ c2_1(a520)
    | ~ c0_1(a520)
    | spl0_113
    | ~ spl0_147 ),
    inference(resolution,[],[f925,f759]) ).

fof(f1666,plain,
    ( spl0_115
    | ~ spl0_116
    | ~ spl0_118
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1665]) ).

fof(f1665,plain,
    ( $false
    | spl0_115
    | ~ spl0_116
    | ~ spl0_118
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1664,f784]) ).

fof(f1664,plain,
    ( ~ c2_1(a505)
    | spl0_115
    | ~ spl0_116
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f1660,f769]) ).

fof(f1660,plain,
    ( c0_1(a505)
    | ~ c2_1(a505)
    | ~ spl0_116
    | ~ spl0_136 ),
    inference(resolution,[],[f875,f774]) ).

fof(f1310,plain,
    ( spl0_115
    | ~ spl0_118
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1294,f919,f886,f782,f767]) ).

fof(f1294,plain,
    ( c0_1(a505)
    | ~ spl0_118
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(resolution,[],[f1262,f784]) ).

fof(f1262,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_139
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f920,f887]) ).

fof(f1259,plain,
    ( ~ spl0_127
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1246,f932,f861,f853,f822,f827]) ).

fof(f1246,plain,
    ( ~ c2_1(a500)
    | ~ spl0_126
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_149 ),
    inference(resolution,[],[f1243,f824]) ).

fof(f1243,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f933,f1103]) ).

fof(f1103,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f854,f862]) ).

fof(f1258,plain,
    ( ~ spl0_116
    | ~ spl0_118
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1257]) ).

fof(f1257,plain,
    ( $false
    | ~ spl0_116
    | ~ spl0_118
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1251,f784]) ).

fof(f1251,plain,
    ( ~ c2_1(a505)
    | ~ spl0_116
    | ~ spl0_131
    | ~ spl0_133
    | ~ spl0_149 ),
    inference(resolution,[],[f1243,f774]) ).

fof(f1192,plain,
    ( spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1191,f900,f257,f242,f227]) ).

fof(f227,plain,
    ( spl0_7
  <=> c2_1(a541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f242,plain,
    ( spl0_10
  <=> c1_1(a541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f257,plain,
    ( spl0_13
  <=> c0_1(a541) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1191,plain,
    ( c2_1(a541)
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1183,f259]) ).

fof(f259,plain,
    ( c0_1(a541)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f1183,plain,
    ( c2_1(a541)
    | ~ c0_1(a541)
    | ~ spl0_10
    | ~ spl0_142 ),
    inference(resolution,[],[f901,f244]) ).

fof(f244,plain,
    ( c1_1(a541)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f1168,plain,
    ( ~ spl0_104
    | spl0_90
    | ~ spl0_106
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1167,f886,f857,f722,f642,f712]) ).

fof(f712,plain,
    ( spl0_104
  <=> c2_1(a501) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f642,plain,
    ( spl0_90
  <=> c3_1(a501) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f722,plain,
    ( spl0_106
  <=> c1_1(a501) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1167,plain,
    ( ~ c2_1(a501)
    | spl0_90
    | ~ spl0_106
    | ~ spl0_132
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1084,f1069]) ).

fof(f1069,plain,
    ( ~ c0_1(a501)
    | spl0_90
    | ~ spl0_106
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1059,f724]) ).

fof(f724,plain,
    ( c1_1(a501)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f1059,plain,
    ( ~ c1_1(a501)
    | ~ c0_1(a501)
    | spl0_90
    | ~ spl0_132 ),
    inference(resolution,[],[f858,f644]) ).

fof(f644,plain,
    ( ~ c3_1(a501)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f1084,plain,
    ( c0_1(a501)
    | ~ c2_1(a501)
    | ~ spl0_106
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f724]) ).

fof(f1127,plain,
    ( spl0_113
    | ~ spl0_120
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1126]) ).

fof(f1126,plain,
    ( $false
    | spl0_113
    | ~ spl0_120
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f1121,f759]) ).

fof(f1121,plain,
    ( c3_1(a520)
    | ~ spl0_120
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(resolution,[],[f1102,f794]) ).

fof(f1102,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_132
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f883,f858]) ).

fof(f1090,plain,
    ( spl0_36
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_133
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1089]) ).

fof(f1089,plain,
    ( $false
    | spl0_36
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_133
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1088,f1009]) ).

fof(f1009,plain,
    ( c2_1(a540)
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1003,f439]) ).

fof(f1003,plain,
    ( c2_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_41
    | ~ spl0_133 ),
    inference(resolution,[],[f862,f399]) ).

fof(f1088,plain,
    ( ~ c2_1(a540)
    | spl0_36
    | ~ spl0_49
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1081,f374]) ).

fof(f1081,plain,
    ( c0_1(a540)
    | ~ c2_1(a540)
    | ~ spl0_49
    | ~ spl0_139 ),
    inference(resolution,[],[f887,f439]) ).

fof(f1070,plain,
    ( ~ spl0_80
    | spl0_62
    | ~ spl0_79
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1066,f857,f587,f502,f592]) ).

fof(f1066,plain,
    ( ~ c0_1(a528)
    | spl0_62
    | ~ spl0_79
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1057,f589]) ).

fof(f1057,plain,
    ( ~ c1_1(a528)
    | ~ c0_1(a528)
    | spl0_62
    | ~ spl0_132 ),
    inference(resolution,[],[f858,f504]) ).

fof(f1053,plain,
    ( ~ spl0_41
    | ~ spl0_49
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1052,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_49
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1043,f439]) ).

fof(f1043,plain,
    ( ~ c1_1(a540)
    | ~ spl0_41
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(resolution,[],[f1038,f399]) ).

fof(f1038,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f854,f862]) ).

fof(f1051,plain,
    ( ~ spl0_43
    | ~ spl0_48
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_48
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1040,f434]) ).

fof(f1040,plain,
    ( ~ c1_1(a504)
    | ~ spl0_43
    | ~ spl0_131
    | ~ spl0_133 ),
    inference(resolution,[],[f1038,f409]) ).

fof(f1037,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_128
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | spl0_124
    | spl0_125
    | ~ spl0_128
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1035,f834]) ).

fof(f834,plain,
    ( c1_1(a498)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_128
  <=> c1_1(a498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1035,plain,
    ( ~ c1_1(a498)
    | spl0_124
    | spl0_125
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1032,f819]) ).

fof(f819,plain,
    ( ~ c0_1(a498)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f817,plain,
    ( spl0_125
  <=> c0_1(a498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1032,plain,
    ( c0_1(a498)
    | ~ c1_1(a498)
    | spl0_124
    | ~ spl0_143 ),
    inference(resolution,[],[f905,f814]) ).

fof(f814,plain,
    ( ~ c2_1(a498)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl0_124
  <=> c2_1(a498) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1024,plain,
    ( spl0_143
    | ~ spl0_133
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1023,f870,f861,f904]) ).

fof(f1023,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1015]) ).

fof(f1015,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133
    | ~ spl0_135 ),
    inference(resolution,[],[f871,f862]) ).

fof(f1014,plain,
    ( ~ spl0_108
    | spl0_93
    | ~ spl0_102
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1010,f861,f702,f657,f732]) ).

fof(f1010,plain,
    ( ~ c1_1(a514)
    | spl0_93
    | ~ spl0_102
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1004,f659]) ).

fof(f1004,plain,
    ( c2_1(a514)
    | ~ c1_1(a514)
    | ~ spl0_102
    | ~ spl0_133 ),
    inference(resolution,[],[f862,f704]) ).

fof(f998,plain,
    ( spl0_135
    | spl0_132
    | spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f198,f900,f857,f870]) ).

fof(f198,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f192,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f997,plain,
    ( spl0_135
    | spl0_156
    | spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f198,f936,f964,f870]) ).

fof(f190,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f992,plain,
    ( spl0_143
    | spl0_139
    | spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f198,f861,f886,f904]) ).

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

fof(f991,plain,
    ( spl0_135
    | spl0_139
    | spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f198,f853,f886,f870]) ).

fof(f194,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f990,plain,
    ( spl0_143
    | spl0_134
    | spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f198,f861,f866,f904]) ).

fof(f191,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f989,plain,
    ( spl0_132
    | spl0_158
    | spl0_148
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f198,f929,f983,f857]) ).

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

fof(f988,plain,
    ( spl0_147
    | spl0_146
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f198,f802,f919,f924]) ).

fof(f802,plain,
    ( spl0_122
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f986,plain,
    ( spl0_148
    | spl0_134
    | spl0_123
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f198,f807,f866,f929]) ).

fof(f807,plain,
    ( spl0_123
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f985,plain,
    ( spl0_152
    | spl0_158
    | spl0_111
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f198,f747,f983,f943]) ).

fof(f747,plain,
    ( spl0_111
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f981,plain,
    ( spl0_137
    | spl0_148
    | spl0_112
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f198,f752,f929,f878]) ).

fof(f752,plain,
    ( spl0_112
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f980,plain,
    ( spl0_152
    | spl0_143
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f198,f612,f904,f943]) ).

fof(f612,plain,
    ( spl0_84
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f979,plain,
    ( spl0_135
    | spl0_142
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f162,f198,f627,f900,f870]) ).

fof(f627,plain,
    ( spl0_87
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f978,plain,
    ( spl0_152
    | spl0_132
    | spl0_84
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f198,f612,f857,f943]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp9
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f976,plain,
    ( spl0_156
    | spl0_145
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f198,f622,f913,f964]) ).

fof(f622,plain,
    ( spl0_86
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f971,plain,
    ( spl0_142
    | spl0_140
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f198,f622,f892,f900]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f969,plain,
    ( spl0_132
    | spl0_151
    | spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f198,f622,f939,f857]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f962,plain,
    ( spl0_152
    | spl0_145
    | spl0_59
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f198,f487,f913,f943]) ).

fof(f487,plain,
    ( spl0_59
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f961,plain,
    ( spl0_146
    | spl0_145
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f198,f482,f913,f919]) ).

fof(f482,plain,
    ( spl0_58
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp5
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f960,plain,
    ( spl0_155
    | spl0_134
    | spl0_56
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f198,f472,f866,f958]) ).

fof(f472,plain,
    ( spl0_56
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f956,plain,
    ( spl0_142
    | spl0_136
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f198,f467,f874,f900]) ).

fof(f467,plain,
    ( spl0_55
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

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

fof(f954,plain,
    ( spl0_154
    | spl0_138
    | spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f198,f262,f882,f952]) ).

fof(f262,plain,
    ( spl0_14
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp22
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f946,plain,
    ( spl0_152
    | spl0_150
    | spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f198,f272,f936,f943]) ).

fof(f272,plain,
    ( spl0_16
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp21
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f934,plain,
    ( spl0_148
    | spl0_149
    | spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f198,f307,f932,f929]) ).

fof(f307,plain,
    ( spl0_23
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp29
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f927,plain,
    ( spl0_138
    | spl0_132
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f198,f202,f857,f882]) ).

fof(f202,plain,
    ( spl0_2
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f926,plain,
    ( spl0_147
    | spl0_140
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f185,f198,f212,f892,f924]) ).

fof(f212,plain,
    ( spl0_4
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp24
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f922,plain,
    ( spl0_138
    | spl0_122
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f198,f602,f802,f882]) ).

fof(f602,plain,
    ( spl0_82
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp31
      | hskp4
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f916,plain,
    ( spl0_143
    | spl0_112
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f142,f198,f607,f752,f904]) ).

fof(f607,plain,
    ( spl0_83
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp12
      | hskp8
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f911,plain,
    ( spl0_144
    | spl0_83
    | spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f147,f198,f632,f607,f909]) ).

fof(f632,plain,
    ( spl0_88
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp20
      | hskp12
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f902,plain,
    ( spl0_142
    | spl0_122
    | spl0_58
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f198,f482,f802,f900]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp4
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f894,plain,
    ( spl0_140
    | spl0_111
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f198,f467,f747,f892]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp15
      | hskp10
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f872,plain,
    ( spl0_135
    | spl0_111
    | spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f136,f198,f302,f747,f870]) ).

fof(f302,plain,
    ( spl0_22
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f863,plain,
    ( spl0_133
    | spl0_60
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f198,f267,f492,f861]) ).

fof(f492,plain,
    ( spl0_60
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f267,plain,
    ( spl0_15
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp25
      | hskp26
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f846,plain,
    ( spl0_122
    | spl0_112
    | spl0_86 ),
    inference(avatar_split_clause,[],[f39,f622,f752,f802]) ).

fof(f39,axiom,
    ( hskp2
    | hskp8
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f845,plain,
    ( spl0_110
    | spl0_83
    | spl0_55 ),
    inference(avatar_split_clause,[],[f33,f467,f607,f742]) ).

fof(f742,plain,
    ( spl0_110
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f33,axiom,
    ( hskp15
    | hskp12
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f842,plain,
    ( spl0_111
    | spl0_60
    | spl0_19 ),
    inference(avatar_split_clause,[],[f37,f287,f492,f747]) ).

fof(f287,plain,
    ( spl0_19
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f37,axiom,
    ( hskp27
    | hskp26
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f840,plain,
    ( spl0_129
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f49,f807,f837]) ).

fof(f49,axiom,
    ( ~ hskp28
    | c0_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f835,plain,
    ( spl0_128
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f84,f802,f832]) ).

fof(f84,axiom,
    ( ~ hskp4
    | c1_1(a498) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f830,plain,
    ( spl0_127
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f50,f807,f827]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c2_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f825,plain,
    ( spl0_126
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f51,f807,f822]) ).

fof(f51,axiom,
    ( ~ hskp28
    | c3_1(a500) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f820,plain,
    ( ~ spl0_125
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f125,f802,f817]) ).

fof(f125,axiom,
    ( ~ hskp4
    | ~ c0_1(a498) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f815,plain,
    ( ~ spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f126,f802,f812]) ).

fof(f126,axiom,
    ( ~ hskp4
    | ~ c2_1(a498) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f805,plain,
    ( spl0_1
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f28,f802,f198]) ).

fof(f28,axiom,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f800,plain,
    ( spl0_121
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f75,f747,f797]) ).

fof(f75,axiom,
    ( ~ hskp10
    | c0_1(a509) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f795,plain,
    ( spl0_120
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f70,f742,f792]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c0_1(a520) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f790,plain,
    ( spl0_119
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f71,f742,f787]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c2_1(a520) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f785,plain,
    ( spl0_118
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f78,f752,f782]) ).

fof(f78,axiom,
    ( ~ hskp8
    | c2_1(a505) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f780,plain,
    ( spl0_117
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f76,f747,f777]) ).

fof(f76,axiom,
    ( ~ hskp10
    | c3_1(a509) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f775,plain,
    ( spl0_116
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f79,f752,f772]) ).

fof(f79,axiom,
    ( ~ hskp8
    | c3_1(a505) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f770,plain,
    ( ~ spl0_115
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f119,f752,f767]) ).

fof(f119,axiom,
    ( ~ hskp8
    | ~ c0_1(a505) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f765,plain,
    ( ~ spl0_114
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f116,f747,f762]) ).

fof(f116,axiom,
    ( ~ hskp10
    | ~ c2_1(a509) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f760,plain,
    ( ~ spl0_113
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f112,f742,f757]) ).

fof(f112,axiom,
    ( ~ hskp13
    | ~ c3_1(a520) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f755,plain,
    ( spl0_1
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f24,f752,f198]) ).

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

fof(f740,plain,
    ( spl0_109
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f40,f602,f737]) ).

fof(f40,axiom,
    ( ~ hskp31
    | c0_1(a522) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f735,plain,
    ( spl0_108
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f72,f607,f732]) ).

fof(f72,axiom,
    ( ~ hskp12
    | c1_1(a514) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f730,plain,
    ( spl0_107
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f41,f602,f727]) ).

fof(f41,axiom,
    ( ~ hskp31
    | c1_1(a522) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f725,plain,
    ( spl0_106
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f80,f627,f722]) ).

fof(f80,axiom,
    ( ~ hskp6
    | c1_1(a501) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f715,plain,
    ( spl0_104
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f81,f627,f712]) ).

fof(f81,axiom,
    ( ~ hskp6
    | c2_1(a501) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f710,plain,
    ( spl0_103
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f77,f612,f707]) ).

fof(f77,axiom,
    ( ~ hskp9
    | c3_1(a507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f705,plain,
    ( spl0_102
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f73,f607,f702]) ).

fof(f73,axiom,
    ( ~ hskp12
    | c3_1(a514) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f695,plain,
    ( ~ spl0_100
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f100,f632,f692]) ).

fof(f100,axiom,
    ( ~ hskp20
    | ~ c0_1(a536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f690,plain,
    ( ~ spl0_99
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f117,f612,f687]) ).

fof(f117,axiom,
    ( ~ hskp9
    | ~ c0_1(a507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f685,plain,
    ( ~ spl0_98
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f118,f612,f682]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c1_1(a507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f680,plain,
    ( ~ spl0_97
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f101,f632,f677]) ).

fof(f101,axiom,
    ( ~ hskp20
    | ~ c1_1(a536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f670,plain,
    ( ~ spl0_95
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f129,f622,f667]) ).

fof(f129,axiom,
    ( ~ hskp2
    | ~ c1_1(a496) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f665,plain,
    ( ~ spl0_94
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f130,f622,f662]) ).

fof(f130,axiom,
    ( ~ hskp2
    | ~ c2_1(a496) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f660,plain,
    ( ~ spl0_93
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f113,f607,f657]) ).

fof(f113,axiom,
    ( ~ hskp12
    | ~ c2_1(a514) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f645,plain,
    ( ~ spl0_90
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f123,f627,f642]) ).

fof(f123,axiom,
    ( ~ hskp6
    | ~ c3_1(a501) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f640,plain,
    ( ~ spl0_89
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f131,f622,f637]) ).

fof(f131,axiom,
    ( ~ hskp2
    | ~ c3_1(a496) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f625,plain,
    ( spl0_1
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f30,f622,f198]) ).

fof(f30,axiom,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f600,plain,
    ( spl0_81
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f82,f482,f597]) ).

fof(f82,axiom,
    ( ~ hskp5
    | c0_1(a499) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f595,plain,
    ( spl0_80
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f67,f467,f592]) ).

fof(f67,axiom,
    ( ~ hskp15
    | c0_1(a528) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f590,plain,
    ( spl0_79
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f68,f467,f587]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c1_1(a528) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f575,plain,
    ( spl0_76
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f83,f482,f572]) ).

fof(f83,axiom,
    ( ~ hskp5
    | c2_1(a499) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f565,plain,
    ( spl0_74
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f85,f487,f562]) ).

fof(f85,axiom,
    ( ~ hskp3
    | c2_1(a497) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f555,plain,
    ( ~ spl0_72
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f127,f487,f552]) ).

fof(f127,axiom,
    ( ~ hskp3
    | ~ c0_1(a497) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f545,plain,
    ( ~ spl0_70
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f120,f472,f542]) ).

fof(f120,axiom,
    ( ~ hskp7
    | ~ c0_1(a502) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f540,plain,
    ( ~ spl0_69
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f89,f492,f537]) ).

fof(f89,axiom,
    ( ~ hskp26
    | ~ c0_1(a559) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f535,plain,
    ( ~ spl0_68
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f124,f482,f532]) ).

fof(f124,axiom,
    ( ~ hskp5
    | ~ c1_1(a499) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f530,plain,
    ( ~ spl0_67
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f121,f472,f527]) ).

fof(f121,axiom,
    ( ~ hskp7
    | ~ c1_1(a502) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f525,plain,
    ( ~ spl0_66
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f128,f487,f522]) ).

fof(f128,axiom,
    ( ~ hskp3
    | ~ c1_1(a497) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f520,plain,
    ( ~ spl0_65
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f90,f492,f517]) ).

fof(f90,axiom,
    ( ~ hskp26
    | ~ c2_1(a559) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f515,plain,
    ( ~ spl0_64
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f91,f492,f512]) ).

fof(f91,axiom,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f510,plain,
    ( ~ spl0_63
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f122,f472,f507]) ).

fof(f122,axiom,
    ( ~ hskp7
    | ~ c3_1(a502) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f505,plain,
    ( ~ spl0_62
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f109,f467,f502]) ).

fof(f109,axiom,
    ( ~ hskp15
    | ~ c3_1(a528) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f460,plain,
    ( spl0_53
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f52,f287,f457]) ).

fof(f52,axiom,
    ( ~ hskp27
    | c0_1(a568) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f455,plain,
    ( spl0_52
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f46,f307,f452]) ).

fof(f46,axiom,
    ( ~ hskp29
    | c0_1(a504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f450,plain,
    ( spl0_51
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f74,f302,f447]) ).

fof(f74,axiom,
    ( ~ hskp11
    | c0_1(a510) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f445,plain,
    ( spl0_50
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f60,f272,f442]) ).

fof(f60,axiom,
    ( ~ hskp21
    | c0_1(a538) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f440,plain,
    ( spl0_49
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f58,f262,f437]) ).

fof(f58,axiom,
    ( ~ hskp22
    | c1_1(a540) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f435,plain,
    ( spl0_48
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f47,f307,f432]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c1_1(a504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f420,plain,
    ( spl0_45
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f54,f267,f417]) ).

fof(f54,axiom,
    ( ~ hskp25
    | c2_1(a558) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f410,plain,
    ( spl0_43
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f48,f307,f407]) ).

fof(f48,axiom,
    ( ~ hskp29
    | c3_1(a504) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f400,plain,
    ( spl0_41
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f59,f262,f397]) ).

fof(f59,axiom,
    ( ~ hskp22
    | c3_1(a540) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f395,plain,
    ( spl0_40
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f53,f287,f392]) ).

fof(f53,axiom,
    ( ~ hskp27
    | c3_1(a568) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f380,plain,
    ( ~ spl0_37
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f92,f267,f377]) ).

fof(f92,axiom,
    ( ~ hskp25
    | ~ c0_1(a558) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f375,plain,
    ( ~ spl0_36
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f97,f262,f372]) ).

fof(f97,axiom,
    ( ~ hskp22
    | ~ c0_1(a540) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f370,plain,
    ( ~ spl0_35
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f98,f272,f367]) ).

fof(f98,axiom,
    ( ~ hskp21
    | ~ c1_1(a538) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f365,plain,
    ( ~ spl0_34
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f114,f302,f362]) ).

fof(f114,axiom,
    ( ~ hskp11
    | ~ c1_1(a510) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f350,plain,
    ( ~ spl0_31
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f88,f287,f347]) ).

fof(f88,axiom,
    ( ~ hskp27
    | ~ c1_1(a568) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f340,plain,
    ( ~ spl0_29
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f115,f302,f337]) ).

fof(f115,axiom,
    ( ~ hskp11
    | ~ c2_1(a510) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f330,plain,
    ( ~ spl0_27
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f99,f272,f327]) ).

fof(f99,axiom,
    ( ~ hskp21
    | ~ c3_1(a538) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f320,plain,
    ( ~ spl0_25
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f93,f267,f317]) ).

fof(f93,axiom,
    ( ~ hskp25
    | ~ c3_1(a558) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f260,plain,
    ( spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f56,f202,f257]) ).

fof(f56,axiom,
    ( ~ hskp23
    | c0_1(a541) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f255,plain,
    ( spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f55,f212,f252]) ).

fof(f55,axiom,
    ( ~ hskp24
    | c0_1(a554) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f245,plain,
    ( spl0_10
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f57,f202,f242]) ).

fof(f57,axiom,
    ( ~ hskp23
    | c1_1(a541) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f230,plain,
    ( ~ spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f96,f202,f227]) ).

fof(f96,axiom,
    ( ~ hskp23
    | ~ c2_1(a541) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f225,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f94,f212,f222]) ).

fof(f94,axiom,
    ( ~ hskp24
    | ~ c2_1(a554) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f220,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f95,f212,f217]) ).

fof(f95,axiom,
    ( ~ hskp24
    | ~ c3_1(a554) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:09:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (19108)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (19117)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (19114)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (19116)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (19118)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (19115)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (19120)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (19119)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.14/0.41  TRYING [5]
% 0.14/0.41  TRYING [5]
% 0.14/0.42  TRYING [5]
% 0.14/0.42  TRYING [5]
% 0.14/0.43  % (19119)First to succeed.
% 0.21/0.44  % (19119)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19108"
% 0.21/0.44  % (19119)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46  % (19119)------------------------------
% 0.21/0.46  % (19119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.46  % (19119)Termination reason: Refutation
% 0.21/0.46  
% 0.21/0.46  % (19119)Memory used [KB]: 1811
% 0.21/0.46  % (19119)Time elapsed: 0.062 s
% 0.21/0.46  % (19119)Instructions burned: 74 (million)
% 0.21/0.46  % (19108)Success in time 0.098 s
%------------------------------------------------------------------------------