TSTP Solution File: SYN504-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN504-1 : 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 : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:11:07 EDT 2024

% Result   : Unsatisfiable 0.38s 0.62s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  252
% Syntax   : Number of formulae    :  709 (   1 unt;   0 def)
%            Number of atoms       : 2347 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2858 (1220   ~;1502   |;   0   &)
%                                         ( 136 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  167 ( 166 usr; 163 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  142 ( 142   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3356,plain,
    $false,
    inference(avatar_sat_refutation,[],[f237,f282,f337,f342,f347,f357,f362,f367,f372,f377,f387,f392,f397,f402,f462,f467,f472,f477,f482,f487,f492,f507,f512,f517,f522,f527,f532,f537,f542,f547,f552,f562,f567,f572,f577,f587,f592,f622,f627,f632,f637,f642,f647,f652,f657,f662,f667,f672,f677,f682,f687,f692,f717,f722,f727,f732,f737,f742,f747,f752,f757,f762,f767,f772,f782,f792,f802,f807,f822,f827,f832,f837,f842,f847,f852,f853,f855,f860,f868,f872,f876,f888,f897,f898,f920,f921,f922,f927,f928,f932,f947,f955,f963,f971,f975,f979,f983,f984,f985,f990,f993,f994,f995,f996,f997,f998,f999,f1002,f1006,f1008,f1009,f1014,f1020,f1022,f1023,f1028,f1051,f1088,f1107,f1113,f1114,f1129,f1131,f1174,f1176,f1191,f1192,f1224,f1281,f1301,f1308,f1348,f1392,f1417,f1477,f1520,f1769,f1832,f1857,f1859,f1885,f2119,f2158,f2182,f2194,f2289,f2319,f2358,f2382,f2429,f2434,f2474,f2486,f2510,f2512,f2548,f2574,f2595,f2597,f2599,f2620,f2638,f2667,f2670,f2689,f2690,f2719,f2747,f2827,f2899,f2901,f2971,f2978,f3010,f3069,f3121,f3141,f3185,f3186,f3192,f3196,f3232,f3275,f3315,f3322,f3351,f3355]) ).

fof(f3355,plain,
    ( spl0_105
    | spl0_106
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3354]) ).

fof(f3354,plain,
    ( $false
    | spl0_105
    | spl0_106
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3345,f736]) ).

fof(f736,plain,
    ( ~ c0_1(a387)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f734,plain,
    ( spl0_106
  <=> c0_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3345,plain,
    ( c0_1(a387)
    | spl0_105
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(resolution,[],[f3325,f731]) ).

fof(f731,plain,
    ( ~ c2_1(a387)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f729,plain,
    ( spl0_105
  <=> c2_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f3325,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f970,f3236]) ).

fof(f3236,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f871,f867]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_131
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f871,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f870,plain,
    ( spl0_132
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f970,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f969,plain,
    ( spl0_154
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3351,plain,
    ( spl0_32
    | spl0_34
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f3350]) ).

fof(f3350,plain,
    ( $false
    | spl0_32
    | spl0_34
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f3340,f376]) ).

fof(f376,plain,
    ( ~ c0_1(a395)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl0_34
  <=> c0_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3340,plain,
    ( c0_1(a395)
    | spl0_32
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(resolution,[],[f3325,f366]) ).

fof(f366,plain,
    ( ~ c2_1(a395)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl0_32
  <=> c2_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3322,plain,
    ( ~ spl0_170
    | spl0_104
    | ~ spl0_111
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3310,f987,f759,f724,f1577]) ).

fof(f1577,plain,
    ( spl0_170
  <=> c0_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f724,plain,
    ( spl0_104
  <=> c3_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f759,plain,
    ( spl0_111
  <=> c2_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f987,plain,
    ( spl0_158
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3310,plain,
    ( ~ c0_1(a363)
    | spl0_104
    | ~ spl0_111
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3297,f726]) ).

fof(f726,plain,
    ( ~ c3_1(a363)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f3297,plain,
    ( c3_1(a363)
    | ~ c0_1(a363)
    | ~ spl0_111
    | ~ spl0_158 ),
    inference(resolution,[],[f988,f761]) ).

fof(f761,plain,
    ( c2_1(a363)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f988,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f3315,plain,
    ( spl0_52
    | ~ spl0_71
    | ~ spl0_74
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3314,f987,f574,f559,f464]) ).

fof(f464,plain,
    ( spl0_52
  <=> c3_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f559,plain,
    ( spl0_71
  <=> c2_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f574,plain,
    ( spl0_74
  <=> c0_1(a370) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3314,plain,
    ( c3_1(a370)
    | ~ spl0_71
    | ~ spl0_74
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3294,f576]) ).

fof(f576,plain,
    ( c0_1(a370)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f3294,plain,
    ( c3_1(a370)
    | ~ c0_1(a370)
    | ~ spl0_71
    | ~ spl0_158 ),
    inference(resolution,[],[f988,f561]) ).

fof(f561,plain,
    ( c2_1(a370)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f3275,plain,
    ( spl0_28
    | spl0_26
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f3271,f945,f918,f334,f344]) ).

fof(f344,plain,
    ( spl0_28
  <=> c3_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f334,plain,
    ( spl0_26
  <=> c1_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f918,plain,
    ( spl0_143
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f945,plain,
    ( spl0_148
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3271,plain,
    ( c3_1(a359)
    | spl0_26
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(resolution,[],[f3261,f336]) ).

fof(f336,plain,
    ( ~ c1_1(a359)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f3261,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f946,f919]) ).

fof(f919,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f946,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f3232,plain,
    ( spl0_162
    | ~ spl0_94
    | ~ spl0_95
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3231,f866,f679,f674,f1053]) ).

fof(f1053,plain,
    ( spl0_162
  <=> c0_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f674,plain,
    ( spl0_94
  <=> c3_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f679,plain,
    ( spl0_95
  <=> c2_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f3231,plain,
    ( c0_1(a365)
    | ~ spl0_94
    | ~ spl0_95
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f3221,f681]) ).

fof(f681,plain,
    ( c2_1(a365)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f3221,plain,
    ( c0_1(a365)
    | ~ c2_1(a365)
    | ~ spl0_94
    | ~ spl0_131 ),
    inference(resolution,[],[f867,f676]) ).

fof(f676,plain,
    ( c3_1(a365)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f3196,plain,
    ( spl0_120
    | spl0_174
    | spl0_117
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3064,f895,f789,f1741,f804]) ).

fof(f804,plain,
    ( spl0_120
  <=> c2_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1741,plain,
    ( spl0_174
  <=> c0_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f789,plain,
    ( spl0_117
  <=> c1_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f895,plain,
    ( spl0_138
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3064,plain,
    ( c0_1(a360)
    | c2_1(a360)
    | spl0_117
    | ~ spl0_138 ),
    inference(resolution,[],[f896,f791]) ).

fof(f791,plain,
    ( ~ c1_1(a360)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f896,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f3192,plain,
    ( spl0_170
    | ~ spl0_107
    | ~ spl0_111
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3191,f973,f759,f739,f1577]) ).

fof(f739,plain,
    ( spl0_107
  <=> c1_1(a363) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f973,plain,
    ( spl0_155
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3191,plain,
    ( c0_1(a363)
    | ~ spl0_107
    | ~ spl0_111
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f3170,f761]) ).

fof(f3170,plain,
    ( c0_1(a363)
    | ~ c2_1(a363)
    | ~ spl0_107
    | ~ spl0_155 ),
    inference(resolution,[],[f974,f741]) ).

fof(f741,plain,
    ( c1_1(a363)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f974,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f3186,plain,
    ( ~ spl0_163
    | spl0_57
    | ~ spl0_62
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3171,f973,f514,f489,f1109]) ).

fof(f1109,plain,
    ( spl0_163
  <=> c2_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f489,plain,
    ( spl0_57
  <=> c0_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f514,plain,
    ( spl0_62
  <=> c1_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f3171,plain,
    ( c0_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_62
    | ~ spl0_155 ),
    inference(resolution,[],[f974,f516]) ).

fof(f516,plain,
    ( c1_1(a357)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f3185,plain,
    ( spl0_27
    | spl0_31
    | ~ spl0_130
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f3184,f1710,f862,f359,f339]) ).

fof(f339,plain,
    ( spl0_27
  <=> c3_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f359,plain,
    ( spl0_31
  <=> c2_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f862,plain,
    ( spl0_130
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1710,plain,
    ( spl0_173
  <=> c0_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f3184,plain,
    ( c3_1(a388)
    | spl0_31
    | ~ spl0_130
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f3110,f361]) ).

fof(f361,plain,
    ( ~ c2_1(a388)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f3110,plain,
    ( c2_1(a388)
    | c3_1(a388)
    | ~ spl0_130
    | ~ spl0_173 ),
    inference(resolution,[],[f863,f1712]) ).

fof(f1712,plain,
    ( c0_1(a388)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1710]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f3141,plain,
    ( ~ spl0_174
    | spl0_117
    | spl0_119
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f3140,f918,f799,f789,f1741]) ).

fof(f799,plain,
    ( spl0_119
  <=> c3_1(a360) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3140,plain,
    ( ~ c0_1(a360)
    | spl0_117
    | spl0_119
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f3134,f801]) ).

fof(f801,plain,
    ( ~ c3_1(a360)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f3134,plain,
    ( c3_1(a360)
    | ~ c0_1(a360)
    | spl0_117
    | ~ spl0_143 ),
    inference(resolution,[],[f919,f791]) ).

fof(f3121,plain,
    ( spl0_171
    | spl0_85
    | ~ spl0_97
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3120,f862,f689,f629,f1595]) ).

fof(f1595,plain,
    ( spl0_171
  <=> c2_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f629,plain,
    ( spl0_85
  <=> c3_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f689,plain,
    ( spl0_97
  <=> c0_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3120,plain,
    ( c2_1(a380)
    | spl0_85
    | ~ spl0_97
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f3111,f631]) ).

fof(f631,plain,
    ( ~ c3_1(a380)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f3111,plain,
    ( c2_1(a380)
    | c3_1(a380)
    | ~ spl0_97
    | ~ spl0_130 ),
    inference(resolution,[],[f863,f691]) ).

fof(f691,plain,
    ( c0_1(a380)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f3069,plain,
    ( spl0_102
    | spl0_105
    | spl0_106
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f3068]) ).

fof(f3068,plain,
    ( $false
    | spl0_102
    | spl0_105
    | spl0_106
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3067,f731]) ).

fof(f3067,plain,
    ( c2_1(a387)
    | spl0_102
    | spl0_106
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f3062,f736]) ).

fof(f3062,plain,
    ( c0_1(a387)
    | c2_1(a387)
    | spl0_102
    | ~ spl0_138 ),
    inference(resolution,[],[f896,f716]) ).

fof(f716,plain,
    ( ~ c1_1(a387)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f714,plain,
    ( spl0_102
  <=> c1_1(a387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3010,plain,
    ( spl0_126
    | ~ spl0_128
    | ~ spl0_151
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3009]) ).

fof(f3009,plain,
    ( $false
    | spl0_126
    | ~ spl0_128
    | ~ spl0_151
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f2994,f836]) ).

fof(f836,plain,
    ( ~ c0_1(a358)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl0_126
  <=> c0_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f2994,plain,
    ( c0_1(a358)
    | ~ spl0_128
    | ~ spl0_151
    | ~ spl0_155 ),
    inference(resolution,[],[f2979,f846]) ).

fof(f846,plain,
    ( c2_1(a358)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl0_128
  <=> c2_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2979,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_151
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f974,f958]) ).

fof(f958,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl0_151
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f2978,plain,
    ( spl0_51
    | ~ spl0_63
    | ~ spl0_77
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2977]) ).

fof(f2977,plain,
    ( $false
    | spl0_51
    | ~ spl0_63
    | ~ spl0_77
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2976,f591]) ).

fof(f591,plain,
    ( c0_1(a355)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f589,plain,
    ( spl0_77
  <=> c0_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f2976,plain,
    ( ~ c0_1(a355)
    | spl0_51
    | ~ spl0_63
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2960,f461]) ).

fof(f461,plain,
    ( ~ c1_1(a355)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl0_51
  <=> c1_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2960,plain,
    ( c1_1(a355)
    | ~ c0_1(a355)
    | ~ spl0_63
    | ~ spl0_152 ),
    inference(resolution,[],[f962,f521]) ).

fof(f521,plain,
    ( c3_1(a355)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f519,plain,
    ( spl0_63
  <=> c3_1(a355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f962,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f961,plain,
    ( spl0_152
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2971,plain,
    ( spl0_124
    | ~ spl0_127
    | ~ spl0_152
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f2970]) ).

fof(f2970,plain,
    ( $false
    | spl0_124
    | ~ spl0_127
    | ~ spl0_152
    | ~ spl0_169 ),
    inference(subsumption_resolution,[],[f2969,f1433]) ).

fof(f1433,plain,
    ( c0_1(a368)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1431]) ).

fof(f1431,plain,
    ( spl0_169
  <=> c0_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2969,plain,
    ( ~ c0_1(a368)
    | spl0_124
    | ~ spl0_127
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2956,f826]) ).

fof(f826,plain,
    ( ~ c1_1(a368)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f824,plain,
    ( spl0_124
  <=> c1_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2956,plain,
    ( c1_1(a368)
    | ~ c0_1(a368)
    | ~ spl0_127
    | ~ spl0_152 ),
    inference(resolution,[],[f962,f841]) ).

fof(f841,plain,
    ( c3_1(a368)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_127
  <=> c3_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2901,plain,
    ( spl0_167
    | ~ spl0_61
    | ~ spl0_66
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2900,f936,f534,f509,f1421]) ).

fof(f1421,plain,
    ( spl0_167
  <=> c2_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f509,plain,
    ( spl0_61
  <=> c1_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f534,plain,
    ( spl0_66
  <=> c3_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f936,plain,
    ( spl0_146
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2900,plain,
    ( c2_1(a373)
    | ~ spl0_61
    | ~ spl0_66
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2881,f511]) ).

fof(f511,plain,
    ( c1_1(a373)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f2881,plain,
    ( c2_1(a373)
    | ~ c1_1(a373)
    | ~ spl0_66
    | ~ spl0_146 ),
    inference(resolution,[],[f937,f536]) ).

fof(f536,plain,
    ( c3_1(a373)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f937,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f2899,plain,
    ( spl0_163
    | ~ spl0_62
    | ~ spl0_65
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2898,f936,f529,f514,f1109]) ).

fof(f529,plain,
    ( spl0_65
  <=> c3_1(a357) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f2898,plain,
    ( c2_1(a357)
    | ~ spl0_62
    | ~ spl0_65
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2888,f516]) ).

fof(f2888,plain,
    ( c2_1(a357)
    | ~ c1_1(a357)
    | ~ spl0_65
    | ~ spl0_146 ),
    inference(resolution,[],[f937,f531]) ).

fof(f531,plain,
    ( c3_1(a357)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f2827,plain,
    ( ~ spl0_61
    | ~ spl0_72
    | ~ spl0_135
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f2826]) ).

fof(f2826,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_72
    | ~ spl0_135
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2825,f511]) ).

fof(f2825,plain,
    ( ~ c1_1(a373)
    | ~ spl0_72
    | ~ spl0_135
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f2810,f566]) ).

fof(f566,plain,
    ( c0_1(a373)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f564,plain,
    ( spl0_72
  <=> c0_1(a373) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2810,plain,
    ( ~ c0_1(a373)
    | ~ c1_1(a373)
    | ~ spl0_135
    | ~ spl0_167 ),
    inference(resolution,[],[f883,f1423]) ).

fof(f1423,plain,
    ( c2_1(a373)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f883,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl0_135
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2747,plain,
    ( spl0_174
    | spl0_120
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2744,f969,f870,f804,f1741]) ).

fof(f2744,plain,
    ( c0_1(a360)
    | spl0_120
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(resolution,[],[f2725,f806]) ).

fof(f806,plain,
    ( ~ c2_1(a360)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f2725,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f970,f871]) ).

fof(f2719,plain,
    ( spl0_84
    | spl0_89
    | ~ spl0_148
    | spl0_179 ),
    inference(avatar_contradiction_clause,[],[f2718]) ).

fof(f2718,plain,
    ( $false
    | spl0_84
    | spl0_89
    | ~ spl0_148
    | spl0_179 ),
    inference(subsumption_resolution,[],[f2717,f626]) ).

fof(f626,plain,
    ( ~ c3_1(a366)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl0_84
  <=> c3_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2717,plain,
    ( c3_1(a366)
    | spl0_89
    | ~ spl0_148
    | spl0_179 ),
    inference(subsumption_resolution,[],[f2711,f651]) ).

fof(f651,plain,
    ( ~ c0_1(a366)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f649,plain,
    ( spl0_89
  <=> c0_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f2711,plain,
    ( c0_1(a366)
    | c3_1(a366)
    | ~ spl0_148
    | spl0_179 ),
    inference(resolution,[],[f946,f2465]) ).

fof(f2465,plain,
    ( ~ c1_1(a366)
    | spl0_179 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f2464,plain,
    ( spl0_179
  <=> c1_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f2690,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_134
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2576,f2464,f878,f649,f644]) ).

fof(f644,plain,
    ( spl0_88
  <=> c2_1(a366) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f878,plain,
    ( spl0_134
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f2576,plain,
    ( c0_1(a366)
    | c2_1(a366)
    | ~ spl0_134
    | ~ spl0_179 ),
    inference(resolution,[],[f2466,f879]) ).

fof(f879,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f2466,plain,
    ( c1_1(a366)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f2689,plain,
    ( spl0_57
    | ~ spl0_65
    | ~ spl0_131
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f2688]) ).

fof(f2688,plain,
    ( $false
    | spl0_57
    | ~ spl0_65
    | ~ spl0_131
    | ~ spl0_163 ),
    inference(subsumption_resolution,[],[f2687,f1110]) ).

fof(f1110,plain,
    ( c2_1(a357)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1109]) ).

fof(f2687,plain,
    ( ~ c2_1(a357)
    | spl0_57
    | ~ spl0_65
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f2685,f491]) ).

fof(f491,plain,
    ( ~ c0_1(a357)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f2685,plain,
    ( c0_1(a357)
    | ~ c2_1(a357)
    | ~ spl0_65
    | ~ spl0_131 ),
    inference(resolution,[],[f867,f531]) ).

fof(f2670,plain,
    ( spl0_55
    | ~ spl0_60
    | ~ spl0_157
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2669]) ).

fof(f2669,plain,
    ( $false
    | spl0_55
    | ~ spl0_60
    | ~ spl0_157
    | spl0_166 ),
    inference(subsumption_resolution,[],[f2668,f1397]) ).

fof(f1397,plain,
    ( ~ c3_1(a353)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1395]) ).

fof(f1395,plain,
    ( spl0_166
  <=> c3_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2668,plain,
    ( c3_1(a353)
    | spl0_55
    | ~ spl0_60
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2660,f481]) ).

fof(f481,plain,
    ( ~ c2_1(a353)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f479,plain,
    ( spl0_55
  <=> c2_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f2660,plain,
    ( c2_1(a353)
    | c3_1(a353)
    | ~ spl0_60
    | ~ spl0_157 ),
    inference(resolution,[],[f982,f506]) ).

fof(f506,plain,
    ( c1_1(a353)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f504,plain,
    ( spl0_60
  <=> c1_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f982,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f981,plain,
    ( spl0_157
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2667,plain,
    ( spl0_27
    | spl0_31
    | ~ spl0_36
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2666]) ).

fof(f2666,plain,
    ( $false
    | spl0_27
    | spl0_31
    | ~ spl0_36
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2665,f341]) ).

fof(f341,plain,
    ( ~ c3_1(a388)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2665,plain,
    ( c3_1(a388)
    | spl0_31
    | ~ spl0_36
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2655,f361]) ).

fof(f2655,plain,
    ( c2_1(a388)
    | c3_1(a388)
    | ~ spl0_36
    | ~ spl0_157 ),
    inference(resolution,[],[f982,f386]) ).

fof(f386,plain,
    ( c1_1(a388)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_36
  <=> c1_1(a388) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2638,plain,
    ( spl0_26
    | spl0_33
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2637]) ).

fof(f2637,plain,
    ( $false
    | spl0_26
    | spl0_33
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f2633,f371]) ).

fof(f371,plain,
    ( ~ c0_1(a359)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f369,plain,
    ( spl0_33
  <=> c0_1(a359) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2633,plain,
    ( c0_1(a359)
    | spl0_26
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(resolution,[],[f2621,f336]) ).

fof(f2621,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f946,f942]) ).

fof(f942,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_147
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2620,plain,
    ( spl0_30
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | spl0_30
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2618,f391]) ).

fof(f391,plain,
    ( c1_1(a398)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f389,plain,
    ( spl0_37
  <=> c1_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2618,plain,
    ( ~ c1_1(a398)
    | spl0_30
    | ~ spl0_39
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f2615,f356]) ).

fof(f356,plain,
    ( ~ c2_1(a398)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f354,plain,
    ( spl0_30
  <=> c2_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2615,plain,
    ( c2_1(a398)
    | ~ c1_1(a398)
    | ~ spl0_39
    | ~ spl0_146 ),
    inference(resolution,[],[f937,f401]) ).

fof(f401,plain,
    ( c3_1(a398)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl0_39
  <=> c3_1(a398) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2599,plain,
    ( spl0_55
    | ~ spl0_60
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2598]) ).

fof(f2598,plain,
    ( $false
    | spl0_55
    | ~ spl0_60
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2591,f481]) ).

fof(f2591,plain,
    ( c2_1(a353)
    | ~ spl0_60
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(resolution,[],[f2577,f506]) ).

fof(f2577,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f982,f2564]) ).

fof(f2564,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f937,f891]) ).

fof(f891,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_137
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2597,plain,
    ( spl0_31
    | ~ spl0_36
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2596]) ).

fof(f2596,plain,
    ( $false
    | spl0_31
    | ~ spl0_36
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2585,f361]) ).

fof(f2585,plain,
    ( c2_1(a388)
    | ~ spl0_36
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(resolution,[],[f2577,f386]) ).

fof(f2595,plain,
    ( spl0_32
    | ~ spl0_38
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f2594]) ).

fof(f2594,plain,
    ( $false
    | spl0_32
    | ~ spl0_38
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(subsumption_resolution,[],[f2584,f366]) ).

fof(f2584,plain,
    ( c2_1(a395)
    | ~ spl0_38
    | ~ spl0_137
    | ~ spl0_146
    | ~ spl0_157 ),
    inference(resolution,[],[f2577,f396]) ).

fof(f396,plain,
    ( c1_1(a395)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl0_38
  <=> c1_1(a395) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2574,plain,
    ( spl0_167
    | ~ spl0_66
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2566,f936,f890,f534,f1421]) ).

fof(f2566,plain,
    ( c2_1(a373)
    | ~ spl0_66
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(resolution,[],[f2564,f536]) ).

fof(f2548,plain,
    ( spl0_124
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2547]) ).

fof(f2547,plain,
    ( $false
    | spl0_124
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2546,f851]) ).

fof(f851,plain,
    ( c2_1(a368)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f849,plain,
    ( spl0_129
  <=> c2_1(a368) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2546,plain,
    ( ~ c2_1(a368)
    | spl0_124
    | ~ spl0_127
    | ~ spl0_136 ),
    inference(subsumption_resolution,[],[f2539,f826]) ).

fof(f2539,plain,
    ( c1_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_127
    | ~ spl0_136 ),
    inference(resolution,[],[f887,f841]) ).

fof(f887,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl0_136
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f2512,plain,
    ( spl0_57
    | ~ spl0_65
    | ~ spl0_144
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2494,f941,f924,f529,f489]) ).

fof(f924,plain,
    ( spl0_144
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2494,plain,
    ( c0_1(a357)
    | ~ spl0_65
    | ~ spl0_144
    | ~ spl0_147 ),
    inference(resolution,[],[f2446,f531]) ).

fof(f2446,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_144
    | ~ spl0_147 ),
    inference(subsumption_resolution,[],[f925,f942]) ).

fof(f925,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f2510,plain,
    ( spl0_54
    | spl0_56
    | ~ spl0_134
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2509]) ).

fof(f2509,plain,
    ( $false
    | spl0_54
    | spl0_56
    | ~ spl0_134
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f2503,f486]) ).

fof(f486,plain,
    ( ~ c0_1(a382)
    | spl0_56 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl0_56
  <=> c0_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2503,plain,
    ( c0_1(a382)
    | spl0_54
    | ~ spl0_134
    | ~ spl0_138 ),
    inference(resolution,[],[f2447,f476]) ).

fof(f476,plain,
    ( ~ c2_1(a382)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl0_54
  <=> c2_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2447,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_134
    | ~ spl0_138 ),
    inference(subsumption_resolution,[],[f896,f879]) ).

fof(f2486,plain,
    ( spl0_169
    | spl0_124
    | ~ spl0_129
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2485,f957,f849,f824,f1431]) ).

fof(f2485,plain,
    ( c0_1(a368)
    | spl0_124
    | ~ spl0_129
    | ~ spl0_151 ),
    inference(subsumption_resolution,[],[f2484,f826]) ).

fof(f2484,plain,
    ( c0_1(a368)
    | c1_1(a368)
    | ~ spl0_129
    | ~ spl0_151 ),
    inference(resolution,[],[f851,f958]) ).

fof(f2474,plain,
    ( ~ spl0_162
    | ~ spl0_91
    | ~ spl0_94
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2473,f900,f674,f659,f1053]) ).

fof(f659,plain,
    ( spl0_91
  <=> c1_1(a365) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f900,plain,
    ( spl0_139
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2473,plain,
    ( ~ c0_1(a365)
    | ~ spl0_91
    | ~ spl0_94
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f2468,f661]) ).

fof(f661,plain,
    ( c1_1(a365)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f2468,plain,
    ( ~ c0_1(a365)
    | ~ c1_1(a365)
    | ~ spl0_94
    | ~ spl0_139 ),
    inference(resolution,[],[f676,f901]) ).

fof(f901,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f2434,plain,
    ( spl0_173
    | spl0_27
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2433,f977,f384,f339,f1710]) ).

fof(f977,plain,
    ( spl0_156
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2433,plain,
    ( c0_1(a388)
    | spl0_27
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2418,f341]) ).

fof(f2418,plain,
    ( c0_1(a388)
    | c3_1(a388)
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(resolution,[],[f978,f386]) ).

fof(f978,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c3_1(X1) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f2429,plain,
    ( spl0_86
    | spl0_90
    | ~ spl0_92
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2428]) ).

fof(f2428,plain,
    ( $false
    | spl0_86
    | spl0_90
    | ~ spl0_92
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2427,f636]) ).

fof(f636,plain,
    ( ~ c3_1(a399)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f634,plain,
    ( spl0_86
  <=> c3_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f2427,plain,
    ( c3_1(a399)
    | spl0_90
    | ~ spl0_92
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f2414,f656]) ).

fof(f656,plain,
    ( ~ c0_1(a399)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl0_90
  <=> c0_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f2414,plain,
    ( c0_1(a399)
    | c3_1(a399)
    | ~ spl0_92
    | ~ spl0_156 ),
    inference(resolution,[],[f978,f666]) ).

fof(f666,plain,
    ( c1_1(a399)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f664,plain,
    ( spl0_92
  <=> c1_1(a399) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2382,plain,
    ( spl0_6
    | ~ spl0_15
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f2381]) ).

fof(f2381,plain,
    ( $false
    | spl0_6
    | ~ spl0_15
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f2374,f236]) ).

fof(f236,plain,
    ( ~ c1_1(a361)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_6
  <=> c1_1(a361) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2374,plain,
    ( c1_1(a361)
    | ~ spl0_15
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(resolution,[],[f2366,f281]) ).

fof(f281,plain,
    ( c3_1(a361)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl0_15
  <=> c3_1(a361) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2366,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_147
    | ~ spl0_152 ),
    inference(subsumption_resolution,[],[f962,f942]) ).

fof(f2358,plain,
    ( spl0_124
    | spl0_169
    | ~ spl0_127
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2349,f941,f839,f1431,f824]) ).

fof(f2349,plain,
    ( c0_1(a368)
    | c1_1(a368)
    | ~ spl0_127
    | ~ spl0_147 ),
    inference(resolution,[],[f942,f841]) ).

fof(f2319,plain,
    ( spl0_89
    | spl0_84
    | spl0_88
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2318,f969,f644,f624,f649]) ).

fof(f2318,plain,
    ( c0_1(a366)
    | spl0_84
    | spl0_88
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2308,f646]) ).

fof(f646,plain,
    ( ~ c2_1(a366)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f2308,plain,
    ( c0_1(a366)
    | c2_1(a366)
    | spl0_84
    | ~ spl0_154 ),
    inference(resolution,[],[f970,f626]) ).

fof(f2289,plain,
    ( spl0_83
    | spl0_87
    | ~ spl0_96
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2288]) ).

fof(f2288,plain,
    ( $false
    | spl0_83
    | spl0_87
    | ~ spl0_96
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2287,f686]) ).

fof(f686,plain,
    ( c0_1(a376)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f684,plain,
    ( spl0_96
  <=> c0_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2287,plain,
    ( ~ c0_1(a376)
    | spl0_83
    | spl0_87
    | ~ spl0_153 ),
    inference(subsumption_resolution,[],[f2271,f641]) ).

fof(f641,plain,
    ( ~ c2_1(a376)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f639,plain,
    ( spl0_87
  <=> c2_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2271,plain,
    ( c2_1(a376)
    | ~ c0_1(a376)
    | spl0_83
    | ~ spl0_153 ),
    inference(resolution,[],[f966,f621]) ).

fof(f621,plain,
    ( ~ c1_1(a376)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f619,plain,
    ( spl0_83
  <=> c1_1(a376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f966,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f965,plain,
    ( spl0_153
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2194,plain,
    ( ~ spl0_169
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2193,f904,f849,f839,f1431]) ).

fof(f904,plain,
    ( spl0_140
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2193,plain,
    ( ~ c0_1(a368)
    | ~ spl0_127
    | ~ spl0_129
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2190,f851]) ).

fof(f2190,plain,
    ( ~ c0_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_127
    | ~ spl0_140 ),
    inference(resolution,[],[f905,f841]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f2182,plain,
    ( ~ spl0_61
    | ~ spl0_72
    | ~ spl0_66
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2162,f900,f534,f564,f509]) ).

fof(f2162,plain,
    ( ~ c0_1(a373)
    | ~ c1_1(a373)
    | ~ spl0_66
    | ~ spl0_139 ),
    inference(resolution,[],[f901,f536]) ).

fof(f2158,plain,
    ( spl0_154
    | ~ spl0_134
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2157,f953,f878,f969]) ).

fof(f953,plain,
    ( spl0_150
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f2157,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_134
    | ~ spl0_150 ),
    inference(duplicate_literal_removal,[],[f2147]) ).

fof(f2147,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_134
    | ~ spl0_150 ),
    inference(resolution,[],[f879,f954]) ).

fof(f954,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f2119,plain,
    ( ~ spl0_107
    | ~ spl0_170
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1842,f882,f759,f1577,f739]) ).

fof(f1842,plain,
    ( ~ c0_1(a363)
    | ~ c1_1(a363)
    | ~ spl0_111
    | ~ spl0_135 ),
    inference(resolution,[],[f883,f761]) ).

fof(f1885,plain,
    ( ~ spl0_108
    | ~ spl0_110
    | ~ spl0_112
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1880,f882,f764,f754,f744]) ).

fof(f744,plain,
    ( spl0_108
  <=> c1_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f754,plain,
    ( spl0_110
  <=> c2_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f764,plain,
    ( spl0_112
  <=> c0_1(a372) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1880,plain,
    ( ~ c1_1(a372)
    | ~ spl0_110
    | ~ spl0_112
    | ~ spl0_135 ),
    inference(subsumption_resolution,[],[f1879,f766]) ).

fof(f766,plain,
    ( c0_1(a372)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1879,plain,
    ( ~ c0_1(a372)
    | ~ c1_1(a372)
    | ~ spl0_110
    | ~ spl0_135 ),
    inference(resolution,[],[f756,f883]) ).

fof(f756,plain,
    ( c2_1(a372)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f1859,plain,
    ( ~ spl0_93
    | ~ spl0_97
    | ~ spl0_135
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1853,f1595,f882,f689,f669]) ).

fof(f669,plain,
    ( spl0_93
  <=> c1_1(a380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1853,plain,
    ( ~ c1_1(a380)
    | ~ spl0_97
    | ~ spl0_135
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f1839,f691]) ).

fof(f1839,plain,
    ( ~ c0_1(a380)
    | ~ c1_1(a380)
    | ~ spl0_135
    | ~ spl0_171 ),
    inference(resolution,[],[f883,f1597]) ).

fof(f1597,plain,
    ( c2_1(a380)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1595]) ).

fof(f1857,plain,
    ( spl0_166
    | spl0_55
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1809,f862,f584,f479,f1395]) ).

fof(f584,plain,
    ( spl0_76
  <=> c0_1(a353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1809,plain,
    ( c2_1(a353)
    | c3_1(a353)
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(resolution,[],[f863,f586]) ).

fof(f586,plain,
    ( c0_1(a353)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f1832,plain,
    ( ~ spl0_60
    | ~ spl0_76
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f1831]) ).

fof(f1831,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_76
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f1830,f506]) ).

fof(f1830,plain,
    ( ~ c1_1(a353)
    | ~ spl0_76
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f1825,f586]) ).

fof(f1825,plain,
    ( ~ c0_1(a353)
    | ~ c1_1(a353)
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(resolution,[],[f1396,f901]) ).

fof(f1396,plain,
    ( c3_1(a353)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1395]) ).

fof(f1769,plain,
    ( spl0_119
    | spl0_120
    | spl0_117
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1749,f953,f789,f804,f799]) ).

fof(f1749,plain,
    ( c2_1(a360)
    | c3_1(a360)
    | spl0_117
    | ~ spl0_150 ),
    inference(resolution,[],[f791,f954]) ).

fof(f1520,plain,
    ( ~ spl0_166
    | ~ spl0_60
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1518,f936,f874,f504,f1395]) ).

fof(f874,plain,
    ( spl0_133
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1518,plain,
    ( ~ c3_1(a353)
    | ~ spl0_60
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(resolution,[],[f506,f1354]) ).

fof(f1354,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f937,f875]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f1477,plain,
    ( spl0_32
    | spl0_34
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1476]) ).

fof(f1476,plain,
    ( $false
    | spl0_32
    | spl0_34
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1475,f366]) ).

fof(f1475,plain,
    ( c2_1(a395)
    | spl0_34
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1474,f376]) ).

fof(f1474,plain,
    ( c0_1(a395)
    | c2_1(a395)
    | ~ spl0_38
    | ~ spl0_134 ),
    inference(resolution,[],[f396,f879]) ).

fof(f1417,plain,
    ( ~ spl0_66
    | ~ spl0_61
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1413,f936,f874,f509,f534]) ).

fof(f1413,plain,
    ( ~ c3_1(a373)
    | ~ spl0_61
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(resolution,[],[f511,f1354]) ).

fof(f1392,plain,
    ( spl0_55
    | ~ spl0_60
    | ~ spl0_76
    | ~ spl0_130
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1391]) ).

fof(f1391,plain,
    ( $false
    | spl0_55
    | ~ spl0_60
    | ~ spl0_76
    | ~ spl0_130
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1389,f1103]) ).

fof(f1103,plain,
    ( c3_1(a353)
    | spl0_55
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(subsumption_resolution,[],[f1098,f481]) ).

fof(f1098,plain,
    ( c2_1(a353)
    | c3_1(a353)
    | ~ spl0_76
    | ~ spl0_130 ),
    inference(resolution,[],[f863,f586]) ).

fof(f1389,plain,
    ( ~ c3_1(a353)
    | ~ spl0_60
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(resolution,[],[f1354,f506]) ).

fof(f1348,plain,
    ( spl0_117
    | spl0_119
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1347,plain,
    ( $false
    | spl0_117
    | spl0_119
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1341,f801]) ).

fof(f1341,plain,
    ( c3_1(a360)
    | spl0_117
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(resolution,[],[f1329,f791]) ).

fof(f1329,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_143
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f946,f919]) ).

fof(f1308,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_128
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1307]) ).

fof(f1307,plain,
    ( $false
    | spl0_125
    | spl0_126
    | ~ spl0_128
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1306,f846]) ).

fof(f1306,plain,
    ( ~ c2_1(a358)
    | spl0_125
    | spl0_126
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1293,f836]) ).

fof(f1293,plain,
    ( c0_1(a358)
    | ~ c2_1(a358)
    | spl0_125
    | ~ spl0_145 ),
    inference(resolution,[],[f931,f831]) ).

fof(f831,plain,
    ( ~ c3_1(a358)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_125
  <=> c3_1(a358) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f931,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_145
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1301,plain,
    ( spl0_86
    | spl0_90
    | ~ spl0_92
    | ~ spl0_134
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | spl0_86
    | spl0_90
    | ~ spl0_92
    | ~ spl0_134
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1299,f1067]) ).

fof(f1067,plain,
    ( c2_1(a399)
    | spl0_90
    | ~ spl0_92
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1058,f656]) ).

fof(f1058,plain,
    ( c0_1(a399)
    | c2_1(a399)
    | ~ spl0_92
    | ~ spl0_134 ),
    inference(resolution,[],[f879,f666]) ).

fof(f1299,plain,
    ( ~ c2_1(a399)
    | spl0_86
    | spl0_90
    | ~ spl0_145 ),
    inference(subsumption_resolution,[],[f1288,f656]) ).

fof(f1288,plain,
    ( c0_1(a399)
    | ~ c2_1(a399)
    | spl0_86
    | ~ spl0_145 ),
    inference(resolution,[],[f931,f636]) ).

fof(f1281,plain,
    ( spl0_54
    | spl0_56
    | ~ spl0_68
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1280]) ).

fof(f1280,plain,
    ( $false
    | spl0_54
    | spl0_56
    | ~ spl0_68
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1279,f476]) ).

fof(f1279,plain,
    ( c2_1(a382)
    | spl0_56
    | ~ spl0_68
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1278,f486]) ).

fof(f1278,plain,
    ( c0_1(a382)
    | c2_1(a382)
    | ~ spl0_68
    | ~ spl0_132 ),
    inference(resolution,[],[f546,f871]) ).

fof(f546,plain,
    ( c3_1(a382)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl0_68
  <=> c3_1(a382) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1224,plain,
    ( ~ spl0_62
    | ~ spl0_65
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1223,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_65
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1217,f531]) ).

fof(f1217,plain,
    ( ~ c3_1(a357)
    | ~ spl0_62
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(resolution,[],[f1193,f516]) ).

fof(f1193,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_133
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f937,f875]) ).

fof(f1192,plain,
    ( spl0_163
    | ~ spl0_65
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1184,f936,f890,f529,f1109]) ).

fof(f1184,plain,
    ( c2_1(a357)
    | ~ spl0_65
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(resolution,[],[f1177,f531]) ).

fof(f1177,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f937,f891]) ).

fof(f1191,plain,
    ( spl0_53
    | ~ spl0_67
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f1190]) ).

fof(f1190,plain,
    ( $false
    | spl0_53
    | ~ spl0_67
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(subsumption_resolution,[],[f1182,f471]) ).

fof(f471,plain,
    ( ~ c2_1(a369)
    | spl0_53 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl0_53
  <=> c2_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1182,plain,
    ( c2_1(a369)
    | ~ spl0_67
    | ~ spl0_137
    | ~ spl0_146 ),
    inference(resolution,[],[f1177,f541]) ).

fof(f541,plain,
    ( c3_1(a369)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f539,plain,
    ( spl0_67
  <=> c3_1(a369) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1176,plain,
    ( spl0_84
    | spl0_89
    | ~ spl0_148
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1175]) ).

fof(f1175,plain,
    ( $false
    | spl0_84
    | spl0_89
    | ~ spl0_148
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1166,f651]) ).

fof(f1166,plain,
    ( c0_1(a366)
    | spl0_84
    | ~ spl0_148
    | ~ spl0_156 ),
    inference(resolution,[],[f1148,f626]) ).

fof(f1148,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_148
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f978,f946]) ).

fof(f1174,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_148
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f1173]) ).

fof(f1173,plain,
    ( $false
    | spl0_125
    | spl0_126
    | ~ spl0_148
    | ~ spl0_156 ),
    inference(subsumption_resolution,[],[f1165,f836]) ).

fof(f1165,plain,
    ( c0_1(a358)
    | spl0_125
    | ~ spl0_148
    | ~ spl0_156 ),
    inference(resolution,[],[f1148,f831]) ).

fof(f1131,plain,
    ( ~ spl0_163
    | ~ spl0_62
    | ~ spl0_65
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1049,f874,f529,f514,f1109]) ).

fof(f1049,plain,
    ( ~ c2_1(a357)
    | ~ spl0_62
    | ~ spl0_65
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1043,f516]) ).

fof(f1043,plain,
    ( ~ c2_1(a357)
    | ~ c1_1(a357)
    | ~ spl0_65
    | ~ spl0_133 ),
    inference(resolution,[],[f875,f531]) ).

fof(f1129,plain,
    ( spl0_103
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1128]) ).

fof(f1128,plain,
    ( $false
    | spl0_103
    | ~ spl0_109
    | ~ spl0_113
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1127,f771]) ).

fof(f771,plain,
    ( c0_1(a356)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f769,plain,
    ( spl0_113
  <=> c0_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1127,plain,
    ( ~ c0_1(a356)
    | spl0_103
    | ~ spl0_109
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f1121,f751]) ).

fof(f751,plain,
    ( c2_1(a356)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f749,plain,
    ( spl0_109
  <=> c2_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1121,plain,
    ( ~ c2_1(a356)
    | ~ c0_1(a356)
    | spl0_103
    | ~ spl0_142 ),
    inference(resolution,[],[f915,f721]) ).

fof(f721,plain,
    ( ~ c1_1(a356)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f719,plain,
    ( spl0_103
  <=> c1_1(a356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f915,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_142
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1114,plain,
    ( spl0_163
    | spl0_57
    | ~ spl0_65
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1034,f870,f529,f489,f1109]) ).

fof(f1034,plain,
    ( c0_1(a357)
    | c2_1(a357)
    | ~ spl0_65
    | ~ spl0_132 ),
    inference(resolution,[],[f871,f531]) ).

fof(f1113,plain,
    ( spl0_163
    | spl0_57
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1063,f878,f514,f489,f1109]) ).

fof(f1063,plain,
    ( c0_1(a357)
    | c2_1(a357)
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(resolution,[],[f879,f516]) ).

fof(f1107,plain,
    ( spl0_57
    | ~ spl0_62
    | ~ spl0_65
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1106]) ).

fof(f1106,plain,
    ( $false
    | spl0_57
    | ~ spl0_62
    | ~ spl0_65
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1049,f1037]) ).

fof(f1037,plain,
    ( c2_1(a357)
    | spl0_57
    | ~ spl0_65
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f1034,f491]) ).

fof(f1088,plain,
    ( ~ spl0_64
    | ~ spl0_69
    | ~ spl0_73
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1087,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_69
    | ~ spl0_73
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1086,f551]) ).

fof(f551,plain,
    ( c2_1(a410)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl0_69
  <=> c2_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1086,plain,
    ( ~ c2_1(a410)
    | ~ spl0_64
    | ~ spl0_73
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1079,f571]) ).

fof(f571,plain,
    ( c0_1(a410)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl0_73
  <=> c0_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1079,plain,
    ( ~ c0_1(a410)
    | ~ c2_1(a410)
    | ~ spl0_64
    | ~ spl0_140 ),
    inference(resolution,[],[f905,f526]) ).

fof(f526,plain,
    ( c3_1(a410)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl0_64
  <=> c3_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1051,plain,
    ( ~ spl0_95
    | ~ spl0_91
    | ~ spl0_94
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1050,f874,f674,f659,f679]) ).

fof(f1050,plain,
    ( ~ c2_1(a365)
    | ~ spl0_91
    | ~ spl0_94
    | ~ spl0_133 ),
    inference(subsumption_resolution,[],[f1039,f661]) ).

fof(f1039,plain,
    ( ~ c2_1(a365)
    | ~ c1_1(a365)
    | ~ spl0_94
    | ~ spl0_133 ),
    inference(resolution,[],[f875,f676]) ).

fof(f1028,plain,
    ( spl0_148
    | spl0_138
    | spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f194,f210,f957,f895,f945]) ).

fof(f210,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f1023,plain,
    ( spl0_148
    | spl0_153
    | spl0_157
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f210,f981,f965,f945]) ).

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

fof(f1022,plain,
    ( spl0_148
    | spl0_150
    | spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f200,f210,f936,f953,f945]) ).

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

fof(f1020,plain,
    ( spl0_158
    | spl0_145
    | spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f206,f210,f874,f930,f987]) ).

fof(f206,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c3_1(X1)
      | c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).

fof(f1014,plain,
    ( spl0_132
    | spl0_135
    | spl0_139
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f207,f210,f900,f882,f870]) ).

fof(f207,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).

fof(f1009,plain,
    ( spl0_134
    | spl0_146
    | spl0_155
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f202,f210,f973,f936,f878]) ).

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

fof(f1008,plain,
    ( spl0_132
    | spl0_140
    | spl0_123
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f210,f819,f904,f870]) ).

fof(f819,plain,
    ( spl0_123
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f1006,plain,
    ( spl0_134
    | spl0_156
    | spl0_123
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f210,f819,f977,f878]) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp4
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f1002,plain,
    ( spl0_158
    | spl0_133
    | spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f210,f779,f874,f987]) ).

fof(f779,plain,
    ( spl0_115
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp6
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

fof(f999,plain,
    ( spl0_138
    | spl0_135
    | spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f210,f699,f882,f895]) ).

fof(f699,plain,
    ( spl0_99
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp2
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f998,plain,
    ( spl0_151
    | spl0_146
    | spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f210,f704,f936,f957]) ).

fof(f704,plain,
    ( spl0_100
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp8
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f997,plain,
    ( spl0_145
    | spl0_147
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f210,f614,f941,f930]) ).

fof(f614,plain,
    ( spl0_82
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f996,plain,
    ( spl0_142
    | spl0_156
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f182,f210,f599,f977,f914]) ).

fof(f599,plain,
    ( spl0_79
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f995,plain,
    ( spl0_132
    | spl0_155
    | spl0_81
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f180,f210,f609,f973,f870]) ).

fof(f609,plain,
    ( spl0_81
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

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

fof(f994,plain,
    ( spl0_131
    | spl0_157
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f183,f210,f614,f981,f866]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f993,plain,
    ( spl0_140
    | spl0_157
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f210,f599,f981,f904]) ).

fof(f193,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp28
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f990,plain,
    ( spl0_138
    | spl0_130
    | spl0_49
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f167,f210,f449,f862,f895]) ).

fof(f449,plain,
    ( spl0_49
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp1
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f985,plain,
    ( spl0_138
    | spl0_147
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f210,f454,f941,f895]) ).

fof(f454,plain,
    ( spl0_50
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f984,plain,
    ( spl0_130
    | spl0_152
    | spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f210,f434,f961,f862]) ).

fof(f434,plain,
    ( spl0_46
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp31
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f983,plain,
    ( spl0_154
    | spl0_157
    | spl0_45
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f210,f429,f981,f969]) ).

fof(f429,plain,
    ( spl0_45
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp12
      | ~ c1_1(X0)
      | c3_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f979,plain,
    ( spl0_143
    | spl0_156
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f210,f439,f977,f918]) ).

fof(f439,plain,
    ( spl0_47
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp3
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f975,plain,
    ( spl0_138
    | spl0_155
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f210,f454,f973,f895]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f971,plain,
    ( spl0_154
    | spl0_133
    | spl0_43
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f179,f210,f419,f874,f969]) ).

fof(f419,plain,
    ( spl0_43
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

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

fof(f963,plain,
    ( spl0_137
    | spl0_152
    | spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f184,f210,f309,f961,f890]) ).

fof(f309,plain,
    ( spl0_21
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp23
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f955,plain,
    ( spl0_150
    | spl0_144
    | spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f210,f294,f924,f953]) ).

fof(f294,plain,
    ( spl0_18
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

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

fof(f947,plain,
    ( spl0_148
    | spl0_132
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f168,f210,f229,f870,f945]) ).

fof(f229,plain,
    ( spl0_5
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp7
      | ~ c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f932,plain,
    ( spl0_145
    | spl0_101
    | spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f145,f210,f599,f709,f930]) ).

fof(f709,plain,
    ( spl0_101
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp28
      | hskp19
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f928,plain,
    ( spl0_136
    | spl0_101
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f210,f594,f709,f886]) ).

fof(f594,plain,
    ( spl0_78
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp19
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f927,plain,
    ( spl0_140
    | spl0_98
    | spl0_82
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f163,f210,f614,f694,f904]) ).

fof(f694,plain,
    ( spl0_98
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp10
      | hskp29
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f922,plain,
    ( spl0_133
    | spl0_82
    | spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f165,f210,f594,f614,f874]) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp24
      | hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f921,plain,
    ( spl0_138
    | spl0_123
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f137,f210,f439,f819,f895]) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp4
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f920,plain,
    ( spl0_143
    | spl0_101
    | spl0_47
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f210,f439,f709,f918]) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp3
      | hskp19
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f898,plain,
    ( spl0_131
    | spl0_123
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f210,f299,f819,f866]) ).

fof(f299,plain,
    ( spl0_19
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f153,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp21
      | hskp4
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f897,plain,
    ( spl0_138
    | spl0_115
    | spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f210,f304,f779,f895]) ).

fof(f304,plain,
    ( spl0_20
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp5
      | hskp6
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f888,plain,
    ( spl0_136
    | spl0_44
    | spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f210,f309,f424,f886]) ).

fof(f424,plain,
    ( spl0_44
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp23
      | hskp30
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f876,plain,
    ( spl0_133
    | spl0_122
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f210,f814,f874]) ).

fof(f814,plain,
    ( spl0_122
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f872,plain,
    ( spl0_132
    | spl0_80
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f210,f604,f870]) ).

fof(f604,plain,
    ( spl0_80
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f868,plain,
    ( spl0_131
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f210,f454,f866]) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f860,plain,
    ( spl0_122
    | spl0_123
    | spl0_78 ),
    inference(avatar_split_clause,[],[f40,f594,f819,f814]) ).

fof(f40,axiom,
    ( hskp24
    | hskp4
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f855,plain,
    ( spl0_115
    | spl0_48
    | spl0_19 ),
    inference(avatar_split_clause,[],[f39,f299,f444,f779]) ).

fof(f444,plain,
    ( spl0_48
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f39,axiom,
    ( hskp21
    | hskp18
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f853,plain,
    ( spl0_123
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1,f779,f819]) ).

fof(f1,axiom,
    ( hskp6
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f852,plain,
    ( spl0_129
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f74,f814,f849]) ).

fof(f74,axiom,
    ( ~ hskp11
    | c2_1(a368) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f847,plain,
    ( spl0_128
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f80,f819,f844]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c2_1(a358) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f842,plain,
    ( spl0_127
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f75,f814,f839]) ).

fof(f75,axiom,
    ( ~ hskp11
    | c3_1(a368) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f837,plain,
    ( ~ spl0_126
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f131,f819,f834]) ).

fof(f131,axiom,
    ( ~ hskp4
    | ~ c0_1(a358) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f832,plain,
    ( ~ spl0_125
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f132,f819,f829]) ).

fof(f132,axiom,
    ( ~ hskp4
    | ~ c3_1(a358) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f827,plain,
    ( ~ spl0_124
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f116,f814,f824]) ).

fof(f116,axiom,
    ( ~ hskp11
    | ~ c1_1(a368) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f822,plain,
    ( spl0_1
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f29,f819,f210]) ).

fof(f29,axiom,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f807,plain,
    ( ~ spl0_120
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f126,f779,f804]) ).

fof(f126,axiom,
    ( ~ hskp6
    | ~ c2_1(a360) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f802,plain,
    ( ~ spl0_119
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f127,f779,f799]) ).

fof(f127,axiom,
    ( ~ hskp6
    | ~ c3_1(a360) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f792,plain,
    ( ~ spl0_117
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f125,f779,f789]) ).

fof(f125,axiom,
    ( ~ hskp6
    | ~ c1_1(a360) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f782,plain,
    ( spl0_1
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f27,f779,f210]) ).

fof(f27,axiom,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f772,plain,
    ( spl0_113
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f83,f699,f769]) ).

fof(f83,axiom,
    ( ~ hskp2
    | c0_1(a356) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f767,plain,
    ( spl0_112
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f47,f694,f764]) ).

fof(f47,axiom,
    ( ~ hskp29
    | c0_1(a372) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f762,plain,
    ( spl0_111
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f78,f704,f759]) ).

fof(f78,axiom,
    ( ~ hskp8
    | c2_1(a363) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f757,plain,
    ( spl0_110
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f49,f694,f754]) ).

fof(f49,axiom,
    ( ~ hskp29
    | c2_1(a372) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f752,plain,
    ( spl0_109
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f84,f699,f749]) ).

fof(f84,axiom,
    ( ~ hskp2
    | c2_1(a356) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f747,plain,
    ( spl0_108
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f48,f694,f744]) ).

fof(f48,axiom,
    ( ~ hskp29
    | c1_1(a372) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f742,plain,
    ( spl0_107
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f77,f704,f739]) ).

fof(f77,axiom,
    ( ~ hskp8
    | c1_1(a363) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f737,plain,
    ( ~ spl0_106
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f102,f709,f734]) ).

fof(f102,axiom,
    ( ~ hskp19
    | ~ c0_1(a387) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f732,plain,
    ( ~ spl0_105
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f104,f709,f729]) ).

fof(f104,axiom,
    ( ~ hskp19
    | ~ c2_1(a387) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f727,plain,
    ( ~ spl0_104
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f122,f704,f724]) ).

fof(f122,axiom,
    ( ~ hskp8
    | ~ c3_1(a363) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f722,plain,
    ( ~ spl0_103
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f134,f699,f719]) ).

fof(f134,axiom,
    ( ~ hskp2
    | ~ c1_1(a356) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f717,plain,
    ( ~ spl0_102
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f103,f709,f714]) ).

fof(f103,axiom,
    ( ~ hskp19
    | ~ c1_1(a387) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f692,plain,
    ( spl0_97
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f65,f604,f689]) ).

fof(f65,axiom,
    ( ~ hskp17
    | c0_1(a380) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f687,plain,
    ( spl0_96
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f68,f609,f684]) ).

fof(f68,axiom,
    ( ~ hskp15
    | c0_1(a376) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f682,plain,
    ( spl0_95
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f51,f599,f679]) ).

fof(f51,axiom,
    ( ~ hskp28
    | c2_1(a365) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f677,plain,
    ( spl0_94
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f52,f599,f674]) ).

fof(f52,axiom,
    ( ~ hskp28
    | c3_1(a365) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f672,plain,
    ( spl0_93
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f66,f604,f669]) ).

fof(f66,axiom,
    ( ~ hskp17
    | c1_1(a380) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f667,plain,
    ( spl0_92
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f57,f594,f664]) ).

fof(f57,axiom,
    ( ~ hskp24
    | c1_1(a399) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f662,plain,
    ( spl0_91
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f50,f599,f659]) ).

fof(f50,axiom,
    ( ~ hskp28
    | c1_1(a365) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f657,plain,
    ( ~ spl0_90
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f94,f594,f654]) ).

fof(f94,axiom,
    ( ~ hskp24
    | ~ c0_1(a399) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f652,plain,
    ( ~ spl0_89
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f117,f614,f649]) ).

fof(f117,axiom,
    ( ~ hskp10
    | ~ c0_1(a366) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f647,plain,
    ( ~ spl0_88
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f118,f614,f644]) ).

fof(f118,axiom,
    ( ~ hskp10
    | ~ c2_1(a366) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f642,plain,
    ( ~ spl0_87
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f111,f609,f639]) ).

fof(f111,axiom,
    ( ~ hskp15
    | ~ c2_1(a376) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f637,plain,
    ( ~ spl0_86
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f95,f594,f634]) ).

fof(f95,axiom,
    ( ~ hskp24
    | ~ c3_1(a399) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f632,plain,
    ( ~ spl0_85
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f107,f604,f629]) ).

fof(f107,axiom,
    ( ~ hskp17
    | ~ c3_1(a380) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f627,plain,
    ( ~ spl0_84
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f119,f614,f624]) ).

fof(f119,axiom,
    ( ~ hskp10
    | ~ c3_1(a366) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f622,plain,
    ( ~ spl0_83
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f110,f609,f619]) ).

fof(f110,axiom,
    ( ~ hskp15
    | ~ c1_1(a376) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f592,plain,
    ( spl0_77
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f85,f449,f589]) ).

fof(f85,axiom,
    ( ~ hskp1
    | c0_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f587,plain,
    ( spl0_76
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f87,f454,f584]) ).

fof(f87,axiom,
    ( ~ hskp0
    | c0_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f577,plain,
    ( spl0_74
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f70,f419,f574]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c0_1(a370) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f572,plain,
    ( spl0_73
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f41,f434,f569]) ).

fof(f41,axiom,
    ( ~ hskp31
    | c0_1(a410) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f567,plain,
    ( spl0_72
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f44,f424,f564]) ).

fof(f44,axiom,
    ( ~ hskp30
    | c0_1(a373) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f562,plain,
    ( spl0_71
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f71,f419,f559]) ).

fof(f71,axiom,
    ( ~ hskp13
    | c2_1(a370) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f552,plain,
    ( spl0_69
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f42,f434,f549]) ).

fof(f42,axiom,
    ( ~ hskp31
    | c2_1(a410) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f547,plain,
    ( spl0_68
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f64,f444,f544]) ).

fof(f64,axiom,
    ( ~ hskp18
    | c3_1(a382) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f542,plain,
    ( spl0_67
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f73,f429,f539]) ).

fof(f73,axiom,
    ( ~ hskp12
    | c3_1(a369) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f537,plain,
    ( spl0_66
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f46,f424,f534]) ).

fof(f46,axiom,
    ( ~ hskp30
    | c3_1(a373) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f532,plain,
    ( spl0_65
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f82,f439,f529]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c3_1(a357) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f527,plain,
    ( spl0_64
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f43,f434,f524]) ).

fof(f43,axiom,
    ( ~ hskp31
    | c3_1(a410) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f522,plain,
    ( spl0_63
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f86,f449,f519]) ).

fof(f86,axiom,
    ( ~ hskp1
    | c3_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f517,plain,
    ( spl0_62
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f81,f439,f514]) ).

fof(f81,axiom,
    ( ~ hskp3
    | c1_1(a357) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f512,plain,
    ( spl0_61
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f45,f424,f509]) ).

fof(f45,axiom,
    ( ~ hskp30
    | c1_1(a373) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f507,plain,
    ( spl0_60
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f88,f454,f504]) ).

fof(f88,axiom,
    ( ~ hskp0
    | c1_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f492,plain,
    ( ~ spl0_57
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f133,f439,f489]) ).

fof(f133,axiom,
    ( ~ hskp3
    | ~ c0_1(a357) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f487,plain,
    ( ~ spl0_56
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f105,f444,f484]) ).

fof(f105,axiom,
    ( ~ hskp18
    | ~ c0_1(a382) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f482,plain,
    ( ~ spl0_55
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f136,f454,f479]) ).

fof(f136,axiom,
    ( ~ hskp0
    | ~ c2_1(a353) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f477,plain,
    ( ~ spl0_54
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f106,f444,f474]) ).

fof(f106,axiom,
    ( ~ hskp18
    | ~ c2_1(a382) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f472,plain,
    ( ~ spl0_53
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f115,f429,f469]) ).

fof(f115,axiom,
    ( ~ hskp12
    | ~ c2_1(a369) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f467,plain,
    ( ~ spl0_52
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f114,f419,f464]) ).

fof(f114,axiom,
    ( ~ hskp13
    | ~ c3_1(a370) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f462,plain,
    ( ~ spl0_51
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f135,f449,f459]) ).

fof(f135,axiom,
    ( ~ hskp1
    | ~ c1_1(a355) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f402,plain,
    ( spl0_39
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f59,f309,f399]) ).

fof(f59,axiom,
    ( ~ hskp23
    | c3_1(a398) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f397,plain,
    ( spl0_38
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f62,f299,f394]) ).

fof(f62,axiom,
    ( ~ hskp21
    | c1_1(a395) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f392,plain,
    ( spl0_37
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f58,f309,f389]) ).

fof(f58,axiom,
    ( ~ hskp23
    | c1_1(a398) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f387,plain,
    ( spl0_36
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f63,f294,f384]) ).

fof(f63,axiom,
    ( ~ hskp20
    | c1_1(a388) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f377,plain,
    ( ~ spl0_34
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f98,f299,f374]) ).

fof(f98,axiom,
    ( ~ hskp21
    | ~ c0_1(a395) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f372,plain,
    ( ~ spl0_33
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f128,f304,f369]) ).

fof(f128,axiom,
    ( ~ hskp5
    | ~ c0_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f367,plain,
    ( ~ spl0_32
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f99,f299,f364]) ).

fof(f99,axiom,
    ( ~ hskp21
    | ~ c2_1(a395) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f362,plain,
    ( ~ spl0_31
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f100,f294,f359]) ).

fof(f100,axiom,
    ( ~ hskp20
    | ~ c2_1(a388) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f357,plain,
    ( ~ spl0_30
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f96,f309,f354]) ).

fof(f96,axiom,
    ( ~ hskp23
    | ~ c2_1(a398) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f347,plain,
    ( ~ spl0_28
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f130,f304,f344]) ).

fof(f130,axiom,
    ( ~ hskp5
    | ~ c3_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f342,plain,
    ( ~ spl0_27
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f101,f294,f339]) ).

fof(f101,axiom,
    ( ~ hskp20
    | ~ c3_1(a388) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f337,plain,
    ( ~ spl0_26
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f129,f304,f334]) ).

fof(f129,axiom,
    ( ~ hskp5
    | ~ c1_1(a359) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f282,plain,
    ( spl0_15
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f79,f229,f279]) ).

fof(f79,axiom,
    ( ~ hskp7
    | c3_1(a361) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f237,plain,
    ( ~ spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f123,f229,f234]) ).

fof(f123,axiom,
    ( ~ hskp7
    | ~ c1_1(a361) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.29  % Problem    : SYN504-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.31  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.55  % Computer : n032.cluster.edu
% 0.12/0.55  % Model    : x86_64 x86_64
% 0.12/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.55  % Memory   : 8042.1875MB
% 0.12/0.55  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.55  % CPULimit   : 300
% 0.12/0.55  % WCLimit    : 300
% 0.12/0.55  % DateTime   : Fri May  3 17:33:53 EDT 2024
% 0.12/0.55  % CPUTime    : 
% 0.12/0.56  % (3908)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.57  % (3909)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.57  % (3911)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)
% 0.12/0.57  Detected minimum model sizes of [1]
% 0.12/0.57  Detected maximum model sizes of [32]
% 0.12/0.57  TRYING [1]
% 0.12/0.57  % (3912)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.57  TRYING [2]
% 0.12/0.57  % (3910)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.58  TRYING [3]
% 0.12/0.58  % (3915)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)
% 0.12/0.58  % (3914)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.58  % (3913)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.58  Detected minimum model sizes of [1]
% 0.12/0.58  Detected maximum model sizes of [32]
% 0.12/0.58  TRYING [1]
% 0.12/0.58  Detected minimum model sizes of [1]
% 0.12/0.58  Detected maximum model sizes of [32]
% 0.12/0.58  TRYING [2]
% 0.12/0.58  TRYING [1]
% 0.12/0.58  Detected minimum model sizes of [1]
% 0.12/0.58  Detected maximum model sizes of [32]
% 0.12/0.58  TRYING [1]
% 0.12/0.58  TRYING [2]
% 0.12/0.58  TRYING [3]
% 0.12/0.58  TRYING [2]
% 0.12/0.58  TRYING [3]
% 0.12/0.58  TRYING [3]
% 0.12/0.59  TRYING [4]
% 0.12/0.59  TRYING [4]
% 0.29/0.59  TRYING [4]
% 0.29/0.59  TRYING [4]
% 0.29/0.60  TRYING [5]
% 0.29/0.60  TRYING [5]
% 0.29/0.60  TRYING [5]
% 0.38/0.60  TRYING [5]
% 0.38/0.61  % (3914)First to succeed.
% 0.38/0.62  % (3914)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3908"
% 0.38/0.62  % (3911)Also succeeded, but the first one will report.
% 0.38/0.62  % (3914)Refutation found. Thanks to Tanya!
% 0.38/0.62  % SZS status Unsatisfiable for theBenchmark
% 0.38/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.62  % (3914)------------------------------
% 0.38/0.62  % (3914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.62  % (3914)Termination reason: Refutation
% 0.38/0.62  
% 0.38/0.62  % (3914)Memory used [KB]: 1832
% 0.38/0.62  % (3914)Time elapsed: 0.040 s
% 0.38/0.62  % (3914)Instructions burned: 80 (million)
% 0.38/0.62  % (3908)Success in time 0.041 s
%------------------------------------------------------------------------------