TSTP Solution File: SYN507-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN507-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.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 : Wed Aug 31 19:38:37 EDT 2022

% Result   : Unsatisfiable 1.57s 0.62s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  311
% Syntax   : Number of formulae    :  751 (   1 unt;   0 def)
%            Number of atoms       : 2437 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2889 (1203   ~;1519   |;   0   &)
%                                         ( 167 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  202 ( 201 usr; 198 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  151 ( 151   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2685,plain,
    $false,
    inference(avatar_sat_refutation,[],[f214,f240,f249,f273,f298,f307,f316,f321,f329,f333,f341,f354,f355,f364,f369,f392,f401,f410,f415,f425,f434,f439,f447,f452,f453,f458,f463,f468,f473,f478,f482,f486,f487,f497,f501,f506,f510,f515,f520,f525,f529,f534,f543,f548,f553,f558,f567,f576,f580,f587,f592,f593,f598,f603,f611,f616,f621,f622,f624,f628,f633,f634,f640,f645,f647,f652,f662,f668,f672,f677,f679,f684,f689,f696,f707,f712,f714,f719,f724,f725,f726,f727,f728,f729,f730,f735,f741,f746,f750,f751,f756,f761,f767,f769,f770,f775,f780,f785,f786,f787,f797,f802,f807,f812,f817,f819,f824,f826,f831,f833,f834,f835,f836,f841,f850,f863,f869,f874,f879,f884,f889,f890,f895,f900,f902,f907,f911,f912,f917,f919,f924,f925,f936,f941,f946,f951,f952,f957,f958,f959,f961,f967,f973,f978,f987,f992,f1002,f1021,f1030,f1057,f1062,f1073,f1081,f1082,f1084,f1085,f1096,f1102,f1109,f1125,f1130,f1149,f1161,f1174,f1196,f1244,f1266,f1298,f1299,f1301,f1317,f1319,f1320,f1329,f1339,f1369,f1370,f1409,f1452,f1453,f1454,f1477,f1479,f1480,f1490,f1492,f1499,f1541,f1542,f1548,f1555,f1585,f1627,f1652,f1653,f1672,f1753,f1755,f1757,f1769,f1816,f1914,f1938,f1950,f2008,f2078,f2167,f2171,f2173,f2260,f2280,f2281,f2309,f2311,f2312,f2314,f2317,f2319,f2368,f2373,f2374,f2396,f2397,f2444,f2467,f2468,f2469,f2470,f2496,f2497,f2498,f2499,f2519,f2522,f2549,f2550,f2551,f2571,f2591,f2593,f2597,f2613,f2647,f2648,f2680,f2682,f2684]) ).

fof(f2684,plain,
    ( spl0_159
    | spl0_116
    | ~ spl0_80
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2625,f665,f560,f753,f1027]) ).

fof(f1027,plain,
    ( spl0_159
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f753,plain,
    ( spl0_116
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f560,plain,
    ( spl0_80
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f665,plain,
    ( spl0_101
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2625,plain,
    ( c1_1(a598)
    | c2_1(a598)
    | ~ spl0_80
    | ~ spl0_101 ),
    inference(resolution,[],[f561,f667]) ).

fof(f667,plain,
    ( c0_1(a598)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f561,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f2682,plain,
    ( ~ spl0_101
    | ~ spl0_159
    | ~ spl0_78
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2673,f748,f550,f1027,f665]) ).

fof(f550,plain,
    ( spl0_78
  <=> c3_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f748,plain,
    ( spl0_115
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2673,plain,
    ( ~ c2_1(a598)
    | ~ c0_1(a598)
    | ~ spl0_78
    | ~ spl0_115 ),
    inference(resolution,[],[f749,f552]) ).

fof(f552,plain,
    ( c3_1(a598)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f749,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f2680,plain,
    ( ~ spl0_173
    | ~ spl0_132
    | ~ spl0_115
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2666,f876,f748,f847,f1366]) ).

fof(f1366,plain,
    ( spl0_173
  <=> c0_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f847,plain,
    ( spl0_132
  <=> c2_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f876,plain,
    ( spl0_137
  <=> c3_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f2666,plain,
    ( ~ c2_1(a612)
    | ~ c0_1(a612)
    | ~ spl0_115
    | ~ spl0_137 ),
    inference(resolution,[],[f749,f878]) ).

fof(f878,plain,
    ( c3_1(a612)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f2648,plain,
    ( ~ spl0_144
    | ~ spl0_178
    | ~ spl0_81
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2631,f709,f564,f1483,f921]) ).

fof(f921,plain,
    ( spl0_144
  <=> c3_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1483,plain,
    ( spl0_178
  <=> c2_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f564,plain,
    ( spl0_81
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f709,plain,
    ( spl0_109
  <=> c1_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f2631,plain,
    ( ~ c2_1(a611)
    | ~ c3_1(a611)
    | ~ spl0_81
    | ~ spl0_109 ),
    inference(resolution,[],[f565,f711]) ).

fof(f711,plain,
    ( c1_1(a611)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f565,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f2647,plain,
    ( ~ spl0_132
    | ~ spl0_137
    | ~ spl0_81
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2630,f704,f564,f876,f847]) ).

fof(f704,plain,
    ( spl0_108
  <=> c1_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2630,plain,
    ( ~ c3_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_81
    | ~ spl0_108 ),
    inference(resolution,[],[f565,f706]) ).

fof(f706,plain,
    ( c1_1(a612)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f2613,plain,
    ( ~ spl0_146
    | spl0_100
    | ~ spl0_4
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2603,f1171,f212,f659,f933]) ).

fof(f933,plain,
    ( spl0_146
  <=> c2_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f659,plain,
    ( spl0_100
  <=> c0_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f212,plain,
    ( spl0_4
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1171,plain,
    ( spl0_169
  <=> c3_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f2603,plain,
    ( c0_1(a617)
    | ~ c2_1(a617)
    | ~ spl0_4
    | ~ spl0_169 ),
    inference(resolution,[],[f213,f1173]) ).

fof(f1173,plain,
    ( c3_1(a617)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1171]) ).

fof(f213,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f2597,plain,
    ( spl0_166
    | spl0_57
    | spl0_37
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2388,f570,f357,f449,f1151]) ).

fof(f1151,plain,
    ( spl0_166
  <=> c0_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f449,plain,
    ( spl0_57
  <=> c2_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f357,plain,
    ( spl0_37
  <=> c3_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f570,plain,
    ( spl0_82
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f2388,plain,
    ( c2_1(a606)
    | c0_1(a606)
    | spl0_37
    | ~ spl0_82 ),
    inference(resolution,[],[f571,f359]) ).

fof(f359,plain,
    ( ~ c3_1(a606)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f571,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f2593,plain,
    ( ~ spl0_173
    | ~ spl0_132
    | ~ spl0_102
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2575,f704,f670,f847,f1366]) ).

fof(f670,plain,
    ( spl0_102
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2575,plain,
    ( ~ c2_1(a612)
    | ~ c0_1(a612)
    | ~ spl0_102
    | ~ spl0_108 ),
    inference(resolution,[],[f671,f706]) ).

fof(f671,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f2591,plain,
    ( ~ spl0_140
    | ~ spl0_12
    | ~ spl0_102
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2577,f886,f670,f246,f892]) ).

fof(f892,plain,
    ( spl0_140
  <=> c0_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f246,plain,
    ( spl0_12
  <=> c2_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f886,plain,
    ( spl0_139
  <=> c1_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2577,plain,
    ( ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_102
    | ~ spl0_139 ),
    inference(resolution,[],[f671,f888]) ).

fof(f888,plain,
    ( c1_1(a583)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f2571,plain,
    ( spl0_17
    | spl0_71
    | ~ spl0_94
    | spl0_165 ),
    inference(avatar_split_clause,[],[f2559,f1121,f626,f517,f270]) ).

fof(f270,plain,
    ( spl0_17
  <=> c0_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f517,plain,
    ( spl0_71
  <=> c2_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f626,plain,
    ( spl0_94
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1121,plain,
    ( spl0_165
  <=> c1_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2559,plain,
    ( c2_1(a610)
    | c0_1(a610)
    | ~ spl0_94
    | spl0_165 ),
    inference(resolution,[],[f627,f1122]) ).

fof(f1122,plain,
    ( ~ c1_1(a610)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f627,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f2551,plain,
    ( spl0_92
    | ~ spl0_43
    | ~ spl0_90
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2535,f821,f605,f385,f613]) ).

fof(f613,plain,
    ( spl0_92
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f385,plain,
    ( spl0_43
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f605,plain,
    ( spl0_90
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f821,plain,
    ( spl0_128
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f2535,plain,
    ( ~ c2_1(a599)
    | c1_1(a599)
    | ~ spl0_90
    | ~ spl0_128 ),
    inference(resolution,[],[f606,f823]) ).

fof(f823,plain,
    ( c3_1(a599)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f606,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f2550,plain,
    ( ~ spl0_159
    | spl0_116
    | ~ spl0_78
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2536,f605,f550,f753,f1027]) ).

fof(f2536,plain,
    ( c1_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_78
    | ~ spl0_90 ),
    inference(resolution,[],[f606,f552]) ).

fof(f2549,plain,
    ( ~ spl0_121
    | spl0_138
    | ~ spl0_90
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f2542,f1158,f605,f881,f782]) ).

fof(f782,plain,
    ( spl0_121
  <=> c2_1(a587) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f881,plain,
    ( spl0_138
  <=> c1_1(a587) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1158,plain,
    ( spl0_167
  <=> c3_1(a587) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f2542,plain,
    ( c1_1(a587)
    | ~ c2_1(a587)
    | ~ spl0_90
    | ~ spl0_167 ),
    inference(resolution,[],[f606,f1160]) ).

fof(f1160,plain,
    ( c3_1(a587)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f2522,plain,
    ( spl0_136
    | spl0_76
    | spl0_77
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2515,f590,f545,f540,f871]) ).

fof(f871,plain,
    ( spl0_136
  <=> c3_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f540,plain,
    ( spl0_76
  <=> c2_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f545,plain,
    ( spl0_77
  <=> c1_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f590,plain,
    ( spl0_87
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2515,plain,
    ( c2_1(a623)
    | c3_1(a623)
    | spl0_77
    | ~ spl0_87 ),
    inference(resolution,[],[f591,f547]) ).

fof(f547,plain,
    ( ~ c1_1(a623)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f591,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f2519,plain,
    ( spl0_182
    | spl0_118
    | ~ spl0_87
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2508,f738,f590,f764,f1750]) ).

fof(f1750,plain,
    ( spl0_182
  <=> c2_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f764,plain,
    ( spl0_118
  <=> c3_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f738,plain,
    ( spl0_113
  <=> c1_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f2508,plain,
    ( c3_1(a603)
    | c2_1(a603)
    | ~ spl0_87
    | spl0_113 ),
    inference(resolution,[],[f591,f740]) ).

fof(f740,plain,
    ( ~ c1_1(a603)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f2499,plain,
    ( spl0_126
    | spl0_119
    | ~ spl0_86
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2477,f828,f585,f772,f809]) ).

fof(f809,plain,
    ( spl0_126
  <=> c0_1(a636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f772,plain,
    ( spl0_119
  <=> c1_1(a636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f585,plain,
    ( spl0_86
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f828,plain,
    ( spl0_129
  <=> c3_1(a636) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f2477,plain,
    ( c1_1(a636)
    | c0_1(a636)
    | ~ spl0_86
    | ~ spl0_129 ),
    inference(resolution,[],[f586,f830]) ).

fof(f830,plain,
    ( c3_1(a636)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f586,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f2498,plain,
    ( spl0_143
    | spl0_24
    | ~ spl0_86
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2493,f1048,f585,f300,f914]) ).

fof(f914,plain,
    ( spl0_143
  <=> c1_1(a601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f300,plain,
    ( spl0_24
  <=> c0_1(a601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1048,plain,
    ( spl0_161
  <=> c3_1(a601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2493,plain,
    ( c0_1(a601)
    | c1_1(a601)
    | ~ spl0_86
    | ~ spl0_161 ),
    inference(resolution,[],[f586,f1050]) ).

fof(f1050,plain,
    ( c3_1(a601)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f2497,plain,
    ( spl0_160
    | spl0_60
    | ~ spl0_86
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2481,f630,f585,f465,f1032]) ).

fof(f1032,plain,
    ( spl0_160
  <=> c0_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f465,plain,
    ( spl0_60
  <=> c1_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f630,plain,
    ( spl0_95
  <=> c3_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f2481,plain,
    ( c1_1(a607)
    | c0_1(a607)
    | ~ spl0_86
    | ~ spl0_95 ),
    inference(resolution,[],[f586,f632]) ).

fof(f632,plain,
    ( c3_1(a607)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f2496,plain,
    ( spl0_17
    | spl0_165
    | ~ spl0_86
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2480,f838,f585,f1121,f270]) ).

fof(f838,plain,
    ( spl0_130
  <=> c3_1(a610) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f2480,plain,
    ( c1_1(a610)
    | c0_1(a610)
    | ~ spl0_86
    | ~ spl0_130 ),
    inference(resolution,[],[f586,f840]) ).

fof(f840,plain,
    ( c3_1(a610)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f2470,plain,
    ( spl0_105
    | ~ spl0_46
    | ~ spl0_85
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2460,f1193,f582,f398,f686]) ).

fof(f686,plain,
    ( spl0_105
  <=> c0_1(a590) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f398,plain,
    ( spl0_46
  <=> c2_1(a590) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f582,plain,
    ( spl0_85
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1193,plain,
    ( spl0_170
  <=> c1_1(a590) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2460,plain,
    ( ~ c2_1(a590)
    | c0_1(a590)
    | ~ spl0_85
    | ~ spl0_170 ),
    inference(resolution,[],[f583,f1195]) ).

fof(f1195,plain,
    ( c1_1(a590)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f583,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f2469,plain,
    ( spl0_110
    | ~ spl0_52
    | ~ spl0_85
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2463,f866,f582,f427,f716]) ).

fof(f716,plain,
    ( spl0_110
  <=> c0_1(a585) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f427,plain,
    ( spl0_52
  <=> c2_1(a585) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f866,plain,
    ( spl0_135
  <=> c1_1(a585) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2463,plain,
    ( ~ c2_1(a585)
    | c0_1(a585)
    | ~ spl0_85
    | ~ spl0_135 ),
    inference(resolution,[],[f583,f868]) ).

fof(f868,plain,
    ( c1_1(a585)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f2468,plain,
    ( ~ spl0_162
    | spl0_150
    | ~ spl0_85
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2457,f799,f582,f954,f1070]) ).

fof(f1070,plain,
    ( spl0_162
  <=> c2_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f954,plain,
    ( spl0_150
  <=> c0_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f799,plain,
    ( spl0_124
  <=> c1_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2457,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_85
    | ~ spl0_124 ),
    inference(resolution,[],[f583,f801]) ).

fof(f801,plain,
    ( c1_1(a604)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f2467,plain,
    ( ~ spl0_96
    | spl0_79
    | ~ spl0_85
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2459,f1106,f582,f555,f637]) ).

fof(f637,plain,
    ( spl0_96
  <=> c2_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f555,plain,
    ( spl0_79
  <=> c0_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1106,plain,
    ( spl0_164
  <=> c1_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2459,plain,
    ( c0_1(a592)
    | ~ c2_1(a592)
    | ~ spl0_85
    | ~ spl0_164 ),
    inference(resolution,[],[f583,f1108]) ).

fof(f1108,plain,
    ( c1_1(a592)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f2444,plain,
    ( ~ spl0_155
    | spl0_149
    | ~ spl0_39
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2429,f574,f366,f948,f989]) ).

fof(f989,plain,
    ( spl0_155
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f948,plain,
    ( spl0_149
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f366,plain,
    ( spl0_39
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f574,plain,
    ( spl0_83
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2429,plain,
    ( c3_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_39
    | ~ spl0_83 ),
    inference(resolution,[],[f575,f368]) ).

fof(f368,plain,
    ( c2_1(a651)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f575,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f2397,plain,
    ( spl0_97
    | spl0_171
    | spl0_62
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2394,f570,f475,f1269,f642]) ).

fof(f642,plain,
    ( spl0_97
  <=> c0_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1269,plain,
    ( spl0_171
  <=> c2_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f475,plain,
    ( spl0_62
  <=> c3_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f2394,plain,
    ( c2_1(a595)
    | c0_1(a595)
    | spl0_62
    | ~ spl0_82 ),
    inference(resolution,[],[f571,f477]) ).

fof(f477,plain,
    ( ~ c3_1(a595)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f2396,plain,
    ( spl0_24
    | spl0_104
    | ~ spl0_82
    | spl0_161 ),
    inference(avatar_split_clause,[],[f2393,f1048,f570,f681,f300]) ).

fof(f681,plain,
    ( spl0_104
  <=> c2_1(a601) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2393,plain,
    ( c2_1(a601)
    | c0_1(a601)
    | ~ spl0_82
    | spl0_161 ),
    inference(resolution,[],[f571,f1049]) ).

fof(f1049,plain,
    ( ~ c3_1(a601)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f2374,plain,
    ( spl0_57
    | ~ spl0_166
    | ~ spl0_64
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2334,f970,f484,f1151,f449]) ).

fof(f484,plain,
    ( spl0_64
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f970,plain,
    ( spl0_152
  <=> c1_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f2334,plain,
    ( ~ c0_1(a606)
    | c2_1(a606)
    | ~ spl0_64
    | ~ spl0_152 ),
    inference(resolution,[],[f972,f485]) ).

fof(f485,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f972,plain,
    ( c1_1(a606)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f2373,plain,
    ( spl0_141
    | ~ spl0_160
    | ~ spl0_23
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2191,f630,f296,f1032,f897]) ).

fof(f897,plain,
    ( spl0_141
  <=> c2_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f296,plain,
    ( spl0_23
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2191,plain,
    ( ~ c0_1(a607)
    | c2_1(a607)
    | ~ spl0_23
    | ~ spl0_95 ),
    inference(resolution,[],[f632,f297]) ).

fof(f297,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f2368,plain,
    ( spl0_113
    | spl0_118
    | ~ spl0_31
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2354,f1750,f331,f764,f738]) ).

fof(f331,plain,
    ( spl0_31
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2354,plain,
    ( c3_1(a603)
    | c1_1(a603)
    | ~ spl0_31
    | ~ spl0_182 ),
    inference(resolution,[],[f332,f1752]) ).

fof(f1752,plain,
    ( c2_1(a603)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1750]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f2319,plain,
    ( spl0_168
    | spl0_76
    | ~ spl0_82
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2225,f871,f570,f540,f1165]) ).

fof(f1165,plain,
    ( spl0_168
  <=> c0_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2225,plain,
    ( c2_1(a623)
    | c0_1(a623)
    | ~ spl0_82
    | spl0_136 ),
    inference(resolution,[],[f873,f571]) ).

fof(f873,plain,
    ( ~ c3_1(a623)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f2317,plain,
    ( spl0_79
    | spl0_164
    | ~ spl0_2
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2133,f637,f206,f1106,f555]) ).

fof(f206,plain,
    ( spl0_2
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2133,plain,
    ( c1_1(a592)
    | c0_1(a592)
    | ~ spl0_2
    | ~ spl0_96 ),
    inference(resolution,[],[f639,f207]) ).

fof(f207,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f639,plain,
    ( c2_1(a592)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f2314,plain,
    ( spl0_103
    | spl0_175
    | ~ spl0_84
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2304,f904,f578,f1400,f674]) ).

fof(f674,plain,
    ( spl0_103
  <=> c2_1(a588) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1400,plain,
    ( spl0_175
  <=> c3_1(a588) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f578,plain,
    ( spl0_84
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f904,plain,
    ( spl0_142
  <=> c0_1(a588) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f2304,plain,
    ( c3_1(a588)
    | c2_1(a588)
    | ~ spl0_84
    | ~ spl0_142 ),
    inference(resolution,[],[f579,f906]) ).

fof(f906,plain,
    ( c0_1(a588)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f579,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f2312,plain,
    ( spl0_76
    | spl0_136
    | ~ spl0_84
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2308,f1165,f578,f871,f540]) ).

fof(f2308,plain,
    ( c3_1(a623)
    | c2_1(a623)
    | ~ spl0_84
    | ~ spl0_168 ),
    inference(resolution,[],[f579,f1167]) ).

fof(f1167,plain,
    ( c0_1(a623)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f2311,plain,
    ( spl0_158
    | spl0_148
    | ~ spl0_59
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2295,f578,f460,f943,f1018]) ).

fof(f1018,plain,
    ( spl0_158
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f943,plain,
    ( spl0_148
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f460,plain,
    ( spl0_59
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f2295,plain,
    ( c3_1(a648)
    | c2_1(a648)
    | ~ spl0_59
    | ~ spl0_84 ),
    inference(resolution,[],[f579,f462]) ).

fof(f462,plain,
    ( c0_1(a648)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f2309,plain,
    ( spl0_127
    | spl0_147
    | ~ spl0_84
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2297,f743,f578,f938,f814]) ).

fof(f814,plain,
    ( spl0_127
  <=> c3_1(a629) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f938,plain,
    ( spl0_147
  <=> c2_1(a629) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f743,plain,
    ( spl0_114
  <=> c0_1(a629) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2297,plain,
    ( c2_1(a629)
    | c3_1(a629)
    | ~ spl0_84
    | ~ spl0_114 ),
    inference(resolution,[],[f579,f745]) ).

fof(f745,plain,
    ( c0_1(a629)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f2281,plain,
    ( spl0_54
    | ~ spl0_142
    | ~ spl0_56
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2278,f1400,f445,f904,f436]) ).

fof(f436,plain,
    ( spl0_54
  <=> c1_1(a588) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f445,plain,
    ( spl0_56
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2278,plain,
    ( ~ c0_1(a588)
    | c1_1(a588)
    | ~ spl0_56
    | ~ spl0_175 ),
    inference(resolution,[],[f1402,f446]) ).

fof(f446,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f1402,plain,
    ( c3_1(a588)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f2280,plain,
    ( spl0_103
    | ~ spl0_142
    | ~ spl0_23
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2279,f1400,f296,f904,f674]) ).

fof(f2279,plain,
    ( ~ c0_1(a588)
    | c2_1(a588)
    | ~ spl0_23
    | ~ spl0_175 ),
    inference(resolution,[],[f1402,f297]) ).

fof(f2260,plain,
    ( spl0_49
    | spl0_97
    | ~ spl0_2
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2137,f1269,f206,f642,f412]) ).

fof(f412,plain,
    ( spl0_49
  <=> c1_1(a595) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2137,plain,
    ( c0_1(a595)
    | c1_1(a595)
    | ~ spl0_2
    | ~ spl0_171 ),
    inference(resolution,[],[f1271,f207]) ).

fof(f1271,plain,
    ( c2_1(a595)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f2173,plain,
    ( spl0_100
    | spl0_111
    | ~ spl0_2
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1853,f933,f206,f721,f659]) ).

fof(f721,plain,
    ( spl0_111
  <=> c1_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1853,plain,
    ( c1_1(a617)
    | c0_1(a617)
    | ~ spl0_2
    | ~ spl0_146 ),
    inference(resolution,[],[f935,f207]) ).

fof(f935,plain,
    ( c2_1(a617)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f2171,plain,
    ( ~ spl0_153
    | spl0_125
    | ~ spl0_83
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2152,f758,f574,f804,f975]) ).

fof(f975,plain,
    ( spl0_153
  <=> c0_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f804,plain,
    ( spl0_125
  <=> c3_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f758,plain,
    ( spl0_117
  <=> c2_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2152,plain,
    ( c3_1(a600)
    | ~ c0_1(a600)
    | ~ spl0_83
    | ~ spl0_117 ),
    inference(resolution,[],[f575,f760]) ).

fof(f760,plain,
    ( c2_1(a600)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f2167,plain,
    ( spl0_167
    | ~ spl0_98
    | ~ spl0_83
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2159,f782,f574,f649,f1158]) ).

fof(f649,plain,
    ( spl0_98
  <=> c0_1(a587) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f2159,plain,
    ( ~ c0_1(a587)
    | c3_1(a587)
    | ~ spl0_83
    | ~ spl0_121 ),
    inference(resolution,[],[f575,f784]) ).

fof(f784,plain,
    ( c2_1(a587)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f2078,plain,
    ( ~ spl0_137
    | spl0_173
    | ~ spl0_41
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2075,f704,f376,f1366,f876]) ).

fof(f376,plain,
    ( spl0_41
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2075,plain,
    ( c0_1(a612)
    | ~ c3_1(a612)
    | ~ spl0_41
    | ~ spl0_108 ),
    inference(resolution,[],[f706,f377]) ).

fof(f377,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f2008,plain,
    ( spl0_156
    | spl0_68
    | ~ spl0_30
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1986,f693,f327,f503,f999]) ).

fof(f999,plain,
    ( spl0_156
  <=> c0_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f503,plain,
    ( spl0_68
  <=> c3_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f327,plain,
    ( spl0_30
  <=> ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f693,plain,
    ( spl0_106
  <=> c1_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1986,plain,
    ( c3_1(a593)
    | c0_1(a593)
    | ~ spl0_30
    | spl0_106 ),
    inference(resolution,[],[f328,f694]) ).

fof(f694,plain,
    ( ~ c1_1(a593)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f328,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f1950,plain,
    ( spl0_17
    | spl0_71
    | ~ spl0_36
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1517,f1121,f352,f517,f270]) ).

fof(f352,plain,
    ( spl0_36
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1517,plain,
    ( c2_1(a610)
    | c0_1(a610)
    | ~ spl0_36
    | ~ spl0_165 ),
    inference(resolution,[],[f1123,f353]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1123,plain,
    ( c1_1(a610)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1938,plain,
    ( ~ spl0_140
    | ~ spl0_179
    | ~ spl0_3
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1923,f886,f209,f1545,f892]) ).

fof(f1545,plain,
    ( spl0_179
  <=> c3_1(a583) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f209,plain,
    ( spl0_3
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1923,plain,
    ( ~ c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_3
    | ~ spl0_139 ),
    inference(resolution,[],[f210,f888]) ).

fof(f210,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f1914,plain,
    ( spl0_62
    | spl0_49
    | ~ spl0_31
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1912,f1269,f331,f412,f475]) ).

fof(f1912,plain,
    ( c1_1(a595)
    | c3_1(a595)
    | ~ spl0_31
    | ~ spl0_171 ),
    inference(resolution,[],[f1271,f332]) ).

fof(f1816,plain,
    ( spl0_68
    | ~ spl0_112
    | ~ spl0_7
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1808,f693,f224,f732,f503]) ).

fof(f732,plain,
    ( spl0_112
  <=> c2_1(a593) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f224,plain,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1808,plain,
    ( ~ c2_1(a593)
    | c3_1(a593)
    | ~ spl0_7
    | ~ spl0_106 ),
    inference(resolution,[],[f695,f225]) ).

fof(f225,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f695,plain,
    ( c1_1(a593)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f1769,plain,
    ( spl0_156
    | ~ spl0_112
    | ~ spl0_4
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1502,f503,f212,f732,f999]) ).

fof(f1502,plain,
    ( ~ c2_1(a593)
    | c0_1(a593)
    | ~ spl0_4
    | ~ spl0_68 ),
    inference(resolution,[],[f505,f213]) ).

fof(f505,plain,
    ( c3_1(a593)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1757,plain,
    ( spl0_54
    | spl0_103
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1742,f904,f560,f674,f436]) ).

fof(f1742,plain,
    ( c2_1(a588)
    | c1_1(a588)
    | ~ spl0_80
    | ~ spl0_142 ),
    inference(resolution,[],[f561,f906]) ).

fof(f1755,plain,
    ( spl0_141
    | spl0_60
    | ~ spl0_80
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1736,f1032,f560,f465,f897]) ).

fof(f1736,plain,
    ( c1_1(a607)
    | c2_1(a607)
    | ~ spl0_80
    | ~ spl0_160 ),
    inference(resolution,[],[f561,f1033]) ).

fof(f1033,plain,
    ( c0_1(a607)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1753,plain,
    ( spl0_182
    | spl0_113
    | ~ spl0_72
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1737,f560,f522,f738,f1750]) ).

fof(f522,plain,
    ( spl0_72
  <=> c0_1(a603) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1737,plain,
    ( c1_1(a603)
    | c2_1(a603)
    | ~ spl0_72
    | ~ spl0_80 ),
    inference(resolution,[],[f561,f524]) ).

fof(f524,plain,
    ( c0_1(a603)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f1672,plain,
    ( spl0_125
    | ~ spl0_153
    | ~ spl0_20
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1669,f1405,f284,f975,f804]) ).

fof(f284,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1405,plain,
    ( spl0_176
  <=> c1_1(a600) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1669,plain,
    ( ~ c0_1(a600)
    | c3_1(a600)
    | ~ spl0_20
    | ~ spl0_176 ),
    inference(resolution,[],[f1407,f285]) ).

fof(f285,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f1407,plain,
    ( c1_1(a600)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f1653,plain,
    ( spl0_125
    | spl0_176
    | ~ spl0_31
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1640,f758,f331,f1405,f804]) ).

fof(f1640,plain,
    ( c1_1(a600)
    | c3_1(a600)
    | ~ spl0_31
    | ~ spl0_117 ),
    inference(resolution,[],[f332,f760]) ).

fof(f1652,plain,
    ( spl0_169
    | spl0_111
    | ~ spl0_31
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1638,f933,f331,f721,f1171]) ).

fof(f1638,plain,
    ( c1_1(a617)
    | c3_1(a617)
    | ~ spl0_31
    | ~ spl0_146 ),
    inference(resolution,[],[f332,f935]) ).

fof(f1627,plain,
    ( spl0_178
    | ~ spl0_88
    | ~ spl0_23
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1617,f921,f296,f595,f1483]) ).

fof(f595,plain,
    ( spl0_88
  <=> c0_1(a611) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1617,plain,
    ( ~ c0_1(a611)
    | c2_1(a611)
    | ~ spl0_23
    | ~ spl0_144 ),
    inference(resolution,[],[f297,f923]) ).

fof(f923,plain,
    ( c3_1(a611)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f1585,plain,
    ( spl0_110
    | ~ spl0_52
    | ~ spl0_4
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1583,f1552,f212,f427,f716]) ).

fof(f1552,plain,
    ( spl0_180
  <=> c3_1(a585) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1583,plain,
    ( ~ c2_1(a585)
    | c0_1(a585)
    | ~ spl0_4
    | ~ spl0_180 ),
    inference(resolution,[],[f1554,f213]) ).

fof(f1554,plain,
    ( c3_1(a585)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1552]) ).

fof(f1555,plain,
    ( ~ spl0_52
    | spl0_180
    | ~ spl0_7
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1535,f866,f224,f1552,f427]) ).

fof(f1535,plain,
    ( c3_1(a585)
    | ~ c2_1(a585)
    | ~ spl0_7
    | ~ spl0_135 ),
    inference(resolution,[],[f225,f868]) ).

fof(f1548,plain,
    ( ~ spl0_12
    | spl0_179
    | ~ spl0_7
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1525,f886,f224,f1545,f246]) ).

fof(f1525,plain,
    ( c3_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_7
    | ~ spl0_139 ),
    inference(resolution,[],[f225,f888]) ).

fof(f1542,plain,
    ( ~ spl0_89
    | spl0_10
    | ~ spl0_7
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1534,f494,f224,f237,f600]) ).

fof(f600,plain,
    ( spl0_89
  <=> c2_1(a586) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f237,plain,
    ( spl0_10
  <=> c3_1(a586) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f494,plain,
    ( spl0_66
  <=> c1_1(a586) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1534,plain,
    ( c3_1(a586)
    | ~ c2_1(a586)
    | ~ spl0_7
    | ~ spl0_66 ),
    inference(resolution,[],[f225,f496]) ).

fof(f496,plain,
    ( c1_1(a586)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f1541,plain,
    ( ~ spl0_96
    | spl0_61
    | ~ spl0_7
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1531,f1106,f224,f470,f637]) ).

fof(f470,plain,
    ( spl0_61
  <=> c3_1(a592) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1531,plain,
    ( c3_1(a592)
    | ~ c2_1(a592)
    | ~ spl0_7
    | ~ spl0_164 ),
    inference(resolution,[],[f225,f1108]) ).

fof(f1499,plain,
    ( spl0_123
    | spl0_151
    | ~ spl0_36
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1498,f422,f352,f964,f794]) ).

fof(f794,plain,
    ( spl0_123
  <=> c2_1(a584) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f964,plain,
    ( spl0_151
  <=> c0_1(a584) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f422,plain,
    ( spl0_51
  <=> c1_1(a584) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1498,plain,
    ( c0_1(a584)
    | c2_1(a584)
    | ~ spl0_36
    | ~ spl0_51 ),
    inference(resolution,[],[f424,f353]) ).

fof(f424,plain,
    ( c1_1(a584)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1492,plain,
    ( spl0_166
    | spl0_57
    | ~ spl0_36
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1308,f970,f352,f449,f1151]) ).

fof(f1308,plain,
    ( c2_1(a606)
    | c0_1(a606)
    | ~ spl0_36
    | ~ spl0_152 ),
    inference(resolution,[],[f353,f972]) ).

fof(f1490,plain,
    ( ~ spl0_43
    | spl0_154
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1358,f821,f212,f984,f385]) ).

fof(f984,plain,
    ( spl0_154
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1358,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_4
    | ~ spl0_128 ),
    inference(resolution,[],[f213,f823]) ).

fof(f1480,plain,
    ( ~ spl0_144
    | ~ spl0_88
    | ~ spl0_3
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1466,f709,f209,f595,f921]) ).

fof(f1466,plain,
    ( ~ c0_1(a611)
    | ~ c3_1(a611)
    | ~ spl0_3
    | ~ spl0_109 ),
    inference(resolution,[],[f210,f711]) ).

fof(f1479,plain,
    ( ~ spl0_173
    | ~ spl0_137
    | ~ spl0_3
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1465,f704,f209,f876,f1366]) ).

fof(f1465,plain,
    ( ~ c3_1(a612)
    | ~ c0_1(a612)
    | ~ spl0_3
    | ~ spl0_108 ),
    inference(resolution,[],[f210,f706]) ).

fof(f1477,plain,
    ( ~ spl0_172
    | ~ spl0_70
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1474,f318,f209,f512,f1326]) ).

fof(f1326,plain,
    ( spl0_172
  <=> c3_1(a589) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f512,plain,
    ( spl0_70
  <=> c0_1(a589) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f318,plain,
    ( spl0_28
  <=> c1_1(a589) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1474,plain,
    ( ~ c0_1(a589)
    | ~ c3_1(a589)
    | ~ spl0_3
    | ~ spl0_28 ),
    inference(resolution,[],[f210,f320]) ).

fof(f320,plain,
    ( c1_1(a589)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f1454,plain,
    ( ~ spl0_98
    | spl0_138
    | ~ spl0_56
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1450,f1158,f445,f881,f649]) ).

fof(f1450,plain,
    ( c1_1(a587)
    | ~ c0_1(a587)
    | ~ spl0_56
    | ~ spl0_167 ),
    inference(resolution,[],[f446,f1160]) ).

fof(f1453,plain,
    ( ~ spl0_154
    | spl0_92
    | ~ spl0_56
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1445,f821,f445,f613,f984]) ).

fof(f1445,plain,
    ( c1_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_56
    | ~ spl0_128 ),
    inference(resolution,[],[f446,f823]) ).

fof(f1452,plain,
    ( spl0_116
    | ~ spl0_101
    | ~ spl0_56
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1446,f550,f445,f665,f753]) ).

fof(f1446,plain,
    ( ~ c0_1(a598)
    | c1_1(a598)
    | ~ spl0_56
    | ~ spl0_78 ),
    inference(resolution,[],[f446,f552]) ).

fof(f1409,plain,
    ( spl0_118
    | spl0_113
    | ~ spl0_32
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1380,f522,f336,f738,f764]) ).

fof(f336,plain,
    ( spl0_32
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1380,plain,
    ( c1_1(a603)
    | c3_1(a603)
    | ~ spl0_32
    | ~ spl0_72 ),
    inference(resolution,[],[f337,f524]) ).

fof(f337,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f1370,plain,
    ( ~ spl0_46
    | spl0_105
    | ~ spl0_4
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1361,f455,f212,f686,f398]) ).

fof(f455,plain,
    ( spl0_58
  <=> c3_1(a590) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1361,plain,
    ( c0_1(a590)
    | ~ c2_1(a590)
    | ~ spl0_4
    | ~ spl0_58 ),
    inference(resolution,[],[f213,f457]) ).

fof(f457,plain,
    ( c3_1(a590)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f1369,plain,
    ( spl0_173
    | ~ spl0_132
    | ~ spl0_4
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1354,f876,f212,f847,f1366]) ).

fof(f1354,plain,
    ( ~ c2_1(a612)
    | c0_1(a612)
    | ~ spl0_4
    | ~ spl0_137 ),
    inference(resolution,[],[f213,f878]) ).

fof(f1339,plain,
    ( spl0_149
    | spl0_155
    | spl0_27
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1338,f327,f313,f989,f948]) ).

fof(f313,plain,
    ( spl0_27
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1338,plain,
    ( c0_1(a651)
    | c3_1(a651)
    | spl0_27
    | ~ spl0_30 ),
    inference(resolution,[],[f315,f328]) ).

fof(f315,plain,
    ( ~ c1_1(a651)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1329,plain,
    ( ~ spl0_70
    | spl0_172
    | ~ spl0_20
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1324,f318,f284,f1326,f512]) ).

fof(f1324,plain,
    ( c3_1(a589)
    | ~ c0_1(a589)
    | ~ spl0_20
    | ~ spl0_28 ),
    inference(resolution,[],[f320,f285]) ).

fof(f1320,plain,
    ( ~ spl0_156
    | spl0_112
    | ~ spl0_64
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1221,f693,f484,f732,f999]) ).

fof(f1221,plain,
    ( c2_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_64
    | ~ spl0_106 ),
    inference(resolution,[],[f485,f695]) ).

fof(f1319,plain,
    ( spl0_150
    | spl0_162
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1309,f799,f352,f1070,f954]) ).

fof(f1309,plain,
    ( c2_1(a604)
    | c0_1(a604)
    | ~ spl0_36
    | ~ spl0_124 ),
    inference(resolution,[],[f353,f801]) ).

fof(f1317,plain,
    ( spl0_112
    | spl0_156
    | ~ spl0_36
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1310,f693,f352,f999,f732]) ).

fof(f1310,plain,
    ( c0_1(a593)
    | c2_1(a593)
    | ~ spl0_36
    | ~ spl0_106 ),
    inference(resolution,[],[f353,f695]) ).

fof(f1301,plain,
    ( spl0_92
    | ~ spl0_154
    | ~ spl0_43
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1292,f527,f385,f984,f613]) ).

fof(f527,plain,
    ( spl0_73
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1292,plain,
    ( ~ c0_1(a599)
    | c1_1(a599)
    | ~ spl0_43
    | ~ spl0_73 ),
    inference(resolution,[],[f528,f387]) ).

fof(f387,plain,
    ( c2_1(a599)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f528,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1299,plain,
    ( ~ spl0_101
    | spl0_116
    | ~ spl0_73
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1293,f1027,f527,f753,f665]) ).

fof(f1293,plain,
    ( c1_1(a598)
    | ~ c0_1(a598)
    | ~ spl0_73
    | ~ spl0_159 ),
    inference(resolution,[],[f528,f1029]) ).

fof(f1029,plain,
    ( c2_1(a598)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1298,plain,
    ( ~ spl0_98
    | spl0_138
    | ~ spl0_73
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1295,f782,f527,f881,f649]) ).

fof(f1295,plain,
    ( c1_1(a587)
    | ~ c0_1(a587)
    | ~ spl0_73
    | ~ spl0_121 ),
    inference(resolution,[],[f528,f784]) ).

fof(f1266,plain,
    ( spl0_57
    | spl0_37
    | ~ spl0_69
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1256,f970,f508,f357,f449]) ).

fof(f508,plain,
    ( spl0_69
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1256,plain,
    ( c3_1(a606)
    | c2_1(a606)
    | ~ spl0_69
    | ~ spl0_152 ),
    inference(resolution,[],[f509,f972]) ).

fof(f509,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f1244,plain,
    ( spl0_112
    | ~ spl0_68
    | ~ spl0_67
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1235,f693,f499,f503,f732]) ).

fof(f499,plain,
    ( spl0_67
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1235,plain,
    ( ~ c3_1(a593)
    | c2_1(a593)
    | ~ spl0_67
    | ~ spl0_106 ),
    inference(resolution,[],[f500,f695]) ).

fof(f500,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f1196,plain,
    ( spl0_105
    | spl0_170
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1189,f398,f206,f1193,f686]) ).

fof(f1189,plain,
    ( c1_1(a590)
    | c0_1(a590)
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(resolution,[],[f207,f400]) ).

fof(f400,plain,
    ( c2_1(a590)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1174,plain,
    ( spl0_169
    | spl0_100
    | ~ spl0_30
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1169,f721,f327,f659,f1171]) ).

fof(f1169,plain,
    ( c0_1(a617)
    | c3_1(a617)
    | ~ spl0_30
    | spl0_111 ),
    inference(resolution,[],[f723,f328]) ).

fof(f723,plain,
    ( ~ c1_1(a617)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f1161,plain,
    ( spl0_167
    | spl0_138
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1156,f782,f331,f881,f1158]) ).

fof(f1156,plain,
    ( c1_1(a587)
    | c3_1(a587)
    | ~ spl0_31
    | ~ spl0_121 ),
    inference(resolution,[],[f784,f332]) ).

fof(f1149,plain,
    ( spl0_148
    | ~ spl0_59
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1138,f407,f284,f460,f943]) ).

fof(f407,plain,
    ( spl0_48
  <=> c1_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1138,plain,
    ( ~ c0_1(a648)
    | c3_1(a648)
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(resolution,[],[f285,f409]) ).

fof(f409,plain,
    ( c1_1(a648)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1130,plain,
    ( spl0_143
    | spl0_24
    | ~ spl0_2
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1129,f681,f206,f300,f914]) ).

fof(f1129,plain,
    ( c0_1(a601)
    | c1_1(a601)
    | ~ spl0_2
    | ~ spl0_104 ),
    inference(resolution,[],[f682,f207]) ).

fof(f682,plain,
    ( c2_1(a601)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f1125,plain,
    ( spl0_60
    | spl0_141
    | ~ spl0_63
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1113,f630,f480,f897,f465]) ).

fof(f480,plain,
    ( spl0_63
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1113,plain,
    ( c2_1(a607)
    | c1_1(a607)
    | ~ spl0_63
    | ~ spl0_95 ),
    inference(resolution,[],[f481,f632]) ).

fof(f481,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1109,plain,
    ( spl0_61
    | spl0_164
    | ~ spl0_31
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1103,f637,f331,f1106,f470]) ).

fof(f1103,plain,
    ( c1_1(a592)
    | c3_1(a592)
    | ~ spl0_31
    | ~ spl0_96 ),
    inference(resolution,[],[f639,f332]) ).

fof(f1102,plain,
    ( ~ spl0_68
    | spl0_156
    | ~ spl0_41
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1092,f693,f376,f999,f503]) ).

fof(f1092,plain,
    ( c0_1(a593)
    | ~ c3_1(a593)
    | ~ spl0_41
    | ~ spl0_106 ),
    inference(resolution,[],[f377,f695]) ).

fof(f1096,plain,
    ( spl0_150
    | ~ spl0_134
    | ~ spl0_41
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1091,f799,f376,f860,f954]) ).

fof(f860,plain,
    ( spl0_134
  <=> c3_1(a604) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1091,plain,
    ( ~ c3_1(a604)
    | c0_1(a604)
    | ~ spl0_41
    | ~ spl0_124 ),
    inference(resolution,[],[f377,f801]) ).

fof(f1085,plain,
    ( spl0_162
    | spl0_150
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1076,f860,f339,f954,f1070]) ).

fof(f339,plain,
    ( spl0_33
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1076,plain,
    ( c0_1(a604)
    | c2_1(a604)
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(resolution,[],[f340,f862]) ).

fof(f862,plain,
    ( c3_1(a604)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f340,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f1084,plain,
    ( spl0_141
    | spl0_160
    | ~ spl0_33
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1075,f630,f339,f1032,f897]) ).

fof(f1075,plain,
    ( c0_1(a607)
    | c2_1(a607)
    | ~ spl0_33
    | ~ spl0_95 ),
    inference(resolution,[],[f340,f632]) ).

fof(f1082,plain,
    ( spl0_24
    | spl0_104
    | ~ spl0_33
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1080,f1048,f339,f681,f300]) ).

fof(f1080,plain,
    ( c2_1(a601)
    | c0_1(a601)
    | ~ spl0_33
    | ~ spl0_161 ),
    inference(resolution,[],[f340,f1050]) ).

fof(f1081,plain,
    ( spl0_112
    | spl0_156
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1079,f503,f339,f999,f732]) ).

fof(f1079,plain,
    ( c0_1(a593)
    | c2_1(a593)
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(resolution,[],[f340,f505]) ).

fof(f1073,plain,
    ( ~ spl0_162
    | spl0_150
    | ~ spl0_4
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1068,f860,f212,f954,f1070]) ).

fof(f1068,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_4
    | ~ spl0_134 ),
    inference(resolution,[],[f862,f213]) ).

fof(f1062,plain,
    ( spl0_97
    | spl0_62
    | ~ spl0_30
    | spl0_49 ),
    inference(avatar_split_clause,[],[f1061,f412,f327,f475,f642]) ).

fof(f1061,plain,
    ( c3_1(a595)
    | c0_1(a595)
    | ~ spl0_30
    | spl0_49 ),
    inference(resolution,[],[f414,f328]) ).

fof(f414,plain,
    ( ~ c1_1(a595)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f1057,plain,
    ( spl0_27
    | spl0_149
    | ~ spl0_31
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1054,f366,f331,f948,f313]) ).

fof(f1054,plain,
    ( c3_1(a651)
    | c1_1(a651)
    | ~ spl0_31
    | ~ spl0_39 ),
    inference(resolution,[],[f332,f368]) ).

fof(f1030,plain,
    ( spl0_159
    | ~ spl0_101
    | ~ spl0_23
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1024,f550,f296,f665,f1027]) ).

fof(f1024,plain,
    ( ~ c0_1(a598)
    | c2_1(a598)
    | ~ spl0_23
    | ~ spl0_78 ),
    inference(resolution,[],[f297,f552]) ).

fof(f1021,plain,
    ( ~ spl0_158
    | spl0_148
    | ~ spl0_7
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1007,f407,f224,f943,f1018]) ).

fof(f1007,plain,
    ( c3_1(a648)
    | ~ c2_1(a648)
    | ~ spl0_7
    | ~ spl0_48 ),
    inference(resolution,[],[f225,f409]) ).

fof(f1002,plain,
    ( ~ spl0_68
    | ~ spl0_156
    | ~ spl0_3
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f996,f693,f209,f999,f503]) ).

fof(f996,plain,
    ( ~ c0_1(a593)
    | ~ c3_1(a593)
    | ~ spl0_3
    | ~ spl0_106 ),
    inference(resolution,[],[f210,f695]) ).

fof(f992,plain,
    ( spl0_27
    | spl0_155
    | ~ spl0_2
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f981,f366,f206,f989,f313]) ).

fof(f981,plain,
    ( c0_1(a651)
    | c1_1(a651)
    | ~ spl0_2
    | ~ spl0_39 ),
    inference(resolution,[],[f207,f368]) ).

fof(f987,plain,
    ( spl0_92
    | spl0_154
    | ~ spl0_2
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f982,f385,f206,f984,f613]) ).

fof(f982,plain,
    ( c0_1(a599)
    | c1_1(a599)
    | ~ spl0_2
    | ~ spl0_43 ),
    inference(resolution,[],[f207,f387]) ).

fof(f978,plain,
    ( spl0_153
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f61,f228,f975]) ).

fof(f228,plain,
    ( spl0_8
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f61,axiom,
    ( ~ hskp12
    | c0_1(a600) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f973,plain,
    ( ~ spl0_38
    | spl0_152 ),
    inference(avatar_split_clause,[],[f57,f970,f361]) ).

fof(f361,plain,
    ( spl0_38
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f57,axiom,
    ( c1_1(a606)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f967,plain,
    ( ~ spl0_50
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f124,f964,f417]) ).

fof(f417,plain,
    ( spl0_50
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f124,axiom,
    ( ~ c0_1(a584)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f961,plain,
    ( spl0_1
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f24,f344,f202]) ).

fof(f202,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f344,plain,
    ( spl0_34
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f24,axiom,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f959,plain,
    ( spl0_1
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f14,f280,f202]) ).

fof(f280,plain,
    ( spl0_19
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f14,axiom,
    ( ~ hskp17
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

fof(f958,plain,
    ( ~ spl0_1
    | spl0_53
    | spl0_83
    | spl0_80 ),
    inference(avatar_split_clause,[],[f181,f560,f574,f431,f202]) ).

fof(f431,plain,
    ( spl0_53
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c2_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | hskp1
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f957,plain,
    ( ~ spl0_150
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f102,f531,f954]) ).

fof(f531,plain,
    ( spl0_74
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f102,axiom,
    ( ~ hskp15
    | ~ c0_1(a604) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f952,plain,
    ( spl0_75
    | spl0_34
    | spl0_83
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f202,f574,f344,f536]) ).

fof(f536,plain,
    ( spl0_75
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | ~ c2_1(X0)
      | hskp7
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f951,plain,
    ( ~ spl0_26
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f83,f948,f309]) ).

fof(f309,plain,
    ( spl0_26
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f83,axiom,
    ( ~ c3_1(a651)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f946,plain,
    ( ~ spl0_148
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f84,f403,f943]) ).

fof(f403,plain,
    ( spl0_47
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f84,axiom,
    ( ~ hskp24
    | ~ c3_1(a648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f941,plain,
    ( ~ spl0_22
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f89,f938,f292]) ).

fof(f292,plain,
    ( spl0_22
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f89,axiom,
    ( ~ c2_1(a629)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f936,plain,
    ( spl0_146
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f54,f618,f933]) ).

fof(f618,plain,
    ( spl0_93
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f54,axiom,
    ( ~ hskp19
    | c2_1(a617) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f925,plain,
    ( spl0_38
    | spl0_13
    | ~ spl0_1
    | spl0_84 ),
    inference(avatar_split_clause,[],[f140,f578,f202,f251,f361]) ).

fof(f251,plain,
    ( spl0_13
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f140,axiom,
    ! [X0] :
      ( c3_1(X0)
      | ~ ndr1_0
      | hskp3
      | hskp16
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f924,plain,
    ( spl0_144
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f44,f489,f921]) ).

fof(f489,plain,
    ( spl0_65
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f44,axiom,
    ( ~ hskp27
    | c3_1(a611) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f919,plain,
    ( spl0_8
    | spl0_102
    | spl0_85
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f202,f582,f670,f228]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | hskp12
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f917,plain,
    ( ~ spl0_25
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f106,f914,f304]) ).

fof(f304,plain,
    ( spl0_25
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f106,axiom,
    ( ~ c1_1(a601)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f912,plain,
    ( ~ spl0_1
    | spl0_47
    | spl0_64
    | spl0_69 ),
    inference(avatar_split_clause,[],[f184,f508,f484,f403,f202]) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | hskp24
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f911,plain,
    ( ~ spl0_1
    | spl0_91
    | spl0_83
    | spl0_33 ),
    inference(avatar_split_clause,[],[f179,f339,f574,f608,f202]) ).

fof(f608,plain,
    ( spl0_91
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f179,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c2_1(X0)
      | hskp28
      | c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f907,plain,
    ( ~ spl0_29
    | spl0_142 ),
    inference(avatar_split_clause,[],[f74,f904,f323]) ).

fof(f323,plain,
    ( spl0_29
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f74,axiom,
    ( c0_1(a588)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f902,plain,
    ( spl0_44
    | spl0_11 ),
    inference(avatar_split_clause,[],[f1,f242,f389]) ).

fof(f389,plain,
    ( spl0_44
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f242,plain,
    ( spl0_11
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1,axiom,
    ( hskp26
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f900,plain,
    ( ~ spl0_19
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f99,f897,f280]) ).

fof(f99,axiom,
    ( ~ c2_1(a607)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f895,plain,
    ( ~ spl0_11
    | spl0_140 ),
    inference(avatar_split_clause,[],[f45,f892,f242]) ).

fof(f45,axiom,
    ( c0_1(a583)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f890,plain,
    ( ~ spl0_1
    | spl0_65
    | spl0_33
    | spl0_64 ),
    inference(avatar_split_clause,[],[f178,f484,f339,f489,f202]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | hskp27
      | c2_1(X0)
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f889,plain,
    ( ~ spl0_11
    | spl0_139 ),
    inference(avatar_split_clause,[],[f46,f886,f242]) ).

fof(f46,axiom,
    ( c1_1(a583)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f884,plain,
    ( ~ spl0_138
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f121,f251,f881]) ).

fof(f121,axiom,
    ( ~ hskp3
    | ~ c1_1(a587) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f879,plain,
    ( ~ spl0_91
    | spl0_137 ),
    inference(avatar_split_clause,[],[f41,f876,f608]) ).

fof(f41,axiom,
    ( c3_1(a612)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f874,plain,
    ( ~ spl0_75
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f93,f871,f536]) ).

fof(f93,axiom,
    ( ~ c3_1(a623)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f869,plain,
    ( spl0_135
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f79,f431,f866]) ).

fof(f79,axiom,
    ( ~ hskp1
    | c1_1(a585) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f863,plain,
    ( ~ spl0_74
    | spl0_134 ),
    inference(avatar_split_clause,[],[f59,f860,f531]) ).

fof(f59,axiom,
    ( c3_1(a604)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f850,plain,
    ( spl0_132
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f40,f608,f847]) ).

fof(f40,axiom,
    ( ~ hskp28
    | c2_1(a612) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f841,plain,
    ( spl0_130
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f55,f220,f838]) ).

fof(f220,plain,
    ( spl0_6
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f55,axiom,
    ( ~ hskp18
    | c3_1(a610) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f836,plain,
    ( spl0_11
    | spl0_73
    | spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f202,f590,f527,f242]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | c2_1(X1)
      | hskp26
      | c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f835,plain,
    ( ~ spl0_1
    | spl0_23
    | spl0_47
    | spl0_18 ),
    inference(avatar_split_clause,[],[f151,f275,f403,f296,f202]) ).

fof(f275,plain,
    ( spl0_18
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f151,axiom,
    ! [X0] :
      ( hskp5
      | hskp24
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f834,plain,
    ( ~ spl0_1
    | spl0_14
    | spl0_82
    | spl0_29 ),
    inference(avatar_split_clause,[],[f129,f323,f570,f256,f202]) ).

fof(f256,plain,
    ( spl0_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f129,axiom,
    ! [X0] :
      ( hskp4
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | hskp14
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f833,plain,
    ( spl0_35
    | ~ spl0_1
    | spl0_81
    | spl0_102 ),
    inference(avatar_split_clause,[],[f194,f670,f564,f202,f348]) ).

fof(f348,plain,
    ( spl0_35
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f194,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f831,plain,
    ( spl0_129
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f51,f441,f828]) ).

fof(f441,plain,
    ( spl0_55
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f51,axiom,
    ( ~ hskp23
    | c3_1(a636) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f826,plain,
    ( spl0_75
    | ~ spl0_1
    | spl0_34
    | spl0_41 ),
    inference(avatar_split_clause,[],[f144,f376,f344,f202,f536]) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp7
      | ~ ndr1_0
      | c0_1(X0)
      | hskp20
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f824,plain,
    ( spl0_128
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f64,f389,f821]) ).

fof(f64,axiom,
    ( ~ hskp11
    | c3_1(a599) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f819,plain,
    ( spl0_50
    | spl0_22
    | spl0_14 ),
    inference(avatar_split_clause,[],[f35,f256,f292,f417]) ).

fof(f35,axiom,
    ( hskp14
    | hskp21
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f817,plain,
    ( ~ spl0_22
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f90,f814,f292]) ).

fof(f90,axiom,
    ( ~ c3_1(a629)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f812,plain,
    ( ~ spl0_55
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f85,f809,f441]) ).

fof(f85,axiom,
    ( ~ c0_1(a636)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f807,plain,
    ( ~ spl0_8
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f108,f804,f228]) ).

fof(f108,axiom,
    ( ~ c3_1(a600)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f802,plain,
    ( ~ spl0_74
    | spl0_124 ),
    inference(avatar_split_clause,[],[f58,f799,f531]) ).

fof(f58,axiom,
    ( c1_1(a604)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f797,plain,
    ( ~ spl0_50
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f125,f794,f417]) ).

fof(f125,axiom,
    ( ~ c2_1(a584)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f787,plain,
    ( ~ spl0_1
    | spl0_82
    | spl0_4
    | spl0_90 ),
    inference(avatar_split_clause,[],[f196,f605,f212,f570,f202]) ).

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

fof(f786,plain,
    ( ~ spl0_1
    | spl0_91
    | spl0_11
    | spl0_23 ),
    inference(avatar_split_clause,[],[f150,f296,f242,f608,f202]) ).

fof(f150,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | hskp26
      | hskp28
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f785,plain,
    ( spl0_121
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f76,f251,f782]) ).

fof(f76,axiom,
    ( ~ hskp3
    | c2_1(a587) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f780,plain,
    ( ~ spl0_1
    | spl0_82
    | spl0_44
    | spl0_115 ),
    inference(avatar_split_clause,[],[f176,f748,f389,f570,f202]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | hskp11
      | ~ c2_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f775,plain,
    ( ~ spl0_55
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f86,f772,f441]) ).

fof(f86,axiom,
    ( ~ c1_1(a636)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f770,plain,
    ( spl0_67
    | spl0_115
    | spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f202,f256,f748,f499]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | hskp14
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f769,plain,
    ( spl0_53
    | spl0_30
    | spl0_41
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f169,f202,f376,f327,f431]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f767,plain,
    ( ~ spl0_118
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f104,f256,f764]) ).

fof(f104,axiom,
    ( ~ hskp14
    | ~ c3_1(a603) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f761,plain,
    ( spl0_117
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f62,f228,f758]) ).

fof(f62,axiom,
    ( ~ hskp12
    | c2_1(a600) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f756,plain,
    ( ~ spl0_116
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f110,f348,f753]) ).

fof(f110,axiom,
    ( ~ hskp10
    | ~ c1_1(a598) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f751,plain,
    ( spl0_63
    | ~ spl0_1
    | spl0_85
    | spl0_115 ),
    inference(avatar_split_clause,[],[f199,f748,f582,f202,f480]) ).

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

fof(f750,plain,
    ( spl0_115
    | spl0_63
    | ~ spl0_1
    | spl0_64 ),
    inference(avatar_split_clause,[],[f200,f484,f202,f480,f748]) ).

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

fof(f746,plain,
    ( spl0_114
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f53,f292,f743]) ).

fof(f53,axiom,
    ( ~ hskp21
    | c0_1(a629) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f741,plain,
    ( ~ spl0_14
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f103,f738,f256]) ).

fof(f103,axiom,
    ( ~ c1_1(a603)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f735,plain,
    ( ~ spl0_112
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f114,f288,f732]) ).

fof(f288,plain,
    ( spl0_21
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f114,axiom,
    ( ~ hskp8
    | ~ c2_1(a593) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f730,plain,
    ( spl0_86
    | spl0_45
    | ~ spl0_1
    | spl0_21 ),
    inference(avatar_split_clause,[],[f133,f288,f202,f394,f585]) ).

fof(f394,plain,
    ( spl0_45
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f133,axiom,
    ! [X0] :
      ( hskp8
      | ~ ndr1_0
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f729,plain,
    ( spl0_44
    | spl0_80
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f136,f292,f202,f560,f389]) ).

fof(f136,axiom,
    ! [X0] :
      ( hskp21
      | ~ ndr1_0
      | c1_1(X0)
      | hskp11
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f728,plain,
    ( ~ spl0_1
    | spl0_30
    | spl0_84
    | spl0_36 ),
    inference(avatar_split_clause,[],[f193,f352,f578,f327,f202]) ).

fof(f193,axiom,
    ! [X2,X0,X1] :
      ( ~ c1_1(X1)
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f727,plain,
    ( spl0_41
    | ~ spl0_1
    | spl0_38
    | spl0_20 ),
    inference(avatar_split_clause,[],[f187,f284,f361,f202,f376]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | c3_1(X0)
      | hskp16
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f726,plain,
    ( spl0_13
    | spl0_32
    | spl0_63
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f202,f480,f336,f251]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | c1_1(X0)
      | hskp3
      | ~ c0_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f725,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f2,f202,f216]) ).

fof(f216,plain,
    ( spl0_5
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2,axiom,
    ( ndr1_0
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f724,plain,
    ( ~ spl0_111
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f95,f618,f721]) ).

fof(f95,axiom,
    ( ~ hskp19
    | ~ c1_1(a617) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f719,plain,
    ( ~ spl0_53
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f123,f716,f431]) ).

fof(f123,axiom,
    ( ~ c0_1(a585)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f714,plain,
    ( spl0_41
    | spl0_80
    | ~ spl0_1
    | spl0_82 ),
    inference(avatar_split_clause,[],[f195,f570,f202,f560,f376]) ).

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

fof(f712,plain,
    ( spl0_109
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f43,f489,f709]) ).

fof(f43,axiom,
    ( ~ hskp27
    | c1_1(a611) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f707,plain,
    ( spl0_108
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f39,f608,f704]) ).

fof(f39,axiom,
    ( ~ hskp28
    | c1_1(a612) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f696,plain,
    ( spl0_106
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f67,f288,f693]) ).

fof(f67,axiom,
    ( ~ hskp8
    | c1_1(a593) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f689,plain,
    ( ~ spl0_105
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f117,f394,f686]) ).

fof(f117,axiom,
    ( ~ hskp6
    | ~ c0_1(a590) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f684,plain,
    ( ~ spl0_104
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f107,f304,f681]) ).

fof(f107,axiom,
    ( ~ hskp13
    | ~ c2_1(a601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f679,plain,
    ( ~ spl0_1
    | spl0_93
    | spl0_85
    | spl0_25 ),
    inference(avatar_split_clause,[],[f143,f304,f582,f618,f202]) ).

fof(f143,axiom,
    ! [X0] :
      ( hskp13
      | ~ c1_1(X0)
      | c0_1(X0)
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f677,plain,
    ( ~ spl0_103
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f120,f323,f674]) ).

fof(f120,axiom,
    ( ~ hskp4
    | ~ c2_1(a588) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f672,plain,
    ( spl0_86
    | ~ spl0_1
    | spl0_40
    | spl0_102 ),
    inference(avatar_split_clause,[],[f185,f670,f371,f202,f585]) ).

fof(f371,plain,
    ( spl0_40
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | hskp9
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f668,plain,
    ( ~ spl0_35
    | spl0_101 ),
    inference(avatar_split_clause,[],[f65,f665,f348]) ).

fof(f65,axiom,
    ( c0_1(a598)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f662,plain,
    ( ~ spl0_93
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f94,f659,f618]) ).

fof(f94,axiom,
    ( ~ c0_1(a617)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f652,plain,
    ( spl0_98
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f75,f251,f649]) ).

fof(f75,axiom,
    ( ~ hskp3
    | c0_1(a587) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f647,plain,
    ( spl0_38
    | ~ spl0_1
    | spl0_31
    | spl0_36 ),
    inference(avatar_split_clause,[],[f170,f352,f331,f202,f361]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f645,plain,
    ( ~ spl0_97
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f111,f371,f642]) ).

fof(f111,axiom,
    ( ~ hskp9
    | ~ c0_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f640,plain,
    ( ~ spl0_34
    | spl0_96 ),
    inference(avatar_split_clause,[],[f69,f637,f344]) ).

fof(f69,axiom,
    ( c2_1(a592)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f634,plain,
    ( spl0_21
    | ~ spl0_1
    | spl0_69
    | spl0_45 ),
    inference(avatar_split_clause,[],[f141,f394,f508,f202,f288]) ).

fof(f141,axiom,
    ! [X0] :
      ( hskp6
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c3_1(X0)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f633,plain,
    ( spl0_95
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f56,f280,f630]) ).

fof(f56,axiom,
    ( ~ hskp17
    | c3_1(a607) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f628,plain,
    ( ~ spl0_1
    | spl0_50
    | spl0_11
    | spl0_94 ),
    inference(avatar_split_clause,[],[f126,f626,f242,f417,f202]) ).

fof(f126,axiom,
    ! [X0] :
      ( c1_1(X0)
      | hskp26
      | hskp0
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f624,plain,
    ( spl0_21
    | ~ spl0_1
    | spl0_83
    | spl0_84 ),
    inference(avatar_split_clause,[],[f183,f578,f574,f202,f288]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f622,plain,
    ( ~ spl0_1
    | spl0_29
    | spl0_35
    | spl0_4 ),
    inference(avatar_split_clause,[],[f145,f212,f348,f323,f202]) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | c0_1(X0)
      | hskp10
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f621,plain,
    ( spl0_93
    | spl0_3
    | ~ spl0_1
    | spl0_75 ),
    inference(avatar_split_clause,[],[f163,f536,f202,f209,f618]) ).

fof(f163,axiom,
    ! [X0] :
      ( hskp20
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | hskp19
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f616,plain,
    ( ~ spl0_92
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f109,f389,f613]) ).

fof(f109,axiom,
    ( ~ hskp11
    | ~ c1_1(a599) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f611,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_90
    | spl0_91 ),
    inference(avatar_split_clause,[],[f189,f608,f605,f224,f202]) ).

fof(f189,axiom,
    ! [X0,X1] :
      ( hskp28
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f603,plain,
    ( spl0_89
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f78,f233,f600]) ).

fof(f233,plain,
    ( spl0_9
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f78,axiom,
    ( ~ hskp2
    | c2_1(a586) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f598,plain,
    ( ~ spl0_65
    | spl0_88 ),
    inference(avatar_split_clause,[],[f42,f595,f489]) ).

fof(f42,axiom,
    ( c0_1(a611)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f593,plain,
    ( spl0_29
    | spl0_20
    | spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f202,f280,f284,f323]) ).

fof(f156,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp17
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | hskp4
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f592,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_86
    | spl0_87 ),
    inference(avatar_split_clause,[],[f167,f590,f585,f242,f202]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | c3_1(X1)
      | hskp26
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f587,plain,
    ( spl0_21
    | ~ spl0_1
    | spl0_85
    | spl0_86 ),
    inference(avatar_split_clause,[],[f175,f585,f582,f202,f288]) ).

fof(f175,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X0)
      | hskp8
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f580,plain,
    ( spl0_38
    | ~ spl0_1
    | spl0_4
    | spl0_84 ),
    inference(avatar_split_clause,[],[f180,f578,f212,f202,f361]) ).

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

fof(f576,plain,
    ( ~ spl0_1
    | spl0_21
    | spl0_83
    | spl0_65 ),
    inference(avatar_split_clause,[],[f157,f489,f574,f288,f202]) ).

fof(f157,axiom,
    ! [X0] :
      ( hskp27
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | hskp8
      | ~ ndr1_0
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f567,plain,
    ( spl0_74
    | ~ spl0_1
    | spl0_56
    | spl0_3 ),
    inference(avatar_split_clause,[],[f191,f209,f445,f202,f531]) ).

fof(f191,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f558,plain,
    ( ~ spl0_34
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f115,f555,f344]) ).

fof(f115,axiom,
    ( ~ c0_1(a592)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f553,plain,
    ( ~ spl0_35
    | spl0_78 ),
    inference(avatar_split_clause,[],[f66,f550,f348]) ).

fof(f66,axiom,
    ( c3_1(a598)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f548,plain,
    ( ~ spl0_77
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f91,f536,f545]) ).

fof(f91,axiom,
    ( ~ hskp20
    | ~ c1_1(a623) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f543,plain,
    ( ~ spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f92,f540,f536]) ).

fof(f92,axiom,
    ( ~ c2_1(a623)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f534,plain,
    ( spl0_74
    | ~ spl0_1
    | spl0_7
    | spl0_41 ),
    inference(avatar_split_clause,[],[f188,f376,f224,f202,f531]) ).

fof(f188,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f529,plain,
    ( spl0_19
    | ~ spl0_1
    | spl0_73
    | spl0_36 ),
    inference(avatar_split_clause,[],[f177,f352,f527,f202,f280]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp17
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f525,plain,
    ( spl0_72
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f60,f256,f522]) ).

fof(f60,axiom,
    ( ~ hskp14
    | c0_1(a603) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f520,plain,
    ( ~ spl0_6
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f97,f517,f220]) ).

fof(f97,axiom,
    ( ~ c2_1(a610)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f515,plain,
    ( ~ spl0_18
    | spl0_70 ),
    inference(avatar_split_clause,[],[f72,f512,f275]) ).

fof(f72,axiom,
    ( c0_1(a589)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f510,plain,
    ( spl0_40
    | spl0_26
    | ~ spl0_1
    | spl0_69 ),
    inference(avatar_split_clause,[],[f142,f508,f202,f309,f371]) ).

fof(f142,axiom,
    ! [X0] :
      ( c2_1(X0)
      | ~ ndr1_0
      | hskp25
      | hskp9
      | c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f506,plain,
    ( spl0_68
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f68,f288,f503]) ).

fof(f68,axiom,
    ( ~ hskp8
    | c3_1(a593) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f501,plain,
    ( spl0_19
    | spl0_13
    | ~ spl0_1
    | spl0_67 ),
    inference(avatar_split_clause,[],[f154,f499,f202,f251,f280]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c2_1(X0)
      | hskp3
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f497,plain,
    ( spl0_66
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f77,f233,f494]) ).

fof(f77,axiom,
    ( ~ hskp2
    | c1_1(a586) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f487,plain,
    ( spl0_29
    | spl0_13
    | ~ spl0_1
    | spl0_31 ),
    inference(avatar_split_clause,[],[f139,f331,f202,f251,f323]) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | hskp3
      | c1_1(X0)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f486,plain,
    ( spl0_64
    | ~ spl0_1
    | spl0_50
    | spl0_44 ),
    inference(avatar_split_clause,[],[f149,f389,f417,f202,f484]) ).

fof(f149,axiom,
    ! [X0] :
      ( hskp11
      | hskp0
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f482,plain,
    ( ~ spl0_1
    | spl0_23
    | spl0_55
    | spl0_63 ),
    inference(avatar_split_clause,[],[f182,f480,f441,f296,f202]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( c2_1(X1)
      | c1_1(X1)
      | hskp23
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f478,plain,
    ( ~ spl0_62
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f113,f371,f475]) ).

fof(f113,axiom,
    ( ~ hskp9
    | ~ c3_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f473,plain,
    ( ~ spl0_34
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f116,f470,f344]) ).

fof(f116,axiom,
    ( ~ c3_1(a592)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f468,plain,
    ( ~ spl0_60
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f98,f280,f465]) ).

fof(f98,axiom,
    ( ~ hskp17
    | ~ c1_1(a607) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f463,plain,
    ( spl0_59
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f49,f403,f460]) ).

fof(f49,axiom,
    ( ~ hskp24
    | c0_1(a648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f458,plain,
    ( ~ spl0_45
    | spl0_58 ),
    inference(avatar_split_clause,[],[f71,f455,f394]) ).

fof(f71,axiom,
    ( c3_1(a590)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f453,plain,
    ( spl0_19
    | spl0_34
    | spl0_5 ),
    inference(avatar_split_clause,[],[f34,f216,f344,f280]) ).

fof(f34,axiom,
    ( hskp29
    | hskp7
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f452,plain,
    ( ~ spl0_57
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f100,f361,f449]) ).

fof(f100,axiom,
    ( ~ hskp16
    | ~ c2_1(a606) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f447,plain,
    ( ~ spl0_1
    | spl0_55
    | spl0_56
    | spl0_44 ),
    inference(avatar_split_clause,[],[f146,f389,f445,f441,f202]) ).

fof(f146,axiom,
    ! [X0] :
      ( hskp11
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | hskp23
      | ~ ndr1_0
      | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f439,plain,
    ( ~ spl0_54
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f119,f323,f436]) ).

fof(f119,axiom,
    ( ~ hskp4
    | ~ c1_1(a588) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f434,plain,
    ( spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f80,f431,f427]) ).

fof(f80,axiom,
    ( ~ hskp1
    | c2_1(a585) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f425,plain,
    ( spl0_51
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f81,f417,f422]) ).

fof(f81,axiom,
    ( ~ hskp0
    | c1_1(a584) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f415,plain,
    ( ~ spl0_40
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f112,f412,f371]) ).

fof(f112,axiom,
    ( ~ c1_1(a595)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f410,plain,
    ( ~ spl0_47
    | spl0_48 ),
    inference(avatar_split_clause,[],[f50,f407,f403]) ).

fof(f50,axiom,
    ( c1_1(a648)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f401,plain,
    ( ~ spl0_45
    | spl0_46 ),
    inference(avatar_split_clause,[],[f70,f398,f394]) ).

fof(f70,axiom,
    ( c2_1(a590)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f392,plain,
    ( spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f63,f389,f385]) ).

fof(f63,axiom,
    ( ~ hskp11
    | c2_1(a599) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f369,plain,
    ( spl0_39
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f48,f309,f366]) ).

fof(f48,axiom,
    ( ~ hskp25
    | c2_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f364,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f101,f361,f357]) ).

fof(f101,axiom,
    ( ~ hskp16
    | ~ c3_1(a606) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f355,plain,
    ( spl0_8
    | spl0_21
    | spl0_11 ),
    inference(avatar_split_clause,[],[f32,f242,f288,f228]) ).

fof(f32,axiom,
    ( hskp26
    | hskp8
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f354,plain,
    ( spl0_34
    | ~ spl0_1
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f134,f352,f348,f202,f344]) ).

fof(f134,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | hskp10
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f341,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f171,f339,f336,f220,f202]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | hskp18
      | ~ c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f333,plain,
    ( spl0_30
    | spl0_9
    | spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f166,f202,f331,f233,f327]) ).

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

fof(f329,plain,
    ( spl0_29
    | ~ spl0_1
    | spl0_30
    | spl0_13 ),
    inference(avatar_split_clause,[],[f127,f251,f327,f202,f323]) ).

fof(f127,axiom,
    ! [X0] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f321,plain,
    ( ~ spl0_18
    | spl0_28 ),
    inference(avatar_split_clause,[],[f73,f318,f275]) ).

fof(f73,axiom,
    ( c1_1(a589)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f316,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f82,f313,f309]) ).

fof(f82,axiom,
    ( ~ c1_1(a651)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f307,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f105,f304,f300]) ).

fof(f105,axiom,
    ( ~ hskp13
    | ~ c0_1(a601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f298,plain,
    ( spl0_21
    | ~ spl0_1
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f152,f296,f292,f202,f288]) ).

fof(f152,axiom,
    ! [X0] :
      ( c2_1(X0)
      | hskp21
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp8
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f273,plain,
    ( ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f96,f270,f220]) ).

fof(f96,axiom,
    ( ~ c0_1(a610)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f249,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f47,f246,f242]) ).

fof(f47,axiom,
    ( c2_1(a583)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f240,plain,
    ( ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f122,f237,f233]) ).

fof(f122,axiom,
    ( ~ c3_1(a586)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f214,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f212,f209,f206,f202]) ).

fof(f198,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN507-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:57:56 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (1114)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  % (1117)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1119)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1127)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (1126)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (1130)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (1123)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.54  % (1139)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.41/0.54  % (1134)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.54  % (1123)Instruction limit reached!
% 1.41/0.54  % (1123)------------------------------
% 1.41/0.54  % (1123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (1140)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.41/0.54  % (1120)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.41/0.54  % (1144)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.54  % (1123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (1123)Termination reason: Unknown
% 1.41/0.54  % (1123)Termination phase: Blocked clause elimination
% 1.41/0.54  
% 1.41/0.54  % (1123)Memory used [KB]: 1151
% 1.41/0.54  % (1123)Time elapsed: 0.004 s
% 1.41/0.54  % (1123)Instructions burned: 4 (million)
% 1.41/0.54  % (1123)------------------------------
% 1.41/0.54  % (1123)------------------------------
% 1.41/0.54  Detected maximum model sizes of [30]
% 1.41/0.54  TRYING [1]
% 1.41/0.54  % (1142)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.54  TRYING [2]
% 1.41/0.54  % (1145)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.54  TRYING [3]
% 1.41/0.55  % (1135)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.55  % (1133)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.55  % (1121)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.55  % (1122)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55  % (1124)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.55  TRYING [4]
% 1.41/0.55  % (1116)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.41/0.55  Detected maximum model sizes of [30]
% 1.41/0.55  TRYING [1]
% 1.41/0.55  TRYING [2]
% 1.41/0.55  % (1128)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.57/0.55  TRYING [3]
% 1.57/0.55  % (1122)Instruction limit reached!
% 1.57/0.55  % (1122)------------------------------
% 1.57/0.55  % (1122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55  % (1122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55  % (1122)Termination reason: Unknown
% 1.57/0.55  % (1122)Termination phase: Saturation
% 1.57/0.55  
% 1.57/0.55  % (1122)Memory used [KB]: 6012
% 1.57/0.55  % (1122)Time elapsed: 0.111 s
% 1.57/0.55  % (1122)Instructions burned: 8 (million)
% 1.57/0.55  % (1122)------------------------------
% 1.57/0.55  % (1122)------------------------------
% 1.57/0.55  % (1131)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.57/0.56  % (1136)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.57/0.56  % (1137)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.57/0.56  % (1115)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.56  % (1143)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.57/0.56  % (1146)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.57/0.56  % (1129)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.57/0.57  % (1132)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.57/0.57  % (1141)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.57/0.57  Detected maximum model sizes of [30]
% 1.57/0.57  TRYING [1]
% 1.57/0.58  TRYING [2]
% 1.57/0.58  TRYING [4]
% 1.57/0.58  TRYING [5]
% 1.57/0.60  TRYING [3]
% 1.57/0.60  TRYING [4]
% 1.57/0.60  % (1116)Instruction limit reached!
% 1.57/0.60  % (1116)------------------------------
% 1.57/0.60  % (1116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60  % (1116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60  % (1116)Termination reason: Unknown
% 1.57/0.60  % (1116)Termination phase: Saturation
% 1.57/0.60  
% 1.57/0.60  % (1116)Memory used [KB]: 1279
% 1.57/0.60  % (1116)Time elapsed: 0.204 s
% 1.57/0.60  % (1116)Instructions burned: 38 (million)
% 1.57/0.60  % (1116)------------------------------
% 1.57/0.60  % (1116)------------------------------
% 1.57/0.60  % (1119)Instruction limit reached!
% 1.57/0.60  % (1119)------------------------------
% 1.57/0.60  % (1119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61  TRYING [5]
% 1.57/0.61  % (1119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61  % (1119)Termination reason: Unknown
% 1.57/0.61  % (1119)Termination phase: Saturation
% 1.57/0.61  
% 1.57/0.61  % (1119)Memory used [KB]: 7036
% 1.57/0.61  % (1119)Time elapsed: 0.204 s
% 1.57/0.61  % (1119)Instructions burned: 51 (million)
% 1.57/0.61  % (1119)------------------------------
% 1.57/0.61  % (1119)------------------------------
% 1.57/0.61  % (1121)Instruction limit reached!
% 1.57/0.61  % (1121)------------------------------
% 1.57/0.61  % (1121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61  % (1126)Instruction limit reached!
% 1.57/0.61  % (1126)------------------------------
% 1.57/0.61  % (1126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61  % (1117)Instruction limit reached!
% 1.57/0.61  % (1117)------------------------------
% 1.57/0.61  % (1117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61  % (1127)First to succeed.
% 1.57/0.62  % (1127)Refutation found. Thanks to Tanya!
% 1.57/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.57/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.62  % (1127)------------------------------
% 1.57/0.62  % (1127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.62  % (1127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.62  % (1127)Termination reason: Refutation
% 1.57/0.62  
% 1.57/0.62  % (1127)Memory used [KB]: 6908
% 1.57/0.62  % (1127)Time elapsed: 0.204 s
% 1.57/0.62  % (1127)Instructions burned: 48 (million)
% 1.57/0.62  % (1127)------------------------------
% 1.57/0.62  % (1127)------------------------------
% 1.57/0.62  % (1113)Success in time 0.271 s
%------------------------------------------------------------------------------