TSTP Solution File: SYN479-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN479-1 : 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 : n017.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 19:38:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  272
% Syntax   : Number of formulae    :  633 (   1 unt;   0 def)
%            Number of atoms       : 2001 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2360 ( 992   ~;1219   |;   0   &)
%                                         ( 149 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  124 ( 124   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2648,plain,
    $false,
    inference(avatar_sat_refutation,[],[f218,f235,f274,f299,f309,f321,f351,f356,f361,f366,f380,f385,f394,f399,f404,f409,f416,f421,f422,f427,f432,f437,f446,f454,f468,f477,f496,f510,f520,f525,f532,f539,f548,f552,f554,f560,f561,f566,f567,f571,f579,f580,f585,f590,f595,f599,f605,f610,f623,f624,f629,f635,f640,f645,f646,f661,f666,f672,f677,f682,f688,f692,f693,f694,f699,f700,f713,f719,f720,f725,f730,f735,f740,f741,f746,f751,f756,f762,f768,f770,f771,f776,f781,f786,f793,f798,f803,f804,f815,f820,f830,f835,f842,f847,f852,f857,f862,f868,f870,f874,f884,f890,f895,f901,f903,f904,f915,f920,f925,f930,f935,f940,f945,f947,f949,f954,f969,f970,f975,f983,f989,f994,f995,f1000,f1006,f1016,f1021,f1027,f1033,f1072,f1076,f1095,f1102,f1109,f1116,f1125,f1137,f1148,f1174,f1192,f1198,f1217,f1234,f1301,f1304,f1326,f1329,f1351,f1356,f1372,f1417,f1418,f1431,f1442,f1499,f1570,f1589,f1591,f1592,f1594,f1595,f1634,f1670,f1675,f1700,f1718,f1722,f1723,f1724,f1746,f1755,f1791,f1793,f1794,f1796,f1893,f1895,f1906,f1980,f1982,f1983,f1984,f2064,f2088,f2089,f2114,f2117,f2118,f2221,f2232,f2325,f2329,f2377,f2422,f2471,f2478,f2480,f2524,f2581,f2583,f2637,f2639,f2645,f2646]) ).

fof(f2646,plain,
    ( spl0_138
    | ~ spl0_22
    | ~ spl0_104
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2627,f1195,f690,f292,f881]) ).

fof(f881,plain,
    ( spl0_138
  <=> c2_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f292,plain,
    ( spl0_22
  <=> c0_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f690,plain,
    ( spl0_104
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1195,plain,
    ( spl0_172
  <=> c3_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2627,plain,
    ( ~ c0_1(a1458)
    | c2_1(a1458)
    | ~ spl0_104
    | ~ spl0_172 ),
    inference(resolution,[],[f691,f1197]) ).

fof(f1197,plain,
    ( c3_1(a1458)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1195]) ).

fof(f691,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f2645,plain,
    ( spl0_171
    | ~ spl0_119
    | ~ spl0_104
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2630,f932,f690,f773,f1171]) ).

fof(f1171,plain,
    ( spl0_171
  <=> c2_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f773,plain,
    ( spl0_119
  <=> c0_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f932,plain,
    ( spl0_147
  <=> c3_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2630,plain,
    ( ~ c0_1(a1441)
    | c2_1(a1441)
    | ~ spl0_104
    | ~ spl0_147 ),
    inference(resolution,[],[f691,f934]) ).

fof(f934,plain,
    ( c3_1(a1441)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f2639,plain,
    ( spl0_27
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2636,f690,f339,f314]) ).

fof(f314,plain,
    ( spl0_27
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f339,plain,
    ( spl0_33
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2636,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(duplicate_literal_removal,[],[f2620]) ).

fof(f2620,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(resolution,[],[f691,f340]) ).

fof(f340,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2637,plain,
    ( spl0_28
    | ~ spl0_3
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2629,f748,f690,f211,f318]) ).

fof(f318,plain,
    ( spl0_28
  <=> c2_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f211,plain,
    ( spl0_3
  <=> c0_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f748,plain,
    ( spl0_115
  <=> c3_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f2629,plain,
    ( ~ c0_1(a1448)
    | c2_1(a1448)
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(resolution,[],[f691,f750]) ).

fof(f750,plain,
    ( c3_1(a1448)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f2583,plain,
    ( ~ spl0_71
    | ~ spl0_25
    | ~ spl0_74
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2572,f1041,f534,f306,f517]) ).

fof(f517,plain,
    ( spl0_71
  <=> c0_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f306,plain,
    ( spl0_25
  <=> c1_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f534,plain,
    ( spl0_74
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1041,plain,
    ( spl0_162
  <=> c2_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f2572,plain,
    ( ~ c1_1(a1452)
    | ~ c0_1(a1452)
    | ~ spl0_74
    | ~ spl0_162 ),
    inference(resolution,[],[f535,f1042]) ).

fof(f1042,plain,
    ( c2_1(a1452)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f535,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f2581,plain,
    ( ~ spl0_120
    | ~ spl0_158
    | ~ spl0_74
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2574,f557,f534,f1003,f778]) ).

fof(f778,plain,
    ( spl0_120
  <=> c1_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1003,plain,
    ( spl0_158
  <=> c0_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f557,plain,
    ( spl0_79
  <=> c2_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f2574,plain,
    ( ~ c0_1(a1449)
    | ~ c1_1(a1449)
    | ~ spl0_74
    | ~ spl0_79 ),
    inference(resolution,[],[f535,f559]) ).

fof(f559,plain,
    ( c2_1(a1449)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f2524,plain,
    ( ~ spl0_159
    | ~ spl0_61
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2508,f674,f648,f470,f1013]) ).

fof(f1013,plain,
    ( spl0_159
  <=> c0_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f470,plain,
    ( spl0_61
  <=> c1_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f648,plain,
    ( spl0_96
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f674,plain,
    ( spl0_101
  <=> c3_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2508,plain,
    ( ~ c1_1(a1483)
    | ~ c0_1(a1483)
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(resolution,[],[f649,f676]) ).

fof(f676,plain,
    ( c3_1(a1483)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f649,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f2480,plain,
    ( spl0_124
    | spl0_49
    | ~ spl0_90
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2469,f1144,f615,f413,f800]) ).

fof(f800,plain,
    ( spl0_124
  <=> c3_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f413,plain,
    ( spl0_49
  <=> c2_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f615,plain,
    ( spl0_90
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1144,plain,
    ( spl0_168
  <=> c1_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2469,plain,
    ( c2_1(a1447)
    | c3_1(a1447)
    | ~ spl0_90
    | ~ spl0_168 ),
    inference(resolution,[],[f616,f1146]) ).

fof(f1146,plain,
    ( c1_1(a1447)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f616,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f2478,plain,
    ( spl0_138
    | spl0_172
    | ~ spl0_90
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2457,f685,f615,f1195,f881]) ).

fof(f685,plain,
    ( spl0_103
  <=> c1_1(a1458) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2457,plain,
    ( c3_1(a1458)
    | c2_1(a1458)
    | ~ spl0_90
    | ~ spl0_103 ),
    inference(resolution,[],[f616,f687]) ).

fof(f687,plain,
    ( c1_1(a1458)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f2471,plain,
    ( spl0_38
    | spl0_132
    | ~ spl0_90
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2463,f1088,f615,f844,f358]) ).

fof(f358,plain,
    ( spl0_38
  <=> c3_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f844,plain,
    ( spl0_132
  <=> c2_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1088,plain,
    ( spl0_165
  <=> c1_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2463,plain,
    ( c2_1(a1435)
    | c3_1(a1435)
    | ~ spl0_90
    | ~ spl0_165 ),
    inference(resolution,[],[f616,f1090]) ).

fof(f1090,plain,
    ( c1_1(a1435)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f2422,plain,
    ( spl0_134
    | spl0_140
    | ~ spl0_81
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2413,f1348,f569,f892,f854]) ).

fof(f854,plain,
    ( spl0_134
  <=> c3_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f892,plain,
    ( spl0_140
  <=> c1_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f569,plain,
    ( spl0_81
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1348,plain,
    ( spl0_175
  <=> c0_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f2413,plain,
    ( c1_1(a1451)
    | c3_1(a1451)
    | ~ spl0_81
    | ~ spl0_175 ),
    inference(resolution,[],[f570,f1349]) ).

fof(f1349,plain,
    ( c0_1(a1451)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1348]) ).

fof(f570,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c3_1(X1) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f2377,plain,
    ( ~ spl0_171
    | ~ spl0_119
    | ~ spl0_20
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2375,f932,f285,f773,f1171]) ).

fof(f285,plain,
    ( spl0_20
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f2375,plain,
    ( ~ c0_1(a1441)
    | ~ c2_1(a1441)
    | ~ spl0_20
    | ~ spl0_147 ),
    inference(resolution,[],[f934,f286]) ).

fof(f286,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f2329,plain,
    ( spl0_116
    | ~ spl0_25
    | ~ spl0_78
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2321,f1041,f550,f306,f753]) ).

fof(f753,plain,
    ( spl0_116
  <=> c3_1(a1452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f550,plain,
    ( spl0_78
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2321,plain,
    ( ~ c1_1(a1452)
    | c3_1(a1452)
    | ~ spl0_78
    | ~ spl0_162 ),
    inference(resolution,[],[f551,f1042]) ).

fof(f551,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f2325,plain,
    ( spl0_145
    | ~ spl0_176
    | ~ spl0_78
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2324,f859,f550,f1353,f922]) ).

fof(f922,plain,
    ( spl0_145
  <=> c3_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1353,plain,
    ( spl0_176
  <=> c1_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f859,plain,
    ( spl0_135
  <=> c2_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2324,plain,
    ( ~ c1_1(a1427)
    | c3_1(a1427)
    | ~ spl0_78
    | ~ spl0_135 ),
    inference(resolution,[],[f551,f861]) ).

fof(f861,plain,
    ( c2_1(a1427)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f2232,plain,
    ( spl0_116
    | spl0_162
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2231,f517,f288,f1041,f753]) ).

fof(f288,plain,
    ( spl0_21
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2231,plain,
    ( c2_1(a1452)
    | c3_1(a1452)
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(resolution,[],[f519,f289]) ).

fof(f289,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f519,plain,
    ( c0_1(a1452)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f2221,plain,
    ( ~ spl0_182
    | spl0_105
    | ~ spl0_57
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2210,f991,f452,f696,f1586]) ).

fof(f1586,plain,
    ( spl0_182
  <=> c1_1(a1517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f696,plain,
    ( spl0_105
  <=> c0_1(a1517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f452,plain,
    ( spl0_57
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f991,plain,
    ( spl0_157
  <=> c2_1(a1517) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2210,plain,
    ( c0_1(a1517)
    | ~ c1_1(a1517)
    | ~ spl0_57
    | ~ spl0_157 ),
    inference(resolution,[],[f453,f993]) ).

fof(f993,plain,
    ( c2_1(a1517)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f453,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f2118,plain,
    ( spl0_180
    | ~ spl0_141
    | ~ spl0_86
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2099,f663,f597,f898,f1523]) ).

fof(f1523,plain,
    ( spl0_180
  <=> c0_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f898,plain,
    ( spl0_141
  <=> c2_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f597,plain,
    ( spl0_86
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f663,plain,
    ( spl0_99
  <=> c3_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2099,plain,
    ( ~ c2_1(a1465)
    | c0_1(a1465)
    | ~ spl0_86
    | ~ spl0_99 ),
    inference(resolution,[],[f598,f665]) ).

fof(f665,plain,
    ( c3_1(a1465)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f598,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f2117,plain,
    ( ~ spl0_167
    | spl0_85
    | ~ spl0_86
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2104,f710,f597,f592,f1134]) ).

fof(f1134,plain,
    ( spl0_167
  <=> c2_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f592,plain,
    ( spl0_85
  <=> c0_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f710,plain,
    ( spl0_108
  <=> c3_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f2104,plain,
    ( c0_1(a1438)
    | ~ c2_1(a1438)
    | ~ spl0_86
    | ~ spl0_108 ),
    inference(resolution,[],[f598,f712]) ).

fof(f712,plain,
    ( c3_1(a1438)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f2114,plain,
    ( spl0_80
    | ~ spl0_48
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2109,f602,f597,f406,f563]) ).

fof(f563,plain,
    ( spl0_80
  <=> c0_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f406,plain,
    ( spl0_48
  <=> c2_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f602,plain,
    ( spl0_87
  <=> c3_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2109,plain,
    ( ~ c2_1(a1429)
    | c0_1(a1429)
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(resolution,[],[f598,f604]) ).

fof(f604,plain,
    ( c3_1(a1429)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f2089,plain,
    ( spl0_127
    | spl0_85
    | ~ spl0_83
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2076,f710,f582,f592,f817]) ).

fof(f817,plain,
    ( spl0_127
  <=> c1_1(a1438) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f582,plain,
    ( spl0_83
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f2076,plain,
    ( c0_1(a1438)
    | c1_1(a1438)
    | ~ spl0_83
    | ~ spl0_108 ),
    inference(resolution,[],[f583,f712]) ).

fof(f583,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f2088,plain,
    ( spl0_180
    | spl0_84
    | ~ spl0_83
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2071,f663,f582,f587,f1523]) ).

fof(f587,plain,
    ( spl0_84
  <=> c1_1(a1465) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2071,plain,
    ( c1_1(a1465)
    | c0_1(a1465)
    | ~ spl0_83
    | ~ spl0_99 ),
    inference(resolution,[],[f583,f665]) ).

fof(f2064,plain,
    ( ~ spl0_120
    | spl0_102
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2052,f557,f550,f679,f778]) ).

fof(f679,plain,
    ( spl0_102
  <=> c3_1(a1449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2052,plain,
    ( c3_1(a1449)
    | ~ c1_1(a1449)
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(resolution,[],[f551,f559]) ).

fof(f1984,plain,
    ( ~ spl0_144
    | spl0_145
    | ~ spl0_26
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1944,f859,f311,f922,f917]) ).

fof(f917,plain,
    ( spl0_144
  <=> c0_1(a1427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f311,plain,
    ( spl0_26
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1944,plain,
    ( c3_1(a1427)
    | ~ c0_1(a1427)
    | ~ spl0_26
    | ~ spl0_135 ),
    inference(resolution,[],[f312,f861]) ).

fof(f312,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f1983,plain,
    ( ~ spl0_141
    | ~ spl0_180
    | ~ spl0_20
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1916,f663,f285,f1523,f898]) ).

fof(f1916,plain,
    ( ~ c0_1(a1465)
    | ~ c2_1(a1465)
    | ~ spl0_20
    | ~ spl0_99 ),
    inference(resolution,[],[f286,f665]) ).

fof(f1982,plain,
    ( spl0_50
    | spl0_113
    | ~ spl0_77
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1975,f986,f546,f737,f418]) ).

fof(f418,plain,
    ( spl0_50
  <=> c0_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f737,plain,
    ( spl0_113
  <=> c1_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f546,plain,
    ( spl0_77
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f986,plain,
    ( spl0_156
  <=> c2_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1975,plain,
    ( c1_1(a1457)
    | c0_1(a1457)
    | ~ spl0_77
    | spl0_156 ),
    inference(resolution,[],[f547,f988]) ).

fof(f988,plain,
    ( ~ c2_1(a1457)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f547,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f1980,plain,
    ( spl0_88
    | spl0_168
    | spl0_49
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1976,f546,f413,f1144,f607]) ).

fof(f607,plain,
    ( spl0_88
  <=> c0_1(a1447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1976,plain,
    ( c1_1(a1447)
    | c0_1(a1447)
    | spl0_49
    | ~ spl0_77 ),
    inference(resolution,[],[f547,f415]) ).

fof(f415,plain,
    ( ~ c2_1(a1447)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f1906,plain,
    ( spl0_100
    | ~ spl0_111
    | ~ spl0_11
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1905,f1151,f246,f727,f669]) ).

fof(f669,plain,
    ( spl0_100
  <=> c0_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f727,plain,
    ( spl0_111
  <=> c1_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f246,plain,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1151,plain,
    ( spl0_169
  <=> c3_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1905,plain,
    ( ~ c1_1(a1431)
    | c0_1(a1431)
    | ~ spl0_11
    | ~ spl0_169 ),
    inference(resolution,[],[f1153,f247]) ).

fof(f247,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f1153,plain,
    ( c3_1(a1431)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f1895,plain,
    ( spl0_129
    | spl0_100
    | ~ spl0_17
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1888,f1151,f272,f669,f827]) ).

fof(f827,plain,
    ( spl0_129
  <=> c2_1(a1431) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f272,plain,
    ( spl0_17
  <=> ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1888,plain,
    ( c0_1(a1431)
    | c2_1(a1431)
    | ~ spl0_17
    | spl0_169 ),
    inference(resolution,[],[f273,f1152]) ).

fof(f1152,plain,
    ( ~ c3_1(a1431)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f273,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f1893,plain,
    ( spl0_156
    | spl0_50
    | ~ spl0_17
    | spl0_173 ),
    inference(avatar_split_clause,[],[f1890,f1212,f272,f418,f986]) ).

fof(f1212,plain,
    ( spl0_173
  <=> c3_1(a1457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1890,plain,
    ( c0_1(a1457)
    | c2_1(a1457)
    | ~ spl0_17
    | spl0_173 ),
    inference(resolution,[],[f273,f1213]) ).

fof(f1213,plain,
    ( ~ c3_1(a1457)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f1212]) ).

fof(f1796,plain,
    ( spl0_160
    | ~ spl0_48
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1456,f602,f346,f406,f1018]) ).

fof(f1018,plain,
    ( spl0_160
  <=> c1_1(a1429) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f346,plain,
    ( spl0_35
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1456,plain,
    ( ~ c2_1(a1429)
    | c1_1(a1429)
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(resolution,[],[f604,f347]) ).

fof(f347,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f1794,plain,
    ( spl0_44
    | spl0_185
    | ~ spl0_27
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1768,f849,f314,f1672,f387]) ).

fof(f387,plain,
    ( spl0_44
  <=> c1_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1672,plain,
    ( spl0_185
  <=> c2_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f849,plain,
    ( spl0_133
  <=> c0_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1768,plain,
    ( c2_1(a1445)
    | c1_1(a1445)
    | ~ spl0_27
    | ~ spl0_133 ),
    inference(resolution,[],[f315,f851]) ).

fof(f851,plain,
    ( c0_1(a1445)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f315,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f1793,plain,
    ( spl0_53
    | ~ spl0_123
    | ~ spl0_63
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1783,f493,f480,f795,f434]) ).

fof(f434,plain,
    ( spl0_53
  <=> c1_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f795,plain,
    ( spl0_123
  <=> c0_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f480,plain,
    ( spl0_63
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f493,plain,
    ( spl0_66
  <=> c2_1(a1466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1783,plain,
    ( ~ c0_1(a1466)
    | c1_1(a1466)
    | ~ spl0_63
    | ~ spl0_66 ),
    inference(resolution,[],[f481,f495]) ).

fof(f495,plain,
    ( c2_1(a1466)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f481,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1791,plain,
    ( ~ spl0_133
    | spl0_44
    | ~ spl0_63
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f1787,f1672,f480,f387,f849]) ).

fof(f1787,plain,
    ( c1_1(a1445)
    | ~ c0_1(a1445)
    | ~ spl0_63
    | ~ spl0_185 ),
    inference(resolution,[],[f481,f1674]) ).

fof(f1674,plain,
    ( c2_1(a1445)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1672]) ).

fof(f1755,plain,
    ( ~ spl0_144
    | spl0_145
    | ~ spl0_7
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1754,f1353,f229,f922,f917]) ).

fof(f229,plain,
    ( spl0_7
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1754,plain,
    ( c3_1(a1427)
    | ~ c0_1(a1427)
    | ~ spl0_7
    | ~ spl0_176 ),
    inference(resolution,[],[f1355,f230]) ).

fof(f230,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f1355,plain,
    ( c1_1(a1427)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1353]) ).

fof(f1746,plain,
    ( spl0_127
    | spl0_85
    | ~ spl0_77
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1736,f1134,f546,f592,f817]) ).

fof(f1736,plain,
    ( c0_1(a1438)
    | c1_1(a1438)
    | ~ spl0_77
    | spl0_167 ),
    inference(resolution,[],[f547,f1136]) ).

fof(f1136,plain,
    ( ~ c2_1(a1438)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1724,plain,
    ( spl0_113
    | spl0_156
    | ~ spl0_75
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1717,f1212,f537,f986,f737]) ).

fof(f537,plain,
    ( spl0_75
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1717,plain,
    ( c2_1(a1457)
    | c1_1(a1457)
    | ~ spl0_75
    | ~ spl0_173 ),
    inference(resolution,[],[f538,f1214]) ).

fof(f1214,plain,
    ( c3_1(a1457)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1212]) ).

fof(f538,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1723,plain,
    ( spl0_98
    | spl0_181
    | ~ spl0_75
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1715,f743,f537,f1545,f658]) ).

fof(f658,plain,
    ( spl0_98
  <=> c2_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1545,plain,
    ( spl0_181
  <=> c1_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f743,plain,
    ( spl0_114
  <=> c3_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1715,plain,
    ( c1_1(a1430)
    | c2_1(a1430)
    | ~ spl0_75
    | ~ spl0_114 ),
    inference(resolution,[],[f538,f745]) ).

fof(f745,plain,
    ( c3_1(a1430)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f1722,plain,
    ( spl0_28
    | spl0_164
    | ~ spl0_75
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1713,f748,f537,f1083,f318]) ).

fof(f1083,plain,
    ( spl0_164
  <=> c1_1(a1448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1713,plain,
    ( c1_1(a1448)
    | c2_1(a1448)
    | ~ spl0_75
    | ~ spl0_115 ),
    inference(resolution,[],[f538,f750]) ).

fof(f1718,plain,
    ( spl0_167
    | spl0_127
    | ~ spl0_75
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1714,f710,f537,f817,f1134]) ).

fof(f1714,plain,
    ( c1_1(a1438)
    | c2_1(a1438)
    | ~ spl0_75
    | ~ spl0_108 ),
    inference(resolution,[],[f538,f712]) ).

fof(f1700,plain,
    ( spl0_94
    | ~ spl0_121
    | ~ spl0_59
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1696,f507,f462,f783,f637]) ).

fof(f637,plain,
    ( spl0_94
  <=> c2_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f783,plain,
    ( spl0_121
  <=> c1_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f462,plain,
    ( spl0_59
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f507,plain,
    ( spl0_69
  <=> c3_1(a1434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1696,plain,
    ( ~ c1_1(a1434)
    | c2_1(a1434)
    | ~ spl0_59
    | ~ spl0_69 ),
    inference(resolution,[],[f463,f509]) ).

fof(f509,plain,
    ( c3_1(a1434)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f463,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1675,plain,
    ( spl0_185
    | spl0_149
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1668,f849,f288,f942,f1672]) ).

fof(f942,plain,
    ( spl0_149
  <=> c3_1(a1445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1668,plain,
    ( c3_1(a1445)
    | c2_1(a1445)
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(resolution,[],[f851,f289]) ).

fof(f1670,plain,
    ( spl0_149
    | spl0_44
    | ~ spl0_81
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1669,f849,f569,f387,f942]) ).

fof(f1669,plain,
    ( c1_1(a1445)
    | c3_1(a1445)
    | ~ spl0_81
    | ~ spl0_133 ),
    inference(resolution,[],[f851,f570]) ).

fof(f1634,plain,
    ( spl0_143
    | ~ spl0_181
    | ~ spl0_11
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1631,f743,f246,f1545,f912]) ).

fof(f912,plain,
    ( spl0_143
  <=> c0_1(a1430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1631,plain,
    ( ~ c1_1(a1430)
    | c0_1(a1430)
    | ~ spl0_11
    | ~ spl0_114 ),
    inference(resolution,[],[f247,f745]) ).

fof(f1595,plain,
    ( spl0_134
    | ~ spl0_175
    | ~ spl0_26
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1517,f812,f311,f1348,f854]) ).

fof(f812,plain,
    ( spl0_126
  <=> c2_1(a1451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1517,plain,
    ( ~ c0_1(a1451)
    | c3_1(a1451)
    | ~ spl0_26
    | ~ spl0_126 ),
    inference(resolution,[],[f312,f814]) ).

fof(f814,plain,
    ( c2_1(a1451)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f1594,plain,
    ( spl0_37
    | spl0_43
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1576,f937,f349,f382,f353]) ).

fof(f353,plain,
    ( spl0_37
  <=> c0_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f382,plain,
    ( spl0_43
  <=> c1_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f349,plain,
    ( spl0_36
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f937,plain,
    ( spl0_148
  <=> c2_1(a1477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1576,plain,
    ( c1_1(a1477)
    | c0_1(a1477)
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(resolution,[],[f350,f939]) ).

fof(f939,plain,
    ( c2_1(a1477)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f350,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f1592,plain,
    ( spl0_140
    | spl0_175
    | ~ spl0_36
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1580,f812,f349,f1348,f892]) ).

fof(f1580,plain,
    ( c0_1(a1451)
    | c1_1(a1451)
    | ~ spl0_36
    | ~ spl0_126 ),
    inference(resolution,[],[f350,f814]) ).

fof(f1591,plain,
    ( spl0_127
    | spl0_85
    | ~ spl0_36
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1583,f1134,f349,f592,f817]) ).

fof(f1583,plain,
    ( c0_1(a1438)
    | c1_1(a1438)
    | ~ spl0_36
    | ~ spl0_167 ),
    inference(resolution,[],[f350,f1135]) ).

fof(f1135,plain,
    ( c2_1(a1438)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1589,plain,
    ( spl0_105
    | spl0_182
    | ~ spl0_36
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1574,f991,f349,f1586,f696]) ).

fof(f1574,plain,
    ( c1_1(a1517)
    | c0_1(a1517)
    | ~ spl0_36
    | ~ spl0_157 ),
    inference(resolution,[],[f350,f993]) ).

fof(f1570,plain,
    ( ~ spl0_48
    | ~ spl0_160
    | ~ spl0_34
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1567,f602,f342,f1018,f406]) ).

fof(f342,plain,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1567,plain,
    ( ~ c1_1(a1429)
    | ~ c2_1(a1429)
    | ~ spl0_34
    | ~ spl0_87 ),
    inference(resolution,[],[f343,f604]) ).

fof(f343,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f1499,plain,
    ( ~ spl0_146
    | ~ spl0_112
    | ~ spl0_20
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1487,f439,f285,f732,f927]) ).

fof(f927,plain,
    ( spl0_146
  <=> c0_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f732,plain,
    ( spl0_112
  <=> c2_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f439,plain,
    ( spl0_54
  <=> c3_1(a1428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1487,plain,
    ( ~ c2_1(a1428)
    | ~ c0_1(a1428)
    | ~ spl0_20
    | ~ spl0_54 ),
    inference(resolution,[],[f286,f441]) ).

fof(f441,plain,
    ( c3_1(a1428)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1442,plain,
    ( ~ spl0_141
    | spl0_84
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1441,f663,f346,f587,f898]) ).

fof(f1441,plain,
    ( c1_1(a1465)
    | ~ c2_1(a1465)
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(resolution,[],[f665,f347]) ).

fof(f1431,plain,
    ( spl0_51
    | spl0_171
    | ~ spl0_75
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1383,f932,f537,f1171,f424]) ).

fof(f424,plain,
    ( spl0_51
  <=> c1_1(a1441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1383,plain,
    ( c2_1(a1441)
    | c1_1(a1441)
    | ~ spl0_75
    | ~ spl0_147 ),
    inference(resolution,[],[f538,f934]) ).

fof(f1418,plain,
    ( spl0_165
    | spl0_38
    | ~ spl0_81
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1412,f642,f569,f358,f1088]) ).

fof(f642,plain,
    ( spl0_95
  <=> c0_1(a1435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1412,plain,
    ( c3_1(a1435)
    | c1_1(a1435)
    | ~ spl0_81
    | ~ spl0_95 ),
    inference(resolution,[],[f570,f644]) ).

fof(f644,plain,
    ( c0_1(a1435)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f1417,plain,
    ( spl0_176
    | spl0_145
    | ~ spl0_81
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1414,f917,f569,f922,f1353]) ).

fof(f1414,plain,
    ( c3_1(a1427)
    | c1_1(a1427)
    | ~ spl0_81
    | ~ spl0_144 ),
    inference(resolution,[],[f570,f919]) ).

fof(f919,plain,
    ( c0_1(a1427)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f1372,plain,
    ( ~ spl0_144
    | ~ spl0_176
    | ~ spl0_74
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1367,f859,f534,f1353,f917]) ).

fof(f1367,plain,
    ( ~ c1_1(a1427)
    | ~ c0_1(a1427)
    | ~ spl0_74
    | ~ spl0_135 ),
    inference(resolution,[],[f535,f861]) ).

fof(f1356,plain,
    ( ~ spl0_144
    | spl0_176
    | ~ spl0_63
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1343,f859,f480,f1353,f917]) ).

fof(f1343,plain,
    ( c1_1(a1427)
    | ~ c0_1(a1427)
    | ~ spl0_63
    | ~ spl0_135 ),
    inference(resolution,[],[f481,f861]) ).

fof(f1351,plain,
    ( ~ spl0_175
    | spl0_140
    | ~ spl0_63
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1339,f812,f480,f892,f1348]) ).

fof(f1339,plain,
    ( c1_1(a1451)
    | ~ c0_1(a1451)
    | ~ spl0_63
    | ~ spl0_126 ),
    inference(resolution,[],[f481,f814]) ).

fof(f1329,plain,
    ( spl0_138
    | ~ spl0_103
    | ~ spl0_59
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1315,f1195,f462,f685,f881]) ).

fof(f1315,plain,
    ( ~ c1_1(a1458)
    | c2_1(a1458)
    | ~ spl0_59
    | ~ spl0_172 ),
    inference(resolution,[],[f463,f1197]) ).

fof(f1326,plain,
    ( ~ spl0_164
    | spl0_28
    | ~ spl0_59
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1317,f748,f462,f318,f1083]) ).

fof(f1317,plain,
    ( c2_1(a1448)
    | ~ c1_1(a1448)
    | ~ spl0_59
    | ~ spl0_115 ),
    inference(resolution,[],[f463,f750]) ).

fof(f1304,plain,
    ( spl0_41
    | ~ spl0_130
    | ~ spl0_57
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1290,f951,f452,f832,f373]) ).

fof(f373,plain,
    ( spl0_41
  <=> c0_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f832,plain,
    ( spl0_130
  <=> c1_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f951,plain,
    ( spl0_150
  <=> c2_1(a1504) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1290,plain,
    ( ~ c1_1(a1504)
    | c0_1(a1504)
    | ~ spl0_57
    | ~ spl0_150 ),
    inference(resolution,[],[f453,f953]) ).

fof(f953,plain,
    ( c2_1(a1504)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f1301,plain,
    ( ~ spl0_120
    | spl0_158
    | ~ spl0_57
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1293,f557,f452,f1003,f778]) ).

fof(f1293,plain,
    ( c0_1(a1449)
    | ~ c1_1(a1449)
    | ~ spl0_57
    | ~ spl0_79 ),
    inference(resolution,[],[f453,f559]) ).

fof(f1234,plain,
    ( spl0_51
    | spl0_171
    | ~ spl0_27
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1227,f773,f314,f1171,f424]) ).

fof(f1227,plain,
    ( c2_1(a1441)
    | c1_1(a1441)
    | ~ spl0_27
    | ~ spl0_119 ),
    inference(resolution,[],[f315,f775]) ).

fof(f775,plain,
    ( c0_1(a1441)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f1217,plain,
    ( spl0_122
    | spl0_110
    | ~ spl0_21
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1210,f1106,f288,f722,f790]) ).

fof(f790,plain,
    ( spl0_122
  <=> c2_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f722,plain,
    ( spl0_110
  <=> c3_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1106,plain,
    ( spl0_166
  <=> c0_1(a1444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1210,plain,
    ( c3_1(a1444)
    | c2_1(a1444)
    | ~ spl0_21
    | ~ spl0_166 ),
    inference(resolution,[],[f289,f1108]) ).

fof(f1108,plain,
    ( c0_1(a1444)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1198,plain,
    ( spl0_172
    | ~ spl0_22
    | ~ spl0_7
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1193,f685,f229,f292,f1195]) ).

fof(f1193,plain,
    ( ~ c0_1(a1458)
    | c3_1(a1458)
    | ~ spl0_7
    | ~ spl0_103 ),
    inference(resolution,[],[f687,f230]) ).

fof(f1192,plain,
    ( spl0_92
    | ~ spl0_72
    | ~ spl0_11
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1185,f972,f246,f522,f626]) ).

fof(f626,plain,
    ( spl0_92
  <=> c0_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f522,plain,
    ( spl0_72
  <=> c1_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f972,plain,
    ( spl0_154
  <=> c3_1(a1468) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1185,plain,
    ( ~ c1_1(a1468)
    | c0_1(a1468)
    | ~ spl0_11
    | ~ spl0_154 ),
    inference(resolution,[],[f247,f974]) ).

fof(f974,plain,
    ( c3_1(a1468)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f1174,plain,
    ( spl0_51
    | ~ spl0_171
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1169,f932,f346,f1171,f424]) ).

fof(f1169,plain,
    ( ~ c2_1(a1441)
    | c1_1(a1441)
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(resolution,[],[f934,f347]) ).

fof(f1148,plain,
    ( spl0_39
    | spl0_91
    | ~ spl0_36
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1141,f1030,f349,f620,f363]) ).

fof(f363,plain,
    ( spl0_39
  <=> c0_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f620,plain,
    ( spl0_91
  <=> c1_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1030,plain,
    ( spl0_161
  <=> c2_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1141,plain,
    ( c1_1(a1460)
    | c0_1(a1460)
    | ~ spl0_36
    | ~ spl0_161 ),
    inference(resolution,[],[f350,f1032]) ).

fof(f1032,plain,
    ( c2_1(a1460)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1137,plain,
    ( ~ spl0_167
    | spl0_127
    | ~ spl0_35
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1131,f710,f346,f817,f1134]) ).

fof(f1131,plain,
    ( c1_1(a1438)
    | ~ c2_1(a1438)
    | ~ spl0_35
    | ~ spl0_108 ),
    inference(resolution,[],[f347,f712]) ).

fof(f1125,plain,
    ( ~ spl0_118
    | ~ spl0_61
    | ~ spl0_34
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1119,f674,f342,f470,f765]) ).

fof(f765,plain,
    ( spl0_118
  <=> c2_1(a1483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1119,plain,
    ( ~ c1_1(a1483)
    | ~ c2_1(a1483)
    | ~ spl0_34
    | ~ spl0_101 ),
    inference(resolution,[],[f343,f676]) ).

fof(f1116,plain,
    ( spl0_165
    | spl0_132
    | ~ spl0_33
    | spl0_38 ),
    inference(avatar_split_clause,[],[f1112,f358,f339,f844,f1088]) ).

fof(f1112,plain,
    ( c2_1(a1435)
    | c1_1(a1435)
    | ~ spl0_33
    | spl0_38 ),
    inference(resolution,[],[f340,f360]) ).

fof(f360,plain,
    ( ~ c3_1(a1435)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f1109,plain,
    ( spl0_122
    | spl0_166
    | ~ spl0_17
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1104,f722,f272,f1106,f790]) ).

fof(f1104,plain,
    ( c0_1(a1444)
    | c2_1(a1444)
    | ~ spl0_17
    | spl0_110 ),
    inference(resolution,[],[f724,f273]) ).

fof(f724,plain,
    ( ~ c3_1(a1444)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f1102,plain,
    ( spl0_102
    | spl0_158
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1097,f557,f332,f1003,f679]) ).

fof(f332,plain,
    ( spl0_31
  <=> ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1097,plain,
    ( c0_1(a1449)
    | c3_1(a1449)
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(resolution,[],[f333,f559]) ).

fof(f333,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f1095,plain,
    ( ~ spl0_95
    | spl0_38
    | ~ spl0_7
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1094,f1088,f229,f358,f642]) ).

fof(f1094,plain,
    ( c3_1(a1435)
    | ~ c0_1(a1435)
    | ~ spl0_7
    | ~ spl0_165 ),
    inference(resolution,[],[f1090,f230]) ).

fof(f1076,plain,
    ( spl0_132
    | spl0_38
    | ~ spl0_21
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1075,f642,f288,f358,f844]) ).

fof(f1075,plain,
    ( c3_1(a1435)
    | c2_1(a1435)
    | ~ spl0_21
    | ~ spl0_95 ),
    inference(resolution,[],[f644,f289]) ).

fof(f1072,plain,
    ( spl0_50
    | ~ spl0_17
    | ~ spl0_32
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1071,f986,f335,f272,f418]) ).

fof(f335,plain,
    ( spl0_32
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1071,plain,
    ( c0_1(a1457)
    | ~ spl0_17
    | ~ spl0_32
    | spl0_156 ),
    inference(resolution,[],[f1059,f988]) ).

fof(f1059,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1053]) ).

fof(f1053,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(resolution,[],[f336,f273]) ).

fof(f336,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f1033,plain,
    ( spl0_39
    | spl0_161
    | ~ spl0_17
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1024,f980,f272,f1030,f363]) ).

fof(f980,plain,
    ( spl0_155
  <=> c3_1(a1460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1024,plain,
    ( c2_1(a1460)
    | c0_1(a1460)
    | ~ spl0_17
    | spl0_155 ),
    inference(resolution,[],[f273,f982]) ).

fof(f982,plain,
    ( ~ c3_1(a1460)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f1027,plain,
    ( spl0_49
    | spl0_88
    | ~ spl0_17
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1025,f800,f272,f607,f413]) ).

fof(f1025,plain,
    ( c0_1(a1447)
    | c2_1(a1447)
    | ~ spl0_17
    | spl0_124 ),
    inference(resolution,[],[f273,f802]) ).

fof(f802,plain,
    ( ~ c3_1(a1447)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f1021,plain,
    ( spl0_80
    | ~ spl0_160
    | ~ spl0_11
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1011,f602,f246,f1018,f563]) ).

fof(f1011,plain,
    ( ~ c1_1(a1429)
    | c0_1(a1429)
    | ~ spl0_11
    | ~ spl0_87 ),
    inference(resolution,[],[f247,f604]) ).

fof(f1016,plain,
    ( ~ spl0_61
    | spl0_159
    | ~ spl0_11
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1007,f674,f246,f1013,f470]) ).

fof(f1007,plain,
    ( c0_1(a1483)
    | ~ c1_1(a1483)
    | ~ spl0_11
    | ~ spl0_101 ),
    inference(resolution,[],[f247,f676]) ).

fof(f1006,plain,
    ( spl0_102
    | ~ spl0_158
    | ~ spl0_7
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1001,f778,f229,f1003,f679]) ).

fof(f1001,plain,
    ( ~ c0_1(a1449)
    | c3_1(a1449)
    | ~ spl0_7
    | ~ spl0_120 ),
    inference(resolution,[],[f780,f230]) ).

fof(f780,plain,
    ( c1_1(a1449)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f1000,plain,
    ( ~ spl0_71
    | spl0_116
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f997,f306,f229,f753,f517]) ).

fof(f997,plain,
    ( c3_1(a1452)
    | ~ c0_1(a1452)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(resolution,[],[f230,f308]) ).

fof(f308,plain,
    ( c1_1(a1452)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f995,plain,
    ( spl0_8
    | ~ spl0_2
    | spl0_104
    | spl0_75 ),
    inference(avatar_split_clause,[],[f176,f537,f690,f206,f232]) ).

fof(f232,plain,
    ( spl0_8
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f206,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f176,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f994,plain,
    ( ~ spl0_1
    | spl0_157 ),
    inference(avatar_split_clause,[],[f53,f991,f202]) ).

fof(f202,plain,
    ( spl0_1
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f53,axiom,
    ( c2_1(a1517)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f989,plain,
    ( ~ spl0_156
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f104,f396,f986]) ).

fof(f396,plain,
    ( spl0_46
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f104,axiom,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f983,plain,
    ( ~ spl0_155
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f100,f242,f980]) ).

fof(f242,plain,
    ( spl0_10
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f100,axiom,
    ( ~ hskp19
    | ~ c3_1(a1460) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f975,plain,
    ( spl0_154
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f59,f232,f972]) ).

fof(f59,axiom,
    ( ~ hskp22
    | c3_1(a1468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f970,plain,
    ( spl0_2
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f18,f448,f206]) ).

fof(f448,plain,
    ( spl0_56
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f18,axiom,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f969,plain,
    ( spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f13,f242,f206]) ).

fof(f13,axiom,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f954,plain,
    ( ~ spl0_42
    | spl0_150 ),
    inference(avatar_split_clause,[],[f55,f951,f377]) ).

fof(f377,plain,
    ( spl0_42
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f55,axiom,
    ( c2_1(a1504)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f949,plain,
    ( ~ spl0_2
    | spl0_46
    | spl0_63
    | spl0_33 ),
    inference(avatar_split_clause,[],[f163,f339,f480,f396,f206]) ).

fof(f163,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | c2_1(X1)
      | hskp17
      | c1_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f947,plain,
    ( spl0_60
    | spl0_21
    | spl0_77
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f157,f206,f546,f288,f465]) ).

fof(f465,plain,
    ( spl0_60
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | ~ c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | hskp0
      | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f945,plain,
    ( ~ spl0_45
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f116,f942,f391]) ).

fof(f391,plain,
    ( spl0_45
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f116,axiom,
    ( ~ c3_1(a1445)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f940,plain,
    ( ~ spl0_29
    | spl0_148 ),
    inference(avatar_split_clause,[],[f57,f937,f323]) ).

fof(f323,plain,
    ( spl0_29
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f57,axiom,
    ( c2_1(a1477)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f935,plain,
    ( spl0_147
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f76,f264,f932]) ).

fof(f264,plain,
    ( spl0_15
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f76,axiom,
    ( ~ hskp8
    | c3_1(a1441) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f930,plain,
    ( spl0_146
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f50,f443,f927]) ).

fof(f443,plain,
    ( spl0_55
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f50,axiom,
    ( ~ hskp27
    | c0_1(a1428) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f925,plain,
    ( ~ spl0_145
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f133,f465,f922]) ).

fof(f133,axiom,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f920,plain,
    ( spl0_144
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f86,f465,f917]) ).

fof(f86,axiom,
    ( ~ hskp0
    | c0_1(a1427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f915,plain,
    ( ~ spl0_76
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f130,f912,f542]) ).

fof(f542,plain,
    ( spl0_76
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f130,axiom,
    ( ~ c0_1(a1430)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f904,plain,
    ( ~ spl0_2
    | spl0_60
    | spl0_40
    | spl0_36 ),
    inference(avatar_split_clause,[],[f136,f349,f368,f465,f206]) ).

fof(f368,plain,
    ( spl0_40
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f136,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | hskp4
      | hskp0
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f903,plain,
    ( spl0_18
    | spl0_104
    | spl0_83
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f167,f206,f582,f690,f276]) ).

fof(f276,plain,
    ( spl0_18
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c1_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | hskp5
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f901,plain,
    ( spl0_141
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f62,f401,f898]) ).

fof(f401,plain,
    ( spl0_47
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f62,axiom,
    ( ~ hskp20
    | c2_1(a1465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f895,plain,
    ( ~ spl0_56
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f108,f892,f448]) ).

fof(f108,axiom,
    ( ~ c1_1(a1451)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f890,plain,
    ( spl0_4
    | spl0_26
    | spl0_19
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f152,f206,f281,f311,f215]) ).

fof(f215,plain,
    ( spl0_4
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f281,plain,
    ( spl0_19
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | hskp11
      | c3_1(X0)
      | ~ c2_1(X0)
      | hskp12
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f884,plain,
    ( ~ spl0_138
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f101,f296,f881]) ).

fof(f296,plain,
    ( spl0_23
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f101,axiom,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f874,plain,
    ( ~ spl0_2
    | spl0_46
    | spl0_18
    | spl0_104 ),
    inference(avatar_split_clause,[],[f149,f690,f276,f396,f206]) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp5
      | hskp17
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f870,plain,
    ( spl0_16
    | spl0_59
    | spl0_90
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f177,f206,f615,f462,f268]) ).

fof(f268,plain,
    ( spl0_16
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c2_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | hskp7
      | c3_1(X1)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f868,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_81
    | spl0_86 ),
    inference(avatar_split_clause,[],[f171,f597,f569,f215,f206]) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | hskp12
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f862,plain,
    ( ~ spl0_60
    | spl0_135 ),
    inference(avatar_split_clause,[],[f87,f859,f465]) ).

fof(f87,axiom,
    ( c2_1(a1427)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f857,plain,
    ( ~ spl0_134
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f109,f448,f854]) ).

fof(f109,axiom,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f852,plain,
    ( ~ spl0_45
    | spl0_133 ),
    inference(avatar_split_clause,[],[f74,f849,f391]) ).

fof(f74,axiom,
    ( c0_1(a1445)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f847,plain,
    ( ~ spl0_132
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f125,f276,f844]) ).

fof(f125,axiom,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f842,plain,
    ( ~ spl0_2
    | spl0_16
    | spl0_57
    | spl0_81 ),
    inference(avatar_split_clause,[],[f170,f569,f452,f268,f206]) ).

fof(f170,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c1_1(X1)
      | c3_1(X0)
      | hskp7
      | ~ c0_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f835,plain,
    ( spl0_130
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f54,f377,f832]) ).

fof(f54,axiom,
    ( ~ hskp25
    | c1_1(a1504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f830,plain,
    ( ~ spl0_129
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f129,f225,f827]) ).

fof(f225,plain,
    ( spl0_6
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f129,axiom,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f820,plain,
    ( ~ spl0_127
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f122,f268,f817]) ).

fof(f122,axiom,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f815,plain,
    ( ~ spl0_56
    | spl0_126 ),
    inference(avatar_split_clause,[],[f69,f812,f448]) ).

fof(f69,axiom,
    ( c2_1(a1451)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f804,plain,
    ( spl0_15
    | spl0_4
    | spl0_56 ),
    inference(avatar_split_clause,[],[f36,f448,f215,f264]) ).

fof(f36,axiom,
    ( hskp14
    | hskp12
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f803,plain,
    ( ~ spl0_19
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f114,f800,f281]) ).

fof(f114,axiom,
    ( ~ c3_1(a1447)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f798,plain,
    ( ~ spl0_52
    | spl0_123 ),
    inference(avatar_split_clause,[],[f60,f795,f429]) ).

fof(f429,plain,
    ( spl0_52
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f60,axiom,
    ( c0_1(a1466)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f793,plain,
    ( ~ spl0_122
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f118,f328,f790]) ).

fof(f328,plain,
    ( spl0_30
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f118,axiom,
    ( ~ hskp9
    | ~ c2_1(a1444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f786,plain,
    ( spl0_121
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f80,f368,f783]) ).

fof(f80,axiom,
    ( ~ hskp4
    | c1_1(a1434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f781,plain,
    ( spl0_120
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f70,f529,f778]) ).

fof(f529,plain,
    ( spl0_73
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f70,axiom,
    ( ~ hskp13
    | c1_1(a1449) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f776,plain,
    ( ~ spl0_15
    | spl0_119 ),
    inference(avatar_split_clause,[],[f75,f773,f264]) ).

fof(f75,axiom,
    ( c0_1(a1441)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f771,plain,
    ( spl0_76
    | spl0_42
    | spl0_46 ),
    inference(avatar_split_clause,[],[f39,f396,f377,f542]) ).

fof(f39,axiom,
    ( hskp17
    | hskp25
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f770,plain,
    ( spl0_90
    | ~ spl0_2
    | spl0_4
    | spl0_78 ),
    inference(avatar_split_clause,[],[f178,f550,f215,f206,f615]) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | hskp12
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f768,plain,
    ( spl0_118
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f45,f474,f765]) ).

fof(f474,plain,
    ( spl0_62
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f45,axiom,
    ( ~ hskp29
    | c2_1(a1483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f762,plain,
    ( ~ spl0_2
    | spl0_57
    | spl0_24
    | spl0_86 ),
    inference(avatar_split_clause,[],[f180,f597,f302,f452,f206]) ).

fof(f302,plain,
    ( spl0_24
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

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

fof(f756,plain,
    ( ~ spl0_116
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f107,f302,f753]) ).

fof(f107,axiom,
    ( ~ hskp15
    | ~ c3_1(a1452) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f751,plain,
    ( spl0_115
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f73,f215,f748]) ).

fof(f73,axiom,
    ( ~ hskp12
    | c3_1(a1448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f746,plain,
    ( spl0_114
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f83,f542,f743]) ).

fof(f83,axiom,
    ( ~ hskp2
    | c3_1(a1430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f741,plain,
    ( spl0_15
    | spl0_7
    | ~ spl0_2
    | spl0_35 ),
    inference(avatar_split_clause,[],[f186,f346,f206,f229,f264]) ).

fof(f186,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | c3_1(X0)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f740,plain,
    ( ~ spl0_46
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f103,f737,f396]) ).

fof(f103,axiom,
    ( ~ c1_1(a1457)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f735,plain,
    ( spl0_112
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f51,f443,f732]) ).

fof(f51,axiom,
    ( ~ hskp27
    | c2_1(a1428) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f730,plain,
    ( spl0_111
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f82,f225,f727]) ).

fof(f82,axiom,
    ( ~ hskp3
    | c1_1(a1431) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f725,plain,
    ( ~ spl0_110
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f119,f328,f722]) ).

fof(f119,axiom,
    ( ~ hskp9
    | ~ c3_1(a1444) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f720,plain,
    ( ~ spl0_2
    | spl0_30
    | spl0_8
    | spl0_75 ),
    inference(avatar_split_clause,[],[f140,f537,f232,f328,f206]) ).

fof(f140,axiom,
    ! [X0] :
      ( c1_1(X0)
      | ~ c3_1(X0)
      | hskp22
      | hskp9
      | c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f719,plain,
    ( ~ spl0_2
    | spl0_36
    | spl0_104
    | spl0_11 ),
    inference(avatar_split_clause,[],[f197,f246,f690,f349,f206]) ).

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

fof(f713,plain,
    ( spl0_108
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f77,f268,f710]) ).

fof(f77,axiom,
    ( ~ hskp7
    | c3_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f700,plain,
    ( spl0_60
    | spl0_62
    | spl0_1 ),
    inference(avatar_split_clause,[],[f35,f202,f474,f465]) ).

fof(f35,axiom,
    ( hskp26
    | hskp29
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f699,plain,
    ( ~ spl0_105
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f88,f202,f696]) ).

fof(f88,axiom,
    ( ~ hskp26
    | ~ c0_1(a1517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f694,plain,
    ( ~ spl0_2
    | spl0_34
    | spl0_55
    | spl0_77 ),
    inference(avatar_split_clause,[],[f165,f546,f443,f342,f206]) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( c0_1(X1)
      | hskp27
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | ~ c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f693,plain,
    ( ~ spl0_2
    | spl0_60
    | spl0_42
    | spl0_96 ),
    inference(avatar_split_clause,[],[f154,f648,f377,f465,f206]) ).

fof(f154,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | hskp25
      | ~ c1_1(X0)
      | hskp0
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f692,plain,
    ( spl0_46
    | spl0_11
    | spl0_104
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f182,f206,f690,f246,f396]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f688,plain,
    ( ~ spl0_23
    | spl0_103 ),
    inference(avatar_split_clause,[],[f65,f685,f296]) ).

fof(f65,axiom,
    ( c1_1(a1458)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f682,plain,
    ( ~ spl0_73
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f110,f679,f529]) ).

fof(f110,axiom,
    ( ~ c3_1(a1449)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f677,plain,
    ( ~ spl0_62
    | spl0_101 ),
    inference(avatar_split_clause,[],[f46,f674,f474]) ).

fof(f46,axiom,
    ( c3_1(a1483)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f672,plain,
    ( ~ spl0_6
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f128,f669,f225]) ).

fof(f128,axiom,
    ( ~ c0_1(a1431)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f666,plain,
    ( spl0_99
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f63,f401,f663]) ).

fof(f63,axiom,
    ( ~ hskp20
    | c3_1(a1465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f661,plain,
    ( ~ spl0_76
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f131,f658,f542]) ).

fof(f131,axiom,
    ( ~ c2_1(a1430)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f646,plain,
    ( spl0_29
    | ~ spl0_2
    | spl0_26
    | spl0_35 ),
    inference(avatar_split_clause,[],[f187,f346,f311,f206,f323]) ).

fof(f187,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | hskp23
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f645,plain,
    ( spl0_95
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f79,f276,f642]) ).

fof(f79,axiom,
    ( ~ hskp5
    | c0_1(a1435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f640,plain,
    ( ~ spl0_40
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f127,f637,f368]) ).

fof(f127,axiom,
    ( ~ c2_1(a1434)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f635,plain,
    ( spl0_18
    | spl0_19
    | spl0_32
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f138,f206,f335,f281,f276]) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | hskp11
      | c2_1(X0)
      | ~ c3_1(X0)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f629,plain,
    ( ~ spl0_8
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f95,f626,f232]) ).

fof(f95,axiom,
    ( ~ c0_1(a1468)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f624,plain,
    ( ~ spl0_2
    | spl0_20
    | spl0_75
    | spl0_7 ),
    inference(avatar_split_clause,[],[f200,f229,f537,f285,f206]) ).

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

fof(f623,plain,
    ( ~ spl0_10
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f99,f620,f242]) ).

fof(f99,axiom,
    ( ~ c1_1(a1460)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f610,plain,
    ( ~ spl0_19
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f112,f607,f281]) ).

fof(f112,axiom,
    ( ~ c0_1(a1447)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f605,plain,
    ( ~ spl0_14
    | spl0_87 ),
    inference(avatar_split_clause,[],[f85,f602,f259]) ).

fof(f259,plain,
    ( spl0_14
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f85,axiom,
    ( c3_1(a1429)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f599,plain,
    ( ~ spl0_2
    | spl0_86
    | spl0_59
    | spl0_4 ),
    inference(avatar_split_clause,[],[f183,f215,f462,f597,f206]) ).

fof(f183,axiom,
    ! [X0,X1] :
      ( hskp12
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f595,plain,
    ( ~ spl0_85
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f121,f268,f592]) ).

fof(f121,axiom,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f590,plain,
    ( ~ spl0_84
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f97,f401,f587]) ).

fof(f97,axiom,
    ( ~ hskp20
    | ~ c1_1(a1465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f585,plain,
    ( spl0_60
    | spl0_11
    | ~ spl0_2
    | spl0_36 ),
    inference(avatar_split_clause,[],[f166,f349,f206,f246,f465]) ).

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

fof(f580,plain,
    ( spl0_4
    | spl0_45
    | spl0_14 ),
    inference(avatar_split_clause,[],[f38,f259,f391,f215]) ).

fof(f38,axiom,
    ( hskp1
    | hskp10
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f579,plain,
    ( spl0_40
    | ~ spl0_2
    | spl0_21
    | spl0_16 ),
    inference(avatar_split_clause,[],[f142,f268,f288,f206,f368]) ).

fof(f142,axiom,
    ! [X0] :
      ( hskp7
      | c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp4
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f571,plain,
    ( ~ spl0_2
    | spl0_81
    | spl0_63
    | spl0_77 ),
    inference(avatar_split_clause,[],[f194,f546,f480,f569,f206]) ).

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

fof(f567,plain,
    ( spl0_73
    | spl0_42
    | ~ spl0_2
    | spl0_34 ),
    inference(avatar_split_clause,[],[f155,f342,f206,f377,f529]) ).

fof(f155,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp25
      | hskp13
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f566,plain,
    ( ~ spl0_80
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f132,f259,f563]) ).

fof(f132,axiom,
    ( ~ hskp1
    | ~ c0_1(a1429) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f561,plain,
    ( spl0_20
    | spl0_23
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f190,f246,f206,f296,f285]) ).

fof(f190,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X1)
      | hskp18
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f560,plain,
    ( ~ spl0_73
    | spl0_79 ),
    inference(avatar_split_clause,[],[f71,f557,f529]) ).

fof(f71,axiom,
    ( c2_1(a1449)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f554,plain,
    ( spl0_56
    | spl0_15
    | spl0_10 ),
    inference(avatar_split_clause,[],[f37,f242,f264,f448]) ).

fof(f37,axiom,
    ( hskp19
    | hskp8
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f552,plain,
    ( spl0_29
    | ~ spl0_2
    | spl0_74
    | spl0_78 ),
    inference(avatar_split_clause,[],[f192,f550,f534,f206,f323]) ).

fof(f192,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | hskp23
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f548,plain,
    ( ~ spl0_2
    | spl0_76
    | spl0_14
    | spl0_77 ),
    inference(avatar_split_clause,[],[f134,f546,f259,f542,f206]) ).

fof(f134,axiom,
    ! [X0] :
      ( c2_1(X0)
      | c0_1(X0)
      | c1_1(X0)
      | hskp1
      | hskp2
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f539,plain,
    ( spl0_74
    | ~ spl0_2
    | spl0_75
    | spl0_35 ),
    inference(avatar_split_clause,[],[f199,f346,f537,f206,f534]) ).

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

fof(f532,plain,
    ( spl0_73
    | spl0_24
    | spl0_55 ),
    inference(avatar_split_clause,[],[f34,f443,f302,f529]) ).

fof(f34,axiom,
    ( hskp27
    | hskp15
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f525,plain,
    ( ~ spl0_8
    | spl0_72 ),
    inference(avatar_split_clause,[],[f58,f522,f232]) ).

fof(f58,axiom,
    ( c1_1(a1468)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f520,plain,
    ( ~ spl0_24
    | spl0_71 ),
    inference(avatar_split_clause,[],[f67,f517,f302]) ).

fof(f67,axiom,
    ( c0_1(a1452)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f510,plain,
    ( spl0_69
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f81,f368,f507]) ).

fof(f81,axiom,
    ( ~ hskp4
    | c3_1(a1434) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f496,plain,
    ( spl0_66
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f61,f429,f493]) ).

fof(f61,axiom,
    ( ~ hskp21
    | c2_1(a1466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f477,plain,
    ( spl0_61
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f44,f474,f470]) ).

fof(f44,axiom,
    ( ~ hskp29
    | c1_1(a1483) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f468,plain,
    ( ~ spl0_2
    | spl0_59
    | spl0_60
    | spl0_17 ),
    inference(avatar_split_clause,[],[f160,f272,f465,f462,f206]) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( c3_1(X1)
      | hskp0
      | c2_1(X1)
      | ~ c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f454,plain,
    ( ~ spl0_2
    | spl0_31
    | spl0_56
    | spl0_57 ),
    inference(avatar_split_clause,[],[f169,f452,f448,f332,f206]) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | hskp14
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f446,plain,
    ( spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f52,f443,f439]) ).

fof(f52,axiom,
    ( ~ hskp27
    | c3_1(a1428) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f437,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f96,f434,f429]) ).

fof(f96,axiom,
    ( ~ c1_1(a1466)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f432,plain,
    ( spl0_52
    | spl0_26
    | ~ spl0_2
    | spl0_27 ),
    inference(avatar_split_clause,[],[f174,f314,f206,f311,f429]) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp21
      | c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f427,plain,
    ( ~ spl0_51
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f120,f264,f424]) ).

fof(f120,axiom,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f422,plain,
    ( ~ spl0_15
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f206,f264]) ).

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

fof(f421,plain,
    ( ~ spl0_50
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f102,f396,f418]) ).

fof(f102,axiom,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f416,plain,
    ( ~ spl0_19
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f113,f413,f281]) ).

fof(f113,axiom,
    ( ~ c2_1(a1447)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f409,plain,
    ( ~ spl0_14
    | spl0_48 ),
    inference(avatar_split_clause,[],[f84,f406,f259]) ).

fof(f84,axiom,
    ( c2_1(a1429)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f404,plain,
    ( spl0_47
    | spl0_7
    | ~ spl0_2
    | spl0_27 ),
    inference(avatar_split_clause,[],[f173,f314,f206,f229,f401]) ).

fof(f173,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f399,plain,
    ( spl0_46
    | spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f40,f225,f232,f396]) ).

fof(f40,axiom,
    ( hskp3
    | hskp22
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f394,plain,
    ( ~ spl0_44
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f115,f391,f387]) ).

fof(f115,axiom,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f385,plain,
    ( ~ spl0_43
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f323,f382]) ).

fof(f94,axiom,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f380,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f90,f377,f373]) ).

fof(f90,axiom,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f366,plain,
    ( ~ spl0_10
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f98,f363,f242]) ).

fof(f98,axiom,
    ( ~ c0_1(a1460)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f361,plain,
    ( ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f126,f358,f276]) ).

fof(f126,axiom,
    ( ~ c3_1(a1435)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f356,plain,
    ( ~ spl0_37
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f93,f323,f353]) ).

fof(f93,axiom,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f351,plain,
    ( spl0_20
    | spl0_35
    | ~ spl0_2
    | spl0_36 ),
    inference(avatar_split_clause,[],[f198,f349,f206,f346,f285]) ).

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

fof(f321,plain,
    ( ~ spl0_4
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f111,f318,f215]) ).

fof(f111,axiom,
    ( ~ c2_1(a1448)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f309,plain,
    ( ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f68,f306,f302]) ).

fof(f68,axiom,
    ( c1_1(a1452)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f299,plain,
    ( spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f64,f296,f292]) ).

fof(f64,axiom,
    ( ~ hskp18
    | c0_1(a1458) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f274,plain,
    ( spl0_15
    | ~ spl0_2
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f135,f272,f268,f206,f264]) ).

fof(f135,axiom,
    ! [X0] :
      ( c3_1(X0)
      | hskp7
      | ~ ndr1_0
      | c2_1(X0)
      | hskp8
      | c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f235,plain,
    ( spl0_6
    | ~ spl0_2
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f150,f232,f229,f206,f225]) ).

fof(f150,axiom,
    ! [X0] :
      ( hskp22
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp3
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f218,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f72,f215,f211]) ).

fof(f72,axiom,
    ( ~ hskp12
    | c0_1(a1448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN479-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13  % 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 : n017.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 21:23:05 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.44  % (6075)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)
% 0.20/0.50  % (6099)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)
% 0.20/0.50  % (6083)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)
% 0.20/0.51  % (6073)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)
% 0.20/0.52  % (6100)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (6078)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)
% 0.20/0.53  % (6087)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)
% 0.20/0.53  % (6074)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)
% 0.20/0.53  % (6072)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)
% 0.20/0.53  % (6085)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (6096)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (6079)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (6086)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)
% 0.20/0.54  % (6091)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)
% 0.20/0.54  % (6081)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)
% 0.20/0.54  % (6089)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (6095)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)
% 0.20/0.54  % (6101)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)
% 0.20/0.55  % (6084)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (6097)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (6094)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)
% 0.20/0.55  % (6076)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (6080)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (6080)Instruction limit reached!
% 0.20/0.55  % (6080)------------------------------
% 0.20/0.55  % (6080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (6080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (6080)Termination reason: Unknown
% 0.20/0.55  % (6080)Termination phase: shuffling
% 0.20/0.55  
% 0.20/0.55  % (6080)Memory used [KB]: 1023
% 0.20/0.55  % (6080)Time elapsed: 0.002 s
% 0.20/0.55  % (6080)Instructions burned: 2 (million)
% 0.20/0.55  % (6080)------------------------------
% 0.20/0.55  % (6080)------------------------------
% 0.20/0.55  % (6079)Instruction limit reached!
% 0.20/0.55  % (6079)------------------------------
% 0.20/0.55  % (6079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (6079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (6079)Termination reason: Unknown
% 0.20/0.55  % (6079)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (6079)Memory used [KB]: 6012
% 0.20/0.55  % (6079)Time elapsed: 0.103 s
% 0.20/0.55  % (6079)Instructions burned: 7 (million)
% 0.20/0.55  % (6079)------------------------------
% 0.20/0.55  % (6079)------------------------------
% 0.20/0.55  % (6082)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (6093)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  Detected maximum model sizes of [31]
% 0.20/0.55  % (6077)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)
% 0.20/0.55  % (6092)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)
% 0.20/0.55  Detected maximum model sizes of [31]
% 0.20/0.55  % (6088)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)
% 0.20/0.56  % (6075)First to succeed.
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  % (6098)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)
% 0.20/0.56  TRYING [3]
% 0.20/0.56  TRYING [4]
% 0.20/0.56  Detected maximum model sizes of [31]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (6090)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57  TRYING [2]
% 0.20/0.57  % (6073)Refutation not found, incomplete strategy% (6073)------------------------------
% 0.20/0.57  % (6073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  TRYING [1]
% 0.20/0.57  TRYING [2]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  TRYING [4]
% 0.20/0.58  TRYING [4]
% 0.20/0.58  % (6075)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (6075)------------------------------
% 0.20/0.59  % (6075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (6075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (6075)Termination reason: Refutation
% 0.20/0.59  
% 0.20/0.59  % (6075)Memory used [KB]: 6780
% 0.20/0.59  % (6075)Time elapsed: 0.169 s
% 0.20/0.59  % (6075)Instructions burned: 48 (million)
% 0.20/0.59  % (6075)------------------------------
% 0.20/0.59  % (6075)------------------------------
% 0.20/0.59  % (6071)Success in time 0.237 s
%------------------------------------------------------------------------------