TSTP Solution File: SYN440-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN440-1 : 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 : n015.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 19:37:59 EDT 2022

% Result   : Unsatisfiable 2.15s 0.69s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  346
% Syntax   : Number of formulae    :  754 (   1 unt;   0 def)
%            Number of atoms       : 2235 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 2589 (1108   ~;1283   |;   0   &)
%                                         ( 198 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  243 ( 242 usr; 239 prp; 0-1 aty)
%            Number of functors    :   36 (  36 usr;  36 con; 0-0 aty)
%            Number of variables   :  122 ( 122   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4388,plain,
    $false,
    inference(avatar_sat_refutation,[],[f362,f385,f394,f412,f421,f435,f444,f462,f509,f514,f522,f535,f561,f587,f607,f621,f635,f660,f665,f675,f680,f696,f720,f727,f732,f734,f752,f777,f839,f840,f846,f850,f859,f864,f873,f885,f898,f908,f922,f927,f934,f939,f949,f960,f967,f1035,f1052,f1057,f1058,f1060,f1061,f1066,f1071,f1100,f1105,f1115,f1120,f1126,f1131,f1145,f1150,f1156,f1172,f1177,f1182,f1187,f1192,f1197,f1214,f1219,f1234,f1239,f1266,f1271,f1292,f1297,f1298,f1303,f1313,f1328,f1336,f1346,f1352,f1368,f1373,f1374,f1384,f1389,f1390,f1403,f1408,f1413,f1429,f1440,f1446,f1451,f1467,f1482,f1487,f1504,f1510,f1519,f1526,f1530,f1536,f1541,f1550,f1569,f1574,f1578,f1583,f1589,f1609,f1610,f1615,f1628,f1633,f1643,f1644,f1645,f1655,f1660,f1665,f1666,f1668,f1673,f1684,f1689,f1694,f1699,f1704,f1709,f1710,f1717,f1723,f1733,f1734,f1739,f1744,f1754,f1759,f1775,f1776,f1781,f1788,f1793,f1794,f1809,f1831,f1869,f1934,f1937,f1939,f1947,f1948,f1962,f1973,f1974,f1993,f2046,f2047,f2066,f2143,f2148,f2160,f2197,f2208,f2213,f2226,f2362,f2364,f2370,f2371,f2455,f2461,f2470,f2478,f2511,f2619,f2778,f2782,f2794,f2840,f2841,f2843,f2870,f2951,f2972,f2973,f2987,f3007,f3042,f3043,f3124,f3130,f3285,f3286,f3288,f3430,f3521,f3539,f3580,f3655,f3656,f3662,f3674,f3675,f3682,f3705,f3718,f3800,f3803,f3853,f3857,f3858,f3859,f3887,f3944,f3949,f3955,f3972,f4100,f4202,f4203,f4284,f4295,f4296,f4310,f4311,f4332,f4334,f4338,f4343,f4385,f4386]) ).

fof(f4386,plain,
    ( spl0_326
    | spl0_293
    | ~ spl0_61
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f4367,f1047,f600,f1790,f2215]) ).

fof(f2215,plain,
    ( spl0_326
  <=> c2_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f1790,plain,
    ( spl0_293
  <=> c1_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f600,plain,
    ( spl0_61
  <=> c3_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1047,plain,
    ( spl0_153
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f4367,plain,
    ( c1_1(a663)
    | c2_1(a663)
    | ~ spl0_61
    | ~ spl0_153 ),
    inference(resolution,[],[f1048,f602]) ).

fof(f602,plain,
    ( c3_1(a663)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1048,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f4385,plain,
    ( spl0_290
    | spl0_339
    | ~ spl0_153
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f4378,f1325,f1047,f2466,f1772]) ).

fof(f1772,plain,
    ( spl0_290
  <=> c1_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f2466,plain,
    ( spl0_339
  <=> c2_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f1325,plain,
    ( spl0_207
  <=> c3_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f4378,plain,
    ( c2_1(a643)
    | c1_1(a643)
    | ~ spl0_153
    | ~ spl0_207 ),
    inference(resolution,[],[f1048,f1327]) ).

fof(f1327,plain,
    ( c3_1(a643)
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f4343,plain,
    ( spl0_282
    | ~ spl0_340
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3998,f1657,f338,f2475,f1730]) ).

fof(f1730,plain,
    ( spl0_282
  <=> c0_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f2475,plain,
    ( spl0_340
  <=> c1_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f338,plain,
    ( spl0_3
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1657,plain,
    ( spl0_269
  <=> c2_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f3998,plain,
    ( ~ c1_1(a642)
    | c0_1(a642)
    | ~ spl0_3
    | ~ spl0_269 ),
    inference(resolution,[],[f339,f1659]) ).

fof(f1659,plain,
    ( c2_1(a642)
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f1657]) ).

fof(f339,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f4338,plain,
    ( spl0_338
    | spl0_74
    | ~ spl0_42
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f4147,f1050,f511,f662,f2458]) ).

fof(f2458,plain,
    ( spl0_338
  <=> c3_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f662,plain,
    ( spl0_74
  <=> c0_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f511,plain,
    ( spl0_42
  <=> c2_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1050,plain,
    ( spl0_154
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f4147,plain,
    ( c0_1(a670)
    | c3_1(a670)
    | ~ spl0_42
    | ~ spl0_154 ),
    inference(resolution,[],[f1051,f513]) ).

fof(f513,plain,
    ( c2_1(a670)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1051,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f4334,plain,
    ( spl0_316
    | ~ spl0_270
    | ~ spl0_113
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f4320,f1512,f852,f1662,f2016]) ).

fof(f2016,plain,
    ( spl0_316
  <=> c0_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f1662,plain,
    ( spl0_270
  <=> c1_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f852,plain,
    ( spl0_113
  <=> c3_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1512,plain,
    ( spl0_242
  <=> ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f4320,plain,
    ( ~ c1_1(a653)
    | c0_1(a653)
    | ~ spl0_113
    | ~ spl0_242 ),
    inference(resolution,[],[f1513,f854]) ).

fof(f854,plain,
    ( c3_1(a653)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f1513,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f1512]) ).

fof(f4332,plain,
    ( ~ spl0_65
    | spl0_301
    | ~ spl0_97
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f4313,f1512,f774,f1839,f618]) ).

fof(f618,plain,
    ( spl0_65
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1839,plain,
    ( spl0_301
  <=> c0_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f774,plain,
    ( spl0_97
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f4313,plain,
    ( c0_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_97
    | ~ spl0_242 ),
    inference(resolution,[],[f1513,f776]) ).

fof(f776,plain,
    ( c3_1(a675)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f4311,plain,
    ( spl0_359
    | ~ spl0_202
    | ~ spl0_136
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f4309,f1612,f965,f1300,f3666]) ).

fof(f3666,plain,
    ( spl0_359
  <=> c2_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).

fof(f1300,plain,
    ( spl0_202
  <=> c3_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f965,plain,
    ( spl0_136
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1612,plain,
    ( spl0_261
  <=> c0_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f4309,plain,
    ( ~ c3_1(a608)
    | c2_1(a608)
    | ~ spl0_136
    | ~ spl0_261 ),
    inference(resolution,[],[f1614,f966]) ).

fof(f966,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f1614,plain,
    ( c0_1(a608)
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f1612]) ).

fof(f4310,plain,
    ( spl0_359
    | ~ spl0_75
    | ~ spl0_134
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f4308,f1612,f958,f668,f3666]) ).

fof(f668,plain,
    ( spl0_75
  <=> c1_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f958,plain,
    ( spl0_134
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f4308,plain,
    ( ~ c1_1(a608)
    | c2_1(a608)
    | ~ spl0_134
    | ~ spl0_261 ),
    inference(resolution,[],[f1614,f959]) ).

fof(f959,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f4296,plain,
    ( spl0_128
    | ~ spl0_97
    | ~ spl0_136
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f4219,f1839,f965,f774,f924]) ).

fof(f924,plain,
    ( spl0_128
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f4219,plain,
    ( ~ c3_1(a675)
    | c2_1(a675)
    | ~ spl0_136
    | ~ spl0_301 ),
    inference(resolution,[],[f966,f1841]) ).

fof(f1841,plain,
    ( c0_1(a675)
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f1839]) ).

fof(f4295,plain,
    ( spl0_128
    | ~ spl0_65
    | ~ spl0_134
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f3910,f1839,f958,f618,f924]) ).

fof(f3910,plain,
    ( ~ c1_1(a675)
    | c2_1(a675)
    | ~ spl0_134
    | ~ spl0_301 ),
    inference(resolution,[],[f959,f1841]) ).

fof(f4284,plain,
    ( spl0_12
    | spl0_228
    | ~ spl0_254
    | spl0_303 ),
    inference(avatar_split_clause,[],[f4275,f1849,f1576,f1437,f378]) ).

fof(f378,plain,
    ( spl0_12
  <=> c2_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1437,plain,
    ( spl0_228
  <=> c1_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f1576,plain,
    ( spl0_254
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f1849,plain,
    ( spl0_303
  <=> c0_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f4275,plain,
    ( c1_1(a628)
    | c2_1(a628)
    | ~ spl0_254
    | spl0_303 ),
    inference(resolution,[],[f1577,f1850]) ).

fof(f1850,plain,
    ( ~ c0_1(a628)
    | spl0_303 ),
    inference(avatar_component_clause,[],[f1849]) ).

fof(f1577,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_254 ),
    inference(avatar_component_clause,[],[f1576]) ).

fof(f4203,plain,
    ( spl0_163
    | ~ spl0_275
    | ~ spl0_180
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f4189,f1548,f1184,f1691,f1097]) ).

fof(f1097,plain,
    ( spl0_163
  <=> c3_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1691,plain,
    ( spl0_275
  <=> c1_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f1184,plain,
    ( spl0_180
  <=> c2_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1548,plain,
    ( spl0_249
  <=> ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f4189,plain,
    ( ~ c1_1(a613)
    | c3_1(a613)
    | ~ spl0_180
    | ~ spl0_249 ),
    inference(resolution,[],[f1549,f1186]) ).

fof(f1186,plain,
    ( c2_1(a613)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1549,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f1548]) ).

fof(f4202,plain,
    ( ~ spl0_355
    | spl0_204
    | ~ spl0_156
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f4187,f1548,f1063,f1310,f3443]) ).

fof(f3443,plain,
    ( spl0_355
  <=> c1_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f1310,plain,
    ( spl0_204
  <=> c3_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f1063,plain,
    ( spl0_156
  <=> c2_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f4187,plain,
    ( c3_1(a627)
    | ~ c1_1(a627)
    | ~ spl0_156
    | ~ spl0_249 ),
    inference(resolution,[],[f1549,f1065]) ).

fof(f1065,plain,
    ( c2_1(a627)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f4100,plain,
    ( spl0_56
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f4098,f962,f958,f576]) ).

fof(f576,plain,
    ( spl0_56
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f962,plain,
    ( spl0_135
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f4098,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | c2_1(X3) )
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f4072]) ).

fof(f4072,plain,
    ( ! [X3] :
        ( c2_1(X3)
        | c2_1(X3)
        | ~ c1_1(X3)
        | c3_1(X3) )
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(resolution,[],[f963,f959]) ).

fof(f963,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f3972,plain,
    ( spl0_7
    | ~ spl0_345
    | ~ spl0_134
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f3971,f1068,f958,f2959,f355]) ).

fof(f355,plain,
    ( spl0_7
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2959,plain,
    ( spl0_345
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f1068,plain,
    ( spl0_157
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f3971,plain,
    ( ~ c1_1(a599)
    | c2_1(a599)
    | ~ spl0_134
    | ~ spl0_157 ),
    inference(resolution,[],[f1070,f959]) ).

fof(f1070,plain,
    ( c0_1(a599)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f3955,plain,
    ( ~ spl0_348
    | spl0_236
    | ~ spl0_134
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f3912,f1189,f958,f1479,f3039]) ).

fof(f3039,plain,
    ( spl0_348
  <=> c1_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f1479,plain,
    ( spl0_236
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f1189,plain,
    ( spl0_181
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f3912,plain,
    ( c2_1(a648)
    | ~ c1_1(a648)
    | ~ spl0_134
    | ~ spl0_181 ),
    inference(resolution,[],[f959,f1191]) ).

fof(f1191,plain,
    ( c0_1(a648)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f3949,plain,
    ( spl0_68
    | ~ spl0_85
    | ~ spl0_134
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f3920,f1580,f958,f717,f632]) ).

fof(f632,plain,
    ( spl0_68
  <=> c2_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f717,plain,
    ( spl0_85
  <=> c1_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1580,plain,
    ( spl0_255
  <=> c0_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f3920,plain,
    ( ~ c1_1(a607)
    | c2_1(a607)
    | ~ spl0_134
    | ~ spl0_255 ),
    inference(resolution,[],[f959,f1582]) ).

fof(f1582,plain,
    ( c0_1(a607)
    | ~ spl0_255 ),
    inference(avatar_component_clause,[],[f1580]) ).

fof(f3944,plain,
    ( ~ spl0_319
    | spl0_130
    | ~ spl0_18
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3923,f958,f405,f936,f2140]) ).

fof(f2140,plain,
    ( spl0_319
  <=> c1_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f936,plain,
    ( spl0_130
  <=> c2_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f405,plain,
    ( spl0_18
  <=> c0_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f3923,plain,
    ( c2_1(a677)
    | ~ c1_1(a677)
    | ~ spl0_18
    | ~ spl0_134 ),
    inference(resolution,[],[f959,f407]) ).

fof(f407,plain,
    ( c0_1(a677)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f3887,plain,
    ( spl0_226
    | spl0_195
    | ~ spl0_89
    | spl0_177 ),
    inference(avatar_split_clause,[],[f3884,f1169,f736,f1263,f1426]) ).

fof(f1426,plain,
    ( spl0_226
  <=> c1_1(a635) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f1263,plain,
    ( spl0_195
  <=> c3_1(a635) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f736,plain,
    ( spl0_89
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1169,plain,
    ( spl0_177
  <=> c2_1(a635) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f3884,plain,
    ( c3_1(a635)
    | c1_1(a635)
    | ~ spl0_89
    | spl0_177 ),
    inference(resolution,[],[f737,f1171]) ).

fof(f1171,plain,
    ( ~ c2_1(a635)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f737,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f3859,plain,
    ( ~ spl0_166
    | spl0_216
    | ~ spl0_87
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f3826,f2223,f725,f1370,f1112]) ).

fof(f1112,plain,
    ( spl0_166
  <=> c2_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1370,plain,
    ( spl0_216
  <=> c1_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f725,plain,
    ( spl0_87
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2223,plain,
    ( spl0_327
  <=> c0_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f3826,plain,
    ( c1_1(a617)
    | ~ c2_1(a617)
    | ~ spl0_87
    | ~ spl0_327 ),
    inference(resolution,[],[f726,f2225]) ).

fof(f2225,plain,
    ( c0_1(a617)
    | ~ spl0_327 ),
    inference(avatar_component_clause,[],[f2223]) ).

fof(f726,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f3858,plain,
    ( ~ spl0_156
    | spl0_355
    | ~ spl0_87
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f3836,f1736,f725,f3443,f1063]) ).

fof(f1736,plain,
    ( spl0_283
  <=> c0_1(a627) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f3836,plain,
    ( c1_1(a627)
    | ~ c2_1(a627)
    | ~ spl0_87
    | ~ spl0_283 ),
    inference(resolution,[],[f726,f1738]) ).

fof(f1738,plain,
    ( c0_1(a627)
    | ~ spl0_283 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f3857,plain,
    ( spl0_21
    | ~ spl0_357
    | ~ spl0_87
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f3824,f1652,f725,f3652,f418]) ).

fof(f418,plain,
    ( spl0_21
  <=> c1_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f3652,plain,
    ( spl0_357
  <=> c2_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).

fof(f1652,plain,
    ( spl0_268
  <=> c0_1(a619) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f3824,plain,
    ( ~ c2_1(a619)
    | c1_1(a619)
    | ~ spl0_87
    | ~ spl0_268 ),
    inference(resolution,[],[f726,f1654]) ).

fof(f1654,plain,
    ( c0_1(a619)
    | ~ spl0_268 ),
    inference(avatar_component_clause,[],[f1652]) ).

fof(f3853,plain,
    ( spl0_243
    | ~ spl0_200
    | ~ spl0_87
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f3844,f1670,f725,f1289,f1516]) ).

fof(f1516,plain,
    ( spl0_243
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f1289,plain,
    ( spl0_200
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f1670,plain,
    ( spl0_271
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f3844,plain,
    ( ~ c2_1(a598)
    | c1_1(a598)
    | ~ spl0_87
    | ~ spl0_271 ),
    inference(resolution,[],[f726,f1672]) ).

fof(f1672,plain,
    ( c0_1(a598)
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f1670]) ).

fof(f3803,plain,
    ( spl0_130
    | spl0_277
    | ~ spl0_56
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f3780,f2140,f576,f1701,f936]) ).

fof(f1701,plain,
    ( spl0_277
  <=> c3_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f3780,plain,
    ( c3_1(a677)
    | c2_1(a677)
    | ~ spl0_56
    | ~ spl0_319 ),
    inference(resolution,[],[f577,f2142]) ).

fof(f2142,plain,
    ( c1_1(a677)
    | ~ spl0_319 ),
    inference(avatar_component_clause,[],[f2140]) ).

fof(f577,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f3800,plain,
    ( spl0_168
    | spl0_119
    | ~ spl0_56
    | ~ spl0_320 ),
    inference(avatar_split_clause,[],[f3782,f2145,f576,f882,f1123]) ).

fof(f1123,plain,
    ( spl0_168
  <=> c3_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f882,plain,
    ( spl0_119
  <=> c2_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2145,plain,
    ( spl0_320
  <=> c1_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f3782,plain,
    ( c2_1(a666)
    | c3_1(a666)
    | ~ spl0_56
    | ~ spl0_320 ),
    inference(resolution,[],[f577,f2147]) ).

fof(f2147,plain,
    ( c1_1(a666)
    | ~ spl0_320 ),
    inference(avatar_component_clause,[],[f2145]) ).

fof(f3718,plain,
    ( spl0_291
    | spl0_346
    | ~ spl0_150
    | spl0_223 ),
    inference(avatar_split_clause,[],[f3717,f1410,f1033,f2980,f1778]) ).

fof(f1778,plain,
    ( spl0_291
  <=> c1_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f2980,plain,
    ( spl0_346
  <=> c3_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f1033,plain,
    ( spl0_150
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1410,plain,
    ( spl0_223
  <=> c0_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f3717,plain,
    ( c3_1(a609)
    | c1_1(a609)
    | ~ spl0_150
    | spl0_223 ),
    inference(resolution,[],[f1412,f1034]) ).

fof(f1034,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1412,plain,
    ( ~ c0_1(a609)
    | spl0_223 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f3705,plain,
    ( spl0_228
    | spl0_12
    | ~ spl0_153
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f3692,f1216,f1047,f378,f1437]) ).

fof(f1216,plain,
    ( spl0_186
  <=> c3_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f3692,plain,
    ( c2_1(a628)
    | c1_1(a628)
    | ~ spl0_153
    | ~ spl0_186 ),
    inference(resolution,[],[f1048,f1218]) ).

fof(f1218,plain,
    ( c3_1(a628)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1216]) ).

fof(f3682,plain,
    ( ~ spl0_75
    | ~ spl0_202
    | ~ spl0_86
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f3679,f3666,f722,f1300,f668]) ).

fof(f722,plain,
    ( spl0_86
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f3679,plain,
    ( ~ c3_1(a608)
    | ~ c1_1(a608)
    | ~ spl0_86
    | ~ spl0_359 ),
    inference(resolution,[],[f3668,f723]) ).

fof(f723,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f3668,plain,
    ( c2_1(a608)
    | ~ spl0_359 ),
    inference(avatar_component_clause,[],[f3666]) ).

fof(f3675,plain,
    ( ~ spl0_202
    | ~ spl0_359
    | ~ spl0_44
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f3670,f1612,f520,f3666,f1300]) ).

fof(f520,plain,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3670,plain,
    ( ~ c2_1(a608)
    | ~ c3_1(a608)
    | ~ spl0_44
    | ~ spl0_261 ),
    inference(resolution,[],[f1614,f521]) ).

fof(f521,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f3674,plain,
    ( ~ spl0_75
    | ~ spl0_202
    | ~ spl0_208
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f3673,f1612,f1330,f1300,f668]) ).

fof(f1330,plain,
    ( spl0_208
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f3673,plain,
    ( ~ c3_1(a608)
    | ~ c1_1(a608)
    | ~ spl0_208
    | ~ spl0_261 ),
    inference(resolution,[],[f1614,f1331]) ).

fof(f1331,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1330]) ).

fof(f3662,plain,
    ( spl0_89
    | ~ spl0_150
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f3320,f1334,f1033,f736]) ).

fof(f1334,plain,
    ( spl0_209
  <=> ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f3320,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_150
    | ~ spl0_209 ),
    inference(duplicate_literal_removal,[],[f3299]) ).

fof(f3299,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_150
    | ~ spl0_209 ),
    inference(resolution,[],[f1034,f1335]) ).

fof(f1335,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_209 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f3656,plain,
    ( spl0_253
    | spl0_284
    | ~ spl0_196
    | ~ spl0_209 ),
    inference(avatar_split_clause,[],[f3063,f1334,f1268,f1741,f1571]) ).

fof(f1571,plain,
    ( spl0_253
  <=> c2_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f1741,plain,
    ( spl0_284
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f1268,plain,
    ( spl0_196
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f3063,plain,
    ( c1_1(a647)
    | c2_1(a647)
    | ~ spl0_196
    | ~ spl0_209 ),
    inference(resolution,[],[f1270,f1335]) ).

fof(f1270,plain,
    ( c0_1(a647)
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f1268]) ).

fof(f3655,plain,
    ( spl0_21
    | spl0_357
    | ~ spl0_209
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f3085,f1652,f1334,f3652,f418]) ).

fof(f3085,plain,
    ( c2_1(a619)
    | c1_1(a619)
    | ~ spl0_209
    | ~ spl0_268 ),
    inference(resolution,[],[f1654,f1335]) ).

fof(f3580,plain,
    ( ~ spl0_207
    | spl0_77
    | ~ spl0_241
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f3576,f2466,f1508,f677,f1325]) ).

fof(f677,plain,
    ( spl0_77
  <=> c0_1(a643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1508,plain,
    ( spl0_241
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f3576,plain,
    ( c0_1(a643)
    | ~ c3_1(a643)
    | ~ spl0_241
    | ~ spl0_339 ),
    inference(resolution,[],[f2468,f1509]) ).

fof(f1509,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_241 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f2468,plain,
    ( c2_1(a643)
    | ~ spl0_339 ),
    inference(avatar_component_clause,[],[f2466]) ).

fof(f3539,plain,
    ( spl0_172
    | ~ spl0_61
    | ~ spl0_241
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f3535,f2215,f1508,f600,f1142]) ).

fof(f1142,plain,
    ( spl0_172
  <=> c0_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f3535,plain,
    ( ~ c3_1(a663)
    | c0_1(a663)
    | ~ spl0_241
    | ~ spl0_326 ),
    inference(resolution,[],[f2217,f1509]) ).

fof(f2217,plain,
    ( c2_1(a663)
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f2215]) ).

fof(f3521,plain,
    ( spl0_313
    | spl0_263
    | ~ spl0_215
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f3495,f1752,f1365,f1625,f1969]) ).

fof(f1969,plain,
    ( spl0_313
  <=> c3_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f1625,plain,
    ( spl0_263
  <=> c1_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f1365,plain,
    ( spl0_215
  <=> c2_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f1752,plain,
    ( spl0_286
  <=> ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f3495,plain,
    ( c1_1(a674)
    | c3_1(a674)
    | ~ spl0_215
    | ~ spl0_286 ),
    inference(resolution,[],[f1753,f1367]) ).

fof(f1367,plain,
    ( c2_1(a674)
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1753,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_286 ),
    inference(avatar_component_clause,[],[f1752]) ).

fof(f3430,plain,
    ( ~ spl0_335
    | ~ spl0_91
    | ~ spl0_245
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f3403,f1640,f1528,f745,f2367]) ).

fof(f2367,plain,
    ( spl0_335
  <=> c2_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f745,plain,
    ( spl0_91
  <=> c1_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1528,plain,
    ( spl0_245
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f1640,plain,
    ( spl0_266
  <=> c0_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f3403,plain,
    ( ~ c1_1(a605)
    | ~ c2_1(a605)
    | ~ spl0_245
    | ~ spl0_266 ),
    inference(resolution,[],[f1529,f1642]) ).

fof(f1642,plain,
    ( c0_1(a605)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f1640]) ).

fof(f1529,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f3288,plain,
    ( spl0_344
    | ~ spl0_167
    | ~ spl0_149
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f3266,f1464,f1030,f1117,f2852]) ).

fof(f2852,plain,
    ( spl0_344
  <=> c1_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f1117,plain,
    ( spl0_167
  <=> c3_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1030,plain,
    ( spl0_149
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1464,plain,
    ( spl0_233
  <=> c2_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f3266,plain,
    ( ~ c3_1(a623)
    | c1_1(a623)
    | ~ spl0_149
    | ~ spl0_233 ),
    inference(resolution,[],[f1031,f1466]) ).

fof(f1466,plain,
    ( c2_1(a623)
    | ~ spl0_233 ),
    inference(avatar_component_clause,[],[f1464]) ).

fof(f1031,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f3286,plain,
    ( ~ spl0_346
    | spl0_291
    | ~ spl0_117
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3279,f1030,f870,f1778,f2980]) ).

fof(f870,plain,
    ( spl0_117
  <=> c2_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3279,plain,
    ( c1_1(a609)
    | ~ c3_1(a609)
    | ~ spl0_117
    | ~ spl0_149 ),
    inference(resolution,[],[f1031,f872]) ).

fof(f872,plain,
    ( c2_1(a609)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f3285,plain,
    ( ~ spl0_164
    | spl0_122
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f3262,f1054,f1030,f895,f1102]) ).

fof(f1102,plain,
    ( spl0_164
  <=> c3_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f895,plain,
    ( spl0_122
  <=> c1_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1054,plain,
    ( spl0_155
  <=> c2_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3262,plain,
    ( c1_1(a658)
    | ~ c3_1(a658)
    | ~ spl0_149
    | ~ spl0_155 ),
    inference(resolution,[],[f1031,f1056]) ).

fof(f1056,plain,
    ( c2_1(a658)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1054]) ).

fof(f3130,plain,
    ( ~ spl0_167
    | ~ spl0_344
    | ~ spl0_86
    | ~ spl0_233 ),
    inference(avatar_split_clause,[],[f3100,f1464,f722,f2852,f1117]) ).

fof(f3100,plain,
    ( ~ c1_1(a623)
    | ~ c3_1(a623)
    | ~ spl0_86
    | ~ spl0_233 ),
    inference(resolution,[],[f723,f1466]) ).

fof(f3124,plain,
    ( ~ spl0_182
    | ~ spl0_340
    | ~ spl0_86
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f3107,f1657,f722,f2475,f1194]) ).

fof(f1194,plain,
    ( spl0_182
  <=> c3_1(a642) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f3107,plain,
    ( ~ c1_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_86
    | ~ spl0_269 ),
    inference(resolution,[],[f723,f1659]) ).

fof(f3043,plain,
    ( spl0_236
    | ~ spl0_273
    | ~ spl0_136
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f3035,f1189,f965,f1681,f1479]) ).

fof(f1681,plain,
    ( spl0_273
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f3035,plain,
    ( ~ c3_1(a648)
    | c2_1(a648)
    | ~ spl0_136
    | ~ spl0_181 ),
    inference(resolution,[],[f1191,f966]) ).

fof(f3042,plain,
    ( ~ spl0_273
    | spl0_348
    | ~ spl0_120
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f3034,f1189,f887,f3039,f1681]) ).

fof(f887,plain,
    ( spl0_120
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3034,plain,
    ( c1_1(a648)
    | ~ c3_1(a648)
    | ~ spl0_120
    | ~ spl0_181 ),
    inference(resolution,[],[f1191,f888]) ).

fof(f888,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f3007,plain,
    ( ~ spl0_306
    | spl0_129
    | ~ spl0_136
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f3004,f1349,f965,f931,f1879]) ).

fof(f1879,plain,
    ( spl0_306
  <=> c3_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f931,plain,
    ( spl0_129
  <=> c2_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1349,plain,
    ( spl0_212
  <=> c0_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f3004,plain,
    ( c2_1(a669)
    | ~ c3_1(a669)
    | ~ spl0_136
    | ~ spl0_212 ),
    inference(resolution,[],[f1351,f966]) ).

fof(f1351,plain,
    ( c0_1(a669)
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f1349]) ).

fof(f2987,plain,
    ( spl0_124
    | spl0_173
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2986,f1050,f946,f1147,f905]) ).

fof(f905,plain,
    ( spl0_124
  <=> c0_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1147,plain,
    ( spl0_173
  <=> c3_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f946,plain,
    ( spl0_132
  <=> c2_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f2986,plain,
    ( c3_1(a606)
    | c0_1(a606)
    | ~ spl0_132
    | ~ spl0_154 ),
    inference(resolution,[],[f948,f1051]) ).

fof(f948,plain,
    ( c2_1(a606)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f2973,plain,
    ( spl0_345
    | ~ spl0_88
    | ~ spl0_120
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2966,f1068,f887,f729,f2959]) ).

fof(f729,plain,
    ( spl0_88
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f2966,plain,
    ( ~ c3_1(a599)
    | c1_1(a599)
    | ~ spl0_120
    | ~ spl0_157 ),
    inference(resolution,[],[f1070,f888]) ).

fof(f2972,plain,
    ( ~ spl0_88
    | spl0_7
    | ~ spl0_136
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2968,f1068,f965,f355,f729]) ).

fof(f2968,plain,
    ( c2_1(a599)
    | ~ c3_1(a599)
    | ~ spl0_136
    | ~ spl0_157 ),
    inference(resolution,[],[f1070,f966]) ).

fof(f2951,plain,
    ( spl0_74
    | spl0_276
    | ~ spl0_42
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f2927,f1707,f511,f1696,f662]) ).

fof(f1696,plain,
    ( spl0_276
  <=> c1_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f1707,plain,
    ( spl0_278
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f2927,plain,
    ( c1_1(a670)
    | c0_1(a670)
    | ~ spl0_42
    | ~ spl0_278 ),
    inference(resolution,[],[f1708,f513]) ).

fof(f1708,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_278 ),
    inference(avatar_component_clause,[],[f1707]) ).

fof(f2870,plain,
    ( ~ spl0_219
    | spl0_247
    | ~ spl0_217
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f2857,f1512,f1377,f1538,f1386]) ).

fof(f1386,plain,
    ( spl0_219
  <=> c1_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f1538,plain,
    ( spl0_247
  <=> c0_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f1377,plain,
    ( spl0_217
  <=> c3_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f2857,plain,
    ( c0_1(a673)
    | ~ c1_1(a673)
    | ~ spl0_217
    | ~ spl0_242 ),
    inference(resolution,[],[f1513,f1379]) ).

fof(f1379,plain,
    ( c3_1(a673)
    | ~ spl0_217 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f2843,plain,
    ( spl0_190
    | ~ spl0_80
    | ~ spl0_52
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f2819,f1508,f558,f693,f1236]) ).

fof(f1236,plain,
    ( spl0_190
  <=> c0_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f693,plain,
    ( spl0_80
  <=> c3_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f558,plain,
    ( spl0_52
  <=> c2_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f2819,plain,
    ( ~ c3_1(a665)
    | c0_1(a665)
    | ~ spl0_52
    | ~ spl0_241 ),
    inference(resolution,[],[f1509,f560]) ).

fof(f560,plain,
    ( c2_1(a665)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f2841,plain,
    ( spl0_74
    | ~ spl0_338
    | ~ spl0_42
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f2818,f1508,f511,f2458,f662]) ).

fof(f2818,plain,
    ( ~ c3_1(a670)
    | c0_1(a670)
    | ~ spl0_42
    | ~ spl0_241 ),
    inference(resolution,[],[f1509,f513]) ).

fof(f2840,plain,
    ( ~ spl0_182
    | spl0_282
    | ~ spl0_241
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f2832,f1657,f1508,f1730,f1194]) ).

fof(f2832,plain,
    ( c0_1(a642)
    | ~ c3_1(a642)
    | ~ spl0_241
    | ~ spl0_269 ),
    inference(resolution,[],[f1509,f1659]) ).

fof(f2794,plain,
    ( ~ spl0_189
    | spl0_127
    | ~ spl0_136
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f2790,f1844,f965,f919,f1231]) ).

fof(f1231,plain,
    ( spl0_189
  <=> c3_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f919,plain,
    ( spl0_127
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1844,plain,
    ( spl0_302
  <=> c0_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f2790,plain,
    ( c2_1(a652)
    | ~ c3_1(a652)
    | ~ spl0_136
    | ~ spl0_302 ),
    inference(resolution,[],[f1846,f966]) ).

fof(f1846,plain,
    ( c0_1(a652)
    | ~ spl0_302 ),
    inference(avatar_component_clause,[],[f1844]) ).

fof(f2782,plain,
    ( spl0_287
    | spl0_302
    | ~ spl0_112
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f2697,f1231,f848,f1844,f1756]) ).

fof(f1756,plain,
    ( spl0_287
  <=> c1_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f848,plain,
    ( spl0_112
  <=> ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f2697,plain,
    ( c0_1(a652)
    | c1_1(a652)
    | ~ spl0_112
    | ~ spl0_189 ),
    inference(resolution,[],[f1233,f849]) ).

fof(f849,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f1233,plain,
    ( c3_1(a652)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f2778,plain,
    ( ~ spl0_113
    | spl0_246
    | ~ spl0_136
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f2774,f2016,f965,f1533,f852]) ).

fof(f1533,plain,
    ( spl0_246
  <=> c2_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f2774,plain,
    ( c2_1(a653)
    | ~ c3_1(a653)
    | ~ spl0_136
    | ~ spl0_316 ),
    inference(resolution,[],[f2018,f966]) ).

fof(f2018,plain,
    ( c0_1(a653)
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f2016]) ).

fof(f2619,plain,
    ( spl0_221
    | spl0_185
    | ~ spl0_153
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f2618,f1630,f1047,f1211,f1400]) ).

fof(f1400,plain,
    ( spl0_221
  <=> c1_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f1211,plain,
    ( spl0_185
  <=> c2_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f1630,plain,
    ( spl0_264
  <=> c3_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f2618,plain,
    ( c2_1(a612)
    | c1_1(a612)
    | ~ spl0_153
    | ~ spl0_264 ),
    inference(resolution,[],[f1048,f1632]) ).

fof(f1632,plain,
    ( c3_1(a612)
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f1630]) ).

fof(f2511,plain,
    ( spl0_237
    | spl0_274
    | ~ spl0_150
    | spl0_260 ),
    inference(avatar_split_clause,[],[f2506,f1606,f1033,f1686,f1484]) ).

fof(f1484,plain,
    ( spl0_237
  <=> c1_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f1686,plain,
    ( spl0_274
  <=> c3_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f1606,plain,
    ( spl0_260
  <=> c0_1(a620) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f2506,plain,
    ( c3_1(a620)
    | c1_1(a620)
    | ~ spl0_150
    | spl0_260 ),
    inference(resolution,[],[f1034,f1608]) ).

fof(f1608,plain,
    ( ~ c0_1(a620)
    | spl0_260 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f2478,plain,
    ( spl0_282
    | spl0_340
    | ~ spl0_112
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2471,f1194,f848,f2475,f1730]) ).

fof(f2471,plain,
    ( c1_1(a642)
    | c0_1(a642)
    | ~ spl0_112
    | ~ spl0_182 ),
    inference(resolution,[],[f1196,f849]) ).

fof(f1196,plain,
    ( c3_1(a642)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1194]) ).

fof(f2470,plain,
    ( spl0_77
    | spl0_290
    | ~ spl0_112
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f2462,f1325,f848,f1772,f677]) ).

fof(f2462,plain,
    ( c1_1(a643)
    | c0_1(a643)
    | ~ spl0_112
    | ~ spl0_207 ),
    inference(resolution,[],[f1327,f849]) ).

fof(f2461,plain,
    ( spl0_276
    | ~ spl0_338
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2435,f1030,f511,f2458,f1696]) ).

fof(f2435,plain,
    ( ~ c3_1(a670)
    | c1_1(a670)
    | ~ spl0_42
    | ~ spl0_149 ),
    inference(resolution,[],[f1031,f513]) ).

fof(f2455,plain,
    ( ~ spl0_25
    | spl0_216
    | ~ spl0_149
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2440,f1112,f1030,f1370,f437]) ).

fof(f437,plain,
    ( spl0_25
  <=> c3_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2440,plain,
    ( c1_1(a617)
    | ~ c3_1(a617)
    | ~ spl0_149
    | ~ spl0_166 ),
    inference(resolution,[],[f1031,f1114]) ).

fof(f1114,plain,
    ( c2_1(a617)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f2371,plain,
    ( spl0_119
    | spl0_168
    | ~ spl0_40
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f2356,f1448,f503,f1123,f882]) ).

fof(f503,plain,
    ( spl0_40
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1448,plain,
    ( spl0_230
  <=> c0_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f2356,plain,
    ( c3_1(a666)
    | c2_1(a666)
    | ~ spl0_40
    | ~ spl0_230 ),
    inference(resolution,[],[f504,f1450]) ).

fof(f1450,plain,
    ( c0_1(a666)
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f504,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f2370,plain,
    ( spl0_335
    | spl0_110
    | ~ spl0_40
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f2354,f1640,f503,f836,f2367]) ).

fof(f836,plain,
    ( spl0_110
  <=> c3_1(a605) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2354,plain,
    ( c3_1(a605)
    | c2_1(a605)
    | ~ spl0_40
    | ~ spl0_266 ),
    inference(resolution,[],[f504,f1642]) ).

fof(f2364,plain,
    ( spl0_306
    | spl0_129
    | ~ spl0_40
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f2349,f1349,f503,f931,f1879]) ).

fof(f2349,plain,
    ( c2_1(a669)
    | c3_1(a669)
    | ~ spl0_40
    | ~ spl0_212 ),
    inference(resolution,[],[f504,f1351]) ).

fof(f2362,plain,
    ( spl0_325
    | spl0_68
    | ~ spl0_40
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f2353,f1580,f503,f632,f2205]) ).

fof(f2205,plain,
    ( spl0_325
  <=> c3_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f2353,plain,
    ( c2_1(a607)
    | c3_1(a607)
    | ~ spl0_40
    | ~ spl0_255 ),
    inference(resolution,[],[f504,f1582]) ).

fof(f2226,plain,
    ( spl0_216
    | spl0_327
    | ~ spl0_25
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2219,f848,f437,f2223,f1370]) ).

fof(f2219,plain,
    ( c0_1(a617)
    | c1_1(a617)
    | ~ spl0_25
    | ~ spl0_112 ),
    inference(resolution,[],[f439,f849]) ).

fof(f439,plain,
    ( c3_1(a617)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f2213,plain,
    ( spl0_172
    | spl0_293
    | ~ spl0_61
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2210,f848,f600,f1790,f1142]) ).

fof(f2210,plain,
    ( c1_1(a663)
    | c0_1(a663)
    | ~ spl0_61
    | ~ spl0_112 ),
    inference(resolution,[],[f602,f849]) ).

fof(f2208,plain,
    ( spl0_68
    | ~ spl0_325
    | ~ spl0_136
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f2185,f1580,f965,f2205,f632]) ).

fof(f2185,plain,
    ( ~ c3_1(a607)
    | c2_1(a607)
    | ~ spl0_136
    | ~ spl0_255 ),
    inference(resolution,[],[f966,f1582]) ).

fof(f2197,plain,
    ( ~ spl0_186
    | spl0_12
    | ~ spl0_136
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f2189,f1849,f965,f378,f1216]) ).

fof(f2189,plain,
    ( c2_1(a628)
    | ~ c3_1(a628)
    | ~ spl0_136
    | ~ spl0_303 ),
    inference(resolution,[],[f966,f1851]) ).

fof(f1851,plain,
    ( c0_1(a628)
    | ~ spl0_303 ),
    inference(avatar_component_clause,[],[f1849]) ).

fof(f2160,plain,
    ( spl0_201
    | spl0_14
    | ~ spl0_89
    | spl0_311 ),
    inference(avatar_split_clause,[],[f2135,f1944,f736,f387,f1294]) ).

fof(f1294,plain,
    ( spl0_201
  <=> c3_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f387,plain,
    ( spl0_14
  <=> c1_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1944,plain,
    ( spl0_311
  <=> c2_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f2135,plain,
    ( c1_1(a597)
    | c3_1(a597)
    | ~ spl0_89
    | spl0_311 ),
    inference(resolution,[],[f737,f1946]) ).

fof(f1946,plain,
    ( ~ c2_1(a597)
    | spl0_311 ),
    inference(avatar_component_clause,[],[f1944]) ).

fof(f2148,plain,
    ( spl0_320
    | spl0_168
    | ~ spl0_89
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2128,f882,f736,f1123,f2145]) ).

fof(f2128,plain,
    ( c3_1(a666)
    | c1_1(a666)
    | ~ spl0_89
    | spl0_119 ),
    inference(resolution,[],[f737,f884]) ).

fof(f884,plain,
    ( ~ c2_1(a666)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f2143,plain,
    ( spl0_319
    | spl0_277
    | ~ spl0_89
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2127,f936,f736,f1701,f2140]) ).

fof(f2127,plain,
    ( c3_1(a677)
    | c1_1(a677)
    | ~ spl0_89
    | spl0_130 ),
    inference(resolution,[],[f737,f938]) ).

fof(f938,plain,
    ( ~ c2_1(a677)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f2066,plain,
    ( spl0_246
    | ~ spl0_270
    | ~ spl0_46
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2053,f852,f529,f1662,f1533]) ).

fof(f529,plain,
    ( spl0_46
  <=> ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f2053,plain,
    ( ~ c1_1(a653)
    | c2_1(a653)
    | ~ spl0_46
    | ~ spl0_113 ),
    inference(resolution,[],[f530,f854]) ).

fof(f530,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f2047,plain,
    ( spl0_201
    | spl0_311
    | ~ spl0_40
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f2043,f1405,f503,f1944,f1294]) ).

fof(f1405,plain,
    ( spl0_222
  <=> c0_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f2043,plain,
    ( c2_1(a597)
    | c3_1(a597)
    | ~ spl0_40
    | ~ spl0_222 ),
    inference(resolution,[],[f504,f1407]) ).

fof(f1407,plain,
    ( c0_1(a597)
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f2046,plain,
    ( spl0_277
    | spl0_130
    | ~ spl0_18
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f2037,f503,f405,f936,f1701]) ).

fof(f2037,plain,
    ( c2_1(a677)
    | c3_1(a677)
    | ~ spl0_18
    | ~ spl0_40 ),
    inference(resolution,[],[f504,f407]) ).

fof(f1993,plain,
    ( ~ spl0_186
    | spl0_228
    | ~ spl0_120
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f1991,f1849,f887,f1437,f1216]) ).

fof(f1991,plain,
    ( c1_1(a628)
    | ~ c3_1(a628)
    | ~ spl0_120
    | ~ spl0_303 ),
    inference(resolution,[],[f1851,f888]) ).

fof(f1974,plain,
    ( ~ spl0_215
    | spl0_263
    | ~ spl0_87
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1965,f1174,f725,f1625,f1365]) ).

fof(f1174,plain,
    ( spl0_178
  <=> c0_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1965,plain,
    ( c1_1(a674)
    | ~ c2_1(a674)
    | ~ spl0_87
    | ~ spl0_178 ),
    inference(resolution,[],[f1176,f726]) ).

fof(f1176,plain,
    ( c0_1(a674)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1973,plain,
    ( spl0_263
    | ~ spl0_313
    | ~ spl0_120
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1964,f1174,f887,f1969,f1625]) ).

fof(f1964,plain,
    ( ~ c3_1(a674)
    | c1_1(a674)
    | ~ spl0_120
    | ~ spl0_178 ),
    inference(resolution,[],[f1176,f888]) ).

fof(f1962,plain,
    ( ~ spl0_30
    | spl0_129
    | ~ spl0_134
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f1958,f1349,f958,f931,f459]) ).

fof(f459,plain,
    ( spl0_30
  <=> c1_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1958,plain,
    ( c2_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_134
    | ~ spl0_212 ),
    inference(resolution,[],[f959,f1351]) ).

fof(f1948,plain,
    ( spl0_14
    | ~ spl0_311
    | ~ spl0_87
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f1940,f1405,f725,f1944,f387]) ).

fof(f1940,plain,
    ( ~ c2_1(a597)
    | c1_1(a597)
    | ~ spl0_87
    | ~ spl0_222 ),
    inference(resolution,[],[f1407,f726]) ).

fof(f1947,plain,
    ( ~ spl0_311
    | spl0_201
    | ~ spl0_36
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f1942,f1405,f486,f1294,f1944]) ).

fof(f486,plain,
    ( spl0_36
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1942,plain,
    ( c3_1(a597)
    | ~ c2_1(a597)
    | ~ spl0_36
    | ~ spl0_222 ),
    inference(resolution,[],[f1407,f487]) ).

fof(f487,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1939,plain,
    ( spl0_240
    | spl0_229
    | ~ spl0_56
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1938,f1179,f576,f1443,f1501]) ).

fof(f1501,plain,
    ( spl0_240
  <=> c3_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f1443,plain,
    ( spl0_229
  <=> c2_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f1179,plain,
    ( spl0_179
  <=> c1_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1938,plain,
    ( c2_1(a618)
    | c3_1(a618)
    | ~ spl0_56
    | ~ spl0_179 ),
    inference(resolution,[],[f1181,f577]) ).

fof(f1181,plain,
    ( c1_1(a618)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1937,plain,
    ( spl0_300
    | spl0_174
    | ~ spl0_57
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1917,f848,f580,f1153,f1828]) ).

fof(f1828,plain,
    ( spl0_300
  <=> c1_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f1153,plain,
    ( spl0_174
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f580,plain,
    ( spl0_57
  <=> c3_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1917,plain,
    ( c0_1(a651)
    | c1_1(a651)
    | ~ spl0_57
    | ~ spl0_112 ),
    inference(resolution,[],[f849,f582]) ).

fof(f582,plain,
    ( c3_1(a651)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f1934,plain,
    ( spl0_304
    | spl0_211
    | ~ spl0_112
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f1919,f1806,f848,f1343,f1866]) ).

fof(f1866,plain,
    ( spl0_304
  <=> c1_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f1343,plain,
    ( spl0_211
  <=> c0_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f1806,plain,
    ( spl0_296
  <=> c3_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f1919,plain,
    ( c0_1(a646)
    | c1_1(a646)
    | ~ spl0_112
    | ~ spl0_296 ),
    inference(resolution,[],[f849,f1808]) ).

fof(f1808,plain,
    ( c3_1(a646)
    | ~ spl0_296 ),
    inference(avatar_component_clause,[],[f1806]) ).

fof(f1869,plain,
    ( spl0_111
    | ~ spl0_304
    | ~ spl0_46
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f1862,f1806,f529,f1866,f843]) ).

fof(f843,plain,
    ( spl0_111
  <=> c2_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1862,plain,
    ( ~ c1_1(a646)
    | c2_1(a646)
    | ~ spl0_46
    | ~ spl0_296 ),
    inference(resolution,[],[f530,f1808]) ).

fof(f1831,plain,
    ( ~ spl0_300
    | spl0_174
    | ~ spl0_3
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1821,f657,f338,f1153,f1828]) ).

fof(f657,plain,
    ( spl0_73
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1821,plain,
    ( c0_1(a651)
    | ~ c1_1(a651)
    | ~ spl0_3
    | ~ spl0_73 ),
    inference(resolution,[],[f339,f659]) ).

fof(f659,plain,
    ( c2_1(a651)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1809,plain,
    ( spl0_296
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f143,f499,f1806]) ).

fof(f499,plain,
    ( spl0_39
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f143,axiom,
    ( ~ hskp25
    | c3_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f1794,plain,
    ( ~ spl0_1
    | spl0_176
    | spl0_40
    | spl0_149 ),
    inference(avatar_split_clause,[],[f311,f1030,f503,f1165,f330]) ).

fof(f330,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1165,plain,
    ( spl0_176
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f311,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | hskp20
      | c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause311) ).

fof(f1793,plain,
    ( ~ spl0_293
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f182,f604,f1790]) ).

fof(f604,plain,
    ( spl0_62
  <=> hskp58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f182,axiom,
    ( ~ hskp58
    | ~ c1_1(a663) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f1788,plain,
    ( ~ spl0_1
    | spl0_114
    | spl0_120
    | spl0_112 ),
    inference(avatar_split_clause,[],[f313,f848,f887,f856,f330]) ).

fof(f856,plain,
    ( spl0_114
  <=> hskp55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f313,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | hskp55
      | ~ c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause313) ).

fof(f1781,plain,
    ( ~ spl0_291
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f264,f866,f1778]) ).

fof(f866,plain,
    ( spl0_116
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f264,axiom,
    ( ~ hskp6
    | ~ c1_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause264) ).

fof(f1776,plain,
    ( spl0_59
    | spl0_13
    | spl0_37 ),
    inference(avatar_split_clause,[],[f71,f489,f382,f589]) ).

fof(f589,plain,
    ( spl0_59
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f382,plain,
    ( spl0_13
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f489,plain,
    ( spl0_37
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f71,axiom,
    ( hskp16
    | hskp17
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f1775,plain,
    ( ~ spl0_290
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f230,f652,f1772]) ).

fof(f652,plain,
    ( spl0_72
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f230,axiom,
    ( ~ hskp24
    | ~ c1_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause230) ).

fof(f1759,plain,
    ( ~ spl0_126
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f225,f1756,f915]) ).

fof(f915,plain,
    ( spl0_126
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f225,axiom,
    ( ~ c1_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause225) ).

fof(f1754,plain,
    ( ~ spl0_1
    | spl0_286
    | spl0_254
    | spl0_278 ),
    inference(avatar_split_clause,[],[f320,f1707,f1576,f1752,f330]) ).

fof(f320,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X1)
      | c1_1(X2)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause320) ).

fof(f1744,plain,
    ( ~ spl0_284
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f189,f506,f1741]) ).

fof(f506,plain,
    ( spl0_41
  <=> hskp52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f189,axiom,
    ( ~ hskp52
    | ~ c1_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f1739,plain,
    ( ~ spl0_37
    | spl0_283 ),
    inference(avatar_split_clause,[],[f154,f1736,f489]) ).

fof(f154,axiom,
    ( c0_1(a627)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f1734,plain,
    ( ~ spl0_1
    | spl0_208
    | spl0_116 ),
    inference(avatar_split_clause,[],[f289,f866,f1330,f330]) ).

fof(f289,axiom,
    ! [X0] :
      ( hskp6
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause289) ).

fof(f1733,plain,
    ( ~ spl0_79
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f231,f1730,f688]) ).

fof(f688,plain,
    ( spl0_79
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f231,axiom,
    ( ~ c0_1(a642)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause231) ).

fof(f1723,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_154 ),
    inference(avatar_split_clause,[],[f301,f1050,f338,f330]) ).

fof(f301,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause301) ).

fof(f1717,plain,
    ( ~ spl0_67
    | spl0_1 ),
    inference(avatar_split_clause,[],[f40,f330,f627]) ).

fof(f627,plain,
    ( spl0_67
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f40,axiom,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f1710,plain,
    ( spl0_58
    | spl0_154
    | ~ spl0_1
    | spl0_38 ),
    inference(avatar_split_clause,[],[f286,f494,f330,f1050,f584]) ).

fof(f584,plain,
    ( spl0_58
  <=> hskp54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f494,plain,
    ( spl0_38
  <=> hskp37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f286,axiom,
    ! [X0] :
      ( hskp37
      | ~ ndr1_0
      | c0_1(X0)
      | hskp54
      | c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause286) ).

fof(f1709,plain,
    ( spl0_3
    | spl0_149
    | spl0_278
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f326,f330,f1707,f1030,f338]) ).

fof(f326,axiom,
    ! [X2,X0,X1] :
      ( ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause326) ).

fof(f1704,plain,
    ( ~ spl0_277
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f211,f409,f1701]) ).

fof(f409,plain,
    ( spl0_19
  <=> hskp32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f211,axiom,
    ( ~ hskp32
    | ~ c3_1(a677) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause211) ).

fof(f1699,plain,
    ( ~ spl0_11
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f177,f1696,f373]) ).

fof(f373,plain,
    ( spl0_11
  <=> hskp61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f177,axiom,
    ( ~ c1_1(a670)
    | ~ hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f1694,plain,
    ( spl0_275
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f160,f589,f1691]) ).

fof(f160,axiom,
    ( ~ hskp9
    | c1_1(a613) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f1689,plain,
    ( ~ spl0_47
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f254,f1686,f532]) ).

fof(f532,plain,
    ( spl0_47
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f254,axiom,
    ( ~ c3_1(a620)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause254) ).

fof(f1684,plain,
    ( spl0_273
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f99,f539,f1681]) ).

fof(f539,plain,
    ( spl0_48
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f99,axiom,
    ( ~ hskp53
    | c3_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f1673,plain,
    ( ~ spl0_138
    | spl0_271 ),
    inference(avatar_split_clause,[],[f168,f1670,f974]) ).

fof(f974,plain,
    ( spl0_138
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f168,axiom,
    ( c0_1(a598)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f1668,plain,
    ( ~ spl0_1
    | spl0_241
    | spl0_87
    | spl0_209 ),
    inference(avatar_split_clause,[],[f324,f1334,f725,f1508,f330]) ).

fof(f324,axiom,
    ! [X2,X0,X1] :
      ( ~ c0_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause324) ).

fof(f1666,plain,
    ( spl0_87
    | ~ spl0_1
    | spl0_241
    | spl0_153 ),
    inference(avatar_split_clause,[],[f325,f1047,f1508,f330,f725]) ).

fof(f325,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | c1_1(X1)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause325) ).

fof(f1665,plain,
    ( ~ spl0_114
    | spl0_270 ),
    inference(avatar_split_clause,[],[f96,f1662,f856]) ).

fof(f96,axiom,
    ( c1_1(a653)
    | ~ hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f1660,plain,
    ( spl0_269
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f145,f688,f1657]) ).

fof(f145,axiom,
    ( ~ hskp23
    | c2_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f1655,plain,
    ( ~ spl0_20
    | spl0_268 ),
    inference(avatar_split_clause,[],[f117,f1652,f414]) ).

fof(f414,plain,
    ( spl0_20
  <=> hskp43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f117,axiom,
    ( c0_1(a619)
    | ~ hskp43 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f1645,plain,
    ( spl0_126
    | ~ spl0_1
    | spl0_114
    | spl0_209 ),
    inference(avatar_split_clause,[],[f287,f1334,f856,f330,f915]) ).

fof(f287,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | hskp55
      | c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause287) ).

fof(f1644,plain,
    ( spl0_218
    | spl0_82
    | spl0_64 ),
    inference(avatar_split_clause,[],[f75,f614,f703,f1381]) ).

fof(f1381,plain,
    ( spl0_218
  <=> hskp64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f703,plain,
    ( spl0_82
  <=> hskp65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f614,plain,
    ( spl0_64
  <=> hskp66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f75,axiom,
    ( hskp66
    | hskp65
    | hskp64 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f1643,plain,
    ( ~ spl0_92
    | spl0_266 ),
    inference(avatar_split_clause,[],[f132,f1640,f749]) ).

fof(f749,plain,
    ( spl0_92
  <=> hskp36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f132,axiom,
    ( c0_1(a605)
    | ~ hskp36 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f1633,plain,
    ( ~ spl0_115
    | spl0_264 ),
    inference(avatar_split_clause,[],[f162,f1630,f861]) ).

fof(f861,plain,
    ( spl0_115
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f162,axiom,
    ( c3_1(a612)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f1628,plain,
    ( ~ spl0_82
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f172,f1625,f703]) ).

fof(f172,axiom,
    ( ~ c1_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f1615,plain,
    ( spl0_261
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f128,f672,f1612]) ).

fof(f672,plain,
    ( spl0_76
  <=> hskp38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f128,axiom,
    ( ~ hskp38
    | c0_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f1610,plain,
    ( ~ spl0_1
    | spl0_89
    | spl0_154 ),
    inference(avatar_split_clause,[],[f299,f1050,f736,f330]) ).

fof(f299,axiom,
    ! [X0,X1] :
      ( c3_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause299) ).

fof(f1609,plain,
    ( ~ spl0_47
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f253,f1606,f532]) ).

fof(f253,axiom,
    ( ~ c0_1(a620)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause253) ).

fof(f1589,plain,
    ( ~ spl0_1
    | spl0_153
    | spl0_121
    | spl0_56 ),
    inference(avatar_split_clause,[],[f306,f576,f891,f1047,f330]) ).

fof(f891,plain,
    ( spl0_121
  <=> hskp56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f306,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | hskp56
      | ~ c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause306) ).

fof(f1583,plain,
    ( ~ spl0_38
    | spl0_255 ),
    inference(avatar_split_clause,[],[f130,f1580,f494]) ).

fof(f130,axiom,
    ( c0_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f1578,plain,
    ( ~ spl0_1
    | spl0_76
    | spl0_254
    | spl0_242 ),
    inference(avatar_split_clause,[],[f302,f1512,f1576,f672,f330]) ).

fof(f302,axiom,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X1)
      | hskp38
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X1)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause302) ).

fof(f1574,plain,
    ( ~ spl0_253
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f188,f506,f1571]) ).

fof(f188,axiom,
    ( ~ hskp52
    | ~ c2_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f1569,plain,
    ( spl0_51
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1,f754,f554]) ).

fof(f554,plain,
    ( spl0_51
  <=> hskp59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f754,plain,
    ( spl0_93
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1,axiom,
    ( hskp30
    | hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f1550,plain,
    ( ~ spl0_1
    | spl0_241
    | spl0_249
    | spl0_136 ),
    inference(avatar_split_clause,[],[f327,f965,f1548,f1508,f330]) ).

fof(f327,axiom,
    ! [X2,X0,X1] :
      ( ~ c3_1(X2)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | c2_1(X2)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause327) ).

fof(f1541,plain,
    ( ~ spl0_247
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f173,f1381,f1538]) ).

fof(f173,axiom,
    ( ~ hskp64
    | ~ c0_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f1536,plain,
    ( ~ spl0_246
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f185,f856,f1533]) ).

fof(f185,axiom,
    ( ~ hskp55
    | ~ c2_1(a653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f1530,plain,
    ( ~ spl0_1
    | spl0_44
    | spl0_245
    | spl0_36 ),
    inference(avatar_split_clause,[],[f328,f486,f1528,f520,f330]) ).

fof(f328,axiom,
    ! [X2,X0,X1] :
      ( ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause328) ).

fof(f1526,plain,
    ( ~ spl0_1
    | spl0_92
    | spl0_209
    | spl0_208 ),
    inference(avatar_split_clause,[],[f315,f1330,f1334,f749,f330]) ).

fof(f315,axiom,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | hskp36
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause315) ).

fof(f1519,plain,
    ( ~ spl0_138
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f274,f1516,f974]) ).

fof(f274,axiom,
    ( ~ c1_1(a598)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause274) ).

fof(f1510,plain,
    ( spl0_151
    | spl0_56
    | spl0_241
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f308,f330,f1508,f576,f1038]) ).

fof(f1038,plain,
    ( spl0_151
  <=> hskp45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f308,axiom,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | hskp45
      | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause308) ).

fof(f1504,plain,
    ( ~ spl0_45
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f202,f1501,f524]) ).

fof(f524,plain,
    ( spl0_45
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f202,axiom,
    ( ~ c3_1(a618)
    | ~ hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f1487,plain,
    ( ~ spl0_47
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f255,f1484,f532]) ).

fof(f255,axiom,
    ( ~ c1_1(a620)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause255) ).

fof(f1482,plain,
    ( ~ spl0_236
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f187,f539,f1479]) ).

fof(f187,axiom,
    ( ~ hskp53
    | ~ c2_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f1467,plain,
    ( spl0_233
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f114,f1038,f1464]) ).

fof(f114,axiom,
    ( ~ hskp45
    | c2_1(a623) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f1451,plain,
    ( ~ spl0_93
    | spl0_230 ),
    inference(avatar_split_clause,[],[f140,f1448,f754]) ).

fof(f140,axiom,
    ( c0_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f1446,plain,
    ( ~ spl0_229
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f201,f524,f1443]) ).

fof(f201,axiom,
    ( ~ hskp42
    | ~ c2_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f1440,plain,
    ( ~ spl0_228
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f243,f382,f1437]) ).

fof(f243,axiom,
    ( ~ hskp17
    | ~ c1_1(a628) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause243) ).

fof(f1429,plain,
    ( ~ spl0_176
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f235,f1426,f1165]) ).

fof(f235,axiom,
    ( ~ c1_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause235) ).

fof(f1413,plain,
    ( ~ spl0_223
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f263,f866,f1410]) ).

fof(f263,axiom,
    ( ~ hskp6
    | ~ c0_1(a609) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause263) ).

fof(f1408,plain,
    ( spl0_222
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f170,f391,f1405]) ).

fof(f391,plain,
    ( spl0_15
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f170,axiom,
    ( ~ hskp0
    | c0_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f1403,plain,
    ( ~ spl0_115
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f260,f1400,f861]) ).

fof(f260,axiom,
    ( ~ c1_1(a612)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause260) ).

fof(f1390,plain,
    ( spl0_112
    | spl0_150
    | ~ spl0_1
    | spl0_45 ),
    inference(avatar_split_clause,[],[f300,f524,f330,f1033,f848]) ).

fof(f300,axiom,
    ! [X0,X1] :
      ( hskp42
      | ~ ndr1_0
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause300) ).

fof(f1389,plain,
    ( spl0_219
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f81,f1381,f1386]) ).

fof(f81,axiom,
    ( ~ hskp64
    | c1_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f1384,plain,
    ( spl0_217
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f80,f1381,f1377]) ).

fof(f80,axiom,
    ( ~ hskp64
    | c3_1(a673) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f1374,plain,
    ( spl0_24
    | spl0_67
    | spl0_55 ),
    inference(avatar_split_clause,[],[f73,f572,f627,f432]) ).

fof(f432,plain,
    ( spl0_24
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f572,plain,
    ( spl0_55
  <=> hskp40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f73,axiom,
    ( hskp40
    | hskp28
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f1373,plain,
    ( ~ spl0_26
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f203,f1370,f441]) ).

fof(f441,plain,
    ( spl0_26
  <=> hskp41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f203,axiom,
    ( ~ c1_1(a617)
    | ~ hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f1368,plain,
    ( ~ spl0_82
    | spl0_215 ),
    inference(avatar_split_clause,[],[f78,f1365,f703]) ).

fof(f78,axiom,
    ( c2_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f1352,plain,
    ( spl0_212
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f86,f455,f1349]) ).

fof(f455,plain,
    ( spl0_29
  <=> hskp60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f86,axiom,
    ( ~ hskp60
    | c0_1(a669) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f1346,plain,
    ( ~ spl0_211
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f228,f499,f1343]) ).

fof(f228,axiom,
    ( ~ hskp25
    | ~ c0_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause228) ).

fof(f1336,plain,
    ( ~ spl0_1
    | spl0_112
    | spl0_45
    | spl0_209 ),
    inference(avatar_split_clause,[],[f303,f1334,f524,f848,f330]) ).

fof(f303,axiom,
    ! [X0,X1] :
      ( c2_1(X0)
      | hskp42
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause303) ).

fof(f1328,plain,
    ( spl0_207
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f144,f652,f1325]) ).

fof(f144,axiom,
    ( ~ hskp24
    | c3_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f1313,plain,
    ( ~ spl0_37
    | ~ spl0_204 ),
    inference(avatar_split_clause,[],[f244,f1310,f489]) ).

fof(f244,axiom,
    ( ~ c3_1(a627)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause244) ).

fof(f1303,plain,
    ( spl0_202
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f127,f672,f1300]) ).

fof(f127,axiom,
    ( ~ hskp38
    | c3_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f1298,plain,
    ( spl0_72
    | spl0_149
    | ~ spl0_1
    | spl0_79 ),
    inference(avatar_split_clause,[],[f294,f688,f330,f1030,f652]) ).

fof(f294,axiom,
    ! [X0] :
      ( hskp23
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | hskp24
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).

fof(f1297,plain,
    ( ~ spl0_15
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f275,f1294,f391]) ).

fof(f275,axiom,
    ( ~ c3_1(a597)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause275) ).

fof(f1292,plain,
    ( ~ spl0_138
    | spl0_200 ),
    inference(avatar_split_clause,[],[f169,f1289,f974]) ).

fof(f169,axiom,
    ( c2_1(a598)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f1271,plain,
    ( ~ spl0_41
    | spl0_196 ),
    inference(avatar_split_clause,[],[f101,f1268,f506]) ).

fof(f101,axiom,
    ( c0_1(a647)
    | ~ hskp52 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f1266,plain,
    ( ~ spl0_195
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f237,f1165,f1263]) ).

fof(f237,axiom,
    ( ~ hskp20
    | ~ c3_1(a635) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause237) ).

fof(f1239,plain,
    ( ~ spl0_51
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f180,f1236,f554]) ).

fof(f180,axiom,
    ( ~ c0_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f1234,plain,
    ( ~ spl0_126
    | spl0_189 ),
    inference(avatar_split_clause,[],[f142,f1231,f915]) ).

fof(f142,axiom,
    ( c3_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f1219,plain,
    ( spl0_186
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f152,f382,f1216]) ).

fof(f152,axiom,
    ( ~ hskp17
    | c3_1(a628) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f1214,plain,
    ( ~ spl0_115
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f259,f1211,f861]) ).

fof(f259,axiom,
    ( ~ c2_1(a612)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause259) ).

fof(f1197,plain,
    ( ~ spl0_79
    | spl0_182 ),
    inference(avatar_split_clause,[],[f146,f1194,f688]) ).

fof(f146,axiom,
    ( c3_1(a642)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f1192,plain,
    ( spl0_181
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f100,f539,f1189]) ).

fof(f100,axiom,
    ( ~ hskp53
    | c0_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f1187,plain,
    ( spl0_180
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f161,f589,f1184]) ).

fof(f161,axiom,
    ( ~ hskp9
    | c2_1(a613) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f1182,plain,
    ( spl0_179
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f118,f524,f1179]) ).

fof(f118,axiom,
    ( ~ hskp42
    | c1_1(a618) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f1177,plain,
    ( spl0_178
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f79,f703,f1174]) ).

fof(f79,axiom,
    ( ~ hskp65
    | c0_1(a674) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f1172,plain,
    ( ~ spl0_176
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f236,f1169,f1165]) ).

fof(f236,axiom,
    ( ~ c2_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause236) ).

fof(f1156,plain,
    ( ~ spl0_174
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f186,f584,f1153]) ).

fof(f186,axiom,
    ( ~ hskp54
    | ~ c0_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f1150,plain,
    ( ~ spl0_173
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f266,f516,f1147]) ).

fof(f516,plain,
    ( spl0_43
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f266,axiom,
    ( ~ hskp5
    | ~ c3_1(a606) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause266) ).

fof(f1145,plain,
    ( ~ spl0_172
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f181,f604,f1142]) ).

fof(f181,axiom,
    ( ~ hskp58
    | ~ c0_1(a663) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f1131,plain,
    ( spl0_43
    | spl0_134
    | ~ spl0_1
    | spl0_153 ),
    inference(avatar_split_clause,[],[f312,f1047,f330,f958,f516]) ).

fof(f312,axiom,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | ~ c0_1(X1)
      | c2_1(X1)
      | hskp5
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause312) ).

fof(f1126,plain,
    ( ~ spl0_93
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f216,f1123,f754]) ).

fof(f216,axiom,
    ( ~ c3_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause216) ).

fof(f1120,plain,
    ( ~ spl0_151
    | spl0_167 ),
    inference(avatar_split_clause,[],[f113,f1117,f1038]) ).

fof(f113,axiom,
    ( c3_1(a623)
    | ~ hskp45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f1115,plain,
    ( spl0_166
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f119,f441,f1112]) ).

fof(f119,axiom,
    ( ~ hskp41
    | c2_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f1105,plain,
    ( ~ spl0_121
    | spl0_164 ),
    inference(avatar_split_clause,[],[f94,f1102,f891]) ).

fof(f94,axiom,
    ( c3_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f1100,plain,
    ( ~ spl0_59
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f258,f1097,f589]) ).

fof(f258,axiom,
    ( ~ c3_1(a613)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause258) ).

fof(f1071,plain,
    ( ~ spl0_8
    | spl0_157 ),
    inference(avatar_split_clause,[],[f136,f1068,f359]) ).

fof(f359,plain,
    ( spl0_8
  <=> hskp33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f136,axiom,
    ( c0_1(a599)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f1066,plain,
    ( spl0_156
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f153,f489,f1063]) ).

fof(f153,axiom,
    ( ~ hskp16
    | c2_1(a627) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f1061,plain,
    ( spl0_8
    | spl0_29
    | spl0_11 ),
    inference(avatar_split_clause,[],[f74,f373,f455,f359]) ).

fof(f74,axiom,
    ( hskp61
    | hskp60
    | hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f1060,plain,
    ( ~ spl0_1
    | spl0_62
    | spl0_26
    | spl0_136 ),
    inference(avatar_split_clause,[],[f295,f965,f441,f604,f330]) ).

fof(f295,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
      | hskp41
      | hskp58
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).

fof(f1058,plain,
    ( spl0_138
    | ~ spl0_1
    | spl0_112
    | spl0_15 ),
    inference(avatar_split_clause,[],[f280,f391,f848,f330,f974]) ).

fof(f280,axiom,
    ! [X0] :
      ( hskp0
      | c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp1
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause280) ).

fof(f1057,plain,
    ( ~ spl0_121
    | spl0_155 ),
    inference(avatar_split_clause,[],[f93,f1054,f891]) ).

fof(f93,axiom,
    ( c2_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f1052,plain,
    ( ~ spl0_1
    | spl0_153
    | spl0_114
    | spl0_154 ),
    inference(avatar_split_clause,[],[f305,f1050,f856,f1047,f330]) ).

fof(f305,axiom,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | hskp55
      | c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause305) ).

fof(f1035,plain,
    ( spl0_112
    | ~ spl0_1
    | spl0_149
    | spl0_150 ),
    inference(avatar_split_clause,[],[f321,f1033,f1030,f330,f848]) ).

fof(f321,axiom,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause321) ).

fof(f967,plain,
    ( spl0_135
    | spl0_120
    | ~ spl0_1
    | spl0_136 ),
    inference(avatar_split_clause,[],[f322,f965,f330,f887,f962]) ).

fof(f322,axiom,
    ! [X2,X0,X1] :
      ( c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | c3_1(X2)
      | ~ c3_1(X1)
      | c2_1(X2)
      | ~ c0_1(X0)
      | c0_1(X2)
      | c1_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause322) ).

fof(f960,plain,
    ( spl0_26
    | ~ spl0_1
    | spl0_134
    | spl0_46 ),
    inference(avatar_split_clause,[],[f314,f529,f958,f330,f441]) ).

fof(f314,axiom,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | hskp41
      | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause314) ).

fof(f949,plain,
    ( spl0_132
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f165,f516,f946]) ).

fof(f165,axiom,
    ( ~ hskp5
    | c2_1(a606) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f939,plain,
    ( ~ spl0_19
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f212,f936,f409]) ).

fof(f212,axiom,
    ( ~ c2_1(a677)
    | ~ hskp32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause212) ).

fof(f934,plain,
    ( ~ spl0_29
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f179,f931,f455]) ).

fof(f179,axiom,
    ( ~ c2_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f927,plain,
    ( ~ spl0_128
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f171,f614,f924]) ).

fof(f171,axiom,
    ( ~ hskp66
    | ~ c2_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f922,plain,
    ( ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f226,f919,f915]) ).

fof(f226,axiom,
    ( ~ c2_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause226) ).

fof(f908,plain,
    ( ~ spl0_43
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f265,f905,f516]) ).

fof(f265,axiom,
    ( ~ c0_1(a606)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause265) ).

fof(f898,plain,
    ( ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f184,f895,f891]) ).

fof(f184,axiom,
    ( ~ c1_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f885,plain,
    ( ~ spl0_93
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f215,f882,f754]) ).

fof(f215,axiom,
    ( ~ c2_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause215) ).

fof(f873,plain,
    ( ~ spl0_116
    | spl0_117 ),
    inference(avatar_split_clause,[],[f164,f870,f866]) ).

fof(f164,axiom,
    ( c2_1(a609)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f864,plain,
    ( spl0_59
    | ~ spl0_1
    | spl0_115
    | spl0_89 ),
    inference(avatar_split_clause,[],[f277,f736,f861,f330,f589]) ).

fof(f277,axiom,
    ! [X0] :
      ( c3_1(X0)
      | c1_1(X0)
      | hskp8
      | ~ ndr1_0
      | c2_1(X0)
      | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause277) ).

fof(f859,plain,
    ( spl0_113
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f95,f856,f852]) ).

fof(f95,axiom,
    ( ~ hskp55
    | c3_1(a653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f850,plain,
    ( spl0_13
    | ~ spl0_1
    | spl0_48
    | spl0_112 ),
    inference(avatar_split_clause,[],[f285,f848,f539,f330,f382]) ).

fof(f285,axiom,
    ! [X0] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | hskp53
      | ~ ndr1_0
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause285) ).

fof(f846,plain,
    ( ~ spl0_111
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f227,f499,f843]) ).

fof(f227,axiom,
    ( ~ hskp25
    | ~ c2_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause227) ).

fof(f840,plain,
    ( spl0_19
    | spl0_93
    | ~ spl0_1
    | spl0_87 ),
    inference(avatar_split_clause,[],[f296,f725,f330,f754,f409]) ).

fof(f296,axiom,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | hskp30
      | hskp32
      | c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause296) ).

fof(f839,plain,
    ( ~ spl0_110
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f206,f749,f836]) ).

fof(f206,axiom,
    ( ~ hskp36
    | ~ c3_1(a605) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

fof(f777,plain,
    ( spl0_97
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f77,f614,f774]) ).

fof(f77,axiom,
    ( ~ hskp66
    | c3_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f752,plain,
    ( spl0_91
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f131,f749,f745]) ).

fof(f131,axiom,
    ( ~ hskp36
    | c1_1(a605) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f734,plain,
    ( ~ spl0_55
    | spl0_1 ),
    inference(avatar_split_clause,[],[f28,f330,f572]) ).

fof(f28,axiom,
    ( ndr1_0
    | ~ hskp40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f732,plain,
    ( spl0_88
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f137,f359,f729]) ).

fof(f137,axiom,
    ( ~ hskp33
    | c3_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f727,plain,
    ( ~ spl0_1
    | spl0_86
    | spl0_87 ),
    inference(avatar_split_clause,[],[f316,f725,f722,f330]) ).

fof(f316,axiom,
    ! [X0,X1] :
      ( c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause316) ).

fof(f720,plain,
    ( ~ spl0_38
    | spl0_85 ),
    inference(avatar_split_clause,[],[f129,f717,f494]) ).

fof(f129,axiom,
    ( c1_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f696,plain,
    ( spl0_80
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f89,f554,f693]) ).

fof(f89,axiom,
    ( ~ hskp59
    | c3_1(a665) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f680,plain,
    ( ~ spl0_72
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f229,f677,f652]) ).

fof(f229,axiom,
    ( ~ c0_1(a643)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause229) ).

fof(f675,plain,
    ( spl0_75
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f126,f672,f668]) ).

fof(f126,axiom,
    ( ~ hskp38
    | c1_1(a608) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f665,plain,
    ( ~ spl0_74
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f178,f373,f662]) ).

fof(f178,axiom,
    ( ~ hskp61
    | ~ c0_1(a670) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f660,plain,
    ( ~ spl0_58
    | spl0_73 ),
    inference(avatar_split_clause,[],[f98,f657,f584]) ).

fof(f98,axiom,
    ( c2_1(a651)
    | ~ hskp54 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f635,plain,
    ( ~ spl0_68
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f205,f494,f632]) ).

fof(f205,axiom,
    ( ~ hskp37
    | ~ c2_1(a607) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f621,plain,
    ( ~ spl0_64
    | spl0_65 ),
    inference(avatar_split_clause,[],[f76,f618,f614]) ).

fof(f76,axiom,
    ( c1_1(a675)
    | ~ hskp66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f607,plain,
    ( spl0_61
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f90,f604,f600]) ).

fof(f90,axiom,
    ( ~ hskp58
    | c3_1(a663) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f587,plain,
    ( spl0_57
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f97,f584,f580]) ).

fof(f97,axiom,
    ( ~ hskp54
    | c3_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f561,plain,
    ( ~ spl0_51
    | spl0_52 ),
    inference(avatar_split_clause,[],[f88,f558,f554]) ).

fof(f88,axiom,
    ( c2_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f535,plain,
    ( spl0_46
    | spl0_47
    | ~ spl0_1
    | spl0_20 ),
    inference(avatar_split_clause,[],[f291,f414,f330,f532,f529]) ).

fof(f291,axiom,
    ! [X0] :
      ( hskp43
      | ~ ndr1_0
      | hskp12
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause291) ).

fof(f522,plain,
    ( spl0_43
    | spl0_38
    | ~ spl0_1
    | spl0_44 ),
    inference(avatar_split_clause,[],[f298,f520,f330,f494,f516]) ).

fof(f298,axiom,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | hskp37
      | hskp5
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause298) ).

fof(f514,plain,
    ( ~ spl0_11
    | spl0_42 ),
    inference(avatar_split_clause,[],[f85,f511,f373]) ).

fof(f85,axiom,
    ( c2_1(a670)
    | ~ hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f509,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_1
    | spl0_41 ),
    inference(avatar_split_clause,[],[f284,f506,f330,f503,f499]) ).

fof(f284,axiom,
    ! [X0] :
      ( hskp52
      | ~ ndr1_0
      | c2_1(X0)
      | hskp25
      | c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).

fof(f462,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f87,f459,f455]) ).

fof(f87,axiom,
    ( c1_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f444,plain,
    ( spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f120,f441,f437]) ).

fof(f120,axiom,
    ( ~ hskp41
    | c3_1(a617) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f435,plain,
    ( ~ spl0_24
    | spl0_1 ),
    inference(avatar_split_clause,[],[f41,f330,f432]) ).

fof(f41,axiom,
    ( ndr1_0
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f421,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f200,f418,f414]) ).

fof(f200,axiom,
    ( ~ c1_1(a619)
    | ~ hskp43 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f412,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f138,f409,f405]) ).

fof(f138,axiom,
    ( ~ hskp32
    | c0_1(a677) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f394,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f276,f391,f387]) ).

fof(f276,axiom,
    ( ~ hskp0
    | ~ c1_1(a597) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).

fof(f385,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f242,f382,f378]) ).

fof(f242,axiom,
    ( ~ hskp17
    | ~ c2_1(a628) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause242) ).

fof(f362,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f210,f359,f355]) ).

fof(f210,axiom,
    ( ~ hskp33
    | ~ c2_1(a599) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause210) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SYN440-1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 22:07:06 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  % (20332)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (20340)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.52  % (20329)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (20346)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)
% 0.21/0.53  % (20348)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)
% 0.21/0.53  % (20331)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53  % (20322)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)
% 0.21/0.54  % (20341)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)
% 0.21/0.54  % (20333)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)
% 0.21/0.54  % (20324)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)
% 0.21/0.55  % (20323)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (20326)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (20320)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)
% 0.21/0.55  % (20321)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)
% 0.21/0.55  % (20330)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)
% 0.21/0.55  % (20325)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)
% 0.21/0.55  % (20327)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (20328)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)
% 0.21/0.55  % (20327)Instruction limit reached!
% 0.21/0.55  % (20327)------------------------------
% 0.21/0.55  % (20327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (20327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (20327)Termination reason: Unknown
% 0.21/0.55  % (20327)Termination phase: shuffling
% 0.21/0.55  
% 0.21/0.55  % (20327)Memory used [KB]: 1151
% 0.21/0.55  % (20327)Time elapsed: 0.002 s
% 0.21/0.55  % (20327)Instructions burned: 2 (million)
% 0.21/0.55  % (20327)------------------------------
% 0.21/0.55  % (20327)------------------------------
% 0.21/0.56  % (20344)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56  % (20347)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56  % (20339)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)
% 0.21/0.56  % (20345)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)
% 0.21/0.56  % (20343)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.56  % (20334)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.52/0.56  % (20338)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56  % (20319)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)
% 1.52/0.56  % (20337)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56  % (20342)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.52/0.57  Detected maximum model sizes of [67]
% 1.52/0.57  TRYING [1]
% 1.52/0.57  TRYING [2]
% 1.52/0.57  Detected maximum model sizes of [67]
% 1.52/0.57  % (20335)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.52/0.57  % (20326)Instruction limit reached!
% 1.52/0.57  % (20326)------------------------------
% 1.52/0.57  % (20326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57  TRYING [1]
% 1.52/0.57  TRYING [2]
% 1.52/0.57  % (20326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57  % (20326)Termination reason: Unknown
% 1.52/0.57  % (20326)Termination phase: Saturation
% 1.52/0.57  
% 1.52/0.57  % (20326)Memory used [KB]: 6396
% 1.52/0.57  % (20326)Time elapsed: 0.007 s
% 1.52/0.57  % (20326)Instructions burned: 7 (million)
% 1.52/0.57  % (20326)------------------------------
% 1.52/0.57  % (20326)------------------------------
% 1.52/0.57  % (20336)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.58  TRYING [3]
% 1.52/0.58  TRYING [4]
% 1.67/0.58  TRYING [3]
% 1.67/0.59  % (20320)Refutation not found, incomplete strategy% (20320)------------------------------
% 1.67/0.59  % (20320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59  % (20320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59  % (20320)Termination reason: Refutation not found, incomplete strategy
% 1.67/0.59  
% 1.67/0.59  % (20320)Memory used [KB]: 6780
% 1.67/0.59  % (20320)Time elapsed: 0.163 s
% 1.67/0.59  % (20320)Instructions burned: 25 (million)
% 1.67/0.59  % (20320)------------------------------
% 1.67/0.59  % (20320)------------------------------
% 1.67/0.59  % (20329)Instruction limit reached!
% 1.67/0.59  % (20329)------------------------------
% 1.67/0.59  % (20329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59  % (20329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59  % (20329)Termination reason: Unknown
% 1.67/0.59  % (20329)Termination phase: Saturation
% 1.67/0.59  
% 1.67/0.59  % (20329)Memory used [KB]: 7291
% 1.67/0.59  % (20329)Time elapsed: 0.173 s
% 1.67/0.59  % (20329)Instructions burned: 50 (million)
% 1.67/0.59  % (20329)------------------------------
% 1.67/0.59  % (20329)------------------------------
% 1.67/0.60  Detected maximum model sizes of [67]
% 1.67/0.60  TRYING [1]
% 1.67/0.60  TRYING [2]
% 1.67/0.61  TRYING [4]
% 1.67/0.61  % (20322)Instruction limit reached!
% 1.67/0.61  % (20322)------------------------------
% 1.67/0.61  % (20322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61  % (20322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61  % (20322)Termination reason: Unknown
% 1.67/0.61  % (20322)Termination phase: Saturation
% 1.67/0.61  
% 1.67/0.61  % (20322)Memory used [KB]: 7164
% 1.67/0.61  % (20322)Time elapsed: 0.191 s
% 1.67/0.61  % (20322)Instructions burned: 51 (million)
% 1.67/0.61  % (20322)------------------------------
% 1.67/0.61  % (20322)------------------------------
% 1.67/0.62  TRYING [5]
% 1.67/0.62  TRYING [3]
% 1.67/0.62  % (20321)Instruction limit reached!
% 1.67/0.62  % (20321)------------------------------
% 1.67/0.62  % (20321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.62  % (20321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.62  % (20321)Termination reason: Unknown
% 1.67/0.62  % (20321)Termination phase: Saturation
% 1.67/0.62  
% 1.67/0.63  % (20321)Memory used [KB]: 1407
% 1.67/0.63  % (20321)Time elapsed: 0.191 s
% 1.67/0.63  % (20321)Instructions burned: 39 (million)
% 1.67/0.63  % (20321)------------------------------
% 1.67/0.63  % (20321)------------------------------
% 1.67/0.63  % (20328)Instruction limit reached!
% 1.67/0.63  % (20328)------------------------------
% 1.67/0.63  % (20328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64  % (20325)Instruction limit reached!
% 2.03/0.64  % (20325)------------------------------
% 2.03/0.64  % (20325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64  % (20325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64  % (20325)Termination reason: Unknown
% 2.03/0.64  % (20325)Termination phase: Finite model building SAT solving
% 2.03/0.64  
% 2.03/0.64  % (20325)Memory used [KB]: 6396
% 2.03/0.64  % (20325)Time elapsed: 0.162 s
% 2.03/0.64  % (20325)Instructions burned: 51 (million)
% 2.03/0.64  % (20325)------------------------------
% 2.03/0.64  % (20325)------------------------------
% 2.03/0.64  % (20328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64  % (20328)Termination reason: Unknown
% 2.03/0.64  % (20328)Termination phase: Saturation
% 2.03/0.64  
% 2.03/0.64  % (20328)Memory used [KB]: 1535
% 2.03/0.64  % (20328)Time elapsed: 0.214 s
% 2.03/0.64  % (20328)Instructions burned: 51 (million)
% 2.03/0.64  % (20328)------------------------------
% 2.03/0.64  % (20328)------------------------------
% 2.03/0.64  % (20324)Instruction limit reached!
% 2.03/0.64  % (20324)------------------------------
% 2.03/0.64  % (20324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65  % (20323)Instruction limit reached!
% 2.15/0.65  % (20323)------------------------------
% 2.15/0.65  % (20323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65  % (20323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65  % (20323)Termination reason: Unknown
% 2.15/0.65  % (20323)Termination phase: Saturation
% 2.15/0.65  
% 2.15/0.65  % (20323)Memory used [KB]: 7419
% 2.15/0.65  % (20323)Time elapsed: 0.236 s
% 2.15/0.65  % (20323)Instructions burned: 53 (million)
% 2.15/0.65  % (20323)------------------------------
% 2.15/0.65  % (20323)------------------------------
% 2.15/0.65  TRYING [4]
% 2.15/0.66  % (20324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (20324)Termination reason: Unknown
% 2.15/0.66  % (20324)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (20324)Memory used [KB]: 7164
% 2.15/0.66  % (20324)Time elapsed: 0.228 s
% 2.15/0.66  % (20324)Instructions burned: 49 (million)
% 2.15/0.66  % (20324)------------------------------
% 2.15/0.66  % (20324)------------------------------
% 2.15/0.66  % (20349)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.15/0.67  % (20334)Instruction limit reached!
% 2.15/0.67  % (20334)------------------------------
% 2.15/0.67  % (20334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (20334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67  % (20334)Termination reason: Unknown
% 2.15/0.67  % (20334)Termination phase: Saturation
% 2.15/0.67  
% 2.15/0.67  % (20334)Memory used [KB]: 1407
% 2.15/0.67  % (20334)Time elapsed: 0.256 s
% 2.15/0.67  % (20334)Instructions burned: 75 (million)
% 2.15/0.67  % (20334)------------------------------
% 2.15/0.67  % (20334)------------------------------
% 2.15/0.67  % (20332)Instruction limit reached!
% 2.15/0.67  % (20332)------------------------------
% 2.15/0.67  % (20332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (20348)First to succeed.
% 2.15/0.67  % (20345)Instruction limit reached!
% 2.15/0.67  % (20345)------------------------------
% 2.15/0.67  % (20345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (20345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67  % (20345)Termination reason: Unknown
% 2.15/0.67  % (20345)Termination phase: Saturation
% 2.15/0.67  
% 2.15/0.67  % (20345)Memory used [KB]: 6652
% 2.15/0.67  % (20345)Time elapsed: 0.038 s
% 2.15/0.67  % (20345)Instructions burned: 69 (million)
% 2.15/0.67  % (20345)------------------------------
% 2.15/0.67  % (20345)------------------------------
% 2.15/0.68  % (20333)Instruction limit reached!
% 2.15/0.68  % (20333)------------------------------
% 2.15/0.68  % (20333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.68  % (20333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.68  % (20333)Termination reason: Unknown
% 2.15/0.68  % (20333)Termination phase: Saturation
% 2.15/0.68  
% 2.15/0.68  % (20333)Memory used [KB]: 6652
% 2.15/0.68  % (20333)Time elapsed: 0.039 s
% 2.15/0.68  % (20333)Instructions burned: 70 (million)
% 2.15/0.68  % (20333)------------------------------
% 2.15/0.68  % (20333)------------------------------
% 2.15/0.68  % (20336)Instruction limit reached!
% 2.15/0.68  % (20336)------------------------------
% 2.15/0.68  % (20336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.68  % (20336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.68  % (20336)Termination reason: Unknown
% 2.15/0.68  % (20336)Termination phase: Finite model building SAT solving
% 2.15/0.68  
% 2.15/0.68  % (20336)Memory used [KB]: 6524
% 2.15/0.68  % (20336)Time elapsed: 0.241 s
% 2.15/0.68  % (20336)Instructions burned: 60 (million)
% 2.15/0.68  % (20336)------------------------------
% 2.15/0.68  % (20336)------------------------------
% 2.15/0.69  % (20350)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.15/0.69  % (20348)Refutation found. Thanks to Tanya!
% 2.15/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.15/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.70  % (20348)------------------------------
% 2.15/0.70  % (20348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.70  % (20348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.70  % (20348)Termination reason: Refutation
% 2.15/0.70  
% 2.15/0.70  % (20348)Memory used [KB]: 7931
% 2.15/0.70  % (20348)Time elapsed: 0.231 s
% 2.15/0.70  % (20348)Instructions burned: 77 (million)
% 2.15/0.70  % (20348)------------------------------
% 2.15/0.70  % (20348)------------------------------
% 2.15/0.70  % (20318)Success in time 0.322 s
%------------------------------------------------------------------------------