TSTP Solution File: SYN457+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN457+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:10:30 EDT 2024

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  214
% Syntax   : Number of formulae    : 1021 (   1 unt;   0 def)
%            Number of atoms       : 8165 (   0 equ)
%            Maximal formula atoms :  827 (   7 avg)
%            Number of connectives : 11089 (3945   ~;4397   |;2178   &)
%                                         ( 213 <=>; 356  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  143 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  295 ( 294 usr; 291 prp; 0-1 aty)
%            Number of functors    :   76 (  76 usr;  76 con; 0-0 aty)
%            Number of variables   :  705 ( 705   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8335,plain,
    $false,
    inference(avatar_sat_refutation,[],[f428,f439,f450,f461,f477,f481,f486,f498,f509,f521,f531,f540,f551,f572,f599,f613,f622,f635,f640,f648,f653,f666,f691,f709,f714,f719,f720,f746,f756,f774,f794,f808,f817,f831,f836,f859,f864,f869,f874,f880,f885,f890,f896,f901,f906,f912,f917,f922,f928,f933,f938,f992,f997,f1002,f1008,f1018,f1024,f1034,f1045,f1050,f1072,f1082,f1088,f1093,f1098,f1104,f1109,f1114,f1125,f1130,f1136,f1141,f1146,f1152,f1157,f1162,f1184,f1189,f1194,f1216,f1221,f1226,f1232,f1237,f1242,f1280,f1285,f1290,f1296,f1301,f1306,f1312,f1317,f1322,f1323,f1392,f1402,f1424,f1429,f1434,f1456,f1461,f1466,f1472,f1477,f1482,f1488,f1493,f1498,f1584,f1589,f1594,f1600,f1605,f1610,f1616,f1621,f1626,f1632,f1637,f1642,f1648,f1653,f1658,f1664,f1674,f1680,f1690,f1696,f1701,f1744,f1749,f1754,f1760,f1765,f1770,f1792,f1797,f1802,f1808,f1813,f1818,f1856,f1861,f1866,f1888,f1893,f1898,f1920,f1925,f1930,f1952,f1957,f1962,f1968,f1973,f1978,f2016,f2021,f2026,f2027,f2037,f2042,f2043,f2048,f2053,f2058,f2064,f2069,f2074,f2083,f2133,f2257,f2373,f2375,f2378,f2397,f2443,f2654,f2700,f2931,f2933,f3053,f3095,f3159,f3162,f3171,f3182,f3235,f3251,f3403,f3407,f3523,f3790,f3823,f3828,f3833,f3839,f3953,f3960,f4000,f4087,f4088,f4313,f4356,f4363,f4574,f4791,f5032,f5034,f5106,f5245,f5333,f5338,f5340,f5343,f5557,f5564,f5784,f5815,f5828,f5844,f6090,f6251,f6252,f6256,f6259,f6269,f6331,f6343,f6352,f6353,f6400,f6639,f6743,f6809,f6839,f7000,f7189,f7202,f7249,f7251,f7369,f7474,f7482,f7494,f7570,f7572,f7809,f7817,f7825,f7839,f7874,f7893,f8073,f8078,f8081,f8117,f8120,f8129,f8291,f8295,f8331]) ).

fof(f8331,plain,
    ( ~ spl0_32
    | spl0_255
    | spl0_256
    | spl0_257 ),
    inference(avatar_contradiction_clause,[],[f8330]) ).

fof(f8330,plain,
    ( $false
    | ~ spl0_32
    | spl0_255
    | spl0_256
    | spl0_257 ),
    inference(subsumption_resolution,[],[f8329,f1652]) ).

fof(f1652,plain,
    ( ~ c1_1(a1691)
    | spl0_256 ),
    inference(avatar_component_clause,[],[f1650]) ).

fof(f1650,plain,
    ( spl0_256
  <=> c1_1(a1691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f8329,plain,
    ( c1_1(a1691)
    | ~ spl0_32
    | spl0_255
    | spl0_257 ),
    inference(subsumption_resolution,[],[f8309,f1647]) ).

fof(f1647,plain,
    ( ~ c2_1(a1691)
    | spl0_255 ),
    inference(avatar_component_clause,[],[f1645]) ).

fof(f1645,plain,
    ( spl0_255
  <=> c2_1(a1691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f8309,plain,
    ( c2_1(a1691)
    | c1_1(a1691)
    | ~ spl0_32
    | spl0_257 ),
    inference(resolution,[],[f524,f1657]) ).

fof(f1657,plain,
    ( ~ c3_1(a1691)
    | spl0_257 ),
    inference(avatar_component_clause,[],[f1655]) ).

fof(f1655,plain,
    ( spl0_257
  <=> c3_1(a1691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f524,plain,
    ( ! [X24] :
        ( c3_1(X24)
        | c2_1(X24)
        | c1_1(X24) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f523,plain,
    ( spl0_32
  <=> ! [X24] :
        ( c3_1(X24)
        | c2_1(X24)
        | c1_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f8295,plain,
    ( spl0_360
    | ~ spl0_21
    | spl0_163
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f8294,f1159,f1154,f479,f3938]) ).

fof(f3938,plain,
    ( spl0_360
  <=> c2_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).

fof(f479,plain,
    ( spl0_21
  <=> ! [X13] :
        ( c1_1(X13)
        | ~ c0_1(X13)
        | c2_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1154,plain,
    ( spl0_163
  <=> c1_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1159,plain,
    ( spl0_164
  <=> c0_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f8294,plain,
    ( c2_1(a1665)
    | ~ spl0_21
    | spl0_163
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f8276,f1156]) ).

fof(f1156,plain,
    ( ~ c1_1(a1665)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f8276,plain,
    ( c1_1(a1665)
    | c2_1(a1665)
    | ~ spl0_21
    | ~ spl0_164 ),
    inference(resolution,[],[f480,f1161]) ).

fof(f1161,plain,
    ( c0_1(a1665)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f480,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c1_1(X13)
        | c2_1(X13) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f8291,plain,
    ( spl0_358
    | ~ spl0_21
    | spl0_294
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f8290,f1863,f1853,f479,f3836]) ).

fof(f3836,plain,
    ( spl0_358
  <=> c2_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).

fof(f1853,plain,
    ( spl0_294
  <=> c1_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f1863,plain,
    ( spl0_296
  <=> c0_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f8290,plain,
    ( c2_1(a1667)
    | ~ spl0_21
    | spl0_294
    | ~ spl0_296 ),
    inference(subsumption_resolution,[],[f8259,f1855]) ).

fof(f1855,plain,
    ( ~ c1_1(a1667)
    | spl0_294 ),
    inference(avatar_component_clause,[],[f1853]) ).

fof(f8259,plain,
    ( c1_1(a1667)
    | c2_1(a1667)
    | ~ spl0_21
    | ~ spl0_296 ),
    inference(resolution,[],[f480,f1865]) ).

fof(f1865,plain,
    ( c0_1(a1667)
    | ~ spl0_296 ),
    inference(avatar_component_clause,[],[f1863]) ).

fof(f8129,plain,
    ( spl0_137
    | ~ spl0_5
    | ~ spl0_21
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f8014,f1005,f507,f479,f419,f1015]) ).

fof(f1015,plain,
    ( spl0_137
  <=> c1_1(a1692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f419,plain,
    ( spl0_5
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f507,plain,
    ( spl0_28
  <=> ! [X19] :
        ( c1_1(X19)
        | ~ c3_1(X19)
        | ~ c2_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1005,plain,
    ( spl0_135
  <=> c0_1(a1692) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f8014,plain,
    ( c1_1(a1692)
    | ~ spl0_5
    | ~ spl0_21
    | ~ spl0_28
    | ~ spl0_135 ),
    inference(resolution,[],[f7994,f1007]) ).

fof(f1007,plain,
    ( c0_1(a1692)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f7994,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c1_1(X13) )
    | ~ spl0_5
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f480,f7897]) ).

fof(f7897,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19) )
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f508,f420]) ).

fof(f420,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f508,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f8120,plain,
    ( ~ spl0_30
    | spl0_252
    | spl0_253
    | spl0_254 ),
    inference(avatar_contradiction_clause,[],[f8119]) ).

fof(f8119,plain,
    ( $false
    | ~ spl0_30
    | spl0_252
    | spl0_253
    | spl0_254 ),
    inference(subsumption_resolution,[],[f8118,f1641]) ).

fof(f1641,plain,
    ( ~ c0_1(a1693)
    | spl0_254 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f1639,plain,
    ( spl0_254
  <=> c0_1(a1693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f8118,plain,
    ( c0_1(a1693)
    | ~ spl0_30
    | spl0_252
    | spl0_253 ),
    inference(subsumption_resolution,[],[f8095,f1631]) ).

fof(f1631,plain,
    ( ~ c2_1(a1693)
    | spl0_252 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f1629,plain,
    ( spl0_252
  <=> c2_1(a1693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f8095,plain,
    ( c2_1(a1693)
    | c0_1(a1693)
    | ~ spl0_30
    | spl0_253 ),
    inference(resolution,[],[f516,f1636]) ).

fof(f1636,plain,
    ( ~ c3_1(a1693)
    | spl0_253 ),
    inference(avatar_component_clause,[],[f1634]) ).

fof(f1634,plain,
    ( spl0_253
  <=> c3_1(a1693) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f516,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c2_1(X21)
        | c0_1(X21) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl0_30
  <=> ! [X21] :
        ( c2_1(X21)
        | c3_1(X21)
        | c0_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f8117,plain,
    ( spl0_370
    | ~ spl0_30
    | spl0_255
    | spl0_257 ),
    inference(avatar_split_clause,[],[f8116,f1655,f1645,f515,f4519]) ).

fof(f4519,plain,
    ( spl0_370
  <=> c0_1(a1691) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).

fof(f8116,plain,
    ( c0_1(a1691)
    | ~ spl0_30
    | spl0_255
    | spl0_257 ),
    inference(subsumption_resolution,[],[f8094,f1647]) ).

fof(f8094,plain,
    ( c2_1(a1691)
    | c0_1(a1691)
    | ~ spl0_30
    | spl0_257 ),
    inference(resolution,[],[f516,f1657]) ).

fof(f8081,plain,
    ( ~ spl0_25
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_349 ),
    inference(avatar_contradiction_clause,[],[f8080]) ).

fof(f8080,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_349 ),
    inference(subsumption_resolution,[],[f8079,f996]) ).

fof(f996,plain,
    ( c2_1(a1702)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f994,plain,
    ( spl0_133
  <=> c2_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f8079,plain,
    ( ~ c2_1(a1702)
    | ~ spl0_25
    | ~ spl0_132
    | ~ spl0_349 ),
    inference(subsumption_resolution,[],[f8050,f991]) ).

fof(f991,plain,
    ( c3_1(a1702)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f989,plain,
    ( spl0_132
  <=> c3_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f8050,plain,
    ( ~ c3_1(a1702)
    | ~ c2_1(a1702)
    | ~ spl0_25
    | ~ spl0_349 ),
    inference(resolution,[],[f497,f2830]) ).

fof(f2830,plain,
    ( c0_1(a1702)
    | ~ spl0_349 ),
    inference(avatar_component_clause,[],[f2828]) ).

fof(f2828,plain,
    ( spl0_349
  <=> c0_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f497,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | ~ c3_1(X18)
        | ~ c2_1(X18) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f496,plain,
    ( spl0_25
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | ~ c3_1(X18)
        | ~ c2_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f8078,plain,
    ( ~ spl0_360
    | ~ spl0_25
    | ~ spl0_162
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f8077,f1159,f1149,f496,f3938]) ).

fof(f1149,plain,
    ( spl0_162
  <=> c3_1(a1665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f8077,plain,
    ( ~ c2_1(a1665)
    | ~ spl0_25
    | ~ spl0_162
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f8047,f1151]) ).

fof(f1151,plain,
    ( c3_1(a1665)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f8047,plain,
    ( ~ c3_1(a1665)
    | ~ c2_1(a1665)
    | ~ spl0_25
    | ~ spl0_164 ),
    inference(resolution,[],[f497,f1161]) ).

fof(f8073,plain,
    ( ~ spl0_25
    | ~ spl0_177
    | ~ spl0_178
    | ~ spl0_179 ),
    inference(avatar_contradiction_clause,[],[f8072]) ).

fof(f8072,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_177
    | ~ spl0_178
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f8071,f1236]) ).

fof(f1236,plain,
    ( c2_1(a1654)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f1234,plain,
    ( spl0_178
  <=> c2_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f8071,plain,
    ( ~ c2_1(a1654)
    | ~ spl0_25
    | ~ spl0_177
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f8045,f1231]) ).

fof(f1231,plain,
    ( c3_1(a1654)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f1229,plain,
    ( spl0_177
  <=> c3_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f8045,plain,
    ( ~ c3_1(a1654)
    | ~ c2_1(a1654)
    | ~ spl0_25
    | ~ spl0_179 ),
    inference(resolution,[],[f497,f1241]) ).

fof(f1241,plain,
    ( c0_1(a1654)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1239,plain,
    ( spl0_179
  <=> c0_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f7893,plain,
    ( ~ spl0_12
    | ~ spl0_120
    | spl0_122
    | ~ spl0_353 ),
    inference(avatar_contradiction_clause,[],[f7892]) ).

fof(f7892,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_120
    | spl0_122
    | ~ spl0_353 ),
    inference(subsumption_resolution,[],[f7891,f927]) ).

fof(f927,plain,
    ( c0_1(a1713)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f925,plain,
    ( spl0_120
  <=> c0_1(a1713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f7891,plain,
    ( ~ c0_1(a1713)
    | ~ spl0_12
    | spl0_122
    | ~ spl0_353 ),
    inference(subsumption_resolution,[],[f7869,f3546]) ).

fof(f3546,plain,
    ( c1_1(a1713)
    | ~ spl0_353 ),
    inference(avatar_component_clause,[],[f3544]) ).

fof(f3544,plain,
    ( spl0_353
  <=> c1_1(a1713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f7869,plain,
    ( ~ c1_1(a1713)
    | ~ c0_1(a1713)
    | ~ spl0_12
    | spl0_122 ),
    inference(resolution,[],[f446,f937]) ).

fof(f937,plain,
    ( ~ c2_1(a1713)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f935,plain,
    ( spl0_122
  <=> c2_1(a1713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f446,plain,
    ( ! [X6] :
        ( c2_1(X6)
        | ~ c1_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl0_12
  <=> ! [X6] :
        ( ~ c1_1(X6)
        | c2_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f7874,plain,
    ( ~ spl0_12
    | spl0_333
    | ~ spl0_334
    | ~ spl0_335 ),
    inference(avatar_contradiction_clause,[],[f7873]) ).

fof(f7873,plain,
    ( $false
    | ~ spl0_12
    | spl0_333
    | ~ spl0_334
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f7872,f2068]) ).

fof(f2068,plain,
    ( c0_1(a1637)
    | ~ spl0_334 ),
    inference(avatar_component_clause,[],[f2066]) ).

fof(f2066,plain,
    ( spl0_334
  <=> c0_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f7872,plain,
    ( ~ c0_1(a1637)
    | ~ spl0_12
    | spl0_333
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f7846,f2073]) ).

fof(f2073,plain,
    ( c1_1(a1637)
    | ~ spl0_335 ),
    inference(avatar_component_clause,[],[f2071]) ).

fof(f2071,plain,
    ( spl0_335
  <=> c1_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f7846,plain,
    ( ~ c1_1(a1637)
    | ~ c0_1(a1637)
    | ~ spl0_12
    | spl0_333 ),
    inference(resolution,[],[f446,f2063]) ).

fof(f2063,plain,
    ( ~ c2_1(a1637)
    | spl0_333 ),
    inference(avatar_component_clause,[],[f2061]) ).

fof(f2061,plain,
    ( spl0_333
  <=> c2_1(a1637) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f7839,plain,
    ( spl0_361
    | ~ spl0_10
    | ~ spl0_192
    | spl0_194 ),
    inference(avatar_split_clause,[],[f7838,f1319,f1309,f437,f3957]) ).

fof(f3957,plain,
    ( spl0_361
  <=> c2_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).

fof(f437,plain,
    ( spl0_10
  <=> ! [X3] :
        ( c2_1(X3)
        | ~ c3_1(X3)
        | c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1309,plain,
    ( spl0_192
  <=> c3_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f1319,plain,
    ( spl0_194
  <=> c1_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f7838,plain,
    ( c2_1(a1644)
    | ~ spl0_10
    | ~ spl0_192
    | spl0_194 ),
    inference(subsumption_resolution,[],[f7837,f1321]) ).

fof(f1321,plain,
    ( ~ c1_1(a1644)
    | spl0_194 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f7837,plain,
    ( c2_1(a1644)
    | c1_1(a1644)
    | ~ spl0_10
    | ~ spl0_192 ),
    inference(resolution,[],[f1311,f438]) ).

fof(f438,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | c2_1(X3)
        | c1_1(X3) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f1311,plain,
    ( c3_1(a1644)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1309]) ).

fof(f7825,plain,
    ( ~ spl0_13
    | ~ spl0_30
    | spl0_169
    | spl0_170 ),
    inference(avatar_contradiction_clause,[],[f7824]) ).

fof(f7824,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_30
    | spl0_169
    | spl0_170 ),
    inference(subsumption_resolution,[],[f7796,f1193]) ).

fof(f1193,plain,
    ( ~ c2_1(a1661)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1191,plain,
    ( spl0_170
  <=> c2_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f7796,plain,
    ( c2_1(a1661)
    | ~ spl0_13
    | ~ spl0_30
    | spl0_169 ),
    inference(resolution,[],[f7766,f1188]) ).

fof(f1188,plain,
    ( ~ c3_1(a1661)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1186]) ).

fof(f1186,plain,
    ( spl0_169
  <=> c3_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f7766,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c2_1(X21) )
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f516,f449]) ).

fof(f449,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c3_1(X5)
        | c2_1(X5) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl0_13
  <=> ! [X5] :
        ( c3_1(X5)
        | ~ c0_1(X5)
        | c2_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f7817,plain,
    ( ~ spl0_13
    | ~ spl0_30
    | spl0_255
    | spl0_257 ),
    inference(avatar_contradiction_clause,[],[f7816]) ).

fof(f7816,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_30
    | spl0_255
    | spl0_257 ),
    inference(subsumption_resolution,[],[f7785,f1647]) ).

fof(f7785,plain,
    ( c2_1(a1691)
    | ~ spl0_13
    | ~ spl0_30
    | spl0_257 ),
    inference(resolution,[],[f7766,f1657]) ).

fof(f7809,plain,
    ( ~ spl0_13
    | ~ spl0_30
    | spl0_301
    | spl0_302 ),
    inference(avatar_contradiction_clause,[],[f7808]) ).

fof(f7808,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_30
    | spl0_301
    | spl0_302 ),
    inference(subsumption_resolution,[],[f7780,f1892]) ).

fof(f1892,plain,
    ( ~ c2_1(a1664)
    | spl0_301 ),
    inference(avatar_component_clause,[],[f1890]) ).

fof(f1890,plain,
    ( spl0_301
  <=> c2_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f7780,plain,
    ( c2_1(a1664)
    | ~ spl0_13
    | ~ spl0_30
    | spl0_302 ),
    inference(resolution,[],[f7766,f1897]) ).

fof(f1897,plain,
    ( ~ c3_1(a1664)
    | spl0_302 ),
    inference(avatar_component_clause,[],[f1895]) ).

fof(f1895,plain,
    ( spl0_302
  <=> c3_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f7572,plain,
    ( spl0_358
    | ~ spl0_10
    | spl0_294
    | ~ spl0_295 ),
    inference(avatar_split_clause,[],[f7571,f1858,f1853,f437,f3836]) ).

fof(f1858,plain,
    ( spl0_295
  <=> c3_1(a1667) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f7571,plain,
    ( c2_1(a1667)
    | ~ spl0_10
    | spl0_294
    | ~ spl0_295 ),
    inference(subsumption_resolution,[],[f7535,f1855]) ).

fof(f7535,plain,
    ( c2_1(a1667)
    | c1_1(a1667)
    | ~ spl0_10
    | ~ spl0_295 ),
    inference(resolution,[],[f438,f1860]) ).

fof(f1860,plain,
    ( c3_1(a1667)
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f1858]) ).

fof(f7570,plain,
    ( spl0_376
    | ~ spl0_10
    | spl0_312
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f7569,f1959,f1949,f437,f5051]) ).

fof(f5051,plain,
    ( spl0_376
  <=> c1_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).

fof(f1949,plain,
    ( spl0_312
  <=> c2_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f1959,plain,
    ( spl0_314
  <=> c3_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f7569,plain,
    ( c1_1(a1655)
    | ~ spl0_10
    | spl0_312
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f7534,f1951]) ).

fof(f1951,plain,
    ( ~ c2_1(a1655)
    | spl0_312 ),
    inference(avatar_component_clause,[],[f1949]) ).

fof(f7534,plain,
    ( c2_1(a1655)
    | c1_1(a1655)
    | ~ spl0_10
    | ~ spl0_314 ),
    inference(resolution,[],[f438,f1961]) ).

fof(f1961,plain,
    ( c3_1(a1655)
    | ~ spl0_314 ),
    inference(avatar_component_clause,[],[f1959]) ).

fof(f7494,plain,
    ( ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_152
    | spl0_346 ),
    inference(avatar_contradiction_clause,[],[f7493]) ).

fof(f7493,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_152
    | spl0_346 ),
    inference(subsumption_resolution,[],[f7467,f1097]) ).

fof(f1097,plain,
    ( ~ c1_1(a1674)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1095,plain,
    ( spl0_152
  <=> c1_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f7467,plain,
    ( c1_1(a1674)
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_346 ),
    inference(resolution,[],[f7379,f2657]) ).

fof(f2657,plain,
    ( ~ c0_1(a1674)
    | spl0_346 ),
    inference(avatar_component_clause,[],[f2656]) ).

fof(f2656,plain,
    ( spl0_346
  <=> c0_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f7379,plain,
    ( ! [X23] :
        ( c0_1(X23)
        | c1_1(X23) )
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f527,f7258]) ).

fof(f7258,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19) )
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f508,f420]) ).

fof(f527,plain,
    ( ! [X23] :
        ( c2_1(X23)
        | c1_1(X23)
        | c0_1(X23) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl0_33
  <=> ! [X23] :
        ( c0_1(X23)
        | c1_1(X23)
        | c2_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f7482,plain,
    ( ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_261
    | spl0_263 ),
    inference(avatar_contradiction_clause,[],[f7481]) ).

fof(f7481,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_261
    | spl0_263 ),
    inference(subsumption_resolution,[],[f7449,f1679]) ).

fof(f1679,plain,
    ( ~ c1_1(a1689)
    | spl0_261 ),
    inference(avatar_component_clause,[],[f1677]) ).

fof(f1677,plain,
    ( spl0_261
  <=> c1_1(a1689) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f7449,plain,
    ( c1_1(a1689)
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_263 ),
    inference(resolution,[],[f7379,f1689]) ).

fof(f1689,plain,
    ( ~ c0_1(a1689)
    | spl0_263 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f1687,plain,
    ( spl0_263
  <=> c0_1(a1689) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f7474,plain,
    ( ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_328
    | spl0_329 ),
    inference(avatar_contradiction_clause,[],[f7473]) ).

fof(f7473,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_328
    | spl0_329 ),
    inference(subsumption_resolution,[],[f7439,f2041]) ).

fof(f2041,plain,
    ( ~ c1_1(a1645)
    | spl0_329 ),
    inference(avatar_component_clause,[],[f2039]) ).

fof(f2039,plain,
    ( spl0_329
  <=> c1_1(a1645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f7439,plain,
    ( c1_1(a1645)
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_33
    | spl0_328 ),
    inference(resolution,[],[f7379,f2036]) ).

fof(f2036,plain,
    ( ~ c0_1(a1645)
    | spl0_328 ),
    inference(avatar_component_clause,[],[f2034]) ).

fof(f2034,plain,
    ( spl0_328
  <=> c0_1(a1645) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f7369,plain,
    ( ~ spl0_108
    | ~ spl0_19
    | spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f7366,f871,f866,f470,f861]) ).

fof(f861,plain,
    ( spl0_108
  <=> c3_1(a1724) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f470,plain,
    ( spl0_19
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f866,plain,
    ( spl0_109
  <=> c2_1(a1724) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f871,plain,
    ( spl0_110
  <=> c0_1(a1724) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f7366,plain,
    ( ~ c3_1(a1724)
    | ~ spl0_19
    | spl0_109
    | ~ spl0_110 ),
    inference(subsumption_resolution,[],[f7358,f868]) ).

fof(f868,plain,
    ( ~ c2_1(a1724)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f7358,plain,
    ( c2_1(a1724)
    | ~ c3_1(a1724)
    | ~ spl0_19
    | ~ spl0_110 ),
    inference(resolution,[],[f471,f873]) ).

fof(f873,plain,
    ( c0_1(a1724)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f471,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f7251,plain,
    ( ~ spl0_5
    | ~ spl0_32
    | spl0_256
    | spl0_257 ),
    inference(avatar_contradiction_clause,[],[f7250]) ).

fof(f7250,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_32
    | spl0_256
    | spl0_257 ),
    inference(subsumption_resolution,[],[f7235,f1652]) ).

fof(f7235,plain,
    ( c1_1(a1691)
    | ~ spl0_5
    | ~ spl0_32
    | spl0_257 ),
    inference(resolution,[],[f7232,f1657]) ).

fof(f7232,plain,
    ( ! [X24] :
        ( c3_1(X24)
        | c1_1(X24) )
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f524,f420]) ).

fof(f7249,plain,
    ( spl0_306
    | ~ spl0_5
    | ~ spl0_32
    | spl0_308 ),
    inference(avatar_split_clause,[],[f7233,f1927,f523,f419,f1917]) ).

fof(f1917,plain,
    ( spl0_306
  <=> c1_1(a1660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f1927,plain,
    ( spl0_308
  <=> c3_1(a1660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f7233,plain,
    ( c1_1(a1660)
    | ~ spl0_5
    | ~ spl0_32
    | spl0_308 ),
    inference(resolution,[],[f7232,f1929]) ).

fof(f1929,plain,
    ( ~ c3_1(a1660)
    | spl0_308 ),
    inference(avatar_component_clause,[],[f1927]) ).

fof(f7202,plain,
    ( spl0_307
    | spl0_306
    | ~ spl0_61
    | spl0_308 ),
    inference(avatar_split_clause,[],[f7127,f1927,f646,f1917,f1922]) ).

fof(f1922,plain,
    ( spl0_307
  <=> c0_1(a1660) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f646,plain,
    ( spl0_61
  <=> ! [X45] :
        ( c3_1(X45)
        | c1_1(X45)
        | c0_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f7127,plain,
    ( c1_1(a1660)
    | c0_1(a1660)
    | ~ spl0_61
    | spl0_308 ),
    inference(resolution,[],[f647,f1929]) ).

fof(f647,plain,
    ( ! [X45] :
        ( c3_1(X45)
        | c1_1(X45)
        | c0_1(X45) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f7189,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_168
    | spl0_170 ),
    inference(avatar_contradiction_clause,[],[f7188]) ).

fof(f7188,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_168
    | spl0_170 ),
    inference(subsumption_resolution,[],[f7187,f1183]) ).

fof(f1183,plain,
    ( c1_1(a1661)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1181,plain,
    ( spl0_168
  <=> c1_1(a1661) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f7187,plain,
    ( ~ c1_1(a1661)
    | ~ spl0_2
    | ~ spl0_12
    | spl0_170 ),
    inference(resolution,[],[f1193,f5855]) ).

fof(f5855,plain,
    ( ! [X6] :
        ( c2_1(X6)
        | ~ c1_1(X6) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f446,f408]) ).

fof(f408,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f407,plain,
    ( spl0_2
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f7000,plain,
    ( spl0_61
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f6947,f526,f445,f419,f407,f646]) ).

fof(f6947,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(resolution,[],[f420,f6890]) ).

fof(f6890,plain,
    ( ! [X23] :
        ( c2_1(X23)
        | c0_1(X23) )
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f527,f5855]) ).

fof(f6839,plain,
    ( ~ spl0_295
    | ~ spl0_16
    | spl0_294
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f6838,f1863,f1853,f459,f1858]) ).

fof(f459,plain,
    ( spl0_16
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | ~ c0_1(X7)
        | c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f6838,plain,
    ( ~ c3_1(a1667)
    | ~ spl0_16
    | spl0_294
    | ~ spl0_296 ),
    inference(subsumption_resolution,[],[f6834,f1855]) ).

fof(f6834,plain,
    ( ~ c3_1(a1667)
    | c1_1(a1667)
    | ~ spl0_16
    | ~ spl0_296 ),
    inference(resolution,[],[f1865,f460]) ).

fof(f460,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | ~ c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f6809,plain,
    ( spl0_163
    | ~ spl0_16
    | ~ spl0_162
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f6805,f1159,f1149,f459,f1154]) ).

fof(f6805,plain,
    ( c1_1(a1665)
    | ~ spl0_16
    | ~ spl0_162
    | ~ spl0_164 ),
    inference(subsumption_resolution,[],[f6803,f1151]) ).

fof(f6803,plain,
    ( ~ c3_1(a1665)
    | c1_1(a1665)
    | ~ spl0_16
    | ~ spl0_164 ),
    inference(resolution,[],[f1161,f460]) ).

fof(f6743,plain,
    ( ~ spl0_16
    | spl0_222
    | ~ spl0_223
    | ~ spl0_340 ),
    inference(avatar_contradiction_clause,[],[f6742]) ).

fof(f6742,plain,
    ( $false
    | ~ spl0_16
    | spl0_222
    | ~ spl0_223
    | ~ spl0_340 ),
    inference(subsumption_resolution,[],[f6741,f1471]) ).

fof(f1471,plain,
    ( ~ c1_1(a1714)
    | spl0_222 ),
    inference(avatar_component_clause,[],[f1469]) ).

fof(f1469,plain,
    ( spl0_222
  <=> c1_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f6741,plain,
    ( c1_1(a1714)
    | ~ spl0_16
    | ~ spl0_223
    | ~ spl0_340 ),
    inference(subsumption_resolution,[],[f6739,f2230]) ).

fof(f2230,plain,
    ( c3_1(a1714)
    | ~ spl0_340 ),
    inference(avatar_component_clause,[],[f2228]) ).

fof(f2228,plain,
    ( spl0_340
  <=> c3_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f6739,plain,
    ( ~ c3_1(a1714)
    | c1_1(a1714)
    | ~ spl0_16
    | ~ spl0_223 ),
    inference(resolution,[],[f1476,f460]) ).

fof(f1476,plain,
    ( c0_1(a1714)
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f1474]) ).

fof(f1474,plain,
    ( spl0_223
  <=> c0_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f6639,plain,
    ( spl0_353
    | ~ spl0_16
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f6638,f930,f925,f459,f3544]) ).

fof(f930,plain,
    ( spl0_121
  <=> c3_1(a1713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f6638,plain,
    ( c1_1(a1713)
    | ~ spl0_16
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f6627,f932]) ).

fof(f932,plain,
    ( c3_1(a1713)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f6627,plain,
    ( ~ c3_1(a1713)
    | c1_1(a1713)
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(resolution,[],[f460,f927]) ).

fof(f6400,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | ~ spl0_313
    | ~ spl0_314 ),
    inference(avatar_contradiction_clause,[],[f6399]) ).

fof(f6399,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_313
    | ~ spl0_314 ),
    inference(subsumption_resolution,[],[f6397,f1956]) ).

fof(f1956,plain,
    ( c0_1(a1655)
    | ~ spl0_313 ),
    inference(avatar_component_clause,[],[f1954]) ).

fof(f1954,plain,
    ( spl0_313
  <=> c0_1(a1655) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f6397,plain,
    ( ~ c0_1(a1655)
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_314 ),
    inference(resolution,[],[f1961,f6275]) ).

fof(f6275,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | ~ c0_1(X7) )
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f460,f427]) ).

fof(f427,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl0_7
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f6353,plain,
    ( ~ spl0_365
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f6313,f2050,f459,f426,f4351]) ).

fof(f4351,plain,
    ( spl0_365
  <=> c0_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).

fof(f2050,plain,
    ( spl0_331
  <=> c3_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f6313,plain,
    ( ~ c0_1(a1643)
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_331 ),
    inference(resolution,[],[f6275,f2052]) ).

fof(f2052,plain,
    ( c3_1(a1643)
    | ~ spl0_331 ),
    inference(avatar_component_clause,[],[f2050]) ).

fof(f6352,plain,
    ( ~ spl0_346
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f6322,f1085,f459,f426,f2656]) ).

fof(f1085,plain,
    ( spl0_150
  <=> c3_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f6322,plain,
    ( ~ c0_1(a1674)
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(resolution,[],[f6275,f1087]) ).

fof(f1087,plain,
    ( c3_1(a1674)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f6343,plain,
    ( ~ spl0_110
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f6324,f861,f459,f426,f871]) ).

fof(f6324,plain,
    ( ~ c0_1(a1724)
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_108 ),
    inference(resolution,[],[f6275,f863]) ).

fof(f863,plain,
    ( c3_1(a1724)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f6331,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | ~ spl0_177
    | ~ spl0_179 ),
    inference(avatar_contradiction_clause,[],[f6330]) ).

fof(f6330,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_177
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f6318,f1241]) ).

fof(f6318,plain,
    ( ~ c0_1(a1654)
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_177 ),
    inference(resolution,[],[f6275,f1231]) ).

fof(f6269,plain,
    ( spl0_340
    | ~ spl0_34
    | ~ spl0_223
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f6268,f1479,f1474,f529,f2228]) ).

fof(f529,plain,
    ( spl0_34
  <=> ! [X22] :
        ( ~ c2_1(X22)
        | c3_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1479,plain,
    ( spl0_224
  <=> c2_1(a1714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f6268,plain,
    ( c3_1(a1714)
    | ~ spl0_34
    | ~ spl0_223
    | ~ spl0_224 ),
    inference(subsumption_resolution,[],[f6179,f1481]) ).

fof(f1481,plain,
    ( c2_1(a1714)
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f1479]) ).

fof(f6179,plain,
    ( c3_1(a1714)
    | ~ c2_1(a1714)
    | ~ spl0_34
    | ~ spl0_223 ),
    inference(resolution,[],[f530,f1476]) ).

fof(f530,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f6259,plain,
    ( ~ spl0_248
    | ~ spl0_34
    | spl0_246
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f6207,f1602,f1597,f529,f1607]) ).

fof(f1607,plain,
    ( spl0_248
  <=> c2_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f1597,plain,
    ( spl0_246
  <=> c3_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f1602,plain,
    ( spl0_247
  <=> c0_1(a1695) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f6207,plain,
    ( ~ c2_1(a1695)
    | ~ spl0_34
    | spl0_246
    | ~ spl0_247 ),
    inference(subsumption_resolution,[],[f6178,f1599]) ).

fof(f1599,plain,
    ( ~ c3_1(a1695)
    | spl0_246 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f6178,plain,
    ( c3_1(a1695)
    | ~ c2_1(a1695)
    | ~ spl0_34
    | ~ spl0_247 ),
    inference(resolution,[],[f530,f1604]) ).

fof(f1604,plain,
    ( c0_1(a1695)
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f1602]) ).

fof(f6256,plain,
    ( ~ spl0_175
    | ~ spl0_34
    | ~ spl0_174
    | spl0_176 ),
    inference(avatar_split_clause,[],[f6227,f1223,f1213,f529,f1218]) ).

fof(f1218,plain,
    ( spl0_175
  <=> c2_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1213,plain,
    ( spl0_174
  <=> c0_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1223,plain,
    ( spl0_176
  <=> c3_1(a1656) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f6227,plain,
    ( ~ c2_1(a1656)
    | ~ spl0_34
    | ~ spl0_174
    | spl0_176 ),
    inference(subsumption_resolution,[],[f6187,f1225]) ).

fof(f1225,plain,
    ( ~ c3_1(a1656)
    | spl0_176 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f6187,plain,
    ( c3_1(a1656)
    | ~ c2_1(a1656)
    | ~ spl0_34
    | ~ spl0_174 ),
    inference(resolution,[],[f530,f1215]) ).

fof(f1215,plain,
    ( c0_1(a1656)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f6252,plain,
    ( ~ spl0_116
    | ~ spl0_34
    | ~ spl0_114
    | spl0_115 ),
    inference(avatar_split_clause,[],[f6239,f898,f893,f529,f903]) ).

fof(f903,plain,
    ( spl0_116
  <=> c2_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f893,plain,
    ( spl0_114
  <=> c0_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f898,plain,
    ( spl0_115
  <=> c3_1(a1716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f6239,plain,
    ( ~ c2_1(a1716)
    | ~ spl0_34
    | ~ spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f6195,f900]) ).

fof(f900,plain,
    ( ~ c3_1(a1716)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f6195,plain,
    ( c3_1(a1716)
    | ~ c2_1(a1716)
    | ~ spl0_34
    | ~ spl0_114 ),
    inference(resolution,[],[f530,f895]) ).

fof(f895,plain,
    ( c0_1(a1716)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f6251,plain,
    ( ~ spl0_111
    | ~ spl0_34
    | ~ spl0_112
    | spl0_113 ),
    inference(avatar_split_clause,[],[f6242,f887,f882,f529,f877]) ).

fof(f877,plain,
    ( spl0_111
  <=> c2_1(a1717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f882,plain,
    ( spl0_112
  <=> c0_1(a1717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f887,plain,
    ( spl0_113
  <=> c3_1(a1717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f6242,plain,
    ( ~ c2_1(a1717)
    | ~ spl0_34
    | ~ spl0_112
    | spl0_113 ),
    inference(subsumption_resolution,[],[f6196,f889]) ).

fof(f889,plain,
    ( ~ c3_1(a1717)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f6196,plain,
    ( c3_1(a1717)
    | ~ c2_1(a1717)
    | ~ spl0_34
    | ~ spl0_112 ),
    inference(resolution,[],[f530,f884]) ).

fof(f884,plain,
    ( c0_1(a1717)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f6090,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_27
    | spl0_157
    | ~ spl0_158 ),
    inference(avatar_contradiction_clause,[],[f6089]) ).

fof(f6089,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_27
    | spl0_157
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f6084,f1124]) ).

fof(f1124,plain,
    ( ~ c2_1(a1669)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1122,plain,
    ( spl0_157
  <=> c2_1(a1669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f6084,plain,
    ( c2_1(a1669)
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_27
    | ~ spl0_158 ),
    inference(resolution,[],[f5851,f1129]) ).

fof(f1129,plain,
    ( c3_1(a1669)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1127,plain,
    ( spl0_158
  <=> c3_1(a1669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f5851,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9) )
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f471,f4687]) ).

fof(f4687,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c0_1(X20) )
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f505,f453]) ).

fof(f453,plain,
    ( ! [X8] :
        ( ~ c3_1(X8)
        | c0_1(X8)
        | c1_1(X8) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl0_14
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | c0_1(X8)
        | c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f505,plain,
    ( ! [X20] :
        ( ~ c1_1(X20)
        | c0_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f504,plain,
    ( spl0_27
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c1_1(X20)
        | ~ c3_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f5844,plain,
    ( spl0_278
    | spl0_276
    | ~ spl0_32
    | spl0_277 ),
    inference(avatar_split_clause,[],[f5510,f1762,f523,f1757,f1767]) ).

fof(f1767,plain,
    ( spl0_278
  <=> c1_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f1757,plain,
    ( spl0_276
  <=> c2_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f1762,plain,
    ( spl0_277
  <=> c3_1(a1681) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f5510,plain,
    ( c2_1(a1681)
    | c1_1(a1681)
    | ~ spl0_32
    | spl0_277 ),
    inference(resolution,[],[f524,f1764]) ).

fof(f1764,plain,
    ( ~ c3_1(a1681)
    | spl0_277 ),
    inference(avatar_component_clause,[],[f1762]) ).

fof(f5828,plain,
    ( ~ spl0_7
    | ~ spl0_70
    | ~ spl0_207
    | ~ spl0_209 ),
    inference(avatar_contradiction_clause,[],[f5827]) ).

fof(f5827,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_70
    | ~ spl0_207
    | ~ spl0_209 ),
    inference(subsumption_resolution,[],[f5799,f1391]) ).

fof(f1391,plain,
    ( c0_1(a1638)
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f1389]) ).

fof(f1389,plain,
    ( spl0_207
  <=> c0_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f5799,plain,
    ( ~ c0_1(a1638)
    | ~ spl0_7
    | ~ spl0_70
    | ~ spl0_209 ),
    inference(resolution,[],[f5785,f1401]) ).

fof(f1401,plain,
    ( c1_1(a1638)
    | ~ spl0_209 ),
    inference(avatar_component_clause,[],[f1399]) ).

fof(f1399,plain,
    ( spl0_209
  <=> c1_1(a1638) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f5785,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | ~ c0_1(X51) )
    | ~ spl0_7
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f686,f427]) ).

fof(f686,plain,
    ( ! [X51] :
        ( c3_1(X51)
        | ~ c0_1(X51)
        | ~ c1_1(X51) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f685,plain,
    ( spl0_70
  <=> ! [X51] :
        ( c3_1(X51)
        | ~ c0_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f5815,plain,
    ( ~ spl0_7
    | ~ spl0_70
    | ~ spl0_334
    | ~ spl0_335 ),
    inference(avatar_contradiction_clause,[],[f5814]) ).

fof(f5814,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_70
    | ~ spl0_334
    | ~ spl0_335 ),
    inference(subsumption_resolution,[],[f5786,f2068]) ).

fof(f5786,plain,
    ( ~ c0_1(a1637)
    | ~ spl0_7
    | ~ spl0_70
    | ~ spl0_335 ),
    inference(resolution,[],[f5785,f2073]) ).

fof(f5784,plain,
    ( spl0_274
    | spl0_275
    | ~ spl0_32
    | spl0_273 ),
    inference(avatar_split_clause,[],[f5783,f1741,f523,f1751,f1746]) ).

fof(f1746,plain,
    ( spl0_274
  <=> c1_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f1751,plain,
    ( spl0_275
  <=> c2_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f1741,plain,
    ( spl0_273
  <=> c3_1(a1682) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f5783,plain,
    ( c2_1(a1682)
    | c1_1(a1682)
    | ~ spl0_32
    | spl0_273 ),
    inference(resolution,[],[f1743,f524]) ).

fof(f1743,plain,
    ( ~ c3_1(a1682)
    | spl0_273 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f5564,plain,
    ( ~ spl0_32
    | spl0_300
    | spl0_301
    | spl0_302 ),
    inference(avatar_contradiction_clause,[],[f5563]) ).

fof(f5563,plain,
    ( $false
    | ~ spl0_32
    | spl0_300
    | spl0_301
    | spl0_302 ),
    inference(subsumption_resolution,[],[f5562,f1887]) ).

fof(f1887,plain,
    ( ~ c1_1(a1664)
    | spl0_300 ),
    inference(avatar_component_clause,[],[f1885]) ).

fof(f1885,plain,
    ( spl0_300
  <=> c1_1(a1664) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f5562,plain,
    ( c1_1(a1664)
    | ~ spl0_32
    | spl0_301
    | spl0_302 ),
    inference(subsumption_resolution,[],[f5505,f1892]) ).

fof(f5505,plain,
    ( c2_1(a1664)
    | c1_1(a1664)
    | ~ spl0_32
    | spl0_302 ),
    inference(resolution,[],[f524,f1897]) ).

fof(f5557,plain,
    ( ~ spl0_32
    | spl0_315
    | spl0_316
    | spl0_317 ),
    inference(avatar_contradiction_clause,[],[f5556]) ).

fof(f5556,plain,
    ( $false
    | ~ spl0_32
    | spl0_315
    | spl0_316
    | spl0_317 ),
    inference(subsumption_resolution,[],[f5555,f1977]) ).

fof(f1977,plain,
    ( ~ c1_1(a1650)
    | spl0_317 ),
    inference(avatar_component_clause,[],[f1975]) ).

fof(f1975,plain,
    ( spl0_317
  <=> c1_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f5555,plain,
    ( c1_1(a1650)
    | ~ spl0_32
    | spl0_315
    | spl0_316 ),
    inference(subsumption_resolution,[],[f5502,f1972]) ).

fof(f1972,plain,
    ( ~ c2_1(a1650)
    | spl0_316 ),
    inference(avatar_component_clause,[],[f1970]) ).

fof(f1970,plain,
    ( spl0_316
  <=> c2_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f5502,plain,
    ( c2_1(a1650)
    | c1_1(a1650)
    | ~ spl0_32
    | spl0_315 ),
    inference(resolution,[],[f524,f1967]) ).

fof(f1967,plain,
    ( ~ c3_1(a1650)
    | spl0_315 ),
    inference(avatar_component_clause,[],[f1965]) ).

fof(f1965,plain,
    ( spl0_315
  <=> c3_1(a1650) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f5343,plain,
    ( ~ spl0_33
    | spl0_225
    | spl0_226
    | spl0_227 ),
    inference(avatar_contradiction_clause,[],[f5342]) ).

fof(f5342,plain,
    ( $false
    | ~ spl0_33
    | spl0_225
    | spl0_226
    | spl0_227 ),
    inference(subsumption_resolution,[],[f5341,f1492]) ).

fof(f1492,plain,
    ( ~ c0_1(a1712)
    | spl0_226 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1490,plain,
    ( spl0_226
  <=> c0_1(a1712) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f5341,plain,
    ( c0_1(a1712)
    | ~ spl0_33
    | spl0_225
    | spl0_227 ),
    inference(subsumption_resolution,[],[f5321,f1487]) ).

fof(f1487,plain,
    ( ~ c1_1(a1712)
    | spl0_225 ),
    inference(avatar_component_clause,[],[f1485]) ).

fof(f1485,plain,
    ( spl0_225
  <=> c1_1(a1712) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f5321,plain,
    ( c1_1(a1712)
    | c0_1(a1712)
    | ~ spl0_33
    | spl0_227 ),
    inference(resolution,[],[f527,f1497]) ).

fof(f1497,plain,
    ( ~ c2_1(a1712)
    | spl0_227 ),
    inference(avatar_component_clause,[],[f1495]) ).

fof(f1495,plain,
    ( spl0_227
  <=> c2_1(a1712) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f5340,plain,
    ( spl0_283
    | ~ spl0_33
    | spl0_282
    | spl0_284 ),
    inference(avatar_split_clause,[],[f5339,f1799,f1789,f526,f1794]) ).

fof(f1794,plain,
    ( spl0_283
  <=> c1_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f1789,plain,
    ( spl0_282
  <=> c2_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f1799,plain,
    ( spl0_284
  <=> c0_1(a1678) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f5339,plain,
    ( c1_1(a1678)
    | ~ spl0_33
    | spl0_282
    | spl0_284 ),
    inference(subsumption_resolution,[],[f5318,f1801]) ).

fof(f1801,plain,
    ( ~ c0_1(a1678)
    | spl0_284 ),
    inference(avatar_component_clause,[],[f1799]) ).

fof(f5318,plain,
    ( c1_1(a1678)
    | c0_1(a1678)
    | ~ spl0_33
    | spl0_282 ),
    inference(resolution,[],[f527,f1791]) ).

fof(f1791,plain,
    ( ~ c2_1(a1678)
    | spl0_282 ),
    inference(avatar_component_clause,[],[f1789]) ).

fof(f5338,plain,
    ( ~ spl0_33
    | spl0_285
    | spl0_286
    | spl0_287 ),
    inference(avatar_contradiction_clause,[],[f5337]) ).

fof(f5337,plain,
    ( $false
    | ~ spl0_33
    | spl0_285
    | spl0_286
    | spl0_287 ),
    inference(subsumption_resolution,[],[f5336,f1817]) ).

fof(f1817,plain,
    ( ~ c0_1(a1677)
    | spl0_287 ),
    inference(avatar_component_clause,[],[f1815]) ).

fof(f1815,plain,
    ( spl0_287
  <=> c0_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f5336,plain,
    ( c0_1(a1677)
    | ~ spl0_33
    | spl0_285
    | spl0_286 ),
    inference(subsumption_resolution,[],[f5317,f1807]) ).

fof(f1807,plain,
    ( ~ c1_1(a1677)
    | spl0_285 ),
    inference(avatar_component_clause,[],[f1805]) ).

fof(f1805,plain,
    ( spl0_285
  <=> c1_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f5317,plain,
    ( c1_1(a1677)
    | c0_1(a1677)
    | ~ spl0_33
    | spl0_286 ),
    inference(resolution,[],[f527,f1812]) ).

fof(f1812,plain,
    ( ~ c2_1(a1677)
    | spl0_286 ),
    inference(avatar_component_clause,[],[f1810]) ).

fof(f1810,plain,
    ( spl0_286
  <=> c2_1(a1677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f5333,plain,
    ( spl0_365
    | ~ spl0_33
    | spl0_330
    | spl0_332 ),
    inference(avatar_split_clause,[],[f5332,f2055,f2045,f526,f4351]) ).

fof(f2045,plain,
    ( spl0_330
  <=> c2_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f2055,plain,
    ( spl0_332
  <=> c1_1(a1643) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f5332,plain,
    ( c0_1(a1643)
    | ~ spl0_33
    | spl0_330
    | spl0_332 ),
    inference(subsumption_resolution,[],[f5312,f2057]) ).

fof(f2057,plain,
    ( ~ c1_1(a1643)
    | spl0_332 ),
    inference(avatar_component_clause,[],[f2055]) ).

fof(f5312,plain,
    ( c1_1(a1643)
    | c0_1(a1643)
    | ~ spl0_33
    | spl0_330 ),
    inference(resolution,[],[f527,f2047]) ).

fof(f2047,plain,
    ( ~ c2_1(a1643)
    | spl0_330 ),
    inference(avatar_component_clause,[],[f2045]) ).

fof(f5245,plain,
    ( ~ spl0_376
    | ~ spl0_12
    | spl0_312
    | ~ spl0_313 ),
    inference(avatar_split_clause,[],[f5244,f1954,f1949,f445,f5051]) ).

fof(f5244,plain,
    ( ~ c1_1(a1655)
    | ~ spl0_12
    | spl0_312
    | ~ spl0_313 ),
    inference(subsumption_resolution,[],[f5226,f1956]) ).

fof(f5226,plain,
    ( ~ c1_1(a1655)
    | ~ c0_1(a1655)
    | ~ spl0_12
    | spl0_312 ),
    inference(resolution,[],[f446,f1951]) ).

fof(f5106,plain,
    ( ~ spl0_5
    | ~ spl0_28
    | spl0_222
    | ~ spl0_224 ),
    inference(avatar_contradiction_clause,[],[f5105]) ).

fof(f5105,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_28
    | spl0_222
    | ~ spl0_224 ),
    inference(subsumption_resolution,[],[f5076,f1471]) ).

fof(f5076,plain,
    ( c1_1(a1714)
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_224 ),
    inference(resolution,[],[f4790,f1481]) ).

fof(f4790,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f420,f508]) ).

fof(f5034,plain,
    ( ~ spl0_370
    | ~ spl0_12
    | ~ spl0_21
    | spl0_255 ),
    inference(avatar_split_clause,[],[f5010,f1645,f479,f445,f4519]) ).

fof(f5010,plain,
    ( ~ c0_1(a1691)
    | ~ spl0_12
    | ~ spl0_21
    | spl0_255 ),
    inference(resolution,[],[f4788,f1647]) ).

fof(f4788,plain,
    ( ! [X6] :
        ( c2_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f446,f480]) ).

fof(f5032,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | spl0_312
    | ~ spl0_313 ),
    inference(avatar_contradiction_clause,[],[f5031]) ).

fof(f5031,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_21
    | spl0_312
    | ~ spl0_313 ),
    inference(subsumption_resolution,[],[f5005,f1956]) ).

fof(f5005,plain,
    ( ~ c0_1(a1655)
    | ~ spl0_12
    | ~ spl0_21
    | spl0_312 ),
    inference(resolution,[],[f4788,f1951]) ).

fof(f4791,plain,
    ( spl0_194
    | spl0_193
    | ~ spl0_14
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f4148,f1309,f452,f1314,f1319]) ).

fof(f1314,plain,
    ( spl0_193
  <=> c0_1(a1644) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f4148,plain,
    ( c0_1(a1644)
    | c1_1(a1644)
    | ~ spl0_14
    | ~ spl0_192 ),
    inference(resolution,[],[f453,f1311]) ).

fof(f4574,plain,
    ( ~ spl0_21
    | ~ spl0_33
    | spl0_300
    | spl0_301 ),
    inference(avatar_contradiction_clause,[],[f4573]) ).

fof(f4573,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_33
    | spl0_300
    | spl0_301 ),
    inference(subsumption_resolution,[],[f4540,f1887]) ).

fof(f4540,plain,
    ( c1_1(a1664)
    | ~ spl0_21
    | ~ spl0_33
    | spl0_301 ),
    inference(resolution,[],[f4533,f1892]) ).

fof(f4533,plain,
    ( ! [X23] :
        ( c2_1(X23)
        | c1_1(X23) )
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f527,f480]) ).

fof(f4363,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_21
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f4303,f2656,f479,f1095,f1090]) ).

fof(f1090,plain,
    ( spl0_151
  <=> c2_1(a1674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f4303,plain,
    ( c1_1(a1674)
    | c2_1(a1674)
    | ~ spl0_21
    | ~ spl0_346 ),
    inference(resolution,[],[f480,f2658]) ).

fof(f2658,plain,
    ( c0_1(a1674)
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f2656]) ).

fof(f4356,plain,
    ( ~ spl0_178
    | spl0_343
    | ~ spl0_28
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f3507,f1229,f507,f2402,f1234]) ).

fof(f2402,plain,
    ( spl0_343
  <=> c1_1(a1654) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f3507,plain,
    ( c1_1(a1654)
    | ~ c2_1(a1654)
    | ~ spl0_28
    | ~ spl0_177 ),
    inference(resolution,[],[f508,f1231]) ).

fof(f4313,plain,
    ( ~ spl0_21
    | spl0_324
    | spl0_325
    | ~ spl0_326 ),
    inference(avatar_contradiction_clause,[],[f4312]) ).

fof(f4312,plain,
    ( $false
    | ~ spl0_21
    | spl0_324
    | spl0_325
    | ~ spl0_326 ),
    inference(subsumption_resolution,[],[f4311,f2015]) ).

fof(f2015,plain,
    ( ~ c2_1(a1646)
    | spl0_324 ),
    inference(avatar_component_clause,[],[f2013]) ).

fof(f2013,plain,
    ( spl0_324
  <=> c2_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f4311,plain,
    ( c2_1(a1646)
    | ~ spl0_21
    | spl0_325
    | ~ spl0_326 ),
    inference(subsumption_resolution,[],[f4292,f2020]) ).

fof(f2020,plain,
    ( ~ c1_1(a1646)
    | spl0_325 ),
    inference(avatar_component_clause,[],[f2018]) ).

fof(f2018,plain,
    ( spl0_325
  <=> c1_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f4292,plain,
    ( c1_1(a1646)
    | c2_1(a1646)
    | ~ spl0_21
    | ~ spl0_326 ),
    inference(resolution,[],[f480,f2025]) ).

fof(f2025,plain,
    ( c0_1(a1646)
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f2023]) ).

fof(f2023,plain,
    ( spl0_326
  <=> c0_1(a1646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f4088,plain,
    ( spl0_264
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_265 ),
    inference(avatar_split_clause,[],[f4060,f1698,f507,f419,f1693]) ).

fof(f1693,plain,
    ( spl0_264
  <=> c1_1(a1685) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f1698,plain,
    ( spl0_265
  <=> c2_1(a1685) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f4060,plain,
    ( c1_1(a1685)
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_265 ),
    inference(resolution,[],[f3909,f1700]) ).

fof(f1700,plain,
    ( c2_1(a1685)
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f3909,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_5
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f420,f508]) ).

fof(f4087,plain,
    ( spl0_258
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_260 ),
    inference(avatar_split_clause,[],[f4061,f1671,f507,f419,f1661]) ).

fof(f1661,plain,
    ( spl0_258
  <=> c1_1(a1690) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f1671,plain,
    ( spl0_260
  <=> c2_1(a1690) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f4061,plain,
    ( c1_1(a1690)
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_260 ),
    inference(resolution,[],[f3909,f1673]) ).

fof(f1673,plain,
    ( c2_1(a1690)
    | ~ spl0_260 ),
    inference(avatar_component_clause,[],[f1671]) ).

fof(f4000,plain,
    ( ~ spl0_13
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_178
    | ~ spl0_179 ),
    inference(avatar_contradiction_clause,[],[f3999]) ).

fof(f3999,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_178
    | ~ spl0_179 ),
    inference(subsumption_resolution,[],[f3985,f1236]) ).

fof(f3985,plain,
    ( ~ c2_1(a1654)
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_179 ),
    inference(resolution,[],[f3840,f1241]) ).

fof(f3840,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c2_1(X27) )
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_34
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f543,f3680]) ).

fof(f3680,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c1_1(X7) )
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f460,f3452]) ).

fof(f3452,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c3_1(X22) )
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f530,f449]) ).

fof(f543,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c2_1(X27)
        | ~ c1_1(X27) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl0_37
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | ~ c2_1(X27)
        | ~ c1_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f3960,plain,
    ( ~ spl0_361
    | spl0_194
    | ~ spl0_28
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f3955,f1309,f507,f1319,f3957]) ).

fof(f3955,plain,
    ( c1_1(a1644)
    | ~ c2_1(a1644)
    | ~ spl0_28
    | ~ spl0_192 ),
    inference(resolution,[],[f1311,f508]) ).

fof(f3953,plain,
    ( spl0_190
    | spl0_191
    | ~ spl0_13
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f3951,f1293,f448,f1303,f1298]) ).

fof(f1298,plain,
    ( spl0_190
  <=> c2_1(a1649) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f1303,plain,
    ( spl0_191
  <=> c3_1(a1649) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f1293,plain,
    ( spl0_189
  <=> c0_1(a1649) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f3951,plain,
    ( c3_1(a1649)
    | c2_1(a1649)
    | ~ spl0_13
    | ~ spl0_189 ),
    inference(resolution,[],[f1295,f449]) ).

fof(f1295,plain,
    ( c0_1(a1649)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f3839,plain,
    ( ~ spl0_358
    | spl0_294
    | ~ spl0_28
    | ~ spl0_295 ),
    inference(avatar_split_clause,[],[f3495,f1858,f507,f1853,f3836]) ).

fof(f3495,plain,
    ( c1_1(a1667)
    | ~ c2_1(a1667)
    | ~ spl0_28
    | ~ spl0_295 ),
    inference(resolution,[],[f508,f1860]) ).

fof(f3833,plain,
    ( ~ spl0_38
    | ~ spl0_117
    | ~ spl0_118
    | spl0_119 ),
    inference(avatar_contradiction_clause,[],[f3832]) ).

fof(f3832,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_117
    | ~ spl0_118
    | spl0_119 ),
    inference(subsumption_resolution,[],[f3831,f911]) ).

fof(f911,plain,
    ( c3_1(a1715)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f909,plain,
    ( spl0_117
  <=> c3_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f3831,plain,
    ( ~ c3_1(a1715)
    | ~ spl0_38
    | ~ spl0_118
    | spl0_119 ),
    inference(subsumption_resolution,[],[f3817,f921]) ).

fof(f921,plain,
    ( ~ c2_1(a1715)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl0_119
  <=> c2_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3817,plain,
    ( c2_1(a1715)
    | ~ c3_1(a1715)
    | ~ spl0_38
    | ~ spl0_118 ),
    inference(resolution,[],[f546,f916]) ).

fof(f916,plain,
    ( c1_1(a1715)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl0_118
  <=> c1_1(a1715) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f546,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | c2_1(X26)
        | ~ c3_1(X26) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_38
  <=> ! [X26] :
        ( ~ c3_1(X26)
        | c2_1(X26)
        | ~ c1_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f3828,plain,
    ( ~ spl0_38
    | ~ spl0_186
    | spl0_187
    | ~ spl0_188 ),
    inference(avatar_contradiction_clause,[],[f3827]) ).

fof(f3827,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_186
    | spl0_187
    | ~ spl0_188 ),
    inference(subsumption_resolution,[],[f3826,f1289]) ).

fof(f1289,plain,
    ( c3_1(a1651)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1287]) ).

fof(f1287,plain,
    ( spl0_188
  <=> c3_1(a1651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f3826,plain,
    ( ~ c3_1(a1651)
    | ~ spl0_38
    | ~ spl0_186
    | spl0_187 ),
    inference(subsumption_resolution,[],[f3811,f1284]) ).

fof(f1284,plain,
    ( ~ c2_1(a1651)
    | spl0_187 ),
    inference(avatar_component_clause,[],[f1282]) ).

fof(f1282,plain,
    ( spl0_187
  <=> c2_1(a1651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f3811,plain,
    ( c2_1(a1651)
    | ~ c3_1(a1651)
    | ~ spl0_38
    | ~ spl0_186 ),
    inference(resolution,[],[f546,f1279]) ).

fof(f1279,plain,
    ( c1_1(a1651)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f1277,plain,
    ( spl0_186
  <=> c1_1(a1651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f3823,plain,
    ( ~ spl0_38
    | spl0_213
    | ~ spl0_214
    | ~ spl0_215 ),
    inference(avatar_contradiction_clause,[],[f3822]) ).

fof(f3822,plain,
    ( $false
    | ~ spl0_38
    | spl0_213
    | ~ spl0_214
    | ~ spl0_215 ),
    inference(subsumption_resolution,[],[f3821,f1428]) ).

fof(f1428,plain,
    ( c3_1(a1725)
    | ~ spl0_214 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f1426,plain,
    ( spl0_214
  <=> c3_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f3821,plain,
    ( ~ c3_1(a1725)
    | ~ spl0_38
    | spl0_213
    | ~ spl0_215 ),
    inference(subsumption_resolution,[],[f3806,f1423]) ).

fof(f1423,plain,
    ( ~ c2_1(a1725)
    | spl0_213 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f1421,plain,
    ( spl0_213
  <=> c2_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f3806,plain,
    ( c2_1(a1725)
    | ~ c3_1(a1725)
    | ~ spl0_38
    | ~ spl0_215 ),
    inference(resolution,[],[f546,f1433]) ).

fof(f1433,plain,
    ( c1_1(a1725)
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f1431]) ).

fof(f1431,plain,
    ( spl0_215
  <=> c1_1(a1725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f3790,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_32
    | spl0_142
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3789]) ).

fof(f3789,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_32
    | spl0_142
    | spl0_143 ),
    inference(subsumption_resolution,[],[f3755,f1044]) ).

fof(f1044,plain,
    ( ~ c1_1(a1686)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1042,plain,
    ( spl0_142
  <=> c1_1(a1686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f3755,plain,
    ( c1_1(a1686)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_32
    | spl0_143 ),
    inference(resolution,[],[f3736,f1049]) ).

fof(f1049,plain,
    ( ~ c3_1(a1686)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1047,plain,
    ( spl0_143
  <=> c3_1(a1686) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f3736,plain,
    ( ! [X24] :
        ( c3_1(X24)
        | c1_1(X24) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f524,f3535]) ).

fof(f3535,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f420,f431]) ).

fof(f431,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c2_1(X4)
        | c3_1(X4) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_8
  <=> ! [X4] :
        ( ~ c1_1(X4)
        | ~ c2_1(X4)
        | c3_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3523,plain,
    ( ~ spl0_153
    | ~ spl0_28
    | ~ spl0_154
    | spl0_155 ),
    inference(avatar_split_clause,[],[f3520,f1111,f1106,f507,f1101]) ).

fof(f1101,plain,
    ( spl0_153
  <=> c2_1(a1673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1106,plain,
    ( spl0_154
  <=> c3_1(a1673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1111,plain,
    ( spl0_155
  <=> c1_1(a1673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3520,plain,
    ( ~ c2_1(a1673)
    | ~ spl0_28
    | ~ spl0_154
    | spl0_155 ),
    inference(subsumption_resolution,[],[f3509,f1113]) ).

fof(f1113,plain,
    ( ~ c1_1(a1673)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f3509,plain,
    ( c1_1(a1673)
    | ~ c2_1(a1673)
    | ~ spl0_28
    | ~ spl0_154 ),
    inference(resolution,[],[f508,f1108]) ).

fof(f1108,plain,
    ( c3_1(a1673)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f3407,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_115
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f3406]) ).

fof(f3406,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_115
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f3380,f905]) ).

fof(f905,plain,
    ( c2_1(a1716)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f3380,plain,
    ( ~ c2_1(a1716)
    | ~ spl0_5
    | ~ spl0_8
    | spl0_115 ),
    inference(resolution,[],[f3353,f900]) ).

fof(f3353,plain,
    ( ! [X4] :
        ( c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f431,f420]) ).

fof(f3403,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_138
    | spl0_140 ),
    inference(avatar_contradiction_clause,[],[f3402]) ).

fof(f3402,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_138
    | spl0_140 ),
    inference(subsumption_resolution,[],[f3376,f1023]) ).

fof(f1023,plain,
    ( c2_1(a1687)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1021,plain,
    ( spl0_138
  <=> c2_1(a1687) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3376,plain,
    ( ~ c2_1(a1687)
    | ~ spl0_5
    | ~ spl0_8
    | spl0_140 ),
    inference(resolution,[],[f3353,f1033]) ).

fof(f1033,plain,
    ( ~ c3_1(a1687)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1031,plain,
    ( spl0_140
  <=> c3_1(a1687) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f3251,plain,
    ( ~ spl0_13
    | ~ spl0_19
    | ~ spl0_25
    | ~ spl0_295
    | ~ spl0_296 ),
    inference(avatar_contradiction_clause,[],[f3250]) ).

fof(f3250,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_25
    | ~ spl0_295
    | ~ spl0_296 ),
    inference(subsumption_resolution,[],[f3242,f1860]) ).

fof(f3242,plain,
    ( ~ c3_1(a1667)
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_25
    | ~ spl0_296 ),
    inference(resolution,[],[f3186,f1865]) ).

fof(f3186,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | ~ c3_1(X18) )
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f497,f2102]) ).

fof(f2102,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9) )
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f471,f449]) ).

fof(f3235,plain,
    ( ~ spl0_13
    | ~ spl0_19
    | ~ spl0_33
    | spl0_255
    | spl0_256 ),
    inference(avatar_contradiction_clause,[],[f3234]) ).

fof(f3234,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_33
    | spl0_255
    | spl0_256 ),
    inference(subsumption_resolution,[],[f3225,f1652]) ).

fof(f3225,plain,
    ( c1_1(a1691)
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_33
    | spl0_255 ),
    inference(resolution,[],[f3185,f1647]) ).

fof(f3185,plain,
    ( ! [X23] :
        ( c2_1(X23)
        | c1_1(X23) )
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f527,f2102]) ).

fof(f3182,plain,
    ( spl0_152
    | spl0_151
    | ~ spl0_10
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f3177,f1085,f437,f1090,f1095]) ).

fof(f3177,plain,
    ( c2_1(a1674)
    | c1_1(a1674)
    | ~ spl0_10
    | ~ spl0_150 ),
    inference(resolution,[],[f1087,f438]) ).

fof(f3171,plain,
    ( spl0_349
    | ~ spl0_27
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3170,f999,f989,f504,f2828]) ).

fof(f999,plain,
    ( spl0_134
  <=> c1_1(a1702) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f3170,plain,
    ( c0_1(a1702)
    | ~ spl0_27
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f3153,f991]) ).

fof(f3153,plain,
    ( c0_1(a1702)
    | ~ c3_1(a1702)
    | ~ spl0_27
    | ~ spl0_134 ),
    inference(resolution,[],[f505,f1001]) ).

fof(f1001,plain,
    ( c1_1(a1702)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f3162,plain,
    ( ~ spl0_27
    | spl0_219
    | ~ spl0_221
    | ~ spl0_344 ),
    inference(avatar_contradiction_clause,[],[f3161]) ).

fof(f3161,plain,
    ( $false
    | ~ spl0_27
    | spl0_219
    | ~ spl0_221
    | ~ spl0_344 ),
    inference(subsumption_resolution,[],[f3160,f1465]) ).

fof(f1465,plain,
    ( c3_1(a1718)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1463]) ).

fof(f1463,plain,
    ( spl0_221
  <=> c3_1(a1718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f3160,plain,
    ( ~ c3_1(a1718)
    | ~ spl0_27
    | spl0_219
    | ~ spl0_344 ),
    inference(subsumption_resolution,[],[f3144,f1455]) ).

fof(f1455,plain,
    ( ~ c0_1(a1718)
    | spl0_219 ),
    inference(avatar_component_clause,[],[f1453]) ).

fof(f1453,plain,
    ( spl0_219
  <=> c0_1(a1718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f3144,plain,
    ( c0_1(a1718)
    | ~ c3_1(a1718)
    | ~ spl0_27
    | ~ spl0_344 ),
    inference(resolution,[],[f505,f2441]) ).

fof(f2441,plain,
    ( c1_1(a1718)
    | ~ spl0_344 ),
    inference(avatar_component_clause,[],[f2439]) ).

fof(f2439,plain,
    ( spl0_344
  <=> c1_1(a1718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f3159,plain,
    ( ~ spl0_27
    | spl0_243
    | ~ spl0_244
    | ~ spl0_245 ),
    inference(avatar_contradiction_clause,[],[f3158]) ).

fof(f3158,plain,
    ( $false
    | ~ spl0_27
    | spl0_243
    | ~ spl0_244
    | ~ spl0_245 ),
    inference(subsumption_resolution,[],[f3157,f1588]) ).

fof(f1588,plain,
    ( c3_1(a1698)
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f1586]) ).

fof(f1586,plain,
    ( spl0_244
  <=> c3_1(a1698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f3157,plain,
    ( ~ c3_1(a1698)
    | ~ spl0_27
    | spl0_243
    | ~ spl0_245 ),
    inference(subsumption_resolution,[],[f3143,f1583]) ).

fof(f1583,plain,
    ( ~ c0_1(a1698)
    | spl0_243 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f1581,plain,
    ( spl0_243
  <=> c0_1(a1698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f3143,plain,
    ( c0_1(a1698)
    | ~ c3_1(a1698)
    | ~ spl0_27
    | ~ spl0_245 ),
    inference(resolution,[],[f505,f1593]) ).

fof(f1593,plain,
    ( c1_1(a1698)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1591]) ).

fof(f1591,plain,
    ( spl0_245
  <=> c1_1(a1698) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f3095,plain,
    ( spl0_344
    | spl0_220
    | ~ spl0_10
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f3036,f1463,f437,f1458,f2439]) ).

fof(f1458,plain,
    ( spl0_220
  <=> c2_1(a1718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f3036,plain,
    ( c2_1(a1718)
    | c1_1(a1718)
    | ~ spl0_10
    | ~ spl0_221 ),
    inference(resolution,[],[f438,f1465]) ).

fof(f3053,plain,
    ( spl0_332
    | ~ spl0_10
    | spl0_330
    | ~ spl0_331 ),
    inference(avatar_split_clause,[],[f3047,f2050,f2045,f437,f2055]) ).

fof(f3047,plain,
    ( c1_1(a1643)
    | ~ spl0_10
    | spl0_330
    | ~ spl0_331 ),
    inference(subsumption_resolution,[],[f3029,f2047]) ).

fof(f3029,plain,
    ( c2_1(a1643)
    | c1_1(a1643)
    | ~ spl0_10
    | ~ spl0_331 ),
    inference(resolution,[],[f438,f2052]) ).

fof(f2933,plain,
    ( ~ spl0_349
    | ~ spl0_7
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2932,f999,f989,f426,f2828]) ).

fof(f2932,plain,
    ( ~ c0_1(a1702)
    | ~ spl0_7
    | ~ spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f2926,f991]) ).

fof(f2926,plain,
    ( ~ c0_1(a1702)
    | ~ c3_1(a1702)
    | ~ spl0_7
    | ~ spl0_134 ),
    inference(resolution,[],[f427,f1001]) ).

fof(f2931,plain,
    ( ~ spl0_7
    | ~ spl0_177
    | ~ spl0_179
    | ~ spl0_343 ),
    inference(avatar_contradiction_clause,[],[f2930]) ).

fof(f2930,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_177
    | ~ spl0_179
    | ~ spl0_343 ),
    inference(subsumption_resolution,[],[f2929,f1231]) ).

fof(f2929,plain,
    ( ~ c3_1(a1654)
    | ~ spl0_7
    | ~ spl0_179
    | ~ spl0_343 ),
    inference(subsumption_resolution,[],[f2924,f1241]) ).

fof(f2924,plain,
    ( ~ c0_1(a1654)
    | ~ c3_1(a1654)
    | ~ spl0_7
    | ~ spl0_343 ),
    inference(resolution,[],[f427,f2404]) ).

fof(f2404,plain,
    ( c1_1(a1654)
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f2402]) ).

fof(f2700,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_19
    | spl0_213
    | ~ spl0_215 ),
    inference(avatar_contradiction_clause,[],[f2699]) ).

fof(f2699,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_19
    | spl0_213
    | ~ spl0_215 ),
    inference(subsumption_resolution,[],[f2696,f1433]) ).

fof(f2696,plain,
    ( ~ c1_1(a1725)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_19
    | spl0_213 ),
    inference(resolution,[],[f2575,f1423]) ).

fof(f2575,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f408,f2102]) ).

fof(f2654,plain,
    ( spl0_152
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2652,f1085,f459,f452,f1095]) ).

fof(f2652,plain,
    ( c1_1(a1674)
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_150 ),
    inference(resolution,[],[f1087,f2593]) ).

fof(f2593,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f460,f453]) ).

fof(f2443,plain,
    ( spl0_219
    | ~ spl0_14
    | ~ spl0_27
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f2433,f1463,f504,f452,f1453]) ).

fof(f2433,plain,
    ( c0_1(a1718)
    | ~ spl0_14
    | ~ spl0_27
    | ~ spl0_221 ),
    inference(resolution,[],[f1465,f2140]) ).

fof(f2140,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c0_1(X20) )
    | ~ spl0_14
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f505,f453]) ).

fof(f2397,plain,
    ( spl0_312
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_313 ),
    inference(avatar_split_clause,[],[f2393,f1954,f470,f448,f1949]) ).

fof(f2393,plain,
    ( c2_1(a1655)
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_313 ),
    inference(resolution,[],[f1956,f2102]) ).

fof(f2378,plain,
    ( ~ spl0_13
    | ~ spl0_34
    | ~ spl0_112
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2377]) ).

fof(f2377,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_34
    | ~ spl0_112
    | spl0_113 ),
    inference(subsumption_resolution,[],[f2369,f889]) ).

fof(f2369,plain,
    ( c3_1(a1717)
    | ~ spl0_13
    | ~ spl0_34
    | ~ spl0_112 ),
    inference(resolution,[],[f2361,f884]) ).

fof(f2361,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c3_1(X22) )
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f530,f449]) ).

fof(f2375,plain,
    ( ~ spl0_13
    | ~ spl0_34
    | ~ spl0_147
    | spl0_149 ),
    inference(avatar_contradiction_clause,[],[f2374]) ).

fof(f2374,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_34
    | ~ spl0_147
    | spl0_149 ),
    inference(subsumption_resolution,[],[f2367,f1081]) ).

fof(f1081,plain,
    ( ~ c3_1(a1675)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1079,plain,
    ( spl0_149
  <=> c3_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f2367,plain,
    ( c3_1(a1675)
    | ~ spl0_13
    | ~ spl0_34
    | ~ spl0_147 ),
    inference(resolution,[],[f2361,f1071]) ).

fof(f1071,plain,
    ( c0_1(a1675)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1069,plain,
    ( spl0_147
  <=> c0_1(a1675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f2373,plain,
    ( ~ spl0_13
    | ~ spl0_34
    | ~ spl0_174
    | spl0_176 ),
    inference(avatar_contradiction_clause,[],[f2372]) ).

fof(f2372,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_34
    | ~ spl0_174
    | spl0_176 ),
    inference(subsumption_resolution,[],[f2365,f1225]) ).

fof(f2365,plain,
    ( c3_1(a1656)
    | ~ spl0_13
    | ~ spl0_34
    | ~ spl0_174 ),
    inference(resolution,[],[f2361,f1215]) ).

fof(f2257,plain,
    ( spl0_160
    | spl0_161
    | ~ spl0_14
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2255,f1133,f452,f1143,f1138]) ).

fof(f1138,plain,
    ( spl0_160
  <=> c1_1(a1668) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1143,plain,
    ( spl0_161
  <=> c0_1(a1668) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1133,plain,
    ( spl0_159
  <=> c3_1(a1668) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2255,plain,
    ( c0_1(a1668)
    | c1_1(a1668)
    | ~ spl0_14
    | ~ spl0_159 ),
    inference(resolution,[],[f1135,f453]) ).

fof(f1135,plain,
    ( c3_1(a1668)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f2133,plain,
    ( spl0_32
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2125,f646,f452,f448,f523]) ).

fof(f2125,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_61 ),
    inference(resolution,[],[f2106,f449]) ).

fof(f2106,plain,
    ( ! [X45] :
        ( c0_1(X45)
        | c1_1(X45) )
    | ~ spl0_14
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f647,f453]) ).

fof(f2083,plain,
    ( ~ spl0_5
    | spl0_249
    | ~ spl0_250
    | spl0_251 ),
    inference(avatar_contradiction_clause,[],[f2082]) ).

fof(f2082,plain,
    ( $false
    | ~ spl0_5
    | spl0_249
    | ~ spl0_250
    | spl0_251 ),
    inference(subsumption_resolution,[],[f2081,f1615]) ).

fof(f1615,plain,
    ( ~ c3_1(a1694)
    | spl0_249 ),
    inference(avatar_component_clause,[],[f1613]) ).

fof(f1613,plain,
    ( spl0_249
  <=> c3_1(a1694) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f2081,plain,
    ( c3_1(a1694)
    | ~ spl0_5
    | ~ spl0_250
    | spl0_251 ),
    inference(subsumption_resolution,[],[f2076,f1625]) ).

fof(f1625,plain,
    ( ~ c1_1(a1694)
    | spl0_251 ),
    inference(avatar_component_clause,[],[f1623]) ).

fof(f1623,plain,
    ( spl0_251
  <=> c1_1(a1694) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f2076,plain,
    ( c1_1(a1694)
    | c3_1(a1694)
    | ~ spl0_5
    | ~ spl0_250 ),
    inference(resolution,[],[f420,f1620]) ).

fof(f1620,plain,
    ( c2_1(a1694)
    | ~ spl0_250 ),
    inference(avatar_component_clause,[],[f1618]) ).

fof(f1618,plain,
    ( spl0_250
  <=> c2_1(a1694) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f2074,plain,
    ( ~ spl0_39
    | spl0_335 ),
    inference(avatar_split_clause,[],[f8,f2071,f548]) ).

fof(f548,plain,
    ( spl0_39
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f8,plain,
    ( c1_1(a1637)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp30
      | hskp41
      | ! [X0] :
          ( c0_1(X0)
          | ~ c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp40
      | ! [X2] :
          ( c3_1(X2)
          | ~ c2_1(X2)
          | c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c2_1(X3)
          | c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp75
      | ! [X4] :
          ( ~ c1_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c3_1(X5)
          | c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp61 )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | hskp29
      | ! [X8] :
          ( ~ c3_1(X8)
          | c1_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | hskp39 )
    & ( ! [X11] :
          ( ~ c0_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | hskp57
      | ! [X12] :
          ( c3_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | hskp47
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp38
      | hskp74 )
    & ( ! [X19] :
          ( c1_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c0_1(X20)
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | hskp73 )
    & ( hskp72
      | ! [X21] :
          ( c2_1(X21)
          | c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp37 )
    & ( ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | c1_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp71
      | hskp36
      | ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | hskp70 )
    & ( ! [X30] :
          ( c1_1(X30)
          | c0_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp69 )
    & ( hskp13
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c2_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | hskp68
      | hskp35 )
    & ( ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp34 )
    & ( hskp33
      | hskp61
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp67
      | ! [X38] :
          ( c1_1(X38)
          | ~ c0_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp32
      | hskp31
      | hskp63 )
    & ( hskp30
      | ! [X40] :
          ( c1_1(X40)
          | ~ c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp53
      | hskp52
      | hskp29 )
    & ( hskp28
      | hskp27
      | hskp66 )
    & ( ! [X42] :
          ( c1_1(X42)
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp26
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | c0_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp24
      | hskp61 )
    & ( hskp65
      | hskp64
      | hskp23 )
    & ( ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp22
      | ! [X48] :
          ( c3_1(X48)
          | c0_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp21
      | ! [X50] :
          ( c2_1(X50)
          | c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X51] :
          ( c3_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X52] :
          ( c3_1(X52)
          | ~ c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | hskp18
      | hskp60 )
    & ( hskp17
      | hskp16
      | ! [X53] :
          ( ~ c3_1(X53)
          | c1_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | hskp63 )
    & ( ! [X56] :
          ( c1_1(X56)
          | ~ c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | ~ c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp62
      | hskp61
      | ! [X59] :
          ( c0_1(X59)
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | ~ c2_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | hskp60 )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c0_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | hskp10 )
    & ( ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | hskp59
      | hskp58 )
    & ( ! [X66] :
          ( ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( hskp57
      | hskp11
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( c0_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | hskp56 )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | ~ c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c3_1(X72)
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp55
      | hskp9 )
    & ( ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c0_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp54
      | hskp8
      | hskp53 )
    & ( hskp7
      | ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp52 )
    & ( hskp51
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp50 )
    & ( hskp49
      | ! [X80] :
          ( c0_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp48
      | ! [X82] :
          ( c2_1(X82)
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X83] :
          ( ~ c3_1(X83)
          | c0_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | hskp47 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | hskp1
      | ! [X85] :
          ( c3_1(X85)
          | c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp46
      | ! [X87] :
          ( c2_1(X87)
          | ~ c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp45
      | hskp44
      | hskp43 )
    & ( hskp42
      | ! [X88] :
          ( c3_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( c3_1(a1724)
        & ~ c2_1(a1724)
        & c0_1(a1724)
        & ndr1_0 )
      | ~ hskp75 )
    & ( ( c2_1(a1717)
        & c0_1(a1717)
        & ~ c3_1(a1717)
        & ndr1_0 )
      | ~ hskp74 )
    & ( ( c0_1(a1716)
        & ~ c3_1(a1716)
        & c2_1(a1716)
        & ndr1_0 )
      | ~ hskp73 )
    & ( ( c3_1(a1715)
        & c1_1(a1715)
        & ~ c2_1(a1715)
        & ndr1_0 )
      | ~ hskp72 )
    & ( ( c0_1(a1713)
        & c3_1(a1713)
        & ~ c2_1(a1713)
        & ndr1_0 )
      | ~ hskp71 )
    & ( ( c1_1(a1710)
        & ~ c3_1(a1710)
        & ~ c0_1(a1710)
        & ndr1_0 )
      | ~ hskp70 )
    & ( ( c3_1(a1709)
        & c0_1(a1709)
        & ~ c1_1(a1709)
        & ndr1_0 )
      | ~ hskp69 )
    & ( ( c0_1(a1707)
        & c3_1(a1707)
        & ~ c1_1(a1707)
        & ndr1_0 )
      | ~ hskp68 )
    & ( ( c3_1(a1702)
        & c2_1(a1702)
        & c1_1(a1702)
        & ndr1_0 )
      | ~ hskp67 )
    & ( ( c0_1(a1692)
        & ~ c2_1(a1692)
        & ~ c1_1(a1692)
        & ndr1_0 )
      | ~ hskp66 )
    & ( ( c2_1(a1687)
        & ~ c0_1(a1687)
        & ~ c3_1(a1687)
        & ndr1_0 )
      | ~ hskp65 )
    & ( ( c0_1(a1686)
        & ~ c1_1(a1686)
        & ~ c3_1(a1686)
        & ndr1_0 )
      | ~ hskp64 )
    & ( ( c3_1(a1676)
        & c2_1(a1676)
        & ~ c0_1(a1676)
        & ndr1_0 )
      | ~ hskp63 )
    & ( ( c0_1(a1675)
        & c1_1(a1675)
        & ~ c3_1(a1675)
        & ndr1_0 )
      | ~ hskp62 )
    & ( ( c3_1(a1674)
        & ~ c2_1(a1674)
        & ~ c1_1(a1674)
        & ndr1_0 )
      | ~ hskp61 )
    & ( ( c2_1(a1673)
        & c3_1(a1673)
        & ~ c1_1(a1673)
        & ndr1_0 )
      | ~ hskp60 )
    & ( ( c0_1(a1669)
        & ~ c2_1(a1669)
        & c3_1(a1669)
        & ndr1_0 )
      | ~ hskp59 )
    & ( ( c3_1(a1668)
        & ~ c1_1(a1668)
        & ~ c0_1(a1668)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c3_1(a1665)
        & ~ c1_1(a1665)
        & c0_1(a1665)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c1_1(a1662)
        & ~ c2_1(a1662)
        & c0_1(a1662)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c1_1(a1661)
        & ~ c3_1(a1661)
        & ~ c2_1(a1661)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c1_1(a1658)
        & ~ c0_1(a1658)
        & c3_1(a1658)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c0_1(a1656)
        & c2_1(a1656)
        & ~ c3_1(a1656)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c3_1(a1654)
        & c2_1(a1654)
        & c0_1(a1654)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c1_1(a1653)
        & ~ c0_1(a1653)
        & c2_1(a1653)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c0_1(a1652)
        & c2_1(a1652)
        & c3_1(a1652)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c1_1(a1651)
        & ~ c2_1(a1651)
        & c3_1(a1651)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c0_1(a1649)
        & ~ c2_1(a1649)
        & ~ c3_1(a1649)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c3_1(a1644)
        & ~ c0_1(a1644)
        & ~ c1_1(a1644)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c0_1(a1642)
        & ~ c1_1(a1642)
        & ~ c2_1(a1642)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c2_1(a1641)
        & ~ c1_1(a1641)
        & ~ c3_1(a1641)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c1_1(a1640)
        & c2_1(a1640)
        & c3_1(a1640)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a1639)
        & c2_1(a1639)
        & ~ c1_1(a1639)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c0_1(a1638)
        & ~ c3_1(a1638)
        & c1_1(a1638)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( ~ c1_1(a1726)
        & c2_1(a1726)
        & c0_1(a1726)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( ~ c2_1(a1725)
        & c3_1(a1725)
        & c1_1(a1725)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( ~ c0_1(a1721)
        & c3_1(a1721)
        & ~ c1_1(a1721)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( ~ c0_1(a1718)
        & ~ c2_1(a1718)
        & c3_1(a1718)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( ~ c1_1(a1714)
        & c0_1(a1714)
        & c2_1(a1714)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( ~ c1_1(a1712)
        & ~ c0_1(a1712)
        & ~ c2_1(a1712)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( ~ c1_1(a1706)
        & ~ c3_1(a1706)
        & ~ c0_1(a1706)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( ~ c1_1(a1705)
        & ~ c3_1(a1705)
        & c2_1(a1705)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( ~ c2_1(a1704)
        & ~ c0_1(a1704)
        & c3_1(a1704)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( ~ c3_1(a1701)
        & c0_1(a1701)
        & c1_1(a1701)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( ~ c3_1(a1700)
        & ~ c0_1(a1700)
        & c2_1(a1700)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( ~ c0_1(a1698)
        & c3_1(a1698)
        & c1_1(a1698)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( ~ c3_1(a1695)
        & c0_1(a1695)
        & c2_1(a1695)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( ~ c3_1(a1694)
        & c2_1(a1694)
        & ~ c1_1(a1694)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1693)
        & ~ c3_1(a1693)
        & ~ c0_1(a1693)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1691)
        & ~ c1_1(a1691)
        & ~ c3_1(a1691)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a1690)
        & ~ c0_1(a1690)
        & c2_1(a1690)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a1689)
        & c3_1(a1689)
        & ~ c0_1(a1689)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a1685)
        & c2_1(a1685)
        & ~ c0_1(a1685)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1684)
        & c2_1(a1684)
        & ~ c0_1(a1684)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1683)
        & c2_1(a1683)
        & c3_1(a1683)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a1682)
        & ~ c1_1(a1682)
        & ~ c2_1(a1682)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1681)
        & ~ c3_1(a1681)
        & ~ c1_1(a1681)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1680)
        & ~ c1_1(a1680)
        & ~ c3_1(a1680)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a1678)
        & ~ c1_1(a1678)
        & ~ c0_1(a1678)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1677)
        & ~ c2_1(a1677)
        & ~ c0_1(a1677)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a1672)
        & c1_1(a1672)
        & c3_1(a1672)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1671)
        & ~ c1_1(a1671)
        & c2_1(a1671)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a1667)
        & c3_1(a1667)
        & c0_1(a1667)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a1666)
        & c3_1(a1666)
        & c2_1(a1666)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1664)
        & ~ c2_1(a1664)
        & ~ c3_1(a1664)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a1663)
        & ~ c3_1(a1663)
        & ~ c2_1(a1663)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1660)
        & ~ c0_1(a1660)
        & ~ c3_1(a1660)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a1657)
        & ~ c1_1(a1657)
        & c2_1(a1657)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a1655)
        & c0_1(a1655)
        & c3_1(a1655)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a1650)
        & ~ c2_1(a1650)
        & ~ c1_1(a1650)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1648)
        & ~ c1_1(a1648)
        & c3_1(a1648)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1647)
        & ~ c0_1(a1647)
        & c1_1(a1647)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1646)
        & ~ c1_1(a1646)
        & c0_1(a1646)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a1645)
        & ~ c0_1(a1645)
        & ~ c1_1(a1645)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1643)
        & c3_1(a1643)
        & ~ c1_1(a1643)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1637)
        & c0_1(a1637)
        & c1_1(a1637)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp30
      | hskp41
      | ! [X0] :
          ( c0_1(X0)
          | ~ c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp40
      | ! [X2] :
          ( c3_1(X2)
          | ~ c2_1(X2)
          | c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c2_1(X3)
          | c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp75
      | ! [X4] :
          ( ~ c1_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c3_1(X5)
          | c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp61 )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | hskp29
      | ! [X8] :
          ( ~ c3_1(X8)
          | c1_1(X8)
          | c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | hskp39 )
    & ( ! [X11] :
          ( ~ c0_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | hskp57
      | ! [X12] :
          ( c3_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | hskp47
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp38
      | hskp74 )
    & ( ! [X19] :
          ( c1_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c0_1(X20)
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | hskp73 )
    & ( hskp72
      | ! [X21] :
          ( c2_1(X21)
          | c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp37 )
    & ( ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | c1_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp71
      | hskp36
      | ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c3_1(X28)
          | c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | hskp70 )
    & ( ! [X30] :
          ( c1_1(X30)
          | c0_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp69 )
    & ( hskp13
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c2_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | hskp68
      | hskp35 )
    & ( ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp34 )
    & ( hskp33
      | hskp61
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp67
      | ! [X38] :
          ( c1_1(X38)
          | ~ c0_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp32
      | hskp31
      | hskp63 )
    & ( hskp30
      | ! [X40] :
          ( c1_1(X40)
          | ~ c3_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp53
      | hskp52
      | hskp29 )
    & ( hskp28
      | hskp27
      | hskp66 )
    & ( ! [X42] :
          ( c1_1(X42)
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp26
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | c0_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp24
      | hskp61 )
    & ( hskp65
      | hskp64
      | hskp23 )
    & ( ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp22
      | ! [X48] :
          ( c3_1(X48)
          | c0_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp21
      | ! [X50] :
          ( c2_1(X50)
          | c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X51] :
          ( c3_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X52] :
          ( c3_1(X52)
          | ~ c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | hskp18
      | hskp60 )
    & ( hskp17
      | hskp16
      | ! [X53] :
          ( ~ c3_1(X53)
          | c1_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | hskp63 )
    & ( ! [X56] :
          ( c1_1(X56)
          | ~ c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | ~ c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp62
      | hskp61
      | ! [X59] :
          ( c0_1(X59)
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | ~ c2_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | hskp60 )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c0_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | hskp10 )
    & ( ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | hskp59
      | hskp58 )
    & ( ! [X66] :
          ( ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( hskp57
      | hskp11
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( c0_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | hskp56 )
    & ( ! [X69] :
          ( ~ c0_1(X69)
          | ~ c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c3_1(X72)
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp55
      | hskp9 )
    & ( ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c0_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp54
      | hskp8
      | hskp53 )
    & ( hskp7
      | ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp52 )
    & ( hskp51
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp50 )
    & ( hskp49
      | ! [X80] :
          ( c0_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp48
      | ! [X82] :
          ( c2_1(X82)
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X83] :
          ( ~ c3_1(X83)
          | c0_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | hskp47 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | hskp1
      | ! [X85] :
          ( c3_1(X85)
          | c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp46
      | ! [X87] :
          ( c2_1(X87)
          | ~ c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp45
      | hskp44
      | hskp43 )
    & ( hskp42
      | ! [X88] :
          ( c3_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( c3_1(a1724)
        & ~ c2_1(a1724)
        & c0_1(a1724)
        & ndr1_0 )
      | ~ hskp75 )
    & ( ( c2_1(a1717)
        & c0_1(a1717)
        & ~ c3_1(a1717)
        & ndr1_0 )
      | ~ hskp74 )
    & ( ( c0_1(a1716)
        & ~ c3_1(a1716)
        & c2_1(a1716)
        & ndr1_0 )
      | ~ hskp73 )
    & ( ( c3_1(a1715)
        & c1_1(a1715)
        & ~ c2_1(a1715)
        & ndr1_0 )
      | ~ hskp72 )
    & ( ( c0_1(a1713)
        & c3_1(a1713)
        & ~ c2_1(a1713)
        & ndr1_0 )
      | ~ hskp71 )
    & ( ( c1_1(a1710)
        & ~ c3_1(a1710)
        & ~ c0_1(a1710)
        & ndr1_0 )
      | ~ hskp70 )
    & ( ( c3_1(a1709)
        & c0_1(a1709)
        & ~ c1_1(a1709)
        & ndr1_0 )
      | ~ hskp69 )
    & ( ( c0_1(a1707)
        & c3_1(a1707)
        & ~ c1_1(a1707)
        & ndr1_0 )
      | ~ hskp68 )
    & ( ( c3_1(a1702)
        & c2_1(a1702)
        & c1_1(a1702)
        & ndr1_0 )
      | ~ hskp67 )
    & ( ( c0_1(a1692)
        & ~ c2_1(a1692)
        & ~ c1_1(a1692)
        & ndr1_0 )
      | ~ hskp66 )
    & ( ( c2_1(a1687)
        & ~ c0_1(a1687)
        & ~ c3_1(a1687)
        & ndr1_0 )
      | ~ hskp65 )
    & ( ( c0_1(a1686)
        & ~ c1_1(a1686)
        & ~ c3_1(a1686)
        & ndr1_0 )
      | ~ hskp64 )
    & ( ( c3_1(a1676)
        & c2_1(a1676)
        & ~ c0_1(a1676)
        & ndr1_0 )
      | ~ hskp63 )
    & ( ( c0_1(a1675)
        & c1_1(a1675)
        & ~ c3_1(a1675)
        & ndr1_0 )
      | ~ hskp62 )
    & ( ( c3_1(a1674)
        & ~ c2_1(a1674)
        & ~ c1_1(a1674)
        & ndr1_0 )
      | ~ hskp61 )
    & ( ( c2_1(a1673)
        & c3_1(a1673)
        & ~ c1_1(a1673)
        & ndr1_0 )
      | ~ hskp60 )
    & ( ( c0_1(a1669)
        & ~ c2_1(a1669)
        & c3_1(a1669)
        & ndr1_0 )
      | ~ hskp59 )
    & ( ( c3_1(a1668)
        & ~ c1_1(a1668)
        & ~ c0_1(a1668)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c3_1(a1665)
        & ~ c1_1(a1665)
        & c0_1(a1665)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c1_1(a1662)
        & ~ c2_1(a1662)
        & c0_1(a1662)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c1_1(a1661)
        & ~ c3_1(a1661)
        & ~ c2_1(a1661)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c1_1(a1658)
        & ~ c0_1(a1658)
        & c3_1(a1658)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c0_1(a1656)
        & c2_1(a1656)
        & ~ c3_1(a1656)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c3_1(a1654)
        & c2_1(a1654)
        & c0_1(a1654)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c1_1(a1653)
        & ~ c0_1(a1653)
        & c2_1(a1653)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c0_1(a1652)
        & c2_1(a1652)
        & c3_1(a1652)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c1_1(a1651)
        & ~ c2_1(a1651)
        & c3_1(a1651)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c0_1(a1649)
        & ~ c2_1(a1649)
        & ~ c3_1(a1649)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c3_1(a1644)
        & ~ c0_1(a1644)
        & ~ c1_1(a1644)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c0_1(a1642)
        & ~ c1_1(a1642)
        & ~ c2_1(a1642)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c2_1(a1641)
        & ~ c1_1(a1641)
        & ~ c3_1(a1641)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c1_1(a1640)
        & c2_1(a1640)
        & c3_1(a1640)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a1639)
        & c2_1(a1639)
        & ~ c1_1(a1639)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c0_1(a1638)
        & ~ c3_1(a1638)
        & c1_1(a1638)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( ~ c1_1(a1726)
        & c2_1(a1726)
        & c0_1(a1726)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( ~ c2_1(a1725)
        & c3_1(a1725)
        & c1_1(a1725)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( ~ c0_1(a1721)
        & c3_1(a1721)
        & ~ c1_1(a1721)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( ~ c0_1(a1718)
        & ~ c2_1(a1718)
        & c3_1(a1718)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( ~ c1_1(a1714)
        & c0_1(a1714)
        & c2_1(a1714)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( ~ c1_1(a1712)
        & ~ c0_1(a1712)
        & ~ c2_1(a1712)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( ~ c1_1(a1706)
        & ~ c3_1(a1706)
        & ~ c0_1(a1706)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( ~ c1_1(a1705)
        & ~ c3_1(a1705)
        & c2_1(a1705)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( ~ c2_1(a1704)
        & ~ c0_1(a1704)
        & c3_1(a1704)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( ~ c3_1(a1701)
        & c0_1(a1701)
        & c1_1(a1701)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( ~ c3_1(a1700)
        & ~ c0_1(a1700)
        & c2_1(a1700)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( ~ c0_1(a1698)
        & c3_1(a1698)
        & c1_1(a1698)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( ~ c3_1(a1695)
        & c0_1(a1695)
        & c2_1(a1695)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( ~ c3_1(a1694)
        & c2_1(a1694)
        & ~ c1_1(a1694)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1693)
        & ~ c3_1(a1693)
        & ~ c0_1(a1693)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1691)
        & ~ c1_1(a1691)
        & ~ c3_1(a1691)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a1690)
        & ~ c0_1(a1690)
        & c2_1(a1690)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a1689)
        & c3_1(a1689)
        & ~ c0_1(a1689)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a1685)
        & c2_1(a1685)
        & ~ c0_1(a1685)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1684)
        & c2_1(a1684)
        & ~ c0_1(a1684)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1683)
        & c2_1(a1683)
        & c3_1(a1683)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a1682)
        & ~ c1_1(a1682)
        & ~ c2_1(a1682)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1681)
        & ~ c3_1(a1681)
        & ~ c1_1(a1681)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1680)
        & ~ c1_1(a1680)
        & ~ c3_1(a1680)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a1678)
        & ~ c1_1(a1678)
        & ~ c0_1(a1678)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1677)
        & ~ c2_1(a1677)
        & ~ c0_1(a1677)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a1672)
        & c1_1(a1672)
        & c3_1(a1672)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1671)
        & ~ c1_1(a1671)
        & c2_1(a1671)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a1667)
        & c3_1(a1667)
        & c0_1(a1667)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a1666)
        & c3_1(a1666)
        & c2_1(a1666)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1664)
        & ~ c2_1(a1664)
        & ~ c3_1(a1664)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a1663)
        & ~ c3_1(a1663)
        & ~ c2_1(a1663)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1660)
        & ~ c0_1(a1660)
        & ~ c3_1(a1660)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a1657)
        & ~ c1_1(a1657)
        & c2_1(a1657)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a1655)
        & c0_1(a1655)
        & c3_1(a1655)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a1650)
        & ~ c2_1(a1650)
        & ~ c1_1(a1650)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1648)
        & ~ c1_1(a1648)
        & c3_1(a1648)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1647)
        & ~ c0_1(a1647)
        & c1_1(a1647)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1646)
        & ~ c1_1(a1646)
        & c0_1(a1646)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a1645)
        & ~ c0_1(a1645)
        & ~ c1_1(a1645)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1643)
        & c3_1(a1643)
        & ~ c1_1(a1643)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1637)
        & c0_1(a1637)
        & c1_1(a1637)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp30
      | hskp41
      | ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | ~ c1_1(X0)
            | c2_1(X0) ) ) )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) )
      | hskp40
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | ~ c2_1(X2)
            | c1_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | ~ c3_1(X3) ) )
      | hskp75
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | c3_1(X4)
            | ~ c2_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c2_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) )
      | hskp61 )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | c1_1(X7)
            | ~ c0_1(X7) ) )
      | hskp29
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c3_1(X10)
            | c0_1(X10) ) )
      | hskp39 )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) )
      | hskp57
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c2_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | c2_1(X15)
            | c1_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c3_1(X16)
            | ~ c0_1(X16) ) )
      | hskp47
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | ~ c1_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp38
      | hskp74 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c1_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | ~ c3_1(X20)
            | ~ c1_1(X20) ) )
      | hskp73 )
    & ( hskp72
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c0_1(X21)
            | c3_1(X21) ) )
      | hskp37 )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c1_1(X24)
            | c2_1(X24) ) ) )
    & ( hskp71
      | hskp36
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c1_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp0
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c1_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c0_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c0_1(X29)
            | c1_1(X29) ) )
      | hskp70 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c0_1(X30)
            | ~ c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) )
      | hskp69 )
    & ( hskp13
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c1_1(X34)
            | c0_1(X34) ) )
      | hskp68
      | hskp35 )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c0_1(X35)
            | c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c3_1(X36)
            | ~ c1_1(X36) ) )
      | hskp34 )
    & ( hskp33
      | hskp61
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c0_1(X37)
            | c2_1(X37) ) ) )
    & ( hskp67
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | ~ c0_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp32
      | hskp31
      | hskp63 )
    & ( hskp30
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c3_1(X40)
            | c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c2_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) ) )
    & ( hskp53
      | hskp52
      | hskp29 )
    & ( hskp28
      | hskp27
      | hskp66 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | ~ c3_1(X42)
            | ~ c2_1(X42) ) )
      | hskp26
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c3_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | ~ c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c0_1(X45)
            | c1_1(X45) ) )
      | hskp25 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c1_1(X46)
            | ~ c3_1(X46) ) )
      | hskp24
      | hskp61 )
    & ( hskp65
      | hskp64
      | hskp23 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | hskp22
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c0_1(X48)
            | ~ c2_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | ~ c1_1(X49) ) )
      | hskp21
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | c0_1(X50)
            | ~ c1_1(X50) ) ) )
    & ( hskp20
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c1_1(X51)
            | ~ c0_1(X51) ) )
      | hskp19 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | ~ c2_1(X52)
            | c1_1(X52) ) )
      | hskp18
      | hskp60 )
    & ( hskp17
      | hskp16
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c1_1(X53)
            | ~ c0_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c0_1(X55)
            | c1_1(X55) ) )
      | hskp63 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c3_1(X56)
            | c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | ~ c3_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | ~ c2_1(X58)
            | ~ c1_1(X58) ) ) )
    & ( hskp62
      | hskp61
      | ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c3_1(X59)
            | ~ c1_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | ~ c2_1(X60)
            | c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | c1_1(X61)
            | c0_1(X61) ) )
      | hskp60 )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c1_1(X64)
            | ~ c2_1(X64) ) ) )
    & ( hskp15
      | hskp14
      | hskp10 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | hskp59
      | hskp58 )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c3_1(X66)
            | ~ c2_1(X66) ) )
      | hskp13
      | hskp12 )
    & ( hskp57
      | hskp11
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( hskp10
      | ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | c3_1(X68)
            | c2_1(X68) ) )
      | hskp56 )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | ~ c3_1(X69)
            | c2_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c0_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | c1_1(X71)
            | ~ c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c2_1(X72)
            | ~ c0_1(X72) ) )
      | hskp55
      | hskp9 )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c3_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c1_1(X74)
            | c3_1(X74) ) )
      | hskp2 )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c3_1(X75)
            | ~ c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c1_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c0_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) ) )
    & ( hskp54
      | hskp8
      | hskp53 )
    & ( hskp7
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) )
      | hskp52 )
    & ( hskp51
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | ~ c1_1(X79) ) )
      | hskp50 )
    & ( hskp49
      | ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c0_1(X81)
            | c2_1(X81) ) ) )
    & ( hskp6
      | hskp48
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | ~ c3_1(X82)
            | ~ c0_1(X82) ) ) )
    & ( hskp5
      | hskp4
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c0_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp3
      | hskp2
      | hskp47 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) )
      | hskp1
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c0_1(X85)
            | c2_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c0_1(X86)
            | ~ c2_1(X86) ) )
      | hskp46
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp45
      | hskp44
      | hskp43 )
    & ( hskp42
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c0_1(X88)
            | ~ c2_1(X88) ) )
      | hskp0 )
    & ( ( c3_1(a1724)
        & ~ c2_1(a1724)
        & c0_1(a1724)
        & ndr1_0 )
      | ~ hskp75 )
    & ( ( c2_1(a1717)
        & c0_1(a1717)
        & ~ c3_1(a1717)
        & ndr1_0 )
      | ~ hskp74 )
    & ( ( c0_1(a1716)
        & ~ c3_1(a1716)
        & c2_1(a1716)
        & ndr1_0 )
      | ~ hskp73 )
    & ( ( c3_1(a1715)
        & c1_1(a1715)
        & ~ c2_1(a1715)
        & ndr1_0 )
      | ~ hskp72 )
    & ( ( c0_1(a1713)
        & c3_1(a1713)
        & ~ c2_1(a1713)
        & ndr1_0 )
      | ~ hskp71 )
    & ( ( c1_1(a1710)
        & ~ c3_1(a1710)
        & ~ c0_1(a1710)
        & ndr1_0 )
      | ~ hskp70 )
    & ( ( c3_1(a1709)
        & c0_1(a1709)
        & ~ c1_1(a1709)
        & ndr1_0 )
      | ~ hskp69 )
    & ( ( c0_1(a1707)
        & c3_1(a1707)
        & ~ c1_1(a1707)
        & ndr1_0 )
      | ~ hskp68 )
    & ( ( c3_1(a1702)
        & c2_1(a1702)
        & c1_1(a1702)
        & ndr1_0 )
      | ~ hskp67 )
    & ( ( c0_1(a1692)
        & ~ c2_1(a1692)
        & ~ c1_1(a1692)
        & ndr1_0 )
      | ~ hskp66 )
    & ( ( c2_1(a1687)
        & ~ c0_1(a1687)
        & ~ c3_1(a1687)
        & ndr1_0 )
      | ~ hskp65 )
    & ( ( c0_1(a1686)
        & ~ c1_1(a1686)
        & ~ c3_1(a1686)
        & ndr1_0 )
      | ~ hskp64 )
    & ( ( c3_1(a1676)
        & c2_1(a1676)
        & ~ c0_1(a1676)
        & ndr1_0 )
      | ~ hskp63 )
    & ( ( c0_1(a1675)
        & c1_1(a1675)
        & ~ c3_1(a1675)
        & ndr1_0 )
      | ~ hskp62 )
    & ( ( c3_1(a1674)
        & ~ c2_1(a1674)
        & ~ c1_1(a1674)
        & ndr1_0 )
      | ~ hskp61 )
    & ( ( c2_1(a1673)
        & c3_1(a1673)
        & ~ c1_1(a1673)
        & ndr1_0 )
      | ~ hskp60 )
    & ( ( c0_1(a1669)
        & ~ c2_1(a1669)
        & c3_1(a1669)
        & ndr1_0 )
      | ~ hskp59 )
    & ( ( c3_1(a1668)
        & ~ c1_1(a1668)
        & ~ c0_1(a1668)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c3_1(a1665)
        & ~ c1_1(a1665)
        & c0_1(a1665)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c1_1(a1662)
        & ~ c2_1(a1662)
        & c0_1(a1662)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c1_1(a1661)
        & ~ c3_1(a1661)
        & ~ c2_1(a1661)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c1_1(a1658)
        & ~ c0_1(a1658)
        & c3_1(a1658)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c0_1(a1656)
        & c2_1(a1656)
        & ~ c3_1(a1656)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c3_1(a1654)
        & c2_1(a1654)
        & c0_1(a1654)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c1_1(a1653)
        & ~ c0_1(a1653)
        & c2_1(a1653)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c0_1(a1652)
        & c2_1(a1652)
        & c3_1(a1652)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c1_1(a1651)
        & ~ c2_1(a1651)
        & c3_1(a1651)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c0_1(a1649)
        & ~ c2_1(a1649)
        & ~ c3_1(a1649)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c3_1(a1644)
        & ~ c0_1(a1644)
        & ~ c1_1(a1644)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c0_1(a1642)
        & ~ c1_1(a1642)
        & ~ c2_1(a1642)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c2_1(a1641)
        & ~ c1_1(a1641)
        & ~ c3_1(a1641)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c1_1(a1640)
        & c2_1(a1640)
        & c3_1(a1640)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a1639)
        & c2_1(a1639)
        & ~ c1_1(a1639)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c0_1(a1638)
        & ~ c3_1(a1638)
        & c1_1(a1638)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( ~ c1_1(a1726)
        & c2_1(a1726)
        & c0_1(a1726)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( ~ c2_1(a1725)
        & c3_1(a1725)
        & c1_1(a1725)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( ~ c0_1(a1721)
        & c3_1(a1721)
        & ~ c1_1(a1721)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( ~ c0_1(a1718)
        & ~ c2_1(a1718)
        & c3_1(a1718)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( ~ c1_1(a1714)
        & c0_1(a1714)
        & c2_1(a1714)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( ~ c1_1(a1712)
        & ~ c0_1(a1712)
        & ~ c2_1(a1712)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( ~ c1_1(a1706)
        & ~ c3_1(a1706)
        & ~ c0_1(a1706)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( ~ c1_1(a1705)
        & ~ c3_1(a1705)
        & c2_1(a1705)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( ~ c2_1(a1704)
        & ~ c0_1(a1704)
        & c3_1(a1704)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( ~ c3_1(a1701)
        & c0_1(a1701)
        & c1_1(a1701)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( ~ c3_1(a1700)
        & ~ c0_1(a1700)
        & c2_1(a1700)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( ~ c0_1(a1698)
        & c3_1(a1698)
        & c1_1(a1698)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( ~ c3_1(a1695)
        & c0_1(a1695)
        & c2_1(a1695)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( ~ c3_1(a1694)
        & c2_1(a1694)
        & ~ c1_1(a1694)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a1693)
        & ~ c3_1(a1693)
        & ~ c0_1(a1693)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1691)
        & ~ c1_1(a1691)
        & ~ c3_1(a1691)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a1690)
        & ~ c0_1(a1690)
        & c2_1(a1690)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a1689)
        & c3_1(a1689)
        & ~ c0_1(a1689)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a1685)
        & c2_1(a1685)
        & ~ c0_1(a1685)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1684)
        & c2_1(a1684)
        & ~ c0_1(a1684)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a1683)
        & c2_1(a1683)
        & c3_1(a1683)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a1682)
        & ~ c1_1(a1682)
        & ~ c2_1(a1682)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1681)
        & ~ c3_1(a1681)
        & ~ c1_1(a1681)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a1680)
        & ~ c1_1(a1680)
        & ~ c3_1(a1680)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a1678)
        & ~ c1_1(a1678)
        & ~ c0_1(a1678)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a1677)
        & ~ c2_1(a1677)
        & ~ c0_1(a1677)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a1672)
        & c1_1(a1672)
        & c3_1(a1672)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1671)
        & ~ c1_1(a1671)
        & c2_1(a1671)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a1667)
        & c3_1(a1667)
        & c0_1(a1667)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a1666)
        & c3_1(a1666)
        & c2_1(a1666)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1664)
        & ~ c2_1(a1664)
        & ~ c3_1(a1664)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a1663)
        & ~ c3_1(a1663)
        & ~ c2_1(a1663)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1660)
        & ~ c0_1(a1660)
        & ~ c3_1(a1660)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a1657)
        & ~ c1_1(a1657)
        & c2_1(a1657)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a1655)
        & c0_1(a1655)
        & c3_1(a1655)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a1650)
        & ~ c2_1(a1650)
        & ~ c1_1(a1650)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a1648)
        & ~ c1_1(a1648)
        & c3_1(a1648)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1647)
        & ~ c0_1(a1647)
        & c1_1(a1647)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1646)
        & ~ c1_1(a1646)
        & c0_1(a1646)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a1645)
        & ~ c0_1(a1645)
        & ~ c1_1(a1645)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1643)
        & c3_1(a1643)
        & ~ c1_1(a1643)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1637)
        & c0_1(a1637)
        & c1_1(a1637)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp30
          | hskp41
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | ~ c1_1(X0)
                | c2_1(X0) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) )
          | hskp40
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c2_1(X2)
                | c1_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | ~ c3_1(X3) ) )
          | hskp75
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | c3_1(X4)
                | ~ c2_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c2_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) )
          | hskp61 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | ~ c0_1(X7) ) )
          | hskp29
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c3_1(X10)
                | c0_1(X10) ) )
          | hskp39 )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) )
          | hskp57
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c2_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c2_1(X15)
                | c1_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c3_1(X16)
                | ~ c0_1(X16) ) )
          | hskp47
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | ~ c1_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp38
          | hskp74 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c3_1(X20)
                | ~ c1_1(X20) ) )
          | hskp73 )
        & ( hskp72
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c0_1(X21)
                | c3_1(X21) ) )
          | hskp37 )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c1_1(X24)
                | c2_1(X24) ) ) )
        & ( hskp71
          | hskp36
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c1_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp0
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c0_1(X29)
                | c1_1(X29) ) )
          | hskp70 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c0_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | hskp69 )
        & ( hskp13
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | hskp68
          | hskp35 )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c3_1(X36)
                | ~ c1_1(X36) ) )
          | hskp34 )
        & ( hskp33
          | hskp61
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c0_1(X37)
                | c2_1(X37) ) ) )
        & ( hskp67
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | ~ c0_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp32
          | hskp31
          | hskp63 )
        & ( hskp30
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c3_1(X40)
                | c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) ) )
        & ( hskp53
          | hskp52
          | hskp29 )
        & ( hskp28
          | hskp27
          | hskp66 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c3_1(X42)
                | ~ c2_1(X42) ) )
          | hskp26
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c3_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c0_1(X45)
                | c1_1(X45) ) )
          | hskp25 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c1_1(X46)
                | ~ c3_1(X46) ) )
          | hskp24
          | hskp61 )
        & ( hskp65
          | hskp64
          | hskp23 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | hskp22
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c0_1(X48)
                | ~ c2_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | ~ c1_1(X49) ) )
          | hskp21
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c0_1(X50)
                | ~ c1_1(X50) ) ) )
        & ( hskp20
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | hskp19 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c2_1(X52)
                | c1_1(X52) ) )
          | hskp18
          | hskp60 )
        & ( hskp17
          | hskp16
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c1_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c1_1(X55) ) )
          | hskp63 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c3_1(X56)
                | c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c3_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) ) )
        & ( hskp62
          | hskp61
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c3_1(X59)
                | ~ c1_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c2_1(X60)
                | c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c1_1(X61)
                | c0_1(X61) ) )
          | hskp60 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c1_1(X64)
                | ~ c2_1(X64) ) ) )
        & ( hskp15
          | hskp14
          | hskp10 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | hskp59
          | hskp58 )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c3_1(X66)
                | ~ c2_1(X66) ) )
          | hskp13
          | hskp12 )
        & ( hskp57
          | hskp11
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( hskp10
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | hskp56 )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c3_1(X69)
                | c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c0_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c1_1(X71)
                | ~ c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c2_1(X72)
                | ~ c0_1(X72) ) )
          | hskp55
          | hskp9 )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c1_1(X74)
                | c3_1(X74) ) )
          | hskp2 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c3_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp54
          | hskp8
          | hskp53 )
        & ( hskp7
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | hskp52 )
        & ( hskp51
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | ~ c1_1(X79) ) )
          | hskp50 )
        & ( hskp49
          | ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c0_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp6
          | hskp48
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c3_1(X82)
                | ~ c0_1(X82) ) ) )
        & ( hskp5
          | hskp4
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c0_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp3
          | hskp2
          | hskp47 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) )
          | hskp1
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c0_1(X85)
                | c2_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp46
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp45
          | hskp44
          | hskp43 )
        & ( hskp42
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | hskp0 )
        & ( ( c3_1(a1724)
            & ~ c2_1(a1724)
            & c0_1(a1724)
            & ndr1_0 )
          | ~ hskp75 )
        & ( ( c2_1(a1717)
            & c0_1(a1717)
            & ~ c3_1(a1717)
            & ndr1_0 )
          | ~ hskp74 )
        & ( ( c0_1(a1716)
            & ~ c3_1(a1716)
            & c2_1(a1716)
            & ndr1_0 )
          | ~ hskp73 )
        & ( ( c3_1(a1715)
            & c1_1(a1715)
            & ~ c2_1(a1715)
            & ndr1_0 )
          | ~ hskp72 )
        & ( ( c0_1(a1713)
            & c3_1(a1713)
            & ~ c2_1(a1713)
            & ndr1_0 )
          | ~ hskp71 )
        & ( ( c1_1(a1710)
            & ~ c3_1(a1710)
            & ~ c0_1(a1710)
            & ndr1_0 )
          | ~ hskp70 )
        & ( ( c3_1(a1709)
            & c0_1(a1709)
            & ~ c1_1(a1709)
            & ndr1_0 )
          | ~ hskp69 )
        & ( ( c0_1(a1707)
            & c3_1(a1707)
            & ~ c1_1(a1707)
            & ndr1_0 )
          | ~ hskp68 )
        & ( ( c3_1(a1702)
            & c2_1(a1702)
            & c1_1(a1702)
            & ndr1_0 )
          | ~ hskp67 )
        & ( ( c0_1(a1692)
            & ~ c2_1(a1692)
            & ~ c1_1(a1692)
            & ndr1_0 )
          | ~ hskp66 )
        & ( ( c2_1(a1687)
            & ~ c0_1(a1687)
            & ~ c3_1(a1687)
            & ndr1_0 )
          | ~ hskp65 )
        & ( ( c0_1(a1686)
            & ~ c1_1(a1686)
            & ~ c3_1(a1686)
            & ndr1_0 )
          | ~ hskp64 )
        & ( ( c3_1(a1676)
            & c2_1(a1676)
            & ~ c0_1(a1676)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c0_1(a1675)
            & c1_1(a1675)
            & ~ c3_1(a1675)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c3_1(a1674)
            & ~ c2_1(a1674)
            & ~ c1_1(a1674)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c2_1(a1673)
            & c3_1(a1673)
            & ~ c1_1(a1673)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c0_1(a1669)
            & ~ c2_1(a1669)
            & c3_1(a1669)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a1668)
            & ~ c1_1(a1668)
            & ~ c0_1(a1668)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a1665)
            & ~ c1_1(a1665)
            & c0_1(a1665)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c1_1(a1662)
            & ~ c2_1(a1662)
            & c0_1(a1662)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c1_1(a1661)
            & ~ c3_1(a1661)
            & ~ c2_1(a1661)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c1_1(a1658)
            & ~ c0_1(a1658)
            & c3_1(a1658)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a1656)
            & c2_1(a1656)
            & ~ c3_1(a1656)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c3_1(a1654)
            & c2_1(a1654)
            & c0_1(a1654)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c1_1(a1653)
            & ~ c0_1(a1653)
            & c2_1(a1653)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c0_1(a1652)
            & c2_1(a1652)
            & c3_1(a1652)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a1651)
            & ~ c2_1(a1651)
            & c3_1(a1651)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c0_1(a1649)
            & ~ c2_1(a1649)
            & ~ c3_1(a1649)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a1644)
            & ~ c0_1(a1644)
            & ~ c1_1(a1644)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c0_1(a1642)
            & ~ c1_1(a1642)
            & ~ c2_1(a1642)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a1641)
            & ~ c1_1(a1641)
            & ~ c3_1(a1641)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c1_1(a1640)
            & c2_1(a1640)
            & c3_1(a1640)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a1639)
            & c2_1(a1639)
            & ~ c1_1(a1639)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a1638)
            & ~ c3_1(a1638)
            & c1_1(a1638)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( ~ c1_1(a1726)
            & c2_1(a1726)
            & c0_1(a1726)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( ~ c2_1(a1725)
            & c3_1(a1725)
            & c1_1(a1725)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( ~ c0_1(a1721)
            & c3_1(a1721)
            & ~ c1_1(a1721)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( ~ c0_1(a1718)
            & ~ c2_1(a1718)
            & c3_1(a1718)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( ~ c1_1(a1714)
            & c0_1(a1714)
            & c2_1(a1714)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( ~ c1_1(a1712)
            & ~ c0_1(a1712)
            & ~ c2_1(a1712)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( ~ c1_1(a1706)
            & ~ c3_1(a1706)
            & ~ c0_1(a1706)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( ~ c1_1(a1705)
            & ~ c3_1(a1705)
            & c2_1(a1705)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( ~ c2_1(a1704)
            & ~ c0_1(a1704)
            & c3_1(a1704)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c3_1(a1701)
            & c0_1(a1701)
            & c1_1(a1701)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c3_1(a1700)
            & ~ c0_1(a1700)
            & c2_1(a1700)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c0_1(a1698)
            & c3_1(a1698)
            & c1_1(a1698)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c3_1(a1695)
            & c0_1(a1695)
            & c2_1(a1695)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c3_1(a1694)
            & c2_1(a1694)
            & ~ c1_1(a1694)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1693)
            & ~ c3_1(a1693)
            & ~ c0_1(a1693)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1691)
            & ~ c1_1(a1691)
            & ~ c3_1(a1691)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a1690)
            & ~ c0_1(a1690)
            & c2_1(a1690)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1689)
            & c3_1(a1689)
            & ~ c0_1(a1689)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a1685)
            & c2_1(a1685)
            & ~ c0_1(a1685)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1684)
            & c2_1(a1684)
            & ~ c0_1(a1684)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1683)
            & c2_1(a1683)
            & c3_1(a1683)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a1682)
            & ~ c1_1(a1682)
            & ~ c2_1(a1682)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1681)
            & ~ c3_1(a1681)
            & ~ c1_1(a1681)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1680)
            & ~ c1_1(a1680)
            & ~ c3_1(a1680)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1678)
            & ~ c1_1(a1678)
            & ~ c0_1(a1678)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1677)
            & ~ c2_1(a1677)
            & ~ c0_1(a1677)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a1672)
            & c1_1(a1672)
            & c3_1(a1672)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1671)
            & ~ c1_1(a1671)
            & c2_1(a1671)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a1667)
            & c3_1(a1667)
            & c0_1(a1667)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a1666)
            & c3_1(a1666)
            & c2_1(a1666)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1664)
            & ~ c2_1(a1664)
            & ~ c3_1(a1664)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a1663)
            & ~ c3_1(a1663)
            & ~ c2_1(a1663)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a1660)
            & ~ c0_1(a1660)
            & ~ c3_1(a1660)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a1657)
            & ~ c1_1(a1657)
            & c2_1(a1657)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1655)
            & c0_1(a1655)
            & c3_1(a1655)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a1650)
            & ~ c2_1(a1650)
            & ~ c1_1(a1650)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1648)
            & ~ c1_1(a1648)
            & c3_1(a1648)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1647)
            & ~ c0_1(a1647)
            & c1_1(a1647)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1646)
            & ~ c1_1(a1646)
            & c0_1(a1646)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1645)
            & ~ c0_1(a1645)
            & ~ c1_1(a1645)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1643)
            & c3_1(a1643)
            & ~ c1_1(a1643)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1637)
            & c0_1(a1637)
            & c1_1(a1637)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp30
          | hskp41
          | ! [X88] :
              ( ndr1_0
             => ( c0_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) )
          | hskp40
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c1_1(X85)
                | ~ c3_1(X85) ) )
          | hskp75
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) )
          | hskp61 )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | ~ c0_1(X81) ) )
          | hskp29
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c3_1(X78)
                | c0_1(X78) ) )
          | hskp39 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | hskp57
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c1_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp47
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | ~ c1_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp38
          | hskp74 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c3_1(X68)
                | ~ c1_1(X68) ) )
          | hskp73 )
        & ( hskp72
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c0_1(X67)
                | c3_1(X67) ) )
          | hskp37 )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c1_1(X64)
                | c2_1(X64) ) ) )
        & ( hskp71
          | hskp36
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) ) )
        & ( hskp0
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c0_1(X59)
                | c1_1(X59) ) )
          | hskp70 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c0_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | ~ c1_1(X57) ) )
          | hskp69 )
        & ( hskp13
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c2_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) )
          | hskp68
          | hskp35 )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c3_1(X52)
                | ~ c1_1(X52) ) )
          | hskp34 )
        & ( hskp33
          | hskp61
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c0_1(X51)
                | c2_1(X51) ) ) )
        & ( hskp67
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c3_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp32
          | hskp31
          | hskp63 )
        & ( hskp30
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c3_1(X48)
                | c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c1_1(X47)
                | ~ c0_1(X47) ) ) )
        & ( hskp53
          | hskp52
          | hskp29 )
        & ( hskp28
          | hskp27
          | hskp66 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c3_1(X46)
                | ~ c2_1(X46) ) )
          | hskp26
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c3_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c0_1(X43)
                | c1_1(X43) ) )
          | hskp25 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c1_1(X42)
                | ~ c3_1(X42) ) )
          | hskp24
          | hskp61 )
        & ( hskp65
          | hskp64
          | hskp23 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | hskp22
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c0_1(X40)
                | ~ c2_1(X40) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | hskp21
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | c0_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( hskp20
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | hskp19 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c2_1(X36)
                | c1_1(X36) ) )
          | hskp18
          | hskp60 )
        & ( hskp17
          | hskp16
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c1_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c0_1(X33)
                | c1_1(X33) ) )
          | hskp63 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c3_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( hskp62
          | hskp61
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c3_1(X29)
                | ~ c1_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c2_1(X28)
                | c3_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) )
          | hskp60 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) ) )
        & ( hskp15
          | hskp14
          | hskp10 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) )
          | hskp59
          | hskp58 )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c3_1(X22)
                | ~ c2_1(X22) ) )
          | hskp13
          | hskp12 )
        & ( hskp57
          | hskp11
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c2_1(X21)
                | ~ c0_1(X21) ) ) )
        & ( hskp10
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | hskp56 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | ~ c3_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c0_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | ~ c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | hskp55
          | hskp9 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | hskp2 )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c3_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp54
          | hskp8
          | hskp53 )
        & ( hskp7
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c0_1(X10)
                | ~ c2_1(X10) ) )
          | hskp52 )
        & ( hskp51
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | ~ c1_1(X9) ) )
          | hskp50 )
        & ( hskp49
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp6
          | hskp48
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c3_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp5
          | hskp4
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c0_1(X5)
                | c1_1(X5) ) ) )
        & ( hskp3
          | hskp2
          | hskp47 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | hskp1
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c0_1(X3)
                | c2_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c0_1(X2)
                | ~ c2_1(X2) ) )
          | hskp46
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | ~ c1_1(X1)
                | c0_1(X1) ) ) )
        & ( hskp45
          | hskp44
          | hskp43 )
        & ( hskp42
          | ! [X0] :
              ( ndr1_0
             => ( c3_1(X0)
                | ~ c0_1(X0)
                | ~ c2_1(X0) ) )
          | hskp0 )
        & ( ( c3_1(a1724)
            & ~ c2_1(a1724)
            & c0_1(a1724)
            & ndr1_0 )
          | ~ hskp75 )
        & ( ( c2_1(a1717)
            & c0_1(a1717)
            & ~ c3_1(a1717)
            & ndr1_0 )
          | ~ hskp74 )
        & ( ( c0_1(a1716)
            & ~ c3_1(a1716)
            & c2_1(a1716)
            & ndr1_0 )
          | ~ hskp73 )
        & ( ( c3_1(a1715)
            & c1_1(a1715)
            & ~ c2_1(a1715)
            & ndr1_0 )
          | ~ hskp72 )
        & ( ( c0_1(a1713)
            & c3_1(a1713)
            & ~ c2_1(a1713)
            & ndr1_0 )
          | ~ hskp71 )
        & ( ( c1_1(a1710)
            & ~ c3_1(a1710)
            & ~ c0_1(a1710)
            & ndr1_0 )
          | ~ hskp70 )
        & ( ( c3_1(a1709)
            & c0_1(a1709)
            & ~ c1_1(a1709)
            & ndr1_0 )
          | ~ hskp69 )
        & ( ( c0_1(a1707)
            & c3_1(a1707)
            & ~ c1_1(a1707)
            & ndr1_0 )
          | ~ hskp68 )
        & ( ( c3_1(a1702)
            & c2_1(a1702)
            & c1_1(a1702)
            & ndr1_0 )
          | ~ hskp67 )
        & ( ( c0_1(a1692)
            & ~ c2_1(a1692)
            & ~ c1_1(a1692)
            & ndr1_0 )
          | ~ hskp66 )
        & ( ( c2_1(a1687)
            & ~ c0_1(a1687)
            & ~ c3_1(a1687)
            & ndr1_0 )
          | ~ hskp65 )
        & ( ( c0_1(a1686)
            & ~ c1_1(a1686)
            & ~ c3_1(a1686)
            & ndr1_0 )
          | ~ hskp64 )
        & ( ( c3_1(a1676)
            & c2_1(a1676)
            & ~ c0_1(a1676)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c0_1(a1675)
            & c1_1(a1675)
            & ~ c3_1(a1675)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c3_1(a1674)
            & ~ c2_1(a1674)
            & ~ c1_1(a1674)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c2_1(a1673)
            & c3_1(a1673)
            & ~ c1_1(a1673)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c0_1(a1669)
            & ~ c2_1(a1669)
            & c3_1(a1669)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a1668)
            & ~ c1_1(a1668)
            & ~ c0_1(a1668)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a1665)
            & ~ c1_1(a1665)
            & c0_1(a1665)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c1_1(a1662)
            & ~ c2_1(a1662)
            & c0_1(a1662)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c1_1(a1661)
            & ~ c3_1(a1661)
            & ~ c2_1(a1661)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c1_1(a1658)
            & ~ c0_1(a1658)
            & c3_1(a1658)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a1656)
            & c2_1(a1656)
            & ~ c3_1(a1656)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c3_1(a1654)
            & c2_1(a1654)
            & c0_1(a1654)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c1_1(a1653)
            & ~ c0_1(a1653)
            & c2_1(a1653)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c0_1(a1652)
            & c2_1(a1652)
            & c3_1(a1652)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a1651)
            & ~ c2_1(a1651)
            & c3_1(a1651)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c0_1(a1649)
            & ~ c2_1(a1649)
            & ~ c3_1(a1649)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a1644)
            & ~ c0_1(a1644)
            & ~ c1_1(a1644)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c0_1(a1642)
            & ~ c1_1(a1642)
            & ~ c2_1(a1642)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a1641)
            & ~ c1_1(a1641)
            & ~ c3_1(a1641)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c1_1(a1640)
            & c2_1(a1640)
            & c3_1(a1640)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a1639)
            & c2_1(a1639)
            & ~ c1_1(a1639)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a1638)
            & ~ c3_1(a1638)
            & c1_1(a1638)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( ~ c1_1(a1726)
            & c2_1(a1726)
            & c0_1(a1726)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( ~ c2_1(a1725)
            & c3_1(a1725)
            & c1_1(a1725)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( ~ c0_1(a1721)
            & c3_1(a1721)
            & ~ c1_1(a1721)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( ~ c0_1(a1718)
            & ~ c2_1(a1718)
            & c3_1(a1718)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( ~ c1_1(a1714)
            & c0_1(a1714)
            & c2_1(a1714)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( ~ c1_1(a1712)
            & ~ c0_1(a1712)
            & ~ c2_1(a1712)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( ~ c1_1(a1706)
            & ~ c3_1(a1706)
            & ~ c0_1(a1706)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( ~ c1_1(a1705)
            & ~ c3_1(a1705)
            & c2_1(a1705)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( ~ c2_1(a1704)
            & ~ c0_1(a1704)
            & c3_1(a1704)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c3_1(a1701)
            & c0_1(a1701)
            & c1_1(a1701)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c3_1(a1700)
            & ~ c0_1(a1700)
            & c2_1(a1700)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c0_1(a1698)
            & c3_1(a1698)
            & c1_1(a1698)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c3_1(a1695)
            & c0_1(a1695)
            & c2_1(a1695)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c3_1(a1694)
            & c2_1(a1694)
            & ~ c1_1(a1694)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1693)
            & ~ c3_1(a1693)
            & ~ c0_1(a1693)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1691)
            & ~ c1_1(a1691)
            & ~ c3_1(a1691)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a1690)
            & ~ c0_1(a1690)
            & c2_1(a1690)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1689)
            & c3_1(a1689)
            & ~ c0_1(a1689)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a1685)
            & c2_1(a1685)
            & ~ c0_1(a1685)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1684)
            & c2_1(a1684)
            & ~ c0_1(a1684)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1683)
            & c2_1(a1683)
            & c3_1(a1683)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a1682)
            & ~ c1_1(a1682)
            & ~ c2_1(a1682)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1681)
            & ~ c3_1(a1681)
            & ~ c1_1(a1681)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1680)
            & ~ c1_1(a1680)
            & ~ c3_1(a1680)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1678)
            & ~ c1_1(a1678)
            & ~ c0_1(a1678)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1677)
            & ~ c2_1(a1677)
            & ~ c0_1(a1677)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a1672)
            & c1_1(a1672)
            & c3_1(a1672)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1671)
            & ~ c1_1(a1671)
            & c2_1(a1671)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a1667)
            & c3_1(a1667)
            & c0_1(a1667)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a1666)
            & c3_1(a1666)
            & c2_1(a1666)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1664)
            & ~ c2_1(a1664)
            & ~ c3_1(a1664)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a1663)
            & ~ c3_1(a1663)
            & ~ c2_1(a1663)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a1660)
            & ~ c0_1(a1660)
            & ~ c3_1(a1660)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a1657)
            & ~ c1_1(a1657)
            & c2_1(a1657)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1655)
            & c0_1(a1655)
            & c3_1(a1655)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a1650)
            & ~ c2_1(a1650)
            & ~ c1_1(a1650)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1648)
            & ~ c1_1(a1648)
            & c3_1(a1648)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1647)
            & ~ c0_1(a1647)
            & c1_1(a1647)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1646)
            & ~ c1_1(a1646)
            & c0_1(a1646)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1645)
            & ~ c0_1(a1645)
            & ~ c1_1(a1645)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1643)
            & c3_1(a1643)
            & ~ c1_1(a1643)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1637)
            & c0_1(a1637)
            & c1_1(a1637)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp30
        | hskp41
        | ! [X88] :
            ( ndr1_0
           => ( c0_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c1_1(X87)
              | ~ c0_1(X87) ) )
        | hskp40
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c1_1(X85)
              | ~ c3_1(X85) ) )
        | hskp75
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c2_1(X82) ) )
        | hskp61 )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c1_1(X81)
              | ~ c0_1(X81) ) )
        | hskp29
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c1_1(X80)
              | c0_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c3_1(X78)
              | c0_1(X78) ) )
        | hskp39 )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) )
        | hskp57
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c1_1(X76)
              | ~ c2_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c0_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp47
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c0_1(X71)
              | ~ c1_1(X71) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp38
        | hskp74 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c3_1(X68)
              | ~ c1_1(X68) ) )
        | hskp73 )
      & ( hskp72
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c0_1(X67)
              | c3_1(X67) ) )
        | hskp37 )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c1_1(X64)
              | c2_1(X64) ) ) )
      & ( hskp71
        | hskp36
        | ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | c2_1(X63) ) ) )
      & ( hskp0
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c0_1(X59)
              | c1_1(X59) ) )
        | hskp70 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c0_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | c2_1(X57)
              | ~ c1_1(X57) ) )
        | hskp69 )
      & ( hskp13
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | c2_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) )
        | hskp68
        | hskp35 )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c3_1(X52)
              | ~ c1_1(X52) ) )
        | hskp34 )
      & ( hskp33
        | hskp61
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c0_1(X51)
              | c2_1(X51) ) ) )
      & ( hskp67
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | ~ c0_1(X50)
              | ~ c3_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c3_1(X49)
              | c1_1(X49) ) ) )
      & ( hskp32
        | hskp31
        | hskp63 )
      & ( hskp30
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c3_1(X48)
              | c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c1_1(X47)
              | ~ c0_1(X47) ) ) )
      & ( hskp53
        | hskp52
        | hskp29 )
      & ( hskp28
        | hskp27
        | hskp66 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c3_1(X46)
              | ~ c2_1(X46) ) )
        | hskp26
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c3_1(X45)
              | ~ c2_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c0_1(X43)
              | c1_1(X43) ) )
        | hskp25 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c1_1(X42)
              | ~ c3_1(X42) ) )
        | hskp24
        | hskp61 )
      & ( hskp65
        | hskp64
        | hskp23 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c0_1(X41)
              | c3_1(X41) ) )
        | hskp22
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c0_1(X40)
              | ~ c2_1(X40) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | hskp21
        | ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | c0_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( hskp20
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | hskp19 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | ~ c2_1(X36)
              | c1_1(X36) ) )
        | hskp18
        | hskp60 )
      & ( hskp17
        | hskp16
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c1_1(X35)
              | ~ c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c0_1(X33)
              | c1_1(X33) ) )
        | hskp63 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | ~ c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | ~ c3_1(X31)
              | ~ c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | ~ c2_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( hskp62
        | hskp61
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c3_1(X29)
              | ~ c1_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c2_1(X28)
              | c3_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) )
        | hskp60 )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c0_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | ~ c2_1(X24) ) ) )
      & ( hskp15
        | hskp14
        | hskp10 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | ~ c0_1(X23)
              | c1_1(X23) ) )
        | hskp59
        | hskp58 )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | ~ c3_1(X22)
              | ~ c2_1(X22) ) )
        | hskp13
        | hskp12 )
      & ( hskp57
        | hskp11
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c2_1(X21)
              | ~ c0_1(X21) ) ) )
      & ( hskp10
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c3_1(X20)
              | c2_1(X20) ) )
        | hskp56 )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | ~ c3_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c0_1(X18)
              | c2_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | ~ c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | hskp55
        | hskp9 )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c3_1(X15)
              | ~ c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | hskp2 )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c3_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | ~ c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) ) )
      & ( hskp54
        | hskp8
        | hskp53 )
      & ( hskp7
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c0_1(X10)
              | ~ c2_1(X10) ) )
        | hskp52 )
      & ( hskp51
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c0_1(X9)
              | ~ c1_1(X9) ) )
        | hskp50 )
      & ( hskp49
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | c0_1(X7)
              | c2_1(X7) ) ) )
      & ( hskp6
        | hskp48
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | ~ c3_1(X6)
              | ~ c0_1(X6) ) ) )
      & ( hskp5
        | hskp4
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c0_1(X5)
              | c1_1(X5) ) ) )
      & ( hskp3
        | hskp2
        | hskp47 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | hskp1
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c0_1(X3)
              | c2_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | c0_1(X2)
              | ~ c2_1(X2) ) )
        | hskp46
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | ~ c1_1(X1)
              | c0_1(X1) ) ) )
      & ( hskp45
        | hskp44
        | hskp43 )
      & ( hskp42
        | ! [X0] :
            ( ndr1_0
           => ( c3_1(X0)
              | ~ c0_1(X0)
              | ~ c2_1(X0) ) )
        | hskp0 )
      & ( ( c3_1(a1724)
          & ~ c2_1(a1724)
          & c0_1(a1724)
          & ndr1_0 )
        | ~ hskp75 )
      & ( ( c2_1(a1717)
          & c0_1(a1717)
          & ~ c3_1(a1717)
          & ndr1_0 )
        | ~ hskp74 )
      & ( ( c0_1(a1716)
          & ~ c3_1(a1716)
          & c2_1(a1716)
          & ndr1_0 )
        | ~ hskp73 )
      & ( ( c3_1(a1715)
          & c1_1(a1715)
          & ~ c2_1(a1715)
          & ndr1_0 )
        | ~ hskp72 )
      & ( ( c0_1(a1713)
          & c3_1(a1713)
          & ~ c2_1(a1713)
          & ndr1_0 )
        | ~ hskp71 )
      & ( ( c1_1(a1710)
          & ~ c3_1(a1710)
          & ~ c0_1(a1710)
          & ndr1_0 )
        | ~ hskp70 )
      & ( ( c3_1(a1709)
          & c0_1(a1709)
          & ~ c1_1(a1709)
          & ndr1_0 )
        | ~ hskp69 )
      & ( ( c0_1(a1707)
          & c3_1(a1707)
          & ~ c1_1(a1707)
          & ndr1_0 )
        | ~ hskp68 )
      & ( ( c3_1(a1702)
          & c2_1(a1702)
          & c1_1(a1702)
          & ndr1_0 )
        | ~ hskp67 )
      & ( ( c0_1(a1692)
          & ~ c2_1(a1692)
          & ~ c1_1(a1692)
          & ndr1_0 )
        | ~ hskp66 )
      & ( ( c2_1(a1687)
          & ~ c0_1(a1687)
          & ~ c3_1(a1687)
          & ndr1_0 )
        | ~ hskp65 )
      & ( ( c0_1(a1686)
          & ~ c1_1(a1686)
          & ~ c3_1(a1686)
          & ndr1_0 )
        | ~ hskp64 )
      & ( ( c3_1(a1676)
          & c2_1(a1676)
          & ~ c0_1(a1676)
          & ndr1_0 )
        | ~ hskp63 )
      & ( ( c0_1(a1675)
          & c1_1(a1675)
          & ~ c3_1(a1675)
          & ndr1_0 )
        | ~ hskp62 )
      & ( ( c3_1(a1674)
          & ~ c2_1(a1674)
          & ~ c1_1(a1674)
          & ndr1_0 )
        | ~ hskp61 )
      & ( ( c2_1(a1673)
          & c3_1(a1673)
          & ~ c1_1(a1673)
          & ndr1_0 )
        | ~ hskp60 )
      & ( ( c0_1(a1669)
          & ~ c2_1(a1669)
          & c3_1(a1669)
          & ndr1_0 )
        | ~ hskp59 )
      & ( ( c3_1(a1668)
          & ~ c1_1(a1668)
          & ~ c0_1(a1668)
          & ndr1_0 )
        | ~ hskp58 )
      & ( ( c3_1(a1665)
          & ~ c1_1(a1665)
          & c0_1(a1665)
          & ndr1_0 )
        | ~ hskp57 )
      & ( ( c1_1(a1662)
          & ~ c2_1(a1662)
          & c0_1(a1662)
          & ndr1_0 )
        | ~ hskp56 )
      & ( ( c1_1(a1661)
          & ~ c3_1(a1661)
          & ~ c2_1(a1661)
          & ndr1_0 )
        | ~ hskp55 )
      & ( ( c1_1(a1658)
          & ~ c0_1(a1658)
          & c3_1(a1658)
          & ndr1_0 )
        | ~ hskp54 )
      & ( ( c0_1(a1656)
          & c2_1(a1656)
          & ~ c3_1(a1656)
          & ndr1_0 )
        | ~ hskp53 )
      & ( ( c3_1(a1654)
          & c2_1(a1654)
          & c0_1(a1654)
          & ndr1_0 )
        | ~ hskp52 )
      & ( ( c1_1(a1653)
          & ~ c0_1(a1653)
          & c2_1(a1653)
          & ndr1_0 )
        | ~ hskp51 )
      & ( ( c0_1(a1652)
          & c2_1(a1652)
          & c3_1(a1652)
          & ndr1_0 )
        | ~ hskp50 )
      & ( ( c1_1(a1651)
          & ~ c2_1(a1651)
          & c3_1(a1651)
          & ndr1_0 )
        | ~ hskp49 )
      & ( ( c0_1(a1649)
          & ~ c2_1(a1649)
          & ~ c3_1(a1649)
          & ndr1_0 )
        | ~ hskp48 )
      & ( ( c3_1(a1644)
          & ~ c0_1(a1644)
          & ~ c1_1(a1644)
          & ndr1_0 )
        | ~ hskp47 )
      & ( ( c0_1(a1642)
          & ~ c1_1(a1642)
          & ~ c2_1(a1642)
          & ndr1_0 )
        | ~ hskp46 )
      & ( ( c2_1(a1641)
          & ~ c1_1(a1641)
          & ~ c3_1(a1641)
          & ndr1_0 )
        | ~ hskp45 )
      & ( ( c1_1(a1640)
          & c2_1(a1640)
          & c3_1(a1640)
          & ndr1_0 )
        | ~ hskp44 )
      & ( ( c0_1(a1639)
          & c2_1(a1639)
          & ~ c1_1(a1639)
          & ndr1_0 )
        | ~ hskp43 )
      & ( ( c0_1(a1638)
          & ~ c3_1(a1638)
          & c1_1(a1638)
          & ndr1_0 )
        | ~ hskp42 )
      & ( ( ~ c1_1(a1726)
          & c2_1(a1726)
          & c0_1(a1726)
          & ndr1_0 )
        | ~ hskp41 )
      & ( ( ~ c2_1(a1725)
          & c3_1(a1725)
          & c1_1(a1725)
          & ndr1_0 )
        | ~ hskp40 )
      & ( ( ~ c0_1(a1721)
          & c3_1(a1721)
          & ~ c1_1(a1721)
          & ndr1_0 )
        | ~ hskp39 )
      & ( ( ~ c0_1(a1718)
          & ~ c2_1(a1718)
          & c3_1(a1718)
          & ndr1_0 )
        | ~ hskp38 )
      & ( ( ~ c1_1(a1714)
          & c0_1(a1714)
          & c2_1(a1714)
          & ndr1_0 )
        | ~ hskp37 )
      & ( ( ~ c1_1(a1712)
          & ~ c0_1(a1712)
          & ~ c2_1(a1712)
          & ndr1_0 )
        | ~ hskp36 )
      & ( ( ~ c1_1(a1706)
          & ~ c3_1(a1706)
          & ~ c0_1(a1706)
          & ndr1_0 )
        | ~ hskp35 )
      & ( ( ~ c1_1(a1705)
          & ~ c3_1(a1705)
          & c2_1(a1705)
          & ndr1_0 )
        | ~ hskp34 )
      & ( ( ~ c2_1(a1704)
          & ~ c0_1(a1704)
          & c3_1(a1704)
          & ndr1_0 )
        | ~ hskp33 )
      & ( ( ~ c3_1(a1701)
          & c0_1(a1701)
          & c1_1(a1701)
          & ndr1_0 )
        | ~ hskp32 )
      & ( ( ~ c3_1(a1700)
          & ~ c0_1(a1700)
          & c2_1(a1700)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( ~ c0_1(a1698)
          & c3_1(a1698)
          & c1_1(a1698)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( ~ c3_1(a1695)
          & c0_1(a1695)
          & c2_1(a1695)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( ~ c3_1(a1694)
          & c2_1(a1694)
          & ~ c1_1(a1694)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a1693)
          & ~ c3_1(a1693)
          & ~ c0_1(a1693)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a1691)
          & ~ c1_1(a1691)
          & ~ c3_1(a1691)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a1690)
          & ~ c0_1(a1690)
          & c2_1(a1690)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a1689)
          & c3_1(a1689)
          & ~ c0_1(a1689)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a1685)
          & c2_1(a1685)
          & ~ c0_1(a1685)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1684)
          & c2_1(a1684)
          & ~ c0_1(a1684)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1683)
          & c2_1(a1683)
          & c3_1(a1683)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a1682)
          & ~ c1_1(a1682)
          & ~ c2_1(a1682)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a1681)
          & ~ c3_1(a1681)
          & ~ c1_1(a1681)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a1680)
          & ~ c1_1(a1680)
          & ~ c3_1(a1680)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a1678)
          & ~ c1_1(a1678)
          & ~ c0_1(a1678)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a1677)
          & ~ c2_1(a1677)
          & ~ c0_1(a1677)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a1672)
          & c1_1(a1672)
          & c3_1(a1672)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1671)
          & ~ c1_1(a1671)
          & c2_1(a1671)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a1667)
          & c3_1(a1667)
          & c0_1(a1667)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a1666)
          & c3_1(a1666)
          & c2_1(a1666)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1664)
          & ~ c2_1(a1664)
          & ~ c3_1(a1664)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a1663)
          & ~ c3_1(a1663)
          & ~ c2_1(a1663)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a1660)
          & ~ c0_1(a1660)
          & ~ c3_1(a1660)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a1657)
          & ~ c1_1(a1657)
          & c2_1(a1657)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a1655)
          & c0_1(a1655)
          & c3_1(a1655)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a1650)
          & ~ c2_1(a1650)
          & ~ c1_1(a1650)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a1648)
          & ~ c1_1(a1648)
          & c3_1(a1648)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a1647)
          & ~ c0_1(a1647)
          & c1_1(a1647)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1646)
          & ~ c1_1(a1646)
          & c0_1(a1646)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a1645)
          & ~ c0_1(a1645)
          & ~ c1_1(a1645)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a1643)
          & c3_1(a1643)
          & ~ c1_1(a1643)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1637)
          & c0_1(a1637)
          & c1_1(a1637)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2069,plain,
    ( ~ spl0_39
    | spl0_334 ),
    inference(avatar_split_clause,[],[f9,f2066,f548]) ).

fof(f9,plain,
    ( c0_1(a1637)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2064,plain,
    ( ~ spl0_39
    | ~ spl0_333 ),
    inference(avatar_split_clause,[],[f10,f2061,f548]) ).

fof(f10,plain,
    ( ~ c2_1(a1637)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2058,plain,
    ( ~ spl0_102
    | ~ spl0_332 ),
    inference(avatar_split_clause,[],[f12,f2055,f833]) ).

fof(f833,plain,
    ( spl0_102
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f12,plain,
    ( ~ c1_1(a1643)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2053,plain,
    ( ~ spl0_102
    | spl0_331 ),
    inference(avatar_split_clause,[],[f13,f2050,f833]) ).

fof(f13,plain,
    ( c3_1(a1643)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2048,plain,
    ( ~ spl0_102
    | ~ spl0_330 ),
    inference(avatar_split_clause,[],[f14,f2045,f833]) ).

fof(f14,plain,
    ( ~ c2_1(a1643)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2043,plain,
    ( ~ spl0_90
    | spl0_1 ),
    inference(avatar_split_clause,[],[f15,f403,f776]) ).

fof(f776,plain,
    ( spl0_90
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f403,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2042,plain,
    ( ~ spl0_90
    | ~ spl0_329 ),
    inference(avatar_split_clause,[],[f16,f2039,f776]) ).

fof(f16,plain,
    ( ~ c1_1(a1645)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2037,plain,
    ( ~ spl0_90
    | ~ spl0_328 ),
    inference(avatar_split_clause,[],[f17,f2034,f776]) ).

fof(f17,plain,
    ( ~ c0_1(a1645)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2027,plain,
    ( ~ spl0_101
    | spl0_1 ),
    inference(avatar_split_clause,[],[f19,f403,f828]) ).

fof(f828,plain,
    ( spl0_101
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2026,plain,
    ( ~ spl0_101
    | spl0_326 ),
    inference(avatar_split_clause,[],[f20,f2023,f828]) ).

fof(f20,plain,
    ( c0_1(a1646)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2021,plain,
    ( ~ spl0_101
    | ~ spl0_325 ),
    inference(avatar_split_clause,[],[f21,f2018,f828]) ).

fof(f21,plain,
    ( ~ c1_1(a1646)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2016,plain,
    ( ~ spl0_101
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f22,f2013,f828]) ).

fof(f22,plain,
    ( ~ c2_1(a1646)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1978,plain,
    ( ~ spl0_98
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f32,f1975,f814]) ).

fof(f814,plain,
    ( spl0_98
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f32,plain,
    ( ~ c1_1(a1650)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1973,plain,
    ( ~ spl0_98
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f33,f1970,f814]) ).

fof(f33,plain,
    ( ~ c2_1(a1650)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1968,plain,
    ( ~ spl0_98
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f34,f1965,f814]) ).

fof(f34,plain,
    ( ~ c3_1(a1650)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1962,plain,
    ( ~ spl0_93
    | spl0_314 ),
    inference(avatar_split_clause,[],[f36,f1959,f791]) ).

fof(f791,plain,
    ( spl0_93
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f36,plain,
    ( c3_1(a1655)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1957,plain,
    ( ~ spl0_93
    | spl0_313 ),
    inference(avatar_split_clause,[],[f37,f1954,f791]) ).

fof(f37,plain,
    ( c0_1(a1655)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1952,plain,
    ( ~ spl0_93
    | ~ spl0_312 ),
    inference(avatar_split_clause,[],[f38,f1949,f791]) ).

fof(f38,plain,
    ( ~ c2_1(a1655)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1930,plain,
    ( ~ spl0_88
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f44,f1927,f767]) ).

fof(f767,plain,
    ( spl0_88
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f44,plain,
    ( ~ c3_1(a1660)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1925,plain,
    ( ~ spl0_88
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f45,f1922,f767]) ).

fof(f45,plain,
    ( ~ c0_1(a1660)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1920,plain,
    ( ~ spl0_88
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f46,f1917,f767]) ).

fof(f46,plain,
    ( ~ c1_1(a1660)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1898,plain,
    ( ~ spl0_85
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f52,f1895,f753]) ).

fof(f753,plain,
    ( spl0_85
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f52,plain,
    ( ~ c3_1(a1664)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1893,plain,
    ( ~ spl0_85
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f53,f1890,f753]) ).

fof(f53,plain,
    ( ~ c2_1(a1664)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1888,plain,
    ( ~ spl0_85
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f54,f1885,f753]) ).

fof(f54,plain,
    ( ~ c1_1(a1664)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1866,plain,
    ( ~ spl0_44
    | spl0_296 ),
    inference(avatar_split_clause,[],[f60,f1863,f569]) ).

fof(f569,plain,
    ( spl0_44
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f60,plain,
    ( c0_1(a1667)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1861,plain,
    ( ~ spl0_44
    | spl0_295 ),
    inference(avatar_split_clause,[],[f61,f1858,f569]) ).

fof(f61,plain,
    ( c3_1(a1667)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1856,plain,
    ( ~ spl0_44
    | ~ spl0_294 ),
    inference(avatar_split_clause,[],[f62,f1853,f569]) ).

fof(f62,plain,
    ( ~ c1_1(a1667)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1818,plain,
    ( ~ spl0_74
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f72,f1815,f702]) ).

fof(f702,plain,
    ( spl0_74
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f72,plain,
    ( ~ c0_1(a1677)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1813,plain,
    ( ~ spl0_74
    | ~ spl0_286 ),
    inference(avatar_split_clause,[],[f73,f1810,f702]) ).

fof(f73,plain,
    ( ~ c2_1(a1677)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1808,plain,
    ( ~ spl0_74
    | ~ spl0_285 ),
    inference(avatar_split_clause,[],[f74,f1805,f702]) ).

fof(f74,plain,
    ( ~ c1_1(a1677)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1802,plain,
    ( ~ spl0_75
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f76,f1799,f706]) ).

fof(f706,plain,
    ( spl0_75
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f76,plain,
    ( ~ c0_1(a1678)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1797,plain,
    ( ~ spl0_75
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f77,f1794,f706]) ).

fof(f77,plain,
    ( ~ c1_1(a1678)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1792,plain,
    ( ~ spl0_75
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f78,f1789,f706]) ).

fof(f78,plain,
    ( ~ c2_1(a1678)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1770,plain,
    ( ~ spl0_69
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f84,f1767,f681]) ).

fof(f681,plain,
    ( spl0_69
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f84,plain,
    ( ~ c1_1(a1681)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1765,plain,
    ( ~ spl0_69
    | ~ spl0_277 ),
    inference(avatar_split_clause,[],[f85,f1762,f681]) ).

fof(f85,plain,
    ( ~ c3_1(a1681)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1760,plain,
    ( ~ spl0_69
    | ~ spl0_276 ),
    inference(avatar_split_clause,[],[f86,f1757,f681]) ).

fof(f86,plain,
    ( ~ c2_1(a1681)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1754,plain,
    ( ~ spl0_71
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f88,f1751,f688]) ).

fof(f688,plain,
    ( spl0_71
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f88,plain,
    ( ~ c2_1(a1682)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1749,plain,
    ( ~ spl0_71
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f89,f1746,f688]) ).

fof(f89,plain,
    ( ~ c1_1(a1682)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1744,plain,
    ( ~ spl0_71
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f90,f1741,f688]) ).

fof(f90,plain,
    ( ~ c3_1(a1682)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1701,plain,
    ( ~ spl0_63
    | spl0_265 ),
    inference(avatar_split_clause,[],[f101,f1698,f655]) ).

fof(f655,plain,
    ( spl0_63
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f101,plain,
    ( c2_1(a1685)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1696,plain,
    ( ~ spl0_63
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f102,f1693,f655]) ).

fof(f102,plain,
    ( ~ c1_1(a1685)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1690,plain,
    ( ~ spl0_62
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f104,f1687,f650]) ).

fof(f650,plain,
    ( spl0_62
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f104,plain,
    ( ~ c0_1(a1689)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1680,plain,
    ( ~ spl0_62
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f106,f1677,f650]) ).

fof(f106,plain,
    ( ~ c1_1(a1689)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1674,plain,
    ( ~ spl0_60
    | spl0_260 ),
    inference(avatar_split_clause,[],[f108,f1671,f642]) ).

fof(f642,plain,
    ( spl0_60
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f108,plain,
    ( c2_1(a1690)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1664,plain,
    ( ~ spl0_60
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f110,f1661,f642]) ).

fof(f110,plain,
    ( ~ c1_1(a1690)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1658,plain,
    ( ~ spl0_59
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f112,f1655,f637]) ).

fof(f637,plain,
    ( spl0_59
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f112,plain,
    ( ~ c3_1(a1691)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1653,plain,
    ( ~ spl0_59
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f113,f1650,f637]) ).

fof(f113,plain,
    ( ~ c1_1(a1691)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1648,plain,
    ( ~ spl0_59
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f114,f1645,f637]) ).

fof(f114,plain,
    ( ~ c2_1(a1691)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1642,plain,
    ( ~ spl0_57
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f116,f1639,f628]) ).

fof(f628,plain,
    ( spl0_57
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f116,plain,
    ( ~ c0_1(a1693)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1637,plain,
    ( ~ spl0_57
    | ~ spl0_253 ),
    inference(avatar_split_clause,[],[f117,f1634,f628]) ).

fof(f117,plain,
    ( ~ c3_1(a1693)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1632,plain,
    ( ~ spl0_57
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f118,f1629,f628]) ).

fof(f118,plain,
    ( ~ c2_1(a1693)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1626,plain,
    ( ~ spl0_58
    | ~ spl0_251 ),
    inference(avatar_split_clause,[],[f120,f1623,f632]) ).

fof(f632,plain,
    ( spl0_58
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f120,plain,
    ( ~ c1_1(a1694)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1621,plain,
    ( ~ spl0_58
    | spl0_250 ),
    inference(avatar_split_clause,[],[f121,f1618,f632]) ).

fof(f121,plain,
    ( c2_1(a1694)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1616,plain,
    ( ~ spl0_58
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f122,f1613,f632]) ).

fof(f122,plain,
    ( ~ c3_1(a1694)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1610,plain,
    ( ~ spl0_15
    | spl0_248 ),
    inference(avatar_split_clause,[],[f124,f1607,f455]) ).

fof(f455,plain,
    ( spl0_15
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f124,plain,
    ( c2_1(a1695)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1605,plain,
    ( ~ spl0_15
    | spl0_247 ),
    inference(avatar_split_clause,[],[f125,f1602,f455]) ).

fof(f125,plain,
    ( c0_1(a1695)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1600,plain,
    ( ~ spl0_15
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f126,f1597,f455]) ).

fof(f126,plain,
    ( ~ c3_1(a1695)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1594,plain,
    ( ~ spl0_4
    | spl0_245 ),
    inference(avatar_split_clause,[],[f128,f1591,f414]) ).

fof(f414,plain,
    ( spl0_4
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f128,plain,
    ( c1_1(a1698)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1589,plain,
    ( ~ spl0_4
    | spl0_244 ),
    inference(avatar_split_clause,[],[f129,f1586,f414]) ).

fof(f129,plain,
    ( c3_1(a1698)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1584,plain,
    ( ~ spl0_4
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f130,f1581,f414]) ).

fof(f130,plain,
    ( ~ c0_1(a1698)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1498,plain,
    ( ~ spl0_35
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f152,f1495,f533]) ).

fof(f533,plain,
    ( spl0_35
  <=> hskp36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f152,plain,
    ( ~ c2_1(a1712)
    | ~ hskp36 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1493,plain,
    ( ~ spl0_35
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f153,f1490,f533]) ).

fof(f153,plain,
    ( ~ c0_1(a1712)
    | ~ hskp36 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1488,plain,
    ( ~ spl0_35
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f154,f1485,f533]) ).

fof(f154,plain,
    ( ~ c1_1(a1712)
    | ~ hskp36 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1482,plain,
    ( ~ spl0_29
    | spl0_224 ),
    inference(avatar_split_clause,[],[f156,f1479,f511]) ).

fof(f511,plain,
    ( spl0_29
  <=> hskp37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f156,plain,
    ( c2_1(a1714)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1477,plain,
    ( ~ spl0_29
    | spl0_223 ),
    inference(avatar_split_clause,[],[f157,f1474,f511]) ).

fof(f157,plain,
    ( c0_1(a1714)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1472,plain,
    ( ~ spl0_29
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f158,f1469,f511]) ).

fof(f158,plain,
    ( ~ c1_1(a1714)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1466,plain,
    ( ~ spl0_24
    | spl0_221 ),
    inference(avatar_split_clause,[],[f160,f1463,f492]) ).

fof(f492,plain,
    ( spl0_24
  <=> hskp38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f160,plain,
    ( c3_1(a1718)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1461,plain,
    ( ~ spl0_24
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f161,f1458,f492]) ).

fof(f161,plain,
    ( ~ c2_1(a1718)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1456,plain,
    ( ~ spl0_24
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f162,f1453,f492]) ).

fof(f162,plain,
    ( ~ c0_1(a1718)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1434,plain,
    ( ~ spl0_6
    | spl0_215 ),
    inference(avatar_split_clause,[],[f168,f1431,f422]) ).

fof(f422,plain,
    ( spl0_6
  <=> hskp40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f168,plain,
    ( c1_1(a1725)
    | ~ hskp40 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1429,plain,
    ( ~ spl0_6
    | spl0_214 ),
    inference(avatar_split_clause,[],[f169,f1426,f422]) ).

fof(f169,plain,
    ( c3_1(a1725)
    | ~ hskp40 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1424,plain,
    ( ~ spl0_6
    | ~ spl0_213 ),
    inference(avatar_split_clause,[],[f170,f1421,f422]) ).

fof(f170,plain,
    ( ~ c2_1(a1725)
    | ~ hskp40 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1402,plain,
    ( ~ spl0_107
    | spl0_209 ),
    inference(avatar_split_clause,[],[f176,f1399,f856]) ).

fof(f856,plain,
    ( spl0_107
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f176,plain,
    ( c1_1(a1638)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1392,plain,
    ( ~ spl0_107
    | spl0_207 ),
    inference(avatar_split_clause,[],[f178,f1389,f856]) ).

fof(f178,plain,
    ( c0_1(a1638)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1323,plain,
    ( ~ spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f195,f403,f483]) ).

fof(f483,plain,
    ( spl0_22
  <=> hskp47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f195,plain,
    ( ndr1_0
    | ~ hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1322,plain,
    ( ~ spl0_22
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f196,f1319,f483]) ).

fof(f196,plain,
    ( ~ c1_1(a1644)
    | ~ hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1317,plain,
    ( ~ spl0_22
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f197,f1314,f483]) ).

fof(f197,plain,
    ( ~ c0_1(a1644)
    | ~ hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1312,plain,
    ( ~ spl0_22
    | spl0_192 ),
    inference(avatar_split_clause,[],[f198,f1309,f483]) ).

fof(f198,plain,
    ( c3_1(a1644)
    | ~ hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1306,plain,
    ( ~ spl0_97
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f200,f1303,f810]) ).

fof(f810,plain,
    ( spl0_97
  <=> hskp48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f200,plain,
    ( ~ c3_1(a1649)
    | ~ hskp48 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1301,plain,
    ( ~ spl0_97
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f201,f1298,f810]) ).

fof(f201,plain,
    ( ~ c2_1(a1649)
    | ~ hskp48 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1296,plain,
    ( ~ spl0_97
    | spl0_189 ),
    inference(avatar_split_clause,[],[f202,f1293,f810]) ).

fof(f202,plain,
    ( c0_1(a1649)
    | ~ hskp48 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1290,plain,
    ( ~ spl0_96
    | spl0_188 ),
    inference(avatar_split_clause,[],[f204,f1287,f805]) ).

fof(f805,plain,
    ( spl0_96
  <=> hskp49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f204,plain,
    ( c3_1(a1651)
    | ~ hskp49 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1285,plain,
    ( ~ spl0_96
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f205,f1282,f805]) ).

fof(f205,plain,
    ( ~ c2_1(a1651)
    | ~ hskp49 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1280,plain,
    ( ~ spl0_96
    | spl0_186 ),
    inference(avatar_split_clause,[],[f206,f1277,f805]) ).

fof(f206,plain,
    ( c1_1(a1651)
    | ~ hskp49 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1242,plain,
    ( ~ spl0_54
    | spl0_179 ),
    inference(avatar_split_clause,[],[f216,f1239,f615]) ).

fof(f615,plain,
    ( spl0_54
  <=> hskp52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f216,plain,
    ( c0_1(a1654)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1237,plain,
    ( ~ spl0_54
    | spl0_178 ),
    inference(avatar_split_clause,[],[f217,f1234,f615]) ).

fof(f217,plain,
    ( c2_1(a1654)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1232,plain,
    ( ~ spl0_54
    | spl0_177 ),
    inference(avatar_split_clause,[],[f218,f1229,f615]) ).

fof(f218,plain,
    ( c3_1(a1654)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1226,plain,
    ( ~ spl0_55
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f220,f1223,f619]) ).

fof(f619,plain,
    ( spl0_55
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f220,plain,
    ( ~ c3_1(a1656)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1221,plain,
    ( ~ spl0_55
    | spl0_175 ),
    inference(avatar_split_clause,[],[f221,f1218,f619]) ).

fof(f221,plain,
    ( c2_1(a1656)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1216,plain,
    ( ~ spl0_55
    | spl0_174 ),
    inference(avatar_split_clause,[],[f222,f1213,f619]) ).

fof(f222,plain,
    ( c0_1(a1656)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1194,plain,
    ( ~ spl0_89
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f228,f1191,f771]) ).

fof(f771,plain,
    ( spl0_89
  <=> hskp55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f228,plain,
    ( ~ c2_1(a1661)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1189,plain,
    ( ~ spl0_89
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f229,f1186,f771]) ).

fof(f229,plain,
    ( ~ c3_1(a1661)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1184,plain,
    ( ~ spl0_89
    | spl0_168 ),
    inference(avatar_split_clause,[],[f230,f1181,f771]) ).

fof(f230,plain,
    ( c1_1(a1661)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1162,plain,
    ( ~ spl0_20
    | spl0_164 ),
    inference(avatar_split_clause,[],[f236,f1159,f474]) ).

fof(f474,plain,
    ( spl0_20
  <=> hskp57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f236,plain,
    ( c0_1(a1665)
    | ~ hskp57 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1157,plain,
    ( ~ spl0_20
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f237,f1154,f474]) ).

fof(f237,plain,
    ( ~ c1_1(a1665)
    | ~ hskp57 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1152,plain,
    ( ~ spl0_20
    | spl0_162 ),
    inference(avatar_split_clause,[],[f238,f1149,f474]) ).

fof(f238,plain,
    ( c3_1(a1665)
    | ~ hskp57 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1146,plain,
    ( ~ spl0_82
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f240,f1143,f739]) ).

fof(f739,plain,
    ( spl0_82
  <=> hskp58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f240,plain,
    ( ~ c0_1(a1668)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1141,plain,
    ( ~ spl0_82
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f241,f1138,f739]) ).

fof(f241,plain,
    ( ~ c1_1(a1668)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1136,plain,
    ( ~ spl0_82
    | spl0_159 ),
    inference(avatar_split_clause,[],[f242,f1133,f739]) ).

fof(f242,plain,
    ( c3_1(a1668)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1130,plain,
    ( ~ spl0_83
    | spl0_158 ),
    inference(avatar_split_clause,[],[f244,f1127,f743]) ).

fof(f743,plain,
    ( spl0_83
  <=> hskp59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f244,plain,
    ( c3_1(a1669)
    | ~ hskp59 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1125,plain,
    ( ~ spl0_83
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f245,f1122,f743]) ).

fof(f245,plain,
    ( ~ c2_1(a1669)
    | ~ hskp59 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1114,plain,
    ( ~ spl0_72
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f248,f1111,f693]) ).

fof(f693,plain,
    ( spl0_72
  <=> hskp60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f248,plain,
    ( ~ c1_1(a1673)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1109,plain,
    ( ~ spl0_72
    | spl0_154 ),
    inference(avatar_split_clause,[],[f249,f1106,f693]) ).

fof(f249,plain,
    ( c3_1(a1673)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1104,plain,
    ( ~ spl0_72
    | spl0_153 ),
    inference(avatar_split_clause,[],[f250,f1101,f693]) ).

fof(f250,plain,
    ( c2_1(a1673)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1098,plain,
    ( ~ spl0_11
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f252,f1095,f441]) ).

fof(f441,plain,
    ( spl0_11
  <=> hskp61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f252,plain,
    ( ~ c1_1(a1674)
    | ~ hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1093,plain,
    ( ~ spl0_11
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f253,f1090,f441]) ).

fof(f253,plain,
    ( ~ c2_1(a1674)
    | ~ hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1088,plain,
    ( ~ spl0_11
    | spl0_150 ),
    inference(avatar_split_clause,[],[f254,f1085,f441]) ).

fof(f254,plain,
    ( c3_1(a1674)
    | ~ hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1082,plain,
    ( ~ spl0_77
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f256,f1079,f716]) ).

fof(f716,plain,
    ( spl0_77
  <=> hskp62 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f256,plain,
    ( ~ c3_1(a1675)
    | ~ hskp62 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1072,plain,
    ( ~ spl0_77
    | spl0_147 ),
    inference(avatar_split_clause,[],[f258,f1069,f716]) ).

fof(f258,plain,
    ( c0_1(a1675)
    | ~ hskp62 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1050,plain,
    ( ~ spl0_64
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f264,f1047,f659]) ).

fof(f659,plain,
    ( spl0_64
  <=> hskp64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f264,plain,
    ( ~ c3_1(a1686)
    | ~ hskp64 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1045,plain,
    ( ~ spl0_64
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f265,f1042,f659]) ).

fof(f265,plain,
    ( ~ c1_1(a1686)
    | ~ hskp64 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1034,plain,
    ( ~ spl0_65
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f268,f1031,f663]) ).

fof(f663,plain,
    ( spl0_65
  <=> hskp65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f268,plain,
    ( ~ c3_1(a1687)
    | ~ hskp65 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1024,plain,
    ( ~ spl0_65
    | spl0_138 ),
    inference(avatar_split_clause,[],[f270,f1021,f663]) ).

fof(f270,plain,
    ( c2_1(a1687)
    | ~ hskp65 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1018,plain,
    ( ~ spl0_56
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f272,f1015,f624]) ).

fof(f624,plain,
    ( spl0_56
  <=> hskp66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f272,plain,
    ( ~ c1_1(a1692)
    | ~ hskp66 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_56
    | spl0_135 ),
    inference(avatar_split_clause,[],[f274,f1005,f624]) ).

fof(f274,plain,
    ( c0_1(a1692)
    | ~ hskp66 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( ~ spl0_50
    | spl0_134 ),
    inference(avatar_split_clause,[],[f276,f999,f596]) ).

fof(f596,plain,
    ( spl0_50
  <=> hskp67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f276,plain,
    ( c1_1(a1702)
    | ~ hskp67 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f997,plain,
    ( ~ spl0_50
    | spl0_133 ),
    inference(avatar_split_clause,[],[f277,f994,f596]) ).

fof(f277,plain,
    ( c2_1(a1702)
    | ~ hskp67 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( ~ spl0_50
    | spl0_132 ),
    inference(avatar_split_clause,[],[f278,f989,f596]) ).

fof(f278,plain,
    ( c3_1(a1702)
    | ~ hskp67 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_36
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f292,f935,f537]) ).

fof(f537,plain,
    ( spl0_36
  <=> hskp71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f292,plain,
    ( ~ c2_1(a1713)
    | ~ hskp71 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_36
    | spl0_121 ),
    inference(avatar_split_clause,[],[f293,f930,f537]) ).

fof(f293,plain,
    ( c3_1(a1713)
    | ~ hskp71 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_36
    | spl0_120 ),
    inference(avatar_split_clause,[],[f294,f925,f537]) ).

fof(f294,plain,
    ( c0_1(a1713)
    | ~ hskp71 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_31
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f296,f919,f518]) ).

fof(f518,plain,
    ( spl0_31
  <=> hskp72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f296,plain,
    ( ~ c2_1(a1715)
    | ~ hskp72 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_31
    | spl0_118 ),
    inference(avatar_split_clause,[],[f297,f914,f518]) ).

fof(f297,plain,
    ( c1_1(a1715)
    | ~ hskp72 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_31
    | spl0_117 ),
    inference(avatar_split_clause,[],[f298,f909,f518]) ).

fof(f298,plain,
    ( c3_1(a1715)
    | ~ hskp72 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_26
    | spl0_116 ),
    inference(avatar_split_clause,[],[f300,f903,f500]) ).

fof(f500,plain,
    ( spl0_26
  <=> hskp73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f300,plain,
    ( c2_1(a1716)
    | ~ hskp73 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_26
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f301,f898,f500]) ).

fof(f301,plain,
    ( ~ c3_1(a1716)
    | ~ hskp73 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_26
    | spl0_114 ),
    inference(avatar_split_clause,[],[f302,f893,f500]) ).

fof(f302,plain,
    ( c0_1(a1716)
    | ~ hskp73 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_23
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f304,f887,f488]) ).

fof(f488,plain,
    ( spl0_23
  <=> hskp74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f304,plain,
    ( ~ c3_1(a1717)
    | ~ hskp74 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_23
    | spl0_112 ),
    inference(avatar_split_clause,[],[f305,f882,f488]) ).

fof(f305,plain,
    ( c0_1(a1717)
    | ~ hskp74 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_23
    | spl0_111 ),
    inference(avatar_split_clause,[],[f306,f877,f488]) ).

fof(f306,plain,
    ( c2_1(a1717)
    | ~ hskp74 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_9
    | spl0_110 ),
    inference(avatar_split_clause,[],[f308,f871,f433]) ).

fof(f433,plain,
    ( spl0_9
  <=> hskp75 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f308,plain,
    ( c0_1(a1724)
    | ~ hskp75 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_9
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f309,f866,f433]) ).

fof(f309,plain,
    ( ~ c2_1(a1724)
    | ~ hskp75 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_9
    | spl0_108 ),
    inference(avatar_split_clause,[],[f310,f861,f433]) ).

fof(f310,plain,
    ( c3_1(a1724)
    | ~ hskp75 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( spl0_39
    | ~ spl0_1
    | spl0_34
    | spl0_107 ),
    inference(avatar_split_clause,[],[f311,f856,f529,f403,f548]) ).

fof(f311,plain,
    ! [X88] :
      ( hskp42
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( spl0_30
    | spl0_102
    | ~ spl0_1
    | spl0_21 ),
    inference(avatar_split_clause,[],[f372,f479,f403,f833,f515]) ).

fof(f372,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | ~ c0_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | hskp1
      | c3_1(X85)
      | c0_1(X85)
      | c2_1(X85) ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f314,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | ~ c0_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | hskp1
      | c3_1(X85)
      | c0_1(X85)
      | c2_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( spl0_22
    | spl0_90
    | spl0_101 ),
    inference(avatar_split_clause,[],[f315,f828,f776,f483]) ).

fof(f315,plain,
    ( hskp3
    | hskp2
    | hskp47 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( ~ spl0_1
    | spl0_19
    | spl0_97
    | spl0_98 ),
    inference(avatar_split_clause,[],[f317,f814,f810,f470,f403]) ).

fof(f317,plain,
    ! [X82] :
      ( hskp6
      | hskp48
      | c2_1(X82)
      | ~ c3_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( spl0_2
    | ~ spl0_1
    | spl0_33
    | spl0_96 ),
    inference(avatar_split_clause,[],[f373,f805,f526,f403,f407]) ).

fof(f373,plain,
    ! [X80,X81] :
      ( hskp49
      | c0_1(X80)
      | c2_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | ~ c1_1(X81)
      | c0_1(X81)
      | c2_1(X81) ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f318,plain,
    ! [X80,X81] :
      ( hskp49
      | c0_1(X80)
      | c2_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | ~ c1_1(X81)
      | c0_1(X81)
      | c2_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( spl0_54
    | ~ spl0_1
    | spl0_34
    | spl0_93 ),
    inference(avatar_split_clause,[],[f320,f791,f529,f403,f615]) ).

fof(f320,plain,
    ! [X78] :
      ( hskp7
      | c3_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f774,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_1
    | spl0_34 ),
    inference(avatar_split_clause,[],[f324,f529,f403,f771,f767]) ).

fof(f324,plain,
    ! [X72] :
      ( c3_1(X72)
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | hskp55
      | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_1
    | spl0_19
    | spl0_85
    | spl0_20 ),
    inference(avatar_split_clause,[],[f327,f474,f753,f470,f403]) ).

fof(f327,plain,
    ! [X67] :
      ( hskp57
      | hskp11
      | ~ c3_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( spl0_82
    | spl0_83
    | ~ spl0_1
    | spl0_21 ),
    inference(avatar_split_clause,[],[f329,f479,f403,f743,f739]) ).

fof(f329,plain,
    ! [X65] :
      ( c2_1(X65)
      | ~ c0_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | hskp59
      | hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( spl0_72
    | spl0_14
    | ~ spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f378,f419,f403,f452,f693]) ).

fof(f378,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | ~ c2_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | c1_1(X61)
      | c0_1(X61)
      | hskp60 ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f332,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | ~ c2_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | c1_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | hskp60 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_1
    | spl0_27
    | spl0_11
    | spl0_77 ),
    inference(avatar_split_clause,[],[f333,f716,f441,f504,f403]) ).

fof(f333,plain,
    ! [X59] :
      ( hskp62
      | hskp61
      | c0_1(X59)
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( spl0_8
    | spl0_16
    | ~ spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f379,f452,f403,f459,f430]) ).

fof(f379,plain,
    ! [X58,X56,X57] :
      ( c1_1(X56)
      | ~ c3_1(X56)
      | c0_1(X56)
      | ~ ndr1_0
      | c1_1(X57)
      | ~ c3_1(X57)
      | ~ c0_1(X57)
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ c1_1(X58) ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f334,plain,
    ! [X58,X56,X57] :
      ( c1_1(X56)
      | ~ c3_1(X56)
      | c0_1(X56)
      | ~ ndr1_0
      | c1_1(X57)
      | ~ c3_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_1
    | spl0_16
    | spl0_74
    | spl0_75 ),
    inference(avatar_split_clause,[],[f336,f706,f702,f459,f403]) ).

fof(f336,plain,
    ! [X53] :
      ( hskp17
      | hskp16
      | ~ c3_1(X53)
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( spl0_69
    | ~ spl0_1
    | spl0_70
    | spl0_71 ),
    inference(avatar_split_clause,[],[f338,f688,f685,f403,f681]) ).

fof(f338,plain,
    ! [X51] :
      ( hskp20
      | c3_1(X51)
      | ~ c1_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( spl0_63
    | spl0_64
    | spl0_65 ),
    inference(avatar_split_clause,[],[f341,f663,f659,f655]) ).

fof(f341,plain,
    ( hskp65
    | hskp64
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( spl0_11
    | spl0_62
    | ~ spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f342,f452,f403,f650,f441]) ).

fof(f342,plain,
    ! [X46] :
      ( c0_1(X46)
      | c1_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp24
      | hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( spl0_60
    | spl0_61
    | ~ spl0_1
    | spl0_27 ),
    inference(avatar_split_clause,[],[f383,f504,f403,f646,f642]) ).

fof(f383,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | c0_1(X45)
      | c1_1(X45)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f343]) ).

fof(f343,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | ~ c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | c0_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( spl0_25
    | spl0_59
    | ~ spl0_1
    | spl0_28 ),
    inference(avatar_split_clause,[],[f384,f507,f403,f637,f496]) ).

fof(f384,plain,
    ! [X42,X43] :
      ( c1_1(X42)
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | hskp26
      | ~ c0_1(X43)
      | ~ c3_1(X43)
      | ~ c2_1(X43) ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f344,plain,
    ! [X42,X43] :
      ( c1_1(X42)
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | hskp26
      | ~ c0_1(X43)
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f635,plain,
    ( spl0_56
    | spl0_57
    | spl0_58 ),
    inference(avatar_split_clause,[],[f345,f632,f628,f624]) ).

fof(f345,plain,
    ( hskp28
    | hskp27
    | hskp66 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( spl0_15
    | spl0_54
    | spl0_55 ),
    inference(avatar_split_clause,[],[f346,f619,f615,f455]) ).

fof(f346,plain,
    ( hskp53
    | hskp52
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( spl0_12
    | ~ spl0_1
    | spl0_14
    | spl0_4 ),
    inference(avatar_split_clause,[],[f385,f414,f452,f403,f445]) ).

fof(f385,plain,
    ! [X40,X41] :
      ( hskp30
      | c1_1(X40)
      | ~ c3_1(X40)
      | c0_1(X40)
      | ~ ndr1_0
      | c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41) ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f347,plain,
    ! [X40,X41] :
      ( hskp30
      | c1_1(X40)
      | ~ c3_1(X40)
      | c0_1(X40)
      | ~ ndr1_0
      | c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( spl0_28
    | ~ spl0_1
    | spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f386,f596,f459,f403,f507]) ).

fof(f386,plain,
    ! [X38,X39] :
      ( hskp67
      | c1_1(X38)
      | ~ c0_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f349,plain,
    ! [X38,X39] :
      ( hskp67
      | c1_1(X38)
      | ~ c0_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f572,plain,
    ( spl0_38
    | ~ spl0_1
    | spl0_7
    | spl0_44 ),
    inference(avatar_split_clause,[],[f388,f569,f426,f403,f545]) ).

fof(f388,plain,
    ! [X32,X33] :
      ( hskp13
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | c2_1(X33) ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f353,plain,
    ! [X32,X33] :
      ( hskp13
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | c2_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( spl0_37
    | ~ spl0_1
    | spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f391,f548,f545,f403,f542]) ).

fof(f391,plain,
    ! [X26,X27] :
      ( hskp0
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27) ),
    inference(duplicate_literal_removal,[],[f356]) ).

fof(f356,plain,
    ! [X26,X27] :
      ( hskp0
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f540,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_35
    | spl0_36 ),
    inference(avatar_split_clause,[],[f357,f537,f533,f407,f403]) ).

fof(f357,plain,
    ! [X25] :
      ( hskp71
      | hskp36
      | c0_1(X25)
      | ~ c1_1(X25)
      | c2_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_1
    | spl0_34 ),
    inference(avatar_split_clause,[],[f392,f529,f403,f526,f523]) ).

fof(f392,plain,
    ! [X24,X22,X23] :
      ( ~ c2_1(X22)
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | c2_1(X23)
      | c1_1(X23)
      | c3_1(X24)
      | c1_1(X24)
      | c2_1(X24) ),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f358,plain,
    ! [X24,X22,X23] :
      ( ~ c2_1(X22)
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | c2_1(X23)
      | c1_1(X23)
      | ~ ndr1_0
      | c3_1(X24)
      | c1_1(X24)
      | c2_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_29
    | ~ spl0_1
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f359,f518,f515,f403,f511]) ).

fof(f359,plain,
    ! [X21] :
      ( hskp72
      | c2_1(X21)
      | c0_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_1
    | spl0_28 ),
    inference(avatar_split_clause,[],[f393,f507,f403,f504,f500]) ).

fof(f393,plain,
    ! [X19,X20] :
      ( c1_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c0_1(X20)
      | ~ c3_1(X20)
      | ~ c1_1(X20)
      | hskp73 ),
    inference(duplicate_literal_removal,[],[f360]) ).

fof(f360,plain,
    ! [X19,X20] :
      ( c1_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c0_1(X20)
      | ~ c3_1(X20)
      | ~ c1_1(X20)
      | ~ ndr1_0
      | hskp73 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_1
    | spl0_25 ),
    inference(avatar_split_clause,[],[f361,f496,f403,f492,f488]) ).

fof(f361,plain,
    ! [X18] :
      ( ~ c0_1(X18)
      | ~ c2_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | hskp38
      | hskp74 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_7
    | spl0_22
    | ~ spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f394,f448,f403,f483,f426]) ).

fof(f394,plain,
    ! [X16,X17] :
      ( c2_1(X16)
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ ndr1_0
      | hskp47
      | ~ c3_1(X17)
      | ~ c0_1(X17)
      | ~ c1_1(X17) ),
    inference(duplicate_literal_removal,[],[f362]) ).

fof(f362,plain,
    ! [X16,X17] :
      ( c2_1(X16)
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ ndr1_0
      | hskp47
      | ~ c3_1(X17)
      | ~ c0_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_10
    | spl0_7
    | ~ spl0_1
    | spl0_21 ),
    inference(avatar_split_clause,[],[f395,f479,f403,f426,f437]) ).

fof(f395,plain,
    ! [X14,X15,X13] :
      ( c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | ~ c3_1(X14)
      | ~ c3_1(X15)
      | c2_1(X15)
      | c1_1(X15) ),
    inference(duplicate_literal_removal,[],[f363]) ).

fof(f363,plain,
    ! [X14,X15,X13] :
      ( c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | c2_1(X15)
      | c1_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_5
    | spl0_20
    | ~ spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f396,f448,f403,f474,f419]) ).

fof(f396,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | c3_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | hskp57
      | c3_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f364]) ).

fof(f364,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | c3_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | hskp57
      | c3_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_1
    | spl0_16 ),
    inference(avatar_split_clause,[],[f398,f459,f403,f455,f452]) ).

fof(f398,plain,
    ! [X8,X7] :
      ( ~ c3_1(X7)
      | c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | hskp29
      | ~ c3_1(X8)
      | c1_1(X8)
      | c0_1(X8) ),
    inference(duplicate_literal_removal,[],[f366]) ).

fof(f366,plain,
    ! [X8,X7] :
      ( ~ c3_1(X7)
      | c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | hskp29
      | ~ c3_1(X8)
      | c1_1(X8)
      | c0_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f399,f448,f403,f445,f441]) ).

fof(f399,plain,
    ! [X6,X5] :
      ( c3_1(X5)
      | c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c2_1(X6)
      | hskp61 ),
    inference(duplicate_literal_removal,[],[f367]) ).

fof(f367,plain,
    ! [X6,X5] :
      ( c3_1(X5)
      | c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f400,f437,f403,f433,f430]) ).

fof(f400,plain,
    ! [X3,X4] :
      ( c2_1(X3)
      | c1_1(X3)
      | ~ c3_1(X3)
      | ~ ndr1_0
      | hskp75
      | ~ c1_1(X4)
      | c3_1(X4)
      | ~ c2_1(X4) ),
    inference(duplicate_literal_removal,[],[f368]) ).

fof(f368,plain,
    ! [X3,X4] :
      ( c2_1(X3)
      | c1_1(X3)
      | ~ c3_1(X3)
      | ~ ndr1_0
      | hskp75
      | ~ c1_1(X4)
      | c3_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f401,f426,f403,f422,f419]) ).

fof(f401,plain,
    ! [X2,X1] :
      ( ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | hskp40
      | c3_1(X2)
      | ~ c2_1(X2)
      | c1_1(X2) ),
    inference(duplicate_literal_removal,[],[f369]) ).

fof(f369,plain,
    ! [X2,X1] :
      ( ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | hskp40
      | c3_1(X2)
      | ~ c2_1(X2)
      | c1_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN457+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 17:37:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (24721)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (24724)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (24728)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (24722)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (24727)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (24725)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (24726)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (24723)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [76]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [76]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [76]
% 0.15/0.38  TRYING [1]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [76]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.42  TRYING [5]
% 0.21/0.43  TRYING [5]
% 0.21/0.50  % (24727)First to succeed.
% 0.21/0.51  % (24727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24721"
% 0.21/0.51  % (24727)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (24727)------------------------------
% 0.21/0.52  % (24727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.52  % (24727)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (24727)Memory used [KB]: 3602
% 0.21/0.52  % (24727)Time elapsed: 0.137 s
% 0.21/0.52  % (24727)Instructions burned: 260 (million)
% 0.21/0.52  % (24721)Success in time 0.151 s
%------------------------------------------------------------------------------