TSTP Solution File: SYN502+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN502+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n013.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 : Fri Sep  1 03:41:03 EDT 2023

% Result   : Theorem 0.24s 0.48s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  156
% Syntax   : Number of formulae    :  668 (   1 unt;   0 def)
%            Number of atoms       : 6687 (   0 equ)
%            Maximal formula atoms :  747 (  10 avg)
%            Number of connectives : 8765 (2746   ~;4154   |;1242   &)
%                                         ( 155 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  193 ( 192 usr; 189 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  875 (; 875   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1989,plain,
    $false,
    inference(avatar_sat_refutation,[],[f263,f273,f280,f291,f292,f299,f300,f308,f318,f325,f353,f357,f366,f371,f378,f392,f396,f403,f407,f408,f412,f413,f417,f418,f419,f420,f428,f436,f437,f441,f442,f443,f449,f454,f455,f459,f465,f470,f471,f475,f484,f485,f486,f490,f495,f498,f502,f503,f530,f534,f543,f547,f551,f556,f560,f564,f569,f573,f577,f584,f588,f592,f597,f601,f605,f610,f614,f618,f623,f627,f631,f637,f641,f645,f651,f655,f659,f678,f682,f686,f691,f695,f699,f705,f709,f713,f719,f723,f727,f732,f736,f740,f745,f749,f753,f754,f759,f763,f767,f773,f777,f781,f787,f791,f795,f800,f804,f808,f814,f818,f822,f827,f831,f835,f841,f845,f849,f850,f855,f859,f863,f864,f882,f886,f890,f896,f900,f904,f909,f913,f917,f922,f926,f930,f967,f974,f985,f997,f1004,f1012,f1024,f1042,f1052,f1058,f1066,f1079,f1088,f1097,f1114,f1118,f1131,f1132,f1145,f1152,f1203,f1211,f1228,f1249,f1254,f1267,f1270,f1273,f1282,f1295,f1297,f1302,f1325,f1339,f1345,f1350,f1360,f1450,f1453,f1457,f1497,f1500,f1509,f1535,f1554,f1617,f1619,f1623,f1627,f1629,f1630,f1639,f1644,f1748,f1755,f1759,f1774,f1776,f1778,f1791,f1792,f1796,f1798,f1840,f1857,f1872,f1877,f1901,f1907,f1908,f1973,f1981,f1984]) ).

fof(f1984,plain,
    ( spl0_180
    | spl0_143
    | ~ spl0_59
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1845,f888,f492,f880,f1293]) ).

fof(f1293,plain,
    ( spl0_180
  <=> c1_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f880,plain,
    ( spl0_143
  <=> c0_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f492,plain,
    ( spl0_59
  <=> ! [X86] :
        ( ~ c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f888,plain,
    ( spl0_145
  <=> c2_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1845,plain,
    ( c0_1(a241)
    | c1_1(a241)
    | ~ spl0_59
    | ~ spl0_145 ),
    inference(resolution,[],[f493,f889]) ).

fof(f889,plain,
    ( c2_1(a241)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f493,plain,
    ( ! [X86] :
        ( ~ c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f1981,plain,
    ( spl0_174
    | spl0_87
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1837,f629,f488,f625,f1135]) ).

fof(f1135,plain,
    ( spl0_174
  <=> c1_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f625,plain,
    ( spl0_87
  <=> c0_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f488,plain,
    ( spl0_58
  <=> ! [X85] :
        ( ~ c3_1(X85)
        | c0_1(X85)
        | c1_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f629,plain,
    ( spl0_88
  <=> c3_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1837,plain,
    ( c0_1(a282)
    | c1_1(a282)
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(resolution,[],[f489,f630]) ).

fof(f630,plain,
    ( c3_1(a282)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f489,plain,
    ( ! [X85] :
        ( ~ c3_1(X85)
        | c0_1(X85)
        | c1_1(X85) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1973,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_55
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1970,f1135,f473,f625,f621]) ).

fof(f621,plain,
    ( spl0_86
  <=> c2_1(a282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f473,plain,
    ( spl0_55
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c2_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1970,plain,
    ( c0_1(a282)
    | c2_1(a282)
    | ~ spl0_55
    | ~ spl0_174 ),
    inference(resolution,[],[f1136,f474]) ).

fof(f474,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c2_1(X73) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f1136,plain,
    ( c1_1(a282)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1908,plain,
    ( ~ spl0_129
    | ~ spl0_130
    | ~ spl0_19
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1897,f1116,f320,f820,f816]) ).

fof(f816,plain,
    ( spl0_129
  <=> c3_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f820,plain,
    ( spl0_130
  <=> c0_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f320,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1116,plain,
    ( spl0_172
  <=> c1_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1897,plain,
    ( ~ c0_1(a249)
    | ~ c3_1(a249)
    | ~ spl0_19
    | ~ spl0_172 ),
    inference(resolution,[],[f1117,f321]) ).

fof(f321,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f1117,plain,
    ( c1_1(a249)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1907,plain,
    ( ~ spl0_90
    | ~ spl0_186
    | ~ spl0_19
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1663,f643,f320,f1468,f639]) ).

fof(f639,plain,
    ( spl0_90
  <=> c3_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1468,plain,
    ( spl0_186
  <=> c0_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f643,plain,
    ( spl0_91
  <=> c1_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1663,plain,
    ( ~ c0_1(a281)
    | ~ c3_1(a281)
    | ~ spl0_19
    | ~ spl0_91 ),
    inference(resolution,[],[f321,f644]) ).

fof(f644,plain,
    ( c1_1(a281)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f1901,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_59
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1900,f1128,f492,f829,f825]) ).

fof(f825,plain,
    ( spl0_131
  <=> c1_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f829,plain,
    ( spl0_132
  <=> c0_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1128,plain,
    ( spl0_173
  <=> c2_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1900,plain,
    ( c0_1(a248)
    | c1_1(a248)
    | ~ spl0_59
    | ~ spl0_173 ),
    inference(resolution,[],[f1129,f493]) ).

fof(f1129,plain,
    ( c2_1(a248)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1877,plain,
    ( ~ spl0_68
    | ~ spl0_70
    | ~ spl0_19
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1874,f545,f320,f549,f541]) ).

fof(f541,plain,
    ( spl0_68
  <=> c3_1(a243) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f549,plain,
    ( spl0_70
  <=> c0_1(a243) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f545,plain,
    ( spl0_69
  <=> c1_1(a243) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1874,plain,
    ( ~ c0_1(a243)
    | ~ c3_1(a243)
    | ~ spl0_19
    | ~ spl0_69 ),
    inference(resolution,[],[f546,f321]) ).

fof(f546,plain,
    ( c1_1(a243)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1872,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_60
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1865,f717,f500,f725,f721]) ).

fof(f721,plain,
    ( spl0_108
  <=> c1_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f725,plain,
    ( spl0_109
  <=> c0_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f500,plain,
    ( spl0_60
  <=> ! [X93] :
        ( c3_1(X93)
        | c0_1(X93)
        | c1_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f717,plain,
    ( spl0_107
  <=> c3_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1865,plain,
    ( c0_1(a263)
    | c1_1(a263)
    | ~ spl0_60
    | spl0_107 ),
    inference(resolution,[],[f501,f718]) ).

fof(f718,plain,
    ( ~ c3_1(a263)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f501,plain,
    ( ! [X93] :
        ( c3_1(X93)
        | c0_1(X93)
        | c1_1(X93) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f1857,plain,
    ( spl0_126
    | spl0_166
    | ~ spl0_59
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1847,f806,f492,f1050,f802]) ).

fof(f802,plain,
    ( spl0_126
  <=> c1_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1050,plain,
    ( spl0_166
  <=> c0_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f806,plain,
    ( spl0_127
  <=> c2_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1847,plain,
    ( c0_1(a251)
    | c1_1(a251)
    | ~ spl0_59
    | ~ spl0_127 ),
    inference(resolution,[],[f493,f807]) ).

fof(f807,plain,
    ( c2_1(a251)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f1840,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1832,f833,f488,f829,f825]) ).

fof(f833,plain,
    ( spl0_133
  <=> c3_1(a248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1832,plain,
    ( c0_1(a248)
    | c1_1(a248)
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(resolution,[],[f489,f834]) ).

fof(f834,plain,
    ( c3_1(a248)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f1798,plain,
    ( spl0_89
    | spl0_186
    | ~ spl0_55
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1743,f643,f473,f1468,f635]) ).

fof(f635,plain,
    ( spl0_89
  <=> c2_1(a281) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1743,plain,
    ( c0_1(a281)
    | c2_1(a281)
    | ~ spl0_55
    | ~ spl0_91 ),
    inference(resolution,[],[f474,f644]) ).

fof(f1796,plain,
    ( ~ spl0_162
    | spl0_98
    | ~ spl0_31
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1518,f684,f364,f676,f971]) ).

fof(f971,plain,
    ( spl0_162
  <=> c3_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f676,plain,
    ( spl0_98
  <=> c2_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f364,plain,
    ( spl0_31
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f684,plain,
    ( spl0_100
  <=> c0_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1518,plain,
    ( c2_1(a271)
    | ~ c3_1(a271)
    | ~ spl0_31
    | ~ spl0_100 ),
    inference(resolution,[],[f365,f685]) ).

fof(f685,plain,
    ( c0_1(a271)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f365,plain,
    ( ! [X11] :
        ( ~ c0_1(X11)
        | c2_1(X11)
        | ~ c3_1(X11) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1792,plain,
    ( ~ spl0_181
    | spl0_134
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1686,f843,f373,f839,f1337]) ).

fof(f1337,plain,
    ( spl0_181
  <=> c3_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f839,plain,
    ( spl0_134
  <=> c1_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f373,plain,
    ( spl0_33
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f843,plain,
    ( spl0_135
  <=> c2_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1686,plain,
    ( c1_1(a245)
    | ~ c3_1(a245)
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(resolution,[],[f374,f844]) ).

fof(f844,plain,
    ( c2_1(a245)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f374,plain,
    ( ! [X17] :
        ( ~ c2_1(X17)
        | c1_1(X17)
        | ~ c3_1(X17) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f1791,plain,
    ( spl0_146
    | spl0_147
    | ~ spl0_44
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1780,f902,f415,f898,f894]) ).

fof(f894,plain,
    ( spl0_146
  <=> c2_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f898,plain,
    ( spl0_147
  <=> c1_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f415,plain,
    ( spl0_44
  <=> ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | c2_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f902,plain,
    ( spl0_148
  <=> c3_1(a239) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1780,plain,
    ( c1_1(a239)
    | c2_1(a239)
    | ~ spl0_44
    | ~ spl0_148 ),
    inference(resolution,[],[f416,f903]) ).

fof(f903,plain,
    ( c3_1(a239)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f416,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | c2_1(X32) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f1778,plain,
    ( ~ spl0_180
    | spl0_143
    | ~ spl0_50
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1408,f884,f446,f880,f1293]) ).

fof(f446,plain,
    ( spl0_50
  <=> ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c1_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f884,plain,
    ( spl0_144
  <=> c3_1(a241) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1408,plain,
    ( c0_1(a241)
    | ~ c1_1(a241)
    | ~ spl0_50
    | ~ spl0_144 ),
    inference(resolution,[],[f447,f885]) ).

fof(f885,plain,
    ( c3_1(a241)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f447,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1776,plain,
    ( spl0_86
    | spl0_174
    | ~ spl0_44
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1124,f629,f415,f1135,f621]) ).

fof(f1124,plain,
    ( c1_1(a282)
    | c2_1(a282)
    | ~ spl0_44
    | ~ spl0_88 ),
    inference(resolution,[],[f416,f630]) ).

fof(f1774,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_56
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1764,f743,f479,f751,f747]) ).

fof(f747,plain,
    ( spl0_114
  <=> c2_1(a258) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f751,plain,
    ( spl0_115
  <=> c0_1(a258) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f479,plain,
    ( spl0_56
  <=> ! [X79] :
        ( c3_1(X79)
        | c0_1(X79)
        | c2_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f743,plain,
    ( spl0_113
  <=> c3_1(a258) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1764,plain,
    ( c0_1(a258)
    | c2_1(a258)
    | ~ spl0_56
    | spl0_113 ),
    inference(resolution,[],[f480,f744]) ).

fof(f744,plain,
    ( ~ c3_1(a258)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f480,plain,
    ( ! [X79] :
        ( c3_1(X79)
        | c0_1(X79)
        | c2_1(X79) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f1759,plain,
    ( spl0_178
    | spl0_152
    | ~ spl0_55
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1758,f928,f473,f920,f1265]) ).

fof(f1265,plain,
    ( spl0_178
  <=> c2_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f920,plain,
    ( spl0_152
  <=> c0_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f928,plain,
    ( spl0_154
  <=> c1_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1758,plain,
    ( c0_1(a236)
    | c2_1(a236)
    | ~ spl0_55
    | ~ spl0_154 ),
    inference(resolution,[],[f929,f474]) ).

fof(f929,plain,
    ( c1_1(a236)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f1755,plain,
    ( ~ spl0_117
    | spl0_116
    | ~ spl0_33
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f975,f765,f373,f757,f761]) ).

fof(f761,plain,
    ( spl0_117
  <=> c3_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f757,plain,
    ( spl0_116
  <=> c1_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f765,plain,
    ( spl0_118
  <=> c2_1(a257) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f975,plain,
    ( c1_1(a257)
    | ~ c3_1(a257)
    | ~ spl0_33
    | ~ spl0_118 ),
    inference(resolution,[],[f374,f766]) ).

fof(f766,plain,
    ( c2_1(a257)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f1748,plain,
    ( spl0_168
    | spl0_120
    | ~ spl0_55
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1737,f779,f473,f775,f1064]) ).

fof(f1064,plain,
    ( spl0_168
  <=> c2_1(a253) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f775,plain,
    ( spl0_120
  <=> c0_1(a253) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f779,plain,
    ( spl0_121
  <=> c1_1(a253) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1737,plain,
    ( c0_1(a253)
    | c2_1(a253)
    | ~ spl0_55
    | ~ spl0_121 ),
    inference(resolution,[],[f474,f780]) ).

fof(f780,plain,
    ( c1_1(a253)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f1644,plain,
    ( spl0_89
    | spl0_186
    | ~ spl0_54
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1605,f639,f467,f1468,f635]) ).

fof(f467,plain,
    ( spl0_54
  <=> ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1605,plain,
    ( c0_1(a281)
    | c2_1(a281)
    | ~ spl0_54
    | ~ spl0_90 ),
    inference(resolution,[],[f468,f640]) ).

fof(f640,plain,
    ( c3_1(a281)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f468,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1639,plain,
    ( spl0_178
    | spl0_152
    | ~ spl0_54
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1638,f924,f467,f920,f1265]) ).

fof(f924,plain,
    ( spl0_153
  <=> c3_1(a236) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1638,plain,
    ( c0_1(a236)
    | c2_1(a236)
    | ~ spl0_54
    | ~ spl0_153 ),
    inference(resolution,[],[f925,f468]) ).

fof(f925,plain,
    ( c3_1(a236)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f1630,plain,
    ( ~ spl0_164
    | ~ spl0_75
    | ~ spl0_17
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1220,f567,f313,f571,f1001]) ).

fof(f1001,plain,
    ( spl0_164
  <=> c3_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f571,plain,
    ( spl0_75
  <=> c1_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f313,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f567,plain,
    ( spl0_74
  <=> c2_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1220,plain,
    ( ~ c1_1(a237)
    | ~ c3_1(a237)
    | ~ spl0_17
    | ~ spl0_74 ),
    inference(resolution,[],[f314,f568]) ).

fof(f568,plain,
    ( c2_1(a237)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f314,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1629,plain,
    ( ~ spl0_65
    | ~ spl0_163
    | ~ spl0_17
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1222,f532,f313,f983,f528]) ).

fof(f528,plain,
    ( spl0_65
  <=> c3_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f983,plain,
    ( spl0_163
  <=> c1_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f532,plain,
    ( spl0_66
  <=> c2_1(a246) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1222,plain,
    ( ~ c1_1(a246)
    | ~ c3_1(a246)
    | ~ spl0_17
    | ~ spl0_66 ),
    inference(resolution,[],[f314,f533]) ).

fof(f533,plain,
    ( c2_1(a246)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f1627,plain,
    ( ~ spl0_94
    | spl0_92
    | ~ spl0_42
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1393,f961,f405,f649,f657]) ).

fof(f657,plain,
    ( spl0_94
  <=> c0_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f649,plain,
    ( spl0_92
  <=> c3_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f405,plain,
    ( spl0_42
  <=> ! [X23] :
        ( ~ c2_1(X23)
        | c3_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f961,plain,
    ( spl0_161
  <=> c2_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1393,plain,
    ( c3_1(a276)
    | ~ c0_1(a276)
    | ~ spl0_42
    | ~ spl0_161 ),
    inference(resolution,[],[f966,f406]) ).

fof(f406,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | c3_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f966,plain,
    ( c2_1(a276)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f1623,plain,
    ( spl0_173
    | spl0_132
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1599,f833,f467,f829,f1128]) ).

fof(f1599,plain,
    ( c0_1(a248)
    | c2_1(a248)
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(resolution,[],[f468,f834]) ).

fof(f1619,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_53
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1584,f779,f462,f775,f771]) ).

fof(f771,plain,
    ( spl0_119
  <=> c3_1(a253) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f462,plain,
    ( spl0_53
  <=> ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | c3_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1584,plain,
    ( c0_1(a253)
    | c3_1(a253)
    | ~ spl0_53
    | ~ spl0_121 ),
    inference(resolution,[],[f463,f780]) ).

fof(f463,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | c3_1(X65) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1617,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_54
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1606,f629,f467,f625,f621]) ).

fof(f1606,plain,
    ( c0_1(a282)
    | c2_1(a282)
    | ~ spl0_54
    | ~ spl0_88 ),
    inference(resolution,[],[f468,f630]) ).

fof(f1554,plain,
    ( spl0_181
    | spl0_134
    | ~ spl0_40
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1544,f843,f398,f839,f1337]) ).

fof(f398,plain,
    ( spl0_40
  <=> ! [X22] :
        ( ~ c2_1(X22)
        | c1_1(X22)
        | c3_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1544,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ spl0_40
    | ~ spl0_135 ),
    inference(resolution,[],[f399,f844]) ).

fof(f399,plain,
    ( ! [X22] :
        ( ~ c2_1(X22)
        | c1_1(X22)
        | c3_1(X22) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1535,plain,
    ( spl0_149
    | spl0_150
    | ~ spl0_32
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1524,f915,f368,f911,f907]) ).

fof(f907,plain,
    ( spl0_149
  <=> c3_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f911,plain,
    ( spl0_150
  <=> c2_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f368,plain,
    ( spl0_32
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f915,plain,
    ( spl0_151
  <=> c0_1(a238) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1524,plain,
    ( c2_1(a238)
    | c3_1(a238)
    | ~ spl0_32
    | ~ spl0_151 ),
    inference(resolution,[],[f369,f916]) ).

fof(f916,plain,
    ( c0_1(a238)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f369,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | c2_1(X13)
        | c3_1(X13) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1509,plain,
    ( ~ spl0_84
    | spl0_83
    | ~ spl0_22
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f986,f616,f331,f608,f612]) ).

fof(f612,plain,
    ( spl0_84
  <=> c2_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f608,plain,
    ( spl0_83
  <=> c3_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f331,plain,
    ( spl0_22
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f616,plain,
    ( spl0_85
  <=> c1_1(a294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f986,plain,
    ( c3_1(a294)
    | ~ c2_1(a294)
    | ~ spl0_22
    | ~ spl0_85 ),
    inference(resolution,[],[f617,f332]) ).

fof(f332,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f617,plain,
    ( c1_1(a294)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f1500,plain,
    ( ~ spl0_90
    | spl0_89
    | ~ spl0_27
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1492,f643,f348,f635,f639]) ).

fof(f348,plain,
    ( spl0_27
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1492,plain,
    ( c2_1(a281)
    | ~ c3_1(a281)
    | ~ spl0_27
    | ~ spl0_91 ),
    inference(resolution,[],[f349,f644]) ).

fof(f349,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | c2_1(X7)
        | ~ c3_1(X7) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1497,plain,
    ( ~ spl0_162
    | spl0_98
    | ~ spl0_27
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1490,f680,f348,f676,f971]) ).

fof(f680,plain,
    ( spl0_99
  <=> c1_1(a271) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1490,plain,
    ( c2_1(a271)
    | ~ c3_1(a271)
    | ~ spl0_27
    | ~ spl0_99 ),
    inference(resolution,[],[f349,f681]) ).

fof(f681,plain,
    ( c1_1(a271)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f1457,plain,
    ( ~ spl0_82
    | spl0_81
    | ~ spl0_52
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1445,f595,f457,f599,f603]) ).

fof(f603,plain,
    ( spl0_82
  <=> c2_1(a314) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f599,plain,
    ( spl0_81
  <=> c0_1(a314) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f457,plain,
    ( spl0_52
  <=> ! [X63] :
        ( ~ c2_1(X63)
        | c0_1(X63)
        | c3_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f595,plain,
    ( spl0_80
  <=> c3_1(a314) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1445,plain,
    ( c0_1(a314)
    | ~ c2_1(a314)
    | ~ spl0_52
    | spl0_80 ),
    inference(resolution,[],[f458,f596]) ).

fof(f596,plain,
    ( ~ c3_1(a314)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f458,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | c0_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f1453,plain,
    ( ~ spl0_183
    | spl0_109
    | ~ spl0_52
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1442,f717,f457,f725,f1357]) ).

fof(f1357,plain,
    ( spl0_183
  <=> c2_1(a263) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1442,plain,
    ( c0_1(a263)
    | ~ c2_1(a263)
    | ~ spl0_52
    | spl0_107 ),
    inference(resolution,[],[f458,f718]) ).

fof(f1450,plain,
    ( ~ spl0_127
    | spl0_166
    | ~ spl0_52
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1439,f798,f457,f1050,f806]) ).

fof(f798,plain,
    ( spl0_125
  <=> c3_1(a251) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1439,plain,
    ( c0_1(a251)
    | ~ c2_1(a251)
    | ~ spl0_52
    | spl0_125 ),
    inference(resolution,[],[f458,f799]) ).

fof(f799,plain,
    ( ~ c3_1(a251)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f1360,plain,
    ( spl0_183
    | spl0_108
    | ~ spl0_47
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1173,f717,f430,f721,f1357]) ).

fof(f430,plain,
    ( spl0_47
  <=> ! [X44] :
        ( c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1173,plain,
    ( c1_1(a263)
    | c2_1(a263)
    | ~ spl0_47
    | spl0_107 ),
    inference(resolution,[],[f431,f718]) ).

fof(f431,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1350,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_47
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1178,f582,f430,f590,f586]) ).

fof(f586,plain,
    ( spl0_78
  <=> c2_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f590,plain,
    ( spl0_79
  <=> c1_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f582,plain,
    ( spl0_77
  <=> c3_1(a322) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1178,plain,
    ( c1_1(a322)
    | c2_1(a322)
    | ~ spl0_47
    | spl0_77 ),
    inference(resolution,[],[f431,f583]) ).

fof(f583,plain,
    ( ~ c3_1(a322)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1345,plain,
    ( ~ spl0_181
    | spl0_134
    | ~ spl0_36
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1342,f847,f384,f839,f1337]) ).

fof(f384,plain,
    ( spl0_36
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f847,plain,
    ( spl0_136
  <=> c0_1(a245) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1342,plain,
    ( c1_1(a245)
    | ~ c3_1(a245)
    | ~ spl0_36
    | ~ spl0_136 ),
    inference(resolution,[],[f848,f385]) ).

fof(f385,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | c1_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f848,plain,
    ( c0_1(a245)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f1339,plain,
    ( ~ spl0_136
    | spl0_181
    | ~ spl0_42
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1334,f843,f405,f1337,f847]) ).

fof(f1334,plain,
    ( c3_1(a245)
    | ~ c0_1(a245)
    | ~ spl0_42
    | ~ spl0_135 ),
    inference(resolution,[],[f844,f406]) ).

fof(f1325,plain,
    ( ~ spl0_168
    | spl0_119
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1318,f779,f331,f771,f1064]) ).

fof(f1318,plain,
    ( c3_1(a253)
    | ~ c2_1(a253)
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(resolution,[],[f332,f780]) ).

fof(f1302,plain,
    ( ~ spl0_73
    | spl0_169
    | ~ spl0_51
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1290,f558,f452,f1086,f562]) ).

fof(f562,plain,
    ( spl0_73
  <=> c1_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1086,plain,
    ( spl0_169
  <=> c0_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f452,plain,
    ( spl0_51
  <=> ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f558,plain,
    ( spl0_72
  <=> c2_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1290,plain,
    ( c0_1(a240)
    | ~ c1_1(a240)
    | ~ spl0_51
    | ~ spl0_72 ),
    inference(resolution,[],[f453,f559]) ).

fof(f559,plain,
    ( c2_1(a240)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f453,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f1297,plain,
    ( ~ spl0_106
    | spl0_104
    | ~ spl0_51
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1286,f707,f452,f703,f711]) ).

fof(f711,plain,
    ( spl0_106
  <=> c1_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f703,plain,
    ( spl0_104
  <=> c0_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f707,plain,
    ( spl0_105
  <=> c2_1(a265) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1286,plain,
    ( c0_1(a265)
    | ~ c1_1(a265)
    | ~ spl0_51
    | ~ spl0_105 ),
    inference(resolution,[],[f453,f708]) ).

fof(f708,plain,
    ( c2_1(a265)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f1295,plain,
    ( ~ spl0_180
    | spl0_143
    | ~ spl0_51
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1283,f888,f452,f880,f1293]) ).

fof(f1283,plain,
    ( c0_1(a241)
    | ~ c1_1(a241)
    | ~ spl0_51
    | ~ spl0_145 ),
    inference(resolution,[],[f453,f889]) ).

fof(f1282,plain,
    ( ~ spl0_72
    | spl0_169
    | ~ spl0_49
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1263,f554,f439,f1086,f558]) ).

fof(f439,plain,
    ( spl0_49
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f554,plain,
    ( spl0_71
  <=> c3_1(a240) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1263,plain,
    ( c0_1(a240)
    | ~ c2_1(a240)
    | ~ spl0_49
    | ~ spl0_71 ),
    inference(resolution,[],[f440,f555]) ).

fof(f555,plain,
    ( c3_1(a240)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f440,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1273,plain,
    ( ~ spl0_173
    | spl0_132
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1258,f833,f439,f829,f1128]) ).

fof(f1258,plain,
    ( c0_1(a248)
    | ~ c2_1(a248)
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(resolution,[],[f440,f834]) ).

fof(f1270,plain,
    ( ~ spl0_145
    | spl0_143
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1257,f884,f439,f880,f888]) ).

fof(f1257,plain,
    ( c0_1(a241)
    | ~ c2_1(a241)
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(resolution,[],[f440,f885]) ).

fof(f1267,plain,
    ( ~ spl0_178
    | spl0_152
    | ~ spl0_49
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1255,f924,f439,f920,f1265]) ).

fof(f1255,plain,
    ( c0_1(a236)
    | ~ c2_1(a236)
    | ~ spl0_49
    | ~ spl0_153 ),
    inference(resolution,[],[f440,f925]) ).

fof(f1254,plain,
    ( spl0_171
    | spl0_137
    | ~ spl0_32
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1250,f861,f368,f853,f1111]) ).

fof(f1111,plain,
    ( spl0_171
  <=> c3_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f853,plain,
    ( spl0_137
  <=> c2_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f861,plain,
    ( spl0_139
  <=> c0_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1250,plain,
    ( c2_1(a244)
    | c3_1(a244)
    | ~ spl0_32
    | ~ spl0_139 ),
    inference(resolution,[],[f369,f862]) ).

fof(f862,plain,
    ( c0_1(a244)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f1249,plain,
    ( spl0_171
    | spl0_138
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1244,f861,f410,f857,f1111]) ).

fof(f857,plain,
    ( spl0_138
  <=> c1_1(a244) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f410,plain,
    ( spl0_43
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1244,plain,
    ( c1_1(a244)
    | c3_1(a244)
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f411,f862]) ).

fof(f411,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1228,plain,
    ( ~ spl0_71
    | ~ spl0_73
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1221,f558,f313,f562,f554]) ).

fof(f1221,plain,
    ( ~ c1_1(a240)
    | ~ c3_1(a240)
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(resolution,[],[f314,f559]) ).

fof(f1211,plain,
    ( ~ spl0_73
    | spl0_169
    | ~ spl0_50
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1200,f554,f446,f1086,f562]) ).

fof(f1200,plain,
    ( c0_1(a240)
    | ~ c1_1(a240)
    | ~ spl0_50
    | ~ spl0_71 ),
    inference(resolution,[],[f447,f555]) ).

fof(f1203,plain,
    ( ~ spl0_154
    | spl0_152
    | ~ spl0_50
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1193,f924,f446,f920,f928]) ).

fof(f1193,plain,
    ( c0_1(a236)
    | ~ c1_1(a236)
    | ~ spl0_50
    | ~ spl0_153 ),
    inference(resolution,[],[f447,f925]) ).

fof(f1152,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1147,f738,f355,f734,f730]) ).

fof(f730,plain,
    ( spl0_110
  <=> c3_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f734,plain,
    ( spl0_111
  <=> c2_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f355,plain,
    ( spl0_29
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f738,plain,
    ( spl0_112
  <=> c1_1(a259) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1147,plain,
    ( c2_1(a259)
    | c3_1(a259)
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(resolution,[],[f739,f356]) ).

fof(f356,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c2_1(X8)
        | c3_1(X8) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f739,plain,
    ( c1_1(a259)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f1145,plain,
    ( spl0_137
    | spl0_138
    | ~ spl0_45
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1138,f861,f422,f857,f853]) ).

fof(f422,plain,
    ( spl0_45
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1138,plain,
    ( c1_1(a244)
    | c2_1(a244)
    | ~ spl0_45
    | ~ spl0_139 ),
    inference(resolution,[],[f423,f862]) ).

fof(f423,plain,
    ( ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1132,plain,
    ( spl0_128
    | spl0_172
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1120,f816,f415,f1116,f812]) ).

fof(f812,plain,
    ( spl0_128
  <=> c2_1(a249) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1120,plain,
    ( c1_1(a249)
    | c2_1(a249)
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(resolution,[],[f416,f817]) ).

fof(f817,plain,
    ( c3_1(a249)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f1131,plain,
    ( spl0_173
    | spl0_131
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1119,f833,f415,f825,f1128]) ).

fof(f1119,plain,
    ( c1_1(a248)
    | c2_1(a248)
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(resolution,[],[f416,f834]) ).

fof(f1118,plain,
    ( ~ spl0_129
    | spl0_172
    | ~ spl0_36
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1104,f820,f384,f1116,f816]) ).

fof(f1104,plain,
    ( c1_1(a249)
    | ~ c3_1(a249)
    | ~ spl0_36
    | ~ spl0_130 ),
    inference(resolution,[],[f385,f821]) ).

fof(f821,plain,
    ( c0_1(a249)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f1114,plain,
    ( ~ spl0_171
    | spl0_138
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1103,f861,f384,f857,f1111]) ).

fof(f1103,plain,
    ( c1_1(a244)
    | ~ c3_1(a244)
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(resolution,[],[f385,f862]) ).

fof(f1097,plain,
    ( ~ spl0_129
    | spl0_128
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1089,f820,f364,f812,f816]) ).

fof(f1089,plain,
    ( c2_1(a249)
    | ~ c3_1(a249)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(resolution,[],[f365,f821]) ).

fof(f1088,plain,
    ( ~ spl0_71
    | ~ spl0_169
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1083,f562,f320,f1086,f554]) ).

fof(f1083,plain,
    ( ~ c0_1(a240)
    | ~ c3_1(a240)
    | ~ spl0_19
    | ~ spl0_73 ),
    inference(resolution,[],[f563,f321]) ).

fof(f563,plain,
    ( c1_1(a240)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f1079,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_43
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1073,f793,f410,f789,f785]) ).

fof(f785,plain,
    ( spl0_122
  <=> c3_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f789,plain,
    ( spl0_123
  <=> c1_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f793,plain,
    ( spl0_124
  <=> c0_1(a252) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1073,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ spl0_43
    | ~ spl0_124 ),
    inference(resolution,[],[f411,f794]) ).

fof(f794,plain,
    ( c0_1(a252)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f1066,plain,
    ( spl0_119
    | spl0_168
    | ~ spl0_29
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1059,f779,f355,f1064,f771]) ).

fof(f1059,plain,
    ( c2_1(a253)
    | c3_1(a253)
    | ~ spl0_29
    | ~ spl0_121 ),
    inference(resolution,[],[f780,f356]) ).

fof(f1058,plain,
    ( ~ spl0_76
    | spl0_164
    | ~ spl0_42
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1047,f567,f405,f1001,f575]) ).

fof(f575,plain,
    ( spl0_76
  <=> c0_1(a237) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1047,plain,
    ( c3_1(a237)
    | ~ c0_1(a237)
    | ~ spl0_42
    | ~ spl0_74 ),
    inference(resolution,[],[f406,f568]) ).

fof(f1052,plain,
    ( ~ spl0_166
    | spl0_125
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1043,f806,f405,f798,f1050]) ).

fof(f1043,plain,
    ( c3_1(a251)
    | ~ c0_1(a251)
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(resolution,[],[f406,f807]) ).

fof(f1042,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_40
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1034,f806,f398,f802,f798]) ).

fof(f1034,plain,
    ( c1_1(a251)
    | c3_1(a251)
    | ~ spl0_40
    | ~ spl0_127 ),
    inference(resolution,[],[f399,f807]) ).

fof(f1024,plain,
    ( ~ spl0_102
    | spl0_101
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1018,f697,f384,f689,f693]) ).

fof(f693,plain,
    ( spl0_102
  <=> c3_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f689,plain,
    ( spl0_101
  <=> c1_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f697,plain,
    ( spl0_103
  <=> c0_1(a269) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1018,plain,
    ( c1_1(a269)
    | ~ c3_1(a269)
    | ~ spl0_36
    | ~ spl0_103 ),
    inference(resolution,[],[f385,f698]) ).

fof(f698,plain,
    ( c0_1(a269)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f1012,plain,
    ( spl0_162
    | spl0_98
    | ~ spl0_29
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1008,f680,f355,f676,f971]) ).

fof(f1008,plain,
    ( c2_1(a271)
    | c3_1(a271)
    | ~ spl0_29
    | ~ spl0_99 ),
    inference(resolution,[],[f356,f681]) ).

fof(f1004,plain,
    ( ~ spl0_164
    | ~ spl0_76
    | ~ spl0_19
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f999,f571,f320,f575,f1001]) ).

fof(f999,plain,
    ( ~ c0_1(a237)
    | ~ c3_1(a237)
    | ~ spl0_19
    | ~ spl0_75 ),
    inference(resolution,[],[f572,f321]) ).

fof(f572,plain,
    ( c1_1(a237)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f997,plain,
    ( ~ spl0_100
    | spl0_98
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f992,f680,f380,f676,f684]) ).

fof(f380,plain,
    ( spl0_35
  <=> ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f992,plain,
    ( c2_1(a271)
    | ~ c0_1(a271)
    | ~ spl0_35
    | ~ spl0_99 ),
    inference(resolution,[],[f381,f681]) ).

fof(f381,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f985,plain,
    ( ~ spl0_65
    | spl0_163
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f977,f532,f373,f983,f528]) ).

fof(f977,plain,
    ( c1_1(a246)
    | ~ c3_1(a246)
    | ~ spl0_33
    | ~ spl0_66 ),
    inference(resolution,[],[f374,f533]) ).

fof(f974,plain,
    ( ~ spl0_162
    | ~ spl0_100
    | ~ spl0_19
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f969,f680,f320,f684,f971]) ).

fof(f969,plain,
    ( ~ c0_1(a271)
    | ~ c3_1(a271)
    | ~ spl0_19
    | ~ spl0_99 ),
    inference(resolution,[],[f681,f321]) ).

fof(f967,plain,
    ( spl0_92
    | spl0_161
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f965,f653,f355,f961,f649]) ).

fof(f653,plain,
    ( spl0_93
  <=> c1_1(a276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f965,plain,
    ( c2_1(a276)
    | c3_1(a276)
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(resolution,[],[f356,f654]) ).

fof(f654,plain,
    ( c1_1(a276)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f930,plain,
    ( ~ spl0_7
    | spl0_154 ),
    inference(avatar_split_clause,[],[f16,f928,f275]) ).

fof(f275,plain,
    ( spl0_7
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f16,plain,
    ( c1_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp9
      | hskp11
      | hskp5 )
    & ( hskp24
      | hskp13
      | hskp23 )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp24
      | hskp13
      | hskp8 )
    & ( hskp11
      | hskp13
      | hskp8 )
    & ( hskp15
      | hskp7
      | hskp8 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( hskp5
      | hskp18
      | hskp22 )
    & ( hskp2
      | hskp22
      | hskp28 )
    & ( hskp27
      | hskp24
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp31
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp19
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp19
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp31
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp25
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X22] :
          ( ~ c2_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X35] :
          ( ~ c1_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp16
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X45] :
          ( ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp11
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp22
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X58] :
          ( c3_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp18
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp31
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c3_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp7
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp31
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X94] :
          ( ~ c0_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c3_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( c3_1(X115)
          | c2_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a246)
        & c2_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a243)
        & c1_1(a243)
        & c0_1(a243)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c2_1(a240)
        & c1_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a237)
        & c1_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a322)
        & ~ c2_1(a322)
        & ~ c1_1(a322)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a314)
        & ~ c0_1(a314)
        & c2_1(a314)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a282)
        & ~ c0_1(a282)
        & c3_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a281)
        & c3_1(a281)
        & c1_1(a281)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a276)
        & c1_1(a276)
        & c0_1(a276)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a274)
        & c2_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a271)
        & c1_1(a271)
        & c0_1(a271)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a269)
        & c3_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a265)
        & c2_1(a265)
        & c1_1(a265)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a259)
        & ~ c2_1(a259)
        & c1_1(a259)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a258)
        & ~ c2_1(a258)
        & ~ c0_1(a258)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a253)
        & ~ c0_1(a253)
        & c1_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a252)
        & ~ c1_1(a252)
        & c0_1(a252)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a251)
        & ~ c1_1(a251)
        & c2_1(a251)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a248)
        & ~ c0_1(a248)
        & c3_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a245)
        & c2_1(a245)
        & c0_1(a245)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a244)
        & ~ c1_1(a244)
        & c0_1(a244)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a242)
        & ~ c0_1(a242)
        & c2_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a241)
        & c3_1(a241)
        & c2_1(a241)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a239)
        & ~ c1_1(a239)
        & c3_1(a239)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a238)
        & ~ c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a236)
        & c3_1(a236)
        & c1_1(a236)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a234)
        & ~ c0_1(a234)
        & c1_1(a234)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp9
      | hskp11
      | hskp5 )
    & ( hskp24
      | hskp13
      | hskp23 )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp24
      | hskp13
      | hskp8 )
    & ( hskp11
      | hskp13
      | hskp8 )
    & ( hskp15
      | hskp7
      | hskp8 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( hskp5
      | hskp18
      | hskp22 )
    & ( hskp2
      | hskp22
      | hskp28 )
    & ( hskp27
      | hskp24
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp31
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp19
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp19
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp31
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp22
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp25
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp12
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp10
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X22] :
          ( ~ c2_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X35] :
          ( ~ c1_1(X35)
          | c3_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp16
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X45] :
          ( ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp11
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c0_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp22
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X58] :
          ( c3_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp18
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp31
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c3_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp7
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp31
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X94] :
          ( ~ c0_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c3_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( c3_1(X115)
          | c2_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a246)
        & c2_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a243)
        & c1_1(a243)
        & c0_1(a243)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c2_1(a240)
        & c1_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a237)
        & c1_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a322)
        & ~ c2_1(a322)
        & ~ c1_1(a322)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a314)
        & ~ c0_1(a314)
        & c2_1(a314)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a282)
        & ~ c0_1(a282)
        & c3_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a281)
        & c3_1(a281)
        & c1_1(a281)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a276)
        & c1_1(a276)
        & c0_1(a276)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a274)
        & c2_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a271)
        & c1_1(a271)
        & c0_1(a271)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a269)
        & c3_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a265)
        & c2_1(a265)
        & c1_1(a265)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a259)
        & ~ c2_1(a259)
        & c1_1(a259)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a258)
        & ~ c2_1(a258)
        & ~ c0_1(a258)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a253)
        & ~ c0_1(a253)
        & c1_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a252)
        & ~ c1_1(a252)
        & c0_1(a252)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a251)
        & ~ c1_1(a251)
        & c2_1(a251)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a248)
        & ~ c0_1(a248)
        & c3_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a245)
        & c2_1(a245)
        & c0_1(a245)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a244)
        & ~ c1_1(a244)
        & c0_1(a244)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a242)
        & ~ c0_1(a242)
        & c2_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a241)
        & c3_1(a241)
        & c2_1(a241)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a239)
        & ~ c1_1(a239)
        & c3_1(a239)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a238)
        & ~ c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a236)
        & c3_1(a236)
        & c1_1(a236)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a234)
        & ~ c0_1(a234)
        & c1_1(a234)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp9
      | hskp11
      | hskp5 )
    & ( hskp24
      | hskp13
      | hskp23 )
    & ( hskp14
      | hskp13
      | hskp2 )
    & ( hskp11
      | hskp18
      | hskp19 )
    & ( hskp24
      | hskp13
      | hskp8 )
    & ( hskp11
      | hskp13
      | hskp8 )
    & ( hskp15
      | hskp7
      | hskp8 )
    & ( hskp9
      | hskp19
      | hskp8 )
    & ( hskp5
      | hskp18
      | hskp22 )
    & ( hskp2
      | hskp22
      | hskp28 )
    & ( hskp27
      | hskp24
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp4
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp4
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp21
      | hskp31
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp29
      | hskp19
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp26
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp15
      | hskp19
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp4
      | hskp31
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp2
      | hskp20
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp20
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp7
      | hskp22
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c1_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp5
      | hskp25
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp7
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp3
      | hskp12
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp5
      | hskp10
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp17
      | hskp9
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c3_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp5
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp25
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp29
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp11
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c1_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp29
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp10
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c3_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp11
      | hskp16
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp18
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp4
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp20
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c0_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp24
      | hskp11
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp24
      | hskp23
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp17
      | hskp19
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp31
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | ~ c0_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp18
      | hskp22
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp11
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp21
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp13
      | hskp8
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp20
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | hskp19
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp4
      | hskp28
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp18
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp10
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp17
      | hskp29
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp14
      | hskp31
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp16
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp15
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp14
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c1_1(X76)
            | c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp9
      | hskp30
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp11
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp13
      | hskp12
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp11
      | hskp7
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp10
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp9
      | hskp31
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp31
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp8
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c0_1(X90)
            | c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp7
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp30
      | ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | c3_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp6
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | c2_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp5
      | hskp29
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp4
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | ~ c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp3
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp28
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp2
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c0_1(X105)
            | c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c1_1(X107)
            | ~ c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c1_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c3_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp1
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c2_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c2_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( ( c3_1(a246)
        & c2_1(a246)
        & c0_1(a246)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a243)
        & c1_1(a243)
        & c0_1(a243)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a240)
        & c2_1(a240)
        & c1_1(a240)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a237)
        & c1_1(a237)
        & c0_1(a237)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a322)
        & ~ c2_1(a322)
        & ~ c1_1(a322)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a314)
        & ~ c0_1(a314)
        & c2_1(a314)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a294)
        & c2_1(a294)
        & c1_1(a294)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a282)
        & ~ c0_1(a282)
        & c3_1(a282)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a281)
        & c3_1(a281)
        & c1_1(a281)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a276)
        & c1_1(a276)
        & c0_1(a276)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a274)
        & c2_1(a274)
        & c0_1(a274)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a271)
        & c1_1(a271)
        & c0_1(a271)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a269)
        & c3_1(a269)
        & c0_1(a269)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a265)
        & c2_1(a265)
        & c1_1(a265)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a263)
        & ~ c1_1(a263)
        & ~ c0_1(a263)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a259)
        & ~ c2_1(a259)
        & c1_1(a259)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a258)
        & ~ c2_1(a258)
        & ~ c0_1(a258)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a257)
        & c3_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a253)
        & ~ c0_1(a253)
        & c1_1(a253)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a252)
        & ~ c1_1(a252)
        & c0_1(a252)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a251)
        & ~ c1_1(a251)
        & c2_1(a251)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a249)
        & c3_1(a249)
        & c0_1(a249)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a248)
        & ~ c0_1(a248)
        & c3_1(a248)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a245)
        & c2_1(a245)
        & c0_1(a245)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a244)
        & ~ c1_1(a244)
        & c0_1(a244)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a242)
        & ~ c0_1(a242)
        & c2_1(a242)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a241)
        & c3_1(a241)
        & c2_1(a241)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a239)
        & ~ c1_1(a239)
        & c3_1(a239)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a238)
        & ~ c2_1(a238)
        & c0_1(a238)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a236)
        & c3_1(a236)
        & c1_1(a236)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a235)
        & ~ c1_1(a235)
        & ~ c0_1(a235)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a234)
        & ~ c0_1(a234)
        & c1_1(a234)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp9
          | hskp11
          | hskp5 )
        & ( hskp24
          | hskp13
          | hskp23 )
        & ( hskp14
          | hskp13
          | hskp2 )
        & ( hskp11
          | hskp18
          | hskp19 )
        & ( hskp24
          | hskp13
          | hskp8 )
        & ( hskp11
          | hskp13
          | hskp8 )
        & ( hskp15
          | hskp7
          | hskp8 )
        & ( hskp9
          | hskp19
          | hskp8 )
        & ( hskp5
          | hskp18
          | hskp22 )
        & ( hskp2
          | hskp22
          | hskp28 )
        & ( hskp27
          | hskp24
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp4
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp4
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp21
          | hskp31
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp29
          | hskp19
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp26
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp15
          | hskp19
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp4
          | hskp31
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp2
          | hskp20
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp20
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp7
          | hskp22
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp5
          | hskp25
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp7
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp3
          | hskp12
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp5
          | hskp10
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp17
          | hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp5
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp25
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp29
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c1_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp29
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp10
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp11
          | hskp16
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp18
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp4
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp20
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp24
          | hskp11
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp24
          | hskp23
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp17
          | hskp19
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp31
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c0_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp18
          | hskp22
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp11
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp21
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp13
          | hskp8
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp20
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp19
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp4
          | hskp28
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp18
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp10
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp17
          | hskp29
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp14
          | hskp31
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp16
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp15
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp14
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp9
          | hskp30
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp11
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp13
          | hskp12
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp11
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp10
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp9
          | hskp31
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp31
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp8
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp7
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp30
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp6
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp5
          | hskp29
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp4
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp28
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp2
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c3_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp1
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c2_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c2_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( ( c3_1(a246)
            & c2_1(a246)
            & c0_1(a246)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a243)
            & c1_1(a243)
            & c0_1(a243)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a240)
            & c2_1(a240)
            & c1_1(a240)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a237)
            & c1_1(a237)
            & c0_1(a237)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a322)
            & ~ c2_1(a322)
            & ~ c1_1(a322)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a314)
            & ~ c0_1(a314)
            & c2_1(a314)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a294)
            & c2_1(a294)
            & c1_1(a294)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a282)
            & ~ c0_1(a282)
            & c3_1(a282)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a281)
            & c3_1(a281)
            & c1_1(a281)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a276)
            & c1_1(a276)
            & c0_1(a276)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a274)
            & c2_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a271)
            & c1_1(a271)
            & c0_1(a271)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a269)
            & c3_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a265)
            & c2_1(a265)
            & c1_1(a265)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a263)
            & ~ c1_1(a263)
            & ~ c0_1(a263)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a259)
            & ~ c2_1(a259)
            & c1_1(a259)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a258)
            & ~ c2_1(a258)
            & ~ c0_1(a258)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a257)
            & c3_1(a257)
            & c2_1(a257)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a253)
            & ~ c0_1(a253)
            & c1_1(a253)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a252)
            & ~ c1_1(a252)
            & c0_1(a252)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a251)
            & ~ c1_1(a251)
            & c2_1(a251)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a249)
            & c3_1(a249)
            & c0_1(a249)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a248)
            & ~ c0_1(a248)
            & c3_1(a248)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a245)
            & c2_1(a245)
            & c0_1(a245)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a244)
            & ~ c1_1(a244)
            & c0_1(a244)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a242)
            & ~ c0_1(a242)
            & c2_1(a242)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a241)
            & c3_1(a241)
            & c2_1(a241)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a239)
            & ~ c1_1(a239)
            & c3_1(a239)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a238)
            & ~ c2_1(a238)
            & c0_1(a238)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a236)
            & c3_1(a236)
            & c1_1(a236)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a235)
            & ~ c1_1(a235)
            & ~ c0_1(a235)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a234)
            & ~ c0_1(a234)
            & c1_1(a234)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp9
          | hskp11
          | hskp5 )
        & ( hskp24
          | hskp13
          | hskp23 )
        & ( hskp14
          | hskp13
          | hskp2 )
        & ( hskp11
          | hskp18
          | hskp19 )
        & ( hskp24
          | hskp13
          | hskp8 )
        & ( hskp11
          | hskp13
          | hskp8 )
        & ( hskp15
          | hskp7
          | hskp8 )
        & ( hskp9
          | hskp19
          | hskp8 )
        & ( hskp5
          | hskp18
          | hskp22 )
        & ( hskp2
          | hskp22
          | hskp28 )
        & ( hskp27
          | hskp24
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp4
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp21
          | hskp31
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | c3_1(X112) ) ) )
        & ( hskp29
          | hskp19
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp26
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp15
          | hskp19
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp4
          | hskp31
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp2
          | hskp20
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp20
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp7
          | hskp22
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c2_1(X103) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp5
          | hskp25
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp7
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp3
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp5
          | hskp10
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp17
          | hskp9
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp5
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp25
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp29
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp11
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp29
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp11
          | hskp16
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp18
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp20
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp24
          | hskp11
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp24
          | hskp23
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp17
          | hskp19
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp31
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp18
          | hskp22
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp21
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp13
          | hskp8
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp20
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp16
          | hskp19
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp4
          | hskp28
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp9
          | hskp18
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp10
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp17
          | hskp29
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp14
          | hskp31
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp16
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c3_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp15
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp14
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp9
          | hskp30
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp11
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp13
          | hskp12
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp11
          | hskp7
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp9
          | hskp31
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp31
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp8
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp7
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp30
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp5
          | hskp29
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp3
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp28
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp2
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a246)
            & c2_1(a246)
            & c0_1(a246)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a243)
            & c1_1(a243)
            & c0_1(a243)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a240)
            & c2_1(a240)
            & c1_1(a240)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a237)
            & c1_1(a237)
            & c0_1(a237)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a322)
            & ~ c2_1(a322)
            & ~ c1_1(a322)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a314)
            & ~ c0_1(a314)
            & c2_1(a314)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a294)
            & c2_1(a294)
            & c1_1(a294)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a282)
            & ~ c0_1(a282)
            & c3_1(a282)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a281)
            & c3_1(a281)
            & c1_1(a281)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a276)
            & c1_1(a276)
            & c0_1(a276)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a274)
            & c2_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a271)
            & c1_1(a271)
            & c0_1(a271)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a269)
            & c3_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a265)
            & c2_1(a265)
            & c1_1(a265)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a263)
            & ~ c1_1(a263)
            & ~ c0_1(a263)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a259)
            & ~ c2_1(a259)
            & c1_1(a259)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a258)
            & ~ c2_1(a258)
            & ~ c0_1(a258)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a257)
            & c3_1(a257)
            & c2_1(a257)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a253)
            & ~ c0_1(a253)
            & c1_1(a253)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a252)
            & ~ c1_1(a252)
            & c0_1(a252)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a251)
            & ~ c1_1(a251)
            & c2_1(a251)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a249)
            & c3_1(a249)
            & c0_1(a249)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a248)
            & ~ c0_1(a248)
            & c3_1(a248)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a245)
            & c2_1(a245)
            & c0_1(a245)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a244)
            & ~ c1_1(a244)
            & c0_1(a244)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a242)
            & ~ c0_1(a242)
            & c2_1(a242)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a241)
            & c3_1(a241)
            & c2_1(a241)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a239)
            & ~ c1_1(a239)
            & c3_1(a239)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a238)
            & ~ c2_1(a238)
            & c0_1(a238)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a236)
            & c3_1(a236)
            & c1_1(a236)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a235)
            & ~ c1_1(a235)
            & ~ c0_1(a235)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a234)
            & ~ c0_1(a234)
            & c1_1(a234)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp9
        | hskp11
        | hskp5 )
      & ( hskp24
        | hskp13
        | hskp23 )
      & ( hskp14
        | hskp13
        | hskp2 )
      & ( hskp11
        | hskp18
        | hskp19 )
      & ( hskp24
        | hskp13
        | hskp8 )
      & ( hskp11
        | hskp13
        | hskp8 )
      & ( hskp15
        | hskp7
        | hskp8 )
      & ( hskp9
        | hskp19
        | hskp8 )
      & ( hskp5
        | hskp18
        | hskp22 )
      & ( hskp2
        | hskp22
        | hskp28 )
      & ( hskp27
        | hskp24
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp4
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp21
        | hskp31
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | c3_1(X112) ) ) )
      & ( hskp29
        | hskp19
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp26
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c1_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp15
        | hskp19
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp4
        | hskp31
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp2
        | hskp20
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp20
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp7
        | hskp22
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | c3_1(X103)
              | c2_1(X103) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c1_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp5
        | hskp25
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp7
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp3
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp5
        | hskp10
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp17
        | hskp9
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp5
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp25
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | c3_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp29
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp11
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c1_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp29
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp10
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp11
        | hskp16
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp18
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp4
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp20
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp24
        | hskp11
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp24
        | hskp23
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp17
        | hskp19
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp31
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c0_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp18
        | hskp22
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp11
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp21
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp13
        | hskp8
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp20
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c0_1(X55)
              | c3_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp16
        | hskp19
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp4
        | hskp28
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp9
        | hskp18
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp10
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp17
        | hskp29
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp14
        | hskp31
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp16
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c1_1(X46)
              | c3_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp15
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp14
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp9
        | hskp30
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp11
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp13
        | hskp12
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp11
        | hskp7
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp9
        | hskp31
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp31
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp8
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp7
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp30
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c3_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp6
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp5
        | hskp29
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c2_1(X17)
              | ~ c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp3
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c1_1(X15)
              | ~ c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp28
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp2
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c1_1(X6)
              | c2_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a246)
          & c2_1(a246)
          & c0_1(a246)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a243)
          & c1_1(a243)
          & c0_1(a243)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a240)
          & c2_1(a240)
          & c1_1(a240)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a237)
          & c1_1(a237)
          & c0_1(a237)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a322)
          & ~ c2_1(a322)
          & ~ c1_1(a322)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a314)
          & ~ c0_1(a314)
          & c2_1(a314)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a294)
          & c2_1(a294)
          & c1_1(a294)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a282)
          & ~ c0_1(a282)
          & c3_1(a282)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a281)
          & c3_1(a281)
          & c1_1(a281)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a276)
          & c1_1(a276)
          & c0_1(a276)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a274)
          & c2_1(a274)
          & c0_1(a274)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a271)
          & c1_1(a271)
          & c0_1(a271)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a269)
          & c3_1(a269)
          & c0_1(a269)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a265)
          & c2_1(a265)
          & c1_1(a265)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a263)
          & ~ c1_1(a263)
          & ~ c0_1(a263)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a259)
          & ~ c2_1(a259)
          & c1_1(a259)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a258)
          & ~ c2_1(a258)
          & ~ c0_1(a258)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a257)
          & c3_1(a257)
          & c2_1(a257)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a253)
          & ~ c0_1(a253)
          & c1_1(a253)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a252)
          & ~ c1_1(a252)
          & c0_1(a252)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a251)
          & ~ c1_1(a251)
          & c2_1(a251)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a249)
          & c3_1(a249)
          & c0_1(a249)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a248)
          & ~ c0_1(a248)
          & c3_1(a248)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a245)
          & c2_1(a245)
          & c0_1(a245)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a244)
          & ~ c1_1(a244)
          & c0_1(a244)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a242)
          & ~ c0_1(a242)
          & c2_1(a242)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a241)
          & c3_1(a241)
          & c2_1(a241)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a239)
          & ~ c1_1(a239)
          & c3_1(a239)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a238)
          & ~ c2_1(a238)
          & c0_1(a238)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a236)
          & c3_1(a236)
          & c1_1(a236)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a235)
          & ~ c1_1(a235)
          & ~ c0_1(a235)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a234)
          & ~ c0_1(a234)
          & c1_1(a234)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.OAEDDOHbal/Vampire---4.8_31267',co1) ).

fof(f926,plain,
    ( ~ spl0_7
    | spl0_153 ),
    inference(avatar_split_clause,[],[f17,f924,f275]) ).

fof(f17,plain,
    ( c3_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_7
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f18,f920,f275]) ).

fof(f18,plain,
    ( ~ c0_1(a236)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_38
    | spl0_151 ),
    inference(avatar_split_clause,[],[f20,f915,f390]) ).

fof(f390,plain,
    ( spl0_38
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f20,plain,
    ( c0_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( ~ spl0_38
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f21,f911,f390]) ).

fof(f21,plain,
    ( ~ c2_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_38
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f22,f907,f390]) ).

fof(f22,plain,
    ( ~ c3_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_20
    | spl0_148 ),
    inference(avatar_split_clause,[],[f24,f902,f323]) ).

fof(f323,plain,
    ( spl0_20
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f24,plain,
    ( c3_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f900,plain,
    ( ~ spl0_20
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f25,f898,f323]) ).

fof(f25,plain,
    ( ~ c1_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_20
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f26,f894,f323]) ).

fof(f26,plain,
    ( ~ c2_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_1
    | spl0_145 ),
    inference(avatar_split_clause,[],[f28,f888,f255]) ).

fof(f255,plain,
    ( spl0_1
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f28,plain,
    ( c2_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_1
    | spl0_144 ),
    inference(avatar_split_clause,[],[f29,f884,f255]) ).

fof(f29,plain,
    ( c3_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_1
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f30,f880,f255]) ).

fof(f30,plain,
    ( ~ c0_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f35,f310,f294]) ).

fof(f294,plain,
    ( spl0_12
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f310,plain,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_12
    | spl0_139 ),
    inference(avatar_split_clause,[],[f36,f861,f294]) ).

fof(f36,plain,
    ( c0_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( ~ spl0_12
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f37,f857,f294]) ).

fof(f37,plain,
    ( ~ c1_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_12
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f38,f853,f294]) ).

fof(f38,plain,
    ( ~ c2_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f850,plain,
    ( ~ spl0_11
    | spl0_16 ),
    inference(avatar_split_clause,[],[f39,f310,f289]) ).

fof(f289,plain,
    ( spl0_11
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f849,plain,
    ( ~ spl0_11
    | spl0_136 ),
    inference(avatar_split_clause,[],[f40,f847,f289]) ).

fof(f40,plain,
    ( c0_1(a245)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_11
    | spl0_135 ),
    inference(avatar_split_clause,[],[f41,f843,f289]) ).

fof(f41,plain,
    ( c2_1(a245)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_11
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f42,f839,f289]) ).

fof(f42,plain,
    ( ~ c1_1(a245)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_3
    | spl0_133 ),
    inference(avatar_split_clause,[],[f44,f833,f261]) ).

fof(f261,plain,
    ( spl0_3
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f44,plain,
    ( c3_1(a248)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_3
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f45,f829,f261]) ).

fof(f45,plain,
    ( ~ c0_1(a248)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_3
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f46,f825,f261]) ).

fof(f46,plain,
    ( ~ c1_1(a248)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_39
    | spl0_130 ),
    inference(avatar_split_clause,[],[f48,f820,f394]) ).

fof(f394,plain,
    ( spl0_39
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f48,plain,
    ( c0_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_39
    | spl0_129 ),
    inference(avatar_split_clause,[],[f49,f816,f394]) ).

fof(f49,plain,
    ( c3_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_39
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f50,f812,f394]) ).

fof(f50,plain,
    ( ~ c2_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_2
    | spl0_127 ),
    inference(avatar_split_clause,[],[f52,f806,f258]) ).

fof(f258,plain,
    ( spl0_2
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f52,plain,
    ( c2_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f53,f802,f258]) ).

fof(f53,plain,
    ( ~ c1_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( ~ spl0_2
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f54,f798,f258]) ).

fof(f54,plain,
    ( ~ c3_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_37
    | spl0_124 ),
    inference(avatar_split_clause,[],[f56,f793,f387]) ).

fof(f387,plain,
    ( spl0_37
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f56,plain,
    ( c0_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f791,plain,
    ( ~ spl0_37
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f57,f789,f387]) ).

fof(f57,plain,
    ( ~ c1_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_37
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f58,f785,f387]) ).

fof(f58,plain,
    ( ~ c3_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( ~ spl0_5
    | spl0_121 ),
    inference(avatar_split_clause,[],[f60,f779,f268]) ).

fof(f268,plain,
    ( spl0_5
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f60,plain,
    ( c1_1(a253)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_5
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f61,f775,f268]) ).

fof(f61,plain,
    ( ~ c0_1(a253)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_5
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f62,f771,f268]) ).

fof(f62,plain,
    ( ~ c3_1(a253)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_8
    | spl0_118 ),
    inference(avatar_split_clause,[],[f64,f765,f278]) ).

fof(f278,plain,
    ( spl0_8
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f64,plain,
    ( c2_1(a257)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_8
    | spl0_117 ),
    inference(avatar_split_clause,[],[f65,f761,f278]) ).

fof(f65,plain,
    ( c3_1(a257)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f759,plain,
    ( ~ spl0_8
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f66,f757,f278]) ).

fof(f66,plain,
    ( ~ c1_1(a257)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_13
    | spl0_16 ),
    inference(avatar_split_clause,[],[f67,f310,f297]) ).

fof(f297,plain,
    ( spl0_13
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f67,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f753,plain,
    ( ~ spl0_13
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f68,f751,f297]) ).

fof(f68,plain,
    ( ~ c0_1(a258)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_13
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f69,f747,f297]) ).

fof(f69,plain,
    ( ~ c2_1(a258)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_13
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f70,f743,f297]) ).

fof(f70,plain,
    ( ~ c3_1(a258)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_46
    | spl0_112 ),
    inference(avatar_split_clause,[],[f72,f738,f425]) ).

fof(f425,plain,
    ( spl0_46
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f72,plain,
    ( c1_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_46
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f73,f734,f425]) ).

fof(f73,plain,
    ( ~ c2_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f732,plain,
    ( ~ spl0_46
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f74,f730,f425]) ).

fof(f74,plain,
    ( ~ c3_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_41
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f76,f725,f401]) ).

fof(f401,plain,
    ( spl0_41
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f76,plain,
    ( ~ c0_1(a263)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_41
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f77,f721,f401]) ).

fof(f77,plain,
    ( ~ c1_1(a263)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( ~ spl0_41
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f78,f717,f401]) ).

fof(f78,plain,
    ( ~ c3_1(a263)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_10
    | spl0_106 ),
    inference(avatar_split_clause,[],[f80,f711,f285]) ).

fof(f285,plain,
    ( spl0_10
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f80,plain,
    ( c1_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_10
    | spl0_105 ),
    inference(avatar_split_clause,[],[f81,f707,f285]) ).

fof(f81,plain,
    ( c2_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f705,plain,
    ( ~ spl0_10
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f82,f703,f285]) ).

fof(f82,plain,
    ( ~ c0_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f699,plain,
    ( ~ spl0_9
    | spl0_103 ),
    inference(avatar_split_clause,[],[f84,f697,f282]) ).

fof(f282,plain,
    ( spl0_9
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f84,plain,
    ( c0_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl0_9
    | spl0_102 ),
    inference(avatar_split_clause,[],[f85,f693,f282]) ).

fof(f85,plain,
    ( c3_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_9
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f86,f689,f282]) ).

fof(f86,plain,
    ( ~ c1_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_30
    | spl0_100 ),
    inference(avatar_split_clause,[],[f88,f684,f360]) ).

fof(f360,plain,
    ( spl0_30
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f88,plain,
    ( c0_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_30
    | spl0_99 ),
    inference(avatar_split_clause,[],[f89,f680,f360]) ).

fof(f89,plain,
    ( c1_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f678,plain,
    ( ~ spl0_30
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f90,f676,f360]) ).

fof(f90,plain,
    ( ~ c2_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_14
    | spl0_94 ),
    inference(avatar_split_clause,[],[f96,f657,f302]) ).

fof(f302,plain,
    ( spl0_14
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f96,plain,
    ( c0_1(a276)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_14
    | spl0_93 ),
    inference(avatar_split_clause,[],[f97,f653,f302]) ).

fof(f97,plain,
    ( c1_1(a276)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_14
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f98,f649,f302]) ).

fof(f98,plain,
    ( ~ c3_1(a276)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_4
    | spl0_91 ),
    inference(avatar_split_clause,[],[f100,f643,f265]) ).

fof(f265,plain,
    ( spl0_4
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f100,plain,
    ( c1_1(a281)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f641,plain,
    ( ~ spl0_4
    | spl0_90 ),
    inference(avatar_split_clause,[],[f101,f639,f265]) ).

fof(f101,plain,
    ( c3_1(a281)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_4
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f102,f635,f265]) ).

fof(f102,plain,
    ( ~ c2_1(a281)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_6
    | spl0_88 ),
    inference(avatar_split_clause,[],[f104,f629,f271]) ).

fof(f271,plain,
    ( spl0_6
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f104,plain,
    ( c3_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_6
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f105,f625,f271]) ).

fof(f105,plain,
    ( ~ c0_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( ~ spl0_6
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f621,f271]) ).

fof(f106,plain,
    ( ~ c2_1(a282)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_34
    | spl0_85 ),
    inference(avatar_split_clause,[],[f108,f616,f376]) ).

fof(f376,plain,
    ( spl0_34
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f108,plain,
    ( c1_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f614,plain,
    ( ~ spl0_34
    | spl0_84 ),
    inference(avatar_split_clause,[],[f109,f612,f376]) ).

fof(f109,plain,
    ( c2_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f610,plain,
    ( ~ spl0_34
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f608,f376]) ).

fof(f110,plain,
    ( ~ c3_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_28
    | spl0_82 ),
    inference(avatar_split_clause,[],[f112,f603,f351]) ).

fof(f351,plain,
    ( spl0_28
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f112,plain,
    ( c2_1(a314)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_28
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f113,f599,f351]) ).

fof(f113,plain,
    ( ~ c0_1(a314)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_28
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f114,f595,f351]) ).

fof(f114,plain,
    ( ~ c3_1(a314)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_18
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f116,f590,f316]) ).

fof(f316,plain,
    ( spl0_18
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f116,plain,
    ( ~ c1_1(a322)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_18
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f117,f586,f316]) ).

fof(f117,plain,
    ( ~ c2_1(a322)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( ~ spl0_18
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f118,f582,f316]) ).

fof(f118,plain,
    ( ~ c3_1(a322)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f577,plain,
    ( ~ spl0_15
    | spl0_76 ),
    inference(avatar_split_clause,[],[f120,f575,f306]) ).

fof(f306,plain,
    ( spl0_15
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f120,plain,
    ( c0_1(a237)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_15
    | spl0_75 ),
    inference(avatar_split_clause,[],[f121,f571,f306]) ).

fof(f121,plain,
    ( c1_1(a237)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_15
    | spl0_74 ),
    inference(avatar_split_clause,[],[f122,f567,f306]) ).

fof(f122,plain,
    ( c2_1(a237)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( ~ spl0_26
    | spl0_73 ),
    inference(avatar_split_clause,[],[f124,f562,f344]) ).

fof(f344,plain,
    ( spl0_26
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f124,plain,
    ( c1_1(a240)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( ~ spl0_26
    | spl0_72 ),
    inference(avatar_split_clause,[],[f125,f558,f344]) ).

fof(f125,plain,
    ( c2_1(a240)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( ~ spl0_26
    | spl0_71 ),
    inference(avatar_split_clause,[],[f126,f554,f344]) ).

fof(f126,plain,
    ( c3_1(a240)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( ~ spl0_57
    | spl0_70 ),
    inference(avatar_split_clause,[],[f128,f549,f482]) ).

fof(f482,plain,
    ( spl0_57
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f128,plain,
    ( c0_1(a243)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( ~ spl0_57
    | spl0_69 ),
    inference(avatar_split_clause,[],[f129,f545,f482]) ).

fof(f129,plain,
    ( c1_1(a243)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( ~ spl0_57
    | spl0_68 ),
    inference(avatar_split_clause,[],[f130,f541,f482]) ).

fof(f130,plain,
    ( c3_1(a243)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( ~ spl0_23
    | spl0_66 ),
    inference(avatar_split_clause,[],[f133,f532,f334]) ).

fof(f334,plain,
    ( spl0_23
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f133,plain,
    ( c2_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( ~ spl0_23
    | spl0_65 ),
    inference(avatar_split_clause,[],[f134,f528,f334]) ).

fof(f134,plain,
    ( c3_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( spl0_60
    | ~ spl0_16
    | spl0_43
    | spl0_57 ),
    inference(avatar_split_clause,[],[f224,f482,f410,f310,f500]) ).

fof(f224,plain,
    ! [X94,X95] :
      ( hskp30
      | ~ c0_1(X94)
      | c3_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | c1_1(X95)
      | c0_1(X95) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X94,X95] :
      ( hskp30
      | ~ c0_1(X94)
      | c3_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | c1_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f502,plain,
    ( spl0_60
    | ~ spl0_16
    | spl0_35
    | spl0_12 ),
    inference(avatar_split_clause,[],[f225,f294,f380,f310,f500]) ).

fof(f225,plain,
    ! [X92,X93] :
      ( hskp7
      | ~ c1_1(X92)
      | ~ c0_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X92,X93] :
      ( hskp7
      | ~ c1_1(X92)
      | ~ c0_1(X92)
      | c2_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_59
    | ~ spl0_16
    | spl0_42
    | spl0_11 ),
    inference(avatar_split_clause,[],[f226,f289,f405,f310,f492]) ).

fof(f226,plain,
    ! [X90,X91] :
      ( hskp8
      | ~ c2_1(X90)
      | ~ c0_1(X90)
      | c3_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X90,X91] :
      ( hskp8
      | ~ c2_1(X90)
      | ~ c0_1(X90)
      | c3_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( ~ spl0_16
    | spl0_59
    | spl0_39 ),
    inference(avatar_split_clause,[],[f150,f394,f492,f310]) ).

fof(f150,plain,
    ! [X87] :
      ( hskp10
      | ~ c2_1(X87)
      | c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( ~ spl0_16
    | spl0_58
    | spl0_37
    | spl0_5 ),
    inference(avatar_split_clause,[],[f152,f268,f387,f488,f310]) ).

fof(f152,plain,
    ! [X85] :
      ( hskp13
      | hskp12
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_56
    | spl0_54
    | ~ spl0_16
    | spl0_31 ),
    inference(avatar_split_clause,[],[f227,f364,f310,f467,f479]) ).

fof(f227,plain,
    ! [X82,X83,X84] :
      ( ~ c3_1(X82)
      | ~ c0_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | c3_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X82,X83,X84] :
      ( ~ c3_1(X82)
      | ~ c0_1(X82)
      | c2_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_56
    | ~ spl0_16
    | spl0_54
    | spl0_2 ),
    inference(avatar_split_clause,[],[f228,f258,f467,f310,f479]) ).

fof(f228,plain,
    ! [X80,X81] :
      ( hskp11
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X80,X81] :
      ( hskp11
      | ~ c3_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( ~ spl0_16
    | spl0_56
    | spl0_57
    | spl0_3 ),
    inference(avatar_split_clause,[],[f155,f261,f482,f479,f310]) ).

fof(f155,plain,
    ! [X79] :
      ( hskp9
      | hskp30
      | c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( spl0_55
    | ~ spl0_16
    | spl0_36
    | spl0_13 ),
    inference(avatar_split_clause,[],[f231,f297,f384,f310,f473]) ).

fof(f231,plain,
    ! [X72,X73] :
      ( hskp15
      | ~ c3_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c2_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X72,X73] :
      ( hskp15
      | ~ c3_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_54
    | ~ spl0_16
    | spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f232,f425,f331,f310,f467]) ).

fof(f232,plain,
    ! [X70,X71] :
      ( hskp16
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f159,plain,
    ! [X70,X71] :
      ( hskp16
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_16
    | spl0_54
    | spl0_23
    | spl0_8 ),
    inference(avatar_split_clause,[],[f160,f278,f334,f467,f310]) ).

fof(f160,plain,
    ! [X69] :
      ( hskp14
      | hskp31
      | ~ c3_1(X69)
      | c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_53
    | ~ spl0_16
    | spl0_49
    | spl0_39 ),
    inference(avatar_split_clause,[],[f233,f394,f439,f310,f462]) ).

fof(f233,plain,
    ! [X66,X67] :
      ( hskp10
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | c0_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X66,X67] :
      ( hskp10
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | c0_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( ~ spl0_16
    | spl0_52
    | spl0_9
    | spl0_46 ),
    inference(avatar_split_clause,[],[f165,f425,f282,f457,f310]) ).

fof(f165,plain,
    ! [X63] :
      ( hskp16
      | hskp19
      | ~ c2_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_51
    | ~ spl0_16
    | spl0_42
    | spl0_30 ),
    inference(avatar_split_clause,[],[f234,f360,f405,f310,f452]) ).

fof(f234,plain,
    ! [X62,X61] :
      ( hskp20
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X62,X61] :
      ( hskp20
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( ~ spl0_16
    | spl0_51
    | spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f167,f268,f289,f452,f310]) ).

fof(f167,plain,
    ! [X60] :
      ( hskp13
      | hskp8
      | ~ c2_1(X60)
      | ~ c1_1(X60)
      | c0_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_50
    | ~ spl0_16
    | spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f236,f258,f313,f310,f446]) ).

fof(f236,plain,
    ! [X56,X57] :
      ( hskp11
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X56,X57] :
      ( hskp11
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_9
    | spl0_41 ),
    inference(avatar_split_clause,[],[f172,f401,f282,f439,f310]) ).

fof(f172,plain,
    ! [X52] :
      ( hskp17
      | hskp19
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f173,f271,f265,f439,f310]) ).

fof(f173,plain,
    ! [X51] :
      ( hskp24
      | hskp23
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f174,f271,f258,f439,f310]) ).

fof(f174,plain,
    ! [X50] :
      ( hskp24
      | hskp11
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( spl0_47
    | spl0_45
    | ~ spl0_16
    | spl0_36 ),
    inference(avatar_split_clause,[],[f238,f384,f310,f422,f430]) ).

fof(f238,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c0_1(X47)
      | c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_47
    | ~ spl0_16
    | spl0_40
    | spl0_30 ),
    inference(avatar_split_clause,[],[f239,f360,f398,f310,f430]) ).

fof(f239,plain,
    ! [X46,X45] :
      ( hskp20
      | ~ c2_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | c2_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X46,X45] :
      ( hskp20
      | ~ c2_1(X45)
      | c3_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_45
    | ~ spl0_16
    | spl0_44
    | spl0_10 ),
    inference(avatar_split_clause,[],[f241,f285,f415,f310,f422]) ).

fof(f241,plain,
    ! [X41,X42] :
      ( hskp18
      | ~ c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X41,X42] :
      ( hskp18
      | ~ c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f420,plain,
    ( spl0_44
    | spl0_29
    | ~ spl0_16
    | spl0_22 ),
    inference(avatar_split_clause,[],[f242,f331,f310,f355,f415]) ).

fof(f242,plain,
    ! [X38,X39,X37] :
      ( ~ c2_1(X37)
      | ~ c1_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | c3_1(X38)
      | c2_1(X38)
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X38,X39,X37] :
      ( ~ c2_1(X37)
      | ~ c1_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | c3_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | ~ c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_44
    | ~ spl0_16
    | spl0_29
    | spl0_39 ),
    inference(avatar_split_clause,[],[f243,f394,f355,f310,f415]) ).

fof(f243,plain,
    ! [X36,X35] :
      ( hskp10
      | ~ c1_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | c2_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X36,X35] :
      ( hskp10
      | ~ c1_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( spl0_44
    | ~ spl0_16
    | spl0_27
    | spl0_26 ),
    inference(avatar_split_clause,[],[f244,f344,f348,f310,f415]) ).

fof(f244,plain,
    ! [X34,X33] :
      ( hskp29
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | c2_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X34,X33] :
      ( hskp29
      | ~ c3_1(X33)
      | ~ c1_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( spl0_44
    | ~ spl0_16
    | spl0_22
    | spl0_2 ),
    inference(avatar_split_clause,[],[f245,f258,f331,f310,f415]) ).

fof(f245,plain,
    ! [X31,X32] :
      ( hskp11
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c2_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X31,X32] :
      ( hskp11
      | ~ c2_1(X31)
      | ~ c1_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( spl0_43
    | spl0_36
    | ~ spl0_16
    | spl0_31 ),
    inference(avatar_split_clause,[],[f246,f364,f310,f384,f410]) ).

fof(f246,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X28,X29,X30] :
      ( ~ c3_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c3_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( ~ spl0_16
    | spl0_43
    | spl0_26 ),
    inference(avatar_split_clause,[],[f185,f344,f410,f310]) ).

fof(f185,plain,
    ! [X27] :
      ( hskp29
      | ~ c0_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_40
    | ~ spl0_16
    | spl0_36
    | spl0_34 ),
    inference(avatar_split_clause,[],[f247,f376,f384,f310,f398]) ).

fof(f247,plain,
    ! [X26,X25] :
      ( hskp25
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X26,X25] :
      ( hskp25
      | ~ c3_1(X25)
      | ~ c0_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f407,plain,
    ( spl0_40
    | ~ spl0_16
    | spl0_42
    | spl0_1 ),
    inference(avatar_split_clause,[],[f248,f255,f405,f310,f398]) ).

fof(f248,plain,
    ! [X24,X23] :
      ( hskp5
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X24,X23] :
      ( hskp5
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_16
    | spl0_40
    | spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f188,f401,f261,f398,f310]) ).

fof(f188,plain,
    ! [X22] :
      ( hskp17
      | hskp9
      | ~ c2_1(X22)
      | c3_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( ~ spl0_16
    | spl0_36
    | spl0_39
    | spl0_1 ),
    inference(avatar_split_clause,[],[f189,f255,f394,f384,f310]) ).

fof(f189,plain,
    ! [X21] :
      ( hskp5
      | hskp10
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f392,plain,
    ( ~ spl0_16
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f190,f390,f387,f384,f310]) ).

fof(f190,plain,
    ! [X20] :
      ( hskp3
      | hskp12
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f378,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_34
    | spl0_1 ),
    inference(avatar_split_clause,[],[f192,f255,f376,f373,f310]) ).

fof(f192,plain,
    ! [X17] :
      ( hskp5
      | hskp25
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( spl0_32
    | spl0_27
    | ~ spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f250,f320,f310,f348,f368]) ).

fof(f250,plain,
    ! [X16,X14,X15] :
      ( ~ c3_1(X14)
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ! [X16,X14,X15] :
      ( ~ c3_1(X14)
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( spl0_29
    | ~ spl0_16
    | spl0_31
    | spl0_30 ),
    inference(avatar_split_clause,[],[f251,f360,f364,f310,f355]) ).

fof(f251,plain,
    ! [X11,X12] :
      ( hskp20
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | c3_1(X12)
      | c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f195,plain,
    ! [X11,X12] :
      ( hskp20
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | c3_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f357,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_9
    | spl0_13 ),
    inference(avatar_split_clause,[],[f198,f297,f282,f355,f310]) ).

fof(f198,plain,
    ! [X8] :
      ( hskp15
      | hskp19
      | ~ c1_1(X8)
      | c3_1(X8)
      | c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f353,plain,
    ( spl0_27
    | ~ spl0_16
    | spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f252,f351,f320,f310,f348]) ).

fof(f252,plain,
    ! [X6,X7] :
      ( hskp26
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7) ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f199,plain,
    ! [X6,X7] :
      ( hskp26
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f325,plain,
    ( ~ spl0_16
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f203,f323,f320,f310]) ).

fof(f203,plain,
    ! [X1] :
      ( hskp4
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f318,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_6
    | spl0_18 ),
    inference(avatar_split_clause,[],[f204,f316,f271,f313,f310]) ).

fof(f204,plain,
    ! [X0] :
      ( hskp27
      | hskp24
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f308,plain,
    ( spl0_15
    | spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f205,f275,f302,f306]) ).

fof(f205,plain,
    ( hskp2
    | hskp22
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    ( spl0_11
    | spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f207,f261,f282,f289]) ).

fof(f207,plain,
    ( hskp9
    | hskp19
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f299,plain,
    ( spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f208,f297,f294,f289]) ).

fof(f208,plain,
    ( hskp15
    | hskp7
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( spl0_11
    | spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f209,f258,f268,f289]) ).

fof(f209,plain,
    ( hskp11
    | hskp13
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( spl0_11
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f210,f271,f268,f289]) ).

fof(f210,plain,
    ( hskp24
    | hskp13
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    ( spl0_7
    | spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f212,f278,f268,f275]) ).

fof(f212,plain,
    ( hskp14
    | hskp13
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f273,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f213,f271,f268,f265]) ).

fof(f213,plain,
    ( hskp24
    | hskp13
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f263,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f214,f261,f258,f255]) ).

fof(f214,plain,
    ( hskp9
    | hskp11
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SYN502+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 18:35:47 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_EPR_NEQ problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.OAEDDOHbal/Vampire---4.8_31267
% 0.16/0.38  % (31379)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44  % (31380)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.24/0.44  % (31384)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.24/0.44  % (31382)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.24/0.44  % (31386)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.24/0.44  % (31383)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.24/0.45  % (31381)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.24/0.45  % (31385)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.24/0.47  % (31382)First to succeed.
% 0.24/0.48  % (31382)Refutation found. Thanks to Tanya!
% 0.24/0.48  % SZS status Theorem for Vampire---4
% 0.24/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.48  % (31382)------------------------------
% 0.24/0.48  % (31382)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.48  % (31382)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.48  % (31382)Termination reason: Refutation
% 0.24/0.48  
% 0.24/0.48  % (31382)Memory used [KB]: 7036
% 0.24/0.48  % (31382)Time elapsed: 0.041 s
% 0.24/0.48  % (31382)------------------------------
% 0.24/0.48  % (31382)------------------------------
% 0.24/0.48  % (31379)Success in time 0.106 s
% 0.24/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------