TSTP Solution File: SYN505+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN505+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:36 EDT 2022

% Result   : Theorem 2.06s 0.67s
% Output   : Refutation 2.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  135
% Syntax   : Number of formulae    :  551 (   1 unt;   0 def)
%            Number of atoms       : 6987 (   0 equ)
%            Maximal formula atoms :  749 (  12 avg)
%            Number of connectives : 9534 (3098   ~;4385   |;1449   &)
%                                         ( 134 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  121 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  172 ( 171 usr; 168 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  944 ( 944   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1972,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f280,f302,f320,f330,f339,f349,f363,f373,f387,f396,f424,f433,f447,f452,f457,f467,f476,f481,f490,f500,f516,f520,f534,f559,f564,f569,f582,f583,f590,f601,f606,f624,f629,f638,f639,f644,f649,f655,f660,f666,f672,f678,f684,f693,f699,f700,f716,f721,f722,f727,f732,f733,f738,f744,f751,f756,f762,f767,f772,f782,f788,f795,f798,f820,f825,f831,f836,f841,f846,f851,f859,f860,f881,f886,f898,f903,f908,f910,f911,f912,f925,f943,f952,f972,f977,f984,f990,f993,f994,f1009,f1015,f1021,f1029,f1035,f1040,f1041,f1046,f1051,f1056,f1061,f1062,f1063,f1068,f1073,f1076,f1101,f1106,f1111,f1115,f1127,f1144,f1168,f1176,f1181,f1189,f1190,f1210,f1243,f1244,f1257,f1291,f1299,f1318,f1319,f1336,f1343,f1352,f1353,f1357,f1389,f1399,f1404,f1423,f1443,f1478,f1514,f1532,f1549,f1550,f1551,f1555,f1622,f1624,f1628,f1714,f1716,f1731,f1743,f1779,f1780,f1783,f1785,f1787,f1809,f1842,f1846,f1848,f1852,f1917,f1919,f1920,f1932,f1933,f1934,f1954,f1971]) ).

fof(f1971,plain,
    ( ~ spl0_179
    | spl0_134
    | ~ spl0_106
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1970,f895,f749,f905,f1295]) ).

fof(f1295,plain,
    ( spl0_179
  <=> c0_1(a506) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f905,plain,
    ( spl0_134
  <=> c3_1(a506) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f749,plain,
    ( spl0_106
  <=> ! [X76] :
        ( ~ c1_1(X76)
        | c3_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f895,plain,
    ( spl0_132
  <=> c1_1(a506) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1970,plain,
    ( c3_1(a506)
    | ~ c0_1(a506)
    | ~ spl0_106
    | ~ spl0_132 ),
    inference(resolution,[],[f897,f750]) ).

fof(f750,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | ~ c0_1(X76)
        | c3_1(X76) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f897,plain,
    ( c1_1(a506)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f1954,plain,
    ( spl0_63
    | ~ spl0_165
    | ~ spl0_97
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1952,f749,f696,f1103,f531]) ).

fof(f531,plain,
    ( spl0_63
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1103,plain,
    ( spl0_165
  <=> c0_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f696,plain,
    ( spl0_97
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1952,plain,
    ( ~ c0_1(a500)
    | c3_1(a500)
    | ~ spl0_97
    | ~ spl0_106 ),
    inference(resolution,[],[f698,f750]) ).

fof(f698,plain,
    ( c1_1(a500)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1934,plain,
    ( ~ spl0_189
    | ~ spl0_70
    | ~ spl0_12
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1892,f1053,f300,f566,f1882]) ).

fof(f1882,plain,
    ( spl0_189
  <=> c2_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f566,plain,
    ( spl0_70
  <=> c0_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f300,plain,
    ( spl0_12
  <=> ! [X55] :
        ( ~ c0_1(X55)
        | ~ c2_1(X55)
        | ~ c1_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1053,plain,
    ( spl0_158
  <=> c1_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1892,plain,
    ( ~ c0_1(a529)
    | ~ c2_1(a529)
    | ~ spl0_12
    | ~ spl0_158 ),
    inference(resolution,[],[f1055,f301]) ).

fof(f301,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55)
        | ~ c0_1(X55) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f1055,plain,
    ( c1_1(a529)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1933,plain,
    ( ~ spl0_70
    | spl0_189
    | ~ spl0_58
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1931,f949,f511,f1882,f566]) ).

fof(f511,plain,
    ( spl0_58
  <=> ! [X48] :
        ( c2_1(X48)
        | ~ c0_1(X48)
        | ~ c3_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f949,plain,
    ( spl0_141
  <=> c3_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1931,plain,
    ( c2_1(a529)
    | ~ c0_1(a529)
    | ~ spl0_58
    | ~ spl0_141 ),
    inference(resolution,[],[f512,f951]) ).

fof(f951,plain,
    ( c3_1(a529)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f512,plain,
    ( ! [X48] :
        ( ~ c3_1(X48)
        | ~ c0_1(X48)
        | c2_1(X48) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1932,plain,
    ( spl0_161
    | ~ spl0_96
    | ~ spl0_58
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1924,f1006,f511,f690,f1070]) ).

fof(f1070,plain,
    ( spl0_161
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f690,plain,
    ( spl0_96
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1006,plain,
    ( spl0_150
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1924,plain,
    ( ~ c0_1(a471)
    | c2_1(a471)
    | ~ spl0_58
    | ~ spl0_150 ),
    inference(resolution,[],[f512,f1008]) ).

fof(f1008,plain,
    ( c3_1(a471)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1920,plain,
    ( spl0_52
    | ~ spl0_162
    | ~ spl0_50
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1912,f579,f474,f1078,f483]) ).

fof(f483,plain,
    ( spl0_52
  <=> c0_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1078,plain,
    ( spl0_162
  <=> c2_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f474,plain,
    ( spl0_50
  <=> ! [X52] :
        ( ~ c2_1(X52)
        | c0_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f579,plain,
    ( spl0_73
  <=> c1_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1912,plain,
    ( ~ c2_1(a481)
    | c0_1(a481)
    | ~ spl0_50
    | ~ spl0_73 ),
    inference(resolution,[],[f475,f581]) ).

fof(f581,plain,
    ( c1_1(a481)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f475,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | ~ c2_1(X52)
        | c0_1(X52) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1919,plain,
    ( ~ spl0_185
    | spl0_136
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1915,f974,f474,f922,f1440]) ).

fof(f1440,plain,
    ( spl0_185
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f922,plain,
    ( spl0_136
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f974,plain,
    ( spl0_145
  <=> c1_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1915,plain,
    ( c0_1(a559)
    | ~ c2_1(a559)
    | ~ spl0_50
    | ~ spl0_145 ),
    inference(resolution,[],[f475,f976]) ).

fof(f976,plain,
    ( c1_1(a559)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f1917,plain,
    ( spl0_179
    | ~ spl0_139
    | ~ spl0_50
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1913,f895,f474,f940,f1295]) ).

fof(f940,plain,
    ( spl0_139
  <=> c2_1(a506) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1913,plain,
    ( ~ c2_1(a506)
    | c0_1(a506)
    | ~ spl0_50
    | ~ spl0_132 ),
    inference(resolution,[],[f475,f897]) ).

fof(f1852,plain,
    ( spl0_159
    | spl0_101
    | ~ spl0_75
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1693,f646,f588,f718,f1058]) ).

fof(f1058,plain,
    ( spl0_159
  <=> c0_1(a519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f718,plain,
    ( spl0_101
  <=> c2_1(a519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f588,plain,
    ( spl0_75
  <=> ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | c2_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f646,plain,
    ( spl0_88
  <=> c1_1(a519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1693,plain,
    ( c2_1(a519)
    | c0_1(a519)
    | ~ spl0_75
    | ~ spl0_88 ),
    inference(resolution,[],[f589,f648]) ).

fof(f648,plain,
    ( c1_1(a519)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f589,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | c2_1(X59) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f1848,plain,
    ( ~ spl0_171
    | ~ spl0_155
    | ~ spl0_12
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1660,f603,f300,f1037,f1153]) ).

fof(f1153,plain,
    ( spl0_171
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1037,plain,
    ( spl0_155
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f603,plain,
    ( spl0_79
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1660,plain,
    ( ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ spl0_12
    | ~ spl0_79 ),
    inference(resolution,[],[f301,f605]) ).

fof(f605,plain,
    ( c1_1(a488)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f1846,plain,
    ( spl0_52
    | spl0_162
    | ~ spl0_73
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1687,f588,f579,f1078,f483]) ).

fof(f1687,plain,
    ( c2_1(a481)
    | c0_1(a481)
    | ~ spl0_73
    | ~ spl0_75 ),
    inference(resolution,[],[f589,f581]) ).

fof(f1842,plain,
    ( spl0_161
    | ~ spl0_96
    | ~ spl0_26
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1841,f1711,f365,f690,f1070]) ).

fof(f365,plain,
    ( spl0_26
  <=> ! [X102] :
        ( c2_1(X102)
        | ~ c1_1(X102)
        | ~ c0_1(X102) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1711,plain,
    ( spl0_188
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1841,plain,
    ( ~ c0_1(a471)
    | c2_1(a471)
    | ~ spl0_26
    | ~ spl0_188 ),
    inference(resolution,[],[f1713,f366]) ).

fof(f366,plain,
    ( ! [X102] :
        ( ~ c1_1(X102)
        | c2_1(X102)
        | ~ c0_1(X102) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1713,plain,
    ( c1_1(a471)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1711]) ).

fof(f1809,plain,
    ( spl0_103
    | spl0_183
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1806,f790,f785,f1396,f729]) ).

fof(f729,plain,
    ( spl0_103
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1396,plain,
    ( spl0_183
  <=> c1_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f785,plain,
    ( spl0_113
  <=> c3_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f790,plain,
    ( spl0_114
  <=> ! [X94] :
        ( c1_1(X94)
        | c0_1(X94)
        | ~ c3_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1806,plain,
    ( c1_1(a493)
    | c0_1(a493)
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(resolution,[],[f791,f787]) ).

fof(f787,plain,
    ( c3_1(a493)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f791,plain,
    ( ! [X94] :
        ( ~ c3_1(X94)
        | c0_1(X94)
        | c1_1(X94) )
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f1787,plain,
    ( spl0_45
    | spl0_167
    | ~ spl0_20
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1756,f764,f336,f1123,f449]) ).

fof(f449,plain,
    ( spl0_45
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1123,plain,
    ( spl0_167
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f336,plain,
    ( spl0_20
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f764,plain,
    ( spl0_109
  <=> ! [X9] :
        ( c0_1(X9)
        | ~ c2_1(X9)
        | c3_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1756,plain,
    ( c0_1(a463)
    | c3_1(a463)
    | ~ spl0_20
    | ~ spl0_109 ),
    inference(resolution,[],[f765,f338]) ).

fof(f338,plain,
    ( c2_1(a463)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f765,plain,
    ( ! [X9] :
        ( ~ c2_1(X9)
        | c0_1(X9)
        | c3_1(X9) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1785,plain,
    ( spl0_5
    | spl0_83
    | ~ spl0_109
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1762,f1065,f764,f621,f273]) ).

fof(f273,plain,
    ( spl0_5
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f621,plain,
    ( spl0_83
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1065,plain,
    ( spl0_160
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1762,plain,
    ( c0_1(a478)
    | c3_1(a478)
    | ~ spl0_109
    | ~ spl0_160 ),
    inference(resolution,[],[f765,f1067]) ).

fof(f1067,plain,
    ( c2_1(a478)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1783,plain,
    ( spl0_52
    | spl0_157
    | ~ spl0_109
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1764,f1078,f764,f1048,f483]) ).

fof(f1048,plain,
    ( spl0_157
  <=> c3_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1764,plain,
    ( c3_1(a481)
    | c0_1(a481)
    | ~ spl0_109
    | ~ spl0_162 ),
    inference(resolution,[],[f765,f1080]) ).

fof(f1080,plain,
    ( c2_1(a481)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1780,plain,
    ( spl0_134
    | spl0_179
    | ~ spl0_109
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1771,f940,f764,f1295,f905]) ).

fof(f1771,plain,
    ( c0_1(a506)
    | c3_1(a506)
    | ~ spl0_109
    | ~ spl0_139 ),
    inference(resolution,[],[f765,f942]) ).

fof(f942,plain,
    ( c2_1(a506)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1779,plain,
    ( spl0_1
    | spl0_182
    | ~ spl0_109
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1765,f1018,f764,f1359,f255]) ).

fof(f255,plain,
    ( spl0_1
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1359,plain,
    ( spl0_182
  <=> c3_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1018,plain,
    ( spl0_152
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1765,plain,
    ( c3_1(a483)
    | c0_1(a483)
    | ~ spl0_109
    | ~ spl0_152 ),
    inference(resolution,[],[f765,f1020]) ).

fof(f1020,plain,
    ( c2_1(a483)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f1743,plain,
    ( ~ spl0_96
    | ~ spl0_188
    | ~ spl0_104
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1736,f1006,f735,f1711,f690]) ).

fof(f735,plain,
    ( spl0_104
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | ~ c3_1(X18)
        | ~ c1_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1736,plain,
    ( ~ c1_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_104
    | ~ spl0_150 ),
    inference(resolution,[],[f736,f1008]) ).

fof(f736,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | ~ c0_1(X18)
        | ~ c1_1(X18) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f1731,plain,
    ( spl0_103
    | ~ spl0_91
    | ~ spl0_89
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1728,f785,f652,f663,f729]) ).

fof(f663,plain,
    ( spl0_91
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f652,plain,
    ( spl0_89
  <=> ! [X72] :
        ( ~ c2_1(X72)
        | c0_1(X72)
        | ~ c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1728,plain,
    ( ~ c2_1(a493)
    | c0_1(a493)
    | ~ spl0_89
    | ~ spl0_113 ),
    inference(resolution,[],[f653,f787]) ).

fof(f653,plain,
    ( ! [X72] :
        ( ~ c3_1(X72)
        | c0_1(X72)
        | ~ c2_1(X72) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f1716,plain,
    ( spl0_107
    | spl0_130
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1707,f1141,f599,f883,f753]) ).

fof(f753,plain,
    ( spl0_107
  <=> c1_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f883,plain,
    ( spl0_130
  <=> c2_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f599,plain,
    ( spl0_78
  <=> ! [X74] :
        ( c2_1(X74)
        | c1_1(X74)
        | ~ c0_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1141,plain,
    ( spl0_170
  <=> c0_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1707,plain,
    ( c2_1(a482)
    | c1_1(a482)
    | ~ spl0_78
    | ~ spl0_170 ),
    inference(resolution,[],[f600,f1142]) ).

fof(f1142,plain,
    ( c0_1(a482)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f600,plain,
    ( ! [X74] :
        ( ~ c0_1(X74)
        | c2_1(X74)
        | c1_1(X74) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f1714,plain,
    ( spl0_188
    | spl0_161
    | ~ spl0_78
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1706,f690,f599,f1070,f1711]) ).

fof(f1706,plain,
    ( c2_1(a471)
    | c1_1(a471)
    | ~ spl0_78
    | ~ spl0_96 ),
    inference(resolution,[],[f600,f692]) ).

fof(f692,plain,
    ( c0_1(a471)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f1628,plain,
    ( ~ spl0_136
    | spl0_185
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1589,f974,f365,f1440,f922]) ).

fof(f1589,plain,
    ( c2_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(resolution,[],[f366,f976]) ).

fof(f1624,plain,
    ( spl0_118
    | spl0_84
    | ~ spl0_31
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1609,f571,f384,f626,f817]) ).

fof(f817,plain,
    ( spl0_118
  <=> c2_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f626,plain,
    ( spl0_84
  <=> c0_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f384,plain,
    ( spl0_31
  <=> c3_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f571,plain,
    ( spl0_71
  <=> ! [X104] :
        ( c0_1(X104)
        | ~ c3_1(X104)
        | c2_1(X104) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1609,plain,
    ( c0_1(a464)
    | c2_1(a464)
    | ~ spl0_31
    | ~ spl0_71 ),
    inference(resolution,[],[f572,f386]) ).

fof(f386,plain,
    ( c3_1(a464)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f572,plain,
    ( ! [X104] :
        ( ~ c3_1(X104)
        | c2_1(X104)
        | c0_1(X104) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1622,plain,
    ( spl0_170
    | spl0_130
    | ~ spl0_71
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1615,f987,f571,f883,f1141]) ).

fof(f987,plain,
    ( spl0_147
  <=> c3_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1615,plain,
    ( c2_1(a482)
    | c0_1(a482)
    | ~ spl0_71
    | ~ spl0_147 ),
    inference(resolution,[],[f572,f989]) ).

fof(f989,plain,
    ( c3_1(a482)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f1555,plain,
    ( ~ spl0_167
    | spl0_108
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1159,f514,f336,f759,f1123]) ).

fof(f759,plain,
    ( spl0_108
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f514,plain,
    ( spl0_59
  <=> ! [X49] :
        ( c1_1(X49)
        | ~ c0_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1159,plain,
    ( c1_1(a463)
    | ~ c0_1(a463)
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(resolution,[],[f515,f338]) ).

fof(f515,plain,
    ( ! [X49] :
        ( ~ c2_1(X49)
        | ~ c0_1(X49)
        | c1_1(X49) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1551,plain,
    ( ~ spl0_41
    | ~ spl0_122
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1547,f878,f300,f838,f430]) ).

fof(f430,plain,
    ( spl0_41
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f838,plain,
    ( spl0_122
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f878,plain,
    ( spl0_129
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1547,plain,
    ( ~ c0_1(a474)
    | ~ c2_1(a474)
    | ~ spl0_12
    | ~ spl0_129 ),
    inference(resolution,[],[f301,f880]) ).

fof(f880,plain,
    ( c1_1(a474)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f1550,plain,
    ( ~ spl0_139
    | ~ spl0_179
    | ~ spl0_12
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1543,f895,f300,f1295,f940]) ).

fof(f1543,plain,
    ( ~ c0_1(a506)
    | ~ c2_1(a506)
    | ~ spl0_12
    | ~ spl0_132 ),
    inference(resolution,[],[f301,f897]) ).

fof(f1549,plain,
    ( ~ spl0_185
    | ~ spl0_136
    | ~ spl0_12
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1545,f974,f300,f922,f1440]) ).

fof(f1545,plain,
    ( ~ c0_1(a559)
    | ~ c2_1(a559)
    | ~ spl0_12
    | ~ spl0_145 ),
    inference(resolution,[],[f301,f976]) ).

fof(f1532,plain,
    ( spl0_133
    | spl0_87
    | ~ spl0_68
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1522,f611,f556,f641,f900]) ).

fof(f900,plain,
    ( spl0_133
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f641,plain,
    ( spl0_87
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f556,plain,
    ( spl0_68
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f611,plain,
    ( spl0_81
  <=> ! [X53] :
        ( c2_1(X53)
        | c3_1(X53)
        | ~ c0_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1522,plain,
    ( c2_1(a494)
    | c3_1(a494)
    | ~ spl0_68
    | ~ spl0_81 ),
    inference(resolution,[],[f612,f558]) ).

fof(f558,plain,
    ( c0_1(a494)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f612,plain,
    ( ! [X53] :
        ( ~ c0_1(X53)
        | c3_1(X53)
        | c2_1(X53) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f1514,plain,
    ( ~ spl0_46
    | ~ spl0_112
    | ~ spl0_80
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1513,f769,f608,f779,f454]) ).

fof(f454,plain,
    ( spl0_46
  <=> c0_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f779,plain,
    ( spl0_112
  <=> c2_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f608,plain,
    ( spl0_80
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | ~ c2_1(X54)
        | ~ c0_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f769,plain,
    ( spl0_110
  <=> c3_1(a469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1513,plain,
    ( ~ c2_1(a469)
    | ~ c0_1(a469)
    | ~ spl0_80
    | ~ spl0_110 ),
    inference(resolution,[],[f609,f771]) ).

fof(f771,plain,
    ( c3_1(a469)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f609,plain,
    ( ! [X54] :
        ( ~ c3_1(X54)
        | ~ c2_1(X54)
        | ~ c0_1(X54) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f1478,plain,
    ( spl0_119
    | spl0_123
    | ~ spl0_77
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1458,f1012,f595,f843,f822]) ).

fof(f822,plain,
    ( spl0_119
  <=> c1_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f843,plain,
    ( spl0_123
  <=> c0_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f595,plain,
    ( spl0_77
  <=> ! [X87] :
        ( c3_1(X87)
        | c0_1(X87)
        | c1_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1012,plain,
    ( spl0_151
  <=> c3_1(a466) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1458,plain,
    ( c0_1(a466)
    | c1_1(a466)
    | ~ spl0_77
    | spl0_151 ),
    inference(resolution,[],[f596,f1014]) ).

fof(f1014,plain,
    ( ~ c3_1(a466)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f596,plain,
    ( ! [X87] :
        ( c3_1(X87)
        | c0_1(X87)
        | c1_1(X87) )
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f1443,plain,
    ( spl0_185
    | spl0_69
    | ~ spl0_8
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1435,f974,f285,f561,f1440]) ).

fof(f561,plain,
    ( spl0_69
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f285,plain,
    ( spl0_8
  <=> ! [X97] :
        ( c2_1(X97)
        | c3_1(X97)
        | ~ c1_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1435,plain,
    ( c3_1(a559)
    | c2_1(a559)
    | ~ spl0_8
    | ~ spl0_145 ),
    inference(resolution,[],[f286,f976]) ).

fof(f286,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c2_1(X97)
        | c3_1(X97) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f1423,plain,
    ( ~ spl0_152
    | ~ spl0_18
    | ~ spl0_72
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1420,f1359,f574,f327,f1018]) ).

fof(f327,plain,
    ( spl0_18
  <=> c1_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f574,plain,
    ( spl0_72
  <=> ! [X105] :
        ( ~ c2_1(X105)
        | ~ c3_1(X105)
        | ~ c1_1(X105) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1420,plain,
    ( ~ c1_1(a483)
    | ~ c2_1(a483)
    | ~ spl0_72
    | ~ spl0_182 ),
    inference(resolution,[],[f575,f1361]) ).

fof(f1361,plain,
    ( c3_1(a483)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1359]) ).

fof(f575,plain,
    ( ! [X105] :
        ( ~ c3_1(X105)
        | ~ c1_1(X105)
        | ~ c2_1(X105) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f1404,plain,
    ( spl0_1
    | ~ spl0_18
    | ~ spl0_76
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f1400,f1359,f592,f327,f255]) ).

fof(f592,plain,
    ( spl0_76
  <=> ! [X86] :
        ( ~ c1_1(X86)
        | ~ c3_1(X86)
        | c0_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1400,plain,
    ( ~ c1_1(a483)
    | c0_1(a483)
    | ~ spl0_76
    | ~ spl0_182 ),
    inference(resolution,[],[f1361,f593]) ).

fof(f593,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | c0_1(X86)
        | ~ c1_1(X86) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f1399,plain,
    ( ~ spl0_183
    | spl0_103
    | ~ spl0_76
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1391,f785,f592,f729,f1396]) ).

fof(f1391,plain,
    ( c0_1(a493)
    | ~ c1_1(a493)
    | ~ spl0_76
    | ~ spl0_113 ),
    inference(resolution,[],[f787,f593]) ).

fof(f1389,plain,
    ( spl0_121
    | ~ spl0_94
    | ~ spl0_59
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1388,f1340,f514,f681,f833]) ).

fof(f833,plain,
    ( spl0_121
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f681,plain,
    ( spl0_94
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1340,plain,
    ( spl0_181
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1388,plain,
    ( ~ c0_1(a467)
    | c1_1(a467)
    | ~ spl0_59
    | ~ spl0_181 ),
    inference(resolution,[],[f1342,f515]) ).

fof(f1342,plain,
    ( c2_1(a467)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1340]) ).

fof(f1357,plain,
    ( spl0_1
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1354,f474,f327,f1018,f255]) ).

fof(f1354,plain,
    ( ~ c2_1(a483)
    | c0_1(a483)
    | ~ spl0_18
    | ~ spl0_50 ),
    inference(resolution,[],[f329,f475]) ).

fof(f329,plain,
    ( c1_1(a483)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f1353,plain,
    ( spl0_48
    | ~ spl0_172
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1348,f474,f393,f1173,f464]) ).

fof(f464,plain,
    ( spl0_48
  <=> c0_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1173,plain,
    ( spl0_172
  <=> c2_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f393,plain,
    ( spl0_33
  <=> c1_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1348,plain,
    ( ~ c2_1(a545)
    | c0_1(a545)
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(resolution,[],[f475,f395]) ).

fof(f395,plain,
    ( c1_1(a545)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1352,plain,
    ( spl0_171
    | ~ spl0_155
    | ~ spl0_50
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1351,f603,f474,f1037,f1153]) ).

fof(f1351,plain,
    ( ~ c2_1(a488)
    | c0_1(a488)
    | ~ spl0_50
    | ~ spl0_79 ),
    inference(resolution,[],[f475,f605]) ).

fof(f1343,plain,
    ( spl0_181
    | spl0_121
    | ~ spl0_78
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1321,f681,f599,f833,f1340]) ).

fof(f1321,plain,
    ( c1_1(a467)
    | c2_1(a467)
    | ~ spl0_78
    | ~ spl0_94 ),
    inference(resolution,[],[f600,f683]) ).

fof(f683,plain,
    ( c0_1(a467)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f1336,plain,
    ( spl0_102
    | spl0_22
    | ~ spl0_78
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1325,f675,f599,f346,f724]) ).

fof(f724,plain,
    ( spl0_102
  <=> c1_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f346,plain,
    ( spl0_22
  <=> c2_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f675,plain,
    ( spl0_93
  <=> c0_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1325,plain,
    ( c2_1(a487)
    | c1_1(a487)
    | ~ spl0_78
    | ~ spl0_93 ),
    inference(resolution,[],[f600,f677]) ).

fof(f677,plain,
    ( c0_1(a487)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f1319,plain,
    ( spl0_48
    | ~ spl0_33
    | ~ spl0_51
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1315,f592,f478,f393,f464]) ).

fof(f478,plain,
    ( spl0_51
  <=> c3_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1315,plain,
    ( ~ c1_1(a545)
    | c0_1(a545)
    | ~ spl0_51
    | ~ spl0_76 ),
    inference(resolution,[],[f593,f480]) ).

fof(f480,plain,
    ( c3_1(a545)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f1318,plain,
    ( ~ spl0_79
    | spl0_171
    | ~ spl0_76
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1317,f848,f592,f1153,f603]) ).

fof(f848,plain,
    ( spl0_124
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1317,plain,
    ( c0_1(a488)
    | ~ c1_1(a488)
    | ~ spl0_76
    | ~ spl0_124 ),
    inference(resolution,[],[f593,f850]) ).

fof(f850,plain,
    ( c3_1(a488)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f1299,plain,
    ( ~ spl0_139
    | spl0_134
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1293,f895,f518,f905,f940]) ).

fof(f518,plain,
    ( spl0_60
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | ~ c2_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1293,plain,
    ( c3_1(a506)
    | ~ c2_1(a506)
    | ~ spl0_60
    | ~ spl0_132 ),
    inference(resolution,[],[f897,f519]) ).

fof(f519,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | ~ c2_1(X16)
        | c3_1(X16) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1291,plain,
    ( spl0_101
    | spl0_159
    | ~ spl0_71
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1288,f1108,f571,f1058,f718]) ).

fof(f1108,plain,
    ( spl0_166
  <=> c3_1(a519) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1288,plain,
    ( c0_1(a519)
    | c2_1(a519)
    | ~ spl0_71
    | ~ spl0_166 ),
    inference(resolution,[],[f1110,f572]) ).

fof(f1110,plain,
    ( c3_1(a519)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1108]) ).

fof(f1257,plain,
    ( spl0_165
    | spl0_125
    | spl0_63
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1237,f585,f531,f856,f1103]) ).

fof(f856,plain,
    ( spl0_125
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f585,plain,
    ( spl0_74
  <=> ! [X57] :
        ( c0_1(X57)
        | c2_1(X57)
        | c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1237,plain,
    ( c2_1(a500)
    | c0_1(a500)
    | spl0_63
    | ~ spl0_74 ),
    inference(resolution,[],[f586,f533]) ).

fof(f533,plain,
    ( ~ c3_1(a500)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f586,plain,
    ( ! [X57] :
        ( c3_1(X57)
        | c2_1(X57)
        | c0_1(X57) )
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1244,plain,
    ( spl0_162
    | spl0_52
    | ~ spl0_74
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1234,f1048,f585,f483,f1078]) ).

fof(f1234,plain,
    ( c0_1(a481)
    | c2_1(a481)
    | ~ spl0_74
    | spl0_157 ),
    inference(resolution,[],[f586,f1050]) ).

fof(f1050,plain,
    ( ~ c3_1(a481)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1243,plain,
    ( spl0_120
    | spl0_105
    | ~ spl0_74
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1238,f631,f585,f741,f828]) ).

fof(f828,plain,
    ( spl0_120
  <=> c0_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f741,plain,
    ( spl0_105
  <=> c2_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f631,plain,
    ( spl0_85
  <=> c3_1(a521) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1238,plain,
    ( c2_1(a521)
    | c0_1(a521)
    | ~ spl0_74
    | spl0_85 ),
    inference(resolution,[],[f586,f633]) ).

fof(f633,plain,
    ( ~ c3_1(a521)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f1210,plain,
    ( spl0_108
    | spl0_45
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1204,f368,f336,f449,f759]) ).

fof(f368,plain,
    ( spl0_27
  <=> ! [X103] :
        ( c1_1(X103)
        | ~ c2_1(X103)
        | c3_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1204,plain,
    ( c3_1(a463)
    | c1_1(a463)
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(resolution,[],[f369,f338]) ).

fof(f369,plain,
    ( ! [X103] :
        ( ~ c2_1(X103)
        | c3_1(X103)
        | c1_1(X103) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1190,plain,
    ( spl0_173
    | spl0_90
    | ~ spl0_25
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1182,f571,f360,f657,f1186]) ).

fof(f1186,plain,
    ( spl0_173
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f657,plain,
    ( spl0_90
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f360,plain,
    ( spl0_25
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1182,plain,
    ( c2_1(a472)
    | c0_1(a472)
    | ~ spl0_25
    | ~ spl0_71 ),
    inference(resolution,[],[f362,f572]) ).

fof(f362,plain,
    ( c3_1(a472)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f1189,plain,
    ( spl0_90
    | ~ spl0_173
    | ~ spl0_25
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1183,f511,f360,f1186,f657]) ).

fof(f1183,plain,
    ( ~ c0_1(a472)
    | c2_1(a472)
    | ~ spl0_25
    | ~ spl0_58 ),
    inference(resolution,[],[f362,f512]) ).

fof(f1181,plain,
    ( ~ spl0_79
    | ~ spl0_155
    | ~ spl0_72
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1179,f848,f574,f1037,f603]) ).

fof(f1179,plain,
    ( ~ c2_1(a488)
    | ~ c1_1(a488)
    | ~ spl0_72
    | ~ spl0_124 ),
    inference(resolution,[],[f575,f850]) ).

fof(f1176,plain,
    ( spl0_48
    | spl0_172
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1170,f571,f478,f1173,f464]) ).

fof(f1170,plain,
    ( c2_1(a545)
    | c0_1(a545)
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(resolution,[],[f572,f480]) ).

fof(f1168,plain,
    ( ~ spl0_162
    | spl0_157
    | ~ spl0_60
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1163,f579,f518,f1048,f1078]) ).

fof(f1163,plain,
    ( c3_1(a481)
    | ~ c2_1(a481)
    | ~ spl0_60
    | ~ spl0_73 ),
    inference(resolution,[],[f519,f581]) ).

fof(f1144,plain,
    ( ~ spl0_170
    | spl0_130
    | ~ spl0_58
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1138,f987,f511,f883,f1141]) ).

fof(f1138,plain,
    ( c2_1(a482)
    | ~ c0_1(a482)
    | ~ spl0_58
    | ~ spl0_147 ),
    inference(resolution,[],[f989,f512]) ).

fof(f1127,plain,
    ( ~ spl0_153
    | spl0_156
    | ~ spl0_59
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1117,f969,f514,f1043,f1026]) ).

fof(f1026,plain,
    ( spl0_153
  <=> c0_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1043,plain,
    ( spl0_156
  <=> c1_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f969,plain,
    ( spl0_144
  <=> c2_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1117,plain,
    ( c1_1(a462)
    | ~ c0_1(a462)
    | ~ spl0_59
    | ~ spl0_144 ),
    inference(resolution,[],[f515,f971]) ).

fof(f971,plain,
    ( c2_1(a462)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f1115,plain,
    ( ~ spl0_165
    | spl0_125
    | ~ spl0_26
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1113,f696,f365,f856,f1103]) ).

fof(f1113,plain,
    ( c2_1(a500)
    | ~ c0_1(a500)
    | ~ spl0_26
    | ~ spl0_97 ),
    inference(resolution,[],[f366,f698]) ).

fof(f1111,plain,
    ( spl0_159
    | spl0_166
    | ~ spl0_28
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1100,f646,f371,f1108,f1058]) ).

fof(f371,plain,
    ( spl0_28
  <=> ! [X101] :
        ( c0_1(X101)
        | ~ c1_1(X101)
        | c3_1(X101) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1100,plain,
    ( c3_1(a519)
    | c0_1(a519)
    | ~ spl0_28
    | ~ spl0_88 ),
    inference(resolution,[],[f372,f648]) ).

fof(f372,plain,
    ( ! [X101] :
        ( ~ c1_1(X101)
        | c0_1(X101)
        | c3_1(X101) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1106,plain,
    ( spl0_63
    | spl0_165
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1099,f696,f371,f1103,f531]) ).

fof(f1099,plain,
    ( c0_1(a500)
    | c3_1(a500)
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(resolution,[],[f372,f698]) ).

fof(f1101,plain,
    ( spl0_52
    | spl0_157
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1098,f579,f371,f1048,f483]) ).

fof(f1098,plain,
    ( c3_1(a481)
    | c0_1(a481)
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(resolution,[],[f372,f581]) ).

fof(f1076,plain,
    ( spl0_63
    | spl0_125
    | ~ spl0_8
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1075,f696,f285,f856,f531]) ).

fof(f1075,plain,
    ( c2_1(a500)
    | c3_1(a500)
    | ~ spl0_8
    | ~ spl0_97 ),
    inference(resolution,[],[f286,f698]) ).

fof(f1073,plain,
    ( ~ spl0_95
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f77,f1070,f686]) ).

fof(f686,plain,
    ( spl0_95
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f77,plain,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0
          | ~ c2_1(X0) )
      | hskp25 )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ndr1_0
        & c2_1(a484)
        & ~ c3_1(a484) ) )
    & ( hskp8
      | hskp7
      | hskp27 )
    & ( hskp5
      | ! [X1] :
          ( ~ ndr1_0
          | c1_1(X1)
          | c2_1(X1)
          | ~ c0_1(X1) )
      | ! [X2] :
          ( ~ c1_1(X2)
          | c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ~ c3_1(a466) )
      | ~ hskp4 )
    & ( hskp12
      | hskp11
      | hskp9 )
    & ( ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0
          | ~ c0_1(X4) ) )
    & ( hskp18
      | hskp1
      | ! [X5] :
          ( ~ c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a463)
        & ~ c3_1(a463)
        & ndr1_0
        & ~ c1_1(a463) )
      | ~ hskp1 )
    & ( hskp7
      | ! [X6] :
          ( c0_1(X6)
          | ~ ndr1_0
          | c3_1(X6)
          | ~ c2_1(X6) )
      | hskp16 )
    & ( hskp6
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c1_1(X7) )
      | hskp4 )
    & ( ~ hskp0
      | ( c2_1(a462)
        & c0_1(a462)
        & ndr1_0
        & ~ c1_1(a462) ) )
    & ( hskp8
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X9] :
          ( c0_1(X9)
          | ~ c2_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | hskp1
      | hskp15 )
    & ( ! [X10] :
          ( ~ c1_1(X10)
          | c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | hskp13
      | ! [X11] :
          ( ~ c0_1(X11)
          | ~ ndr1_0
          | c1_1(X11)
          | ~ c2_1(X11) ) )
    & ( hskp8
      | hskp17
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c2_1(X12) ) )
    & ( ( c2_1(a477)
        & c3_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( hskp28
      | ! [X13] :
          ( c0_1(X13)
          | ~ ndr1_0
          | c1_1(X13)
          | ~ c3_1(X13) )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0
        & ~ c1_1(a487) )
      | ~ hskp16 )
    & ( hskp18
      | hskp19
      | ! [X15] :
          ( ~ ndr1_0
          | c2_1(X15)
          | c1_1(X15)
          | ~ c0_1(X15) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) ) )
    & ( ! [X16] :
          ( ~ c1_1(X16)
          | ~ ndr1_0
          | c3_1(X16)
          | ~ c2_1(X16) )
      | hskp29
      | ! [X17] :
          ( c2_1(X17)
          | ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp0
      | hskp10 )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c1_1(X18)
          | ~ c0_1(X18) )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X20] :
          ( c2_1(X20)
          | ~ ndr1_0
          | c3_1(X20)
          | ~ c1_1(X20) )
      | ! [X21] :
          ( c1_1(X21)
          | ~ ndr1_0
          | c0_1(X21)
          | ~ c3_1(X21) )
      | hskp5 )
    & ( hskp7
      | hskp17
      | ! [X22] :
          ( c0_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ~ hskp30
      | ( c1_1(a488)
        & c3_1(a488)
        & c2_1(a488)
        & ndr1_0 ) )
    & ( ! [X23] :
          ( c3_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23)
          | ~ c0_1(X23) )
      | ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0
          | c1_1(X24) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | c0_1(X25)
          | ~ c3_1(X25) ) )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ ndr1_0
          | c2_1(X26)
          | ~ c0_1(X26) )
      | hskp5
      | hskp17 )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( ~ hskp3
      | ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 ) )
    & ( hskp9
      | ! [X27] :
          ( c2_1(X27)
          | ~ ndr1_0
          | c1_1(X27)
          | ~ c0_1(X27) )
      | ! [X28] :
          ( c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0
          | c0_1(X28) ) )
    & ( ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | ~ ndr1_0
          | c1_1(X29) )
      | ! [X30] :
          ( c0_1(X30)
          | ~ ndr1_0
          | ~ c2_1(X30)
          | ~ c1_1(X30) ) )
    & ( ! [X31] :
          ( ~ c2_1(X31)
          | ~ ndr1_0
          | ~ c0_1(X31)
          | ~ c3_1(X31) )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c1_1(X32) )
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33) ) )
    & ( ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0
          | ~ c1_1(X35) )
      | hskp7 )
    & ( hskp9
      | ! [X36] :
          ( ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0
          | c2_1(X36) )
      | hskp17 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478) ) )
    & ( hskp6
      | ! [X37] :
          ( ~ ndr1_0
          | c2_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37) )
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ ndr1_0
          | c0_1(X38)
          | c2_1(X38) ) )
    & ( hskp20
      | hskp22
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ ndr1_0
          | c2_1(X39)
          | c3_1(X39) ) )
    & ( ( ~ c2_1(a482)
        & ndr1_0
        & c3_1(a482)
        & ~ c1_1(a482) )
      | ~ hskp13 )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41) )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ ndr1_0
          | ~ c1_1(X42)
          | c0_1(X42) )
      | hskp16 )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c2_1(a519)
        & ~ c0_1(a519) )
      | ~ hskp22 )
    & ( ! [X43] :
          ( c1_1(X43)
          | ~ ndr1_0
          | c0_1(X43)
          | c2_1(X43) )
      | hskp0
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ ndr1_0
          | c3_1(X44)
          | ~ c2_1(X44) ) )
    & ( hskp0
      | hskp29
      | ! [X45] :
          ( c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0
          | ~ c1_1(X45) ) )
    & ( hskp4
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ( ~ c1_1(a467)
        & c0_1(a467)
        & ~ c3_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( hskp17
      | hskp18
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0
          | c3_1(X47) ) )
    & ( hskp23
      | hskp5
      | hskp3 )
    & ( ~ hskp26
      | ( c1_1(a559)
        & c0_1(a559)
        & ndr1_0
        & ~ c3_1(a559) ) )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp12
      | ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0
          | ~ c0_1(X48) )
      | ! [X49] :
          ( ~ c0_1(X49)
          | ~ ndr1_0
          | c1_1(X49)
          | ~ c2_1(X49) ) )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0
          | c1_1(X50) )
      | ! [X51] :
          ( c2_1(X51)
          | c3_1(X51)
          | ~ ndr1_0
          | c1_1(X51) )
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a479)
        & ~ c1_1(a479)
        & c0_1(a479) )
      | ~ hskp11 )
    & ( ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) )
      | ~ hskp31 )
    & ( ~ hskp20
      | ( ~ c3_1(a506)
        & c2_1(a506)
        & ndr1_0
        & c1_1(a506) ) )
    & ( ( c2_1(a507)
        & ~ c0_1(a507)
        & ndr1_0
        & ~ c1_1(a507) )
      | ~ hskp21 )
    & ( hskp1
      | ! [X52] :
          ( ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0
          | ~ c2_1(X52) )
      | hskp30 )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a483)
        & ~ c0_1(a483)
        & c1_1(a483) ) )
    & ( ! [X53] :
          ( c2_1(X53)
          | ~ ndr1_0
          | c3_1(X53)
          | ~ c0_1(X53) )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0
          | ~ c2_1(X55) )
      | hskp8
      | hskp13 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c3_1(X56)
          | ~ c0_1(X56)
          | c1_1(X56) )
      | hskp20
      | hskp21 )
    & ( ! [X57] :
          ( c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0
          | c0_1(X57) )
      | ! [X58] :
          ( c3_1(X58)
          | c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0
          | ~ c1_1(X59) ) )
    & ( ~ hskp17
      | ( c2_1(a493)
        & ndr1_0
        & c3_1(a493)
        & ~ c0_1(a493) ) )
    & ( hskp16
      | ! [X60] :
          ( c1_1(X60)
          | ~ ndr1_0
          | ~ c0_1(X60)
          | c3_1(X60) )
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a464)
        & ~ c2_1(a464)
        & ~ c0_1(a464) ) )
    & ( hskp24
      | hskp10
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0
          | ~ c0_1(X62) ) )
    & ( hskp3
      | ! [X63] :
          ( c1_1(X63)
          | ~ ndr1_0
          | c2_1(X63)
          | c0_1(X63) )
      | hskp4 )
    & ( ~ hskp7
      | ( c0_1(a471)
        & c3_1(a471)
        & ndr1_0
        & ~ c2_1(a471) ) )
    & ( ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64) )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ ndr1_0
          | ~ c1_1(X65)
          | ~ c0_1(X65) )
      | ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c3_1(X67)
          | c2_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ( c1_1(a472)
        & c3_1(a472)
        & ndr1_0
        & ~ c2_1(a472) )
      | ~ hskp8 )
    & ( ! [X68] :
          ( c2_1(X68)
          | ~ ndr1_0
          | ~ c1_1(X68)
          | ~ c3_1(X68) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | c0_1(X69)
          | c2_1(X69) )
      | hskp10 )
    & ( ~ hskp27
      | ( ~ c1_1(a576)
        & ~ c3_1(a576)
        & ~ c2_1(a576)
        & ndr1_0 ) )
    & ( ! [X70] :
          ( c2_1(X70)
          | ~ ndr1_0
          | c1_1(X70)
          | c3_1(X70) )
      | hskp14
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c1_1(X71)
          | c2_1(X71)
          | c3_1(X71) ) )
    & ( hskp18
      | ! [X72] :
          ( c0_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp7
      | hskp8
      | ! [X73] :
          ( c3_1(X73)
          | c0_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X74] :
          ( c1_1(X74)
          | ~ ndr1_0
          | c2_1(X74)
          | ~ c0_1(X74) )
      | ! [X75] :
          ( ~ ndr1_0
          | c0_1(X75)
          | ~ c3_1(X75)
          | c2_1(X75) ) )
    & ( hskp12
      | hskp30
      | ! [X76] :
          ( c3_1(X76)
          | ~ c1_1(X76)
          | ~ ndr1_0
          | ~ c0_1(X76) ) )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( hskp5
      | ! [X77] :
          ( ~ c1_1(X77)
          | c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & ndr1_0
        & c0_1(a494) )
      | ~ hskp18 )
    & ( ! [X79] :
          ( ~ c1_1(X79)
          | ~ ndr1_0
          | c2_1(X79)
          | c3_1(X79) )
      | ! [X80] :
          ( c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0
          | c2_1(X80) )
      | ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a525)
        & ~ c2_1(a525)
        & c1_1(a525) )
      | ~ hskp24 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X84] :
          ( c3_1(X84)
          | ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84) )
      | hskp31 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ ndr1_0
          | ~ c1_1(X86)
          | c0_1(X86) )
      | ! [X87] :
          ( c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0
          | c3_1(X87) ) )
    & ( ( c0_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c2_1(a474) )
      | ~ hskp29 )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ~ c2_1(a470) ) )
    & ( ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | c2_1(X88)
          | c3_1(X88) )
      | ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp9
      | hskp23
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | c3_1(X90)
          | c2_1(X90) ) )
    & ( ~ hskp12
      | ( ~ c3_1(a481)
        & ndr1_0
        & ~ c0_1(a481)
        & c1_1(a481) ) )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c3_1(a469)
        & c0_1(a469)
        & ndr1_0 ) )
    & ( hskp30
      | hskp21
      | ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp9
      | hskp29 )
    & ( hskp10
      | hskp14
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c2_1(X92) ) )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( ! [X93] :
          ( ~ ndr1_0
          | c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93) )
      | ! [X94] :
          ( ~ c3_1(X94)
          | c0_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ ndr1_0
          | c2_1(X95)
          | c0_1(X95)
          | ~ c1_1(X95) ) )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | ~ ndr1_0
          | c1_1(X96) )
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | ~ ndr1_0
          | c2_1(X97) )
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ ndr1_0
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp6
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0
          | ~ c1_1(X99) )
      | ! [X100] :
          ( c3_1(X100)
          | c0_1(X100)
          | ~ ndr1_0
          | c2_1(X100) ) )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ ndr1_0
          | c0_1(X101)
          | ~ c1_1(X101) )
      | ! [X102] :
          ( c2_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0
          | ~ c1_1(X102) )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c3_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X104] :
          ( ~ ndr1_0
          | c0_1(X104)
          | ~ c3_1(X104)
          | c2_1(X104) )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105) ) )
    & ( ! [X106] :
          ( ~ c0_1(X106)
          | ~ ndr1_0
          | c3_1(X106)
          | c1_1(X106) )
      | hskp2
      | ! [X107] :
          ( ~ c0_1(X107)
          | ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c3_1(X107) ) )
    & ( hskp5
      | ! [X108] :
          ( c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0
          | c2_1(X108) )
      | hskp12 )
    & ( hskp22
      | hskp1
      | hskp13 )
    & ( ~ hskp19
      | ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & ndr1_0
        & c1_1(a500) ) )
    & ( ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | c1_1(X109)
          | ~ c2_1(X109) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110) )
      | ! [X111] :
          ( c3_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0
          | c2_1(X111) ) )
    & ( ! [X112] :
          ( c0_1(X112)
          | ~ ndr1_0
          | ~ c2_1(X112)
          | c3_1(X112) )
      | ! [X113] :
          ( c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp18
      | ! [X114] :
          ( ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c0_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0
          | c1_1(X115) ) )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( hskp25
      | hskp14
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c0_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp3
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0
          | ~ c2_1(X42) )
      | hskp25 )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ndr1_0
        & c2_1(a484)
        & ~ c3_1(a484) ) )
    & ( hskp8
      | hskp7
      | hskp27 )
    & ( hskp5
      | ! [X23] :
          ( ~ ndr1_0
          | c1_1(X23)
          | c2_1(X23)
          | ~ c0_1(X23) )
      | ! [X24] :
          ( ~ c1_1(X24)
          | c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ~ c3_1(a466) )
      | ~ hskp4 )
    & ( hskp12
      | hskp11
      | hskp9 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0
          | ~ c0_1(X91) ) )
    & ( hskp18
      | hskp1
      | ! [X19] :
          ( ~ c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a463)
        & ~ c3_1(a463)
        & ndr1_0
        & ~ c1_1(a463) )
      | ~ hskp1 )
    & ( hskp7
      | ! [X22] :
          ( c0_1(X22)
          | ~ ndr1_0
          | c3_1(X22)
          | ~ c2_1(X22) )
      | hskp16 )
    & ( hskp6
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60) )
      | hskp4 )
    & ( ~ hskp0
      | ( c2_1(a462)
        & c0_1(a462)
        & ndr1_0
        & ~ c1_1(a462) ) )
    & ( hskp8
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X3] :
          ( c0_1(X3)
          | ~ c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp1
      | hskp15 )
    & ( ! [X115] :
          ( ~ c1_1(X115)
          | c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | hskp13
      | ! [X116] :
          ( ~ c0_1(X116)
          | ~ ndr1_0
          | c1_1(X116)
          | ~ c2_1(X116) ) )
    & ( hskp8
      | hskp17
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ ndr1_0
          | ~ c3_1(X107)
          | ~ c2_1(X107) ) )
    & ( ( c2_1(a477)
        & c3_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( hskp28
      | ! [X7] :
          ( c0_1(X7)
          | ~ ndr1_0
          | c1_1(X7)
          | ~ c3_1(X7) )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0
        & ~ c1_1(a487) )
      | ~ hskp16 )
    & ( hskp18
      | hskp19
      | ! [X31] :
          ( ~ ndr1_0
          | c2_1(X31)
          | c1_1(X31)
          | ~ c0_1(X31) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) ) )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | ~ ndr1_0
          | c3_1(X1)
          | ~ c2_1(X1) )
      | hskp29
      | ! [X2] :
          ( c2_1(X2)
          | ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp0
      | hskp10 )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34) )
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X33] :
          ( c2_1(X33)
          | ~ ndr1_0
          | c3_1(X33)
          | ~ c1_1(X33) )
      | ! [X32] :
          ( c1_1(X32)
          | ~ ndr1_0
          | c0_1(X32)
          | ~ c3_1(X32) )
      | hskp5 )
    & ( hskp7
      | hskp17
      | ! [X87] :
          ( c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ~ hskp30
      | ( c1_1(a488)
        & c3_1(a488)
        & c2_1(a488)
        & ndr1_0 ) )
    & ( ! [X45] :
          ( c3_1(X45)
          | ~ ndr1_0
          | ~ c1_1(X45)
          | ~ c0_1(X45) )
      | ! [X46] :
          ( c2_1(X46)
          | c3_1(X46)
          | ~ ndr1_0
          | c1_1(X46) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ c3_1(X47) ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ ndr1_0
          | c2_1(X75)
          | ~ c0_1(X75) )
      | hskp5
      | hskp17 )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( ~ hskp3
      | ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 ) )
    & ( hskp9
      | ! [X58] :
          ( c2_1(X58)
          | ~ ndr1_0
          | c1_1(X58)
          | ~ c0_1(X58) )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0
          | c0_1(X59) ) )
    & ( ! [X15] :
          ( ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0
          | c1_1(X15) )
      | ! [X14] :
          ( c0_1(X14)
          | ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14) ) )
    & ( ! [X94] :
          ( ~ c2_1(X94)
          | ~ ndr1_0
          | ~ c0_1(X94)
          | ~ c3_1(X94) )
      | ! [X95] :
          ( ~ c2_1(X95)
          | ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c1_1(X95) )
      | ! [X93] :
          ( ~ c1_1(X93)
          | ~ ndr1_0
          | ~ c0_1(X93)
          | c3_1(X93) ) )
    & ( ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0
          | ~ c1_1(X43) )
      | hskp7 )
    & ( hskp9
      | ! [X68] :
          ( ~ c0_1(X68)
          | c1_1(X68)
          | ~ ndr1_0
          | c2_1(X68) )
      | hskp17 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478) ) )
    & ( hskp6
      | ! [X18] :
          ( ~ ndr1_0
          | c2_1(X18)
          | ~ c1_1(X18)
          | c3_1(X18) )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ ndr1_0
          | c0_1(X17)
          | c2_1(X17) ) )
    & ( hskp20
      | hskp22
      | ! [X96] :
          ( ~ c1_1(X96)
          | ~ ndr1_0
          | c2_1(X96)
          | c3_1(X96) ) )
    & ( ( ~ c2_1(a482)
        & ndr1_0
        & c3_1(a482)
        & ~ c1_1(a482) )
      | ~ hskp13 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | ~ c0_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39) )
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ ndr1_0
          | ~ c1_1(X38)
          | c0_1(X38) )
      | hskp16 )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c2_1(a519)
        & ~ c0_1(a519) )
      | ~ hskp22 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ ndr1_0
          | c0_1(X69)
          | c2_1(X69) )
      | hskp0
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ ndr1_0
          | c3_1(X70)
          | ~ c2_1(X70) ) )
    & ( hskp0
      | hskp29
      | ! [X50] :
          ( c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50) ) )
    & ( hskp4
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ( ~ c1_1(a467)
        & c0_1(a467)
        & ~ c3_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( hskp17
      | hskp18
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0
          | c3_1(X30) ) )
    & ( hskp23
      | hskp5
      | hskp3 )
    & ( ~ hskp26
      | ( c1_1(a559)
        & c0_1(a559)
        & ndr1_0
        & ~ c3_1(a559) ) )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp12
      | ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0
          | ~ c0_1(X102) )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ ndr1_0
          | c1_1(X101)
          | ~ c2_1(X101) ) )
    & ( ! [X84] :
          ( ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0
          | c1_1(X84) )
      | ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0
          | c1_1(X85) )
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a479)
        & ~ c1_1(a479)
        & c0_1(a479) )
      | ~ hskp11 )
    & ( ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) )
      | ~ hskp31 )
    & ( ~ hskp20
      | ( ~ c3_1(a506)
        & c2_1(a506)
        & ndr1_0
        & c1_1(a506) ) )
    & ( ( c2_1(a507)
        & ~ c0_1(a507)
        & ndr1_0
        & ~ c1_1(a507) )
      | ~ hskp21 )
    & ( hskp1
      | ! [X29] :
          ( ~ c1_1(X29)
          | c0_1(X29)
          | ~ ndr1_0
          | ~ c2_1(X29) )
      | hskp30 )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a483)
        & ~ c0_1(a483)
        & c1_1(a483) ) )
    & ( ! [X73] :
          ( c2_1(X73)
          | ~ ndr1_0
          | c3_1(X73)
          | ~ c0_1(X73) )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c0_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X76] :
          ( ~ c1_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0
          | ~ c2_1(X76) )
      | hskp8
      | hskp13 )
    & ( ! [X78] :
          ( ~ ndr1_0
          | c3_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) )
      | hskp20
      | hskp21 )
    & ( ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0
          | c0_1(X5) )
      | ! [X6] :
          ( c3_1(X6)
          | c0_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0
          | ~ c1_1(X4) ) )
    & ( ~ hskp17
      | ( c2_1(a493)
        & ndr1_0
        & c3_1(a493)
        & ~ c0_1(a493) ) )
    & ( hskp16
      | ! [X21] :
          ( c1_1(X21)
          | ~ ndr1_0
          | ~ c0_1(X21)
          | c3_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c1_1(X20) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a464)
        & ~ c2_1(a464)
        & ~ c0_1(a464) ) )
    & ( hskp24
      | hskp10
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0
          | ~ c0_1(X86) ) )
    & ( hskp3
      | ! [X61] :
          ( c1_1(X61)
          | ~ ndr1_0
          | c2_1(X61)
          | c0_1(X61) )
      | hskp4 )
    & ( ~ hskp7
      | ( c0_1(a471)
        & c3_1(a471)
        & ndr1_0
        & ~ c2_1(a471) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55) )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ ndr1_0
          | ~ c1_1(X54)
          | ~ c0_1(X54) )
      | ! [X53] :
          ( c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( c3_1(X108)
          | c2_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ( c1_1(a472)
        & c3_1(a472)
        & ndr1_0
        & ~ c2_1(a472) )
      | ~ hskp8 )
    & ( ! [X51] :
          ( c2_1(X51)
          | ~ ndr1_0
          | ~ c1_1(X51)
          | ~ c3_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | c0_1(X52)
          | c2_1(X52) )
      | hskp10 )
    & ( ~ hskp27
      | ( ~ c1_1(a576)
        & ~ c3_1(a576)
        & ~ c2_1(a576)
        & ndr1_0 ) )
    & ( ! [X9] :
          ( c2_1(X9)
          | ~ ndr1_0
          | c1_1(X9)
          | c3_1(X9) )
      | hskp14
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | c2_1(X10)
          | c3_1(X10) ) )
    & ( hskp18
      | ! [X97] :
          ( c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp7
      | hskp8
      | ! [X89] :
          ( c3_1(X89)
          | c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X64] :
          ( c1_1(X64)
          | ~ ndr1_0
          | c2_1(X64)
          | ~ c0_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | ~ c3_1(X65)
          | c2_1(X65) ) )
    & ( hskp12
      | hskp30
      | ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0
          | ~ c0_1(X88) ) )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( hskp5
      | ! [X62] :
          ( ~ c1_1(X62)
          | c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & ndr1_0
        & c0_1(a494) )
      | ~ hskp18 )
    & ( ! [X99] :
          ( ~ c1_1(X99)
          | ~ ndr1_0
          | c2_1(X99)
          | c3_1(X99) )
      | ! [X98] :
          ( c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0
          | c2_1(X98) )
      | ! [X100] :
          ( c1_1(X100)
          | c3_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a525)
        & ~ c2_1(a525)
        & c1_1(a525) )
      | ~ hskp24 )
    & ( ! [X16] :
          ( c2_1(X16)
          | c1_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103) )
      | ! [X104] :
          ( c3_1(X104)
          | ~ ndr1_0
          | ~ c2_1(X104)
          | ~ c0_1(X104) )
      | hskp31 )
    & ( ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ ndr1_0
          | ~ c1_1(X82)
          | c0_1(X82) )
      | ! [X81] :
          ( c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0
          | c3_1(X81) ) )
    & ( ( c0_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c2_1(a474) )
      | ~ hskp29 )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ~ c2_1(a470) ) )
    & ( ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c2_1(X48)
          | c3_1(X48) )
      | ! [X49] :
          ( c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp9
      | hskp23
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80) ) )
    & ( ~ hskp12
      | ( ~ c3_1(a481)
        & ndr1_0
        & ~ c0_1(a481)
        & c1_1(a481) ) )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c3_1(a469)
        & c0_1(a469)
        & ndr1_0 ) )
    & ( hskp30
      | hskp21
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp9
      | hskp29 )
    & ( hskp10
      | hskp14
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ ndr1_0
          | ~ c1_1(X25)
          | ~ c2_1(X25) ) )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( ! [X109] :
          ( ~ ndr1_0
          | c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109) )
      | ! [X110] :
          ( ~ c3_1(X110)
          | c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ ndr1_0
          | c2_1(X111)
          | c0_1(X111)
          | ~ c1_1(X111) ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0
          | c1_1(X27) )
      | ! [X28] :
          ( ~ c1_1(X28)
          | c3_1(X28)
          | ~ ndr1_0
          | c2_1(X28) )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ ndr1_0
          | ~ c0_1(X26)
          | c1_1(X26) ) )
    & ( hskp6
      | ! [X71] :
          ( ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0
          | ~ c1_1(X71) )
      | ! [X72] :
          ( c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0
          | c2_1(X72) ) )
    & ( ! [X112] :
          ( c3_1(X112)
          | ~ ndr1_0
          | c0_1(X112)
          | ~ c1_1(X112) )
      | ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ ndr1_0
          | ~ c1_1(X113) )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c3_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ ndr1_0
          | c0_1(X57)
          | ~ c3_1(X57)
          | c2_1(X57) )
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c2_1(X56) ) )
    & ( ! [X41] :
          ( ~ c0_1(X41)
          | ~ ndr1_0
          | c3_1(X41)
          | c1_1(X41) )
      | hskp2
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ ndr1_0
          | ~ c1_1(X40)
          | ~ c3_1(X40) ) )
    & ( hskp5
      | ! [X90] :
          ( c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0
          | c2_1(X90) )
      | hskp12 )
    & ( hskp22
      | hskp1
      | hskp13 )
    & ( ~ hskp19
      | ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & ndr1_0
        & c1_1(a500) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0
          | c2_1(X11) ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ ndr1_0
          | ~ c2_1(X37)
          | c3_1(X37) )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp18
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0
          | c1_1(X105) ) )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( hskp25
      | hskp14
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ~ hskp23
      | ( ndr1_0
        & ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) ) )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | c0_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp1
      | hskp30 )
    & ( hskp21
      | hskp17
      | ! [X0] :
          ( c1_1(X0)
          | ~ c3_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X3] :
          ( c0_1(X3)
          | ~ c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp20
      | hskp22
      | ! [X96] :
          ( ~ c1_1(X96)
          | c3_1(X96)
          | c2_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp29
      | ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | c2_1(X50)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c1_1(X36)
          | c0_1(X36)
          | ~ ndr1_0 )
      | hskp14
      | ! [X37] :
          ( c0_1(X37)
          | ~ c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0
        & ~ c1_1(a487) )
      | ~ hskp16 )
    & ( ( c2_1(a477)
        & c3_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) )
      | ~ hskp31 )
    & ( ( c2_1(a507)
        & ~ c0_1(a507)
        & ndr1_0
        & ~ c1_1(a507) )
      | ~ hskp21 )
    & ( ( c0_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c2_1(a474) )
      | ~ hskp29 )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( ! [X19] :
          ( c1_1(X19)
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp18
      | hskp1 )
    & ( ! [X43] :
          ( ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp7
      | ! [X44] :
          ( c3_1(X44)
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a464)
        & ~ c2_1(a464)
        & ~ c0_1(a464) ) )
    & ( ! [X16] :
          ( c2_1(X16)
          | c1_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp13
      | hskp8 )
    & ( ( c1_1(a472)
        & c3_1(a472)
        & ndr1_0
        & ~ c2_1(a472) )
      | ~ hskp8 )
    & ( hskp17
      | hskp5
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | hskp6
      | ! [X18] :
          ( c3_1(X18)
          | c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c0_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | hskp0
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X27] :
          ( c2_1(X27)
          | ~ c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c3_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 ) )
    & ( ~ hskp30
      | ( c1_1(a488)
        & c3_1(a488)
        & c2_1(a488)
        & ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478) ) )
    & ( ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp24
      | hskp8 )
    & ( ( ~ c2_1(a482)
        & ndr1_0
        & c3_1(a482)
        & ~ c1_1(a482) )
      | ~ hskp13 )
    & ( hskp7
      | ! [X22] :
          ( c3_1(X22)
          | ~ c2_1(X22)
          | c0_1(X22)
          | ~ ndr1_0 )
      | hskp16 )
    & ( hskp5
      | ! [X62] :
          ( c2_1(X62)
          | c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | ~ c2_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c0_1(X113)
          | c2_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | hskp29
      | ! [X65] :
          ( c2_1(X65)
          | ~ c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp24 )
    & ( hskp15
      | hskp9
      | hskp29 )
    & ( ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp31
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a483)
        & ~ c0_1(a483)
        & c1_1(a483) ) )
    & ( ! [X58] :
          ( ~ c0_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | hskp9
      | ! [X59] :
          ( ~ c3_1(X59)
          | c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp30
      | hskp12
      | ! [X88] :
          ( ~ c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ~ c2_1(a470) ) )
    & ( ~ hskp17
      | ( c2_1(a493)
        & ndr1_0
        & c3_1(a493)
        & ~ c0_1(a493) ) )
    & ( hskp12
      | hskp11
      | hskp9 )
    & ( ! [X105] :
          ( c1_1(X105)
          | ~ c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp18
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ~ c3_1(a466) )
      | ~ hskp4 )
    & ( hskp23
      | hskp5
      | hskp3 )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c3_1(a469)
        & c0_1(a469)
        & ndr1_0 ) )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp14
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ( c2_1(a463)
        & ~ c3_1(a463)
        & ndr1_0
        & ~ c1_1(a463) )
      | ~ hskp1 )
    & ( hskp4
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ( ndr1_0
        & c3_1(a479)
        & ~ c1_1(a479)
        & c0_1(a479) )
      | ~ hskp11 )
    & ( hskp5
      | ! [X23] :
          ( c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X103] :
          ( ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ~ hskp19
      | ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & ndr1_0
        & c1_1(a500) ) )
    & ( hskp11
      | ! [X57] :
          ( c2_1(X57)
          | ~ c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & ndr1_0
        & c0_1(a494) )
      | ~ hskp18 )
    & ( hskp8
      | hskp7
      | hskp27 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c0_1(X110)
          | c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ndr1_0
        & c2_1(a484)
        & ~ c3_1(a484) ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c0_1(X101)
          | c1_1(X101)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X90] :
          ( c0_1(X90)
          | ~ c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | hskp12
      | hskp5 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ~ hskp7
      | ( c0_1(a471)
        & c3_1(a471)
        & ndr1_0
        & ~ c2_1(a471) ) )
    & ( hskp9
      | ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | hskp23 )
    & ( hskp21
      | hskp20
      | ! [X78] :
          ( c3_1(X78)
          | c1_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c1_1(X100)
          | c3_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ~ c3_1(a481)
        & ndr1_0
        & ~ c0_1(a481)
        & c1_1(a481) ) )
    & ( ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c3_1(X1)
          | ~ c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp29 )
    & ( hskp2
      | ! [X85] :
          ( c3_1(X85)
          | c2_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c0_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c1_1(X81)
          | c0_1(X81)
          | c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c0_1(X82)
          | ~ c3_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( ( ~ c1_1(a467)
        & c0_1(a467)
        & ~ c3_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c0_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp17
      | hskp18
      | ! [X30] :
          ( c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c2_1(a519)
        & ~ c0_1(a519) )
      | ~ hskp22 )
    & ( hskp0
      | ! [X49] :
          ( c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | ~ c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( hskp18
      | hskp6
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c3_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp1
      | hskp13 )
    & ( hskp19
      | hskp18
      | ! [X31] :
          ( c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( ~ hskp0
      | ( c2_1(a462)
        & c0_1(a462)
        & ndr1_0
        & ~ c1_1(a462) ) )
    & ( ! [X5] :
          ( c3_1(X5)
          | c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | ~ c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c3_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp2
      | ! [X41] :
          ( c3_1(X41)
          | c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( ! [X14] :
          ( ~ c1_1(X14)
          | ~ c2_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( hskp7
      | hskp8
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X87] :
          ( c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X115] :
          ( ~ c1_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c0_1(X116)
          | ~ c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 ) )
    & ( ~ hskp20
      | ( ~ c3_1(a506)
        & c2_1(a506)
        & ndr1_0
        & c1_1(a506) ) )
    & ( ~ hskp26
      | ( c1_1(a559)
        & c0_1(a559)
        & ndr1_0
        & ~ c3_1(a559) ) )
    & ( ! [X20] :
          ( c3_1(X20)
          | c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X10] :
          ( c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp14
      | ! [X9] :
          ( c3_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp9
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c3_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X66] :
          ( ~ c2_1(X66)
          | c1_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ~ hskp27
      | ( ~ c1_1(a576)
        & ~ c3_1(a576)
        & ~ c2_1(a576)
        & ndr1_0 ) )
    & ( hskp30
      | hskp0
      | hskp10 )
    & ( hskp16
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a525)
        & ~ c2_1(a525)
        & c1_1(a525) )
      | ~ hskp24 )
    & ( ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ~ hskp23
      | ( ndr1_0
        & ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c0_1(X29)
            | ~ c2_1(X29) ) )
      | hskp1
      | hskp30 )
    & ( hskp21
      | hskp17
      | ! [X0] :
          ( ndr1_0
         => ( c1_1(X0)
            | ~ c3_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp1
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | ~ c2_1(X3)
            | c3_1(X3) ) )
      | hskp15 )
    & ( hskp20
      | hskp22
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | c3_1(X96)
            | c2_1(X96) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c1_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | c0_1(X7)
            | ~ c3_1(X7) ) )
      | hskp28 )
    & ( hskp29
      | ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | c2_1(X50) ) )
      | hskp0 )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c0_1(X93)
            | c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c3_1(X94)
            | ~ c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | ~ c3_1(X95)
            | ~ c2_1(X95) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c1_1(X36)
            | c0_1(X36) ) )
      | hskp14
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c2_1(X37)
            | c3_1(X37) ) ) )
    & ( ( c0_1(a487)
        & ~ c2_1(a487)
        & ndr1_0
        & ~ c1_1(a487) )
      | ~ hskp16 )
    & ( ( c2_1(a477)
        & c3_1(a477)
        & ~ c1_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a529)
        & c3_1(a529)
        & ndr1_0
        & c0_1(a529) )
      | ~ hskp31 )
    & ( ( c2_1(a507)
        & ~ c0_1(a507)
        & ndr1_0
        & ~ c1_1(a507) )
      | ~ hskp21 )
    & ( ( c0_1(a474)
        & ndr1_0
        & c1_1(a474)
        & c2_1(a474) )
      | ~ hskp29 )
    & ( hskp26
      | hskp2
      | hskp23 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c1_1(X19)
            | c3_1(X19)
            | ~ c0_1(X19) ) )
      | hskp18
      | hskp1 )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c3_1(X43)
            | ~ c1_1(X43) ) )
      | hskp7
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c2_1(X44)
            | ~ c0_1(X44) ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a464)
        & ~ c2_1(a464)
        & ~ c0_1(a464) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) )
      | hskp2
      | hskp1 )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | ~ c2_1(X76) ) )
      | hskp13
      | hskp8 )
    & ( ( c1_1(a472)
        & c3_1(a472)
        & ndr1_0
        & ~ c2_1(a472) )
      | ~ hskp8 )
    & ( hskp17
      | hskp5
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | ~ c1_1(X17) ) )
      | hskp6
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | ~ c1_1(X18) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | hskp0
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | ~ c0_1(X70) ) ) )
    & ( hskp3
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c3_1(X42)
            | ~ c0_1(X42) ) )
      | hskp25 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | ~ c3_1(X27)
            | c1_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c3_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | ~ c1_1(X28)
            | c2_1(X28) ) ) )
    & ( ~ hskp30
      | ( c1_1(a488)
        & c3_1(a488)
        & c2_1(a488)
        & ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a478)
        & ~ c3_1(a478)
        & c2_1(a478) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp24
      | hskp8 )
    & ( ( ~ c2_1(a482)
        & ndr1_0
        & c3_1(a482)
        & ~ c1_1(a482) )
      | ~ hskp13 )
    & ( hskp7
      | ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | ~ c2_1(X22)
            | c0_1(X22) ) )
      | hskp16 )
    & ( hskp5
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | c0_1(X62)
            | ~ c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | c0_1(X112)
            | c3_1(X112) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c2_1(X114)
            | c1_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | c2_1(X113)
            | ~ c1_1(X113) ) ) )
    & ( hskp6
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c3_1(X71)
            | ~ c0_1(X71) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c2_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp10 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c1_1(X64)
            | ~ c0_1(X64) ) )
      | hskp29
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp10
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | ~ c0_1(X86) ) )
      | hskp24 )
    & ( hskp15
      | hskp9
      | hskp29 )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | ~ c1_1(X34) ) )
      | hskp31
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c2_1(X35)
            | ~ c1_1(X35) ) ) )
    & ( hskp17
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c1_1(X107) ) )
      | hskp8 )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | ~ c2_1(X25) ) )
      | hskp14
      | hskp10 )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a483)
        & ~ c0_1(a483)
        & c1_1(a483) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) )
      | hskp9
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c0_1(X59)
            | c2_1(X59) ) ) )
    & ( hskp4
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c0_1(X60)
            | ~ c2_1(X60) ) )
      | hskp6 )
    & ( hskp30
      | hskp12
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ~ c2_1(a470) ) )
    & ( ~ hskp17
      | ( c2_1(a493)
        & ndr1_0
        & c3_1(a493)
        & ~ c0_1(a493) ) )
    & ( hskp12
      | hskp11
      | hskp9 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c1_1(X105)
            | ~ c3_1(X105)
            | ~ c0_1(X105) ) )
      | hskp18
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c1_1(X106)
            | ~ c0_1(X106) ) ) )
    & ( ( ndr1_0
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ~ c3_1(a466) )
      | ~ hskp4 )
    & ( hskp23
      | hskp5
      | hskp3 )
    & ( ~ hskp28
      | ( c2_1(a469)
        & c3_1(a469)
        & c0_1(a469)
        & ndr1_0 ) )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp14
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | ~ c3_1(X79) ) )
      | hskp25 )
    & ( ( c2_1(a463)
        & ~ c3_1(a463)
        & ndr1_0
        & ~ c1_1(a463) )
      | ~ hskp1 )
    & ( hskp4
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c2_1(X67)
            | ~ c0_1(X67) ) )
      | hskp18 )
    & ( ( ndr1_0
        & c3_1(a479)
        & ~ c1_1(a479)
        & c0_1(a479) )
      | ~ hskp11 )
    & ( hskp5
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | ~ c0_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | ~ c3_1(X24)
            | ~ c1_1(X24) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | ~ c3_1(X74) ) )
      | hskp6 )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) )
      | hskp31 )
    & ( ~ hskp19
      | ( ~ c2_1(a500)
        & ~ c3_1(a500)
        & ndr1_0
        & c1_1(a500) ) )
    & ( hskp11
      | ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | ~ c3_1(X57)
            | c0_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c1_1(X56) ) ) )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & ndr1_0
        & c0_1(a494) )
      | ~ hskp18 )
    & ( hskp8
      | hskp7
      | hskp27 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c0_1(X109) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c0_1(X111)
            | ~ c1_1(X111) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c0_1(X110)
            | c1_1(X110)
            | ~ c3_1(X110) ) ) )
    & ( ~ hskp15
      | ( c0_1(a484)
        & ndr1_0
        & c2_1(a484)
        & ~ c3_1(a484) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c2_1(X102)
            | ~ c3_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c0_1(X101)
            | c1_1(X101) ) )
      | hskp12 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c0_1(X90)
            | ~ c3_1(X90)
            | c2_1(X90) ) )
      | hskp12
      | hskp5 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c1_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) )
      | hskp5 )
    & ( ~ hskp7
      | ( c0_1(a471)
        & c3_1(a471)
        & ndr1_0
        & ~ c2_1(a471) ) )
    & ( hskp9
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) )
      | hskp23 )
    & ( hskp21
      | hskp20
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c1_1(X78)
            | ~ c0_1(X78) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c1_1(X98)
            | c0_1(X98) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | c3_1(X100)
            | c0_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) ) )
    & ( ~ hskp12
      | ( ~ c3_1(a481)
        & ndr1_0
        & ~ c0_1(a481)
        & c1_1(a481) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | ~ c1_1(X1)
            | ~ c2_1(X1) ) )
      | hskp29 )
    & ( hskp2
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c2_1(X85)
            | c1_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c0_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c0_1(X81)
            | c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c3_1(X82)
            | ~ c1_1(X82) ) ) )
    & ( hskp31
      | hskp19
      | hskp10 )
    & ( ( ~ c1_1(a467)
        & c0_1(a467)
        & ~ c3_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c3_1(X53)
            | c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c0_1(X54)
            | ~ c1_1(X54) ) ) )
    & ( hskp9
      | ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | hskp17 )
    & ( hskp17
      | hskp18
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | ~ c2_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( ( ndr1_0
        & c1_1(a519)
        & ~ c2_1(a519)
        & ~ c0_1(a519) )
      | ~ hskp22 )
    & ( hskp0
      | ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | ~ c1_1(X48)
            | c2_1(X48) ) ) )
    & ( hskp29
      | hskp12
      | hskp3 )
    & ( hskp18
      | hskp6
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c3_1(X97)
            | c0_1(X97) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c3_1(X47)
            | ~ c2_1(X47) ) ) )
    & ( hskp22
      | hskp1
      | hskp13 )
    & ( hskp19
      | hskp18
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) ) )
    & ( ~ hskp0
      | ( c2_1(a462)
        & c0_1(a462)
        & ndr1_0
        & ~ c1_1(a462) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c0_1(X5)
            | c2_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | ~ c1_1(X4)
            | c2_1(X4) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c3_1(X6)
            | ~ c1_1(X6) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c0_1(X12)
            | ~ c2_1(X12) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | hskp2
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c1_1(X41)
            | ~ c0_1(X41) ) ) )
    & ( hskp25
      | hskp0
      | hskp14 )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c2_1(X14)
            | c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c1_1(X15)
            | c2_1(X15) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | c1_1(X61)
            | c0_1(X61) ) )
      | hskp3
      | hskp4 )
    & ( hskp7
      | hskp8
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp17
      | hskp7
      | ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) ) )
    & ( hskp13
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | c3_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c0_1(X116)
            | ~ c2_1(X116)
            | c1_1(X116) ) ) )
    & ( ~ hskp3
      | ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 ) )
    & ( ~ hskp20
      | ( ~ c3_1(a506)
        & c2_1(a506)
        & ndr1_0
        & c1_1(a506) ) )
    & ( ~ hskp26
      | ( c1_1(a559)
        & c0_1(a559)
        & ndr1_0
        & ~ c3_1(a559) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c2_1(X20)
            | c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c1_1(X21) ) )
      | hskp16 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) )
      | hskp14
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp11
      | hskp9
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c2_1(X108)
            | c3_1(X108) ) ) )
    & ( hskp21
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c1_1(X66)
            | c3_1(X66) ) )
      | hskp30 )
    & ( ~ hskp27
      | ( ~ c1_1(a576)
        & ~ c3_1(a576)
        & ~ c2_1(a576)
        & ndr1_0 ) )
    & ( hskp30
      | hskp0
      | hskp10 )
    & ( hskp16
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c3_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c3_1(X38)
            | ~ c1_1(X38) ) ) )
    & ( ( ndr1_0
        & c0_1(a525)
        & ~ c2_1(a525)
        & c1_1(a525) )
      | ~ hskp24 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | ~ c2_1(X91)
            | ~ c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c0_1(X92)
            | c3_1(X92) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ hskp23
          | ( ndr1_0
            & ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c0_1(X29)
                | ~ c2_1(X29) ) )
          | hskp1
          | hskp30 )
        & ( hskp21
          | hskp17
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | ~ c3_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | ~ c2_1(X3)
                | c3_1(X3) ) )
          | hskp15 )
        & ( hskp20
          | hskp22
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | c3_1(X96)
                | c2_1(X96) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c0_1(X7)
                | ~ c3_1(X7) ) )
          | hskp28 )
        & ( hskp29
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | c2_1(X50) ) )
          | hskp0 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c3_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c3_1(X95)
                | ~ c2_1(X95) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) )
          | hskp14
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c2_1(X37)
                | c3_1(X37) ) ) )
        & ( ( c0_1(a487)
            & ~ c2_1(a487)
            & ndr1_0
            & ~ c1_1(a487) )
          | ~ hskp16 )
        & ( ( c2_1(a477)
            & c3_1(a477)
            & ~ c1_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( c1_1(a529)
            & c3_1(a529)
            & ndr1_0
            & c0_1(a529) )
          | ~ hskp31 )
        & ( ( c2_1(a507)
            & ~ c0_1(a507)
            & ndr1_0
            & ~ c1_1(a507) )
          | ~ hskp21 )
        & ( ( c0_1(a474)
            & ndr1_0
            & c1_1(a474)
            & c2_1(a474) )
          | ~ hskp29 )
        & ( hskp26
          | hskp2
          | hskp23 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c3_1(X19)
                | ~ c0_1(X19) ) )
          | hskp18
          | hskp1 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c3_1(X43)
                | ~ c1_1(X43) ) )
          | hskp7
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a464)
            & ~ c2_1(a464)
            & ~ c0_1(a464) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) )
          | hskp2
          | hskp1 )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c2_1(X76) ) )
          | hskp13
          | hskp8 )
        & ( ( c1_1(a472)
            & c3_1(a472)
            & ndr1_0
            & ~ c2_1(a472) )
          | ~ hskp8 )
        & ( hskp17
          | hskp5
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c1_1(X17) ) )
          | hskp6
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | ~ c1_1(X18) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | hskp0
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) ) )
        & ( hskp3
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c3_1(X42)
                | ~ c0_1(X42) ) )
          | hskp25 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c3_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c3_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | ~ c1_1(X28)
                | c2_1(X28) ) ) )
        & ( ~ hskp30
          | ( c1_1(a488)
            & c3_1(a488)
            & c2_1(a488)
            & ndr1_0 ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a478)
            & ~ c3_1(a478)
            & c2_1(a478) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp24
          | hskp8 )
        & ( ( ~ c2_1(a482)
            & ndr1_0
            & c3_1(a482)
            & ~ c1_1(a482) )
          | ~ hskp13 )
        & ( hskp7
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | ~ c2_1(X22)
                | c0_1(X22) ) )
          | hskp16 )
        & ( hskp5
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | c0_1(X62)
                | ~ c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | c0_1(X112)
                | c3_1(X112) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c2_1(X114)
                | c1_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | c2_1(X113)
                | ~ c1_1(X113) ) ) )
        & ( hskp6
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c3_1(X71)
                | ~ c0_1(X71) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp10 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c1_1(X64)
                | ~ c0_1(X64) ) )
          | hskp29
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp10
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | hskp24 )
        & ( hskp15
          | hskp9
          | hskp29 )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | ~ c1_1(X34) ) )
          | hskp31
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) ) )
        & ( hskp17
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) )
          | hskp8 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | ~ c2_1(X25) ) )
          | hskp14
          | hskp10 )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a483)
            & ~ c0_1(a483)
            & c1_1(a483) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | hskp9
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c0_1(X59)
                | c2_1(X59) ) ) )
        & ( hskp4
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) )
          | hskp6 )
        & ( hskp30
          | hskp12
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ~ c2_1(a470) ) )
        & ( ~ hskp17
          | ( c2_1(a493)
            & ndr1_0
            & c3_1(a493)
            & ~ c0_1(a493) ) )
        & ( hskp12
          | hskp11
          | hskp9 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | ~ c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp18
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ~ c3_1(a466) )
          | ~ hskp4 )
        & ( hskp23
          | hskp5
          | hskp3 )
        & ( ~ hskp28
          | ( c2_1(a469)
            & c3_1(a469)
            & c0_1(a469)
            & ndr1_0 ) )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp14
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) )
          | hskp25 )
        & ( ( c2_1(a463)
            & ~ c3_1(a463)
            & ndr1_0
            & ~ c1_1(a463) )
          | ~ hskp1 )
        & ( hskp4
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c2_1(X67)
                | ~ c0_1(X67) ) )
          | hskp18 )
        & ( ( ndr1_0
            & c3_1(a479)
            & ~ c1_1(a479)
            & c0_1(a479) )
          | ~ hskp11 )
        & ( hskp5
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | ~ c3_1(X24)
                | ~ c1_1(X24) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | hskp6 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) )
          | hskp31 )
        & ( ~ hskp19
          | ( ~ c2_1(a500)
            & ~ c3_1(a500)
            & ndr1_0
            & c1_1(a500) ) )
        & ( hskp11
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c3_1(X57)
                | c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) ) )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & ndr1_0
            & c0_1(a494) )
          | ~ hskp18 )
        & ( hskp8
          | hskp7
          | hskp27 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c0_1(X109) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c0_1(X111)
                | ~ c1_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c0_1(X110)
                | c1_1(X110)
                | ~ c3_1(X110) ) ) )
        & ( ~ hskp15
          | ( c0_1(a484)
            & ndr1_0
            & c2_1(a484)
            & ~ c3_1(a484) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c2_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c1_1(X101) ) )
          | hskp12 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c0_1(X90)
                | ~ c3_1(X90)
                | c2_1(X90) ) )
          | hskp12
          | hskp5 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c1_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | hskp5 )
        & ( ~ hskp7
          | ( c0_1(a471)
            & c3_1(a471)
            & ndr1_0
            & ~ c2_1(a471) ) )
        & ( hskp9
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | hskp23 )
        & ( hskp21
          | hskp20
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c1_1(X78)
                | ~ c0_1(X78) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c1_1(X98)
                | c0_1(X98) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | c3_1(X100)
                | c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( ~ hskp12
          | ( ~ c3_1(a481)
            & ndr1_0
            & ~ c0_1(a481)
            & c1_1(a481) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | ~ c1_1(X1)
                | ~ c2_1(X1) ) )
          | hskp29 )
        & ( hskp2
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c0_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c0_1(X81)
                | c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c3_1(X82)
                | ~ c1_1(X82) ) ) )
        & ( hskp31
          | hskp19
          | hskp10 )
        & ( ( ~ c1_1(a467)
            & c0_1(a467)
            & ~ c3_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c3_1(X53)
                | c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( hskp9
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | hskp17 )
        & ( hskp17
          | hskp18
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ( ndr1_0
            & c1_1(a519)
            & ~ c2_1(a519)
            & ~ c0_1(a519) )
          | ~ hskp22 )
        & ( hskp0
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | c2_1(X48) ) ) )
        & ( hskp29
          | hskp12
          | hskp3 )
        & ( hskp18
          | hskp6
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c3_1(X97)
                | c0_1(X97) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c3_1(X47)
                | ~ c2_1(X47) ) ) )
        & ( hskp22
          | hskp1
          | hskp13 )
        & ( hskp19
          | hskp18
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) ) )
        & ( ~ hskp0
          | ( c2_1(a462)
            & c0_1(a462)
            & ndr1_0
            & ~ c1_1(a462) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c0_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | ~ c1_1(X4)
                | c2_1(X4) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c3_1(X6)
                | ~ c1_1(X6) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c0_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | hskp2
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c1_1(X41)
                | ~ c0_1(X41) ) ) )
        & ( hskp25
          | hskp0
          | hskp14 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c2_1(X14)
                | c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c1_1(X15)
                | c2_1(X15) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | c0_1(X61) ) )
          | hskp3
          | hskp4 )
        & ( hskp7
          | hskp8
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp17
          | hskp7
          | ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( hskp13
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | c3_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c2_1(X116)
                | c1_1(X116) ) ) )
        & ( ~ hskp3
          | ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 ) )
        & ( ~ hskp20
          | ( ~ c3_1(a506)
            & c2_1(a506)
            & ndr1_0
            & c1_1(a506) ) )
        & ( ~ hskp26
          | ( c1_1(a559)
            & c0_1(a559)
            & ndr1_0
            & ~ c3_1(a559) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) )
          | hskp16 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | hskp14
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp11
          | hskp9
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c2_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp21
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c1_1(X66)
                | c3_1(X66) ) )
          | hskp30 )
        & ( ~ hskp27
          | ( ~ c1_1(a576)
            & ~ c3_1(a576)
            & ~ c2_1(a576)
            & ndr1_0 ) )
        & ( hskp30
          | hskp0
          | hskp10 )
        & ( hskp16
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c3_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c3_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ( ndr1_0
            & c0_1(a525)
            & ~ c2_1(a525)
            & c1_1(a525) )
          | ~ hskp24 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp8
          | hskp7
          | hskp27 )
        & ( ~ hskp19
          | ( ~ c2_1(a500)
            & ~ c3_1(a500)
            & ndr1_0
            & c1_1(a500) ) )
        & ( hskp17
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) )
          | hskp21 )
        & ( hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c2_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c0_1(X47)
                | ~ c2_1(X47) ) )
          | hskp1
          | hskp15 )
        & ( ( ndr1_0
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ~ c3_1(a466) )
          | ~ hskp4 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c3_1(X20)
                | c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) )
          | hskp28 )
        & ( ~ hskp12
          | ( ~ c3_1(a481)
            & ndr1_0
            & ~ c0_1(a481)
            & c1_1(a481) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | hskp14
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c1_1(X69) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c0_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) ) )
        & ( hskp6
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | hskp18
          | hskp1 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c1_1(X64)
                | c3_1(X64) ) )
          | hskp16
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp7
          | ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | hskp16 )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a478)
            & ~ c3_1(a478)
            & c2_1(a478) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c0_1(X52)
                | ~ c3_1(X52) ) )
          | hskp5 )
        & ( hskp14
          | hskp10
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c1_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545) ) )
        & ( hskp1
          | ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c2_1(X51)
                | ~ c1_1(X51) ) )
          | hskp30 )
        & ( ~ hskp15
          | ( c0_1(a484)
            & ndr1_0
            & c2_1(a484)
            & ~ c3_1(a484) ) )
        & ( hskp18
          | hskp17
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) ) )
        & ( ~ hskp0
          | ( c2_1(a462)
            & c0_1(a462)
            & ndr1_0
            & ~ c1_1(a462) ) )
        & ( ~ hskp27
          | ( ~ c1_1(a576)
            & ~ c3_1(a576)
            & ~ c2_1(a576)
            & ndr1_0 ) )
        & ( hskp19
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) ) )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c0_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c1_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp31
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a483)
            & ~ c0_1(a483)
            & c1_1(a483) ) )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c0_1(X45)
                | c3_1(X45) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | hskp16 )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c3_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | hskp2 )
        & ( hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | ~ c3_1(X115) ) )
          | hskp3 )
        & ( hskp30
          | hskp0
          | hskp10 )
        & ( hskp7
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c3_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp12
          | hskp11
          | hskp9 )
        & ( hskp25
          | hskp0
          | hskp14 )
        & ( hskp15
          | hskp9
          | hskp29 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | ~ c1_1(X86) ) )
          | hskp0
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( hskp29
          | hskp0
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c0_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ( ndr1_0
            & c1_1(a519)
            & ~ c2_1(a519)
            & ~ c0_1(a519) )
          | ~ hskp22 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c2_1(X60)
                | ~ c1_1(X60) ) ) )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & ndr1_0
            & c0_1(a494) )
          | ~ hskp18 )
        & ( hskp11
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c3_1(X38)
                | ~ c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ( c1_1(a472)
            & c3_1(a472)
            & ndr1_0
            & ~ c2_1(a472) )
          | ~ hskp8 )
        & ( hskp9
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c3_1(X33)
                | c0_1(X33) ) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a464)
            & ~ c2_1(a464)
            & ~ c0_1(a464) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp4
          | hskp6 )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) ) )
        & ( ~ hskp20
          | ( ~ c3_1(a506)
            & c2_1(a506)
            & ndr1_0
            & c1_1(a506) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c3_1(X7)
                | c0_1(X7) ) )
          | hskp5 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c1_1(X32)
                | ~ c0_1(X32) ) )
          | hskp29
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c0_1(X31)
                | c2_1(X31) ) ) )
        & ( hskp21
          | hskp30
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( ( c2_1(a477)
            & c3_1(a477)
            & ~ c1_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | ~ c2_1(X109) ) )
          | hskp4
          | hskp18 )
        & ( ~ hskp7
          | ( c0_1(a471)
            & c3_1(a471)
            & ndr1_0
            & ~ c2_1(a471) ) )
        & ( ( ~ c2_1(a482)
            & ndr1_0
            & c3_1(a482)
            & ~ c1_1(a482) )
          | ~ hskp13 )
        & ( hskp17
          | hskp9
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c1_1(X71)
                | c2_1(X71) ) ) )
        & ( hskp0
          | ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c0_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | ~ c0_1(X26) ) )
          | hskp6
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) ) )
        & ( ( c0_1(a487)
            & ~ c2_1(a487)
            & ndr1_0
            & ~ c1_1(a487) )
          | ~ hskp16 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) )
          | hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp17
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c2_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( hskp8
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) )
          | hskp13 )
        & ( hskp8
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c1_1(X100)
                | c3_1(X100) ) )
          | hskp24 )
        & ( hskp21
          | hskp20
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c1_1(X78)
                | ~ c0_1(X78) ) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521) ) )
        & ( ( ndr1_0
            & c0_1(a525)
            & ~ c2_1(a525)
            & c1_1(a525) )
          | ~ hskp24 )
        & ( hskp31
          | hskp19
          | hskp10 )
        & ( hskp22
          | hskp1
          | hskp13 )
        & ( hskp25
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp14 )
        & ( hskp9
          | hskp23
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c2_1(X93)
                | c3_1(X93) ) ) )
        & ( ( c1_1(a529)
            & c3_1(a529)
            & ndr1_0
            & c0_1(a529) )
          | ~ hskp31 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c0_1(X10)
                | ~ c1_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c1_1(X11)
                | ~ c3_1(X11) ) ) )
        & ( ( c2_1(a507)
            & ~ c0_1(a507)
            & ndr1_0
            & ~ c1_1(a507) )
          | ~ hskp21 )
        & ( hskp29
          | hskp12
          | hskp3 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c3_1(X67)
                | ~ c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | hskp2 )
        & ( hskp24
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c3_1(X113)
                | ~ c2_1(X113) ) )
          | hskp10 )
        & ( ( c0_1(a474)
            & ndr1_0
            & c1_1(a474)
            & c2_1(a474) )
          | ~ hskp29 )
        & ( hskp23
          | hskp5
          | hskp3 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c0_1(X62)
                | ~ c2_1(X62) ) )
          | hskp7
          | hskp17 )
        & ( ( ~ c1_1(a467)
            & c0_1(a467)
            & ~ c3_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( c2_1(a463)
            & ~ c3_1(a463)
            & ndr1_0
            & ~ c1_1(a463) )
          | ~ hskp1 )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ~ c2_1(a470) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | ~ c1_1(X101) ) )
          | hskp12
          | hskp30 )
        & ( hskp7
          | hskp8
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c0_1(X39)
                | c2_1(X39) ) )
          | hskp5
          | hskp12 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | ~ c0_1(X87) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c3_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) ) )
        & ( ( ndr1_0
            & c3_1(a479)
            & ~ c1_1(a479)
            & c0_1(a479) )
          | ~ hskp11 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | hskp20
          | hskp22 )
        & ( hskp18
          | hskp6
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c3_1(X63)
                | ~ c2_1(X63) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c0_1(X4)
                | c1_1(X4) ) ) )
        & ( ~ hskp26
          | ( c1_1(a559)
            & c0_1(a559)
            & ndr1_0
            & ~ c3_1(a559) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c1_1(X80)
                | ~ c0_1(X80) ) )
          | hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) ) )
        & ( hskp31
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( ~ hskp30
          | ( c1_1(a488)
            & c3_1(a488)
            & c2_1(a488)
            & ndr1_0 ) )
        & ( hskp18
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c2_1(X83) ) ) )
        & ( ~ hskp17
          | ( c2_1(a493)
            & ndr1_0
            & c3_1(a493)
            & ~ c0_1(a493) ) )
        & ( hskp17
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c3_1(X116)
                | ~ c2_1(X116) ) )
          | hskp8 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) )
          | hskp9
          | hskp11 )
        & ( hskp26
          | hskp2
          | hskp23 )
        & ( ~ hskp3
          | ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ~ hskp28
          | ( c2_1(a469)
            & c3_1(a469)
            & c0_1(a469)
            & ndr1_0 ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c0_1(X40)
                | c3_1(X40) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c1_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c0_1(X43)
                | c3_1(X43) ) )
          | hskp13
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c0_1(X44)
                | ~ c2_1(X44) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp8
        | hskp7
        | hskp27 )
      & ( ~ hskp19
        | ( ~ c2_1(a500)
          & ~ c3_1(a500)
          & ndr1_0
          & c1_1(a500) ) )
      & ( hskp17
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) )
        | hskp21 )
      & ( hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c2_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c2_1(X94)
              | ~ c0_1(X94) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | c0_1(X47)
              | ~ c2_1(X47) ) )
        | hskp1
        | hskp15 )
      & ( ( ndr1_0
          & ~ c1_1(a466)
          & ~ c0_1(a466)
          & ~ c3_1(a466) )
        | ~ hskp4 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | ~ c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c0_1(X24)
              | c3_1(X24) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c3_1(X20)
              | c0_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c2_1(X21)
              | ~ c3_1(X21) ) )
        | hskp28 )
      & ( ~ hskp12
        | ( ~ c3_1(a481)
          & ndr1_0
          & ~ c0_1(a481)
          & c1_1(a481) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c3_1(X68)
              | c2_1(X68) ) )
        | hskp14
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c1_1(X69) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c0_1(X14)
              | c3_1(X14) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c0_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c0_1(X50)
              | c1_1(X50) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) ) )
      & ( hskp6
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) )
        | hskp18
        | hskp1 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c1_1(X64)
              | c3_1(X64) ) )
        | hskp16
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp7
        | ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | hskp16 )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c0_1(a478)
          & ~ c3_1(a478)
          & c2_1(a478) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c0_1(X52)
              | ~ c3_1(X52) ) )
        | hskp5 )
      & ( hskp14
        | hskp10
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c1_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | c3_1(X74)
              | ~ c1_1(X74) ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a545)
          & c3_1(a545)
          & c1_1(a545) ) )
      & ( hskp1
        | ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c2_1(X51)
              | ~ c1_1(X51) ) )
        | hskp30 )
      & ( ~ hskp15
        | ( c0_1(a484)
          & ndr1_0
          & c2_1(a484)
          & ~ c3_1(a484) ) )
      & ( hskp18
        | hskp17
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) ) )
      & ( ~ hskp0
        | ( c2_1(a462)
          & c0_1(a462)
          & ndr1_0
          & ~ c1_1(a462) ) )
      & ( ~ hskp27
        | ( ~ c1_1(a576)
          & ~ c3_1(a576)
          & ~ c2_1(a576)
          & ndr1_0 ) )
      & ( hskp19
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) ) )
      & ( hskp5
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c0_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c1_1(X19)
              | c2_1(X19) ) ) )
      & ( hskp31
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c2_1(X107)
              | ~ c1_1(X107) ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a483)
          & ~ c0_1(a483)
          & c1_1(a483) ) )
      & ( hskp14
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c0_1(X45)
              | c3_1(X45) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c3_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | hskp16 )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c3_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | hskp2 )
      & ( hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | ~ c3_1(X115) ) )
        | hskp3 )
      & ( hskp30
        | hskp0
        | hskp10 )
      & ( hskp7
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c3_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( hskp12
        | hskp11
        | hskp9 )
      & ( hskp25
        | hskp0
        | hskp14 )
      & ( hskp15
        | hskp9
        | hskp29 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | c3_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | c2_1(X86)
              | ~ c1_1(X86) ) )
        | hskp0
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) ) )
      & ( hskp29
        | hskp0
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c0_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ( ndr1_0
          & c1_1(a519)
          & ~ c2_1(a519)
          & ~ c0_1(a519) )
        | ~ hskp22 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c2_1(X60)
              | ~ c1_1(X60) ) ) )
      & ( ( ~ c3_1(a494)
          & ~ c2_1(a494)
          & ndr1_0
          & c0_1(a494) )
        | ~ hskp18 )
      & ( hskp11
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c3_1(X38)
              | ~ c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ( c1_1(a472)
          & c3_1(a472)
          & ndr1_0
          & ~ c2_1(a472) )
        | ~ hskp8 )
      & ( hskp9
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c2_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c3_1(X33)
              | c0_1(X33) ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a464)
          & ~ c2_1(a464)
          & ~ c0_1(a464) ) )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp4
        | hskp6 )
      & ( hskp4
        | hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) ) )
      & ( ~ hskp20
        | ( ~ c3_1(a506)
          & c2_1(a506)
          & ndr1_0
          & c1_1(a506) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c3_1(X7)
              | c0_1(X7) ) )
        | hskp5 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c1_1(X32)
              | ~ c0_1(X32) ) )
        | hskp29
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c0_1(X31)
              | c2_1(X31) ) ) )
      & ( hskp21
        | hskp30
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) ) )
      & ( ( c2_1(a477)
          & c3_1(a477)
          & ~ c1_1(a477)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | ~ c2_1(X109) ) )
        | hskp4
        | hskp18 )
      & ( ~ hskp7
        | ( c0_1(a471)
          & c3_1(a471)
          & ndr1_0
          & ~ c2_1(a471) ) )
      & ( ( ~ c2_1(a482)
          & ndr1_0
          & c3_1(a482)
          & ~ c1_1(a482) )
        | ~ hskp13 )
      & ( hskp17
        | hskp9
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c1_1(X71)
              | c2_1(X71) ) ) )
      & ( hskp0
        | ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c0_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c0_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | ~ c0_1(X26) ) )
        | hskp6
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) ) )
      & ( ( c0_1(a487)
          & ~ c2_1(a487)
          & ndr1_0
          & ~ c1_1(a487) )
        | ~ hskp16 )
      & ( hskp13
        | hskp16
        | hskp26 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) )
        | hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp17
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | c2_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( hskp8
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) )
        | hskp13 )
      & ( hskp8
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c1_1(X100)
              | c3_1(X100) ) )
        | hskp24 )
      & ( hskp21
        | hskp20
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | c1_1(X78)
              | ~ c0_1(X78) ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c3_1(a521)
          & ~ c2_1(a521)
          & ~ c0_1(a521) ) )
      & ( ( ndr1_0
          & c0_1(a525)
          & ~ c2_1(a525)
          & c1_1(a525) )
        | ~ hskp24 )
      & ( hskp31
        | hskp19
        | hskp10 )
      & ( hskp22
        | hskp1
        | hskp13 )
      & ( hskp25
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp14 )
      & ( hskp9
        | hskp23
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c2_1(X93)
              | c3_1(X93) ) ) )
      & ( ( c1_1(a529)
          & c3_1(a529)
          & ndr1_0
          & c0_1(a529) )
        | ~ hskp31 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c0_1(X10)
              | ~ c1_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | c1_1(X11)
              | ~ c3_1(X11) ) ) )
      & ( ( c2_1(a507)
          & ~ c0_1(a507)
          & ndr1_0
          & ~ c1_1(a507) )
        | ~ hskp21 )
      & ( hskp29
        | hskp12
        | hskp3 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c3_1(X67)
              | ~ c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) )
        | hskp2 )
      & ( hskp24
        | ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c3_1(X113)
              | ~ c2_1(X113) ) )
        | hskp10 )
      & ( ( c0_1(a474)
          & ndr1_0
          & c1_1(a474)
          & c2_1(a474) )
        | ~ hskp29 )
      & ( hskp23
        | hskp5
        | hskp3 )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c0_1(X62)
              | ~ c2_1(X62) ) )
        | hskp7
        | hskp17 )
      & ( ( ~ c1_1(a467)
          & c0_1(a467)
          & ~ c3_1(a467)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( c2_1(a463)
          & ~ c3_1(a463)
          & ndr1_0
          & ~ c1_1(a463) )
        | ~ hskp1 )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c1_1(a470)
          & ~ c0_1(a470)
          & ~ c2_1(a470) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | ~ c1_1(X101) ) )
        | hskp12
        | hskp30 )
      & ( hskp7
        | hskp8
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c0_1(X39)
              | c2_1(X39) ) )
        | hskp5
        | hskp12 )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | ~ c0_1(X87) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c3_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c3_1(X98)
              | ~ c2_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) ) )
      & ( ( ndr1_0
          & c3_1(a479)
          & ~ c1_1(a479)
          & c0_1(a479) )
        | ~ hskp11 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c1_1(X92) ) )
        | hskp20
        | hskp22 )
      & ( hskp18
        | hskp6
        | ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c3_1(X63)
              | ~ c2_1(X63) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | c0_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | c3_1(X6)
              | c2_1(X6) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c0_1(X4)
              | c1_1(X4) ) ) )
      & ( ~ hskp26
        | ( c1_1(a559)
          & c0_1(a559)
          & ndr1_0
          & ~ c3_1(a559) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | c1_1(X80)
              | ~ c0_1(X80) ) )
        | hskp12
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c2_1(X81)
              | ~ c0_1(X81) ) ) )
      & ( hskp31
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( ~ hskp30
        | ( c1_1(a488)
          & c3_1(a488)
          & c2_1(a488)
          & ndr1_0 ) )
      & ( hskp18
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c3_1(X82)
              | c1_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c2_1(X83) ) ) )
      & ( ~ hskp17
        | ( c2_1(a493)
          & ndr1_0
          & c3_1(a493)
          & ~ c0_1(a493) ) )
      & ( hskp17
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c3_1(X116)
              | ~ c2_1(X116) ) )
        | hskp8 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) )
        | hskp9
        | hskp11 )
      & ( hskp26
        | hskp2
        | hskp23 )
      & ( ~ hskp3
        | ( ~ c1_1(a465)
          & ~ c0_1(a465)
          & c3_1(a465)
          & ndr1_0 ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | c3_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ~ hskp28
        | ( c2_1(a469)
          & c3_1(a469)
          & c0_1(a469)
          & ndr1_0 ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c0_1(X40)
              | c3_1(X40) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c1_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c0_1(X43)
              | c3_1(X43) ) )
        | hskp13
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | ~ c0_1(X44)
              | ~ c2_1(X44) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1068,plain,
    ( spl0_160
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f149,f277,f1065]) ).

fof(f277,plain,
    ( spl0_6
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f149,plain,
    ( ~ hskp10
    | c2_1(a478) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1063,plain,
    ( spl0_95
    | spl0_11
    | ~ spl0_4
    | spl0_74 ),
    inference(avatar_split_clause,[],[f63,f585,f268,f296,f686]) ).

fof(f296,plain,
    ( spl0_11
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f268,plain,
    ( spl0_4
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f63,plain,
    ! [X73] :
      ( c3_1(X73)
      | ~ ndr1_0
      | hskp8
      | hskp7
      | c0_1(X73)
      | c2_1(X73) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1062,plain,
    ( spl0_17
    | spl0_58
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f163,f268,f264,f511,f322]) ).

fof(f322,plain,
    ( spl0_17
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f264,plain,
    ( spl0_3
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f163,plain,
    ! [X26] :
      ( ~ ndr1_0
      | hskp17
      | ~ c3_1(X26)
      | hskp5
      | ~ c0_1(X26)
      | c2_1(X26) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1061,plain,
    ( ~ spl0_39
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f137,f1058,f421]) ).

fof(f421,plain,
    ( spl0_39
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f137,plain,
    ( ~ c0_1(a519)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1056,plain,
    ( spl0_158
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f116,f440,f1053]) ).

fof(f440,plain,
    ( spl0_43
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f116,plain,
    ( ~ hskp31
    | c1_1(a529) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1051,plain,
    ( ~ spl0_53
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f36,f1048,f487]) ).

fof(f487,plain,
    ( spl0_53
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f36,plain,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1046,plain,
    ( ~ spl0_23
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f192,f1043,f351]) ).

fof(f351,plain,
    ( spl0_23
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f192,plain,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1041,plain,
    ( ~ spl0_4
    | spl0_42
    | spl0_72
    | spl0_114 ),
    inference(avatar_split_clause,[],[f216,f790,f574,f435,f268]) ).

fof(f435,plain,
    ( spl0_42
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f216,plain,
    ! [X14,X13] :
      ( ~ c3_1(X13)
      | ~ c2_1(X14)
      | hskp28
      | ~ c1_1(X14)
      | ~ ndr1_0
      | c1_1(X13)
      | c0_1(X13)
      | ~ c3_1(X14) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X14,X13] :
      ( c1_1(X13)
      | ~ ndr1_0
      | ~ c3_1(X13)
      | ~ c2_1(X14)
      | c0_1(X13)
      | hskp28
      | ~ c3_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1040,plain,
    ( ~ spl0_24
    | spl0_155 ),
    inference(avatar_split_clause,[],[f166,f1037,f355]) ).

fof(f355,plain,
    ( spl0_24
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f166,plain,
    ( c2_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1035,plain,
    ( spl0_16
    | spl0_86
    | spl0_21 ),
    inference(avatar_split_clause,[],[f25,f341,f635,f317]) ).

fof(f317,plain,
    ( spl0_16
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f635,plain,
    ( spl0_86
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f341,plain,
    ( spl0_21
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f25,plain,
    ( hskp2
    | hskp23
    | hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1029,plain,
    ( spl0_153
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f194,f351,f1026]) ).

fof(f194,plain,
    ( ~ hskp0
    | c0_1(a462) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1021,plain,
    ( ~ spl0_2
    | spl0_152 ),
    inference(avatar_split_clause,[],[f102,f1018,f259]) ).

fof(f259,plain,
    ( spl0_2
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f102,plain,
    ( c2_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1015,plain,
    ( ~ spl0_30
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f205,f1012,f379]) ).

fof(f379,plain,
    ( spl0_30
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f205,plain,
    ( ~ c3_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1009,plain,
    ( spl0_150
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f79,f686,f1006]) ).

fof(f79,plain,
    ( ~ hskp7
    | c3_1(a471) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f994,plain,
    ( spl0_8
    | spl0_75
    | spl0_77
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f222,f268,f595,f588,f285]) ).

fof(f222,plain,
    ! [X80,X81,X79] :
      ( ~ ndr1_0
      | c0_1(X81)
      | ~ c1_1(X80)
      | c1_1(X81)
      | c2_1(X79)
      | c0_1(X80)
      | c2_1(X80)
      | ~ c1_1(X79)
      | c3_1(X81)
      | c3_1(X79) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f54,plain,
    ! [X80,X81,X79] :
      ( ~ c1_1(X79)
      | ~ c1_1(X80)
      | ~ ndr1_0
      | c2_1(X79)
      | c0_1(X81)
      | c0_1(X80)
      | ~ ndr1_0
      | c2_1(X80)
      | c3_1(X79)
      | ~ ndr1_0
      | c3_1(X81)
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f993,plain,
    ( ~ spl0_95
    | spl0_4 ),
    inference(avatar_split_clause,[],[f78,f268,f686]) ).

fof(f78,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f990,plain,
    ( spl0_147
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f144,f292,f987]) ).

fof(f292,plain,
    ( spl0_10
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f144,plain,
    ( ~ hskp13
    | c3_1(a482) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f984,plain,
    ( spl0_55
    | spl0_3
    | spl0_60
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f129,f268,f518,f264,f497]) ).

fof(f497,plain,
    ( spl0_55
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f129,plain,
    ! [X47] :
      ( ~ ndr1_0
      | ~ c2_1(X47)
      | hskp17
      | c3_1(X47)
      | hskp18
      | ~ c1_1(X47) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f977,plain,
    ( ~ spl0_16
    | spl0_145 ),
    inference(avatar_split_clause,[],[f127,f974,f317]) ).

fof(f127,plain,
    ( c1_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f972,plain,
    ( spl0_144
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f195,f351,f969]) ).

fof(f195,plain,
    ( ~ hskp0
    | c2_1(a462) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f952,plain,
    ( ~ spl0_43
    | spl0_141 ),
    inference(avatar_split_clause,[],[f115,f949,f440]) ).

fof(f115,plain,
    ( c3_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f943,plain,
    ( spl0_139
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f111,f417,f940]) ).

fof(f417,plain,
    ( spl0_38
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f111,plain,
    ( ~ hskp20
    | c2_1(a506) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f925,plain,
    ( spl0_136
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f126,f317,f922]) ).

fof(f126,plain,
    ( ~ hskp26
    | c0_1(a559) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f912,plain,
    ( ~ spl0_4
    | spl0_2
    | spl0_76
    | spl0_109 ),
    inference(avatar_split_clause,[],[f226,f764,f592,f259,f268]) ).

fof(f226,plain,
    ! [X113,X112] :
      ( ~ c2_1(X112)
      | ~ c3_1(X113)
      | c0_1(X112)
      | c3_1(X112)
      | hskp14
      | c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ! [X113,X112] :
      ( ~ ndr1_0
      | hskp14
      | ~ c1_1(X113)
      | ~ c2_1(X112)
      | c0_1(X113)
      | ~ c3_1(X113)
      | c3_1(X112)
      | c0_1(X112)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f911,plain,
    ( spl0_89
    | spl0_12
    | spl0_104
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f227,f268,f735,f300,f652]) ).

fof(f227,plain,
    ! [X65,X66,X64] :
      ( ~ ndr1_0
      | ~ c0_1(X65)
      | ~ c1_1(X64)
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | ~ c2_1(X64)
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | c0_1(X66)
      | ~ c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f76,plain,
    ! [X65,X66,X64] :
      ( ~ c2_1(X66)
      | c0_1(X66)
      | ~ c1_1(X64)
      | ~ c0_1(X64)
      | ~ c3_1(X66)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c2_1(X64) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f910,plain,
    ( ~ spl0_62
    | spl0_4 ),
    inference(avatar_split_clause,[],[f66,f268,f526]) ).

fof(f526,plain,
    ( spl0_62
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f66,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f908,plain,
    ( ~ spl0_38
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f112,f905,f417]) ).

fof(f112,plain,
    ( ~ c3_1(a506)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f903,plain,
    ( ~ spl0_133
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f58,f497,f900]) ).

fof(f58,plain,
    ( ~ hskp18
    | ~ c3_1(a494) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f898,plain,
    ( ~ spl0_38
    | spl0_132 ),
    inference(avatar_split_clause,[],[f109,f895,f417]) ).

fof(f109,plain,
    ( c1_1(a506)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f886,plain,
    ( ~ spl0_10
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f146,f883,f292]) ).

fof(f146,plain,
    ( ~ c2_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f881,plain,
    ( spl0_129
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f44,f426,f878]) ).

fof(f426,plain,
    ( spl0_40
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f44,plain,
    ( ~ hskp29
    | c1_1(a474) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f860,plain,
    ( ~ spl0_4
    | spl0_95
    | spl0_15
    | spl0_109 ),
    inference(avatar_split_clause,[],[f197,f764,f313,f686,f268]) ).

fof(f313,plain,
    ( spl0_15
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f197,plain,
    ! [X6] :
      ( ~ c2_1(X6)
      | hskp16
      | c0_1(X6)
      | c3_1(X6)
      | hskp7
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f859,plain,
    ( ~ spl0_44
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f16,f856,f444]) ).

fof(f444,plain,
    ( spl0_44
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f16,plain,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f851,plain,
    ( spl0_124
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f167,f355,f848]) ).

fof(f167,plain,
    ( ~ hskp30
    | c3_1(a488) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f846,plain,
    ( ~ spl0_30
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f206,f843,f379]) ).

fof(f206,plain,
    ( ~ c0_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f841,plain,
    ( ~ spl0_40
    | spl0_122 ),
    inference(avatar_split_clause,[],[f46,f838,f426]) ).

fof(f46,plain,
    ( c0_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f836,plain,
    ( ~ spl0_17
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f133,f833,f322]) ).

fof(f133,plain,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f831,plain,
    ( ~ spl0_86
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f87,f828,f635]) ).

fof(f87,plain,
    ( ~ c0_1(a521)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f825,plain,
    ( ~ spl0_30
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f207,f822,f379]) ).

fof(f207,plain,
    ( ~ c1_1(a466)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f820,plain,
    ( ~ spl0_21
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f84,f817,f341]) ).

fof(f84,plain,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f798,plain,
    ( spl0_72
    | ~ spl0_4
    | spl0_106
    | spl0_80 ),
    inference(avatar_split_clause,[],[f233,f608,f749,f268,f574]) ).

fof(f233,plain,
    ! [X31,X32,X33] :
      ( ~ c3_1(X31)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X33)
      | ~ c1_1(X32)
      | ~ c2_1(X31)
      | ~ c1_1(X33)
      | ~ c0_1(X31)
      | ~ c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X31,X32,X33] :
      ( ~ c1_1(X33)
      | ~ ndr1_0
      | ~ c1_1(X32)
      | ~ c0_1(X33)
      | ~ c2_1(X31)
      | ~ ndr1_0
      | c3_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X31)
      | ~ c0_1(X31)
      | ~ c3_1(X32)
      | ~ c2_1(X32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f795,plain,
    ( spl0_62
    | spl0_95
    | spl0_11 ),
    inference(avatar_split_clause,[],[f210,f296,f686,f526]) ).

fof(f210,plain,
    ( hskp8
    | hskp7
    | hskp27 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f788,plain,
    ( spl0_113
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f93,f264,f785]) ).

fof(f93,plain,
    ( ~ hskp17
    | c3_1(a493) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f782,plain,
    ( ~ spl0_42
    | spl0_112 ),
    inference(avatar_split_clause,[],[f32,f779,f435]) ).

fof(f32,plain,
    ( c2_1(a469)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f772,plain,
    ( spl0_110
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f31,f435,f769]) ).

fof(f31,plain,
    ( ~ hskp28
    | c3_1(a469) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f767,plain,
    ( ~ spl0_4
    | spl0_10
    | spl0_59
    | spl0_28 ),
    inference(avatar_split_clause,[],[f237,f371,f514,f292,f268]) ).

fof(f237,plain,
    ! [X10,X11] :
      ( c3_1(X10)
      | ~ c0_1(X11)
      | c0_1(X10)
      | c1_1(X11)
      | ~ c2_1(X11)
      | hskp13
      | ~ ndr1_0
      | ~ c1_1(X10) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X10,X11] :
      ( c3_1(X10)
      | c0_1(X10)
      | ~ ndr1_0
      | hskp13
      | ~ c0_1(X11)
      | ~ c2_1(X11)
      | ~ c1_1(X10)
      | c1_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f762,plain,
    ( ~ spl0_19
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f198,f759,f332]) ).

fof(f332,plain,
    ( spl0_19
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f198,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f756,plain,
    ( ~ spl0_10
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f143,f753,f292]) ).

fof(f143,plain,
    ( ~ c1_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f751,plain,
    ( spl0_53
    | ~ spl0_4
    | spl0_24
    | spl0_106 ),
    inference(avatar_split_clause,[],[f61,f749,f355,f268,f487]) ).

fof(f61,plain,
    ! [X76] :
      ( ~ c1_1(X76)
      | hskp30
      | ~ c0_1(X76)
      | ~ ndr1_0
      | hskp12
      | c3_1(X76) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f744,plain,
    ( ~ spl0_86
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f88,f741,f635]) ).

fof(f88,plain,
    ( ~ c2_1(a521)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f738,plain,
    ( spl0_6
    | spl0_2
    | ~ spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f26,f300,f268,f259,f277]) ).

fof(f26,plain,
    ! [X92] :
      ( ~ c0_1(X92)
      | ~ ndr1_0
      | ~ c1_1(X92)
      | hskp14
      | ~ c2_1(X92)
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f733,plain,
    ( spl0_15
    | spl0_72
    | ~ spl0_4
    | spl0_76 ),
    inference(avatar_split_clause,[],[f241,f592,f268,f574,f313]) ).

fof(f241,plain,
    ! [X41,X42] :
      ( ~ c3_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c1_1(X41)
      | hskp16
      | c0_1(X42)
      | ~ c2_1(X41) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X41,X42] :
      ( ~ c3_1(X41)
      | ~ c3_1(X42)
      | hskp16
      | ~ c2_1(X41)
      | ~ ndr1_0
      | ~ c1_1(X42)
      | ~ c1_1(X41)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f732,plain,
    ( ~ spl0_3
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f92,f729,f264]) ).

fof(f92,plain,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f727,plain,
    ( ~ spl0_15
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f179,f724,f313]) ).

fof(f179,plain,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f722,plain,
    ( ~ spl0_4
    | spl0_12
    | spl0_81 ),
    inference(avatar_split_clause,[],[f242,f611,f300,f268]) ).

fof(f242,plain,
    ! [X3,X4] :
      ( c3_1(X3)
      | ~ c0_1(X3)
      | c2_1(X3)
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0
      | ~ c1_1(X4) ),
    inference(duplicate_literal_removal,[],[f203]) ).

fof(f203,plain,
    ! [X3,X4] :
      ( ~ c0_1(X4)
      | c3_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X3)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | c2_1(X3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f721,plain,
    ( ~ spl0_39
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f138,f718,f421]) ).

fof(f138,plain,
    ( ~ c2_1(a519)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f716,plain,
    ( spl0_2
    | spl0_23
    | spl0_32 ),
    inference(avatar_split_clause,[],[f9,f389,f351,f259]) ).

fof(f389,plain,
    ( spl0_32
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f9,plain,
    ( hskp25
    | hskp0
    | hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f700,plain,
    ( spl0_75
    | spl0_23
    | spl0_40
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f135,f268,f426,f351,f588]) ).

fof(f135,plain,
    ! [X45] :
      ( ~ ndr1_0
      | hskp29
      | hskp0
      | ~ c1_1(X45)
      | c0_1(X45)
      | c2_1(X45) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f699,plain,
    ( ~ spl0_44
    | spl0_97 ),
    inference(avatar_split_clause,[],[f13,f696,f444]) ).

fof(f13,plain,
    ( c1_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( ~ spl0_95
    | spl0_96 ),
    inference(avatar_split_clause,[],[f80,f690,f686]) ).

fof(f80,plain,
    ( c0_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f684,plain,
    ( ~ spl0_17
    | spl0_94 ),
    inference(avatar_split_clause,[],[f132,f681,f322]) ).

fof(f132,plain,
    ( c0_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f678,plain,
    ( ~ spl0_15
    | spl0_93 ),
    inference(avatar_split_clause,[],[f182,f675,f313]) ).

fof(f182,plain,
    ( c0_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f672,plain,
    ( ~ spl0_4
    | spl0_78
    | spl0_50 ),
    inference(avatar_split_clause,[],[f243,f474,f599,f268]) ).

fof(f243,plain,
    ! [X29,X30] :
      ( c0_1(X30)
      | ~ c1_1(X30)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | ~ c0_1(X29) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X29,X30] :
      ( ~ c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c2_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | c1_1(X29)
      | ~ c1_1(X30) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f666,plain,
    ( ~ spl0_3
    | spl0_91 ),
    inference(avatar_split_clause,[],[f95,f663,f264]) ).

fof(f95,plain,
    ( c2_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f660,plain,
    ( ~ spl0_90
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f71,f296,f657]) ).

fof(f71,plain,
    ( ~ hskp8
    | ~ c2_1(a472) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f655,plain,
    ( spl0_53
    | spl0_71
    | spl0_17
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f18,f268,f322,f571,f487]) ).

fof(f18,plain,
    ! [X108] :
      ( ~ ndr1_0
      | hskp5
      | c0_1(X108)
      | ~ c3_1(X108)
      | c2_1(X108)
      | hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f649,plain,
    ( ~ spl0_39
    | spl0_88 ),
    inference(avatar_split_clause,[],[f139,f646,f421]) ).

fof(f139,plain,
    ( c1_1(a519)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f644,plain,
    ( ~ spl0_87
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f57,f497,f641]) ).

fof(f57,plain,
    ( ~ hskp18
    | ~ c2_1(a494) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f639,plain,
    ( ~ spl0_4
    | spl0_55
    | spl0_44
    | spl0_78 ),
    inference(avatar_split_clause,[],[f178,f599,f444,f497,f268]) ).

fof(f178,plain,
    ! [X15] :
      ( c2_1(X15)
      | ~ c0_1(X15)
      | c1_1(X15)
      | hskp19
      | hskp18
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f638,plain,
    ( ~ spl0_85
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f89,f635,f631]) ).

fof(f89,plain,
    ( ~ hskp23
    | ~ c3_1(a521) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f629,plain,
    ( ~ spl0_21
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f83,f626,f341]) ).

fof(f83,plain,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f624,plain,
    ( ~ spl0_6
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f151,f621,f277]) ).

fof(f151,plain,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f606,plain,
    ( ~ spl0_24
    | spl0_79 ),
    inference(avatar_split_clause,[],[f168,f603,f355]) ).

fof(f168,plain,
    ( c1_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f601,plain,
    ( ~ spl0_4
    | spl0_40
    | spl0_78
    | spl0_71 ),
    inference(avatar_split_clause,[],[f246,f571,f599,f426,f268]) ).

fof(f246,plain,
    ! [X74,X75] :
      ( c2_1(X75)
      | c0_1(X75)
      | c2_1(X74)
      | hskp29
      | ~ c3_1(X75)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c1_1(X74) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f62,plain,
    ! [X74,X75] :
      ( hskp29
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c2_1(X74)
      | c0_1(X75)
      | ~ c0_1(X74)
      | c2_1(X75)
      | c1_1(X74) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f590,plain,
    ( spl0_28
    | spl0_74
    | spl0_75
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f248,f268,f588,f585,f371]) ).

fof(f248,plain,
    ! [X58,X59,X57] :
      ( ~ ndr1_0
      | ~ c1_1(X59)
      | c0_1(X57)
      | c2_1(X59)
      | c0_1(X58)
      | c3_1(X57)
      | c2_1(X57)
      | c0_1(X59)
      | ~ c1_1(X58)
      | c3_1(X58) ),
    inference(duplicate_literal_removal,[],[f96]) ).

fof(f96,plain,
    ! [X58,X59,X57] :
      ( ~ ndr1_0
      | c2_1(X59)
      | c0_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | ~ c1_1(X58)
      | c3_1(X58)
      | c0_1(X59)
      | c2_1(X57)
      | c0_1(X58)
      | ~ ndr1_0
      | c3_1(X57) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f583,plain,
    ( spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f72,f296,f268]) ).

fof(f72,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f582,plain,
    ( ~ spl0_53
    | spl0_73 ),
    inference(avatar_split_clause,[],[f33,f579,f487]) ).

fof(f33,plain,
    ( c1_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f569,plain,
    ( ~ spl0_43
    | spl0_70 ),
    inference(avatar_split_clause,[],[f113,f566,f440]) ).

fof(f113,plain,
    ( c0_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f564,plain,
    ( ~ spl0_69
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f124,f317,f561]) ).

fof(f124,plain,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f559,plain,
    ( spl0_68
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f55,f497,f556]) ).

fof(f55,plain,
    ( ~ hskp18
    | c0_1(a494) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f534,plain,
    ( ~ spl0_44
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f15,f531,f444]) ).

fof(f15,plain,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f520,plain,
    ( spl0_40
    | spl0_60
    | spl0_26
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f250,f268,f365,f518,f426]) ).

fof(f250,plain,
    ! [X16,X17] :
      ( ~ ndr1_0
      | ~ c1_1(X17)
      | ~ c1_1(X16)
      | hskp29
      | c2_1(X17)
      | c3_1(X16)
      | ~ c0_1(X17)
      | ~ c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X16,X17] :
      ( ~ c1_1(X17)
      | ~ ndr1_0
      | c3_1(X16)
      | c2_1(X17)
      | hskp29
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c1_1(X16)
      | ~ c2_1(X16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f516,plain,
    ( spl0_53
    | ~ spl0_4
    | spl0_58
    | spl0_59 ),
    inference(avatar_split_clause,[],[f251,f514,f511,f268,f487]) ).

fof(f251,plain,
    ! [X48,X49] :
      ( c1_1(X49)
      | c2_1(X48)
      | ~ c3_1(X48)
      | ~ c2_1(X49)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | hskp12
      | ~ c0_1(X49) ),
    inference(duplicate_literal_removal,[],[f122]) ).

fof(f122,plain,
    ! [X48,X49] :
      ( ~ c0_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c2_1(X49)
      | c2_1(X48)
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X48) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f500,plain,
    ( ~ spl0_4
    | spl0_30
    | spl0_55
    | spl0_12 ),
    inference(avatar_split_clause,[],[f134,f300,f497,f379,f268]) ).

fof(f134,plain,
    ! [X46] :
      ( ~ c1_1(X46)
      | ~ c2_1(X46)
      | ~ c0_1(X46)
      | hskp18
      | hskp4
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f490,plain,
    ( ~ spl0_52
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f34,f487,f483]) ).

fof(f34,plain,
    ( ~ hskp12
    | ~ c0_1(a481) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f481,plain,
    ( spl0_51
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f175,f389,f478]) ).

fof(f175,plain,
    ( ~ hskp25
    | c3_1(a545) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f476,plain,
    ( ~ spl0_4
    | spl0_50
    | spl0_24
    | spl0_19 ),
    inference(avatar_split_clause,[],[f104,f332,f355,f474,f268]) ).

fof(f104,plain,
    ! [X52] :
      ( hskp1
      | hskp30
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | c0_1(X52) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f467,plain,
    ( ~ spl0_48
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f176,f389,f464]) ).

fof(f176,plain,
    ( ~ hskp25
    | ~ c0_1(a545) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f457,plain,
    ( ~ spl0_42
    | spl0_46 ),
    inference(avatar_split_clause,[],[f30,f454,f435]) ).

fof(f30,plain,
    ( c0_1(a469)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f452,plain,
    ( ~ spl0_45
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f200,f332,f449]) ).

fof(f200,plain,
    ( ~ hskp1
    | ~ c3_1(a463) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f447,plain,
    ( spl0_6
    | spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f60,f444,f440,f277]) ).

fof(f60,plain,
    ( hskp19
    | hskp31
    | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f433,plain,
    ( ~ spl0_40
    | spl0_41 ),
    inference(avatar_split_clause,[],[f43,f430,f426]) ).

fof(f43,plain,
    ( c2_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f424,plain,
    ( spl0_38
    | spl0_39
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f147,f285,f268,f421,f417]) ).

fof(f147,plain,
    ! [X39] :
      ( c3_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | ~ c1_1(X39)
      | hskp22
      | hskp20 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f396,plain,
    ( ~ spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f174,f393,f389]) ).

fof(f174,plain,
    ( c1_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f387,plain,
    ( spl0_31
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f85,f341,f384]) ).

fof(f85,plain,
    ( ~ hskp2
    | c3_1(a464) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f373,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f252,f268,f371,f368,f365]) ).

fof(f252,plain,
    ! [X101,X102,X103] :
      ( ~ ndr1_0
      | c0_1(X101)
      | c1_1(X103)
      | c3_1(X101)
      | c2_1(X102)
      | ~ c1_1(X101)
      | ~ c0_1(X102)
      | c3_1(X103)
      | ~ c2_1(X103)
      | ~ c1_1(X102) ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f21,plain,
    ! [X101,X102,X103] :
      ( c1_1(X103)
      | c3_1(X103)
      | ~ c1_1(X102)
      | ~ ndr1_0
      | c2_1(X102)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c2_1(X103)
      | ~ c0_1(X102)
      | ~ c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f363,plain,
    ( spl0_25
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f73,f296,f360]) ).

fof(f73,plain,
    ( ~ hskp8
    | c3_1(a472) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f349,plain,
    ( ~ spl0_22
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f181,f313,f346]) ).

fof(f181,plain,
    ( ~ hskp16
    | ~ c2_1(a487) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f339,plain,
    ( ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f201,f336,f332]) ).

fof(f201,plain,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f330,plain,
    ( ~ spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f100,f327,f259]) ).

fof(f100,plain,
    ( c1_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f320,plain,
    ( spl0_10
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f123,f317,f313,f292]) ).

fof(f123,plain,
    ( hskp26
    | hskp16
    | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f302,plain,
    ( spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f98,f268,f300,f296,f292]) ).

fof(f98,plain,
    ! [X55] :
      ( ~ ndr1_0
      | ~ c0_1(X55)
      | hskp8
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f280,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f150,f277,f273]) ).

fof(f150,plain,
    ( ~ hskp10
    | ~ c3_1(a478) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f262,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f101,f259,f255]) ).

fof(f101,plain,
    ( ~ hskp14
    | ~ c0_1(a483) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN505+1 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:16:46 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.53  % (31078)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (31096)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (31087)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54  % (31086)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  % (31088)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (31080)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (31079)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  Detected maximum model sizes of [32]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  % (31094)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.55  % (31081)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (31079)Instruction limit reached!
% 0.19/0.55  % (31079)------------------------------
% 0.19/0.55  % (31079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (31079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (31079)Termination reason: Unknown
% 0.19/0.55  % (31079)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (31079)Memory used [KB]: 6012
% 0.19/0.55  % (31079)Time elapsed: 0.006 s
% 0.19/0.55  % (31079)Instructions burned: 7 (million)
% 0.19/0.55  % (31079)------------------------------
% 0.19/0.55  % (31079)------------------------------
% 0.19/0.55  % (31080)Instruction limit reached!
% 0.19/0.55  % (31080)------------------------------
% 0.19/0.55  % (31080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (31080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (31080)Termination reason: Unknown
% 0.19/0.55  % (31080)Termination phase: Preprocessing 1
% 0.19/0.55  
% 0.19/0.55  % (31080)Memory used [KB]: 1151
% 0.19/0.55  % (31080)Time elapsed: 0.004 s
% 0.19/0.55  % (31080)Instructions burned: 2 (million)
% 0.19/0.55  % (31080)------------------------------
% 0.19/0.55  % (31080)------------------------------
% 0.19/0.55  % (31097)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  TRYING [3]
% 0.19/0.56  TRYING [4]
% 0.19/0.56  % (31095)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.56  % (31074)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.56  % (31085)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57  % (31083)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57  % (31089)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.57  % (31098)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57  % (31075)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57  % (31076)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57  % (31073)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57  % (31077)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.58  % (31091)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.58  % (31072)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.58  % (31100)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.58  % (31101)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.58  % (31090)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.58  % (31092)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.58  % (31099)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.59  % (31082)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.59  % (31084)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.78/0.59  % (31093)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.78/0.60  Detected maximum model sizes of [32]
% 1.78/0.60  TRYING [1]
% 1.78/0.60  TRYING [2]
% 1.78/0.60  Detected maximum model sizes of [32]
% 1.78/0.60  TRYING [1]
% 1.78/0.60  TRYING [2]
% 1.78/0.61  TRYING [3]
% 1.78/0.61  % (31078)Instruction limit reached!
% 1.78/0.61  % (31078)------------------------------
% 1.78/0.61  % (31078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61  % (31078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61  % (31078)Termination reason: Unknown
% 1.78/0.61  % (31078)Termination phase: Finite model building SAT solving
% 1.78/0.61  
% 1.78/0.61  % (31078)Memory used [KB]: 6396
% 1.78/0.61  % (31078)Time elapsed: 0.157 s
% 1.78/0.61  % (31078)Instructions burned: 53 (million)
% 1.78/0.61  % (31078)------------------------------
% 1.78/0.61  % (31078)------------------------------
% 1.86/0.62  TRYING [3]
% 1.86/0.62  TRYING [4]
% 2.06/0.63  % (31074)Instruction limit reached!
% 2.06/0.63  % (31074)------------------------------
% 2.06/0.63  % (31074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.63  % (31074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.63  % (31074)Termination reason: Unknown
% 2.06/0.63  % (31074)Termination phase: Saturation
% 2.06/0.63  
% 2.06/0.63  % (31074)Memory used [KB]: 1535
% 2.06/0.63  % (31074)Time elapsed: 0.196 s
% 2.06/0.63  % (31074)Instructions burned: 37 (million)
% 2.06/0.63  % (31074)------------------------------
% 2.06/0.63  % (31074)------------------------------
% 2.06/0.64  % (31101)First to succeed.
% 2.06/0.64  TRYING [4]
% 2.06/0.65  % (31073)Instruction limit reached!
% 2.06/0.65  % (31073)------------------------------
% 2.06/0.65  % (31073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (31073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (31073)Termination reason: Unknown
% 2.06/0.65  % (31073)Termination phase: Saturation
% 2.06/0.65  
% 2.06/0.65  % (31073)Memory used [KB]: 6780
% 2.06/0.65  % (31073)Time elapsed: 0.211 s
% 2.06/0.65  % (31073)Instructions burned: 50 (million)
% 2.06/0.65  % (31073)------------------------------
% 2.06/0.65  % (31073)------------------------------
% 2.06/0.65  % (31081)Instruction limit reached!
% 2.06/0.65  % (31081)------------------------------
% 2.06/0.65  % (31081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (31081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (31081)Termination reason: Unknown
% 2.06/0.65  % (31081)Termination phase: Saturation
% 2.06/0.65  
% 2.06/0.65  % (31081)Memory used [KB]: 1663
% 2.06/0.65  % (31081)Time elapsed: 0.198 s
% 2.06/0.65  % (31081)Instructions burned: 51 (million)
% 2.06/0.65  % (31081)------------------------------
% 2.06/0.65  % (31081)------------------------------
% 2.06/0.65  % (31089)Instruction limit reached!
% 2.06/0.65  % (31089)------------------------------
% 2.06/0.65  % (31089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (31089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (31089)Termination reason: Unknown
% 2.06/0.65  % (31089)Termination phase: Finite model building SAT solving
% 2.06/0.65  
% 2.06/0.65  % (31089)Memory used [KB]: 6524
% 2.06/0.65  % (31089)Time elapsed: 0.175 s
% 2.06/0.65  % (31089)Instructions burned: 59 (million)
% 2.06/0.65  % (31089)------------------------------
% 2.06/0.65  % (31089)------------------------------
% 2.06/0.66  % (31082)Instruction limit reached!
% 2.06/0.66  % (31082)------------------------------
% 2.06/0.66  % (31082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (31082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (31082)Termination reason: Unknown
% 2.06/0.66  % (31082)Termination phase: Saturation
% 2.06/0.66  
% 2.06/0.66  % (31082)Memory used [KB]: 7036
% 2.06/0.66  % (31082)Time elapsed: 0.240 s
% 2.06/0.66  % (31082)Instructions burned: 51 (million)
% 2.06/0.66  % (31082)------------------------------
% 2.06/0.66  % (31082)------------------------------
% 2.06/0.66  % (31076)Instruction limit reached!
% 2.06/0.66  % (31076)------------------------------
% 2.06/0.66  % (31076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (31077)Instruction limit reached!
% 2.06/0.66  % (31077)------------------------------
% 2.06/0.66  % (31077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (31077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (31077)Termination reason: Unknown
% 2.06/0.66  % (31077)Termination phase: Saturation
% 2.06/0.66  
% 2.06/0.66  % (31077)Memory used [KB]: 7164
% 2.06/0.66  % (31077)Time elapsed: 0.243 s
% 2.06/0.66  % (31077)Instructions burned: 49 (million)
% 2.06/0.66  % (31077)------------------------------
% 2.06/0.66  % (31077)------------------------------
% 2.06/0.67  % (31083)Also succeeded, but the first one will report.
% 2.06/0.67  % (31101)Refutation found. Thanks to Tanya!
% 2.06/0.67  % SZS status Theorem for theBenchmark
% 2.06/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.67  % (31101)------------------------------
% 2.06/0.67  % (31101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.67  % (31101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.67  % (31101)Termination reason: Refutation
% 2.06/0.67  
% 2.06/0.67  % (31101)Memory used [KB]: 7164
% 2.06/0.67  % (31101)Time elapsed: 0.237 s
% 2.06/0.67  % (31101)Instructions burned: 37 (million)
% 2.06/0.67  % (31101)------------------------------
% 2.06/0.67  % (31101)------------------------------
% 2.06/0.67  % (31071)Success in time 0.311 s
%------------------------------------------------------------------------------