TSTP Solution File: SYN482+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN482+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 : n021.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 19:38:24 EDT 2022

% Result   : Theorem 2.64s 0.71s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  152
% Syntax   : Number of formulae    :  631 (   1 unt;   0 def)
%            Number of atoms       : 6575 (   0 equ)
%            Maximal formula atoms :  765 (  10 avg)
%            Number of connectives : 8950 (3006   ~;4087   |;1194   &)
%                                         ( 151 <=>; 512  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  188 ( 187 usr; 184 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  899 ( 899   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2415,plain,
    $false,
    inference(avatar_sat_refutation,[],[f218,f223,f232,f243,f257,f265,f274,f283,f288,f299,f307,f311,f320,f329,f341,f348,f373,f382,f387,f396,f401,f410,f419,f428,f429,f434,f446,f451,f455,f470,f484,f489,f498,f508,f513,f518,f519,f523,f528,f533,f550,f559,f564,f569,f570,f575,f588,f589,f594,f599,f600,f601,f606,f613,f618,f623,f634,f639,f648,f653,f658,f664,f669,f674,f679,f685,f690,f695,f704,f709,f713,f714,f727,f734,f736,f743,f749,f754,f755,f756,f761,f762,f763,f768,f774,f779,f780,f785,f790,f796,f803,f809,f814,f821,f823,f829,f830,f836,f837,f842,f853,f859,f864,f870,f875,f880,f886,f894,f899,f904,f920,f927,f929,f934,f939,f941,f942,f943,f948,f949,f954,f955,f960,f971,f977,f982,f987,f989,f994,f999,f1022,f1025,f1030,f1034,f1057,f1070,f1078,f1079,f1081,f1096,f1130,f1135,f1148,f1149,f1220,f1221,f1229,f1230,f1237,f1256,f1257,f1303,f1336,f1389,f1391,f1398,f1399,f1413,f1451,f1466,f1467,f1468,f1470,f1471,f1481,f1484,f1488,f1505,f1506,f1515,f1516,f1517,f1537,f1546,f1552,f1578,f1644,f1650,f1691,f1725,f1726,f1730,f1781,f1786,f1793,f1797,f1810,f1830,f1831,f1838,f1894,f1910,f1913,f2007,f2009,f2034,f2092,f2108,f2122,f2172,f2264,f2314,f2414]) ).

fof(f2414,plain,
    ( spl0_122
    | ~ spl0_4
    | ~ spl0_97
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2396,f1110,f646,f220,f787]) ).

fof(f787,plain,
    ( spl0_122
  <=> c0_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f220,plain,
    ( spl0_4
  <=> c1_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f646,plain,
    ( spl0_97
  <=> ! [X57] :
        ( ~ c1_1(X57)
        | ~ c3_1(X57)
        | c0_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1110,plain,
    ( spl0_165
  <=> c3_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f2396,plain,
    ( ~ c1_1(a1771)
    | c0_1(a1771)
    | ~ spl0_97
    | ~ spl0_165 ),
    inference(resolution,[],[f647,f1112]) ).

fof(f1112,plain,
    ( c3_1(a1771)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1110]) ).

fof(f647,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | c0_1(X57)
        | ~ c1_1(X57) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f2314,plain,
    ( spl0_187
    | spl0_48
    | ~ spl0_75
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2305,f991,f535,f407,f1980]) ).

fof(f1980,plain,
    ( spl0_187
  <=> c1_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f407,plain,
    ( spl0_48
  <=> c3_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f535,plain,
    ( spl0_75
  <=> ! [X111] :
        ( ~ c2_1(X111)
        | c1_1(X111)
        | c3_1(X111) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f991,plain,
    ( spl0_155
  <=> c2_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2305,plain,
    ( c3_1(a1788)
    | c1_1(a1788)
    | ~ spl0_75
    | ~ spl0_155 ),
    inference(resolution,[],[f536,f993]) ).

fof(f993,plain,
    ( c2_1(a1788)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f536,plain,
    ( ! [X111] :
        ( ~ c2_1(X111)
        | c3_1(X111)
        | c1_1(X111) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f2264,plain,
    ( spl0_52
    | spl0_152
    | ~ spl0_67
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2259,f979,f496,f974,f425]) ).

fof(f425,plain,
    ( spl0_52
  <=> c1_1(a1845) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f974,plain,
    ( spl0_152
  <=> c2_1(a1845) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f496,plain,
    ( spl0_67
  <=> ! [X26] :
        ( c2_1(X26)
        | c1_1(X26)
        | ~ c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f979,plain,
    ( spl0_153
  <=> c3_1(a1845) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f2259,plain,
    ( c2_1(a1845)
    | c1_1(a1845)
    | ~ spl0_67
    | ~ spl0_153 ),
    inference(resolution,[],[f497,f981]) ).

fof(f981,plain,
    ( c3_1(a1845)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f497,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c2_1(X26)
        | c1_1(X26) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f2172,plain,
    ( spl0_118
    | spl0_147
    | ~ spl0_34
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2164,f1300,f346,f945,f765]) ).

fof(f765,plain,
    ( spl0_118
  <=> c1_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f945,plain,
    ( spl0_147
  <=> c2_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f346,plain,
    ( spl0_34
  <=> ! [X54] :
        ( c1_1(X54)
        | ~ c0_1(X54)
        | c2_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1300,plain,
    ( spl0_174
  <=> c0_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2164,plain,
    ( c2_1(a1782)
    | c1_1(a1782)
    | ~ spl0_34
    | ~ spl0_174 ),
    inference(resolution,[],[f347,f1302]) ).

fof(f1302,plain,
    ( c0_1(a1782)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1300]) ).

fof(f347,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54)
        | c2_1(X54) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2122,plain,
    ( ~ spl0_19
    | ~ spl0_4
    | ~ spl0_32
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2117,f1110,f339,f220,f285]) ).

fof(f285,plain,
    ( spl0_19
  <=> c2_1(a1771) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f339,plain,
    ( spl0_32
  <=> ! [X23] :
        ( ~ c2_1(X23)
        | ~ c3_1(X23)
        | ~ c1_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2117,plain,
    ( ~ c1_1(a1771)
    | ~ c2_1(a1771)
    | ~ spl0_32
    | ~ spl0_165 ),
    inference(resolution,[],[f340,f1112]) ).

fof(f340,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | ~ c1_1(X23)
        | ~ c2_1(X23) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2108,plain,
    ( ~ spl0_126
    | ~ spl0_155
    | ~ spl0_25
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f2105,f1980,f309,f991,f811]) ).

fof(f811,plain,
    ( spl0_126
  <=> c0_1(a1788) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f309,plain,
    ( spl0_25
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | ~ c2_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2105,plain,
    ( ~ c2_1(a1788)
    | ~ c0_1(a1788)
    | ~ spl0_25
    | ~ spl0_187 ),
    inference(resolution,[],[f310,f1982]) ).

fof(f1982,plain,
    ( c1_1(a1788)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1980]) ).

fof(f310,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | ~ c2_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f2092,plain,
    ( ~ spl0_136
    | ~ spl0_172
    | ~ spl0_22
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2086,f818,f297,f1234,f872]) ).

fof(f872,plain,
    ( spl0_136
  <=> c1_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1234,plain,
    ( spl0_172
  <=> c0_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f297,plain,
    ( spl0_22
  <=> ! [X79] :
        ( ~ c1_1(X79)
        | ~ c0_1(X79)
        | ~ c3_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f818,plain,
    ( spl0_127
  <=> c3_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f2086,plain,
    ( ~ c0_1(a1780)
    | ~ c1_1(a1780)
    | ~ spl0_22
    | ~ spl0_127 ),
    inference(resolution,[],[f298,f820]) ).

fof(f820,plain,
    ( c3_1(a1780)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f298,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | ~ c1_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f2034,plain,
    ( spl0_172
    | spl0_138
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2029,f872,f301,f883,f1234]) ).

fof(f883,plain,
    ( spl0_138
  <=> c2_1(a1780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f301,plain,
    ( spl0_23
  <=> ! [X81] :
        ( c2_1(X81)
        | c0_1(X81)
        | ~ c1_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2029,plain,
    ( c2_1(a1780)
    | c0_1(a1780)
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(resolution,[],[f302,f874]) ).

fof(f874,plain,
    ( c1_1(a1780)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f302,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | c0_1(X81)
        | c2_1(X81) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f2009,plain,
    ( spl0_122
    | ~ spl0_19
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1939,f220,f208,f285,f787]) ).

fof(f208,plain,
    ( spl0_1
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1939,plain,
    ( ~ c2_1(a1771)
    | c0_1(a1771)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f209,f222]) ).

fof(f222,plain,
    ( c1_1(a1771)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f209,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f2007,plain,
    ( ~ spl0_125
    | ~ spl0_121
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2000,f297,f271,f782,f806]) ).

fof(f806,plain,
    ( spl0_125
  <=> c0_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f782,plain,
    ( spl0_121
  <=> c1_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f271,plain,
    ( spl0_16
  <=> c3_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2000,plain,
    ( ~ c1_1(a1756)
    | ~ c0_1(a1756)
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(resolution,[],[f298,f273]) ).

fof(f273,plain,
    ( c3_1(a1756)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f1913,plain,
    ( spl0_159
    | ~ spl0_120
    | ~ spl0_33
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1833,f477,f343,f776,f1019]) ).

fof(f1019,plain,
    ( spl0_159
  <=> c0_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f776,plain,
    ( spl0_120
  <=> c2_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f343,plain,
    ( spl0_33
  <=> ! [X55] :
        ( ~ c2_1(X55)
        | c0_1(X55)
        | ~ c3_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f477,plain,
    ( spl0_63
  <=> c3_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1833,plain,
    ( ~ c2_1(a1781)
    | c0_1(a1781)
    | ~ spl0_33
    | ~ spl0_63 ),
    inference(resolution,[],[f479,f344]) ).

fof(f344,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f479,plain,
    ( c3_1(a1781)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1910,plain,
    ( spl0_152
    | spl0_52
    | ~ spl0_34
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1906,f1688,f346,f425,f974]) ).

fof(f1688,plain,
    ( spl0_183
  <=> c0_1(a1845) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1906,plain,
    ( c1_1(a1845)
    | c2_1(a1845)
    | ~ spl0_34
    | ~ spl0_183 ),
    inference(resolution,[],[f347,f1690]) ).

fof(f1690,plain,
    ( c0_1(a1845)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1688]) ).

fof(f1894,plain,
    ( ~ spl0_43
    | ~ spl0_180
    | ~ spl0_25
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1892,f951,f309,f1512,f384]) ).

fof(f384,plain,
    ( spl0_43
  <=> c2_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1512,plain,
    ( spl0_180
  <=> c0_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f951,plain,
    ( spl0_148
  <=> c1_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1892,plain,
    ( ~ c0_1(a1823)
    | ~ c2_1(a1823)
    | ~ spl0_25
    | ~ spl0_148 ),
    inference(resolution,[],[f310,f953]) ).

fof(f953,plain,
    ( c1_1(a1823)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f1838,plain,
    ( spl0_119
    | spl0_137
    | ~ spl0_13
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1836,f610,f260,f877,f771]) ).

fof(f771,plain,
    ( spl0_119
  <=> c0_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f877,plain,
    ( spl0_137
  <=> c1_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f260,plain,
    ( spl0_13
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c3_1(X52)
        | c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f610,plain,
    ( spl0_90
  <=> c3_1(a1767) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1836,plain,
    ( c1_1(a1767)
    | c0_1(a1767)
    | ~ spl0_13
    | ~ spl0_90 ),
    inference(resolution,[],[f612,f261]) ).

fof(f261,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | c1_1(X52) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f612,plain,
    ( c3_1(a1767)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f1831,plain,
    ( ~ spl0_109
    | spl0_134
    | ~ spl0_97
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1829,f901,f646,f861,f706]) ).

fof(f706,plain,
    ( spl0_109
  <=> c1_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f861,plain,
    ( spl0_134
  <=> c0_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f901,plain,
    ( spl0_141
  <=> c3_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1829,plain,
    ( c0_1(a1783)
    | ~ c1_1(a1783)
    | ~ spl0_97
    | ~ spl0_141 ),
    inference(resolution,[],[f903,f647]) ).

fof(f903,plain,
    ( c3_1(a1783)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f1830,plain,
    ( spl0_178
    | spl0_134
    | ~ spl0_20
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1826,f901,f290,f861,f1478]) ).

fof(f1478,plain,
    ( spl0_178
  <=> c2_1(a1783) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f290,plain,
    ( spl0_20
  <=> ! [X80] :
        ( c2_1(X80)
        | ~ c3_1(X80)
        | c0_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1826,plain,
    ( c0_1(a1783)
    | c2_1(a1783)
    | ~ spl0_20
    | ~ spl0_141 ),
    inference(resolution,[],[f903,f291]) ).

fof(f291,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f1810,plain,
    ( spl0_178
    | spl0_134
    | ~ spl0_23
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1809,f706,f301,f861,f1478]) ).

fof(f1809,plain,
    ( c0_1(a1783)
    | c2_1(a1783)
    | ~ spl0_23
    | ~ spl0_109 ),
    inference(resolution,[],[f708,f302]) ).

fof(f708,plain,
    ( c1_1(a1783)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f1797,plain,
    ( ~ spl0_156
    | spl0_179
    | ~ spl0_1
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1587,f850,f208,f1502,f996]) ).

fof(f996,plain,
    ( spl0_156
  <=> c2_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1502,plain,
    ( spl0_179
  <=> c0_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f850,plain,
    ( spl0_132
  <=> c1_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1587,plain,
    ( c0_1(a1758)
    | ~ c2_1(a1758)
    | ~ spl0_1
    | ~ spl0_132 ),
    inference(resolution,[],[f209,f852]) ).

fof(f852,plain,
    ( c1_1(a1758)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1793,plain,
    ( spl0_83
    | spl0_145
    | ~ spl0_13
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1673,f1386,f260,f931,f572]) ).

fof(f572,plain,
    ( spl0_83
  <=> c1_1(a1754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f931,plain,
    ( spl0_145
  <=> c0_1(a1754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1386,plain,
    ( spl0_177
  <=> c3_1(a1754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1673,plain,
    ( c0_1(a1754)
    | c1_1(a1754)
    | ~ spl0_13
    | ~ spl0_177 ),
    inference(resolution,[],[f261,f1388]) ).

fof(f1388,plain,
    ( c3_1(a1754)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1386]) ).

fof(f1786,plain,
    ( spl0_171
    | ~ spl0_78
    | ~ spl0_28
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1779,f453,f322,f547,f1226]) ).

fof(f1226,plain,
    ( spl0_171
  <=> c1_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f547,plain,
    ( spl0_78
  <=> c0_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f322,plain,
    ( spl0_28
  <=> c3_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f453,plain,
    ( spl0_58
  <=> ! [X86] :
        ( ~ c3_1(X86)
        | ~ c0_1(X86)
        | c1_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1779,plain,
    ( ~ c0_1(a1805)
    | c1_1(a1805)
    | ~ spl0_28
    | ~ spl0_58 ),
    inference(resolution,[],[f454,f324]) ).

fof(f324,plain,
    ( c3_1(a1805)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f454,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | ~ c0_1(X86)
        | c1_1(X86) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f1781,plain,
    ( spl0_52
    | ~ spl0_183
    | ~ spl0_58
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1778,f979,f453,f1688,f425]) ).

fof(f1778,plain,
    ( ~ c0_1(a1845)
    | c1_1(a1845)
    | ~ spl0_58
    | ~ spl0_153 ),
    inference(resolution,[],[f454,f981]) ).

fof(f1730,plain,
    ( ~ spl0_120
    | spl0_91
    | ~ spl0_14
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1711,f1019,f263,f615,f776]) ).

fof(f615,plain,
    ( spl0_91
  <=> c1_1(a1781) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f263,plain,
    ( spl0_14
  <=> ! [X51] :
        ( c1_1(X51)
        | ~ c0_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1711,plain,
    ( c1_1(a1781)
    | ~ c2_1(a1781)
    | ~ spl0_14
    | ~ spl0_159 ),
    inference(resolution,[],[f264,f1020]) ).

fof(f1020,plain,
    ( c0_1(a1781)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f264,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | ~ c2_1(X51)
        | c1_1(X51) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f1726,plain,
    ( spl0_171
    | ~ spl0_123
    | ~ spl0_14
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1721,f547,f263,f793,f1226]) ).

fof(f793,plain,
    ( spl0_123
  <=> c2_1(a1805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1721,plain,
    ( ~ c2_1(a1805)
    | c1_1(a1805)
    | ~ spl0_14
    | ~ spl0_78 ),
    inference(resolution,[],[f264,f549]) ).

fof(f549,plain,
    ( c0_1(a1805)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f1725,plain,
    ( ~ spl0_181
    | spl0_69
    | ~ spl0_14
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1716,f891,f263,f505,f1647]) ).

fof(f1647,plain,
    ( spl0_181
  <=> c2_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f505,plain,
    ( spl0_69
  <=> c1_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f891,plain,
    ( spl0_139
  <=> c0_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1716,plain,
    ( c1_1(a1809)
    | ~ c2_1(a1809)
    | ~ spl0_14
    | ~ spl0_139 ),
    inference(resolution,[],[f264,f893]) ).

fof(f893,plain,
    ( c0_1(a1809)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f1691,plain,
    ( spl0_52
    | spl0_183
    | ~ spl0_13
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1683,f979,f260,f1688,f425]) ).

fof(f1683,plain,
    ( c0_1(a1845)
    | c1_1(a1845)
    | ~ spl0_13
    | ~ spl0_153 ),
    inference(resolution,[],[f261,f981]) ).

fof(f1650,plain,
    ( spl0_100
    | spl0_181
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1637,f891,f238,f1647,f661]) ).

fof(f661,plain,
    ( spl0_100
  <=> c3_1(a1809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f238,plain,
    ( spl0_8
  <=> ! [X126] :
        ( c3_1(X126)
        | c2_1(X126)
        | ~ c0_1(X126) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1637,plain,
    ( c2_1(a1809)
    | c3_1(a1809)
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(resolution,[],[f239,f893]) ).

fof(f239,plain,
    ( ! [X126] :
        ( ~ c0_1(X126)
        | c2_1(X126)
        | c3_1(X126) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1644,plain,
    ( spl0_105
    | spl0_144
    | ~ spl0_8
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1632,f936,f238,f924,f687]) ).

fof(f687,plain,
    ( spl0_105
  <=> c2_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f924,plain,
    ( spl0_144
  <=> c3_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f936,plain,
    ( spl0_146
  <=> c0_1(a1779) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1632,plain,
    ( c3_1(a1779)
    | c2_1(a1779)
    | ~ spl0_8
    | ~ spl0_146 ),
    inference(resolution,[],[f239,f938]) ).

fof(f938,plain,
    ( c0_1(a1779)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f1578,plain,
    ( spl0_122
    | ~ spl0_19
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1575,f1110,f343,f285,f787]) ).

fof(f1575,plain,
    ( ~ c2_1(a1771)
    | c0_1(a1771)
    | ~ spl0_33
    | ~ spl0_165 ),
    inference(resolution,[],[f1112,f344]) ).

fof(f1552,plain,
    ( ~ spl0_140
    | ~ spl0_81
    | ~ spl0_25
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1550,f957,f309,f561,f896]) ).

fof(f896,plain,
    ( spl0_140
  <=> c0_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f561,plain,
    ( spl0_81
  <=> c2_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f957,plain,
    ( spl0_149
  <=> c1_1(a1795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1550,plain,
    ( ~ c2_1(a1795)
    | ~ c0_1(a1795)
    | ~ spl0_25
    | ~ spl0_149 ),
    inference(resolution,[],[f959,f310]) ).

fof(f959,plain,
    ( c1_1(a1795)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f1546,plain,
    ( ~ spl0_178
    | spl0_134
    | ~ spl0_33
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1543,f901,f343,f861,f1478]) ).

fof(f1543,plain,
    ( c0_1(a1783)
    | ~ c2_1(a1783)
    | ~ spl0_33
    | ~ spl0_141 ),
    inference(resolution,[],[f903,f344]) ).

fof(f1537,plain,
    ( ~ spl0_136
    | spl0_172
    | ~ spl0_97
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1531,f818,f646,f1234,f872]) ).

fof(f1531,plain,
    ( c0_1(a1780)
    | ~ c1_1(a1780)
    | ~ spl0_97
    | ~ spl0_127 ),
    inference(resolution,[],[f820,f647]) ).

fof(f1517,plain,
    ( ~ spl0_148
    | ~ spl0_43
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1509,f339,f317,f384,f951]) ).

fof(f317,plain,
    ( spl0_27
  <=> c3_1(a1823) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1509,plain,
    ( ~ c2_1(a1823)
    | ~ c1_1(a1823)
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(resolution,[],[f319,f340]) ).

fof(f319,plain,
    ( c3_1(a1823)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f1516,plain,
    ( spl0_180
    | ~ spl0_148
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1507,f646,f317,f951,f1512]) ).

fof(f1507,plain,
    ( ~ c1_1(a1823)
    | c0_1(a1823)
    | ~ spl0_27
    | ~ spl0_97 ),
    inference(resolution,[],[f319,f647]) ).

fof(f1515,plain,
    ( ~ spl0_43
    | spl0_180
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1508,f343,f317,f1512,f384]) ).

fof(f1508,plain,
    ( c0_1(a1823)
    | ~ c2_1(a1823)
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(resolution,[],[f319,f344]) ).

fof(f1506,plain,
    ( spl0_65
    | ~ spl0_156
    | ~ spl0_72
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1498,f850,f521,f996,f486]) ).

fof(f486,plain,
    ( spl0_65
  <=> c3_1(a1758) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f521,plain,
    ( spl0_72
  <=> ! [X50] :
        ( ~ c2_1(X50)
        | ~ c1_1(X50)
        | c3_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1498,plain,
    ( ~ c2_1(a1758)
    | c3_1(a1758)
    | ~ spl0_72
    | ~ spl0_132 ),
    inference(resolution,[],[f852,f522]) ).

fof(f522,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | ~ c2_1(X50)
        | c3_1(X50) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f1505,plain,
    ( ~ spl0_156
    | ~ spl0_179
    | ~ spl0_25
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1499,f850,f309,f1502,f996]) ).

fof(f1499,plain,
    ( ~ c0_1(a1758)
    | ~ c2_1(a1758)
    | ~ spl0_25
    | ~ spl0_132 ),
    inference(resolution,[],[f852,f310]) ).

fof(f1488,plain,
    ( ~ spl0_19
    | spl0_165
    | ~ spl0_4
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1364,f521,f220,f1110,f285]) ).

fof(f1364,plain,
    ( c3_1(a1771)
    | ~ c2_1(a1771)
    | ~ spl0_4
    | ~ spl0_72 ),
    inference(resolution,[],[f522,f222]) ).

fof(f1484,plain,
    ( spl0_165
    | spl0_122
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1278,f371,f220,f787,f1110]) ).

fof(f371,plain,
    ( spl0_40
  <=> ! [X121] :
        ( c3_1(X121)
        | c0_1(X121)
        | ~ c1_1(X121) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1278,plain,
    ( c0_1(a1771)
    | c3_1(a1771)
    | ~ spl0_4
    | ~ spl0_40 ),
    inference(resolution,[],[f372,f222]) ).

fof(f372,plain,
    ( ! [X121] :
        ( ~ c1_1(X121)
        | c3_1(X121)
        | c0_1(X121) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1481,plain,
    ( spl0_134
    | ~ spl0_178
    | ~ spl0_1
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1476,f706,f208,f1478,f861]) ).

fof(f1476,plain,
    ( ~ c2_1(a1783)
    | c0_1(a1783)
    | ~ spl0_1
    | ~ spl0_109 ),
    inference(resolution,[],[f708,f209]) ).

fof(f1471,plain,
    ( ~ spl0_168
    | spl0_151
    | ~ spl0_102
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1460,f711,f671,f968,f1132]) ).

fof(f1132,plain,
    ( spl0_168
  <=> c0_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f968,plain,
    ( spl0_151
  <=> c2_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f671,plain,
    ( spl0_102
  <=> c1_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f711,plain,
    ( spl0_110
  <=> ! [X46] :
        ( c2_1(X46)
        | ~ c0_1(X46)
        | ~ c1_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1460,plain,
    ( c2_1(a1759)
    | ~ c0_1(a1759)
    | ~ spl0_102
    | ~ spl0_110 ),
    inference(resolution,[],[f712,f673]) ).

fof(f673,plain,
    ( c1_1(a1759)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f712,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | c2_1(X46)
        | ~ c0_1(X46) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f1470,plain,
    ( ~ spl0_125
    | spl0_163
    | ~ spl0_110
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1465,f782,f711,f1075,f806]) ).

fof(f1075,plain,
    ( spl0_163
  <=> c2_1(a1756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1465,plain,
    ( c2_1(a1756)
    | ~ c0_1(a1756)
    | ~ spl0_110
    | ~ spl0_121 ),
    inference(resolution,[],[f712,f784]) ).

fof(f784,plain,
    ( c1_1(a1756)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f1468,plain,
    ( spl0_138
    | ~ spl0_172
    | ~ spl0_110
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1463,f872,f711,f1234,f883]) ).

fof(f1463,plain,
    ( ~ c0_1(a1780)
    | c2_1(a1780)
    | ~ spl0_110
    | ~ spl0_136 ),
    inference(resolution,[],[f712,f874]) ).

fof(f1467,plain,
    ( spl0_158
    | ~ spl0_60
    | ~ spl0_94
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1464,f711,f631,f463,f1012]) ).

fof(f1012,plain,
    ( spl0_158
  <=> c2_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f463,plain,
    ( spl0_60
  <=> c0_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f631,plain,
    ( spl0_94
  <=> c1_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1464,plain,
    ( ~ c0_1(a1786)
    | c2_1(a1786)
    | ~ spl0_94
    | ~ spl0_110 ),
    inference(resolution,[],[f712,f633]) ).

fof(f633,plain,
    ( c1_1(a1786)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f1466,plain,
    ( ~ spl0_122
    | spl0_19
    | ~ spl0_4
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1462,f711,f220,f285,f787]) ).

fof(f1462,plain,
    ( c2_1(a1771)
    | ~ c0_1(a1771)
    | ~ spl0_4
    | ~ spl0_110 ),
    inference(resolution,[],[f712,f222]) ).

fof(f1451,plain,
    ( spl0_118
    | spl0_147
    | spl0_88
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1445,f697,f596,f945,f765]) ).

fof(f596,plain,
    ( spl0_88
  <=> c3_1(a1782) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f697,plain,
    ( spl0_107
  <=> ! [X11] :
        ( c2_1(X11)
        | c3_1(X11)
        | c1_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1445,plain,
    ( c2_1(a1782)
    | c1_1(a1782)
    | spl0_88
    | ~ spl0_107 ),
    inference(resolution,[],[f698,f598]) ).

fof(f598,plain,
    ( ~ c3_1(a1782)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f698,plain,
    ( ! [X11] :
        ( c3_1(X11)
        | c1_1(X11)
        | c2_1(X11) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f1413,plain,
    ( spl0_91
    | ~ spl0_120
    | ~ spl0_63
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1407,f557,f477,f776,f615]) ).

fof(f557,plain,
    ( spl0_80
  <=> ! [X9] :
        ( c1_1(X9)
        | ~ c3_1(X9)
        | ~ c2_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1407,plain,
    ( ~ c2_1(a1781)
    | c1_1(a1781)
    | ~ spl0_63
    | ~ spl0_80 ),
    inference(resolution,[],[f558,f479]) ).

fof(f558,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | c1_1(X9)
        | ~ c2_1(X9) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1399,plain,
    ( ~ spl0_168
    | spl0_46
    | ~ spl0_76
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1392,f671,f538,f398,f1132]) ).

fof(f398,plain,
    ( spl0_46
  <=> c3_1(a1759) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f538,plain,
    ( spl0_76
  <=> ! [X110] :
        ( ~ c1_1(X110)
        | c3_1(X110)
        | ~ c0_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1392,plain,
    ( c3_1(a1759)
    | ~ c0_1(a1759)
    | ~ spl0_76
    | ~ spl0_102 ),
    inference(resolution,[],[f539,f673]) ).

fof(f539,plain,
    ( ! [X110] :
        ( ~ c1_1(X110)
        | c3_1(X110)
        | ~ c0_1(X110) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f1398,plain,
    ( ~ spl0_60
    | spl0_74
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1396,f631,f538,f530,f463]) ).

fof(f530,plain,
    ( spl0_74
  <=> c3_1(a1786) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1396,plain,
    ( c3_1(a1786)
    | ~ c0_1(a1786)
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(resolution,[],[f539,f633]) ).

fof(f1391,plain,
    ( spl0_86
    | spl0_130
    | ~ spl0_20
    | ~ spl0_56
    | ~ spl0_75
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1375,f984,f535,f444,f290,f839,f585]) ).

fof(f585,plain,
    ( spl0_86
  <=> c3_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f839,plain,
    ( spl0_130
  <=> c1_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f444,plain,
    ( spl0_56
  <=> ! [X106] :
        ( c3_1(X106)
        | c2_1(X106)
        | c0_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f984,plain,
    ( spl0_154
  <=> c0_1(a1807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1375,plain,
    ( c1_1(a1807)
    | c3_1(a1807)
    | ~ spl0_20
    | ~ spl0_56
    | ~ spl0_75
    | spl0_154 ),
    inference(resolution,[],[f536,f1309]) ).

fof(f1309,plain,
    ( c2_1(a1807)
    | ~ spl0_20
    | ~ spl0_56
    | spl0_154 ),
    inference(resolution,[],[f1298,f986]) ).

fof(f986,plain,
    ( ~ c0_1(a1807)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f1298,plain,
    ( ! [X3] :
        ( c0_1(X3)
        | c2_1(X3) )
    | ~ spl0_20
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1285]) ).

fof(f1285,plain,
    ( ! [X3] :
        ( c2_1(X3)
        | c0_1(X3)
        | c0_1(X3)
        | c2_1(X3) )
    | ~ spl0_20
    | ~ spl0_56 ),
    inference(resolution,[],[f445,f291]) ).

fof(f445,plain,
    ( ! [X106] :
        ( c3_1(X106)
        | c0_1(X106)
        | c2_1(X106) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1389,plain,
    ( spl0_83
    | spl0_177
    | ~ spl0_73
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1368,f535,f525,f1386,f572]) ).

fof(f525,plain,
    ( spl0_73
  <=> c2_1(a1754) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1368,plain,
    ( c3_1(a1754)
    | c1_1(a1754)
    | ~ spl0_73
    | ~ spl0_75 ),
    inference(resolution,[],[f536,f527]) ).

fof(f527,plain,
    ( c2_1(a1754)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1336,plain,
    ( spl0_88
    | spl0_118
    | ~ spl0_70
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1326,f1300,f511,f765,f596]) ).

fof(f511,plain,
    ( spl0_70
  <=> ! [X6] :
        ( c3_1(X6)
        | c1_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1326,plain,
    ( c1_1(a1782)
    | c3_1(a1782)
    | ~ spl0_70
    | ~ spl0_174 ),
    inference(resolution,[],[f512,f1302]) ).

fof(f512,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c3_1(X6)
        | c1_1(X6) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1303,plain,
    ( spl0_147
    | spl0_174
    | ~ spl0_56
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1292,f596,f444,f1300,f945]) ).

fof(f1292,plain,
    ( c0_1(a1782)
    | c2_1(a1782)
    | ~ spl0_56
    | spl0_88 ),
    inference(resolution,[],[f445,f598]) ).

fof(f1257,plain,
    ( spl0_112
    | spl0_57
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1243,f636,f346,f448,f724]) ).

fof(f724,plain,
    ( spl0_112
  <=> c1_1(a1766) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f448,plain,
    ( spl0_57
  <=> c2_1(a1766) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f636,plain,
    ( spl0_95
  <=> c0_1(a1766) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1243,plain,
    ( c2_1(a1766)
    | c1_1(a1766)
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(resolution,[],[f347,f638]) ).

fof(f638,plain,
    ( c0_1(a1766)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f1256,plain,
    ( spl0_99
    | spl0_162
    | ~ spl0_34
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1241,f393,f346,f1047,f655]) ).

fof(f655,plain,
    ( spl0_99
  <=> c1_1(a1763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1047,plain,
    ( spl0_162
  <=> c2_1(a1763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f393,plain,
    ( spl0_45
  <=> c0_1(a1763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1241,plain,
    ( c2_1(a1763)
    | c1_1(a1763)
    | ~ spl0_34
    | ~ spl0_45 ),
    inference(resolution,[],[f347,f395]) ).

fof(f395,plain,
    ( c0_1(a1763)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1237,plain,
    ( spl0_138
    | spl0_172
    | ~ spl0_20
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1232,f818,f290,f1234,f883]) ).

fof(f1232,plain,
    ( c0_1(a1780)
    | c2_1(a1780)
    | ~ spl0_20
    | ~ spl0_127 ),
    inference(resolution,[],[f820,f291]) ).

fof(f1230,plain,
    ( ~ spl0_123
    | ~ spl0_78
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1224,f322,f241,f547,f793]) ).

fof(f241,plain,
    ( spl0_9
  <=> ! [X127] :
        ( ~ c0_1(X127)
        | ~ c3_1(X127)
        | ~ c2_1(X127) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1224,plain,
    ( ~ c0_1(a1805)
    | ~ c2_1(a1805)
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(resolution,[],[f324,f242]) ).

fof(f242,plain,
    ( ! [X127] :
        ( ~ c3_1(X127)
        | ~ c2_1(X127)
        | ~ c0_1(X127) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f1229,plain,
    ( ~ spl0_123
    | ~ spl0_171
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1222,f339,f322,f1226,f793]) ).

fof(f1222,plain,
    ( ~ c1_1(a1805)
    | ~ c2_1(a1805)
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(resolution,[],[f324,f340]) ).

fof(f1221,plain,
    ( ~ spl0_45
    | ~ spl0_162
    | ~ spl0_9
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1052,f650,f241,f1047,f393]) ).

fof(f650,plain,
    ( spl0_98
  <=> c3_1(a1763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1052,plain,
    ( ~ c2_1(a1763)
    | ~ c0_1(a1763)
    | ~ spl0_9
    | ~ spl0_98 ),
    inference(resolution,[],[f652,f242]) ).

fof(f652,plain,
    ( c3_1(a1763)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f1220,plain,
    ( spl0_99
    | spl0_162
    | ~ spl0_67
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1216,f650,f496,f1047,f655]) ).

fof(f1216,plain,
    ( c2_1(a1763)
    | c1_1(a1763)
    | ~ spl0_67
    | ~ spl0_98 ),
    inference(resolution,[],[f497,f652]) ).

fof(f1149,plain,
    ( spl0_168
    | spl0_151
    | spl0_46
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1139,f444,f398,f968,f1132]) ).

fof(f1139,plain,
    ( c2_1(a1759)
    | c0_1(a1759)
    | spl0_46
    | ~ spl0_56 ),
    inference(resolution,[],[f445,f400]) ).

fof(f400,plain,
    ( ~ c3_1(a1759)
    | spl0_46 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1148,plain,
    ( spl0_129
    | spl0_6
    | ~ spl0_56
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1140,f515,f444,f229,f833]) ).

fof(f833,plain,
    ( spl0_129
  <=> c2_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f229,plain,
    ( spl0_6
  <=> c0_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f515,plain,
    ( spl0_71
  <=> c3_1(a1760) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1140,plain,
    ( c0_1(a1760)
    | c2_1(a1760)
    | ~ spl0_56
    | spl0_71 ),
    inference(resolution,[],[f445,f517]) ).

fof(f517,plain,
    ( ~ c3_1(a1760)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f1135,plain,
    ( spl0_46
    | spl0_168
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1120,f671,f371,f1132,f398]) ).

fof(f1120,plain,
    ( c0_1(a1759)
    | c3_1(a1759)
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(resolution,[],[f372,f673]) ).

fof(f1130,plain,
    ( spl0_124
    | spl0_116
    | ~ spl0_40
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1121,f620,f371,f751,f800]) ).

fof(f800,plain,
    ( spl0_124
  <=> c0_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f751,plain,
    ( spl0_116
  <=> c3_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f620,plain,
    ( spl0_92
  <=> c1_1(a1770) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1121,plain,
    ( c3_1(a1770)
    | c0_1(a1770)
    | ~ spl0_40
    | ~ spl0_92 ),
    inference(resolution,[],[f372,f622]) ).

fof(f622,plain,
    ( c1_1(a1770)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1096,plain,
    ( ~ spl0_122
    | ~ spl0_19
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1055,f309,f220,f285,f787]) ).

fof(f1055,plain,
    ( ~ c2_1(a1771)
    | ~ c0_1(a1771)
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(resolution,[],[f310,f222]) ).

fof(f1081,plain,
    ( ~ spl0_89
    | spl0_11
    | ~ spl0_14
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1080,f701,f263,f250,f603]) ).

fof(f603,plain,
    ( spl0_89
  <=> c2_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f250,plain,
    ( spl0_11
  <=> c1_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f701,plain,
    ( spl0_108
  <=> c0_1(a1765) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1080,plain,
    ( c1_1(a1765)
    | ~ c2_1(a1765)
    | ~ spl0_14
    | ~ spl0_108 ),
    inference(resolution,[],[f703,f264]) ).

fof(f703,plain,
    ( c0_1(a1765)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f1079,plain,
    ( ~ spl0_121
    | ~ spl0_163
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1071,f339,f271,f1075,f782]) ).

fof(f1071,plain,
    ( ~ c2_1(a1756)
    | ~ c1_1(a1756)
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(resolution,[],[f273,f340]) ).

fof(f1078,plain,
    ( ~ spl0_163
    | ~ spl0_125
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1073,f271,f241,f806,f1075]) ).

fof(f1073,plain,
    ( ~ c0_1(a1756)
    | ~ c2_1(a1756)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(resolution,[],[f273,f242]) ).

fof(f1070,plain,
    ( spl0_106
    | ~ spl0_104
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1064,f343,f276,f682,f692]) ).

fof(f692,plain,
    ( spl0_106
  <=> c0_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f682,plain,
    ( spl0_104
  <=> c2_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f276,plain,
    ( spl0_17
  <=> c3_1(a1762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1064,plain,
    ( ~ c2_1(a1762)
    | c0_1(a1762)
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(resolution,[],[f344,f278]) ).

fof(f278,plain,
    ( c3_1(a1762)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f1057,plain,
    ( ~ spl0_60
    | ~ spl0_158
    | ~ spl0_25
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1056,f631,f309,f1012,f463]) ).

fof(f1056,plain,
    ( ~ c2_1(a1786)
    | ~ c0_1(a1786)
    | ~ spl0_25
    | ~ spl0_94 ),
    inference(resolution,[],[f310,f633]) ).

fof(f1034,plain,
    ( spl0_159
    | spl0_91
    | ~ spl0_13
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1032,f477,f260,f615,f1019]) ).

fof(f1032,plain,
    ( c1_1(a1781)
    | c0_1(a1781)
    | ~ spl0_13
    | ~ spl0_63 ),
    inference(resolution,[],[f261,f479]) ).

fof(f1030,plain,
    ( spl0_128
    | spl0_41
    | ~ spl0_23
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1028,f666,f301,f375,f826]) ).

fof(f826,plain,
    ( spl0_128
  <=> c2_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f375,plain,
    ( spl0_41
  <=> c0_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f666,plain,
    ( spl0_101
  <=> c1_1(a1755) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1028,plain,
    ( c0_1(a1755)
    | c2_1(a1755)
    | ~ spl0_23
    | ~ spl0_101 ),
    inference(resolution,[],[f302,f668]) ).

fof(f668,plain,
    ( c1_1(a1755)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f1025,plain,
    ( spl0_103
    | spl0_82
    | ~ spl0_20
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1023,f591,f290,f566,f676]) ).

fof(f676,plain,
    ( spl0_103
  <=> c2_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f566,plain,
    ( spl0_82
  <=> c0_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f591,plain,
    ( spl0_87
  <=> c3_1(a1799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1023,plain,
    ( c0_1(a1799)
    | c2_1(a1799)
    | ~ spl0_20
    | ~ spl0_87 ),
    inference(resolution,[],[f593,f291]) ).

fof(f593,plain,
    ( c3_1(a1799)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f1022,plain,
    ( ~ spl0_159
    | ~ spl0_120
    | ~ spl0_9
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1017,f477,f241,f776,f1019]) ).

fof(f1017,plain,
    ( ~ c2_1(a1781)
    | ~ c0_1(a1781)
    | ~ spl0_9
    | ~ spl0_63 ),
    inference(resolution,[],[f479,f242]) ).

fof(f999,plain,
    ( ~ spl0_21
    | spl0_156 ),
    inference(avatar_split_clause,[],[f151,f996,f293]) ).

fof(f293,plain,
    ( spl0_21
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f151,plain,
    ( c2_1(a1758)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp10
      | ! [X5] :
          ( c2_1(X5)
          | ~ c3_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c3_1(X6)
          | c1_1(X6)
          | ~ ndr1_0
          | ~ c0_1(X6) ) )
    & ( ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | hskp5
      | ! [X101] :
          ( c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0
          | ~ c2_1(X101) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | c0_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ ndr1_0
          | ~ c0_1(X51)
          | c1_1(X51) )
      | ! [X53] :
          ( ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0
          | ~ c1_1(X53) ) )
    & ( ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | c2_1(X93)
          | ~ c1_1(X93) )
      | hskp23
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ ndr1_0
          | c1_1(X94)
          | c3_1(X94) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c3_1(a1823)
        & c1_1(a1823)
        & c2_1(a1823) ) )
    & ( hskp8
      | ! [X95] :
          ( c0_1(X95)
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | c0_1(X7) )
      | ! [X9] :
          ( ~ ndr1_0
          | c1_1(X9)
          | ~ c3_1(X9)
          | ~ c2_1(X9) )
      | ! [X8] :
          ( c2_1(X8)
          | c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ~ hskp15
      | ( ~ c2_1(a1779)
        & c0_1(a1779)
        & ndr1_0
        & ~ c3_1(a1779) ) )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ ndr1_0
          | ~ c1_1(X14)
          | ~ c2_1(X14) )
      | hskp27 )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | ~ c1_1(X46)
          | c2_1(X46) )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50)
          | c3_1(X50) )
      | hskp30
      | hskp29 )
    & ( ( ~ c1_1(a1781)
        & c3_1(a1781)
        & ndr1_0
        & c2_1(a1781) )
      | ~ hskp17 )
    & ( ! [X16] :
          ( c3_1(X16)
          | ~ ndr1_0
          | c1_1(X16)
          | ~ c2_1(X16) )
      | hskp1
      | ! [X15] :
          ( ~ ndr1_0
          | c0_1(X15)
          | c2_1(X15)
          | c1_1(X15) ) )
    & ( ( ~ c1_1(a1754)
        & ~ c0_1(a1754)
        & c2_1(a1754)
        & ndr1_0 )
      | ~ hskp0 )
    & ( hskp18
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107) )
      | ! [X108] :
          ( c3_1(X108)
          | c0_1(X108)
          | ~ ndr1_0
          | ~ c1_1(X108) ) )
    & ( ~ hskp8
      | ( c0_1(a1765)
        & c2_1(a1765)
        & ndr1_0
        & ~ c1_1(a1765) ) )
    & ( hskp2
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c1_1(X48)
          | ~ ndr1_0
          | c3_1(X48) ) )
    & ( ! [X23] :
          ( ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0
          | ~ c3_1(X23) )
      | hskp16
      | hskp22 )
    & ( hskp25
      | hskp3
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | c3_1(X41) ) )
    & ( ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0
          | ~ c2_1(X35) )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c0_1(X34)
          | ~ ndr1_0
          | c1_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33) ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c3_1(X104) )
      | ! [X103] :
          ( c3_1(X103)
          | ~ ndr1_0
          | c1_1(X103)
          | c2_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | c3_1(X102)
          | c2_1(X102)
          | c0_1(X102) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1759)
        & ~ c3_1(a1759)
        & ~ c2_1(a1759) ) )
    & ( hskp10
      | hskp20
      | hskp26 )
    & ( ! [X127] :
          ( ~ c3_1(X127)
          | ~ ndr1_0
          | ~ c0_1(X127)
          | ~ c2_1(X127) )
      | hskp18
      | ! [X126] :
          ( c2_1(X126)
          | ~ c0_1(X126)
          | c3_1(X126)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a1845)
        & ndr1_0
        & ~ c1_1(a1845)
        & c3_1(a1845) )
      | ~ hskp26 )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ ndr1_0
          | ~ c2_1(X114)
          | ~ c0_1(X114) )
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | c1_1(X115)
          | c0_1(X115) )
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1809)
        & ~ c1_1(a1809)
        & ~ c3_1(a1809) ) )
    & ( ! [X123] :
          ( c0_1(X123)
          | c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp14
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c0_1(X122)
          | c3_1(X122)
          | ~ c2_1(X122) ) )
    & ( hskp4
      | hskp8
      | ! [X70] :
          ( ~ c2_1(X70)
          | c0_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp29
      | hskp4 )
    & ( ~ hskp9
      | ( ~ c2_1(a1766)
        & ~ c1_1(a1766)
        & c0_1(a1766)
        & ndr1_0 ) )
    & ( hskp28
      | hskp4
      | hskp1 )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58) )
      | hskp3
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ ndr1_0
          | c0_1(X57)
          | ~ c1_1(X57) ) )
    & ( hskp23
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0
          | ~ c0_1(X37) ) )
    & ( ! [X77] :
          ( c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0
          | c0_1(X77) )
      | ! [X78] :
          ( ~ c0_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ~ c1_1(a1827)
        & ndr1_0
        & ~ c2_1(a1827)
        & ~ c0_1(a1827) )
      | ~ hskp25 )
    & ( hskp0
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | c0_1(X62)
          | c2_1(X62) )
      | ! [X61] :
          ( c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0
          | c2_1(X61) ) )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ ndr1_0
          | ~ c1_1(X110)
          | c3_1(X110) )
      | ! [X111] :
          ( c3_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0
          | c1_1(X111) )
      | hskp15 )
    & ( ! [X26] :
          ( ~ c3_1(X26)
          | ~ ndr1_0
          | c1_1(X26)
          | c2_1(X26) )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27) )
      | hskp29 )
    & ( ! [X117] :
          ( ~ c2_1(X117)
          | ~ c3_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp17
      | ! [X118] :
          ( c0_1(X118)
          | ~ ndr1_0
          | ~ c1_1(X118)
          | ~ c3_1(X118) ) )
    & ( hskp15
      | ! [X68] :
          ( ~ ndr1_0
          | c1_1(X68)
          | ~ c2_1(X68)
          | c3_1(X68) )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0
          | c3_1(X67) ) )
    & ( hskp19
      | hskp6
      | ! [X121] :
          ( c0_1(X121)
          | ~ ndr1_0
          | ~ c1_1(X121)
          | c3_1(X121) ) )
    & ( ~ hskp7
      | ( c3_1(a1763)
        & c0_1(a1763)
        & ~ c1_1(a1763)
        & ndr1_0 ) )
    & ( ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88) )
      | ! [X87] :
          ( c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0
          | ~ c2_1(X87) )
      | hskp16 )
    & ( ( ndr1_0
        & ~ c3_1(a1786)
        & c0_1(a1786)
        & c1_1(a1786) )
      | ~ hskp20 )
    & ( hskp12
      | hskp27
      | ! [X81] :
          ( c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0
          | ~ c1_1(X81) ) )
    & ( ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | ~ ndr1_0
          | c1_1(X109) )
      | hskp11 )
    & ( hskp22
      | ! [X63] :
          ( ~ ndr1_0
          | c1_1(X63)
          | ~ c2_1(X63)
          | c3_1(X63) )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a1767)
        & ~ c0_1(a1767)
        & ndr1_0
        & c3_1(a1767) )
      | ~ hskp10 )
    & ( ! [X98] :
          ( ~ c1_1(X98)
          | ~ ndr1_0
          | ~ c0_1(X98)
          | ~ c3_1(X98) )
      | ! [X97] :
          ( c1_1(X97)
          | ~ ndr1_0
          | ~ c3_1(X97)
          | c2_1(X97) )
      | hskp0 )
    & ( hskp13
      | ! [X0] :
          ( ~ ndr1_0
          | ~ c2_1(X0)
          | c0_1(X0)
          | ~ c1_1(X0) ) )
    & ( ~ hskp18
      | ( ~ c3_1(a1782)
        & ~ c1_1(a1782)
        & ~ c2_1(a1782)
        & ndr1_0 ) )
    & ( ! [X125] :
          ( ~ ndr1_0
          | ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ c2_1(X125) )
      | hskp28
      | ! [X124] :
          ( ~ c1_1(X124)
          | ~ ndr1_0
          | ~ c3_1(X124)
          | c2_1(X124) ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | c2_1(X66)
          | c0_1(X66) )
      | hskp7 )
    & ( ~ hskp5
      | ( ~ c0_1(a1760)
        & ~ c3_1(a1760)
        & ndr1_0
        & ~ c2_1(a1760) ) )
    & ( hskp16
      | ! [X49] :
          ( ~ c2_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp24 )
    & ( hskp24
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ c1_1(X75) )
      | ! [X76] :
          ( ~ c0_1(X76)
          | c1_1(X76)
          | ~ ndr1_0
          | c3_1(X76) ) )
    & ( ~ hskp12
      | ( c1_1(a1770)
        & ~ c3_1(a1770)
        & ~ c0_1(a1770)
        & ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0
          | c3_1(X17) )
      | hskp3
      | hskp4 )
    & ( ! [X30] :
          ( c1_1(X30)
          | ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c0_1(X30) )
      | hskp11
      | ! [X29] :
          ( c0_1(X29)
          | ~ ndr1_0
          | ~ c1_1(X29)
          | c2_1(X29) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56) )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0
          | c0_1(X55) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a1771)
        & c1_1(a1771)
        & ~ c0_1(a1771) ) )
    & ( ~ hskp29
      | ( c0_1(a1805)
        & c2_1(a1805)
        & ndr1_0
        & c3_1(a1805) ) )
    & ( ( ndr1_0
        & c2_1(a1758)
        & c1_1(a1758)
        & ~ c3_1(a1758) )
      | ~ hskp3 )
    & ( ~ hskp22
      | ( ~ c0_1(a1799)
        & ~ c2_1(a1799)
        & ndr1_0
        & c3_1(a1799) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | ~ c1_1(X1)
          | ~ c3_1(X1)
          | c0_1(X1) )
      | hskp1
      | hskp28 )
    & ( hskp4
      | hskp2
      | hskp25 )
    & ( hskp17
      | ! [X59] :
          ( c3_1(X59)
          | c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | c1_1(X60) ) )
    & ( hskp3
      | hskp6
      | ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a1783)
        & ndr1_0
        & c3_1(a1783)
        & ~ c0_1(a1783) )
      | ~ hskp19 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( hskp19
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0
          | c2_1(X69) )
      | hskp13 )
    & ( ~ hskp23
      | ( ~ c3_1(a1807)
        & ~ c0_1(a1807)
        & ndr1_0
        & ~ c1_1(a1807) ) )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c1_1(X112)
          | c3_1(X112)
          | ~ c2_1(X112) )
      | hskp18
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ c1_1(X113) ) )
    & ( ~ hskp21
      | ( c0_1(a1788)
        & c2_1(a1788)
        & ndr1_0
        & ~ c3_1(a1788) ) )
    & ( ! [X119] :
          ( ~ c3_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0
          | ~ c1_1(X119) )
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | c1_1(X120)
          | c0_1(X120) )
      | hskp8 )
    & ( ~ hskp16
      | ( c1_1(a1780)
        & ndr1_0
        & c3_1(a1780)
        & ~ c2_1(a1780) ) )
    & ( ~ hskp2
      | ( ~ c2_1(a1757)
        & c0_1(a1757)
        & c1_1(a1757)
        & ndr1_0 ) )
    & ( hskp9
      | ! [X106] :
          ( c2_1(X106)
          | c0_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | hskp10 )
    & ( hskp27
      | ! [X25] :
          ( c2_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp14
      | hskp2 )
    & ( hskp22
      | hskp15
      | hskp10 )
    & ( hskp4
      | ! [X21] :
          ( c1_1(X21)
          | ~ ndr1_0
          | ~ c2_1(X21)
          | c0_1(X21) )
      | hskp6 )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0
          | ~ c2_1(X20) )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ ndr1_0
          | ~ c1_1(X19)
          | ~ c2_1(X19) )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X80] :
          ( c2_1(X80)
          | ~ ndr1_0
          | ~ c3_1(X80)
          | c0_1(X80) )
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ ndr1_0
          | ~ c0_1(X79)
          | ~ c3_1(X79) ) )
    & ( hskp2
      | ! [X12] :
          ( c2_1(X12)
          | ~ ndr1_0
          | c0_1(X12)
          | ~ c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c2_1(X11) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1777)
        & ~ c3_1(a1777)
        & ~ c0_1(a1777) ) )
    & ( hskp13
      | ! [X90] :
          ( c0_1(X90)
          | ~ c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c0_1(X89)
          | ~ ndr1_0
          | ~ c1_1(X89)
          | c3_1(X89) ) )
    & ( ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0
          | c2_1(X71) )
      | ! [X72] :
          ( c0_1(X72)
          | ~ ndr1_0
          | c2_1(X72)
          | ~ c3_1(X72) )
      | hskp10 )
    & ( hskp26
      | hskp0
      | hskp11 )
    & ( hskp27
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | c0_1(X105) )
      | hskp22 )
    & ( ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0
          | c1_1(X38) )
      | ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0
          | c2_1(X39) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c0_1(X40)
          | ~ c3_1(X40) ) )
    & ( ( c3_1(a1768)
        & ndr1_0
        & ~ c2_1(a1768)
        & c0_1(a1768) )
      | ~ hskp11 )
    & ( hskp6
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73) )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ ndr1_0
          | c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp2
      | ! [X22] :
          ( ~ ndr1_0
          | c1_1(X22)
          | c3_1(X22)
          | c0_1(X22) )
      | hskp27 )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0
          | c0_1(X84) )
      | ! [X82] :
          ( ~ ndr1_0
          | c1_1(X82)
          | ~ c3_1(X82)
          | ~ c2_1(X82) )
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ ndr1_0
          | ~ c0_1(X83)
          | c1_1(X83) ) )
    & ( ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0
          | ~ c1_1(X4) )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | c1_1(X3) ) )
    & ( ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp23
      | hskp5 )
    & ( ! [X99] :
          ( ~ c2_1(X99)
          | ~ ndr1_0
          | c0_1(X99)
          | c3_1(X99) )
      | hskp20
      | hskp6 )
    & ( hskp17
      | ! [X28] :
          ( ~ c0_1(X28)
          | ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28) )
      | hskp15 )
    & ( ( ~ c2_1(a1755)
        & ndr1_0
        & ~ c0_1(a1755)
        & c1_1(a1755) )
      | ~ hskp1 )
    & ( ! [X86] :
          ( ~ c0_1(X86)
          | c1_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp5
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X91] :
          ( c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0
          | ~ c1_1(X91) )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a1756)
        & c0_1(a1756)
        & c3_1(a1756) )
      | ~ hskp27 )
    & ( ( ndr1_0
        & c3_1(a1762)
        & ~ c0_1(a1762)
        & c2_1(a1762) )
      | ~ hskp6 )
    & ( ( c2_1(a1795)
        & c1_1(a1795)
        & c0_1(a1795)
        & ndr1_0 )
      | ~ hskp28 )
    & ( hskp13
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | c0_1(X31)
          | c2_1(X31) )
      | ! [X32] :
          ( c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0
          | c2_1(X32) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp10
      | hskp9
      | ! [X106] :
          ( c3_1(X106)
          | c0_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a1781)
        & c3_1(a1781)
        & ndr1_0
        & c2_1(a1781) )
      | ~ hskp17 )
    & ( ! [X58] :
          ( ~ c0_1(X58)
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp3
      | ! [X57] :
          ( ~ c1_1(X57)
          | c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | hskp6
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | ~ c0_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp3
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a1755)
        & ndr1_0
        & ~ c0_1(a1755)
        & c1_1(a1755) )
      | ~ hskp1 )
    & ( hskp22
      | hskp15
      | hskp10 )
    & ( ( c2_1(a1795)
        & c1_1(a1795)
        & c0_1(a1795)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ~ hskp12
      | ( c1_1(a1770)
        & ~ c3_1(a1770)
        & ~ c0_1(a1770)
        & ndr1_0 ) )
    & ( ! [X71] :
          ( c2_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp10
      | ! [X72] :
          ( c2_1(X72)
          | ~ c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X105] :
          ( ~ c2_1(X105)
          | c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 ) )
    & ( ~ hskp18
      | ( ~ c3_1(a1782)
        & ~ c1_1(a1782)
        & ~ c2_1(a1782)
        & ndr1_0 ) )
    & ( hskp4
      | hskp2
      | hskp25 )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | c1_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | ~ c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | ~ c1_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c3_1(a1762)
        & ~ c0_1(a1762)
        & c2_1(a1762) )
      | ~ hskp6 )
    & ( ~ hskp2
      | ( ~ c2_1(a1757)
        & c0_1(a1757)
        & c1_1(a1757)
        & ndr1_0 ) )
    & ( ! [X126] :
          ( ~ c0_1(X126)
          | c2_1(X126)
          | c3_1(X126)
          | ~ ndr1_0 )
      | hskp18
      | ! [X127] :
          ( ~ c3_1(X127)
          | ~ c0_1(X127)
          | ~ c2_1(X127)
          | ~ ndr1_0 ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c3_1(a1823)
        & c1_1(a1823)
        & c2_1(a1823) ) )
    & ( ! [X120] :
          ( c0_1(X120)
          | ~ c3_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ c1_1(X119)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ~ hskp5
      | ( ~ c0_1(a1760)
        & ~ c3_1(a1760)
        & ndr1_0
        & ~ c2_1(a1760) ) )
    & ( hskp15
      | ! [X68] :
          ( c1_1(X68)
          | ~ c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a1783)
        & ndr1_0
        & c3_1(a1783)
        & ~ c0_1(a1783) )
      | ~ hskp19 )
    & ( ! [X102] :
          ( c3_1(X102)
          | c2_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c1_1(X103)
          | c3_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a1754)
        & ~ c0_1(a1754)
        & c2_1(a1754)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( ~ c1_1(a1767)
        & ~ c0_1(a1767)
        & ndr1_0
        & c3_1(a1767) )
      | ~ hskp10 )
    & ( ! [X115] :
          ( c0_1(X115)
          | c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c2_1(X12)
          | c0_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | c2_1(X29)
          | c0_1(X29)
          | ~ ndr1_0 )
      | hskp11
      | ! [X30] :
          ( c1_1(X30)
          | ~ c0_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1809)
        & ~ c1_1(a1809)
        & ~ c3_1(a1809) ) )
    & ( ~ hskp16
      | ( c1_1(a1780)
        & ndr1_0
        & c3_1(a1780)
        & ~ c2_1(a1780) ) )
    & ( ~ hskp29
      | ( c0_1(a1805)
        & c2_1(a1805)
        & ndr1_0
        & c3_1(a1805) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1777)
        & ~ c3_1(a1777)
        & ~ c0_1(a1777) ) )
    & ( ! [X113] :
          ( ~ c2_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c1_1(X112)
          | c3_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a1771)
        & c1_1(a1771)
        & ~ c0_1(a1771) ) )
    & ( ! [X51] :
          ( ~ c2_1(X51)
          | c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X108] :
          ( c3_1(X108)
          | ~ c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | c2_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a1827)
        & ndr1_0
        & ~ c2_1(a1827)
        & ~ c0_1(a1827) )
      | ~ hskp25 )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp16
      | ! [X87] :
          ( ~ c2_1(X87)
          | ~ c3_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ~ hskp22
      | ( ~ c0_1(a1799)
        & ~ c2_1(a1799)
        & ndr1_0
        & c3_1(a1799) ) )
    & ( ( ndr1_0
        & c2_1(a1758)
        & c1_1(a1758)
        & ~ c3_1(a1758) )
      | ~ hskp3 )
    & ( ! [X54] :
          ( c1_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c0_1(X66)
          | c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | hskp17
      | ! [X59] :
          ( c3_1(X59)
          | c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a1845)
        & ndr1_0
        & ~ c1_1(a1845)
        & c3_1(a1845) )
      | ~ hskp26 )
    & ( ~ hskp23
      | ( ~ c3_1(a1807)
        & ~ c0_1(a1807)
        & ndr1_0
        & ~ c1_1(a1807) ) )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp4
      | hskp8 )
    & ( hskp15
      | ! [X110] :
          ( c3_1(X110)
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c1_1(X111)
          | c3_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( c2_1(X32)
          | c1_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c0_1(X31)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X123] :
          ( c2_1(X123)
          | c0_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp14
      | ! [X122] :
          ( c3_1(X122)
          | ~ c2_1(X122)
          | ~ c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( c0_1(a1788)
        & c2_1(a1788)
        & ndr1_0
        & ~ c3_1(a1788) ) )
    & ( ! [X0] :
          ( ~ c2_1(X0)
          | c0_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp27
      | ! [X81] :
          ( c2_1(X81)
          | c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp29
      | hskp30 )
    & ( hskp26
      | hskp0
      | hskp11 )
    & ( hskp23
      | ! [X37] :
          ( c1_1(X37)
          | c3_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | c3_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X89] :
          ( c3_1(X89)
          | c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c0_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp16
      | hskp24 )
    & ( hskp11
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp22
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X41] :
          ( c3_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X99] :
          ( c0_1(X99)
          | ~ c2_1(X99)
          | c3_1(X99)
          | ~ ndr1_0 )
      | hskp20
      | hskp6 )
    & ( ~ hskp8
      | ( c0_1(a1765)
        & c2_1(a1765)
        & ndr1_0
        & ~ c1_1(a1765) ) )
    & ( ! [X95] :
          ( ~ c3_1(X95)
          | c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp8
      | hskp20 )
    & ( ! [X28] :
          ( c2_1(X28)
          | ~ c0_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp17
      | hskp15 )
    & ( hskp8
      | hskp14
      | hskp2 )
    & ( ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp6
      | ! [X121] :
          ( c0_1(X121)
          | c3_1(X121)
          | ~ c1_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X17] :
          ( c3_1(X17)
          | c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ( c3_1(a1768)
        & ndr1_0
        & ~ c2_1(a1768)
        & c0_1(a1768) )
      | ~ hskp11 )
    & ( hskp6
      | hskp4
      | ! [X21] :
          ( ~ c2_1(X21)
          | c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp10
      | ! [X5] :
          ( ~ c3_1(X5)
          | c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c1_1(X124)
          | ~ c3_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | hskp28
      | ! [X125] :
          ( ~ c2_1(X125)
          | ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp20
      | hskp26 )
    & ( ! [X26] :
          ( c1_1(X26)
          | ~ c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c0_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ( ndr1_0
        & ~ c3_1(a1786)
        & c0_1(a1786)
        & c1_1(a1786) )
      | ~ hskp20 )
    & ( ~ hskp15
      | ( ~ c2_1(a1779)
        & c0_1(a1779)
        & ndr1_0
        & ~ c3_1(a1779) ) )
    & ( ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c3_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp2 )
    & ( hskp5
      | ! [X100] :
          ( c1_1(X100)
          | c2_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c0_1(X101)
          | c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ~ hskp7
      | ( c3_1(a1763)
        & c0_1(a1763)
        & ~ c1_1(a1763)
        & ndr1_0 ) )
    & ( hskp23
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp28
      | hskp4
      | hskp1 )
    & ( ! [X13] :
          ( ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X117] :
          ( ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c0_1(X118)
          | ~ c3_1(X118)
          | ~ c1_1(X118)
          | ~ ndr1_0 )
      | hskp17 )
    & ( hskp2
      | hskp27
      | ! [X22] :
          ( c1_1(X22)
          | c0_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X94] :
          ( ~ c2_1(X94)
          | c1_1(X94)
          | c3_1(X94)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c2_1(X8)
          | ~ c3_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | c1_1(X9)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X80] :
          ( c0_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c3_1(X18)
          | ~ c0_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 ) )
    & ( ~ hskp9
      | ( ~ c2_1(a1766)
        & ~ c1_1(a1766)
        & c0_1(a1766)
        & ndr1_0 ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1759)
        & ~ c3_1(a1759)
        & ~ c2_1(a1759) ) )
    & ( ! [X39] :
          ( c2_1(X39)
          | c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | ~ c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp22 )
    & ( hskp5
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp1
      | ! [X1] :
          ( ~ c1_1(X1)
          | ~ c3_1(X1)
          | c0_1(X1)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a1756)
        & c0_1(a1756)
        & c3_1(a1756) )
      | ~ hskp27 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp10
      | hskp9
      | ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | c0_1(X106)
            | c2_1(X106) ) ) )
    & ( ( ~ c1_1(a1781)
        & c3_1(a1781)
        & ndr1_0
        & c2_1(a1781) )
      | ~ hskp17 )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c3_1(X58)
            | ~ c1_1(X58) ) )
      | hskp3
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c0_1(X57)
            | ~ c3_1(X57) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c3_1(X62)
            | c2_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | c0_1(X61) ) )
      | hskp0 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c3_1(X74)
            | c0_1(X74) ) )
      | hskp6
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c3_1(X73)
            | ~ c2_1(X73) ) ) )
    & ( hskp29
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | ~ c0_1(X43) ) )
      | hskp4 )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c2_1(X97)
            | c1_1(X97) ) )
      | hskp0 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c2_1(X109)
            | c1_1(X109) ) )
      | hskp11 )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c1_1(X3)
            | ~ c0_1(X3)
            | ~ c2_1(X3) ) ) )
    & ( hskp6
      | hskp3
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) ) )
    & ( ( ~ c2_1(a1755)
        & ndr1_0
        & ~ c0_1(a1755)
        & c1_1(a1755) )
      | ~ hskp1 )
    & ( hskp22
      | hskp15
      | hskp10 )
    & ( ( c2_1(a1795)
        & c1_1(a1795)
        & c0_1(a1795)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ~ hskp12
      | ( c1_1(a1770)
        & ~ c3_1(a1770)
        & ~ c0_1(a1770)
        & ndr1_0 ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c0_1(X71)
            | ~ c3_1(X71) ) )
      | hskp10
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp22
      | hskp27
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | c0_1(X105)
            | ~ c3_1(X105) ) ) )
    & ( ~ hskp18
      | ( ~ c3_1(a1782)
        & ~ c1_1(a1782)
        & ~ c2_1(a1782)
        & ndr1_0 ) )
    & ( hskp4
      | hskp2
      | hskp25 )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c1_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | ~ c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | ~ c1_1(X46)
            | c2_1(X46) ) ) )
    & ( ( ndr1_0
        & c3_1(a1762)
        & ~ c0_1(a1762)
        & c2_1(a1762) )
      | ~ hskp6 )
    & ( ~ hskp2
      | ( ~ c2_1(a1757)
        & c0_1(a1757)
        & c1_1(a1757)
        & ndr1_0 ) )
    & ( ! [X126] :
          ( ndr1_0
         => ( ~ c0_1(X126)
            | c2_1(X126)
            | c3_1(X126) ) )
      | hskp18
      | ! [X127] :
          ( ndr1_0
         => ( ~ c3_1(X127)
            | ~ c0_1(X127)
            | ~ c2_1(X127) ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c3_1(a1823)
        & c1_1(a1823)
        & c2_1(a1823) ) )
    & ( ! [X120] :
          ( ndr1_0
         => ( c0_1(X120)
            | ~ c3_1(X120)
            | c1_1(X120) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | ~ c3_1(X119)
            | ~ c1_1(X119) ) )
      | hskp8 )
    & ( ~ hskp5
      | ( ~ c0_1(a1760)
        & ~ c3_1(a1760)
        & ndr1_0
        & ~ c2_1(a1760) ) )
    & ( hskp15
      | ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | ~ c2_1(X68)
            | c3_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) ) )
    & ( ( c1_1(a1783)
        & ndr1_0
        & c3_1(a1783)
        & ~ c0_1(a1783) )
      | ~ hskp19 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | c2_1(X102)
            | c0_1(X102) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c3_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | c3_1(X103)
            | c2_1(X103) ) ) )
    & ( ( ~ c1_1(a1754)
        & ~ c0_1(a1754)
        & c2_1(a1754)
        & ndr1_0 )
      | ~ hskp0 )
    & ( ( ~ c1_1(a1767)
        & ~ c0_1(a1767)
        & ndr1_0
        & c3_1(a1767) )
      | ~ hskp10 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c0_1(X115)
            | c1_1(X115)
            | ~ c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | ~ c3_1(X116)
            | ~ c2_1(X116) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c3_1(X114)
            | ~ c2_1(X114) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c0_1(X12)
            | ~ c3_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c1_1(X11)
            | c2_1(X11) ) )
      | hskp2 )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) )
      | hskp11
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | ~ c0_1(X30)
            | ~ c3_1(X30) ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1809)
        & ~ c1_1(a1809)
        & ~ c3_1(a1809) ) )
    & ( ~ hskp16
      | ( c1_1(a1780)
        & ndr1_0
        & c3_1(a1780)
        & ~ c2_1(a1780) ) )
    & ( ~ hskp29
      | ( c0_1(a1805)
        & c2_1(a1805)
        & ndr1_0
        & c3_1(a1805) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1777)
        & ~ c3_1(a1777)
        & ~ c0_1(a1777) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | ~ c1_1(X113)
            | ~ c3_1(X113) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c1_1(X112)
            | c3_1(X112)
            | ~ c2_1(X112) ) )
      | hskp18 )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a1771)
        & c1_1(a1771)
        & ~ c0_1(a1771) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c1_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | c1_1(X52)
            | c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c2_1(X53) ) ) )
    & ( hskp24
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | c1_1(X76)
            | c3_1(X76) ) ) )
    & ( hskp18
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c1_1(X108)
            | c0_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c2_1(X107)
            | ~ c0_1(X107) ) ) )
    & ( ( ~ c1_1(a1827)
        & ndr1_0
        & ~ c2_1(a1827)
        & ~ c0_1(a1827) )
      | ~ hskp25 )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | ~ c0_1(X88) ) )
      | hskp16
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c3_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp16
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c2_1(X96)
            | c0_1(X96) ) )
      | hskp15 )
    & ( ~ hskp22
      | ( ~ c0_1(a1799)
        & ~ c2_1(a1799)
        & ndr1_0
        & c3_1(a1799) ) )
    & ( ( ndr1_0
        & c2_1(a1758)
        & c1_1(a1758)
        & ~ c3_1(a1758) )
      | ~ hskp3 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | ~ c0_1(X54)
            | c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c0_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c0_1(X56) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | c2_1(X66)
            | ~ c1_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c0_1(X65)
            | ~ c3_1(X65) ) )
      | hskp7 )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c1_1(X60) ) )
      | hskp17
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c0_1(X59)
            | ~ c1_1(X59) ) ) )
    & ( ( ~ c2_1(a1845)
        & ndr1_0
        & ~ c1_1(a1845)
        & c3_1(a1845) )
      | ~ hskp26 )
    & ( ~ hskp23
      | ( ~ c3_1(a1807)
        & ~ c0_1(a1807)
        & ndr1_0
        & ~ c1_1(a1807) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c3_1(X70)
            | ~ c2_1(X70) ) )
      | hskp4
      | hskp8 )
    & ( hskp15
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | ~ c0_1(X110)
            | ~ c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c1_1(X111)
            | c3_1(X111)
            | ~ c2_1(X111) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | c1_1(X32)
            | c3_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) )
      | hskp13 )
    & ( ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | c0_1(X123)
            | ~ c3_1(X123) ) )
      | hskp14
      | ! [X122] :
          ( ndr1_0
         => ( c3_1(X122)
            | ~ c2_1(X122)
            | ~ c0_1(X122) ) ) )
    & ( ~ hskp21
      | ( c0_1(a1788)
        & c2_1(a1788)
        & ndr1_0
        & ~ c3_1(a1788) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | c0_1(X0)
            | ~ c1_1(X0) ) )
      | hskp13 )
    & ( hskp27
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c0_1(X81)
            | ~ c1_1(X81) ) )
      | hskp12 )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | ~ c1_1(X50) ) )
      | hskp29
      | hskp30 )
    & ( hskp26
      | hskp0
      | hskp11 )
    & ( hskp23
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c3_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c3_1(X36)
            | ~ c0_1(X36) ) ) )
    & ( hskp13
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | hskp19 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c0_1(X89)
            | ~ c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c0_1(X90)
            | c2_1(X90) ) )
      | hskp13 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c2_1(X49)
            | ~ c1_1(X49) ) )
      | hskp16
      | hskp24 )
    & ( hskp11
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | ~ c0_1(X78) ) ) )
    & ( hskp16
      | hskp22
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c3_1(X23)
            | ~ c2_1(X23) ) ) )
    & ( hskp25
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c2_1(X41)
            | ~ c1_1(X41) ) )
      | hskp3 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c0_1(X99)
            | ~ c2_1(X99)
            | c3_1(X99) ) )
      | hskp20
      | hskp6 )
    & ( ~ hskp8
      | ( c0_1(a1765)
        & c2_1(a1765)
        & ndr1_0
        & ~ c1_1(a1765) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp8
      | hskp20 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c2_1(X28)
            | ~ c0_1(X28)
            | c3_1(X28) ) )
      | hskp17
      | hskp15 )
    & ( hskp8
      | hskp14
      | hskp2 )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | ~ c2_1(X82) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | c3_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp19
      | hskp6
      | ! [X121] :
          ( ndr1_0
         => ( c0_1(X121)
            | c3_1(X121)
            | ~ c1_1(X121) ) ) )
    & ( hskp3
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c0_1(X17)
            | c1_1(X17) ) )
      | hskp4 )
    & ( ( c3_1(a1768)
        & ndr1_0
        & ~ c2_1(a1768)
        & c0_1(a1768) )
      | ~ hskp11 )
    & ( hskp6
      | hskp4
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | c0_1(X21)
            | c1_1(X21) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c1_1(X25)
            | c2_1(X25)
            | ~ c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | ~ c3_1(X24) ) )
      | hskp27 )
    & ( hskp10
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | c0_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) ) )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | ~ c3_1(X124)
            | c2_1(X124) ) )
      | hskp28
      | ! [X125] :
          ( ndr1_0
         => ( ~ c2_1(X125)
            | ~ c0_1(X125)
            | ~ c1_1(X125) ) ) )
    & ( hskp10
      | hskp20
      | hskp26 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c3_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c0_1(X27)
            | c2_1(X27) ) )
      | hskp29 )
    & ( ( ndr1_0
        & ~ c3_1(a1786)
        & c0_1(a1786)
        & c1_1(a1786) )
      | ~ hskp20 )
    & ( ~ hskp15
      | ( ~ c2_1(a1779)
        & c0_1(a1779)
        & ndr1_0
        & ~ c3_1(a1779) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c0_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c3_1(X34)
            | c0_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c3_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | ~ c2_1(X47)
            | c3_1(X47) ) )
      | hskp2 )
    & ( hskp5
      | ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | c2_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c0_1(X101)
            | c1_1(X101)
            | ~ c2_1(X101) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | c1_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | c1_1(X16)
            | c3_1(X16) ) )
      | hskp1 )
    & ( ~ hskp7
      | ( c3_1(a1763)
        & c0_1(a1763)
        & ~ c1_1(a1763)
        & ndr1_0 ) )
    & ( hskp23
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | ~ c3_1(X10) ) )
      | hskp5 )
    & ( hskp28
      | hskp4
      | hskp1 )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c2_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c2_1(X14)
            | ~ c1_1(X14) ) )
      | hskp27 )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | ~ c1_1(X117)
            | ~ c3_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c0_1(X118)
            | ~ c3_1(X118)
            | ~ c1_1(X118) ) )
      | hskp17 )
    & ( hskp2
      | hskp27
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c0_1(X22)
            | c3_1(X22) ) ) )
    & ( hskp21
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c2_1(X92)
            | c1_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | ~ c2_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp23
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c1_1(X94)
            | c3_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c2_1(X93)
            | ~ c1_1(X93) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c3_1(X8)
            | c1_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | c1_1(X9) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) ) )
    & ( hskp3
      | ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c3_1(X79)
            | ~ c1_1(X79) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | ~ c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | ~ c0_1(X18)
            | ~ c1_1(X18) ) ) )
    & ( ~ hskp9
      | ( ~ c2_1(a1766)
        & ~ c1_1(a1766)
        & c0_1(a1766)
        & ndr1_0 ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1759)
        & ~ c3_1(a1759)
        & ~ c2_1(a1759) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c2_1(X39)
            | c0_1(X39)
            | c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c3_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | ~ c0_1(X38)
            | c2_1(X38) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | ~ c2_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | c3_1(X63) ) )
      | hskp22 )
    & ( hskp5
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c0_1(X86)
            | c1_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c2_1(X85)
            | ~ c1_1(X85) ) ) )
    & ( hskp28
      | hskp1
      | ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | ~ c3_1(X1)
            | c0_1(X1) ) ) )
    & ( ( ndr1_0
        & c1_1(a1756)
        & c0_1(a1756)
        & c3_1(a1756) )
      | ~ hskp27 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp10
          | hskp9
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | c0_1(X106)
                | c2_1(X106) ) ) )
        & ( ( ~ c1_1(a1781)
            & c3_1(a1781)
            & ndr1_0
            & c2_1(a1781) )
          | ~ hskp17 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | ~ c1_1(X58) ) )
          | hskp3
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c0_1(X57)
                | ~ c3_1(X57) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c3_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | c0_1(X61) ) )
          | hskp0 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c3_1(X74)
                | c0_1(X74) ) )
          | hskp6
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c3_1(X73)
                | ~ c2_1(X73) ) ) )
        & ( hskp29
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | hskp4 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) )
          | hskp0 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c2_1(X109)
                | c1_1(X109) ) )
          | hskp11 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | ~ c0_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( hskp6
          | hskp3
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ( ~ c2_1(a1755)
            & ndr1_0
            & ~ c0_1(a1755)
            & c1_1(a1755) )
          | ~ hskp1 )
        & ( hskp22
          | hskp15
          | hskp10 )
        & ( ( c2_1(a1795)
            & c1_1(a1795)
            & c0_1(a1795)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ~ hskp12
          | ( c1_1(a1770)
            & ~ c3_1(a1770)
            & ~ c0_1(a1770)
            & ndr1_0 ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) )
          | hskp10
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp22
          | hskp27
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c0_1(X105)
                | ~ c3_1(X105) ) ) )
        & ( ~ hskp18
          | ( ~ c3_1(a1782)
            & ~ c1_1(a1782)
            & ~ c2_1(a1782)
            & ndr1_0 ) )
        & ( hskp4
          | hskp2
          | hskp25 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | ~ c1_1(X46)
                | c2_1(X46) ) ) )
        & ( ( ndr1_0
            & c3_1(a1762)
            & ~ c0_1(a1762)
            & c2_1(a1762) )
          | ~ hskp6 )
        & ( ~ hskp2
          | ( ~ c2_1(a1757)
            & c0_1(a1757)
            & c1_1(a1757)
            & ndr1_0 ) )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c0_1(X126)
                | c2_1(X126)
                | c3_1(X126) ) )
          | hskp18
          | ! [X127] :
              ( ndr1_0
             => ( ~ c3_1(X127)
                | ~ c0_1(X127)
                | ~ c2_1(X127) ) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c3_1(a1823)
            & c1_1(a1823)
            & c2_1(a1823) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( c0_1(X120)
                | ~ c3_1(X120)
                | c1_1(X120) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c3_1(X119)
                | ~ c1_1(X119) ) )
          | hskp8 )
        & ( ~ hskp5
          | ( ~ c0_1(a1760)
            & ~ c3_1(a1760)
            & ndr1_0
            & ~ c2_1(a1760) ) )
        & ( hskp15
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c2_1(X68)
                | c3_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ( c1_1(a1783)
            & ndr1_0
            & c3_1(a1783)
            & ~ c0_1(a1783) )
          | ~ hskp19 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c2_1(X102)
                | c0_1(X102) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c3_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | c3_1(X103)
                | c2_1(X103) ) ) )
        & ( ( ~ c1_1(a1754)
            & ~ c0_1(a1754)
            & c2_1(a1754)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ( ~ c1_1(a1767)
            & ~ c0_1(a1767)
            & ndr1_0
            & c3_1(a1767) )
          | ~ hskp10 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c0_1(X115)
                | c1_1(X115)
                | ~ c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c3_1(X116)
                | ~ c2_1(X116) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c3_1(X114)
                | ~ c2_1(X114) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c0_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | hskp2 )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) )
          | hskp11
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | ~ c0_1(X30)
                | ~ c3_1(X30) ) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a1809)
            & ~ c1_1(a1809)
            & ~ c3_1(a1809) ) )
        & ( ~ hskp16
          | ( c1_1(a1780)
            & ndr1_0
            & c3_1(a1780)
            & ~ c2_1(a1780) ) )
        & ( ~ hskp29
          | ( c0_1(a1805)
            & c2_1(a1805)
            & ndr1_0
            & c3_1(a1805) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a1777)
            & ~ c3_1(a1777)
            & ~ c0_1(a1777) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | c3_1(X112)
                | ~ c2_1(X112) ) )
          | hskp18 )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a1771)
            & c1_1(a1771)
            & ~ c0_1(a1771) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | c1_1(X52)
                | c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) ) )
        & ( hskp24
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c1_1(X76)
                | c3_1(X76) ) ) )
        & ( hskp18
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c1_1(X108)
                | c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c2_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( ( ~ c1_1(a1827)
            & ndr1_0
            & ~ c2_1(a1827)
            & ~ c0_1(a1827) )
          | ~ hskp25 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c0_1(X88) ) )
          | hskp16
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c3_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp16
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c2_1(X96)
                | c0_1(X96) ) )
          | hskp15 )
        & ( ~ hskp22
          | ( ~ c0_1(a1799)
            & ~ c2_1(a1799)
            & ndr1_0
            & c3_1(a1799) ) )
        & ( ( ndr1_0
            & c2_1(a1758)
            & c1_1(a1758)
            & ~ c3_1(a1758) )
          | ~ hskp3 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c0_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | c2_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c0_1(X65)
                | ~ c3_1(X65) ) )
          | hskp7 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c1_1(X60) ) )
          | hskp17
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c0_1(X59)
                | ~ c1_1(X59) ) ) )
        & ( ( ~ c2_1(a1845)
            & ndr1_0
            & ~ c1_1(a1845)
            & c3_1(a1845) )
          | ~ hskp26 )
        & ( ~ hskp23
          | ( ~ c3_1(a1807)
            & ~ c0_1(a1807)
            & ndr1_0
            & ~ c1_1(a1807) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c3_1(X70)
                | ~ c2_1(X70) ) )
          | hskp4
          | hskp8 )
        & ( hskp15
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c0_1(X110)
                | ~ c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c1_1(X111)
                | c3_1(X111)
                | ~ c2_1(X111) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c1_1(X32)
                | c3_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) )
          | hskp13 )
        & ( ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | c0_1(X123)
                | ~ c3_1(X123) ) )
          | hskp14
          | ! [X122] :
              ( ndr1_0
             => ( c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( ~ hskp21
          | ( c0_1(a1788)
            & c2_1(a1788)
            & ndr1_0
            & ~ c3_1(a1788) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | c0_1(X0)
                | ~ c1_1(X0) ) )
          | hskp13 )
        & ( hskp27
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp12 )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | ~ c1_1(X50) ) )
          | hskp29
          | hskp30 )
        & ( hskp26
          | hskp0
          | hskp11 )
        & ( hskp23
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c3_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( hskp13
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | hskp19 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c0_1(X89)
                | ~ c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c0_1(X90)
                | c2_1(X90) ) )
          | hskp13 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c2_1(X49)
                | ~ c1_1(X49) ) )
          | hskp16
          | hskp24 )
        & ( hskp11
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | ~ c0_1(X78) ) ) )
        & ( hskp16
          | hskp22
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c3_1(X23)
                | ~ c2_1(X23) ) ) )
        & ( hskp25
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | hskp3 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c0_1(X99)
                | ~ c2_1(X99)
                | c3_1(X99) ) )
          | hskp20
          | hskp6 )
        & ( ~ hskp8
          | ( c0_1(a1765)
            & c2_1(a1765)
            & ndr1_0
            & ~ c1_1(a1765) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp8
          | hskp20 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | ~ c0_1(X28)
                | c3_1(X28) ) )
          | hskp17
          | hskp15 )
        & ( hskp8
          | hskp14
          | hskp2 )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp19
          | hskp6
          | ! [X121] :
              ( ndr1_0
             => ( c0_1(X121)
                | c3_1(X121)
                | ~ c1_1(X121) ) ) )
        & ( hskp3
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c0_1(X17)
                | c1_1(X17) ) )
          | hskp4 )
        & ( ( c3_1(a1768)
            & ndr1_0
            & ~ c2_1(a1768)
            & c0_1(a1768) )
          | ~ hskp11 )
        & ( hskp6
          | hskp4
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c0_1(X21)
                | c1_1(X21) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c2_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) )
          | hskp27 )
        & ( hskp10
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c0_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c3_1(X124)
                | c2_1(X124) ) )
          | hskp28
          | ! [X125] :
              ( ndr1_0
             => ( ~ c2_1(X125)
                | ~ c0_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp10
          | hskp20
          | hskp26 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c3_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | hskp29 )
        & ( ( ndr1_0
            & ~ c3_1(a1786)
            & c0_1(a1786)
            & c1_1(a1786) )
          | ~ hskp20 )
        & ( ~ hskp15
          | ( ~ c2_1(a1779)
            & c0_1(a1779)
            & ndr1_0
            & ~ c3_1(a1779) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c3_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c3_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c2_1(X47)
                | c3_1(X47) ) )
          | hskp2 )
        & ( hskp5
          | ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | c2_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c0_1(X101)
                | c1_1(X101)
                | ~ c2_1(X101) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | c1_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | hskp1 )
        & ( ~ hskp7
          | ( c3_1(a1763)
            & c0_1(a1763)
            & ~ c1_1(a1763)
            & ndr1_0 ) )
        & ( hskp23
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | ~ c3_1(X10) ) )
          | hskp5 )
        & ( hskp28
          | hskp4
          | hskp1 )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c2_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c2_1(X14)
                | ~ c1_1(X14) ) )
          | hskp27 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c0_1(X118)
                | ~ c3_1(X118)
                | ~ c1_1(X118) ) )
          | hskp17 )
        & ( hskp2
          | hskp27
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c0_1(X22)
                | c3_1(X22) ) ) )
        & ( hskp21
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c2_1(X92)
                | c1_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c2_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp23
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c1_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | ~ c1_1(X93) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c3_1(X8)
                | c1_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | c1_1(X9) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) ) )
        & ( hskp3
          | ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c3_1(X79)
                | ~ c1_1(X79) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | ~ c0_1(X18)
                | ~ c1_1(X18) ) ) )
        & ( ~ hskp9
          | ( ~ c2_1(a1766)
            & ~ c1_1(a1766)
            & c0_1(a1766)
            & ndr1_0 ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1759)
            & ~ c3_1(a1759)
            & ~ c2_1(a1759) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c0_1(X39)
                | c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c3_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | ~ c0_1(X38)
                | c2_1(X38) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | c3_1(X63) ) )
          | hskp22 )
        & ( hskp5
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c2_1(X85)
                | ~ c1_1(X85) ) ) )
        & ( hskp28
          | hskp1
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c3_1(X1)
                | c0_1(X1) ) ) )
        & ( ( ndr1_0
            & c1_1(a1756)
            & c0_1(a1756)
            & c3_1(a1756) )
          | ~ hskp27 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp9
          | ( ~ c2_1(a1766)
            & ~ c1_1(a1766)
            & c0_1(a1766)
            & ndr1_0 ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) )
          | hskp13 )
        & ( ( ndr1_0
            & c1_1(a1756)
            & c0_1(a1756)
            & c3_1(a1756) )
          | ~ hskp27 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c3_1(X75)
                | c0_1(X75) ) )
          | hskp1
          | hskp28 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c2_1(X108)
                | c1_1(X108) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( ~ hskp16
          | ( c1_1(a1780)
            & ndr1_0
            & c3_1(a1780)
            & ~ c2_1(a1780) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c0_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c1_1(X43)
                | c3_1(X43) ) )
          | hskp10 )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | ~ c2_1(X81) ) ) )
        & ( ~ hskp23
          | ( ~ c3_1(a1807)
            & ~ c0_1(a1807)
            & ndr1_0
            & ~ c1_1(a1807) ) )
        & ( hskp23
          | hskp5
          | ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c0_1(X126)
                | ~ c3_1(X126) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c2_1(X37)
                | c3_1(X37) ) )
          | hskp2
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c3_1(X36)
                | c2_1(X36) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c2_1(X64) ) )
          | hskp27 )
        & ( ~ hskp2
          | ( ~ c2_1(a1757)
            & c0_1(a1757)
            & c1_1(a1757)
            & ndr1_0 ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | hskp1 )
        & ( ~ hskp12
          | ( c1_1(a1770)
            & ~ c3_1(a1770)
            & ~ c0_1(a1770)
            & ndr1_0 ) )
        & ( hskp3
          | hskp4
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c0_1(X5)
                | c3_1(X5) ) ) )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | c3_1(X119)
                | ~ c1_1(X119) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) ) )
        & ( hskp6
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | hskp4 )
        & ( hskp27
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) )
          | hskp2 )
        & ( ! [X127] :
              ( ndr1_0
             => ( ~ c1_1(X127)
                | ~ c2_1(X127)
                | ~ c3_1(X127) ) )
          | hskp16
          | hskp22 )
        & ( hskp27
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c0_1(X40)
                | c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c1_1(X41)
                | c2_1(X41) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp29 )
        & ( hskp15
          | ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | c2_1(X115)
                | c3_1(X115) ) )
          | hskp17 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c1_1(X31)
                | c0_1(X31) ) )
          | hskp11
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c0_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) )
          | hskp13 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c3_1(X14)
                | c1_1(X14) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c2_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp23 )
        & ( ~ hskp5
          | ( ~ c0_1(a1760)
            & ~ c3_1(a1760)
            & ndr1_0
            & ~ c2_1(a1760) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c1_1(X28)
                | c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c0_1(X27)
                | c2_1(X27) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | ~ c1_1(X124)
                | c3_1(X124) ) )
          | hskp25
          | hskp3 )
        & ( ( ~ c2_1(a1755)
            & ndr1_0
            & ~ c0_1(a1755)
            & c1_1(a1755) )
          | ~ hskp1 )
        & ( hskp10
          | hskp20
          | hskp26 )
        & ( hskp3
          | hskp6
          | ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) ) )
        & ( hskp4
          | hskp29
          | ! [X125] :
              ( ndr1_0
             => ( ~ c2_1(X125)
                | ~ c0_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c0_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | ~ c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | ~ c1_1(X70) ) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a1777)
            & ~ c3_1(a1777)
            & ~ c0_1(a1777) ) )
        & ( ~ hskp7
          | ( c3_1(a1763)
            & c0_1(a1763)
            & ~ c1_1(a1763)
            & ndr1_0 ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c1_1(X94)
                | c3_1(X94) ) )
          | hskp2 )
        & ( ( ~ c2_1(a1845)
            & ndr1_0
            & ~ c1_1(a1845)
            & c3_1(a1845) )
          | ~ hskp26 )
        & ( hskp26
          | hskp0
          | hskp11 )
        & ( hskp22
          | hskp15
          | hskp10 )
        & ( hskp24
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | c3_1(X123)
                | ~ c1_1(X123) ) )
          | hskp16 )
        & ( hskp29
          | ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | c3_1(X122)
                | ~ c2_1(X122) ) )
          | hskp30 )
        & ( ~ hskp29
          | ( c0_1(a1805)
            & c2_1(a1805)
            & ndr1_0
            & c3_1(a1805) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c0_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c0_1(X11)
                | c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | ~ c2_1(X12)
                | ~ c1_1(X12) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c3_1(X78)
                | ~ c2_1(X78) ) ) )
        & ( hskp28
          | hskp4
          | hskp1 )
        & ( ~ hskp30
          | ( ndr1_0
            & c3_1(a1823)
            & c1_1(a1823)
            & c2_1(a1823) ) )
        & ( ( ndr1_0
            & ~ c3_1(a1786)
            & c0_1(a1786)
            & c1_1(a1786) )
          | ~ hskp20 )
        & ( ( c1_1(a1783)
            & ndr1_0
            & c3_1(a1783)
            & ~ c0_1(a1783) )
          | ~ hskp19 )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c0_1(X71)
                | ~ c3_1(X71) ) )
          | hskp3
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a1809)
            & ~ c1_1(a1809)
            & ~ c3_1(a1809) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c0_1(X51)
                | ~ c1_1(X51) ) )
          | hskp17
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c3_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp0
          | ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c2_1(X0)
                | c1_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c3_1(X1)
                | c2_1(X1) ) ) )
        & ( hskp22
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c3_1(X105)
                | ~ c2_1(X105) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c0_1(X10)
                | c2_1(X10) ) )
          | hskp7 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) )
          | hskp15
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) ) )
        & ( ~ hskp21
          | ( c0_1(a1788)
            & c2_1(a1788)
            & ndr1_0
            & ~ c3_1(a1788) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c0_1(X116)
                | ~ c1_1(X116) ) )
          | hskp19
          | hskp13 )
        & ( ~ hskp18
          | ( ~ c3_1(a1782)
            & ~ c1_1(a1782)
            & ~ c2_1(a1782)
            & ndr1_0 ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c3_1(X86)
                | c0_1(X86) ) )
          | hskp4
          | hskp8 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c0_1(X44)
                | c2_1(X44) ) )
          | hskp10 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c3_1(X21)
                | ~ c0_1(X21) ) )
          | hskp6
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c3_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c3_1(X97)
                | ~ c1_1(X97) ) )
          | hskp24
          | ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c0_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c3_1(X60)
                | c2_1(X60) ) )
          | hskp11 )
        & ( hskp3
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c0_1(X48)
                | c2_1(X48) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) )
          | hskp12
          | hskp27 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c1_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c3_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) ) )
        & ( ( ~ c1_1(a1827)
            & ndr1_0
            & ~ c2_1(a1827)
            & ~ c0_1(a1827) )
          | ~ hskp25 )
        & ( ( ndr1_0
            & c3_1(a1762)
            & ~ c0_1(a1762)
            & c2_1(a1762) )
          | ~ hskp6 )
        & ( hskp5
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) ) )
        & ( ( ndr1_0
            & c2_1(a1758)
            & c1_1(a1758)
            & ~ c3_1(a1758) )
          | ~ hskp3 )
        & ( ( c3_1(a1768)
            & ndr1_0
            & ~ c2_1(a1768)
            & c0_1(a1768) )
          | ~ hskp11 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c3_1(X82)
                | ~ c2_1(X82) ) )
          | hskp16
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | ~ c2_1(X83) ) ) )
        & ( ~ hskp8
          | ( c0_1(a1765)
            & c2_1(a1765)
            & ndr1_0
            & ~ c1_1(a1765) ) )
        & ( hskp13
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c3_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c1_1(X63)
                | ~ c0_1(X63) ) )
          | hskp21 )
        & ( ( c2_1(a1795)
            & c1_1(a1795)
            & c0_1(a1795)
            & ndr1_0 )
          | ~ hskp28 )
        & ( hskp23
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp8
          | hskp20
          | ! [X85] :
              ( ndr1_0
             => ( c0_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) ) )
        & ( hskp8
          | hskp14
          | hskp2 )
        & ( hskp16
          | hskp15
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c3_1(X90)
                | c2_1(X90) ) )
          | hskp0
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( hskp20
          | hskp6
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp4
          | hskp2
          | hskp25 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c3_1(X26)
                | ~ c1_1(X26) ) ) )
        & ( hskp27
          | ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp22 )
        & ( hskp9
          | hskp10
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) ) )
        & ( hskp18
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c0_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c0_1(X53)
                | ~ c1_1(X53) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) )
          | hskp11 )
        & ( ( ~ c1_1(a1781)
            & c3_1(a1781)
            & ndr1_0
            & c2_1(a1781) )
          | ~ hskp17 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | c3_1(X102)
                | ~ c2_1(X102) ) )
          | hskp15 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | ~ c2_1(X106)
                | c3_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c3_1(X107)
                | ~ c2_1(X107) ) )
          | hskp18 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c3_1(X17)
                | c1_1(X17) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c3_1(X19)
                | ~ c1_1(X19) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) )
          | hskp17
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) ) )
        & ( ~ hskp22
          | ( ~ c0_1(a1799)
            & ~ c2_1(a1799)
            & ndr1_0
            & c3_1(a1799) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1759)
            & ~ c3_1(a1759)
            & ~ c2_1(a1759) ) )
        & ( ~ hskp15
          | ( ~ c2_1(a1779)
            & c0_1(a1779)
            & ndr1_0
            & ~ c3_1(a1779) ) )
        & ( hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c3_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c3_1(X22)
                | c0_1(X22) ) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a1771)
            & c1_1(a1771)
            & ~ c0_1(a1771) ) )
        & ( ( ~ c1_1(a1754)
            & ~ c0_1(a1754)
            & c2_1(a1754)
            & ndr1_0 )
          | ~ hskp0 )
        & ( ( ~ c1_1(a1767)
            & ~ c0_1(a1767)
            & ndr1_0
            & c3_1(a1767) )
          | ~ hskp10 )
        & ( hskp19
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | c3_1(X55) ) )
          | hskp6 )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | ~ c0_1(X47) ) )
          | hskp14
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c0_1(X46)
                | c2_1(X46) ) ) )
        & ( hskp28
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | ~ c1_1(X118) ) ) )
        & ( hskp18
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c3_1(X113)
                | ~ c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ~ hskp9
        | ( ~ c2_1(a1766)
          & ~ c1_1(a1766)
          & c0_1(a1766)
          & ndr1_0 ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) )
        | hskp13 )
      & ( ( ndr1_0
          & c1_1(a1756)
          & c0_1(a1756)
          & c3_1(a1756) )
        | ~ hskp27 )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c3_1(X75)
              | c0_1(X75) ) )
        | hskp1
        | hskp28 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c2_1(X108)
              | c1_1(X108) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( ~ hskp16
        | ( c1_1(a1780)
          & ndr1_0
          & c3_1(a1780)
          & ~ c2_1(a1780) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | c0_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | c1_1(X43)
              | c3_1(X43) ) )
        | hskp10 )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c3_1(X79)
              | c0_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c1_1(X81)
              | ~ c2_1(X81) ) ) )
      & ( ~ hskp23
        | ( ~ c3_1(a1807)
          & ~ c0_1(a1807)
          & ndr1_0
          & ~ c1_1(a1807) ) )
      & ( hskp23
        | hskp5
        | ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c0_1(X126)
              | ~ c3_1(X126) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c2_1(X37)
              | c3_1(X37) ) )
        | hskp2
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c3_1(X36)
              | c2_1(X36) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c2_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c2_1(X64) ) )
        | hskp27 )
      & ( ~ hskp2
        | ( ~ c2_1(a1757)
          & c0_1(a1757)
          & c1_1(a1757)
          & ndr1_0 ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c1_1(X3)
              | c3_1(X3) ) )
        | hskp1 )
      & ( ~ hskp12
        | ( c1_1(a1770)
          & ~ c3_1(a1770)
          & ~ c0_1(a1770)
          & ndr1_0 ) )
      & ( hskp3
        | hskp4
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c0_1(X5)
              | c3_1(X5) ) ) )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | c3_1(X119)
              | ~ c1_1(X119) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c2_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) ) )
      & ( hskp6
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | hskp4 )
      & ( hskp27
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) )
        | hskp2 )
      & ( ! [X127] :
            ( ndr1_0
           => ( ~ c1_1(X127)
              | ~ c2_1(X127)
              | ~ c3_1(X127) ) )
        | hskp16
        | hskp22 )
      & ( hskp27
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c0_1(X40)
              | c2_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | c1_1(X41)
              | c2_1(X41) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c1_1(X88)
              | c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp29 )
      & ( hskp15
        | ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | c2_1(X115)
              | c3_1(X115) ) )
        | hskp17 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | ~ c1_1(X31)
              | c0_1(X31) ) )
        | hskp11
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c0_1(X32)
              | c1_1(X32) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c0_1(X38)
              | c2_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | c3_1(X39)
              | c1_1(X39) ) )
        | hskp13 )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | ~ c0_1(X15)
              | c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c3_1(X14)
              | c1_1(X14) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c2_1(X16)
              | ~ c1_1(X16) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp23 )
      & ( ~ hskp5
        | ( ~ c0_1(a1760)
          & ~ c3_1(a1760)
          & ndr1_0
          & ~ c2_1(a1760) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c1_1(X28)
              | c2_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c0_1(X27)
              | c2_1(X27) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) ) )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c2_1(X124)
              | ~ c1_1(X124)
              | c3_1(X124) ) )
        | hskp25
        | hskp3 )
      & ( ( ~ c2_1(a1755)
          & ndr1_0
          & ~ c0_1(a1755)
          & c1_1(a1755) )
        | ~ hskp1 )
      & ( hskp10
        | hskp20
        | hskp26 )
      & ( hskp3
        | hskp6
        | ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) ) )
      & ( hskp4
        | hskp29
        | ! [X125] :
            ( ndr1_0
           => ( ~ c2_1(X125)
              | ~ c0_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | c0_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c0_1(X69)
              | ~ c2_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | ~ c1_1(X70) ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a1777)
          & ~ c3_1(a1777)
          & ~ c0_1(a1777) ) )
      & ( ~ hskp7
        | ( c3_1(a1763)
          & c0_1(a1763)
          & ~ c1_1(a1763)
          & ndr1_0 ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c1_1(X94)
              | c3_1(X94) ) )
        | hskp2 )
      & ( ( ~ c2_1(a1845)
          & ndr1_0
          & ~ c1_1(a1845)
          & c3_1(a1845) )
        | ~ hskp26 )
      & ( hskp26
        | hskp0
        | hskp11 )
      & ( hskp22
        | hskp15
        | hskp10 )
      & ( hskp24
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | c3_1(X123)
              | ~ c1_1(X123) ) )
        | hskp16 )
      & ( hskp29
        | ! [X122] :
            ( ndr1_0
           => ( ~ c1_1(X122)
              | c3_1(X122)
              | ~ c2_1(X122) ) )
        | hskp30 )
      & ( ~ hskp29
        | ( c0_1(a1805)
          & c2_1(a1805)
          & ndr1_0
          & c3_1(a1805) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c0_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c0_1(X11)
              | c1_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | ~ c2_1(X12)
              | ~ c1_1(X12) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | ~ c3_1(X78)
              | ~ c2_1(X78) ) ) )
      & ( hskp28
        | hskp4
        | hskp1 )
      & ( ~ hskp30
        | ( ndr1_0
          & c3_1(a1823)
          & c1_1(a1823)
          & c2_1(a1823) ) )
      & ( ( ndr1_0
          & ~ c3_1(a1786)
          & c0_1(a1786)
          & c1_1(a1786) )
        | ~ hskp20 )
      & ( ( c1_1(a1783)
          & ndr1_0
          & c3_1(a1783)
          & ~ c0_1(a1783) )
        | ~ hskp19 )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | c0_1(X71)
              | ~ c3_1(X71) ) )
        | hskp3
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a1809)
          & ~ c1_1(a1809)
          & ~ c3_1(a1809) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | c0_1(X51)
              | ~ c1_1(X51) ) )
        | hskp17
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c3_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp0
        | ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c2_1(X0)
              | c1_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c3_1(X1)
              | c2_1(X1) ) ) )
      & ( hskp22
        | ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | c3_1(X105)
              | ~ c2_1(X105) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c0_1(X10)
              | c2_1(X10) ) )
        | hskp7 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) )
        | hskp15
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) ) )
      & ( ~ hskp21
        | ( c0_1(a1788)
          & c2_1(a1788)
          & ndr1_0
          & ~ c3_1(a1788) ) )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c0_1(X116)
              | ~ c1_1(X116) ) )
        | hskp19
        | hskp13 )
      & ( ~ hskp18
        | ( ~ c3_1(a1782)
          & ~ c1_1(a1782)
          & ~ c2_1(a1782)
          & ndr1_0 ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c3_1(X86)
              | c0_1(X86) ) )
        | hskp4
        | hskp8 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c0_1(X44)
              | c2_1(X44) ) )
        | hskp10 )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c3_1(X21)
              | ~ c0_1(X21) ) )
        | hskp6
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c3_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c3_1(X97)
              | ~ c1_1(X97) ) )
        | hskp24
        | ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | c0_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c3_1(X60)
              | c2_1(X60) ) )
        | hskp11 )
      & ( hskp3
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c0_1(X48)
              | c2_1(X48) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) )
        | hskp12
        | hskp27 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c1_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | ~ c3_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) ) )
      & ( ( ~ c1_1(a1827)
          & ndr1_0
          & ~ c2_1(a1827)
          & ~ c0_1(a1827) )
        | ~ hskp25 )
      & ( ( ndr1_0
          & c3_1(a1762)
          & ~ c0_1(a1762)
          & c2_1(a1762) )
        | ~ hskp6 )
      & ( hskp5
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c0_1(X111)
              | c1_1(X111) ) ) )
      & ( ( ndr1_0
          & c2_1(a1758)
          & c1_1(a1758)
          & ~ c3_1(a1758) )
        | ~ hskp3 )
      & ( ( c3_1(a1768)
          & ndr1_0
          & ~ c2_1(a1768)
          & c0_1(a1768) )
        | ~ hskp11 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | ~ c3_1(X82)
              | ~ c2_1(X82) ) )
        | hskp16
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c0_1(X83)
              | ~ c2_1(X83) ) ) )
      & ( ~ hskp8
        | ( c0_1(a1765)
          & c2_1(a1765)
          & ndr1_0
          & ~ c1_1(a1765) ) )
      & ( hskp13
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c3_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | c1_1(X63)
              | ~ c0_1(X63) ) )
        | hskp21 )
      & ( ( c2_1(a1795)
          & c1_1(a1795)
          & c0_1(a1795)
          & ndr1_0 )
        | ~ hskp28 )
      & ( hskp23
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | c2_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | c3_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp8
        | hskp20
        | ! [X85] :
            ( ndr1_0
           => ( c0_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) ) )
      & ( hskp8
        | hskp14
        | hskp2 )
      & ( hskp16
        | hskp15
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c3_1(X50)
              | c0_1(X50) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c3_1(X90)
              | c2_1(X90) ) )
        | hskp0
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c3_1(X91) ) ) )
      & ( hskp20
        | hskp6
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp4
        | hskp2
        | hskp25 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c0_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c3_1(X26)
              | ~ c1_1(X26) ) ) )
      & ( hskp27
        | ! [X84] :
            ( ndr1_0
           => ( c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp22 )
      & ( hskp9
        | hskp10
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) ) )
      & ( hskp18
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c0_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | c0_1(X53)
              | ~ c1_1(X53) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) )
        | hskp11 )
      & ( ( ~ c1_1(a1781)
          & c3_1(a1781)
          & ndr1_0
          & c2_1(a1781) )
        | ~ hskp17 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | c3_1(X102)
              | ~ c2_1(X102) ) )
        | hskp15 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c1_1(X106)
              | ~ c2_1(X106)
              | c3_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c3_1(X107)
              | ~ c2_1(X107) ) )
        | hskp18 )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c3_1(X17)
              | c1_1(X17) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c3_1(X19)
              | ~ c1_1(X19) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) )
        | hskp17
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c1_1(X73)
              | c0_1(X73) ) ) )
      & ( ~ hskp22
        | ( ~ c0_1(a1799)
          & ~ c2_1(a1799)
          & ndr1_0
          & c3_1(a1799) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1759)
          & ~ c3_1(a1759)
          & ~ c2_1(a1759) ) )
      & ( ~ hskp15
        | ( ~ c2_1(a1779)
          & c0_1(a1779)
          & ndr1_0
          & ~ c3_1(a1779) ) )
      & ( hskp8
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c3_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c3_1(X22)
              | c0_1(X22) ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a1771)
          & c1_1(a1771)
          & ~ c0_1(a1771) ) )
      & ( ( ~ c1_1(a1754)
          & ~ c0_1(a1754)
          & c2_1(a1754)
          & ndr1_0 )
        | ~ hskp0 )
      & ( ( ~ c1_1(a1767)
          & ~ c0_1(a1767)
          & ndr1_0
          & c3_1(a1767) )
        | ~ hskp10 )
      & ( hskp19
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | c3_1(X55) ) )
        | hskp6 )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | ~ c0_1(X47) ) )
        | hskp14
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c0_1(X46)
              | c2_1(X46) ) ) )
      & ( hskp28
        | ! [X117] :
            ( ndr1_0
           => ( c2_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | ~ c1_1(X118) ) ) )
      & ( hskp18
        | ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | c3_1(X113)
              | ~ c0_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f994,plain,
    ( ~ spl0_47
    | spl0_155 ),
    inference(avatar_split_clause,[],[f167,f991,f403]) ).

fof(f403,plain,
    ( spl0_47
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f167,plain,
    ( c2_1(a1788)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f989,plain,
    ( ~ spl0_37
    | spl0_2 ),
    inference(avatar_split_clause,[],[f180,f211,f359]) ).

fof(f359,plain,
    ( spl0_37
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f211,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f180,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f987,plain,
    ( ~ spl0_84
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f163,f984,f577]) ).

fof(f577,plain,
    ( spl0_84
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f163,plain,
    ( ~ c0_1(a1807)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f982,plain,
    ( spl0_153
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f101,f421,f979]) ).

fof(f421,plain,
    ( spl0_51
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f101,plain,
    ( ~ hskp26
    | c3_1(a1845) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f977,plain,
    ( ~ spl0_51
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f104,f974,f421]) ).

fof(f104,plain,
    ( ~ c2_1(a1845)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f971,plain,
    ( ~ spl0_10
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f97,f968,f245]) ).

fof(f245,plain,
    ( spl0_10
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f97,plain,
    ( ~ c2_1(a1759)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f960,plain,
    ( ~ spl0_53
    | spl0_149 ),
    inference(avatar_split_clause,[],[f199,f957,f431]) ).

fof(f431,plain,
    ( spl0_53
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f199,plain,
    ( c1_1(a1795)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( ~ spl0_2
    | spl0_34
    | spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f58,f267,f290,f346,f211]) ).

fof(f267,plain,
    ( spl0_15
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f58,plain,
    ! [X24,X25] :
      ( hskp27
      | ~ c3_1(X24)
      | c0_1(X24)
      | c2_1(X24)
      | ~ c0_1(X25)
      | c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_26
    | spl0_148 ),
    inference(avatar_split_clause,[],[f78,f951,f313]) ).

fof(f313,plain,
    ( spl0_26
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f78,plain,
    ( c1_1(a1823)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_2
    | spl0_15
    | spl0_31
    | spl0_33 ),
    inference(avatar_split_clause,[],[f65,f343,f335,f267,f211]) ).

fof(f335,plain,
    ( spl0_31
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f65,plain,
    ! [X105] :
      ( ~ c3_1(X105)
      | hskp22
      | hskp27
      | c0_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f948,plain,
    ( ~ spl0_7
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f130,f945,f234]) ).

fof(f234,plain,
    ( spl0_7
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f130,plain,
    ( ~ c2_1(a1782)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( spl0_37
    | spl0_12
    | spl0_62 ),
    inference(avatar_split_clause,[],[f204,f472,f254,f359]) ).

fof(f254,plain,
    ( spl0_12
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f472,plain,
    ( spl0_62
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f204,plain,
    ( hskp2
    | hskp8
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_2
    | spl0_84
    | spl0_70
    | spl0_76 ),
    inference(avatar_split_clause,[],[f29,f538,f511,f577,f211]) ).

fof(f29,plain,
    ! [X36,X37] :
      ( c3_1(X36)
      | c3_1(X37)
      | ~ c0_1(X37)
      | hskp23
      | ~ c1_1(X36)
      | c1_1(X37)
      | ~ ndr1_0
      | ~ c0_1(X36) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f941,plain,
    ( spl0_68
    | ~ spl0_2
    | spl0_30
    | spl0_72 ),
    inference(avatar_split_clause,[],[f45,f521,f331,f211,f500]) ).

fof(f500,plain,
    ( spl0_68
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f331,plain,
    ( spl0_30
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f45,plain,
    ! [X49] :
      ( ~ c2_1(X49)
      | hskp16
      | ~ ndr1_0
      | ~ c1_1(X49)
      | hskp24
      | c3_1(X49) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f939,plain,
    ( ~ spl0_59
    | spl0_146 ),
    inference(avatar_split_clause,[],[f83,f936,f458]) ).

fof(f458,plain,
    ( spl0_59
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f83,plain,
    ( c0_1(a1779)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( ~ spl0_49
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f91,f931,f412]) ).

fof(f412,plain,
    ( spl0_49
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f91,plain,
    ( ~ c0_1(a1754)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f929,plain,
    ( ~ spl0_2
    | spl0_13
    | spl0_18
    | spl0_9 ),
    inference(avatar_split_clause,[],[f67,f241,f280,f260,f211]) ).

fof(f280,plain,
    ( spl0_18
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f67,plain,
    ! [X73,X74] :
      ( ~ c2_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73)
      | hskp6
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c1_1(X74)
      | c0_1(X74) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_59
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f81,f924,f458]) ).

fof(f81,plain,
    ( ~ c3_1(a1779)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f920,plain,
    ( spl0_47
    | ~ spl0_2
    | spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f75,f263,f208,f211,f403]) ).

fof(f75,plain,
    ! [X91,X92] :
      ( ~ c2_1(X92)
      | c1_1(X92)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | hskp21
      | ~ c2_1(X91)
      | ~ c0_1(X92)
      | c0_1(X91) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( spl0_141
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f158,f367,f901]) ).

fof(f367,plain,
    ( spl0_39
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f158,plain,
    ( ~ hskp19
    | c3_1(a1783) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_53
    | spl0_140 ),
    inference(avatar_split_clause,[],[f198,f896,f431]) ).

fof(f198,plain,
    ( c0_1(a1795)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_68
    | spl0_139 ),
    inference(avatar_split_clause,[],[f107,f891,f500]) ).

fof(f107,plain,
    ( c0_1(a1809)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_30
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f169,f883,f331]) ).

fof(f169,plain,
    ( ~ c2_1(a1780)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_137
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f128,f436,f877]) ).

fof(f436,plain,
    ( spl0_54
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f128,plain,
    ( ~ hskp10
    | ~ c1_1(a1767) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( spl0_136
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f172,f331,f872]) ).

fof(f172,plain,
    ( ~ hskp16
    | c1_1(a1780) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( spl0_51
    | spl0_54
    | spl0_61 ),
    inference(avatar_split_clause,[],[f201,f467,f436,f421]) ).

fof(f467,plain,
    ( spl0_61
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f201,plain,
    ( hskp20
    | hskp10
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_134
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f157,f367,f861]) ).

fof(f157,plain,
    ( ~ hskp19
    | ~ c0_1(a1783) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( spl0_64
    | ~ spl0_2
    | spl0_32
    | spl0_97 ),
    inference(avatar_split_clause,[],[f34,f646,f339,f211,f481]) ).

fof(f481,plain,
    ( spl0_64
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f34,plain,
    ! [X118,X117] :
      ( ~ c3_1(X118)
      | c0_1(X118)
      | ~ c2_1(X117)
      | ~ c3_1(X117)
      | ~ c1_1(X118)
      | ~ ndr1_0
      | ~ c1_1(X117)
      | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_21
    | spl0_132 ),
    inference(avatar_split_clause,[],[f150,f850,f293]) ).

fof(f150,plain,
    ( c1_1(a1758)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_84
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f161,f839,f577]) ).

fof(f161,plain,
    ( ~ c1_1(a1807)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( spl0_42
    | spl0_97
    | ~ spl0_2
    | spl0_53 ),
    inference(avatar_split_clause,[],[f50,f431,f211,f646,f379]) ).

fof(f379,plain,
    ( spl0_42
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f50,plain,
    ! [X1] :
      ( hskp28
      | ~ ndr1_0
      | c0_1(X1)
      | hskp1
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_129
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f133,f225,f833]) ).

fof(f225,plain,
    ( spl0_5
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f133,plain,
    ( ~ hskp5
    | ~ c2_1(a1760) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( spl0_31
    | spl0_75
    | spl0_72
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f40,f211,f521,f535,f335]) ).

fof(f40,plain,
    ! [X63,X64] :
      ( ~ ndr1_0
      | c3_1(X64)
      | c3_1(X63)
      | hskp22
      | c1_1(X63)
      | ~ c2_1(X63)
      | ~ c1_1(X64)
      | ~ c2_1(X64) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f829,plain,
    ( ~ spl0_128
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f188,f379,f826]) ).

fof(f188,plain,
    ( ~ hskp1
    | ~ c2_1(a1755) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( spl0_3
    | spl0_20
    | spl0_40
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f63,f211,f371,f290,f215]) ).

fof(f215,plain,
    ( spl0_3
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f63,plain,
    ! [X90,X89] :
      ( ~ ndr1_0
      | ~ c1_1(X89)
      | c0_1(X90)
      | c2_1(X90)
      | hskp13
      | ~ c3_1(X90)
      | c0_1(X89)
      | c3_1(X89) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( spl0_127
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f170,f331,f818]) ).

fof(f170,plain,
    ( ~ hskp16
    | c3_1(a1780) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( spl0_126
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f168,f403,f811]) ).

fof(f168,plain,
    ( ~ hskp21
    | c0_1(a1788) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_15
    | spl0_125 ),
    inference(avatar_split_clause,[],[f190,f806,f267]) ).

fof(f190,plain,
    ( c0_1(a1756)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_124
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f138,f304,f800]) ).

fof(f304,plain,
    ( spl0_24
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f138,plain,
    ( ~ hskp12
    | ~ c0_1(a1770) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f796,plain,
    ( spl0_123
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f147,f326,f793]) ).

fof(f326,plain,
    ( spl0_29
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f147,plain,
    ( ~ hskp29
    | c2_1(a1805) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_3
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f141,f787,f215]) ).

fof(f141,plain,
    ( ~ c0_1(a1771)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f785,plain,
    ( spl0_121
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f191,f267,f782]) ).

fof(f191,plain,
    ( ~ hskp27
    | c1_1(a1756) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f780,plain,
    ( spl0_2
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f94,f254,f211]) ).

fof(f94,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( spl0_120
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f85,f481,f776]) ).

fof(f85,plain,
    ( ~ hskp17
    | c2_1(a1781) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f774,plain,
    ( ~ spl0_54
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f127,f771,f436]) ).

fof(f127,plain,
    ( ~ c0_1(a1767)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f768,plain,
    ( ~ spl0_118
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f131,f234,f765]) ).

fof(f131,plain,
    ( ~ hskp18
    | ~ c1_1(a1782) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_62
    | spl0_2 ),
    inference(avatar_split_clause,[],[f173,f211,f472]) ).

fof(f173,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_2
    | spl0_56
    | spl0_32
    | spl0_107 ),
    inference(avatar_split_clause,[],[f22,f697,f339,f444,f211]) ).

fof(f22,plain,
    ! [X104,X102,X103] :
      ( c3_1(X103)
      | c1_1(X103)
      | ~ c2_1(X104)
      | c3_1(X102)
      | ~ ndr1_0
      | c2_1(X102)
      | ~ c3_1(X104)
      | ~ c1_1(X104)
      | c0_1(X102)
      | c2_1(X103) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( spl0_32
    | ~ spl0_2
    | spl0_25
    | spl0_76 ),
    inference(avatar_split_clause,[],[f60,f538,f309,f211,f339]) ).

fof(f60,plain,
    ! [X18,X19,X20] :
      ( c3_1(X18)
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c2_1(X19)
      | ~ c1_1(X19) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_2
    | spl0_12
    | spl0_33
    | spl0_61 ),
    inference(avatar_split_clause,[],[f11,f467,f343,f254,f211]) ).

fof(f11,plain,
    ! [X95] :
      ( hskp20
      | ~ c2_1(X95)
      | c0_1(X95)
      | hskp8
      | ~ c3_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( spl0_7
    | ~ spl0_2
    | spl0_40
    | spl0_110 ),
    inference(avatar_split_clause,[],[f17,f711,f371,f211,f234]) ).

fof(f17,plain,
    ! [X108,X107] :
      ( c2_1(X107)
      | c3_1(X108)
      | c0_1(X108)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | hskp18
      | ~ c1_1(X108) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_116
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f139,f304,f751]) ).

fof(f139,plain,
    ( ~ hskp12
    | ~ c3_1(a1770) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_20
    | spl0_107 ),
    inference(avatar_split_clause,[],[f76,f697,f290,f215,f211]) ).

fof(f76,plain,
    ! [X31,X32] :
      ( c1_1(X32)
      | ~ c3_1(X31)
      | hskp13
      | c2_1(X32)
      | c0_1(X31)
      | c3_1(X32)
      | ~ ndr1_0
      | c2_1(X31) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f743,plain,
    ( spl0_39
    | spl0_3
    | ~ spl0_2
    | spl0_110 ),
    inference(avatar_split_clause,[],[f54,f711,f211,f215,f367]) ).

fof(f54,plain,
    ! [X69] :
      ( ~ c0_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | hskp13
      | ~ c1_1(X69)
      | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( spl0_31
    | spl0_54
    | spl0_59 ),
    inference(avatar_split_clause,[],[f205,f458,f436,f335]) ).

fof(f205,plain,
    ( hskp15
    | hskp10
    | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f734,plain,
    ( spl0_75
    | spl0_7
    | ~ spl0_2
    | spl0_32 ),
    inference(avatar_split_clause,[],[f55,f339,f211,f234,f535]) ).

fof(f55,plain,
    ! [X113,X112] :
      ( ~ c2_1(X113)
      | ~ ndr1_0
      | ~ c3_1(X113)
      | hskp18
      | ~ c1_1(X113)
      | c1_1(X112)
      | ~ c2_1(X112)
      | c3_1(X112) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_112
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f111,f440,f724]) ).

fof(f440,plain,
    ( spl0_55
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f111,plain,
    ( ~ hskp9
    | ~ c1_1(a1766) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_2
    | spl0_14
    | spl0_25
    | spl0_76 ),
    inference(avatar_split_clause,[],[f70,f538,f309,f263,f211]) ).

fof(f70,plain,
    ! [X2,X3,X4] :
      ( c3_1(X2)
      | ~ c0_1(X4)
      | ~ c0_1(X3)
      | ~ c1_1(X4)
      | ~ c2_1(X4)
      | ~ c2_1(X3)
      | ~ c1_1(X2)
      | ~ ndr1_0
      | c1_1(X3)
      | ~ c0_1(X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( spl0_14
    | spl0_97
    | spl0_110
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f14,f211,f711,f646,f263]) ).

fof(f14,plain,
    ! [X46,X44,X45] :
      ( ~ ndr1_0
      | c2_1(X46)
      | ~ c1_1(X46)
      | ~ c1_1(X44)
      | ~ c0_1(X46)
      | ~ c2_1(X45)
      | c0_1(X44)
      | ~ c0_1(X45)
      | c1_1(X45)
      | ~ c3_1(X44) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( spl0_109
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f160,f367,f706]) ).

fof(f160,plain,
    ( ~ hskp19
    | c1_1(a1783) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( spl0_108
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f96,f254,f701]) ).

fof(f96,plain,
    ( ~ hskp8
    | c0_1(a1765) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f695,plain,
    ( ~ spl0_106
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f194,f280,f692]) ).

fof(f194,plain,
    ( ~ hskp6
    | ~ c0_1(a1762) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_59
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f84,f687,f458]) ).

fof(f84,plain,
    ( ~ c2_1(a1779)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( spl0_104
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f193,f280,f682]) ).

fof(f193,plain,
    ( ~ hskp6
    | c2_1(a1762) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f679,plain,
    ( ~ spl0_103
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f155,f335,f676]) ).

fof(f155,plain,
    ( ~ hskp22
    | ~ c2_1(a1799) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f674,plain,
    ( ~ spl0_10
    | spl0_102 ),
    inference(avatar_split_clause,[],[f99,f671,f245]) ).

fof(f99,plain,
    ( c1_1(a1759)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( spl0_101
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f185,f379,f666]) ).

fof(f185,plain,
    ( ~ hskp1
    | c1_1(a1755) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_68
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f105,f661,f500]) ).

fof(f105,plain,
    ( ~ c3_1(a1809)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_44
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f118,f655,f389]) ).

fof(f389,plain,
    ( spl0_44
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f118,plain,
    ( ~ c1_1(a1763)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl0_44
    | spl0_98 ),
    inference(avatar_split_clause,[],[f120,f650,f389]) ).

fof(f120,plain,
    ( c3_1(a1763)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f648,plain,
    ( spl0_21
    | ~ spl0_2
    | spl0_97
    | spl0_76 ),
    inference(avatar_split_clause,[],[f28,f538,f646,f211,f293]) ).

fof(f28,plain,
    ! [X58,X57] :
      ( ~ c1_1(X58)
      | ~ c0_1(X58)
      | ~ c1_1(X57)
      | ~ ndr1_0
      | c0_1(X57)
      | hskp3
      | c3_1(X58)
      | ~ c3_1(X57) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_55
    | spl0_95 ),
    inference(avatar_split_clause,[],[f110,f636,f440]) ).

fof(f110,plain,
    ( c0_1(a1766)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_61
    | spl0_94 ),
    inference(avatar_split_clause,[],[f121,f631,f467]) ).

fof(f121,plain,
    ( c1_1(a1786)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f623,plain,
    ( spl0_92
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f140,f304,f620]) ).

fof(f140,plain,
    ( ~ hskp12
    | c1_1(a1770) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_91
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f88,f481,f615]) ).

fof(f88,plain,
    ( ~ hskp17
    | ~ c1_1(a1781) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_54
    | spl0_90 ),
    inference(avatar_split_clause,[],[f125,f610,f436]) ).

fof(f125,plain,
    ( c3_1(a1767)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_12
    | spl0_89 ),
    inference(avatar_split_clause,[],[f95,f603,f254]) ).

fof(f95,plain,
    ( c2_1(a1765)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( spl0_12
    | spl0_32
    | spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f56,f211,f260,f339,f254]) ).

fof(f56,plain,
    ! [X120,X119] :
      ( ~ ndr1_0
      | ~ c3_1(X120)
      | c1_1(X120)
      | c0_1(X120)
      | ~ c3_1(X119)
      | ~ c2_1(X119)
      | ~ c1_1(X119)
      | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_2
    | spl0_34
    | spl0_56
    | spl0_9 ),
    inference(avatar_split_clause,[],[f66,f241,f444,f346,f211]) ).

fof(f66,plain,
    ! [X40,X38,X39] :
      ( ~ c3_1(X40)
      | c2_1(X39)
      | c2_1(X38)
      | ~ ndr1_0
      | c1_1(X38)
      | c0_1(X39)
      | c3_1(X39)
      | ~ c0_1(X38)
      | ~ c2_1(X40)
      | ~ c0_1(X40) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_7
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f132,f596,f234]) ).

fof(f132,plain,
    ( ~ c3_1(a1782)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f594,plain,
    ( ~ spl0_31
    | spl0_87 ),
    inference(avatar_split_clause,[],[f153,f591,f335]) ).

fof(f153,plain,
    ( c3_1(a1799)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( spl0_49
    | ~ spl0_2
    | spl0_67
    | spl0_22 ),
    inference(avatar_split_clause,[],[f41,f297,f496,f211,f412]) ).

fof(f41,plain,
    ! [X98,X97] :
      ( ~ c0_1(X98)
      | ~ c3_1(X97)
      | ~ c1_1(X98)
      | ~ ndr1_0
      | hskp0
      | c2_1(X97)
      | ~ c3_1(X98)
      | c1_1(X97) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_86
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f164,f577,f585]) ).

fof(f164,plain,
    ( ~ hskp23
    | ~ c3_1(a1807) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_49
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f92,f572,f412]) ).

fof(f92,plain,
    ( ~ c1_1(a1754)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_2
    | spl0_23
    | spl0_44
    | spl0_13 ),
    inference(avatar_split_clause,[],[f44,f260,f389,f301,f211]) ).

fof(f44,plain,
    ! [X65,X66] :
      ( c0_1(X65)
      | hskp7
      | c2_1(X66)
      | ~ c1_1(X66)
      | ~ c3_1(X65)
      | c0_1(X66)
      | c1_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_31
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f156,f566,f335]) ).

fof(f156,plain,
    ( ~ c0_1(a1799)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f564,plain,
    ( spl0_81
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f200,f431,f561]) ).

fof(f200,plain,
    ( ~ hskp28
    | c2_1(a1795) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f559,plain,
    ( spl0_67
    | spl0_80
    | spl0_33
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f12,f211,f343,f557,f496]) ).

fof(f12,plain,
    ! [X8,X9,X7] :
      ( ~ ndr1_0
      | ~ c2_1(X7)
      | c1_1(X9)
      | ~ c3_1(X7)
      | c0_1(X7)
      | ~ c2_1(X9)
      | ~ c3_1(X8)
      | ~ c3_1(X9)
      | c1_1(X8)
      | c2_1(X8) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( spl0_78
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f148,f326,f547]) ).

fof(f148,plain,
    ( ~ hskp29
    | c0_1(a1805) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( ~ spl0_74
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f123,f467,f530]) ).

fof(f123,plain,
    ( ~ hskp20
    | ~ c3_1(a1786) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_49
    | spl0_73 ),
    inference(avatar_split_clause,[],[f90,f525,f412]) ).

fof(f90,plain,
    ( c2_1(a1754)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( ~ spl0_2
    | spl0_29
    | spl0_72
    | spl0_26 ),
    inference(avatar_split_clause,[],[f15,f313,f521,f326,f211]) ).

fof(f15,plain,
    ! [X50] :
      ( hskp30
      | ~ c2_1(X50)
      | hskp29
      | ~ ndr1_0
      | c3_1(X50)
      | ~ c1_1(X50) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_13
    | spl0_9
    | ~ spl0_2
    | spl0_32 ),
    inference(avatar_split_clause,[],[f24,f339,f211,f241,f260]) ).

fof(f24,plain,
    ! [X116,X114,X115] :
      ( ~ c2_1(X116)
      | ~ ndr1_0
      | ~ c0_1(X114)
      | c1_1(X115)
      | ~ c1_1(X116)
      | ~ c3_1(X116)
      | ~ c3_1(X115)
      | ~ c2_1(X114)
      | c0_1(X115)
      | ~ c3_1(X114) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_5
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f135,f515,f225]) ).

fof(f135,plain,
    ( ~ c3_1(a1760)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( ~ spl0_2
    | spl0_70
    | spl0_54
    | spl0_20 ),
    inference(avatar_split_clause,[],[f7,f290,f436,f511,f211]) ).

fof(f7,plain,
    ! [X6,X5] :
      ( ~ c3_1(X5)
      | hskp10
      | c0_1(X5)
      | c3_1(X6)
      | c2_1(X5)
      | ~ ndr1_0
      | ~ c0_1(X6)
      | c1_1(X6) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f508,plain,
    ( ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f106,f505,f500]) ).

fof(f106,plain,
    ( ~ c1_1(a1809)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( spl0_67
    | spl0_29
    | spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f33,f211,f238,f326,f496]) ).

fof(f33,plain,
    ! [X26,X27] :
      ( ~ ndr1_0
      | ~ c0_1(X27)
      | hskp29
      | c2_1(X26)
      | c2_1(X27)
      | ~ c3_1(X26)
      | c1_1(X26)
      | c3_1(X27) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_21
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f149,f486,f293]) ).

fof(f149,plain,
    ( ~ c3_1(a1758)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f87,f481,f477]) ).

fof(f87,plain,
    ( ~ hskp17
    | c3_1(a1781) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f122,f467,f463]) ).

fof(f122,plain,
    ( ~ hskp20
    | c0_1(a1786) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_5
    | ~ spl0_2
    | spl0_58
    | spl0_25 ),
    inference(avatar_split_clause,[],[f74,f309,f453,f211,f225]) ).

fof(f74,plain,
    ! [X86,X85] :
      ( ~ c1_1(X85)
      | ~ c3_1(X86)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | ~ c2_1(X85)
      | ~ c0_1(X86)
      | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( ~ spl0_57
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f112,f440,f448]) ).

fof(f112,plain,
    ( ~ hskp9
    | ~ c2_1(a1766) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_2
    | spl0_56 ),
    inference(avatar_split_clause,[],[f57,f444,f211,f440,f436]) ).

fof(f57,plain,
    ! [X106] :
      ( c3_1(X106)
      | c0_1(X106)
      | c2_1(X106)
      | ~ ndr1_0
      | hskp9
      | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_10
    | spl0_42
    | spl0_53 ),
    inference(avatar_split_clause,[],[f202,f431,f379,f245]) ).

fof(f202,plain,
    ( hskp28
    | hskp1
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f429,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_30
    | spl0_33 ),
    inference(avatar_split_clause,[],[f37,f343,f331,f241,f211]) ).

fof(f37,plain,
    ! [X88,X87] :
      ( ~ c3_1(X87)
      | hskp16
      | c0_1(X87)
      | ~ c0_1(X88)
      | ~ c2_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | ~ c3_1(X88) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( ~ spl0_51
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f102,f425,f421]) ).

fof(f102,plain,
    ( ~ c1_1(a1845)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_29
    | spl0_25 ),
    inference(avatar_split_clause,[],[f27,f309,f326,f211,f245]) ).

fof(f27,plain,
    ! [X43] :
      ( ~ c0_1(X43)
      | hskp29
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f410,plain,
    ( ~ spl0_47
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f165,f407,f403]) ).

fof(f165,plain,
    ( ~ c3_1(a1788)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( ~ spl0_10
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f98,f398,f245]) ).

fof(f98,plain,
    ( ~ c3_1(a1759)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f396,plain,
    ( ~ spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f119,f393,f389]) ).

fof(f119,plain,
    ( c0_1(a1763)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f387,plain,
    ( spl0_43
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f77,f313,f384]) ).

fof(f77,plain,
    ( ~ hskp30
    | c2_1(a1823) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f382,plain,
    ( ~ spl0_41
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f186,f379,f375]) ).

fof(f186,plain,
    ( ~ hskp1
    | ~ c0_1(a1755) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_2
    | spl0_39
    | spl0_40
    | spl0_18 ),
    inference(avatar_split_clause,[],[f36,f280,f371,f367,f211]) ).

fof(f36,plain,
    ! [X121] :
      ( hskp6
      | c3_1(X121)
      | hskp19
      | ~ c1_1(X121)
      | ~ ndr1_0
      | c0_1(X121) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f348,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_33
    | spl0_34 ),
    inference(avatar_split_clause,[],[f49,f346,f343,f241,f211]) ).

fof(f49,plain,
    ! [X56,X54,X55] :
      ( c1_1(X54)
      | ~ c2_1(X55)
      | ~ c0_1(X56)
      | ~ c3_1(X55)
      | c0_1(X55)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | c2_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X54) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( spl0_30
    | spl0_31
    | spl0_32
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f19,f211,f339,f335,f331]) ).

fof(f19,plain,
    ! [X23] :
      ( ~ ndr1_0
      | ~ c2_1(X23)
      | ~ c1_1(X23)
      | hskp22
      | hskp16
      | ~ c3_1(X23) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f329,plain,
    ( spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f145,f326,f322]) ).

fof(f145,plain,
    ( ~ hskp29
    | c3_1(a1805) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f320,plain,
    ( ~ spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f79,f317,f313]) ).

fof(f79,plain,
    ( c3_1(a1823)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f311,plain,
    ( spl0_15
    | ~ spl0_2
    | spl0_1
    | spl0_25 ),
    inference(avatar_split_clause,[],[f13,f309,f208,f211,f267]) ).

fof(f13,plain,
    ! [X14,X13] :
      ( ~ c0_1(X13)
      | ~ c2_1(X14)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | hskp27
      | c0_1(X14)
      | ~ c1_1(X13)
      | ~ c2_1(X13) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f307,plain,
    ( ~ spl0_2
    | spl0_15
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f38,f304,f301,f267,f211]) ).

fof(f38,plain,
    ! [X81] :
      ( hskp12
      | c2_1(X81)
      | hskp27
      | ~ c1_1(X81)
      | ~ ndr1_0
      | c0_1(X81) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f299,plain,
    ( ~ spl0_2
    | spl0_20
    | spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f61,f297,f293,f290,f211]) ).

fof(f61,plain,
    ! [X80,X79] :
      ( ~ c1_1(X79)
      | hskp3
      | c2_1(X80)
      | ~ c3_1(X79)
      | c0_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | ~ c0_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f288,plain,
    ( spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f143,f215,f285]) ).

fof(f143,plain,
    ( ~ hskp13
    | c2_1(a1771) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f283,plain,
    ( spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f195,f280,f276]) ).

fof(f195,plain,
    ( ~ hskp6
    | c3_1(a1762) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f274,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f189,f271,f267]) ).

fof(f189,plain,
    ( c3_1(a1756)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f265,plain,
    ( ~ spl0_2
    | spl0_1
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f9,f263,f260,f208,f211]) ).

fof(f9,plain,
    ! [X51,X52,X53] :
      ( c1_1(X51)
      | c0_1(X52)
      | ~ c2_1(X51)
      | c0_1(X53)
      | ~ c0_1(X51)
      | c1_1(X52)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X53)
      | ~ c3_1(X52) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f257,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f93,f254,f250]) ).

fof(f93,plain,
    ( ~ hskp8
    | ~ c1_1(a1765) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f243,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f23,f241,f211,f238,f234]) ).

fof(f23,plain,
    ! [X126,X127] :
      ( ~ c0_1(X127)
      | ~ c2_1(X127)
      | ~ ndr1_0
      | c3_1(X126)
      | ~ c0_1(X126)
      | ~ c3_1(X127)
      | c2_1(X126)
      | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f232,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f136,f229,f225]) ).

fof(f136,plain,
    ( ~ c0_1(a1760)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f223,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f142,f220,f215]) ).

fof(f142,plain,
    ( c1_1(a1771)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f218,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f42,f215,f211,f208]) ).

fof(f42,plain,
    ! [X0] :
      ( hskp13
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN482+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:56:11 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.56  % (29749)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56  % (29754)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56  % (29754)Instruction limit reached!
% 0.21/0.56  % (29754)------------------------------
% 0.21/0.56  % (29754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (29754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (29754)Termination reason: Unknown
% 0.21/0.56  % (29754)Termination phase: Preprocessing 1
% 0.21/0.56  
% 0.21/0.56  % (29754)Memory used [KB]: 1151
% 0.21/0.56  % (29754)Time elapsed: 0.003 s
% 0.21/0.56  % (29754)Instructions burned: 2 (million)
% 0.21/0.56  % (29754)------------------------------
% 0.21/0.56  % (29754)------------------------------
% 1.52/0.57  % (29746)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.52/0.58  % (29762)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.80/0.60  % (29751)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)
% 1.80/0.60  % (29765)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.60  % (29748)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)
% 1.80/0.60  Detected maximum model sizes of [31]
% 1.80/0.60  TRYING [1]
% 1.80/0.61  TRYING [2]
% 1.80/0.61  % (29753)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.80/0.61  TRYING [3]
% 1.80/0.61  % (29773)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)
% 1.80/0.61  % (29752)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)
% 1.80/0.62  % (29755)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)
% 1.80/0.62  % (29753)Instruction limit reached!
% 1.80/0.62  % (29753)------------------------------
% 1.80/0.62  % (29753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62  % (29775)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)
% 1.80/0.62  % (29769)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.80/0.62  % (29753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62  % (29753)Termination reason: Unknown
% 1.80/0.62  % (29753)Termination phase: Saturation
% 1.80/0.62  
% 1.80/0.62  % (29753)Memory used [KB]: 6012
% 1.80/0.62  % (29753)Time elapsed: 0.008 s
% 1.80/0.62  % (29753)Instructions burned: 8 (million)
% 1.80/0.62  % (29753)------------------------------
% 1.80/0.62  % (29753)------------------------------
% 1.80/0.62  % (29764)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.62  % (29750)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.62  % (29747)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)
% 1.80/0.63  % (29757)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)
% 1.80/0.63  % (29756)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.80/0.63  % (29767)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.80/0.64  % (29759)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.80/0.64  % (29770)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.80/0.64  % (29771)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.80/0.64  % (29761)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.80/0.64  Detected maximum model sizes of [31]
% 1.80/0.64  TRYING [1]
% 1.80/0.64  % (29766)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)
% 1.80/0.64  TRYING [2]
% 1.80/0.64  TRYING [4]
% 1.80/0.64  TRYING [3]
% 1.80/0.64  % (29758)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.80/0.65  % (29760)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)
% 1.80/0.65  % (29774)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.80/0.65  % (29768)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)
% 2.29/0.66  % (29749)First to succeed.
% 2.36/0.67  TRYING [4]
% 2.36/0.67  % (29772)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)
% 2.36/0.69  % (29763)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.36/0.70  TRYING [5]
% 2.64/0.71  % (29748)Instruction limit reached!
% 2.64/0.71  % (29748)------------------------------
% 2.64/0.71  % (29748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.71  % (29748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.71  % (29748)Termination reason: Unknown
% 2.64/0.71  % (29748)Termination phase: Saturation
% 2.64/0.71  
% 2.64/0.71  % (29748)Memory used [KB]: 1535
% 2.64/0.71  % (29748)Time elapsed: 0.259 s
% 2.64/0.71  % (29748)Instructions burned: 38 (million)
% 2.64/0.71  % (29748)------------------------------
% 2.64/0.71  % (29748)------------------------------
% 2.64/0.71  % (29749)Refutation found. Thanks to Tanya!
% 2.64/0.71  % SZS status Theorem for theBenchmark
% 2.64/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.71  % (29749)------------------------------
% 2.64/0.71  % (29749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.71  % (29749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.71  % (29749)Termination reason: Refutation
% 2.64/0.71  
% 2.64/0.71  % (29749)Memory used [KB]: 7419
% 2.64/0.71  % (29749)Time elapsed: 0.244 s
% 2.64/0.71  % (29749)Instructions burned: 44 (million)
% 2.64/0.71  % (29749)------------------------------
% 2.64/0.71  % (29749)------------------------------
% 2.64/0.71  % (29745)Success in time 0.353 s
%------------------------------------------------------------------------------