TSTP Solution File: SYN466+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN466+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:40:34 EDT 2023

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  142
% Syntax   : Number of formulae    :  612 (   1 unt;   0 def)
%            Number of atoms       : 6126 (   0 equ)
%            Maximal formula atoms :  673 (  10 avg)
%            Number of connectives : 8229 (2715   ~;3787   |;1170   &)
%                                         ( 141 <=>; 416  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  179 ( 178 usr; 175 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  811 (; 811   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2122,plain,
    $false,
    inference(avatar_sat_refutation,[],[f250,f260,f274,f285,f292,f306,f310,f321,f332,f340,f344,f363,f364,f365,f369,f376,f391,f392,f400,f401,f408,f409,f414,f423,f427,f440,f449,f450,f454,f462,f466,f470,f471,f473,f474,f478,f482,f483,f484,f485,f494,f495,f496,f501,f505,f509,f516,f520,f524,f530,f534,f538,f543,f547,f551,f570,f574,f578,f584,f588,f592,f598,f602,f606,f625,f629,f633,f664,f668,f672,f677,f681,f685,f690,f694,f698,f717,f721,f725,f726,f744,f748,f752,f753,f758,f762,f766,f771,f775,f779,f785,f789,f793,f798,f802,f806,f812,f816,f820,f826,f830,f834,f840,f844,f848,f853,f857,f861,f862,f867,f871,f875,f907,f911,f915,f920,f924,f928,f953,f961,f963,f969,f975,f985,f995,f1014,f1018,f1024,f1041,f1051,f1056,f1066,f1068,f1098,f1111,f1112,f1120,f1127,f1128,f1176,f1179,f1214,f1232,f1252,f1270,f1339,f1349,f1365,f1375,f1376,f1392,f1400,f1439,f1470,f1472,f1506,f1509,f1541,f1587,f1589,f1596,f1600,f1613,f1642,f1648,f1651,f1860,f1861,f1877,f1882,f1887,f1926,f1931,f1936,f1979,f2005,f2012,f2037,f2084,f2089,f2102,f2112,f2119]) ).

fof(f2119,plain,
    ( ~ spl0_142
    | spl0_176
    | ~ spl0_21
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1407,f842,f308,f1257,f846]) ).

fof(f846,plain,
    ( spl0_142
  <=> c1_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1257,plain,
    ( spl0_176
  <=> c3_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f308,plain,
    ( spl0_21
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f842,plain,
    ( spl0_141
  <=> c2_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1407,plain,
    ( c3_1(a107)
    | ~ c1_1(a107)
    | ~ spl0_21
    | ~ spl0_141 ),
    inference(resolution,[],[f309,f843]) ).

fof(f843,plain,
    ( c2_1(a107)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f309,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f2112,plain,
    ( ~ spl0_138
    | ~ spl0_139
    | ~ spl0_18
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1626,f1152,f297,f832,f828]) ).

fof(f828,plain,
    ( spl0_138
  <=> c3_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f832,plain,
    ( spl0_139
  <=> c1_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f297,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1152,plain,
    ( spl0_175
  <=> c2_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1626,plain,
    ( ~ c1_1(a108)
    | ~ c3_1(a108)
    | ~ spl0_18
    | ~ spl0_175 ),
    inference(resolution,[],[f298,f1153]) ).

fof(f1153,plain,
    ( c2_1(a108)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f298,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f2102,plain,
    ( spl0_86
    | spl0_183
    | ~ spl0_62
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1297,f604,f480,f1347,f596]) ).

fof(f596,plain,
    ( spl0_86
  <=> c3_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1347,plain,
    ( spl0_183
  <=> c0_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f480,plain,
    ( spl0_62
  <=> ! [X88] :
        ( c3_1(X88)
        | c0_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f604,plain,
    ( spl0_88
  <=> c1_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1297,plain,
    ( c0_1(a163)
    | c3_1(a163)
    | ~ spl0_62
    | spl0_88 ),
    inference(resolution,[],[f481,f605]) ).

fof(f605,plain,
    ( ~ c1_1(a163)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f481,plain,
    ( ! [X88] :
        ( c1_1(X88)
        | c0_1(X88)
        | c3_1(X88) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f2089,plain,
    ( spl0_134
    | spl0_135
    | ~ spl0_54
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1990,f818,f442,f814,f810]) ).

fof(f810,plain,
    ( spl0_134
  <=> c3_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f814,plain,
    ( spl0_135
  <=> c0_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f442,plain,
    ( spl0_54
  <=> ! [X57] :
        ( ~ c1_1(X57)
        | c0_1(X57)
        | c3_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f818,plain,
    ( spl0_136
  <=> c1_1(a109) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1990,plain,
    ( c0_1(a109)
    | c3_1(a109)
    | ~ spl0_54
    | ~ spl0_136 ),
    inference(resolution,[],[f443,f819]) ).

fof(f819,plain,
    ( c1_1(a109)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f443,plain,
    ( ! [X57] :
        ( ~ c1_1(X57)
        | c0_1(X57)
        | c3_1(X57) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f2084,plain,
    ( spl0_155
    | spl0_156
    | ~ spl0_54
    | ~ spl0_60
    | ~ spl0_62
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2080,f909,f480,f468,f442,f909,f905]) ).

fof(f905,plain,
    ( spl0_155
  <=> c1_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f468,plain,
    ( spl0_60
  <=> ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c1_1(X75) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f909,plain,
    ( spl0_156
  <=> c0_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2080,plain,
    ( c0_1(a102)
    | c1_1(a102)
    | ~ spl0_54
    | ~ spl0_60
    | ~ spl0_62
    | spl0_156 ),
    inference(resolution,[],[f1749,f469]) ).

fof(f469,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | c0_1(X75)
        | c1_1(X75) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1749,plain,
    ( c3_1(a102)
    | ~ spl0_54
    | ~ spl0_62
    | spl0_156 ),
    inference(resolution,[],[f1299,f910]) ).

fof(f910,plain,
    ( ~ c0_1(a102)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f1299,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f1284]) ).

fof(f1284,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_54
    | ~ spl0_62 ),
    inference(resolution,[],[f481,f443]) ).

fof(f2037,plain,
    ( ~ spl0_120
    | spl0_119
    | ~ spl0_42
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2033,f973,f389,f742,f746]) ).

fof(f746,plain,
    ( spl0_120
  <=> c2_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f742,plain,
    ( spl0_119
  <=> c3_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f389,plain,
    ( spl0_42
  <=> ! [X25] :
        ( ~ c2_1(X25)
        | c3_1(X25)
        | ~ c0_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f973,plain,
    ( spl0_164
  <=> c0_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2033,plain,
    ( c3_1(a114)
    | ~ c2_1(a114)
    | ~ spl0_42
    | ~ spl0_164 ),
    inference(resolution,[],[f1072,f390]) ).

fof(f390,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | ~ c2_1(X25) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f1072,plain,
    ( c0_1(a114)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f2012,plain,
    ( ~ spl0_148
    | spl0_146
    | ~ spl0_39
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2008,f1021,f378,f865,f873]) ).

fof(f873,plain,
    ( spl0_148
  <=> c2_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f865,plain,
    ( spl0_146
  <=> c1_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f378,plain,
    ( spl0_39
  <=> ! [X22] :
        ( ~ c2_1(X22)
        | c1_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1021,plain,
    ( spl0_168
  <=> c0_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f2008,plain,
    ( c1_1(a105)
    | ~ c2_1(a105)
    | ~ spl0_39
    | ~ spl0_168 ),
    inference(resolution,[],[f1058,f379]) ).

fof(f379,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1058,plain,
    ( c0_1(a105)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f2005,plain,
    ( spl0_125
    | spl0_171
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1991,f777,f442,f1063,f769]) ).

fof(f769,plain,
    ( spl0_125
  <=> c3_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1063,plain,
    ( spl0_171
  <=> c0_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f777,plain,
    ( spl0_127
  <=> c1_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1991,plain,
    ( c0_1(a112)
    | c3_1(a112)
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(resolution,[],[f443,f778]) ).

fof(f778,plain,
    ( c1_1(a112)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f1979,plain,
    ( spl0_131
    | spl0_178
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1969,f804,f438,f1320,f796]) ).

fof(f796,plain,
    ( spl0_131
  <=> c3_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1320,plain,
    ( spl0_178
  <=> c0_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f438,plain,
    ( spl0_53
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | c3_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f804,plain,
    ( spl0_133
  <=> c2_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1969,plain,
    ( c0_1(a110)
    | c3_1(a110)
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(resolution,[],[f439,f805]) ).

fof(f805,plain,
    ( c2_1(a110)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f439,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | c3_1(X56) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f1936,plain,
    ( spl0_176
    | spl0_140
    | ~ spl0_54
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1261,f846,f442,f838,f1257]) ).

fof(f838,plain,
    ( spl0_140
  <=> c0_1(a107) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1261,plain,
    ( c0_1(a107)
    | c3_1(a107)
    | ~ spl0_54
    | ~ spl0_142 ),
    inference(resolution,[],[f847,f443]) ).

fof(f847,plain,
    ( c1_1(a107)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f1931,plain,
    ( ~ spl0_176
    | spl0_140
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1915,f842,f425,f838,f1257]) ).

fof(f425,plain,
    ( spl0_50
  <=> ! [X50] :
        ( ~ c3_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1915,plain,
    ( c0_1(a107)
    | ~ c3_1(a107)
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(resolution,[],[f426,f843]) ).

fof(f426,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | c0_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1926,plain,
    ( ~ spl0_159
    | spl0_158
    | ~ spl0_50
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1911,f926,f425,f918,f922]) ).

fof(f922,plain,
    ( spl0_159
  <=> c3_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f918,plain,
    ( spl0_158
  <=> c0_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f926,plain,
    ( spl0_160
  <=> c2_1(a101) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1911,plain,
    ( c0_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_50
    | ~ spl0_160 ),
    inference(resolution,[],[f426,f927]) ).

fof(f927,plain,
    ( c2_1(a101)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f1887,plain,
    ( spl0_119
    | spl0_164
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1220,f750,f442,f973,f742]) ).

fof(f750,plain,
    ( spl0_121
  <=> c1_1(a114) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1220,plain,
    ( c0_1(a114)
    | c3_1(a114)
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(resolution,[],[f443,f751]) ).

fof(f751,plain,
    ( c1_1(a114)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f1882,plain,
    ( spl0_174
    | spl0_84
    | ~ spl0_54
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1222,f590,f442,f586,f1135]) ).

fof(f1135,plain,
    ( spl0_174
  <=> c3_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f586,plain,
    ( spl0_84
  <=> c0_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f590,plain,
    ( spl0_85
  <=> c1_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1222,plain,
    ( c0_1(a167)
    | c3_1(a167)
    | ~ spl0_54
    | ~ spl0_85 ),
    inference(resolution,[],[f443,f591]) ).

fof(f591,plain,
    ( c1_1(a167)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f1877,plain,
    ( spl0_87
    | spl0_86
    | ~ spl0_49
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1201,f604,f421,f596,f600]) ).

fof(f600,plain,
    ( spl0_87
  <=> c2_1(a163) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f421,plain,
    ( spl0_49
  <=> ! [X49] :
        ( c3_1(X49)
        | c1_1(X49)
        | c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1201,plain,
    ( c3_1(a163)
    | c2_1(a163)
    | ~ spl0_49
    | spl0_88 ),
    inference(resolution,[],[f422,f605]) ).

fof(f422,plain,
    ( ! [X49] :
        ( c1_1(X49)
        | c3_1(X49)
        | c2_1(X49) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1861,plain,
    ( spl0_126
    | spl0_125
    | ~ spl0_59
    | spl0_171 ),
    inference(avatar_split_clause,[],[f1843,f1063,f464,f769,f773]) ).

fof(f773,plain,
    ( spl0_126
  <=> c2_1(a112) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f464,plain,
    ( spl0_59
  <=> ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | c2_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1843,plain,
    ( c3_1(a112)
    | c2_1(a112)
    | ~ spl0_59
    | spl0_171 ),
    inference(resolution,[],[f465,f1064]) ).

fof(f1064,plain,
    ( ~ c0_1(a112)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f465,plain,
    ( ! [X72] :
        ( c0_1(X72)
        | c3_1(X72)
        | c2_1(X72) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f1860,plain,
    ( spl0_129
    | spl0_128
    | ~ spl0_59
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1842,f791,f464,f783,f787]) ).

fof(f787,plain,
    ( spl0_129
  <=> c2_1(a111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f783,plain,
    ( spl0_128
  <=> c3_1(a111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f791,plain,
    ( spl0_130
  <=> c0_1(a111) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1842,plain,
    ( c3_1(a111)
    | c2_1(a111)
    | ~ spl0_59
    | spl0_130 ),
    inference(resolution,[],[f465,f792]) ).

fof(f792,plain,
    ( ~ c0_1(a111)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f1651,plain,
    ( ~ spl0_69
    | spl0_188
    | ~ spl0_39
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1607,f522,f378,f1594,f518]) ).

fof(f518,plain,
    ( spl0_69
  <=> c2_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1594,plain,
    ( spl0_188
  <=> c1_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f522,plain,
    ( spl0_70
  <=> c0_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1607,plain,
    ( c1_1(a131)
    | ~ c2_1(a131)
    | ~ spl0_39
    | ~ spl0_70 ),
    inference(resolution,[],[f523,f379]) ).

fof(f523,plain,
    ( c0_1(a131)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f1648,plain,
    ( spl0_175
    | spl0_137
    | ~ spl0_56
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1385,f828,f452,f824,f1152]) ).

fof(f824,plain,
    ( spl0_137
  <=> c0_1(a108) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f452,plain,
    ( spl0_56
  <=> ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66)
        | c2_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1385,plain,
    ( c0_1(a108)
    | c2_1(a108)
    | ~ spl0_56
    | ~ spl0_138 ),
    inference(resolution,[],[f453,f829]) ).

fof(f829,plain,
    ( c3_1(a108)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f453,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66)
        | c2_1(X66) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f1642,plain,
    ( ~ spl0_176
    | ~ spl0_142
    | ~ spl0_18
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1625,f842,f297,f846,f1257]) ).

fof(f1625,plain,
    ( ~ c1_1(a107)
    | ~ c3_1(a107)
    | ~ spl0_18
    | ~ spl0_141 ),
    inference(resolution,[],[f298,f843]) ).

fof(f1613,plain,
    ( ~ spl0_188
    | ~ spl0_68
    | ~ spl0_55
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1609,f522,f446,f514,f1594]) ).

fof(f514,plain,
    ( spl0_68
  <=> c3_1(a131) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f446,plain,
    ( spl0_55
  <=> ! [X58] :
        ( ~ c3_1(X58)
        | ~ c0_1(X58)
        | ~ c1_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1609,plain,
    ( ~ c3_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_55
    | ~ spl0_70 ),
    inference(resolution,[],[f523,f447]) ).

fof(f447,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | ~ c3_1(X58)
        | ~ c1_1(X58) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1600,plain,
    ( ~ spl0_68
    | ~ spl0_70
    | ~ spl0_19
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1597,f518,f301,f522,f514]) ).

fof(f301,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1597,plain,
    ( ~ c0_1(a131)
    | ~ c3_1(a131)
    | ~ spl0_19
    | ~ spl0_69 ),
    inference(resolution,[],[f519,f302]) ).

fof(f302,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f519,plain,
    ( c2_1(a131)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f1596,plain,
    ( ~ spl0_70
    | spl0_188
    | ~ spl0_32
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1591,f514,f350,f1594,f522]) ).

fof(f350,plain,
    ( spl0_32
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c1_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1591,plain,
    ( c1_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_32
    | ~ spl0_68 ),
    inference(resolution,[],[f515,f351]) ).

fof(f351,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c1_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f515,plain,
    ( c3_1(a131)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1589,plain,
    ( spl0_86
    | spl0_88
    | ~ spl0_45
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1585,f1347,f403,f604,f596]) ).

fof(f403,plain,
    ( spl0_45
  <=> ! [X35] :
        ( ~ c0_1(X35)
        | c1_1(X35)
        | c3_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1585,plain,
    ( c1_1(a163)
    | c3_1(a163)
    | ~ spl0_45
    | ~ spl0_183 ),
    inference(resolution,[],[f1348,f404]) ).

fof(f404,plain,
    ( ! [X35] :
        ( ~ c0_1(X35)
        | c1_1(X35)
        | c3_1(X35) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f1348,plain,
    ( c0_1(a163)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1587,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_47
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1584,f1347,f411,f604,f600]) ).

fof(f411,plain,
    ( spl0_47
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1584,plain,
    ( c1_1(a163)
    | c2_1(a163)
    | ~ spl0_47
    | ~ spl0_183 ),
    inference(resolution,[],[f1348,f412]) ).

fof(f412,plain,
    ( ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f1541,plain,
    ( ~ spl0_66
    | ~ spl0_65
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1536,f507,f446,f499,f503]) ).

fof(f503,plain,
    ( spl0_66
  <=> c1_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f499,plain,
    ( spl0_65
  <=> c3_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f507,plain,
    ( spl0_67
  <=> c0_1(a141) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1536,plain,
    ( ~ c3_1(a141)
    | ~ c1_1(a141)
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(resolution,[],[f508,f447]) ).

fof(f508,plain,
    ( c0_1(a141)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f1509,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1004,f804,f398,f800,f796]) ).

fof(f800,plain,
    ( spl0_132
  <=> c1_1(a110) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f398,plain,
    ( spl0_44
  <=> ! [X32] :
        ( ~ c2_1(X32)
        | c1_1(X32)
        | c3_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1004,plain,
    ( c1_1(a110)
    | c3_1(a110)
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(resolution,[],[f399,f805]) ).

fof(f399,plain,
    ( ! [X32] :
        ( ~ c2_1(X32)
        | c1_1(X32)
        | c3_1(X32) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f1506,plain,
    ( ~ spl0_133
    | spl0_132
    | ~ spl0_39
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1502,f1320,f378,f800,f804]) ).

fof(f1502,plain,
    ( c1_1(a110)
    | ~ c2_1(a110)
    | ~ spl0_39
    | ~ spl0_178 ),
    inference(resolution,[],[f1321,f379]) ).

fof(f1321,plain,
    ( c0_1(a110)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1320]) ).

fof(f1472,plain,
    ( ~ spl0_148
    | spl0_168
    | ~ spl0_61
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1462,f865,f476,f1021,f873]) ).

fof(f476,plain,
    ( spl0_61
  <=> ! [X87] :
        ( ~ c2_1(X87)
        | c0_1(X87)
        | c1_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1462,plain,
    ( c0_1(a105)
    | ~ c2_1(a105)
    | ~ spl0_61
    | spl0_146 ),
    inference(resolution,[],[f477,f866]) ).

fof(f866,plain,
    ( ~ c1_1(a105)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f477,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | c0_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f1470,plain,
    ( ~ spl0_157
    | spl0_156
    | ~ spl0_61
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1461,f905,f476,f909,f913]) ).

fof(f913,plain,
    ( spl0_157
  <=> c2_1(a102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1461,plain,
    ( c0_1(a102)
    | ~ c2_1(a102)
    | ~ spl0_61
    | spl0_155 ),
    inference(resolution,[],[f477,f906]) ).

fof(f906,plain,
    ( ~ c1_1(a102)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f1439,plain,
    ( spl0_107
    | spl0_108
    | ~ spl0_60
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1429,f696,f468,f692,f688]) ).

fof(f688,plain,
    ( spl0_107
  <=> c1_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f692,plain,
    ( spl0_108
  <=> c0_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f696,plain,
    ( spl0_109
  <=> c3_1(a132) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1429,plain,
    ( c0_1(a132)
    | c1_1(a132)
    | ~ spl0_60
    | ~ spl0_109 ),
    inference(resolution,[],[f469,f697]) ).

fof(f697,plain,
    ( c3_1(a132)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f1400,plain,
    ( spl0_80
    | spl0_81
    | ~ spl0_47
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1398,f576,f411,f572,f568]) ).

fof(f568,plain,
    ( spl0_80
  <=> c2_1(a187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f572,plain,
    ( spl0_81
  <=> c1_1(a187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f576,plain,
    ( spl0_82
  <=> c0_1(a187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1398,plain,
    ( c1_1(a187)
    | c2_1(a187)
    | ~ spl0_47
    | ~ spl0_82 ),
    inference(resolution,[],[f577,f412]) ).

fof(f577,plain,
    ( c0_1(a187)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1392,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_56
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1386,f764,f452,f760,f756]) ).

fof(f756,plain,
    ( spl0_122
  <=> c2_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f760,plain,
    ( spl0_123
  <=> c0_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f764,plain,
    ( spl0_124
  <=> c3_1(a113) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1386,plain,
    ( c0_1(a113)
    | c2_1(a113)
    | ~ spl0_56
    | ~ spl0_124 ),
    inference(resolution,[],[f453,f765]) ).

fof(f765,plain,
    ( c3_1(a113)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1376,plain,
    ( ~ spl0_167
    | spl0_143
    | ~ spl0_25
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1372,f859,f323,f851,f1016]) ).

fof(f1016,plain,
    ( spl0_167
  <=> c3_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f851,plain,
    ( spl0_143
  <=> c2_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f323,plain,
    ( spl0_25
  <=> ! [X6] :
        ( ~ c3_1(X6)
        | c2_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f859,plain,
    ( spl0_145
  <=> c0_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1372,plain,
    ( c2_1(a106)
    | ~ c3_1(a106)
    | ~ spl0_25
    | ~ spl0_145 ),
    inference(resolution,[],[f860,f324]) ).

fof(f324,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c2_1(X6)
        | ~ c3_1(X6) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f860,plain,
    ( c0_1(a106)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f1375,plain,
    ( ~ spl0_144
    | ~ spl0_167
    | ~ spl0_55
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1369,f859,f446,f1016,f855]) ).

fof(f855,plain,
    ( spl0_144
  <=> c1_1(a106) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1369,plain,
    ( ~ c3_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_55
    | ~ spl0_145 ),
    inference(resolution,[],[f860,f447]) ).

fof(f1365,plain,
    ( ~ spl0_85
    | spl0_83
    | ~ spl0_23
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1362,f1135,f316,f582,f590]) ).

fof(f582,plain,
    ( spl0_83
  <=> c2_1(a167) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f316,plain,
    ( spl0_23
  <=> ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1362,plain,
    ( c2_1(a167)
    | ~ c1_1(a167)
    | ~ spl0_23
    | ~ spl0_174 ),
    inference(resolution,[],[f1136,f317]) ).

fof(f317,plain,
    ( ! [X5] :
        ( ~ c3_1(X5)
        | c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f1136,plain,
    ( c3_1(a167)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1349,plain,
    ( spl0_87
    | spl0_183
    | ~ spl0_63
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1312,f604,f487,f1347,f600]) ).

fof(f487,plain,
    ( spl0_63
  <=> ! [X94] :
        ( c2_1(X94)
        | c0_1(X94)
        | c1_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1312,plain,
    ( c0_1(a163)
    | c2_1(a163)
    | ~ spl0_63
    | spl0_88 ),
    inference(resolution,[],[f488,f605]) ).

fof(f488,plain,
    ( ! [X94] :
        ( c1_1(X94)
        | c0_1(X94)
        | c2_1(X94) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f1339,plain,
    ( spl0_92
    | spl0_94
    | ~ spl0_63
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1310,f627,f487,f631,f623]) ).

fof(f623,plain,
    ( spl0_92
  <=> c2_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f631,plain,
    ( spl0_94
  <=> c0_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f627,plain,
    ( spl0_93
  <=> c1_1(a145) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1310,plain,
    ( c0_1(a145)
    | c2_1(a145)
    | ~ spl0_63
    | spl0_93 ),
    inference(resolution,[],[f488,f628]) ).

fof(f628,plain,
    ( ~ c1_1(a145)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f1270,plain,
    ( spl0_146
    | spl0_168
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1263,f869,f468,f1021,f865]) ).

fof(f869,plain,
    ( spl0_147
  <=> c3_1(a105) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1263,plain,
    ( c0_1(a105)
    | c1_1(a105)
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(resolution,[],[f469,f870]) ).

fof(f870,plain,
    ( c3_1(a105)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f1252,plain,
    ( spl0_83
    | spl0_84
    | ~ spl0_58
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1248,f590,f460,f586,f582]) ).

fof(f460,plain,
    ( spl0_58
  <=> ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c2_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1248,plain,
    ( c0_1(a167)
    | c2_1(a167)
    | ~ spl0_58
    | ~ spl0_85 ),
    inference(resolution,[],[f461,f591]) ).

fof(f461,plain,
    ( ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c2_1(X70) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f1232,plain,
    ( ~ spl0_170
    | ~ spl0_105
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1229,f683,f446,f679,f1039]) ).

fof(f1039,plain,
    ( spl0_170
  <=> c1_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f679,plain,
    ( spl0_105
  <=> c3_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f683,plain,
    ( spl0_106
  <=> c0_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1229,plain,
    ( ~ c3_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(resolution,[],[f447,f684]) ).

fof(f684,plain,
    ( c0_1(a134)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1214,plain,
    ( spl0_119
    | spl0_164
    | ~ spl0_53
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1208,f746,f438,f973,f742]) ).

fof(f1208,plain,
    ( c0_1(a114)
    | c3_1(a114)
    | ~ spl0_53
    | ~ spl0_120 ),
    inference(resolution,[],[f439,f747]) ).

fof(f747,plain,
    ( c2_1(a114)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f1179,plain,
    ( ~ spl0_71
    | spl0_173
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1129,f536,f389,f1117,f528]) ).

fof(f528,plain,
    ( spl0_71
  <=> c2_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1117,plain,
    ( spl0_173
  <=> c3_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f536,plain,
    ( spl0_73
  <=> c0_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1129,plain,
    ( c3_1(a128)
    | ~ c2_1(a128)
    | ~ spl0_42
    | ~ spl0_73 ),
    inference(resolution,[],[f537,f390]) ).

fof(f537,plain,
    ( c0_1(a128)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f1176,plain,
    ( ~ spl0_103
    | spl0_102
    | ~ spl0_27
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1172,f1033,f330,f666,f670]) ).

fof(f670,plain,
    ( spl0_103
  <=> c0_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f666,plain,
    ( spl0_102
  <=> c2_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f330,plain,
    ( spl0_27
  <=> ! [X7] :
        ( ~ c1_1(X7)
        | c2_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1033,plain,
    ( spl0_169
  <=> c1_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1172,plain,
    ( c2_1(a135)
    | ~ c0_1(a135)
    | ~ spl0_27
    | ~ spl0_169 ),
    inference(resolution,[],[f1034,f331]) ).

fof(f331,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | c2_1(X7)
        | ~ c0_1(X7) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f1034,plain,
    ( c1_1(a135)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1128,plain,
    ( spl0_101
    | spl0_169
    | ~ spl0_45
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1029,f670,f403,f1033,f662]) ).

fof(f662,plain,
    ( spl0_101
  <=> c3_1(a135) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1029,plain,
    ( c1_1(a135)
    | c3_1(a135)
    | ~ spl0_45
    | ~ spl0_103 ),
    inference(resolution,[],[f404,f671]) ).

fof(f671,plain,
    ( c0_1(a135)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f1127,plain,
    ( ~ spl0_73
    | spl0_173
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1125,f532,f312,f1117,f536]) ).

fof(f312,plain,
    ( spl0_22
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f532,plain,
    ( spl0_72
  <=> c1_1(a128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1125,plain,
    ( c3_1(a128)
    | ~ c0_1(a128)
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(resolution,[],[f533,f313]) ).

fof(f313,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f533,plain,
    ( c1_1(a128)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f1120,plain,
    ( ~ spl0_173
    | ~ spl0_73
    | ~ spl0_19
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1114,f528,f301,f536,f1117]) ).

fof(f1114,plain,
    ( ~ c0_1(a128)
    | ~ c3_1(a128)
    | ~ spl0_19
    | ~ spl0_71 ),
    inference(resolution,[],[f529,f302]) ).

fof(f529,plain,
    ( c2_1(a128)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f1112,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_30
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1107,f777,f342,f773,f769]) ).

fof(f342,plain,
    ( spl0_30
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | c3_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1107,plain,
    ( c2_1(a112)
    | c3_1(a112)
    | ~ spl0_30
    | ~ spl0_127 ),
    inference(resolution,[],[f343,f778]) ).

fof(f343,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | c3_1(X11) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f1111,plain,
    ( spl0_167
    | spl0_143
    | ~ spl0_30
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1104,f855,f342,f851,f1016]) ).

fof(f1104,plain,
    ( c2_1(a106)
    | c3_1(a106)
    | ~ spl0_30
    | ~ spl0_144 ),
    inference(resolution,[],[f343,f856]) ).

fof(f856,plain,
    ( c1_1(a106)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f1098,plain,
    ( ~ spl0_106
    | spl0_104
    | ~ spl0_27
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1095,f1039,f330,f675,f683]) ).

fof(f675,plain,
    ( spl0_104
  <=> c2_1(a134) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1095,plain,
    ( c2_1(a134)
    | ~ c0_1(a134)
    | ~ spl0_27
    | ~ spl0_170 ),
    inference(resolution,[],[f1040,f331]) ).

fof(f1040,plain,
    ( c1_1(a134)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f1068,plain,
    ( ~ spl0_171
    | spl0_125
    | ~ spl0_22
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1061,f777,f312,f769,f1063]) ).

fof(f1061,plain,
    ( c3_1(a112)
    | ~ c0_1(a112)
    | ~ spl0_22
    | ~ spl0_127 ),
    inference(resolution,[],[f778,f313]) ).

fof(f1066,plain,
    ( ~ spl0_171
    | spl0_126
    | ~ spl0_27
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1060,f777,f330,f773,f1063]) ).

fof(f1060,plain,
    ( c2_1(a112)
    | ~ c0_1(a112)
    | ~ spl0_27
    | ~ spl0_127 ),
    inference(resolution,[],[f778,f331]) ).

fof(f1056,plain,
    ( ~ spl0_74
    | spl0_163
    | ~ spl0_50
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1053,f545,f425,f959,f541]) ).

fof(f541,plain,
    ( spl0_74
  <=> c3_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f959,plain,
    ( spl0_163
  <=> c0_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f545,plain,
    ( spl0_75
  <=> c2_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1053,plain,
    ( c0_1(a118)
    | ~ c3_1(a118)
    | ~ spl0_50
    | ~ spl0_75 ),
    inference(resolution,[],[f426,f546]) ).

fof(f546,plain,
    ( c2_1(a118)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1051,plain,
    ( spl0_166
    | spl0_113
    | ~ spl0_48
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1046,f719,f417,f715,f993]) ).

fof(f993,plain,
    ( spl0_166
  <=> c2_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f715,plain,
    ( spl0_113
  <=> c1_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f417,plain,
    ( spl0_48
  <=> ! [X45] :
        ( ~ c3_1(X45)
        | c1_1(X45)
        | c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f719,plain,
    ( spl0_114
  <=> c3_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1046,plain,
    ( c1_1(a117)
    | c2_1(a117)
    | ~ spl0_48
    | ~ spl0_114 ),
    inference(resolution,[],[f418,f720]) ).

fof(f720,plain,
    ( c3_1(a117)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f418,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | c1_1(X45)
        | c2_1(X45) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f1041,plain,
    ( ~ spl0_106
    | spl0_170
    | ~ spl0_32
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1036,f679,f350,f1039,f683]) ).

fof(f1036,plain,
    ( c1_1(a134)
    | ~ c0_1(a134)
    | ~ spl0_32
    | ~ spl0_105 ),
    inference(resolution,[],[f680,f351]) ).

fof(f680,plain,
    ( c3_1(a134)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f1024,plain,
    ( ~ spl0_168
    | spl0_146
    | ~ spl0_32
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1019,f869,f350,f865,f1021]) ).

fof(f1019,plain,
    ( c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_32
    | ~ spl0_147 ),
    inference(resolution,[],[f870,f351]) ).

fof(f1018,plain,
    ( ~ spl0_145
    | spl0_167
    | ~ spl0_22
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1011,f855,f312,f1016,f859]) ).

fof(f1011,plain,
    ( c3_1(a106)
    | ~ c0_1(a106)
    | ~ spl0_22
    | ~ spl0_144 ),
    inference(resolution,[],[f856,f313]) ).

fof(f1014,plain,
    ( ~ spl0_145
    | spl0_143
    | ~ spl0_27
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1010,f855,f330,f851,f859]) ).

fof(f1010,plain,
    ( c2_1(a106)
    | ~ c0_1(a106)
    | ~ spl0_27
    | ~ spl0_144 ),
    inference(resolution,[],[f856,f331]) ).

fof(f995,plain,
    ( ~ spl0_166
    | spl0_113
    | ~ spl0_37
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f990,f719,f371,f715,f993]) ).

fof(f371,plain,
    ( spl0_37
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f990,plain,
    ( c1_1(a117)
    | ~ c2_1(a117)
    | ~ spl0_37
    | ~ spl0_114 ),
    inference(resolution,[],[f372,f720]) ).

fof(f372,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f985,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f977,f670,f346,f666,f662]) ).

fof(f346,plain,
    ( spl0_31
  <=> ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12)
        | c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f977,plain,
    ( c2_1(a135)
    | c3_1(a135)
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(resolution,[],[f347,f671]) ).

fof(f347,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12)
        | c3_1(X12) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f975,plain,
    ( ~ spl0_164
    | spl0_119
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f971,f750,f312,f742,f973]) ).

fof(f971,plain,
    ( c3_1(a114)
    | ~ c0_1(a114)
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(resolution,[],[f751,f313]) ).

fof(f969,plain,
    ( ~ spl0_121
    | spl0_119
    | ~ spl0_21
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f964,f746,f308,f742,f750]) ).

fof(f964,plain,
    ( c3_1(a114)
    | ~ c1_1(a114)
    | ~ spl0_21
    | ~ spl0_120 ),
    inference(resolution,[],[f747,f309]) ).

fof(f963,plain,
    ( ~ spl0_74
    | ~ spl0_76
    | ~ spl0_18
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f956,f545,f297,f549,f541]) ).

fof(f549,plain,
    ( spl0_76
  <=> c1_1(a118) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f956,plain,
    ( ~ c1_1(a118)
    | ~ c3_1(a118)
    | ~ spl0_18
    | ~ spl0_75 ),
    inference(resolution,[],[f546,f298]) ).

fof(f961,plain,
    ( ~ spl0_74
    | ~ spl0_163
    | ~ spl0_19
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f955,f545,f301,f959,f541]) ).

fof(f955,plain,
    ( ~ c0_1(a118)
    | ~ c3_1(a118)
    | ~ spl0_19
    | ~ spl0_75 ),
    inference(resolution,[],[f546,f302]) ).

fof(f953,plain,
    ( ~ spl0_115
    | spl0_113
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f950,f719,f350,f715,f723]) ).

fof(f723,plain,
    ( spl0_115
  <=> c0_1(a117) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f950,plain,
    ( c1_1(a117)
    | ~ c0_1(a117)
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(resolution,[],[f351,f720]) ).

fof(f928,plain,
    ( ~ spl0_9
    | spl0_160 ),
    inference(avatar_split_clause,[],[f8,f926,f265]) ).

fof(f265,plain,
    ( spl0_9
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f8,plain,
    ( c2_1(a101)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp24
      | hskp27
      | hskp25 )
    & ( hskp8
      | hskp25 )
    & ( hskp4
      | hskp11
      | hskp26 )
    & ( hskp0
      | hskp7
      | hskp26 )
    & ( hskp9
      | hskp4
      | hskp5 )
    & ( hskp25
      | hskp16
      | hskp5 )
    & ( hskp13
      | hskp15
      | hskp5 )
    & ( hskp24
      | hskp30
      | hskp31 )
    & ( hskp0
      | hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp13
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp25
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp6
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp1
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp19
      | ! [X12] :
          ( ~ c0_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp4
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp4
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp28
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp15
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp31
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp28
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp29
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp2
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp15
      | ! [X57] :
          ( ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp15
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | c2_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X88] :
          ( c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X89] :
          ( c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X90] :
          ( c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c0_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X94] :
          ( c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X97] :
          ( ~ c3_1(X97)
          | ~ c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a141)
        & c1_1(a141)
        & c0_1(a141)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a131)
        & c2_1(a131)
        & c0_1(a131)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a118)
        & c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a196)
        & ~ c0_1(a196)
        & c2_1(a196)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a187)
        & ~ c1_1(a187)
        & c0_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a167)
        & ~ c0_1(a167)
        & c1_1(a167)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a163)
        & ~ c2_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a153)
        & ~ c1_1(a153)
        & ~ c0_1(a153)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a145)
        & ~ c1_1(a145)
        & ~ c0_1(a145)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a143)
        & ~ c1_1(a143)
        & c3_1(a143)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a139)
        & ~ c1_1(a139)
        & c0_1(a139)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a135)
        & ~ c2_1(a135)
        & c0_1(a135)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a134)
        & c3_1(a134)
        & c0_1(a134)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a126)
        & c3_1(a126)
        & c1_1(a126)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a117)
        & c3_1(a117)
        & c0_1(a117)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a116)
        & c2_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a114)
        & c2_1(a114)
        & c1_1(a114)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & ~ c0_1(a113)
        & c3_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a112)
        & ~ c2_1(a112)
        & c1_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a111)
        & ~ c2_1(a111)
        & ~ c0_1(a111)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a110)
        & ~ c1_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c1_1(a109)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a108)
        & c3_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a107)
        & c2_1(a107)
        & c1_1(a107)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a106)
        & c1_1(a106)
        & c0_1(a106)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a105)
        & c3_1(a105)
        & c2_1(a105)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a104)
        & c2_1(a104)
        & c0_1(a104)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a103)
        & c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a102)
        & ~ c0_1(a102)
        & c2_1(a102)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a101)
        & c3_1(a101)
        & c2_1(a101)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp24
      | hskp27
      | hskp25 )
    & ( hskp8
      | hskp25 )
    & ( hskp4
      | hskp11
      | hskp26 )
    & ( hskp0
      | hskp7
      | hskp26 )
    & ( hskp9
      | hskp4
      | hskp5 )
    & ( hskp25
      | hskp16
      | hskp5 )
    & ( hskp13
      | hskp15
      | hskp5 )
    & ( hskp24
      | hskp30
      | hskp31 )
    & ( hskp0
      | hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp13
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp25
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp6
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp1
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp19
      | ! [X12] :
          ( ~ c0_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp4
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp4
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp28
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp15
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp31
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c0_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp28
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp19
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X41] :
          ( ~ c1_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X43] :
          ( ~ c2_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp29
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp2
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp15
      | ! [X57] :
          ( ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp15
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | c2_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X88] :
          ( c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X89] :
          ( c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X90] :
          ( c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c0_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X94] :
          ( c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X97] :
          ( ~ c3_1(X97)
          | ~ c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a141)
        & c1_1(a141)
        & c0_1(a141)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a131)
        & c2_1(a131)
        & c0_1(a131)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a118)
        & c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a196)
        & ~ c0_1(a196)
        & c2_1(a196)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a187)
        & ~ c1_1(a187)
        & c0_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a167)
        & ~ c0_1(a167)
        & c1_1(a167)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a163)
        & ~ c2_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a153)
        & ~ c1_1(a153)
        & ~ c0_1(a153)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a145)
        & ~ c1_1(a145)
        & ~ c0_1(a145)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a143)
        & ~ c1_1(a143)
        & c3_1(a143)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a139)
        & ~ c1_1(a139)
        & c0_1(a139)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a135)
        & ~ c2_1(a135)
        & c0_1(a135)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a134)
        & c3_1(a134)
        & c0_1(a134)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a126)
        & c3_1(a126)
        & c1_1(a126)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a117)
        & c3_1(a117)
        & c0_1(a117)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a116)
        & c2_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a114)
        & c2_1(a114)
        & c1_1(a114)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & ~ c0_1(a113)
        & c3_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a112)
        & ~ c2_1(a112)
        & c1_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a111)
        & ~ c2_1(a111)
        & ~ c0_1(a111)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a110)
        & ~ c1_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c1_1(a109)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a108)
        & c3_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a107)
        & c2_1(a107)
        & c1_1(a107)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a106)
        & c1_1(a106)
        & c0_1(a106)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a105)
        & c3_1(a105)
        & c2_1(a105)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a104)
        & c2_1(a104)
        & c0_1(a104)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a103)
        & c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a102)
        & ~ c0_1(a102)
        & c2_1(a102)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a101)
        & c3_1(a101)
        & c2_1(a101)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp24
      | hskp27
      | hskp25 )
    & ( hskp8
      | hskp25 )
    & ( hskp4
      | hskp11
      | hskp26 )
    & ( hskp0
      | hskp7
      | hskp26 )
    & ( hskp9
      | hskp4
      | hskp5 )
    & ( hskp25
      | hskp16
      | hskp5 )
    & ( hskp13
      | hskp15
      | hskp5 )
    & ( hskp24
      | hskp30
      | hskp31 )
    & ( hskp0
      | hskp25
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp11
      | hskp19
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp4
      | hskp13
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp0
      | hskp25
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp1
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp16
      | hskp6
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp24
      | hskp1
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp4
      | hskp29
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp12
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp19
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp8
      | hskp19
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp10
      | hskp4
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c0_1(X13)
            | c1_1(X13) ) ) )
    & ( hskp23
      | hskp4
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp11
      | hskp28
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) ) )
    & ( hskp28
      | hskp15
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c0_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp28
      | hskp31
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp22
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp17
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp21
      | hskp29
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp31
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp17
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c0_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c2_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c0_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp20
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp17
      | hskp28
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp17
      | hskp19
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp18
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c2_1(X36)
            | ~ c0_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c1_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp7
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c1_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp17
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c0_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp30
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c3_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp16
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | ~ c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c3_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp11
      | hskp29
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp10
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c0_1(X51)
            | c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp16
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp7
      | hskp2
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp0
      | hskp15
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp10
      | hskp15
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp8
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | ~ c0_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | c2_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c0_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp28
      | hskp15
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp14
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp6
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp13
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c1_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c1_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp12
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c0_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c1_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp11
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c3_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c2_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp10
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c1_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp9
      | hskp8
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp7
      | hskp6
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp5
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c0_1(X91)
            | c3_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp4
      | hskp3
      | ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp2
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | c2_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp1
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c2_1(X97)
            | c0_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp0
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | ~ c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ( c3_1(a141)
        & c1_1(a141)
        & c0_1(a141)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a131)
        & c2_1(a131)
        & c0_1(a131)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a118)
        & c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a196)
        & ~ c0_1(a196)
        & c2_1(a196)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a187)
        & ~ c1_1(a187)
        & c0_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a167)
        & ~ c0_1(a167)
        & c1_1(a167)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a163)
        & ~ c2_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a153)
        & ~ c1_1(a153)
        & ~ c0_1(a153)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a145)
        & ~ c1_1(a145)
        & ~ c0_1(a145)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a143)
        & ~ c1_1(a143)
        & c3_1(a143)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a139)
        & ~ c1_1(a139)
        & c0_1(a139)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a135)
        & ~ c2_1(a135)
        & c0_1(a135)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a134)
        & c3_1(a134)
        & c0_1(a134)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a126)
        & c3_1(a126)
        & c1_1(a126)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a117)
        & c3_1(a117)
        & c0_1(a117)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a116)
        & c2_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a114)
        & c2_1(a114)
        & c1_1(a114)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & ~ c0_1(a113)
        & c3_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a112)
        & ~ c2_1(a112)
        & c1_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a111)
        & ~ c2_1(a111)
        & ~ c0_1(a111)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a110)
        & ~ c1_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c1_1(a109)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a108)
        & c3_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a107)
        & c2_1(a107)
        & c1_1(a107)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a106)
        & c1_1(a106)
        & c0_1(a106)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a105)
        & c3_1(a105)
        & c2_1(a105)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a104)
        & c2_1(a104)
        & c0_1(a104)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a103)
        & c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a102)
        & ~ c0_1(a102)
        & c2_1(a102)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a101)
        & c3_1(a101)
        & c2_1(a101)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp24
          | hskp27
          | hskp25 )
        & ( hskp8
          | hskp25 )
        & ( hskp4
          | hskp11
          | hskp26 )
        & ( hskp0
          | hskp7
          | hskp26 )
        & ( hskp9
          | hskp4
          | hskp5 )
        & ( hskp25
          | hskp16
          | hskp5 )
        & ( hskp13
          | hskp15
          | hskp5 )
        & ( hskp24
          | hskp30
          | hskp31 )
        & ( hskp0
          | hskp25
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp11
          | hskp19
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp4
          | hskp13
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp0
          | hskp25
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp1
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp16
          | hskp6
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp24
          | hskp1
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp4
          | hskp29
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp12
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp19
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp8
          | hskp19
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp10
          | hskp4
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) ) )
        & ( hskp23
          | hskp4
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp11
          | hskp28
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) ) )
        & ( hskp28
          | hskp15
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp28
          | hskp31
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp22
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp17
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp21
          | hskp29
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp31
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp17
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c0_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp20
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp17
          | hskp28
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp17
          | hskp19
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp18
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp7
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp17
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp30
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp16
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp11
          | hskp29
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp10
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp16
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp7
          | hskp2
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp0
          | hskp15
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp10
          | hskp15
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp8
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c0_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp28
          | hskp15
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp14
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp6
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp13
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp12
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c2_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp10
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp9
          | hskp8
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp7
          | hskp6
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp5
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp4
          | hskp3
          | ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp2
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | c2_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp1
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp0
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ( c3_1(a141)
            & c1_1(a141)
            & c0_1(a141)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a131)
            & c2_1(a131)
            & c0_1(a131)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a128)
            & c1_1(a128)
            & c0_1(a128)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a118)
            & c2_1(a118)
            & c1_1(a118)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a196)
            & ~ c0_1(a196)
            & c2_1(a196)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a187)
            & ~ c1_1(a187)
            & c0_1(a187)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a167)
            & ~ c0_1(a167)
            & c1_1(a167)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a163)
            & ~ c2_1(a163)
            & ~ c1_1(a163)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a153)
            & ~ c1_1(a153)
            & ~ c0_1(a153)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a145)
            & ~ c1_1(a145)
            & ~ c0_1(a145)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a143)
            & ~ c1_1(a143)
            & c3_1(a143)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a139)
            & ~ c1_1(a139)
            & c0_1(a139)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a135)
            & ~ c2_1(a135)
            & c0_1(a135)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a134)
            & c3_1(a134)
            & c0_1(a134)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a132)
            & ~ c0_1(a132)
            & c3_1(a132)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a126)
            & c3_1(a126)
            & c1_1(a126)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a117)
            & c3_1(a117)
            & c0_1(a117)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a116)
            & c2_1(a116)
            & c0_1(a116)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a114)
            & c2_1(a114)
            & c1_1(a114)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a113)
            & ~ c0_1(a113)
            & c3_1(a113)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a112)
            & ~ c2_1(a112)
            & c1_1(a112)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a111)
            & ~ c2_1(a111)
            & ~ c0_1(a111)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a110)
            & ~ c1_1(a110)
            & c2_1(a110)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a109)
            & ~ c0_1(a109)
            & c1_1(a109)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a108)
            & c3_1(a108)
            & c1_1(a108)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a107)
            & c2_1(a107)
            & c1_1(a107)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a106)
            & c1_1(a106)
            & c0_1(a106)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a105)
            & c3_1(a105)
            & c2_1(a105)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a104)
            & c2_1(a104)
            & c0_1(a104)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a103)
            & c1_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a102)
            & ~ c0_1(a102)
            & c2_1(a102)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a101)
            & c3_1(a101)
            & c2_1(a101)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp24
          | hskp27
          | hskp25 )
        & ( hskp8
          | hskp25 )
        & ( hskp4
          | hskp11
          | hskp26 )
        & ( hskp0
          | hskp7
          | hskp26 )
        & ( hskp9
          | hskp4
          | hskp5 )
        & ( hskp25
          | hskp16
          | hskp5 )
        & ( hskp13
          | hskp15
          | hskp5 )
        & ( hskp24
          | hskp30
          | hskp31 )
        & ( hskp0
          | hskp25
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) ) )
        & ( hskp11
          | hskp19
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) ) )
        & ( hskp4
          | hskp13
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp0
          | hskp25
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( hskp1
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp16
          | hskp6
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp24
          | hskp1
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp4
          | hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp12
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp19
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp8
          | hskp19
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp10
          | hskp4
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp23
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp11
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp28
          | hskp15
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp28
          | hskp31
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp22
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp17
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp21
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp31
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c1_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp17
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c3_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp20
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp17
          | hskp28
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp17
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp18
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp7
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp17
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp30
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp16
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) ) )
        & ( hskp11
          | hskp29
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp10
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp16
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp7
          | hskp2
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp0
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp10
          | hskp15
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp8
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c0_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp28
          | hskp15
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp14
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp13
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp10
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp9
          | hskp8
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp7
          | hskp6
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c3_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp4
          | hskp3
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a141)
            & c1_1(a141)
            & c0_1(a141)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a131)
            & c2_1(a131)
            & c0_1(a131)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a128)
            & c1_1(a128)
            & c0_1(a128)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a118)
            & c2_1(a118)
            & c1_1(a118)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a196)
            & ~ c0_1(a196)
            & c2_1(a196)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a187)
            & ~ c1_1(a187)
            & c0_1(a187)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a167)
            & ~ c0_1(a167)
            & c1_1(a167)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a163)
            & ~ c2_1(a163)
            & ~ c1_1(a163)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a153)
            & ~ c1_1(a153)
            & ~ c0_1(a153)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a145)
            & ~ c1_1(a145)
            & ~ c0_1(a145)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a143)
            & ~ c1_1(a143)
            & c3_1(a143)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a139)
            & ~ c1_1(a139)
            & c0_1(a139)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a135)
            & ~ c2_1(a135)
            & c0_1(a135)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a134)
            & c3_1(a134)
            & c0_1(a134)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a132)
            & ~ c0_1(a132)
            & c3_1(a132)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a126)
            & c3_1(a126)
            & c1_1(a126)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a117)
            & c3_1(a117)
            & c0_1(a117)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a116)
            & c2_1(a116)
            & c0_1(a116)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a114)
            & c2_1(a114)
            & c1_1(a114)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a113)
            & ~ c0_1(a113)
            & c3_1(a113)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a112)
            & ~ c2_1(a112)
            & c1_1(a112)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a111)
            & ~ c2_1(a111)
            & ~ c0_1(a111)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a110)
            & ~ c1_1(a110)
            & c2_1(a110)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a109)
            & ~ c0_1(a109)
            & c1_1(a109)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a108)
            & c3_1(a108)
            & c1_1(a108)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a107)
            & c2_1(a107)
            & c1_1(a107)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a106)
            & c1_1(a106)
            & c0_1(a106)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a105)
            & c3_1(a105)
            & c2_1(a105)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a104)
            & c2_1(a104)
            & c0_1(a104)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a103)
            & c1_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a102)
            & ~ c0_1(a102)
            & c2_1(a102)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a101)
            & c3_1(a101)
            & c2_1(a101)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp24
        | hskp27
        | hskp25 )
      & ( hskp8
        | hskp25 )
      & ( hskp4
        | hskp11
        | hskp26 )
      & ( hskp0
        | hskp7
        | hskp26 )
      & ( hskp9
        | hskp4
        | hskp5 )
      & ( hskp25
        | hskp16
        | hskp5 )
      & ( hskp13
        | hskp15
        | hskp5 )
      & ( hskp24
        | hskp30
        | hskp31 )
      & ( hskp0
        | hskp25
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c1_1(X103) ) ) )
      & ( hskp11
        | hskp19
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c0_1(X102) ) ) )
      & ( hskp4
        | hskp13
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp0
        | hskp25
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( hskp1
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c0_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c1_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp16
        | hskp6
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp24
        | hskp1
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp4
        | hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp12
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c1_1(X94)
              | c3_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp19
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp8
        | hskp19
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp10
        | hskp4
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp23
        | hskp4
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp11
        | hskp28
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp28
        | hskp15
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp28
        | hskp31
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp22
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp17
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp21
        | hskp29
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp31
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c1_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp17
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c3_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c0_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp20
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp17
        | hskp28
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp17
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp18
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp7
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp17
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c0_1(X62)
              | c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp30
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp16
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) ) )
      & ( hskp11
        | hskp29
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp10
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c0_1(X52)
              | c3_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp16
        | ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp7
        | hskp2
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp0
        | hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp10
        | hskp15
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp8
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c1_1(X43)
              | c3_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c3_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c0_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp28
        | hskp15
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp14
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp6
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp13
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | ~ c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp12
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c0_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp11
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c0_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | ~ c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp10
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp9
        | hskp8
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp7
        | hskp6
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c0_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c3_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp4
        | hskp3
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c2_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a141)
          & c1_1(a141)
          & c0_1(a141)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a131)
          & c2_1(a131)
          & c0_1(a131)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a128)
          & c1_1(a128)
          & c0_1(a128)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a118)
          & c2_1(a118)
          & c1_1(a118)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a196)
          & ~ c0_1(a196)
          & c2_1(a196)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a187)
          & ~ c1_1(a187)
          & c0_1(a187)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a167)
          & ~ c0_1(a167)
          & c1_1(a167)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a163)
          & ~ c2_1(a163)
          & ~ c1_1(a163)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a153)
          & ~ c1_1(a153)
          & ~ c0_1(a153)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a145)
          & ~ c1_1(a145)
          & ~ c0_1(a145)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a143)
          & ~ c1_1(a143)
          & c3_1(a143)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a139)
          & ~ c1_1(a139)
          & c0_1(a139)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a135)
          & ~ c2_1(a135)
          & c0_1(a135)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a134)
          & c3_1(a134)
          & c0_1(a134)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a132)
          & ~ c0_1(a132)
          & c3_1(a132)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a126)
          & c3_1(a126)
          & c1_1(a126)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a117)
          & c3_1(a117)
          & c0_1(a117)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a116)
          & c2_1(a116)
          & c0_1(a116)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a114)
          & c2_1(a114)
          & c1_1(a114)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a113)
          & ~ c0_1(a113)
          & c3_1(a113)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a112)
          & ~ c2_1(a112)
          & c1_1(a112)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a111)
          & ~ c2_1(a111)
          & ~ c0_1(a111)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a110)
          & ~ c1_1(a110)
          & c2_1(a110)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a109)
          & ~ c0_1(a109)
          & c1_1(a109)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a108)
          & c3_1(a108)
          & c1_1(a108)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a107)
          & c2_1(a107)
          & c1_1(a107)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a106)
          & c1_1(a106)
          & c0_1(a106)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a105)
          & c3_1(a105)
          & c2_1(a105)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a104)
          & c2_1(a104)
          & c0_1(a104)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a103)
          & c1_1(a103)
          & c0_1(a103)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a102)
          & ~ c0_1(a102)
          & c2_1(a102)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a101)
          & c3_1(a101)
          & c2_1(a101)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.BmurvAKpoR/Vampire---4.8_4242',co1) ).

fof(f924,plain,
    ( ~ spl0_9
    | spl0_159 ),
    inference(avatar_split_clause,[],[f9,f922,f265]) ).

fof(f9,plain,
    ( c3_1(a101)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f920,plain,
    ( ~ spl0_9
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f10,f918,f265]) ).

fof(f10,plain,
    ( ~ c0_1(a101)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( ~ spl0_24
    | spl0_157 ),
    inference(avatar_split_clause,[],[f12,f913,f319]) ).

fof(f319,plain,
    ( spl0_24
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f12,plain,
    ( c2_1(a102)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_24
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f13,f909,f319]) ).

fof(f13,plain,
    ( ~ c0_1(a102)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_24
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f14,f905,f319]) ).

fof(f14,plain,
    ( ~ c1_1(a102)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( ~ spl0_7
    | spl0_148 ),
    inference(avatar_split_clause,[],[f24,f873,f258]) ).

fof(f258,plain,
    ( spl0_7
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f24,plain,
    ( c2_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f871,plain,
    ( ~ spl0_7
    | spl0_147 ),
    inference(avatar_split_clause,[],[f25,f869,f258]) ).

fof(f25,plain,
    ( c3_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_7
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f26,f865,f258]) ).

fof(f26,plain,
    ( ~ c1_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_10
    | spl0_17 ),
    inference(avatar_split_clause,[],[f27,f294,f269]) ).

fof(f269,plain,
    ( spl0_10
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f294,plain,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_10
    | spl0_145 ),
    inference(avatar_split_clause,[],[f28,f859,f269]) ).

fof(f28,plain,
    ( c0_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_10
    | spl0_144 ),
    inference(avatar_split_clause,[],[f29,f855,f269]) ).

fof(f29,plain,
    ( c1_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_10
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f30,f851,f269]) ).

fof(f30,plain,
    ( ~ c2_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_26
    | spl0_142 ),
    inference(avatar_split_clause,[],[f32,f846,f326]) ).

fof(f326,plain,
    ( spl0_26
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f32,plain,
    ( c1_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f844,plain,
    ( ~ spl0_26
    | spl0_141 ),
    inference(avatar_split_clause,[],[f33,f842,f326]) ).

fof(f33,plain,
    ( c2_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f840,plain,
    ( ~ spl0_26
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f34,f838,f326]) ).

fof(f34,plain,
    ( ~ c0_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f834,plain,
    ( ~ spl0_8
    | spl0_139 ),
    inference(avatar_split_clause,[],[f36,f832,f262]) ).

fof(f262,plain,
    ( spl0_8
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f36,plain,
    ( c1_1(a108)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_8
    | spl0_138 ),
    inference(avatar_split_clause,[],[f37,f828,f262]) ).

fof(f37,plain,
    ( c3_1(a108)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_8
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f38,f824,f262]) ).

fof(f38,plain,
    ( ~ c0_1(a108)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f820,plain,
    ( ~ spl0_4
    | spl0_136 ),
    inference(avatar_split_clause,[],[f40,f818,f248]) ).

fof(f248,plain,
    ( spl0_4
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f40,plain,
    ( c1_1(a109)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_4
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f41,f814,f248]) ).

fof(f41,plain,
    ( ~ c0_1(a109)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f812,plain,
    ( ~ spl0_4
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f42,f810,f248]) ).

fof(f42,plain,
    ( ~ c3_1(a109)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_11
    | spl0_133 ),
    inference(avatar_split_clause,[],[f44,f804,f272]) ).

fof(f272,plain,
    ( spl0_11
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f44,plain,
    ( c2_1(a110)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f802,plain,
    ( ~ spl0_11
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f45,f800,f272]) ).

fof(f45,plain,
    ( ~ c1_1(a110)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_11
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f46,f796,f272]) ).

fof(f46,plain,
    ( ~ c3_1(a110)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f48,f791,f353]) ).

fof(f353,plain,
    ( spl0_33
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f48,plain,
    ( ~ c0_1(a111)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_33
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f49,f787,f353]) ).

fof(f49,plain,
    ( ~ c2_1(a111)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f785,plain,
    ( ~ spl0_33
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f50,f783,f353]) ).

fof(f50,plain,
    ( ~ c3_1(a111)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f779,plain,
    ( ~ spl0_6
    | spl0_127 ),
    inference(avatar_split_clause,[],[f52,f777,f255]) ).

fof(f255,plain,
    ( spl0_6
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f52,plain,
    ( c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f775,plain,
    ( ~ spl0_6
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f53,f773,f255]) ).

fof(f53,plain,
    ( ~ c2_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f54,f769,f255]) ).

fof(f54,plain,
    ( ~ c3_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( ~ spl0_29
    | spl0_124 ),
    inference(avatar_split_clause,[],[f56,f764,f338]) ).

fof(f338,plain,
    ( spl0_29
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f56,plain,
    ( c3_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_29
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f57,f760,f338]) ).

fof(f57,plain,
    ( ~ c0_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f758,plain,
    ( ~ spl0_29
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f58,f756,f338]) ).

fof(f58,plain,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f753,plain,
    ( ~ spl0_14
    | spl0_17 ),
    inference(avatar_split_clause,[],[f59,f294,f283]) ).

fof(f283,plain,
    ( spl0_14
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f59,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_14
    | spl0_121 ),
    inference(avatar_split_clause,[],[f60,f750,f283]) ).

fof(f60,plain,
    ( c1_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_14
    | spl0_120 ),
    inference(avatar_split_clause,[],[f61,f746,f283]) ).

fof(f61,plain,
    ( c2_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_14
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f62,f742,f283]) ).

fof(f62,plain,
    ( ~ c3_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( ~ spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f67,f294,f280]) ).

fof(f280,plain,
    ( spl0_13
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

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

fof(f725,plain,
    ( ~ spl0_13
    | spl0_115 ),
    inference(avatar_split_clause,[],[f68,f723,f280]) ).

fof(f68,plain,
    ( c0_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f721,plain,
    ( ~ spl0_13
    | spl0_114 ),
    inference(avatar_split_clause,[],[f69,f719,f280]) ).

fof(f69,plain,
    ( c3_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_13
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f70,f715,f280]) ).

fof(f70,plain,
    ( ~ c1_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_38
    | spl0_109 ),
    inference(avatar_split_clause,[],[f76,f696,f374]) ).

fof(f374,plain,
    ( spl0_38
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f76,plain,
    ( c3_1(a132)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f694,plain,
    ( ~ spl0_38
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f77,f692,f374]) ).

fof(f77,plain,
    ( ~ c0_1(a132)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_38
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f78,f688,f374]) ).

fof(f78,plain,
    ( ~ c1_1(a132)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_46
    | spl0_106 ),
    inference(avatar_split_clause,[],[f80,f683,f406]) ).

fof(f406,plain,
    ( spl0_46
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f80,plain,
    ( c0_1(a134)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_46
    | spl0_105 ),
    inference(avatar_split_clause,[],[f81,f679,f406]) ).

fof(f81,plain,
    ( c3_1(a134)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_46
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f82,f675,f406]) ).

fof(f82,plain,
    ( ~ c2_1(a134)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_20
    | spl0_103 ),
    inference(avatar_split_clause,[],[f84,f670,f304]) ).

fof(f304,plain,
    ( spl0_20
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f84,plain,
    ( c0_1(a135)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f668,plain,
    ( ~ spl0_20
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f85,f666,f304]) ).

fof(f85,plain,
    ( ~ c2_1(a135)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_20
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f86,f662,f304]) ).

fof(f86,plain,
    ( ~ c3_1(a135)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( ~ spl0_36
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f96,f631,f367]) ).

fof(f367,plain,
    ( spl0_36
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f96,plain,
    ( ~ c0_1(a145)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f629,plain,
    ( ~ spl0_36
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f97,f627,f367]) ).

fof(f97,plain,
    ( ~ c1_1(a145)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f625,plain,
    ( ~ spl0_36
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f98,f623,f367]) ).

fof(f98,plain,
    ( ~ c2_1(a145)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_3
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f104,f604,f244]) ).

fof(f244,plain,
    ( spl0_3
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f104,plain,
    ( ~ c1_1(a163)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_3
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f105,f600,f244]) ).

fof(f105,plain,
    ( ~ c2_1(a163)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f598,plain,
    ( ~ spl0_3
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f106,f596,f244]) ).

fof(f106,plain,
    ( ~ c3_1(a163)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_1
    | spl0_85 ),
    inference(avatar_split_clause,[],[f108,f590,f238]) ).

fof(f238,plain,
    ( spl0_1
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f108,plain,
    ( c1_1(a167)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_1
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f109,f586,f238]) ).

fof(f109,plain,
    ( ~ c0_1(a167)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( ~ spl0_1
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f582,f238]) ).

fof(f110,plain,
    ( ~ c2_1(a167)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f578,plain,
    ( ~ spl0_5
    | spl0_82 ),
    inference(avatar_split_clause,[],[f112,f576,f252]) ).

fof(f252,plain,
    ( spl0_5
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f112,plain,
    ( c0_1(a187)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_5
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f113,f572,f252]) ).

fof(f113,plain,
    ( ~ c1_1(a187)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_5
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f114,f568,f252]) ).

fof(f114,plain,
    ( ~ c2_1(a187)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( ~ spl0_35
    | spl0_76 ),
    inference(avatar_split_clause,[],[f120,f549,f361]) ).

fof(f361,plain,
    ( spl0_35
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f120,plain,
    ( c1_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( ~ spl0_35
    | spl0_75 ),
    inference(avatar_split_clause,[],[f121,f545,f361]) ).

fof(f121,plain,
    ( c2_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( ~ spl0_35
    | spl0_74 ),
    inference(avatar_split_clause,[],[f122,f541,f361]) ).

fof(f122,plain,
    ( c3_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( ~ spl0_28
    | spl0_73 ),
    inference(avatar_split_clause,[],[f124,f536,f334]) ).

fof(f334,plain,
    ( spl0_28
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f124,plain,
    ( c0_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( ~ spl0_28
    | spl0_72 ),
    inference(avatar_split_clause,[],[f125,f532,f334]) ).

fof(f125,plain,
    ( c1_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( ~ spl0_28
    | spl0_71 ),
    inference(avatar_split_clause,[],[f126,f528,f334]) ).

fof(f126,plain,
    ( c2_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f524,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f128,f522,f290]) ).

fof(f290,plain,
    ( spl0_16
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f128,plain,
    ( c0_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f129,f518,f290]) ).

fof(f129,plain,
    ( c2_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( ~ spl0_16
    | spl0_68 ),
    inference(avatar_split_clause,[],[f130,f514,f290]) ).

fof(f130,plain,
    ( c3_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f509,plain,
    ( ~ spl0_15
    | spl0_67 ),
    inference(avatar_split_clause,[],[f132,f507,f287]) ).

fof(f287,plain,
    ( spl0_15
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f132,plain,
    ( c0_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( ~ spl0_15
    | spl0_66 ),
    inference(avatar_split_clause,[],[f133,f503,f287]) ).

fof(f133,plain,
    ( c1_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( ~ spl0_15
    | spl0_65 ),
    inference(avatar_split_clause,[],[f134,f499,f287]) ).

fof(f134,plain,
    ( c3_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f496,plain,
    ( spl0_63
    | spl0_61
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f203,f297,f294,f476,f487]) ).

fof(f203,plain,
    ! [X101,X102,X103] :
      ( ~ c3_1(X101)
      | ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | ~ c2_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | c2_1(X103)
      | c1_1(X103)
      | c0_1(X103) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X101,X102,X103] :
      ( ~ c3_1(X101)
      | ~ c2_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | ~ c2_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0
      | c2_1(X103)
      | c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_63
    | ~ spl0_17
    | spl0_60
    | spl0_9 ),
    inference(avatar_split_clause,[],[f204,f265,f468,f294,f487]) ).

fof(f204,plain,
    ! [X99,X100] :
      ( hskp0
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | c1_1(X100)
      | c0_1(X100) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X99,X100] :
      ( hskp0
      | ~ c3_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | c1_1(X100)
      | c0_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_63
    | ~ spl0_17
    | spl0_50
    | spl0_24 ),
    inference(avatar_split_clause,[],[f205,f319,f425,f294,f487]) ).

fof(f205,plain,
    ! [X98,X97] :
      ( hskp1
      | ~ c3_1(X97)
      | ~ c2_1(X97)
      | c0_1(X97)
      | ~ ndr1_0
      | c2_1(X98)
      | c1_1(X98)
      | c0_1(X98) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X98,X97] :
      ( hskp1
      | ~ c3_1(X97)
      | ~ c2_1(X97)
      | c0_1(X97)
      | ~ ndr1_0
      | c2_1(X98)
      | c1_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f485,plain,
    ( spl0_62
    | spl0_53
    | ~ spl0_17
    | spl0_42 ),
    inference(avatar_split_clause,[],[f207,f389,f294,f438,f480]) ).

fof(f207,plain,
    ! [X91,X92,X93] :
      ( ~ c2_1(X91)
      | ~ c0_1(X91)
      | c3_1(X91)
      | ~ ndr1_0
      | ~ c2_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | c3_1(X93)
      | c1_1(X93)
      | c0_1(X93) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X91,X92,X93] :
      ( ~ c2_1(X91)
      | ~ c0_1(X91)
      | c3_1(X91)
      | ~ ndr1_0
      | ~ c2_1(X92)
      | c3_1(X92)
      | c0_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | c1_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( ~ spl0_17
    | spl0_62
    | spl0_10 ),
    inference(avatar_split_clause,[],[f141,f269,f480,f294]) ).

fof(f141,plain,
    ! [X90] :
      ( hskp5
      | c3_1(X90)
      | c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( ~ spl0_17
    | spl0_62
    | spl0_26
    | spl0_8 ),
    inference(avatar_split_clause,[],[f142,f262,f326,f480,f294]) ).

fof(f142,plain,
    ! [X89] :
      ( hskp7
      | hskp6
      | c3_1(X89)
      | c1_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( ~ spl0_17
    | spl0_62
    | spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f143,f272,f248,f480,f294]) ).

fof(f143,plain,
    ! [X88] :
      ( hskp9
      | hskp8
      | c3_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f478,plain,
    ( spl0_61
    | ~ spl0_17
    | spl0_55
    | spl0_33 ),
    inference(avatar_split_clause,[],[f208,f353,f446,f294,f476]) ).

fof(f208,plain,
    ! [X86,X87] :
      ( hskp10
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | ~ c2_1(X87)
      | c1_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X86,X87] :
      ( hskp10
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | ~ c2_1(X87)
      | c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( spl0_60
    | spl0_56
    | ~ spl0_17
    | spl0_55 ),
    inference(avatar_split_clause,[],[f209,f446,f294,f452,f468]) ).

fof(f209,plain,
    ! [X83,X84,X85] :
      ( ~ c3_1(X83)
      | ~ c1_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X83,X84,X85] :
      ( ~ c3_1(X83)
      | ~ c1_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f473,plain,
    ( spl0_60
    | spl0_47
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f210,f330,f294,f411,f468]) ).

fof(f210,plain,
    ! [X82,X80,X81] :
      ( ~ c1_1(X80)
      | ~ c0_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | c2_1(X81)
      | c1_1(X81)
      | ~ c3_1(X82)
      | c1_1(X82)
      | c0_1(X82) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X82,X80,X81] :
      ( ~ c1_1(X80)
      | ~ c0_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | c2_1(X81)
      | c1_1(X81)
      | ~ ndr1_0
      | ~ c3_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_60
    | ~ spl0_17
    | spl0_42
    | spl0_29 ),
    inference(avatar_split_clause,[],[f212,f338,f389,f294,f468]) ).

fof(f212,plain,
    ! [X76,X77] :
      ( hskp12
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c1_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X76,X77] :
      ( hskp12
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_60
    | spl0_19
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f213,f297,f294,f301,f468]) ).

fof(f213,plain,
    ! [X73,X74,X75] :
      ( ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | ~ c3_1(X75)
      | c1_1(X75)
      | c0_1(X75) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X73,X74,X75] :
      ( ~ c3_1(X73)
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | ~ c3_1(X75)
      | c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_59
    | ~ spl0_17
    | spl0_55
    | spl0_14 ),
    inference(avatar_split_clause,[],[f214,f283,f446,f294,f464]) ).

fof(f214,plain,
    ! [X72,X71] :
      ( hskp13
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c2_1(X72)
      | c0_1(X72) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X72,X71] :
      ( hskp13
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f462,plain,
    ( spl0_58
    | ~ spl0_17
    | spl0_48
    | spl0_26 ),
    inference(avatar_split_clause,[],[f215,f326,f417,f294,f460]) ).

fof(f215,plain,
    ! [X70,X69] :
      ( hskp6
      | ~ c3_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | c2_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X70,X69] :
      ( hskp6
      | ~ c3_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( ~ spl0_17
    | spl0_56
    | spl0_13
    | spl0_35 ),
    inference(avatar_split_clause,[],[f153,f361,f280,f452,f294]) ).

fof(f153,plain,
    ! [X66] :
      ( hskp28
      | hskp15
      | ~ c3_1(X66)
      | c2_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_54
    | spl0_48
    | ~ spl0_17
    | spl0_32 ),
    inference(avatar_split_clause,[],[f217,f350,f294,f417,f442]) ).

fof(f217,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c0_1(X63)
      | c1_1(X63)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | c2_1(X64)
      | c1_1(X64)
      | ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X65,X63,X64] :
      ( ~ c3_1(X63)
      | ~ c0_1(X63)
      | c1_1(X63)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | c2_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( spl0_54
    | spl0_31
    | ~ spl0_17
    | spl0_21 ),
    inference(avatar_split_clause,[],[f218,f308,f294,f346,f442]) ).

fof(f218,plain,
    ! [X62,X60,X61] :
      ( ~ c2_1(X60)
      | ~ c1_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | c3_1(X61)
      | c2_1(X61)
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X62,X60,X61] :
      ( ~ c2_1(X60)
      | ~ c1_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | c3_1(X61)
      | c2_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( ~ spl0_17
    | spl0_53
    | spl0_13
    | spl0_9 ),
    inference(avatar_split_clause,[],[f158,f265,f280,f438,f294]) ).

fof(f158,plain,
    ! [X56] :
      ( hskp0
      | hskp15
      | ~ c2_1(X56)
      | c3_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_17
    | spl0_50
    | spl0_28
    | spl0_6 ),
    inference(avatar_split_clause,[],[f162,f255,f334,f425,f294]) ).

fof(f162,plain,
    ! [X50] :
      ( hskp11
      | hskp29
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_49
    | spl0_31
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f222,f297,f294,f346,f421]) ).

fof(f222,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c2_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c3_1(X48)
      | c2_1(X48)
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X48,X49,X47] :
      ( ~ c3_1(X47)
      | ~ c2_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | c3_1(X48)
      | c2_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( spl0_47
    | ~ spl0_17
    | spl0_27
    | spl0_38 ),
    inference(avatar_split_clause,[],[f225,f374,f330,f294,f411]) ).

fof(f225,plain,
    ! [X41,X42] :
      ( hskp17
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | c2_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X41,X42] :
      ( hskp17
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | c2_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( spl0_45
    | spl0_23
    | ~ spl0_17
    | spl0_19 ),
    inference(avatar_split_clause,[],[f227,f301,f294,f316,f403]) ).

fof(f227,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | ~ c1_1(X37)
      | c2_1(X37)
      | ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X38,X36,X37] :
      ( ~ c3_1(X36)
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | ~ ndr1_0
      | ~ c3_1(X37)
      | ~ c1_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_45
    | ~ spl0_17
    | spl0_21
    | spl0_46 ),
    inference(avatar_split_clause,[],[f228,f406,f308,f294,f403]) ).

fof(f228,plain,
    ! [X34,X35] :
      ( hskp18
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X34,X35] :
      ( hskp18
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f401,plain,
    ( ~ spl0_17
    | spl0_44
    | spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f170,f374,f304,f398,f294]) ).

fof(f170,plain,
    ! [X33] :
      ( hskp17
      | hskp19
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f400,plain,
    ( ~ spl0_17
    | spl0_44
    | spl0_35
    | spl0_38 ),
    inference(avatar_split_clause,[],[f171,f374,f361,f398,f294]) ).

fof(f171,plain,
    ! [X32] :
      ( hskp17
      | hskp28
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f392,plain,
    ( spl0_39
    | spl0_27
    | ~ spl0_17
    | spl0_25 ),
    inference(avatar_split_clause,[],[f230,f323,f294,f330,f378]) ).

fof(f230,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c0_1(X27)
      | c2_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ c2_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X28,X29,X27] :
      ( ~ c3_1(X27)
      | ~ c0_1(X27)
      | c2_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ c2_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( spl0_39
    | ~ spl0_17
    | spl0_42
    | spl0_38 ),
    inference(avatar_split_clause,[],[f231,f374,f389,f294,f378]) ).

fof(f231,plain,
    ! [X26,X25] :
      ( hskp17
      | ~ c2_1(X25)
      | ~ c0_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X26,X25] :
      ( hskp17
      | ~ c2_1(X25)
      | ~ c0_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( spl0_32
    | ~ spl0_17
    | spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f233,f374,f371,f294,f350]) ).

fof(f233,plain,
    ! [X21,X20] :
      ( hskp17
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X21,X20] :
      ( hskp17
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( spl0_32
    | ~ spl0_17
    | spl0_22
    | spl0_36 ),
    inference(avatar_split_clause,[],[f234,f367,f312,f294,f350]) ).

fof(f234,plain,
    ! [X18,X19] :
      ( hskp22
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X18,X19] :
      ( hskp22
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_15
    | spl0_35 ),
    inference(avatar_split_clause,[],[f179,f361,f287,f350,f294]) ).

fof(f179,plain,
    ! [X17] :
      ( hskp28
      | hskp31
      | ~ c3_1(X17)
      | ~ c0_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f364,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_13
    | spl0_35 ),
    inference(avatar_split_clause,[],[f180,f361,f280,f350,f294]) ).

fof(f180,plain,
    ! [X16] :
      ( hskp28
      | hskp15
      | ~ c3_1(X16)
      | ~ c0_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f363,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_35
    | spl0_6 ),
    inference(avatar_split_clause,[],[f181,f255,f361,f350,f294]) ).

fof(f181,plain,
    ! [X15] :
      ( hskp11
      | hskp28
      | ~ c3_1(X15)
      | ~ c0_1(X15)
      | c1_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f344,plain,
    ( ~ spl0_17
    | spl0_30
    | spl0_20 ),
    inference(avatar_split_clause,[],[f185,f304,f342,f294]) ).

fof(f185,plain,
    ! [X11] :
      ( hskp19
      | ~ c1_1(X11)
      | c3_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( spl0_27
    | ~ spl0_17
    | spl0_21
    | spl0_29 ),
    inference(avatar_split_clause,[],[f235,f338,f308,f294,f330]) ).

fof(f235,plain,
    ! [X10,X9] :
      ( hskp12
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X10,X9] :
      ( hskp12
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f332,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_24
    | spl0_3 ),
    inference(avatar_split_clause,[],[f188,f244,f319,f330,f294]) ).

fof(f188,plain,
    ! [X7] :
      ( hskp24
      | hskp1
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f321,plain,
    ( spl0_23
    | ~ spl0_17
    | spl0_19
    | spl0_24 ),
    inference(avatar_split_clause,[],[f236,f319,f301,f294,f316]) ).

fof(f236,plain,
    ! [X4,X5] :
      ( hskp1
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | c2_1(X5) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X4,X5] :
      ( hskp1
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f310,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f192,f258,f283,f308,f294]) ).

fof(f192,plain,
    ! [X2] :
      ( hskp4
      | hskp13
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f306,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_20
    | spl0_6 ),
    inference(avatar_split_clause,[],[f193,f255,f304,f301,f294]) ).

fof(f193,plain,
    ! [X1] :
      ( hskp11
      | hskp19
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( spl0_15
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f195,f244,f290,f287]) ).

fof(f195,plain,
    ( hskp24
    | hskp30
    | hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f285,plain,
    ( spl0_10
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f196,f283,f280,f269]) ).

fof(f196,plain,
    ( hskp13
    | hskp15
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f274,plain,
    ( spl0_10
    | spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f198,f272,f258,f269]) ).

fof(f198,plain,
    ( hskp9
    | hskp4
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f260,plain,
    ( spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f200,f258,f255,f252]) ).

fof(f200,plain,
    ( hskp4
    | hskp11
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f250,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f201,f248,f238]) ).

fof(f201,plain,
    ( hskp8
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN466+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 18:48:18 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.BmurvAKpoR/Vampire---4.8_4242
% 0.15/0.36  % (4418)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40  % (4421)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42  % (4420)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42  % (4419)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42  % (4423)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42  % (4422)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42  % (4425)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42  % (4424)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.43  % (4421)First to succeed.
% 0.21/0.44  % (4421)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for Vampire---4
% 0.21/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45  % (4421)------------------------------
% 0.21/0.45  % (4421)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45  % (4421)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45  % (4421)Termination reason: Refutation
% 0.21/0.45  
% 0.21/0.45  % (4421)Memory used [KB]: 7036
% 0.21/0.45  % (4421)Time elapsed: 0.039 s
% 0.21/0.45  % (4421)------------------------------
% 0.21/0.45  % (4421)------------------------------
% 0.21/0.45  % (4418)Success in time 0.083 s
% 0.21/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------