TSTP Solution File: SYN509+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN509+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:38:39 EDT 2022

% Result   : Theorem 1.69s 0.59s
% Output   : Refutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  122
% Syntax   : Number of formulae    :  501 (   1 unt;   0 def)
%            Number of atoms       : 6357 (   0 equ)
%            Maximal formula atoms :  799 (  12 avg)
%            Number of connectives : 8663 (2807   ~;3977   |;1218   &)
%                                         ( 121 <=>; 540  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  120 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  915 ( 915   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2339,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f267,f286,f291,f308,f313,f327,f332,f342,f355,f360,f370,f385,f390,f391,f409,f423,f433,f437,f446,f450,f455,f460,f465,f475,f480,f481,f495,f500,f511,f526,f531,f542,f551,f565,f569,f574,f585,f608,f619,f620,f631,f632,f637,f642,f647,f663,f667,f676,f681,f686,f691,f702,f712,f719,f720,f726,f742,f748,f754,f765,f783,f793,f799,f800,f814,f815,f831,f836,f837,f853,f855,f857,f868,f873,f883,f893,f898,f908,f909,f914,f919,f926,f931,f936,f938,f944,f949,f960,f965,f966,f971,f976,f977,f982,f994,f1002,f1006,f1009,f1020,f1034,f1038,f1045,f1056,f1080,f1081,f1125,f1139,f1148,f1205,f1210,f1215,f1216,f1235,f1236,f1259,f1265,f1288,f1289,f1296,f1311,f1335,f1337,f1395,f1500,f1501,f1575,f1576,f1596,f1621,f1623,f1632,f1633,f1665,f1686,f1689,f1698,f1699,f1701,f1722,f1763,f1786,f1788,f1790,f1822,f1865,f1926,f1928,f1931,f1997,f2048,f2076,f2109,f2110,f2112,f2332,f2333,f2337]) ).

fof(f2337,plain,
    ( spl0_93
    | spl0_138
    | ~ spl0_80
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2329,f751,f567,f890,f634]) ).

fof(f634,plain,
    ( spl0_93
  <=> c1_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f890,plain,
    ( spl0_138
  <=> c0_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f567,plain,
    ( spl0_80
  <=> ! [X115] :
        ( c1_1(X115)
        | ~ c3_1(X115)
        | c0_1(X115) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f751,plain,
    ( spl0_114
  <=> c3_1(a454) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2329,plain,
    ( c0_1(a454)
    | c1_1(a454)
    | ~ spl0_80
    | ~ spl0_114 ),
    inference(resolution,[],[f568,f753]) ).

fof(f753,plain,
    ( c3_1(a454)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f568,plain,
    ( ! [X115] :
        ( ~ c3_1(X115)
        | c0_1(X115)
        | c1_1(X115) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f2333,plain,
    ( spl0_144
    | spl0_81
    | ~ spl0_80
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2323,f1371,f567,f571,f923]) ).

fof(f923,plain,
    ( spl0_144
  <=> c1_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f571,plain,
    ( spl0_81
  <=> c0_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1371,plain,
    ( spl0_177
  <=> c3_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f2323,plain,
    ( c0_1(a433)
    | c1_1(a433)
    | ~ spl0_80
    | ~ spl0_177 ),
    inference(resolution,[],[f568,f1372]) ).

fof(f1372,plain,
    ( c3_1(a433)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1371]) ).

fof(f2332,plain,
    ( spl0_168
    | spl0_119
    | ~ spl0_80
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2325,f946,f567,f780,f1145]) ).

fof(f1145,plain,
    ( spl0_168
  <=> c0_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f780,plain,
    ( spl0_119
  <=> c1_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f946,plain,
    ( spl0_148
  <=> c3_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2325,plain,
    ( c1_1(a443)
    | c0_1(a443)
    | ~ spl0_80
    | ~ spl0_148 ),
    inference(resolution,[],[f568,f948]) ).

fof(f948,plain,
    ( c3_1(a443)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f2112,plain,
    ( ~ spl0_163
    | ~ spl0_98
    | ~ spl0_7
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1874,f880,f236,f660,f1076]) ).

fof(f1076,plain,
    ( spl0_163
  <=> c0_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f660,plain,
    ( spl0_98
  <=> c3_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f236,plain,
    ( spl0_7
  <=> ! [X98] :
        ( ~ c0_1(X98)
        | ~ c3_1(X98)
        | ~ c1_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f880,plain,
    ( spl0_136
  <=> c1_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1874,plain,
    ( ~ c3_1(a457)
    | ~ c0_1(a457)
    | ~ spl0_7
    | ~ spl0_136 ),
    inference(resolution,[],[f237,f882]) ).

fof(f882,plain,
    ( c1_1(a457)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f237,plain,
    ( ! [X98] :
        ( ~ c1_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f2110,plain,
    ( ~ spl0_156
    | ~ spl0_182
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2009,f506,f402,f1629,f991]) ).

fof(f991,plain,
    ( spl0_156
  <=> c3_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1629,plain,
    ( spl0_182
  <=> c0_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f402,plain,
    ( spl0_45
  <=> c2_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f506,plain,
    ( spl0_67
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | ~ c0_1(X8)
        | ~ c2_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2009,plain,
    ( ~ c0_1(a447)
    | ~ c3_1(a447)
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(resolution,[],[f507,f404]) ).

fof(f404,plain,
    ( c2_1(a447)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f507,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | ~ c0_1(X8)
        | ~ c3_1(X8) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f2109,plain,
    ( spl0_152
    | spl0_119
    | ~ spl0_5
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2108,f946,f230,f780,f968]) ).

fof(f968,plain,
    ( spl0_152
  <=> c2_1(a443) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f230,plain,
    ( spl0_5
  <=> ! [X97] :
        ( ~ c3_1(X97)
        | c2_1(X97)
        | c1_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2108,plain,
    ( c1_1(a443)
    | c2_1(a443)
    | ~ spl0_5
    | ~ spl0_148 ),
    inference(resolution,[],[f948,f231]) ).

fof(f231,plain,
    ( ! [X97] :
        ( ~ c3_1(X97)
        | c1_1(X97)
        | c2_1(X97) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f2076,plain,
    ( spl0_112
    | spl0_171
    | ~ spl0_75
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2035,f979,f544,f1207,f739]) ).

fof(f739,plain,
    ( spl0_112
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1207,plain,
    ( spl0_171
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f544,plain,
    ( spl0_75
  <=> ! [X58] :
        ( c3_1(X58)
        | ~ c0_1(X58)
        | c1_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f979,plain,
    ( spl0_154
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f2035,plain,
    ( c3_1(a463)
    | c1_1(a463)
    | ~ spl0_75
    | ~ spl0_154 ),
    inference(resolution,[],[f545,f981]) ).

fof(f981,plain,
    ( c0_1(a463)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f545,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | c3_1(X58)
        | c1_1(X58) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f2048,plain,
    ( spl0_94
    | spl0_131
    | ~ spl0_4
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2027,f544,f225,f850,f639]) ).

fof(f639,plain,
    ( spl0_94
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f850,plain,
    ( spl0_131
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f225,plain,
    ( spl0_4
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2027,plain,
    ( c1_1(a434)
    | c3_1(a434)
    | ~ spl0_4
    | ~ spl0_75 ),
    inference(resolution,[],[f545,f227]) ).

fof(f227,plain,
    ( c0_1(a434)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f1997,plain,
    ( spl0_139
    | ~ spl0_54
    | ~ spl0_55
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1983,f1662,f448,f443,f895]) ).

fof(f895,plain,
    ( spl0_139
  <=> c2_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f443,plain,
    ( spl0_54
  <=> c0_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f448,plain,
    ( spl0_55
  <=> ! [X79] :
        ( c2_1(X79)
        | ~ c0_1(X79)
        | ~ c1_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1662,plain,
    ( spl0_183
  <=> c1_1(a441) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1983,plain,
    ( ~ c0_1(a441)
    | c2_1(a441)
    | ~ spl0_55
    | ~ spl0_183 ),
    inference(resolution,[],[f449,f1664]) ).

fof(f1664,plain,
    ( c1_1(a441)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1662]) ).

fof(f449,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | ~ c0_1(X79)
        | c2_1(X79) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f1931,plain,
    ( spl0_182
    | ~ spl0_156
    | ~ spl0_30
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1831,f402,f334,f991,f1629]) ).

fof(f334,plain,
    ( spl0_30
  <=> ! [X70] :
        ( c0_1(X70)
        | ~ c2_1(X70)
        | ~ c3_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1831,plain,
    ( ~ c3_1(a447)
    | c0_1(a447)
    | ~ spl0_30
    | ~ spl0_45 ),
    inference(resolution,[],[f404,f335]) ).

fof(f335,plain,
    ( ! [X70] :
        ( ~ c2_1(X70)
        | c0_1(X70)
        | ~ c3_1(X70) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f1928,plain,
    ( spl0_127
    | spl0_28
    | ~ spl0_68
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1915,f678,f509,f324,f828]) ).

fof(f828,plain,
    ( spl0_127
  <=> c3_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f324,plain,
    ( spl0_28
  <=> c0_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f509,plain,
    ( spl0_68
  <=> ! [X9] :
        ( c0_1(X9)
        | c1_1(X9)
        | c3_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f678,plain,
    ( spl0_101
  <=> c1_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1915,plain,
    ( c0_1(a445)
    | c3_1(a445)
    | ~ spl0_68
    | spl0_101 ),
    inference(resolution,[],[f510,f680]) ).

fof(f680,plain,
    ( ~ c1_1(a445)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f510,plain,
    ( ! [X9] :
        ( c1_1(X9)
        | c0_1(X9)
        | c3_1(X9) )
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1926,plain,
    ( spl0_177
    | spl0_81
    | ~ spl0_68
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1909,f923,f509,f571,f1371]) ).

fof(f1909,plain,
    ( c0_1(a433)
    | c3_1(a433)
    | ~ spl0_68
    | spl0_144 ),
    inference(resolution,[],[f510,f925]) ).

fof(f925,plain,
    ( ~ c1_1(a433)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f1865,plain,
    ( ~ spl0_45
    | ~ spl0_156
    | ~ spl0_22
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1863,f745,f297,f991,f402]) ).

fof(f297,plain,
    ( spl0_22
  <=> ! [X29] :
        ( ~ c3_1(X29)
        | ~ c2_1(X29)
        | ~ c1_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f745,plain,
    ( spl0_113
  <=> c1_1(a447) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1863,plain,
    ( ~ c3_1(a447)
    | ~ c2_1(a447)
    | ~ spl0_22
    | ~ spl0_113 ),
    inference(resolution,[],[f298,f747]) ).

fof(f747,plain,
    ( c1_1(a447)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f298,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | ~ c2_1(X29)
        | ~ c3_1(X29) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f1822,plain,
    ( spl0_83
    | ~ spl0_102
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1819,f420,f334,f683,f582]) ).

fof(f582,plain,
    ( spl0_83
  <=> c0_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f683,plain,
    ( spl0_102
  <=> c3_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f420,plain,
    ( spl0_49
  <=> c2_1(a489) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1819,plain,
    ( ~ c3_1(a489)
    | c0_1(a489)
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(resolution,[],[f335,f422]) ).

fof(f422,plain,
    ( c2_1(a489)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f1790,plain,
    ( ~ spl0_146
    | spl0_174
    | ~ spl0_6
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1780,f911,f233,f1308,f933]) ).

fof(f933,plain,
    ( spl0_146
  <=> c0_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1308,plain,
    ( spl0_174
  <=> c3_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f233,plain,
    ( spl0_6
  <=> ! [X96] :
        ( ~ c0_1(X96)
        | c3_1(X96)
        | ~ c1_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f911,plain,
    ( spl0_142
  <=> c1_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1780,plain,
    ( c3_1(a452)
    | ~ c0_1(a452)
    | ~ spl0_6
    | ~ spl0_142 ),
    inference(resolution,[],[f234,f913]) ).

fof(f913,plain,
    ( c1_1(a452)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f234,plain,
    ( ! [X96] :
        ( ~ c1_1(X96)
        | ~ c0_1(X96)
        | c3_1(X96) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f1788,plain,
    ( spl0_179
    | ~ spl0_56
    | ~ spl0_6
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1785,f430,f233,f452,f1392]) ).

fof(f1392,plain,
    ( spl0_179
  <=> c3_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f452,plain,
    ( spl0_56
  <=> c0_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f430,plain,
    ( spl0_51
  <=> c1_1(a456) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1785,plain,
    ( ~ c0_1(a456)
    | c3_1(a456)
    | ~ spl0_6
    | ~ spl0_51 ),
    inference(resolution,[],[f234,f432]) ).

fof(f432,plain,
    ( c1_1(a456)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1786,plain,
    ( ~ spl0_65
    | spl0_128
    | ~ spl0_6
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1777,f1202,f233,f833,f497]) ).

fof(f497,plain,
    ( spl0_65
  <=> c0_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f833,plain,
    ( spl0_128
  <=> c3_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1202,plain,
    ( spl0_170
  <=> c1_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1777,plain,
    ( c3_1(a442)
    | ~ c0_1(a442)
    | ~ spl0_6
    | ~ spl0_170 ),
    inference(resolution,[],[f234,f1204]) ).

fof(f1204,plain,
    ( c1_1(a442)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1763,plain,
    ( spl0_101
    | spl0_28
    | ~ spl0_53
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1753,f1285,f439,f324,f678]) ).

fof(f439,plain,
    ( spl0_53
  <=> ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | c1_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1285,plain,
    ( spl0_173
  <=> c2_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1753,plain,
    ( c0_1(a445)
    | c1_1(a445)
    | ~ spl0_53
    | ~ spl0_173 ),
    inference(resolution,[],[f440,f1287]) ).

fof(f1287,plain,
    ( c2_1(a445)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1285]) ).

fof(f440,plain,
    ( ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | c1_1(X48) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1722,plain,
    ( spl0_127
    | spl0_28
    | ~ spl0_34
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1721,f1285,f348,f324,f828]) ).

fof(f348,plain,
    ( spl0_34
  <=> ! [X106] :
        ( c3_1(X106)
        | c0_1(X106)
        | ~ c2_1(X106) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1721,plain,
    ( c0_1(a445)
    | c3_1(a445)
    | ~ spl0_34
    | ~ spl0_173 ),
    inference(resolution,[],[f1287,f349]) ).

fof(f349,plain,
    ( ! [X106] :
        ( ~ c2_1(X106)
        | c3_1(X106)
        | c0_1(X106) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1701,plain,
    ( ~ spl0_148
    | spl0_152
    | ~ spl0_11
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1559,f1145,f252,f968,f946]) ).

fof(f252,plain,
    ( spl0_11
  <=> ! [X128] :
        ( ~ c3_1(X128)
        | c2_1(X128)
        | ~ c0_1(X128) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1559,plain,
    ( c2_1(a443)
    | ~ c3_1(a443)
    | ~ spl0_11
    | ~ spl0_168 ),
    inference(resolution,[],[f1147,f253]) ).

fof(f253,plain,
    ( ! [X128] :
        ( ~ c0_1(X128)
        | ~ c3_1(X128)
        | c2_1(X128) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f1147,plain,
    ( c0_1(a443)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1145]) ).

fof(f1699,plain,
    ( spl0_119
    | spl0_152
    | ~ spl0_19
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1558,f1145,f284,f968,f780]) ).

fof(f284,plain,
    ( spl0_19
  <=> ! [X88] :
        ( c1_1(X88)
        | ~ c0_1(X88)
        | c2_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1558,plain,
    ( c2_1(a443)
    | c1_1(a443)
    | ~ spl0_19
    | ~ spl0_168 ),
    inference(resolution,[],[f1147,f285]) ).

fof(f285,plain,
    ( ! [X88] :
        ( ~ c0_1(X88)
        | c2_1(X88)
        | c1_1(X88) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f1698,plain,
    ( spl0_158
    | spl0_109
    | ~ spl0_32
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1513,f644,f340,f723,f1017]) ).

fof(f1017,plain,
    ( spl0_158
  <=> c0_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f723,plain,
    ( spl0_109
  <=> c3_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f340,plain,
    ( spl0_32
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c0_1(X72)
        | c3_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f644,plain,
    ( spl0_95
  <=> c1_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1513,plain,
    ( c3_1(a484)
    | c0_1(a484)
    | ~ spl0_32
    | ~ spl0_95 ),
    inference(resolution,[],[f646,f341]) ).

fof(f341,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c3_1(X72)
        | c0_1(X72) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f646,plain,
    ( c1_1(a484)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1689,plain,
    ( ~ spl0_154
    | ~ spl0_171
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1678,f506,f352,f1207,f979]) ).

fof(f352,plain,
    ( spl0_35
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1678,plain,
    ( ~ c3_1(a463)
    | ~ c0_1(a463)
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(resolution,[],[f507,f354]) ).

fof(f354,plain,
    ( c2_1(a463)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1686,plain,
    ( ~ spl0_38
    | ~ spl0_72
    | ~ spl0_67
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1682,f865,f506,f528,f367]) ).

fof(f367,plain,
    ( spl0_38
  <=> c0_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f528,plain,
    ( spl0_72
  <=> c3_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f865,plain,
    ( spl0_133
  <=> c2_1(a437) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1682,plain,
    ( ~ c3_1(a437)
    | ~ c0_1(a437)
    | ~ spl0_67
    | ~ spl0_133 ),
    inference(resolution,[],[f507,f867]) ).

fof(f867,plain,
    ( c2_1(a437)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f1665,plain,
    ( spl0_139
    | spl0_183
    | ~ spl0_19
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1659,f443,f284,f1662,f895]) ).

fof(f1659,plain,
    ( c1_1(a441)
    | c2_1(a441)
    | ~ spl0_19
    | ~ spl0_54 ),
    inference(resolution,[],[f445,f285]) ).

fof(f445,plain,
    ( c0_1(a441)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f1633,plain,
    ( ~ spl0_156
    | ~ spl0_182
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1627,f745,f236,f1629,f991]) ).

fof(f1627,plain,
    ( ~ c0_1(a447)
    | ~ c3_1(a447)
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(resolution,[],[f747,f237]) ).

fof(f1632,plain,
    ( spl0_182
    | ~ spl0_45
    | ~ spl0_42
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1625,f745,f388,f402,f1629]) ).

fof(f388,plain,
    ( spl0_42
  <=> ! [X16] :
        ( c0_1(X16)
        | ~ c2_1(X16)
        | ~ c1_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1625,plain,
    ( ~ c2_1(a447)
    | c0_1(a447)
    | ~ spl0_42
    | ~ spl0_113 ),
    inference(resolution,[],[f747,f389]) ).

fof(f389,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | ~ c2_1(X16)
        | c0_1(X16) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1623,plain,
    ( spl0_60
    | ~ spl0_146
    | ~ spl0_55
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1614,f911,f448,f933,f472]) ).

fof(f472,plain,
    ( spl0_60
  <=> c2_1(a452) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1614,plain,
    ( ~ c0_1(a452)
    | c2_1(a452)
    | ~ spl0_55
    | ~ spl0_142 ),
    inference(resolution,[],[f449,f913]) ).

fof(f1621,plain,
    ( spl0_147
    | ~ spl0_158
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1616,f644,f448,f1017,f941]) ).

fof(f941,plain,
    ( spl0_147
  <=> c2_1(a484) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1616,plain,
    ( ~ c0_1(a484)
    | c2_1(a484)
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(resolution,[],[f449,f646]) ).

fof(f1596,plain,
    ( spl0_172
    | spl0_153
    | ~ spl0_53
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1582,f539,f439,f973,f1212]) ).

fof(f1212,plain,
    ( spl0_172
  <=> c1_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f973,plain,
    ( spl0_153
  <=> c0_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f539,plain,
    ( spl0_74
  <=> c2_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1582,plain,
    ( c0_1(a444)
    | c1_1(a444)
    | ~ spl0_53
    | ~ spl0_74 ),
    inference(resolution,[],[f440,f541]) ).

fof(f541,plain,
    ( c2_1(a444)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f1576,plain,
    ( spl0_143
    | ~ spl0_159
    | ~ spl0_42
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1568,f488,f388,f1031,f916]) ).

fof(f916,plain,
    ( spl0_143
  <=> c0_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1031,plain,
    ( spl0_159
  <=> c2_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f488,plain,
    ( spl0_63
  <=> c1_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1568,plain,
    ( ~ c2_1(a450)
    | c0_1(a450)
    | ~ spl0_42
    | ~ spl0_63 ),
    inference(resolution,[],[f389,f490]) ).

fof(f490,plain,
    ( c1_1(a450)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f1575,plain,
    ( spl0_153
    | ~ spl0_74
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1566,f1212,f388,f539,f973]) ).

fof(f1566,plain,
    ( ~ c2_1(a444)
    | c0_1(a444)
    | ~ spl0_42
    | ~ spl0_172 ),
    inference(resolution,[],[f389,f1214]) ).

fof(f1214,plain,
    ( c1_1(a444)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1212]) ).

fof(f1501,plain,
    ( spl0_153
    | spl0_57
    | ~ spl0_32
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1489,f1212,f340,f457,f973]) ).

fof(f457,plain,
    ( spl0_57
  <=> c3_1(a444) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1489,plain,
    ( c3_1(a444)
    | c0_1(a444)
    | ~ spl0_32
    | ~ spl0_172 ),
    inference(resolution,[],[f341,f1214]) ).

fof(f1500,plain,
    ( spl0_151
    | spl0_125
    | ~ spl0_32
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1486,f999,f340,f811,f962]) ).

fof(f962,plain,
    ( spl0_151
  <=> c0_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f811,plain,
    ( spl0_125
  <=> c3_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f999,plain,
    ( spl0_157
  <=> c1_1(a435) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1486,plain,
    ( c3_1(a435)
    | c0_1(a435)
    | ~ spl0_32
    | ~ spl0_157 ),
    inference(resolution,[],[f341,f1001]) ).

fof(f1001,plain,
    ( c1_1(a435)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1395,plain,
    ( ~ spl0_56
    | ~ spl0_179
    | ~ spl0_7
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1389,f430,f236,f1392,f452]) ).

fof(f1389,plain,
    ( ~ c3_1(a456)
    | ~ c0_1(a456)
    | ~ spl0_7
    | ~ spl0_51 ),
    inference(resolution,[],[f432,f237]) ).

fof(f1337,plain,
    ( spl0_100
    | spl0_81
    | ~ spl0_52
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1270,f923,f435,f571,f673]) ).

fof(f673,plain,
    ( spl0_100
  <=> c2_1(a433) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f435,plain,
    ( spl0_52
  <=> ! [X131] :
        ( c2_1(X131)
        | c0_1(X131)
        | c1_1(X131) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1270,plain,
    ( c0_1(a433)
    | c2_1(a433)
    | ~ spl0_52
    | spl0_144 ),
    inference(resolution,[],[f436,f925]) ).

fof(f436,plain,
    ( ! [X131] :
        ( c1_1(X131)
        | c0_1(X131)
        | c2_1(X131) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1335,plain,
    ( spl0_28
    | ~ spl0_18
    | ~ spl0_52
    | spl0_173 ),
    inference(avatar_split_clause,[],[f1323,f1285,f435,f281,f324]) ).

fof(f281,plain,
    ( spl0_18
  <=> ! [X87] :
        ( c2_1(X87)
        | ~ c1_1(X87)
        | c0_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1323,plain,
    ( c0_1(a445)
    | ~ spl0_18
    | ~ spl0_52
    | spl0_173 ),
    inference(resolution,[],[f1283,f1286]) ).

fof(f1286,plain,
    ( ~ c2_1(a445)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f1285]) ).

fof(f1283,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_18
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1268]) ).

fof(f1268,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_18
    | ~ spl0_52 ),
    inference(resolution,[],[f436,f282]) ).

fof(f282,plain,
    ( ! [X87] :
        ( ~ c1_1(X87)
        | c2_1(X87)
        | c0_1(X87) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1311,plain,
    ( ~ spl0_174
    | ~ spl0_146
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1304,f911,f236,f933,f1308]) ).

fof(f1304,plain,
    ( ~ c0_1(a452)
    | ~ c3_1(a452)
    | ~ spl0_7
    | ~ spl0_142 ),
    inference(resolution,[],[f913,f237]) ).

fof(f1296,plain,
    ( spl0_127
    | spl0_101
    | ~ spl0_29
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1295,f1285,f330,f678,f828]) ).

fof(f330,plain,
    ( spl0_29
  <=> ! [X95] :
        ( ~ c2_1(X95)
        | c1_1(X95)
        | c3_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1295,plain,
    ( c1_1(a445)
    | c3_1(a445)
    | ~ spl0_29
    | ~ spl0_173 ),
    inference(resolution,[],[f1287,f331]) ).

fof(f331,plain,
    ( ! [X95] :
        ( ~ c2_1(X95)
        | c1_1(X95)
        | c3_1(X95) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f1289,plain,
    ( spl0_168
    | spl0_152
    | ~ spl0_52
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1272,f780,f435,f968,f1145]) ).

fof(f1272,plain,
    ( c2_1(a443)
    | c0_1(a443)
    | ~ spl0_52
    | spl0_119 ),
    inference(resolution,[],[f436,f782]) ).

fof(f782,plain,
    ( ~ c1_1(a443)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1288,plain,
    ( spl0_28
    | spl0_173
    | ~ spl0_52
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1273,f678,f435,f1285,f324]) ).

fof(f1273,plain,
    ( c2_1(a445)
    | c0_1(a445)
    | ~ spl0_52
    | spl0_101 ),
    inference(resolution,[],[f436,f680]) ).

fof(f1265,plain,
    ( ~ spl0_107
    | spl0_150
    | ~ spl0_42
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1264,f477,f388,f957,f709]) ).

fof(f709,plain,
    ( spl0_107
  <=> c2_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f957,plain,
    ( spl0_150
  <=> c0_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f477,plain,
    ( spl0_61
  <=> c1_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1264,plain,
    ( c0_1(a486)
    | ~ c2_1(a486)
    | ~ spl0_42
    | ~ spl0_61 ),
    inference(resolution,[],[f389,f479]) ).

fof(f479,plain,
    ( c1_1(a486)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1259,plain,
    ( spl0_161
    | spl0_150
    | ~ spl0_32
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1258,f477,f340,f957,f1049]) ).

fof(f1049,plain,
    ( spl0_161
  <=> c3_1(a486) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1258,plain,
    ( c0_1(a486)
    | c3_1(a486)
    | ~ spl0_32
    | ~ spl0_61 ),
    inference(resolution,[],[f341,f479]) ).

fof(f1236,plain,
    ( ~ spl0_161
    | spl0_150
    | ~ spl0_30
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1233,f709,f334,f957,f1049]) ).

fof(f1233,plain,
    ( c0_1(a486)
    | ~ c3_1(a486)
    | ~ spl0_30
    | ~ spl0_107 ),
    inference(resolution,[],[f335,f711]) ).

fof(f711,plain,
    ( c2_1(a486)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1235,plain,
    ( ~ spl0_88
    | spl0_143
    | ~ spl0_30
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1229,f1031,f334,f916,f605]) ).

fof(f605,plain,
    ( spl0_88
  <=> c3_1(a450) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1229,plain,
    ( c0_1(a450)
    | ~ c3_1(a450)
    | ~ spl0_30
    | ~ spl0_159 ),
    inference(resolution,[],[f335,f1033]) ).

fof(f1033,plain,
    ( c2_1(a450)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1216,plain,
    ( spl0_25
    | spl0_145
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1194,f523,f330,f928,f310]) ).

fof(f310,plain,
    ( spl0_25
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f928,plain,
    ( spl0_145
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f523,plain,
    ( spl0_71
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1194,plain,
    ( c1_1(a449)
    | c3_1(a449)
    | ~ spl0_29
    | ~ spl0_71 ),
    inference(resolution,[],[f331,f525]) ).

fof(f525,plain,
    ( c2_1(a449)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1215,plain,
    ( spl0_57
    | spl0_172
    | ~ spl0_29
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1192,f539,f330,f1212,f457]) ).

fof(f1192,plain,
    ( c1_1(a444)
    | c3_1(a444)
    | ~ spl0_29
    | ~ spl0_74 ),
    inference(resolution,[],[f331,f541]) ).

fof(f1210,plain,
    ( spl0_171
    | spl0_112
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1198,f352,f330,f739,f1207]) ).

fof(f1198,plain,
    ( c1_1(a463)
    | c3_1(a463)
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(resolution,[],[f331,f354]) ).

fof(f1205,plain,
    ( spl0_128
    | spl0_170
    | ~ spl0_29
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1191,f870,f330,f1202,f833]) ).

fof(f870,plain,
    ( spl0_134
  <=> c2_1(a442) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1191,plain,
    ( c1_1(a442)
    | c3_1(a442)
    | ~ spl0_29
    | ~ spl0_134 ),
    inference(resolution,[],[f331,f872]) ).

fof(f872,plain,
    ( c2_1(a442)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f1148,plain,
    ( spl0_168
    | spl0_152
    | ~ spl0_31
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1143,f946,f337,f968,f1145]) ).

fof(f337,plain,
    ( spl0_31
  <=> ! [X71] :
        ( ~ c3_1(X71)
        | c0_1(X71)
        | c2_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1143,plain,
    ( c2_1(a443)
    | c0_1(a443)
    | ~ spl0_31
    | ~ spl0_148 ),
    inference(resolution,[],[f948,f338]) ).

fof(f338,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c2_1(X71)
        | c0_1(X71) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f1139,plain,
    ( spl0_58
    | spl0_103
    | ~ spl0_18
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1132,f790,f281,f688,f462]) ).

fof(f462,plain,
    ( spl0_58
  <=> c0_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f688,plain,
    ( spl0_103
  <=> c2_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f790,plain,
    ( spl0_121
  <=> c1_1(a448) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1132,plain,
    ( c2_1(a448)
    | c0_1(a448)
    | ~ spl0_18
    | ~ spl0_121 ),
    inference(resolution,[],[f792,f282]) ).

fof(f792,plain,
    ( c1_1(a448)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f1125,plain,
    ( spl0_57
    | spl0_153
    | ~ spl0_34
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1119,f539,f348,f973,f457]) ).

fof(f1119,plain,
    ( c0_1(a444)
    | c3_1(a444)
    | ~ spl0_34
    | ~ spl0_74 ),
    inference(resolution,[],[f349,f541]) ).

fof(f1081,plain,
    ( spl0_141
    | spl0_163
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1071,f880,f281,f1076,f905]) ).

fof(f905,plain,
    ( spl0_141
  <=> c2_1(a457) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1071,plain,
    ( c0_1(a457)
    | c2_1(a457)
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(resolution,[],[f882,f282]) ).

fof(f1080,plain,
    ( spl0_141
    | ~ spl0_98
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1072,f880,f273,f660,f905]) ).

fof(f273,plain,
    ( spl0_16
  <=> ! [X99] :
        ( ~ c1_1(X99)
        | c2_1(X99)
        | ~ c3_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1072,plain,
    ( ~ c3_1(a457)
    | c2_1(a457)
    | ~ spl0_16
    | ~ spl0_136 ),
    inference(resolution,[],[f882,f274]) ).

fof(f274,plain,
    ( ! [X99] :
        ( ~ c1_1(X99)
        | ~ c3_1(X99)
        | c2_1(X99) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f1056,plain,
    ( spl0_94
    | spl0_131
    | ~ spl0_29
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1055,f1042,f330,f850,f639]) ).

fof(f1042,plain,
    ( spl0_160
  <=> c2_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1055,plain,
    ( c1_1(a434)
    | c3_1(a434)
    | ~ spl0_29
    | ~ spl0_160 ),
    inference(resolution,[],[f331,f1044]) ).

fof(f1044,plain,
    ( c2_1(a434)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1045,plain,
    ( spl0_160
    | spl0_131
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1039,f284,f225,f850,f1042]) ).

fof(f1039,plain,
    ( c1_1(a434)
    | c2_1(a434)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(resolution,[],[f285,f227]) ).

fof(f1038,plain,
    ( spl0_147
    | spl0_158
    | ~ spl0_18
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1037,f644,f281,f1017,f941]) ).

fof(f1037,plain,
    ( c0_1(a484)
    | c2_1(a484)
    | ~ spl0_18
    | ~ spl0_95 ),
    inference(resolution,[],[f282,f646]) ).

fof(f1034,plain,
    ( spl0_159
    | ~ spl0_88
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1028,f488,f273,f605,f1031]) ).

fof(f1028,plain,
    ( ~ c3_1(a450)
    | c2_1(a450)
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(resolution,[],[f274,f490]) ).

fof(f1020,plain,
    ( ~ spl0_158
    | spl0_109
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1015,f644,f233,f723,f1017]) ).

fof(f1015,plain,
    ( c3_1(a484)
    | ~ c0_1(a484)
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(resolution,[],[f234,f646]) ).

fof(f1009,plain,
    ( spl0_2
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f152,f415,f216]) ).

fof(f216,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f415,plain,
    ( spl0_48
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f152,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ~ hskp0
      | ( ~ c0_1(a432)
        & ~ c2_1(a432)
        & ndr1_0
        & c3_1(a432) ) )
    & ( hskp27
      | hskp26
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ c1_1(X42) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c3_1(a434)
        & c0_1(a434)
        & ~ c1_1(a434) ) )
    & ( hskp24
      | hskp3
      | hskp12 )
    & ( ! [X127] :
          ( ~ ndr1_0
          | ~ c2_1(X127)
          | ~ c0_1(X127)
          | ~ c1_1(X127) )
      | ! [X128] :
          ( ~ c3_1(X128)
          | ~ ndr1_0
          | ~ c0_1(X128)
          | c2_1(X128) )
      | hskp30 )
    & ( ( ndr1_0
        & ~ c2_1(a448)
        & c1_1(a448)
        & ~ c0_1(a448) )
      | ~ hskp10 )
    & ( ! [X40] :
          ( c2_1(X40)
          | ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c0_1(X40) )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39) )
      | ! [X41] :
          ( c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0
          | ~ c3_1(X41) ) )
    & ( hskp12
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ( ~ c0_1(a433)
        & ndr1_0
        & ~ c1_1(a433)
        & ~ c2_1(a433) )
      | ~ hskp1 )
    & ( hskp13
      | ! [X106] :
          ( c3_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0
          | c0_1(X106) )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0
          | c0_1(X105) ) )
    & ( ! [X75] :
          ( ~ c2_1(X75)
          | c1_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0
          | c2_1(X74) )
      | hskp24 )
    & ( ! [X11] :
          ( ~ c1_1(X11)
          | c0_1(X11)
          | ~ ndr1_0
          | ~ c3_1(X11) )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | hskp12
      | ! [X63] :
          ( c1_1(X63)
          | ~ c0_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449) ) )
    & ( hskp8
      | hskp9
      | ! [X107] :
          ( c1_1(X107)
          | ~ c3_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp25
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0
          | c1_1(X94) ) )
    & ( hskp0
      | hskp28
      | ! [X134] :
          ( c0_1(X134)
          | ~ c2_1(X134)
          | ~ ndr1_0
          | c1_1(X134) ) )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ ndr1_0
          | c0_1(X113)
          | ~ c1_1(X113) )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c2_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0
          | c3_1(X112) ) )
    & ( ! [X3] :
          ( ~ c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0
          | ~ c1_1(X3) )
      | ! [X2] :
          ( c3_1(X2)
          | ~ c2_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ ndr1_0
          | c3_1(X4)
          | ~ c0_1(X4) ) )
    & ( ! [X58] :
          ( c3_1(X58)
          | ~ ndr1_0
          | ~ c0_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ ndr1_0
          | c0_1(X57)
          | ~ c2_1(X57) )
      | hskp20 )
    & ( hskp7
      | hskp23
      | ! [X95] :
          ( c3_1(X95)
          | ~ ndr1_0
          | ~ c2_1(X95)
          | c1_1(X95) ) )
    & ( ( c1_1(a452)
        & c0_1(a452)
        & ~ c2_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( c2_1(a486)
        & ~ c0_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a450)
        & c1_1(a450)
        & c3_1(a450) ) )
    & ( hskp3
      | ! [X126] :
          ( c3_1(X126)
          | ~ c0_1(X126)
          | ~ ndr1_0
          | c1_1(X126) )
      | ! [X125] :
          ( ~ ndr1_0
          | c2_1(X125)
          | ~ c1_1(X125)
          | ~ c0_1(X125) ) )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c3_1(X96) )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( c0_1(a439)
        & ndr1_0
        & c3_1(a439)
        & ~ c1_1(a439) ) )
    & ( hskp21
      | ! [X110] :
          ( c0_1(X110)
          | ~ c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp9
      | hskp15 )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( hskp28
      | hskp19
      | ! [X73] :
          ( c3_1(X73)
          | ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c1_1(X73) ) )
    & ( hskp28
      | ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | c1_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0
          | ~ c0_1(X1) )
      | ! [X0] :
          ( ~ c1_1(X0)
          | c0_1(X0)
          | ~ ndr1_0
          | c2_1(X0) ) )
    & ( ~ hskp16
      | ( ~ c2_1(a457)
        & ndr1_0
        & c3_1(a457)
        & c1_1(a457) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a489)
        & c3_1(a489)
        & ~ c0_1(a489) ) )
    & ( ! [X66] :
          ( ~ c1_1(X66)
          | ~ ndr1_0
          | ~ c0_1(X66)
          | c2_1(X66) )
      | hskp16
      | hskp29 )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a435)
        & c1_1(a435)
        & ~ c3_1(a435) ) )
    & ( hskp8
      | hskp10
      | hskp1 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c1_1(X37)
          | c0_1(X37)
          | ~ c3_1(X37) )
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0
          | c3_1(X52) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c0_1(X50)
          | ~ c1_1(X50) )
      | ! [X51] :
          ( ~ c0_1(X51)
          | c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp7
      | ! [X92] :
          ( ~ ndr1_0
          | c1_1(X92)
          | ~ c3_1(X92)
          | c0_1(X92) ) )
    & ( hskp10
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | ~ ndr1_0
          | ~ c0_1(X86) ) )
    & ( ( ndr1_0
        & ~ c0_1(a454)
        & c3_1(a454)
        & ~ c1_1(a454) )
      | ~ hskp15 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | c1_1(X31)
          | c3_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | c1_1(X30)
          | ~ c2_1(X30)
          | ~ c0_1(X30) )
      | hskp2 )
    & ( ( c1_1(a447)
        & c3_1(a447)
        & c2_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( hskp0
      | hskp8
      | ! [X133] :
          ( ~ ndr1_0
          | ~ c2_1(X133)
          | c0_1(X133)
          | ~ c3_1(X133) ) )
    & ( hskp8
      | ! [X45] :
          ( ~ ndr1_0
          | c0_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ c2_1(X44) ) )
    & ( ~ hskp27
      | ( ~ c0_1(a509)
        & ~ c3_1(a509)
        & ndr1_0
        & ~ c2_1(a509) ) )
    & ( hskp14
      | hskp12
      | ! [X22] :
          ( c3_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0
          | ~ c2_1(X22) ) )
    & ( ( ndr1_0
        & c0_1(a442)
        & c2_1(a442)
        & ~ c3_1(a442) )
      | ~ hskp6 )
    & ( ~ hskp26
      | ( c1_1(a492)
        & ndr1_0
        & ~ c3_1(a492)
        & c2_1(a492) ) )
    & ( hskp11
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0
          | c2_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | c2_1(X87)
          | ~ c1_1(X87)
          | c0_1(X87) ) )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) )
      | ! [X7] :
          ( c2_1(X7)
          | c0_1(X7)
          | c1_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp8
      | hskp26 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a467)
        & c0_1(a467)
        & ~ c2_1(a467) ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | ~ ndr1_0
          | c1_1(X6)
          | c2_1(X6) )
      | hskp0
      | ! [X5] :
          ( ~ c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0
          | ~ c3_1(X29) )
      | hskp6 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ ndr1_0
          | ~ c1_1(X109)
          | c2_1(X109) )
      | hskp3
      | ! [X108] :
          ( c0_1(X108)
          | c3_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( ~ c3_1(a474)
        & c0_1(a474)
        & c1_1(a474)
        & ndr1_0 ) )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ ndr1_0
          | c0_1(X100)
          | ~ c2_1(X100) )
      | ! [X101] :
          ( ~ ndr1_0
          | c3_1(X101)
          | c0_1(X101)
          | ~ c1_1(X101) )
      | hskp9 )
    & ( hskp25
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c1_1(X118)
          | ~ c0_1(X118)
          | ~ c3_1(X118) )
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ ndr1_0
          | c2_1(X117)
          | ~ c1_1(X117) ) )
    & ( hskp5
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ c3_1(X68) )
      | ! [X67] :
          ( ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0
          | c2_1(X67) ) )
    & ( hskp1
      | ! [X103] :
          ( c2_1(X103)
          | ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c0_1(X102)
          | ~ ndr1_0
          | c1_1(X102) ) )
    & ( hskp29
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ c0_1(X91) )
      | hskp0 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0
          | c2_1(X10) )
      | hskp29
      | hskp10 )
    & ( ~ hskp8
      | ( ~ c0_1(a444)
        & ndr1_0
        & c2_1(a444)
        & ~ c3_1(a444) ) )
    & ( ( c0_1(a456)
        & c1_1(a456)
        & ndr1_0
        & c2_1(a456) )
      | ~ hskp30 )
    & ( ! [X47] :
          ( c3_1(X47)
          | ~ ndr1_0
          | ~ c2_1(X47)
          | c0_1(X47) )
      | hskp14
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ ndr1_0
          | ~ c2_1(X46)
          | c0_1(X46) ) )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | hskp6
      | ! [X21] :
          ( ~ c1_1(X21)
          | c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X19] :
          ( c2_1(X19)
          | c0_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | c0_1(X90)
          | c3_1(X90) )
      | hskp6
      | hskp18 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69) )
      | hskp1
      | hskp19 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84) )
      | hskp13
      | hskp4 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c1_1(X16)
          | c0_1(X16)
          | ~ c2_1(X16) )
      | ! [X17] :
          ( ~ ndr1_0
          | c1_1(X17)
          | ~ c2_1(X17)
          | c3_1(X17) )
      | ! [X18] :
          ( c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0
          | c0_1(X18) ) )
    & ( ( ndr1_0
        & ~ c2_1(a441)
        & c0_1(a441)
        & ~ c3_1(a441) )
      | ~ hskp5 )
    & ( hskp24
      | hskp8
      | ! [X116] :
          ( ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0
          | ~ c0_1(X116) ) )
    & ( hskp19
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ ndr1_0
          | c2_1(X76)
          | c3_1(X76)
          | c1_1(X76) ) )
    & ( ~ hskp9
      | ( ~ c0_1(a445)
        & ~ c1_1(a445)
        & ndr1_0
        & ~ c3_1(a445) ) )
    & ( hskp19
      | hskp14
      | hskp13 )
    & ( ! [X14] :
          ( ~ c3_1(X14)
          | ~ ndr1_0
          | ~ c0_1(X14)
          | c2_1(X14) )
      | hskp19
      | ! [X15] :
          ( ~ c0_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0
          | ~ c3_1(X15) ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | ~ ndr1_0
          | ~ c0_1(X56) )
      | hskp23
      | ! [X55] :
          ( c1_1(X55)
          | ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c0_1(X55) ) )
    & ( ! [X80] :
          ( ~ c2_1(X80)
          | ~ ndr1_0
          | c0_1(X80)
          | c3_1(X80) )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ ndr1_0
          | c2_1(X79)
          | ~ c1_1(X79) )
      | hskp17 )
    & ( ! [X35] :
          ( ~ ndr1_0
          | c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ c1_1(X36) )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ ndr1_0
          | ~ c1_1(X34)
          | ~ c0_1(X34) ) )
    & ( hskp15
      | hskp11
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43) ) )
    & ( ~ hskp22
      | ( c2_1(a475)
        & ~ c1_1(a475)
        & ~ c0_1(a475)
        & ndr1_0 ) )
    & ( ~ hskp20
      | ( ~ c2_1(a472)
        & ndr1_0
        & c3_1(a472)
        & c0_1(a472) ) )
    & ( hskp20
      | hskp6
      | hskp13 )
    & ( ~ hskp23
      | ( ~ c3_1(a484)
        & c1_1(a484)
        & ndr1_0
        & ~ c2_1(a484) ) )
    & ( ( c0_1(a463)
        & c2_1(a463)
        & ndr1_0
        & ~ c1_1(a463) )
      | ~ hskp17 )
    & ( hskp23
      | hskp17
      | hskp10 )
    & ( hskp16
      | hskp30
      | ! [X89] :
          ( c2_1(X89)
          | ~ ndr1_0
          | ~ c3_1(X89)
          | c0_1(X89) ) )
    & ( hskp28
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c3_1(X32)
          | c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X129] :
          ( ~ ndr1_0
          | c2_1(X129)
          | ~ c0_1(X129)
          | c3_1(X129) )
      | ! [X130] :
          ( c2_1(X130)
          | ~ c3_1(X130)
          | ~ ndr1_0
          | c1_1(X130) ) )
    & ( ! [X124] :
          ( c0_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0
          | c2_1(X124) )
      | ! [X122] :
          ( ~ c2_1(X122)
          | ~ ndr1_0
          | ~ c3_1(X122)
          | c1_1(X122) )
      | ! [X123] :
          ( c3_1(X123)
          | ~ c0_1(X123)
          | c2_1(X123)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c0_1(a437)
        & c3_1(a437)
        & c2_1(a437) )
      | ~ hskp28 )
    & ( hskp16
      | ! [X24] :
          ( ~ c1_1(X24)
          | ~ ndr1_0
          | ~ c2_1(X24)
          | ~ c3_1(X24) )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0
          | c0_1(X25) ) )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c1_1(X49)
          | ~ c2_1(X49)
          | c3_1(X49) )
      | hskp11
      | hskp30 )
    & ( ~ hskp13
      | ( ~ c1_1(a451)
        & ndr1_0
        & c3_1(a451)
        & c2_1(a451) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) )
      | ! [X83] :
          ( ~ ndr1_0
          | c0_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83) )
      | ! [X82] :
          ( ~ c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0
          | ~ c1_1(X82) ) )
    & ( ! [X72] :
          ( ~ ndr1_0
          | c0_1(X72)
          | ~ c1_1(X72)
          | c3_1(X72) )
      | ! [X70] :
          ( ~ ndr1_0
          | c0_1(X70)
          | ~ c3_1(X70)
          | ~ c2_1(X70) )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X120] :
          ( c0_1(X120)
          | c1_1(X120)
          | ~ ndr1_0
          | ~ c2_1(X120) )
      | ! [X121] :
          ( ~ c2_1(X121)
          | ~ c0_1(X121)
          | ~ ndr1_0
          | ~ c3_1(X121) )
      | ! [X119] :
          ( ~ ndr1_0
          | c2_1(X119)
          | ~ c1_1(X119)
          | ~ c0_1(X119) ) )
    & ( ! [X53] :
          ( ~ c3_1(X53)
          | ~ ndr1_0
          | c0_1(X53)
          | ~ c2_1(X53) )
      | hskp1
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X131] :
          ( c0_1(X131)
          | ~ ndr1_0
          | c1_1(X131)
          | c2_1(X131) )
      | ! [X132] :
          ( ~ ndr1_0
          | c3_1(X132)
          | c1_1(X132)
          | ~ c2_1(X132) )
      | hskp1 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ~ c3_1(a466) ) )
    & ( hskp26
      | hskp30
      | ! [X99] :
          ( ~ c3_1(X99)
          | c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | c3_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | c1_1(X59)
          | ~ c3_1(X59)
          | ~ c2_1(X59) ) )
    & ( hskp4
      | ! [X48] :
          ( ~ ndr1_0
          | c0_1(X48)
          | c1_1(X48)
          | ~ c2_1(X48) )
      | hskp1 )
    & ( hskp14
      | ! [X23] :
          ( c2_1(X23)
          | c0_1(X23)
          | ~ ndr1_0
          | ~ c1_1(X23) )
      | hskp2 )
    & ( hskp5
      | ! [X114] :
          ( c3_1(X114)
          | ~ c2_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ ndr1_0
          | c1_1(X115)
          | c0_1(X115)
          | ~ c3_1(X115) ) )
    & ( ! [X26] :
          ( c3_1(X26)
          | ~ ndr1_0
          | c0_1(X26)
          | ~ c2_1(X26) )
      | ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c1_1(X27)
          | c3_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp24
      | ! [X116] :
          ( ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | hskp12
      | ! [X64] :
          ( c0_1(X64)
          | c2_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a489)
        & c3_1(a489)
        & ~ c0_1(a489) ) )
    & ( hskp28
      | hskp19
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c2_1(X59)
          | c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp8
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c3_1(X100)
          | c0_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp7
      | ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 ) )
    & ( ( c0_1(a456)
        & c1_1(a456)
        & ndr1_0
        & c2_1(a456) )
      | ~ hskp30 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp1
      | ! [X54] :
          ( c1_1(X54)
          | ~ c0_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp17
      | hskp10 )
    & ( hskp4
      | hskp13
      | ! [X84] :
          ( ~ c0_1(X84)
          | c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | c0_1(X9)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a450)
        & c1_1(a450)
        & c3_1(a450) ) )
    & ( ! [X17] :
          ( c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c0_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a452)
        & c0_1(a452)
        & ~ c2_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp19
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a447)
        & c3_1(a447)
        & c2_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( hskp19
      | hskp14
      | hskp13 )
    & ( hskp8
      | ! [X44] :
          ( ~ c2_1(X44)
          | c0_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( c3_1(X106)
          | c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | ~ c3_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ~ hskp22
      | ( c2_1(a475)
        & ~ c1_1(a475)
        & ~ c0_1(a475)
        & ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X89] :
          ( c0_1(X89)
          | c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a435)
        & c1_1(a435)
        & ~ c3_1(a435) ) )
    & ( ! [X114] :
          ( c1_1(X114)
          | ~ c2_1(X114)
          | c3_1(X114)
          | ~ ndr1_0 )
      | hskp5
      | ! [X115] :
          ( c0_1(X115)
          | ~ c3_1(X115)
          | c1_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c0_1(X75)
          | c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp25
      | ! [X94] :
          ( c1_1(X94)
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp28
      | ! [X62] :
          ( ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 ) )
    & ( ~ hskp4
      | ( c0_1(a439)
        & ndr1_0
        & c3_1(a439)
        & ~ c1_1(a439) ) )
    & ( ! [X132] :
          ( ~ c2_1(X132)
          | c3_1(X132)
          | c1_1(X132)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c2_1(X131)
          | c0_1(X131)
          | c1_1(X131)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a467)
        & c0_1(a467)
        & ~ c2_1(a467) ) )
    & ( hskp23
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449) ) )
    & ( hskp29
      | ! [X10] :
          ( c2_1(X10)
          | c3_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c2_1(X43)
          | ~ c0_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp11
      | hskp15 )
    & ( ! [X120] :
          ( c1_1(X120)
          | c0_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c1_1(X119)
          | c2_1(X119)
          | ~ c0_1(X119)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c3_1(X121)
          | ~ c2_1(X121)
          | ~ c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | hskp12 )
    & ( ( ~ c0_1(a433)
        & ndr1_0
        & ~ c1_1(a433)
        & ~ c2_1(a433) )
      | ~ hskp1 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c3_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c3_1(a434)
        & c0_1(a434)
        & ~ c1_1(a434) ) )
    & ( ( c0_1(a463)
        & c2_1(a463)
        & ndr1_0
        & ~ c1_1(a463) )
      | ~ hskp17 )
    & ( hskp28
      | ! [X33] :
          ( ~ c0_1(X33)
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c3_1(X32)
          | c2_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c0_1(X86)
          | ~ c3_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ( ndr1_0
        & ~ c0_1(a454)
        & c3_1(a454)
        & ~ c1_1(a454) )
      | ~ hskp15 )
    & ( ! [X47] :
          ( c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ~ hskp16
      | ( ~ c2_1(a457)
        & ndr1_0
        & c3_1(a457)
        & c1_1(a457) ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | hskp2
      | ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ~ c3_1(a466) ) )
    & ( ( ndr1_0
        & ~ c2_1(a441)
        & c0_1(a441)
        & ~ c3_1(a441) )
      | ~ hskp5 )
    & ( hskp26
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ( ndr1_0
        & c0_1(a442)
        & c2_1(a442)
        & ~ c3_1(a442) )
      | ~ hskp6 )
    & ( hskp2
      | hskp14
      | ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | hskp14
      | hskp12 )
    & ( ! [X38] :
          ( c2_1(X38)
          | ~ c3_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c0_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c2_1(X95)
          | c3_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | hskp23
      | hskp7 )
    & ( ! [X102] :
          ( c0_1(X102)
          | c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp1
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X19] :
          ( ~ c3_1(X19)
          | c2_1(X19)
          | c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c3_1(X26)
          | c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | hskp13 )
    & ( hskp22
      | ! [X110] :
          ( ~ c3_1(X110)
          | c0_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ~ hskp0
      | ( ~ c0_1(a432)
        & ~ c2_1(a432)
        & ndr1_0
        & c3_1(a432) ) )
    & ( ~ hskp9
      | ( ~ c0_1(a445)
        & ~ c1_1(a445)
        & ndr1_0
        & ~ c3_1(a445) ) )
    & ( ! [X80] :
          ( c3_1(X80)
          | c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ~ hskp26
      | ( c1_1(a492)
        & ndr1_0
        & ~ c3_1(a492)
        & c2_1(a492) ) )
    & ( hskp8
      | ! [X65] :
          ( c1_1(X65)
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp5
      | ! [X68] :
          ( c0_1(X68)
          | ~ c3_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c1_1(X87)
          | c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c0_1(X88)
          | c1_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ( ndr1_0
        & ~ c2_1(a448)
        & c1_1(a448)
        & ~ c0_1(a448) )
      | ~ hskp10 )
    & ( ! [X21] :
          ( ~ c1_1(X21)
          | c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c0_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | c3_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | c3_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c2_1(X90)
          | c3_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | hskp6
      | hskp18 )
    & ( hskp0
      | hskp6
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X48] :
          ( c1_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c1_1(X41)
          | ~ c3_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c0_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | c3_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | c2_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp3
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ~ hskp20
      | ( ~ c2_1(a472)
        & ndr1_0
        & c3_1(a472)
        & c0_1(a472) ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | hskp29
      | hskp16 )
    & ( hskp8
      | hskp9
      | ! [X107] :
          ( c1_1(X107)
          | c0_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp10
      | hskp1 )
    & ( ! [X104] :
          ( c0_1(X104)
          | ~ c1_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( hskp30
      | hskp11
      | ! [X49] :
          ( ~ c2_1(X49)
          | c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a486)
        & ~ c0_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ndr1_0
        & c0_1(a437)
        & c3_1(a437)
        & c2_1(a437) )
      | ~ hskp28 )
    & ( ~ hskp21
      | ( ~ c3_1(a474)
        & c0_1(a474)
        & c1_1(a474)
        & ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ c0_1(X118)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c3_1(X2)
          | ~ c2_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( ! [X58] :
          ( c3_1(X58)
          | c1_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp20
      | ! [X57] :
          ( ~ c3_1(X57)
          | c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ~ c1_1(a451)
        & ndr1_0
        & c3_1(a451)
        & c2_1(a451) ) )
    & ( hskp26
      | hskp30
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp19
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ~ hskp8
      | ( ~ c0_1(a444)
        & ndr1_0
        & c2_1(a444)
        & ~ c3_1(a444) ) )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | c3_1(X123)
          | c2_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | ~ c3_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X122] :
          ( ~ c3_1(X122)
          | c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 ) )
    & ( ~ hskp23
      | ( ~ c3_1(a484)
        & c1_1(a484)
        & ndr1_0
        & ~ c2_1(a484) ) )
    & ( ! [X0] :
          ( c2_1(X0)
          | c0_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c0_1(X1)
          | ~ c1_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp13 )
    & ( hskp0
      | hskp29
      | ! [X91] :
          ( ~ c2_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c3_1(X92)
          | c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | hskp19 )
    & ( hskp28
      | ! [X134] :
          ( c1_1(X134)
          | ~ c2_1(X134)
          | c0_1(X134)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X83] :
          ( c2_1(X83)
          | c0_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( ~ c0_1(a509)
        & ~ c3_1(a509)
        & ndr1_0
        & ~ c2_1(a509) ) )
    & ( ! [X126] :
          ( ~ c0_1(X126)
          | c1_1(X126)
          | c3_1(X126)
          | ~ ndr1_0 )
      | hskp3
      | ! [X125] :
          ( ~ c0_1(X125)
          | c2_1(X125)
          | ~ c1_1(X125)
          | ~ ndr1_0 ) )
    & ( ! [X127] :
          ( ~ c0_1(X127)
          | ~ c2_1(X127)
          | ~ c1_1(X127)
          | ~ ndr1_0 )
      | hskp30
      | ! [X128] :
          ( ~ c0_1(X128)
          | ~ c3_1(X128)
          | c2_1(X128)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c3_1(X5)
          | c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp0
      | ! [X6] :
          ( c2_1(X6)
          | c0_1(X6)
          | c1_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X133] :
          ( ~ c3_1(X133)
          | c0_1(X133)
          | ~ c2_1(X133)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp1
      | ! [X130] :
          ( c1_1(X130)
          | c2_1(X130)
          | ~ c3_1(X130)
          | ~ ndr1_0 )
      | ! [X129] :
          ( ~ c0_1(X129)
          | c3_1(X129)
          | c2_1(X129)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp24
      | ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | ~ c0_1(X116)
            | ~ c3_1(X116) ) )
      | hskp8 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c3_1(X63)
            | ~ c0_1(X63) ) )
      | hskp12
      | ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | c2_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a489)
        & c3_1(a489)
        & ~ c0_1(a489) ) )
    & ( hskp28
      | hskp19
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | c3_1(X73) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c1_1(X59)
            | ~ c3_1(X59) ) )
      | hskp8
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | ~ c0_1(X60) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c0_1(X100)
            | ~ c2_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | c0_1(X101)
            | ~ c1_1(X101) ) )
      | hskp9 )
    & ( ~ hskp7
      | ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 ) )
    & ( ( c0_1(a456)
        & c1_1(a456)
        & ndr1_0
        & c2_1(a456) )
      | ~ hskp30 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp1
      | ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | ~ c0_1(X54)
            | ~ c2_1(X54) ) ) )
    & ( hskp23
      | hskp17
      | hskp10 )
    & ( hskp4
      | hskp13
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c1_1(X84)
            | ~ c3_1(X84) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c3_1(X9)
            | c0_1(X9) ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a450)
        & c1_1(a450)
        & c3_1(a450) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c0_1(X18)
            | c3_1(X18) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c2_1(X16)
            | ~ c1_1(X16) ) ) )
    & ( ( c1_1(a452)
        & c0_1(a452)
        & ~ c2_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp19
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c1_1(X77)
            | c3_1(X77) ) ) )
    & ( ( c1_1(a447)
        & c3_1(a447)
        & c2_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( hskp19
      | hskp14
      | hskp13 )
    & ( hskp8
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | c0_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c0_1(X45)
            | ~ c2_1(X45) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | c0_1(X106)
            | ~ c2_1(X106) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c3_1(X105)
            | c0_1(X105) ) )
      | hskp13 )
    & ( ~ hskp22
      | ( c2_1(a475)
        & ~ c1_1(a475)
        & ~ c0_1(a475)
        & ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X89] :
          ( ndr1_0
         => ( c0_1(X89)
            | c2_1(X89)
            | ~ c3_1(X89) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | ~ c0_1(X34)
            | ~ c2_1(X34) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | ~ c3_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c3_1(X35)
            | ~ c0_1(X35) ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a435)
        & c1_1(a435)
        & ~ c3_1(a435) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( c1_1(X114)
            | ~ c2_1(X114)
            | c3_1(X114) ) )
      | hskp5
      | ! [X115] :
          ( ndr1_0
         => ( c0_1(X115)
            | ~ c3_1(X115)
            | c1_1(X115) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c1_1(X75)
            | ~ c2_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c2_1(X74)
            | c3_1(X74) ) )
      | hskp24 )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | c3_1(X93)
            | ~ c2_1(X93) ) )
      | hskp25
      | ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c3_1(X94)
            | ~ c0_1(X94) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | c1_1(X61)
            | ~ c3_1(X61) ) )
      | hskp28
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) ) )
    & ( ~ hskp4
      | ( c0_1(a439)
        & ndr1_0
        & c3_1(a439)
        & ~ c1_1(a439) ) )
    & ( ! [X132] :
          ( ndr1_0
         => ( ~ c2_1(X132)
            | c3_1(X132)
            | c1_1(X132) ) )
      | ! [X131] :
          ( ndr1_0
         => ( c2_1(X131)
            | c0_1(X131)
            | c1_1(X131) ) )
      | hskp1 )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c1_1(a467)
        & c0_1(a467)
        & ~ c2_1(a467) ) )
    & ( hskp23
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c0_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | c2_1(X56)
            | ~ c0_1(X56) ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449) ) )
    & ( hskp29
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c3_1(X10)
            | c0_1(X10) ) )
      | hskp10 )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | c0_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c1_1(X12)
            | ~ c2_1(X12) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c0_1(X43)
            | ~ c3_1(X43) ) )
      | hskp11
      | hskp15 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c1_1(X120)
            | c0_1(X120)
            | ~ c2_1(X120) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | c2_1(X119)
            | ~ c0_1(X119) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | ~ c2_1(X121)
            | ~ c0_1(X121) ) ) )
    & ( hskp24
      | hskp3
      | hskp12 )
    & ( ( ~ c0_1(a433)
        & ndr1_0
        & ~ c1_1(a433)
        & ~ c2_1(a433) )
      | ~ hskp1 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c3_1(X71)
            | c2_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c3_1(X70)
            | c0_1(X70) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c0_1(X72)
            | ~ c1_1(X72) ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c3_1(a434)
        & c0_1(a434)
        & ~ c1_1(a434) ) )
    & ( ( c0_1(a463)
        & c2_1(a463)
        & ndr1_0
        & ~ c1_1(a463) )
      | ~ hskp17 )
    & ( hskp28
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | ~ c3_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | ~ c3_1(X86)
            | c1_1(X86) ) )
      | hskp10 )
    & ( ( ndr1_0
        & ~ c0_1(a454)
        & c3_1(a454)
        & ~ c1_1(a454) )
      | ~ hskp15 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) )
      | hskp14 )
    & ( ~ hskp16
      | ( ~ c2_1(a457)
        & ndr1_0
        & c3_1(a457)
        & c1_1(a457) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) )
      | hskp2
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | ~ c2_1(X25)
            | c0_1(X25) ) )
      | hskp16 )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ~ c3_1(a466) ) )
    & ( ( ndr1_0
        & ~ c2_1(a441)
        & c0_1(a441)
        & ~ c3_1(a441) )
      | ~ hskp5 )
    & ( hskp26
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c0_1(X42)
            | ~ c1_1(X42) ) )
      | hskp27 )
    & ( ( ndr1_0
        & c0_1(a442)
        & c2_1(a442)
        & ~ c3_1(a442) )
      | ~ hskp6 )
    & ( hskp2
      | hskp14
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | ~ c1_1(X23) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c3_1(X22) ) )
      | hskp14
      | hskp12 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c3_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c0_1(X37)
            | ~ c3_1(X37) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c3_1(X95)
            | c1_1(X95) ) )
      | hskp23
      | hskp7 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c0_1(X102)
            | c1_1(X102)
            | ~ c2_1(X102) ) )
      | hskp1
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c0_1(X103)
            | c2_1(X103) ) ) )
    & ( hskp1
      | hskp2
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | c2_1(X19)
            | c0_1(X19) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | c0_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | c2_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | ~ c1_1(X27) ) ) )
    & ( hskp20
      | hskp6
      | hskp13 )
    & ( hskp22
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | c0_1(X110)
            | ~ c2_1(X110) ) )
      | hskp21 )
    & ( ~ hskp0
      | ( ~ c0_1(a432)
        & ~ c2_1(a432)
        & ndr1_0
        & c3_1(a432) ) )
    & ( ~ hskp9
      | ( ~ c0_1(a445)
        & ~ c1_1(a445)
        & ndr1_0
        & ~ c3_1(a445) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c0_1(X80)
            | ~ c2_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c1_1(X79)
            | c2_1(X79) ) )
      | hskp17 )
    & ( ~ hskp26
      | ( c1_1(a492)
        & ndr1_0
        & ~ c3_1(a492)
        & c2_1(a492) ) )
    & ( hskp8
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c3_1(X65)
            | ~ c0_1(X65) ) )
      | hskp26 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | ~ c0_1(X67)
            | ~ c1_1(X67) ) )
      | hskp5
      | ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c3_1(X68)
            | ~ c1_1(X68) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c0_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c1_1(X88)
            | c2_1(X88) ) )
      | hskp11 )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | ~ c1_1(X78) ) )
      | hskp3
      | hskp12 )
    & ( ( ndr1_0
        & ~ c2_1(a448)
        & c1_1(a448)
        & ~ c0_1(a448) )
      | ~ hskp10 )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c2_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c0_1(X20)
            | ~ c2_1(X20) ) )
      | hskp6 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | c3_1(X112)
            | ~ c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | c3_1(X113)
            | c0_1(X113) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c1_1(X111)
            | ~ c3_1(X111) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c3_1(X90)
            | c0_1(X90) ) )
      | hskp6
      | hskp18 )
    & ( hskp0
      | hskp6
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c1_1(X29)
            | ~ c3_1(X29) ) ) )
    & ( hskp1
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) )
      | hskp4 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | ~ c3_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c0_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c0_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c3_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | c3_1(X96)
            | ~ c1_1(X96) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | c2_1(X109)
            | ~ c1_1(X109) ) )
      | hskp3
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ~ hskp20
      | ( ~ c2_1(a472)
        & ndr1_0
        & c3_1(a472)
        & c0_1(a472) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | ~ c1_1(X66) ) )
      | hskp29
      | hskp16 )
    & ( hskp8
      | hskp9
      | ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | c0_1(X107)
            | ~ c3_1(X107) ) ) )
    & ( hskp8
      | hskp10
      | hskp1 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c0_1(X104)
            | ~ c1_1(X104)
            | c2_1(X104) ) )
      | hskp15
      | hskp9 )
    & ( hskp30
      | hskp11
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c1_1(X49)
            | c3_1(X49) ) ) )
    & ( ( c2_1(a486)
        & ~ c0_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ndr1_0
        & c0_1(a437)
        & c3_1(a437)
        & c2_1(a437) )
      | ~ hskp28 )
    & ( ~ hskp21
      | ( ~ c3_1(a474)
        & c0_1(a474)
        & c1_1(a474)
        & ndr1_0 ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c1_1(X118)
            | ~ c3_1(X118)
            | ~ c0_1(X118) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | ~ c1_1(X117)
            | ~ c3_1(X117) ) )
      | hskp25 )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | ~ c2_1(X2)
            | c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c3_1(X3)
            | ~ c2_1(X3) ) ) )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | c1_1(X58)
            | ~ c0_1(X58) ) )
      | hskp20
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c0_1(X57)
            | ~ c2_1(X57) ) ) )
    & ( ~ hskp13
      | ( ~ c1_1(a451)
        & ndr1_0
        & c3_1(a451)
        & c2_1(a451) ) )
    & ( hskp26
      | hskp30
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp1
      | hskp19
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( ~ hskp8
      | ( ~ c0_1(a444)
        & ndr1_0
        & c2_1(a444)
        & ~ c3_1(a444) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | c3_1(X123)
            | c2_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c2_1(X124)
            | ~ c3_1(X124)
            | c0_1(X124) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | c1_1(X122)
            | ~ c2_1(X122) ) ) )
    & ( ~ hskp23
      | ( ~ c3_1(a484)
        & c1_1(a484)
        & ndr1_0
        & ~ c2_1(a484) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c0_1(X0)
            | ~ c1_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c0_1(X1)
            | ~ c1_1(X1)
            | ~ c3_1(X1) ) )
      | hskp13 )
    & ( hskp0
      | hskp29
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c0_1(X91)
            | ~ c3_1(X91) ) ) )
    & ( hskp7
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | c0_1(X92)
            | c1_1(X92) ) )
      | hskp6 )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | ~ c3_1(X14)
            | c2_1(X14) ) )
      | hskp19 )
    & ( hskp28
      | ! [X134] :
          ( ndr1_0
         => ( c1_1(X134)
            | ~ c2_1(X134)
            | c0_1(X134) ) )
      | hskp0 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c0_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c2_1(X82)
            | ~ c1_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c1_1(X81)
            | ~ c0_1(X81) ) ) )
    & ( ~ hskp27
      | ( ~ c0_1(a509)
        & ~ c3_1(a509)
        & ndr1_0
        & ~ c2_1(a509) ) )
    & ( ! [X126] :
          ( ndr1_0
         => ( ~ c0_1(X126)
            | c1_1(X126)
            | c3_1(X126) ) )
      | hskp3
      | ! [X125] :
          ( ndr1_0
         => ( ~ c0_1(X125)
            | c2_1(X125)
            | ~ c1_1(X125) ) ) )
    & ( ! [X127] :
          ( ndr1_0
         => ( ~ c0_1(X127)
            | ~ c2_1(X127)
            | ~ c1_1(X127) ) )
      | hskp30
      | ! [X128] :
          ( ndr1_0
         => ( ~ c0_1(X128)
            | ~ c3_1(X128)
            | c2_1(X128) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c0_1(X5)
            | ~ c2_1(X5) ) )
      | hskp0
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c0_1(X6)
            | c1_1(X6) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c0_1(X50)
            | ~ c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | ~ c1_1(X51)
            | c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c1_1(X52) ) ) )
    & ( hskp0
      | ! [X133] :
          ( ndr1_0
         => ( ~ c3_1(X133)
            | c0_1(X133)
            | ~ c2_1(X133) ) )
      | hskp8 )
    & ( hskp1
      | ! [X130] :
          ( ndr1_0
         => ( c1_1(X130)
            | c2_1(X130)
            | ~ c3_1(X130) ) )
      | ! [X129] :
          ( ndr1_0
         => ( ~ c0_1(X129)
            | c3_1(X129)
            | c2_1(X129) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp24
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c0_1(X116)
                | ~ c3_1(X116) ) )
          | hskp8 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c0_1(X63) ) )
          | hskp12
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c2_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a489)
            & c3_1(a489)
            & ~ c0_1(a489) ) )
        & ( hskp28
          | hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c1_1(X59)
                | ~ c3_1(X59) ) )
          | hskp8
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | ~ c0_1(X60) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c0_1(X100)
                | ~ c2_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp9 )
        & ( ~ hskp7
          | ( ~ c2_1(a443)
            & ~ c1_1(a443)
            & c3_1(a443)
            & ndr1_0 ) )
        & ( ( c0_1(a456)
            & c1_1(a456)
            & ndr1_0
            & c2_1(a456) )
          | ~ hskp30 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp1
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | ~ c0_1(X54)
                | ~ c2_1(X54) ) ) )
        & ( hskp23
          | hskp17
          | hskp10 )
        & ( hskp4
          | hskp13
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c1_1(X84)
                | ~ c3_1(X84) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | c0_1(X9) ) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a450)
            & c1_1(a450)
            & c3_1(a450) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c0_1(X18)
                | c3_1(X18) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c2_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( ( c1_1(a452)
            & c0_1(a452)
            & ~ c2_1(a452)
            & ndr1_0 )
          | ~ hskp14 )
        & ( hskp19
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c3_1(X77) ) ) )
        & ( ( c1_1(a447)
            & c3_1(a447)
            & c2_1(a447)
            & ndr1_0 )
          | ~ hskp29 )
        & ( hskp19
          | hskp14
          | hskp13 )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c0_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c0_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | c0_1(X106)
                | ~ c2_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c3_1(X105)
                | c0_1(X105) ) )
          | hskp13 )
        & ( ~ hskp22
          | ( c2_1(a475)
            & ~ c1_1(a475)
            & ~ c0_1(a475)
            & ndr1_0 ) )
        & ( hskp16
          | hskp30
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | c2_1(X89)
                | ~ c3_1(X89) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | ~ c0_1(X34)
                | ~ c2_1(X34) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c3_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c3_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a435)
            & c1_1(a435)
            & ~ c3_1(a435) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( c1_1(X114)
                | ~ c2_1(X114)
                | c3_1(X114) ) )
          | hskp5
          | ! [X115] :
              ( ndr1_0
             => ( c0_1(X115)
                | ~ c3_1(X115)
                | c1_1(X115) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c1_1(X75)
                | ~ c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c2_1(X74)
                | c3_1(X74) ) )
          | hskp24 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | ~ c2_1(X93) ) )
          | hskp25
          | ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c3_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | ~ c3_1(X61) ) )
          | hskp28
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) ) )
        & ( ~ hskp4
          | ( c0_1(a439)
            & ndr1_0
            & c3_1(a439)
            & ~ c1_1(a439) ) )
        & ( ! [X132] :
              ( ndr1_0
             => ( ~ c2_1(X132)
                | c3_1(X132)
                | c1_1(X132) ) )
          | ! [X131] :
              ( ndr1_0
             => ( c2_1(X131)
                | c0_1(X131)
                | c1_1(X131) ) )
          | hskp1 )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c1_1(a467)
            & c0_1(a467)
            & ~ c2_1(a467) ) )
        & ( hskp23
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c0_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c3_1(a449)
            & ~ c1_1(a449)
            & c2_1(a449) ) )
        & ( hskp29
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c3_1(X10)
                | c0_1(X10) ) )
          | hskp10 )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c0_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c1_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c0_1(X43)
                | ~ c3_1(X43) ) )
          | hskp11
          | hskp15 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c1_1(X120)
                | c0_1(X120)
                | ~ c2_1(X120) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c2_1(X119)
                | ~ c0_1(X119) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp24
          | hskp3
          | hskp12 )
        & ( ( ~ c0_1(a433)
            & ndr1_0
            & ~ c1_1(a433)
            & ~ c2_1(a433) )
          | ~ hskp1 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c3_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c3_1(X70)
                | c0_1(X70) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c0_1(X72)
                | ~ c1_1(X72) ) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c3_1(a434)
            & c0_1(a434)
            & ~ c1_1(a434) ) )
        & ( ( c0_1(a463)
            & c2_1(a463)
            & ndr1_0
            & ~ c1_1(a463) )
          | ~ hskp17 )
        & ( hskp28
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | ~ c3_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c3_1(X86)
                | c1_1(X86) ) )
          | hskp10 )
        & ( ( ndr1_0
            & ~ c0_1(a454)
            & c3_1(a454)
            & ~ c1_1(a454) )
          | ~ hskp15 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) )
          | hskp14 )
        & ( ~ hskp16
          | ( ~ c2_1(a457)
            & ndr1_0
            & c3_1(a457)
            & c1_1(a457) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) )
          | hskp2
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | hskp16 )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c2_1(a466)
            & ~ c1_1(a466)
            & ~ c3_1(a466) ) )
        & ( ( ndr1_0
            & ~ c2_1(a441)
            & c0_1(a441)
            & ~ c3_1(a441) )
          | ~ hskp5 )
        & ( hskp26
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | ~ c1_1(X42) ) )
          | hskp27 )
        & ( ( ndr1_0
            & c0_1(a442)
            & c2_1(a442)
            & ~ c3_1(a442) )
          | ~ hskp6 )
        & ( hskp2
          | hskp14
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | ~ c1_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c3_1(X22) ) )
          | hskp14
          | hskp12 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c3_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c0_1(X37)
                | ~ c3_1(X37) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c3_1(X95)
                | c1_1(X95) ) )
          | hskp23
          | hskp7 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c0_1(X102)
                | c1_1(X102)
                | ~ c2_1(X102) ) )
          | hskp1
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c0_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp1
          | hskp2
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c0_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | c2_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | ~ c1_1(X27) ) ) )
        & ( hskp20
          | hskp6
          | hskp13 )
        & ( hskp22
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | c0_1(X110)
                | ~ c2_1(X110) ) )
          | hskp21 )
        & ( ~ hskp0
          | ( ~ c0_1(a432)
            & ~ c2_1(a432)
            & ndr1_0
            & c3_1(a432) ) )
        & ( ~ hskp9
          | ( ~ c0_1(a445)
            & ~ c1_1(a445)
            & ndr1_0
            & ~ c3_1(a445) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c0_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | c2_1(X79) ) )
          | hskp17 )
        & ( ~ hskp26
          | ( c1_1(a492)
            & ndr1_0
            & ~ c3_1(a492)
            & c2_1(a492) ) )
        & ( hskp8
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c3_1(X65)
                | ~ c0_1(X65) ) )
          | hskp26 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | hskp5
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c3_1(X68)
                | ~ c1_1(X68) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c0_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c1_1(X88)
                | c2_1(X88) ) )
          | hskp11 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | hskp3
          | hskp12 )
        & ( ( ndr1_0
            & ~ c2_1(a448)
            & c1_1(a448)
            & ~ c0_1(a448) )
          | ~ hskp10 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c0_1(X20)
                | ~ c2_1(X20) ) )
          | hskp6 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | c3_1(X112)
                | ~ c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | c3_1(X113)
                | c0_1(X113) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | c0_1(X90) ) )
          | hskp6
          | hskp18 )
        & ( hskp0
          | hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( hskp1
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) )
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c3_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c0_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c3_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c2_1(X109)
                | ~ c1_1(X109) ) )
          | hskp3
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ~ hskp20
          | ( ~ c2_1(a472)
            & ndr1_0
            & c3_1(a472)
            & c0_1(a472) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | ~ c1_1(X66) ) )
          | hskp29
          | hskp16 )
        & ( hskp8
          | hskp9
          | ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | c0_1(X107)
                | ~ c3_1(X107) ) ) )
        & ( hskp8
          | hskp10
          | hskp1 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c0_1(X104)
                | ~ c1_1(X104)
                | c2_1(X104) ) )
          | hskp15
          | hskp9 )
        & ( hskp30
          | hskp11
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c1_1(X49)
                | c3_1(X49) ) ) )
        & ( ( c2_1(a486)
            & ~ c0_1(a486)
            & c1_1(a486)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ndr1_0
            & c0_1(a437)
            & c3_1(a437)
            & c2_1(a437) )
          | ~ hskp28 )
        & ( ~ hskp21
          | ( ~ c3_1(a474)
            & c0_1(a474)
            & c1_1(a474)
            & ndr1_0 ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c3_1(X118)
                | ~ c0_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp25 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c2_1(X2)
                | c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c3_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( hskp24
          | hskp14
          | hskp30 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c1_1(X58)
                | ~ c0_1(X58) ) )
          | hskp20
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c0_1(X57)
                | ~ c2_1(X57) ) ) )
        & ( ~ hskp13
          | ( ~ c1_1(a451)
            & ndr1_0
            & c3_1(a451)
            & c2_1(a451) ) )
        & ( hskp26
          | hskp30
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp1
          | hskp19
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ~ hskp8
          | ( ~ c0_1(a444)
            & ndr1_0
            & c2_1(a444)
            & ~ c3_1(a444) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | c3_1(X123)
                | c2_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c2_1(X124)
                | ~ c3_1(X124)
                | c0_1(X124) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | c1_1(X122)
                | ~ c2_1(X122) ) ) )
        & ( ~ hskp23
          | ( ~ c3_1(a484)
            & c1_1(a484)
            & ndr1_0
            & ~ c2_1(a484) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | ~ c1_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | ~ c1_1(X1)
                | ~ c3_1(X1) ) )
          | hskp13 )
        & ( hskp0
          | hskp29
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( hskp7
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c0_1(X92)
                | c1_1(X92) ) )
          | hskp6 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c3_1(X14)
                | c2_1(X14) ) )
          | hskp19 )
        & ( hskp28
          | ! [X134] :
              ( ndr1_0
             => ( c1_1(X134)
                | ~ c2_1(X134)
                | c0_1(X134) ) )
          | hskp0 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c0_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | ~ c0_1(X81) ) ) )
        & ( ~ hskp27
          | ( ~ c0_1(a509)
            & ~ c3_1(a509)
            & ndr1_0
            & ~ c2_1(a509) ) )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c0_1(X126)
                | c1_1(X126)
                | c3_1(X126) ) )
          | hskp3
          | ! [X125] :
              ( ndr1_0
             => ( ~ c0_1(X125)
                | c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( ! [X127] :
              ( ndr1_0
             => ( ~ c0_1(X127)
                | ~ c2_1(X127)
                | ~ c1_1(X127) ) )
          | hskp30
          | ! [X128] :
              ( ndr1_0
             => ( ~ c0_1(X128)
                | ~ c3_1(X128)
                | c2_1(X128) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c0_1(X5)
                | ~ c2_1(X5) ) )
          | hskp0
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | ~ c1_1(X51)
                | c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) ) )
        & ( hskp0
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | c0_1(X133)
                | ~ c2_1(X133) ) )
          | hskp8 )
        & ( hskp1
          | ! [X130] :
              ( ndr1_0
             => ( c1_1(X130)
                | c2_1(X130)
                | ~ c3_1(X130) ) )
          | ! [X129] :
              ( ndr1_0
             => ( ~ c0_1(X129)
                | c3_1(X129)
                | c2_1(X129) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp13
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | c3_1(X70) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c0_1(X4)
                | c3_1(X4) ) )
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c1_1(a467)
            & c0_1(a467)
            & ~ c2_1(a467) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c2_1(X0)
                | c1_1(X0) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c3_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp24
          | hskp3
          | hskp12 )
        & ( hskp10
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c0_1(X29)
                | c3_1(X29) ) )
          | hskp29 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | ~ c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c2_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c3_1(X122)
                | c2_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | hskp19 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c1_1(X53)
                | c3_1(X53) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c0_1(X51)
                | ~ c1_1(X51) ) ) )
        & ( ~ hskp27
          | ( ~ c0_1(a509)
            & ~ c3_1(a509)
            & ndr1_0
            & ~ c2_1(a509) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c3_1(X48)
                | c2_1(X48) ) )
          | hskp1
          | hskp2 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) )
          | hskp6
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c3_1(X79)
                | c2_1(X79) ) ) )
        & ( ~ hskp0
          | ( ~ c0_1(a432)
            & ~ c2_1(a432)
            & ndr1_0
            & c3_1(a432) ) )
        & ( hskp12
          | ! [X127] :
              ( ndr1_0
             => ( ~ c0_1(X127)
                | c3_1(X127)
                | ~ c2_1(X127) ) )
          | hskp14 )
        & ( ~ hskp9
          | ( ~ c0_1(a445)
            & ~ c1_1(a445)
            & ndr1_0
            & ~ c3_1(a445) ) )
        & ( hskp2
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c0_1(X36)
                | c2_1(X36) ) )
          | hskp14 )
        & ( ~ hskp23
          | ( ~ c3_1(a484)
            & c1_1(a484)
            & ndr1_0
            & ~ c2_1(a484) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | hskp16
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c3_1(a449)
            & ~ c1_1(a449)
            & c2_1(a449) ) )
        & ( ( ndr1_0
            & ~ c2_1(a441)
            & c0_1(a441)
            & ~ c3_1(a441) )
          | ~ hskp5 )
        & ( ~ hskp7
          | ( ~ c2_1(a443)
            & ~ c1_1(a443)
            & c3_1(a443)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & c0_1(a442)
            & c2_1(a442)
            & ~ c3_1(a442) )
          | ~ hskp6 )
        & ( hskp20
          | hskp6
          | hskp13 )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c0_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp0
          | ! [X134] :
              ( ndr1_0
             => ( ~ c3_1(X134)
                | ~ c2_1(X134)
                | ~ c1_1(X134) ) )
          | hskp6 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c0_1(X7)
                | c1_1(X7) ) )
          | hskp2 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c0_1(X28)
                | ~ c3_1(X28) ) )
          | hskp28 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | ~ c3_1(X104) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c3_1(X23)
                | c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c2_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( ! [X130] :
              ( ndr1_0
             => ( ~ c1_1(X130)
                | ~ c3_1(X130)
                | ~ c0_1(X130) ) )
          | hskp27
          | hskp26 )
        & ( hskp15
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c2_1(X133)
                | ~ c0_1(X133) ) )
          | hskp11 )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c3_1(X77)
                | c0_1(X77) ) )
          | hskp8 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) )
          | hskp14 )
        & ( ~ hskp4
          | ( c0_1(a439)
            & ndr1_0
            & c3_1(a439)
            & ~ c1_1(a439) ) )
        & ( hskp4
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | hskp1 )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a489)
            & c3_1(a489)
            & ~ c0_1(a489) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) )
          | hskp11
          | hskp30 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( ( c2_1(a486)
            & ~ c0_1(a486)
            & c1_1(a486)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c3_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | hskp1 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp23 )
        & ( ( ~ c0_1(a433)
            & ndr1_0
            & ~ c1_1(a433)
            & ~ c2_1(a433) )
          | ~ hskp1 )
        & ( ( ndr1_0
            & ~ c2_1(a448)
            & c1_1(a448)
            & ~ c0_1(a448) )
          | ~ hskp10 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp20
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | ~ c0_1(X83)
                | c1_1(X83) ) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a435)
            & c1_1(a435)
            & ~ c3_1(a435) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( c1_1(X117)
                | ~ c3_1(X117)
                | ~ c2_1(X117) ) )
          | hskp8
          | ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | c3_1(X118) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) )
          | hskp28 )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c0_1(X33)
                | c3_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c0_1(X32)
                | ~ c1_1(X32) ) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a450)
            & c1_1(a450)
            & c3_1(a450) ) )
        & ( ( ndr1_0
            & ~ c0_1(a454)
            & c3_1(a454)
            & ~ c1_1(a454) )
          | ~ hskp15 )
        & ( hskp8
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c3_1(X116)
                | c1_1(X116) ) )
          | hskp26 )
        & ( hskp29
          | ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) )
          | hskp16 )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp5 )
        & ( hskp1
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c2_1(X75)
                | c0_1(X75) ) )
          | hskp19 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c0_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c3_1(X38)
                | c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | c3_1(X39) ) ) )
        & ( ~ hskp22
          | ( c2_1(a475)
            & ~ c1_1(a475)
            & ~ c0_1(a475)
            & ndr1_0 ) )
        & ( hskp28
          | hskp19
          | ! [X128] :
              ( ndr1_0
             => ( ~ c1_1(X128)
                | c3_1(X128)
                | ~ c2_1(X128) ) ) )
        & ( hskp24
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c1_1(X107)
                | ~ c2_1(X107) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | ~ c2_1(X89) ) )
          | hskp19 )
        & ( hskp12
          | ! [X131] :
              ( ndr1_0
             => ( ~ c3_1(X131)
                | ~ c1_1(X131)
                | ~ c0_1(X131) ) )
          | hskp3 )
        & ( hskp17
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c0_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | c3_1(X67)
                | ~ c2_1(X67) ) ) )
        & ( ~ hskp26
          | ( c1_1(a492)
            & ndr1_0
            & ~ c3_1(a492)
            & c2_1(a492) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp13
          | hskp4 )
        & ( hskp10
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | c3_1(X112)
                | c2_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c1_1(X111)
                | ~ c0_1(X111)
                | ~ c3_1(X111) ) ) )
        & ( ~ hskp16
          | ( ~ c2_1(a457)
            & ndr1_0
            & c3_1(a457)
            & c1_1(a457) ) )
        & ( hskp11
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp30
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c3_1(X47)
                | c2_1(X47) ) )
          | hskp16 )
        & ( ~ hskp21
          | ( ~ c3_1(a474)
            & c0_1(a474)
            & c1_1(a474)
            & ndr1_0 ) )
        & ( hskp23
          | hskp17
          | hskp10 )
        & ( hskp18
          | hskp6
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c0_1(X74)
                | ~ c2_1(X74) ) ) )
        & ( hskp0
          | ! [X132] :
              ( ndr1_0
             => ( ~ c0_1(X132)
                | ~ c2_1(X132)
                | ~ c3_1(X132) ) )
          | hskp29 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | ~ c3_1(X25)
                | c0_1(X25) ) )
          | hskp7
          | hskp6 )
        & ( hskp25
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | c3_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | c1_1(X113)
                | ~ c3_1(X113) ) ) )
        & ( hskp7
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c2_1(X106)
                | c1_1(X106) ) )
          | hskp23 )
        & ( ~ hskp20
          | ( ~ c2_1(a472)
            & ndr1_0
            & c3_1(a472)
            & c0_1(a472) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c3_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c3_1(X97)
                | c1_1(X97) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) ) )
        & ( hskp26
          | hskp30
          | ! [X126] :
              ( ndr1_0
             => ( c2_1(X126)
                | ~ c3_1(X126)
                | ~ c1_1(X126) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | hskp9 )
        & ( ~ hskp8
          | ( ~ c0_1(a444)
            & ndr1_0
            & c2_1(a444)
            & ~ c3_1(a444) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c0_1(X17)
                | c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | hskp1 )
        & ( ~ hskp13
          | ( ~ c1_1(a451)
            & ndr1_0
            & c3_1(a451)
            & c2_1(a451) ) )
        & ( hskp15
          | hskp9
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c2_1(a466)
            & ~ c1_1(a466)
            & ~ c3_1(a466) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c3_1(X63)
                | c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) )
          | hskp13 )
        & ( hskp8
          | hskp9
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp8
          | hskp10
          | hskp1 )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c0_1(X9)
                | c1_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp22
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c3_1(X86)
                | c0_1(X86) ) )
          | hskp21 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | c3_1(X57) ) ) )
        & ( hskp5
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) ) )
        & ( hskp24
          | hskp8
          | ! [X129] :
              ( ndr1_0
             => ( ~ c3_1(X129)
                | ~ c1_1(X129)
                | ~ c0_1(X129) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c3_1(X124)
                | c2_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( ~ c0_1(X125)
                | ~ c1_1(X125)
                | ~ c3_1(X125) ) )
          | hskp25 )
        & ( ( c0_1(a463)
            & c2_1(a463)
            & ndr1_0
            & ~ c1_1(a463) )
          | ~ hskp17 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c2_1(X14)
                | c0_1(X14) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c0_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c3_1(a434)
            & c0_1(a434)
            & ~ c1_1(a434) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c0_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( ( ndr1_0
            & c0_1(a437)
            & c3_1(a437)
            & c2_1(a437) )
          | ~ hskp28 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | c2_1(X101)
                | ~ c0_1(X101) ) )
          | hskp3
          | ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( ( c0_1(a456)
            & c1_1(a456)
            & ndr1_0
            & c2_1(a456) )
          | ~ hskp30 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c0_1(X120)
                | c2_1(X120) ) )
          | hskp30 )
        & ( ( c1_1(a447)
            & c3_1(a447)
            & c2_1(a447)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c1_1(a452)
            & c0_1(a452)
            & ~ c2_1(a452)
            & ndr1_0 )
          | ~ hskp14 )
        & ( hskp19
          | hskp14
          | hskp13 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c3_1(X95)
                | c1_1(X95) ) )
          | hskp1 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | hskp1
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( hskp24
          | hskp14
          | hskp30 )
        & ( hskp0
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp8 )
        & ( hskp28
          | hskp0
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c0_1(X19)
                | ~ c2_1(X19) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp13
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c1_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | ~ c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c1_1(X70)
              | c3_1(X70) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | c0_1(X4)
              | c3_1(X4) ) )
        | hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c1_1(a467)
          & c0_1(a467)
          & ~ c2_1(a467) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c2_1(X0)
              | c1_1(X0) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c3_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) ) )
      & ( hskp24
        | hskp3
        | hskp12 )
      & ( hskp10
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | c0_1(X29)
              | c3_1(X29) ) )
        | hskp29 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | ~ c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c2_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c3_1(X122)
              | c2_1(X122) ) )
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) )
        | hskp19 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c2_1(X52)
              | ~ c1_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c1_1(X53)
              | c3_1(X53) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | c0_1(X51)
              | ~ c1_1(X51) ) ) )
      & ( ~ hskp27
        | ( ~ c0_1(a509)
          & ~ c3_1(a509)
          & ndr1_0
          & ~ c2_1(a509) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c3_1(X48)
              | c2_1(X48) ) )
        | hskp1
        | hskp2 )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c2_1(X78)
              | c0_1(X78) ) )
        | hskp6
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c3_1(X79)
              | c2_1(X79) ) ) )
      & ( ~ hskp0
        | ( ~ c0_1(a432)
          & ~ c2_1(a432)
          & ndr1_0
          & c3_1(a432) ) )
      & ( hskp12
        | ! [X127] :
            ( ndr1_0
           => ( ~ c0_1(X127)
              | c3_1(X127)
              | ~ c2_1(X127) ) )
        | hskp14 )
      & ( ~ hskp9
        | ( ~ c0_1(a445)
          & ~ c1_1(a445)
          & ndr1_0
          & ~ c3_1(a445) ) )
      & ( hskp2
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c0_1(X36)
              | c2_1(X36) ) )
        | hskp14 )
      & ( ~ hskp23
        | ( ~ c3_1(a484)
          & c1_1(a484)
          & ndr1_0
          & ~ c2_1(a484) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | hskp16
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c0_1(X72) ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c3_1(a449)
          & ~ c1_1(a449)
          & c2_1(a449) ) )
      & ( ( ndr1_0
          & ~ c2_1(a441)
          & c0_1(a441)
          & ~ c3_1(a441) )
        | ~ hskp5 )
      & ( ~ hskp7
        | ( ~ c2_1(a443)
          & ~ c1_1(a443)
          & c3_1(a443)
          & ndr1_0 ) )
      & ( ( ndr1_0
          & c0_1(a442)
          & c2_1(a442)
          & ~ c3_1(a442) )
        | ~ hskp6 )
      & ( hskp20
        | hskp6
        | hskp13 )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | ~ c0_1(X66)
              | ~ c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp0
        | ! [X134] :
            ( ndr1_0
           => ( ~ c3_1(X134)
              | ~ c2_1(X134)
              | ~ c1_1(X134) ) )
        | hskp6 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c0_1(X7)
              | c1_1(X7) ) )
        | hskp2 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | ~ c0_1(X28)
              | ~ c3_1(X28) ) )
        | hskp28 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | c1_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | ~ c3_1(X104) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c3_1(X23)
              | c1_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c2_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | c2_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | c1_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( ! [X130] :
            ( ndr1_0
           => ( ~ c1_1(X130)
              | ~ c3_1(X130)
              | ~ c0_1(X130) ) )
        | hskp27
        | hskp26 )
      & ( hskp15
        | ! [X133] :
            ( ndr1_0
           => ( ~ c3_1(X133)
              | ~ c2_1(X133)
              | ~ c0_1(X133) ) )
        | hskp11 )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c3_1(X77)
              | c0_1(X77) ) )
        | hskp8 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) )
        | hskp14 )
      & ( ~ hskp4
        | ( c0_1(a439)
          & ndr1_0
          & c3_1(a439)
          & ~ c1_1(a439) ) )
      & ( hskp4
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | hskp1 )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a489)
          & c3_1(a489)
          & ~ c0_1(a489) ) )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) )
        | hskp11
        | hskp30 )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( ( c2_1(a486)
          & ~ c0_1(a486)
          & c1_1(a486)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c3_1(X84)
              | c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) )
        | hskp1 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c1_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c2_1(X110)
              | ~ c3_1(X110) ) )
        | hskp23 )
      & ( ( ~ c0_1(a433)
          & ndr1_0
          & ~ c1_1(a433)
          & ~ c2_1(a433) )
        | ~ hskp1 )
      & ( ( ndr1_0
          & ~ c2_1(a448)
          & c1_1(a448)
          & ~ c0_1(a448) )
        | ~ hskp10 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp20
        | ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | ~ c0_1(X83)
              | c1_1(X83) ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a435)
          & c1_1(a435)
          & ~ c3_1(a435) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( c1_1(X117)
              | ~ c3_1(X117)
              | ~ c2_1(X117) ) )
        | hskp8
        | ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c1_1(X118)
              | c3_1(X118) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c1_1(X91)
              | ~ c3_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) )
        | hskp28 )
      & ( hskp12
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c0_1(X33)
              | c3_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c0_1(X32)
              | ~ c1_1(X32) ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a450)
          & c1_1(a450)
          & c3_1(a450) ) )
      & ( ( ndr1_0
          & ~ c0_1(a454)
          & c3_1(a454)
          & ~ c1_1(a454) )
        | ~ hskp15 )
      & ( hskp8
        | ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c3_1(X116)
              | c1_1(X116) ) )
        | hskp26 )
      & ( hskp29
        | ! [X119] :
            ( ndr1_0
           => ( c2_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) )
        | hskp16 )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | c2_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp5 )
      & ( hskp1
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c2_1(X75)
              | c0_1(X75) ) )
        | hskp19 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c0_1(X40)
              | ~ c2_1(X40) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | ~ c3_1(X38)
              | c0_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | c3_1(X39) ) ) )
      & ( ~ hskp22
        | ( c2_1(a475)
          & ~ c1_1(a475)
          & ~ c0_1(a475)
          & ndr1_0 ) )
      & ( hskp28
        | hskp19
        | ! [X128] :
            ( ndr1_0
           => ( ~ c1_1(X128)
              | c3_1(X128)
              | ~ c2_1(X128) ) ) )
      & ( hskp24
        | ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c1_1(X107)
              | ~ c2_1(X107) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | c3_1(X89)
              | ~ c2_1(X89) ) )
        | hskp19 )
      & ( hskp12
        | ! [X131] :
            ( ndr1_0
           => ( ~ c3_1(X131)
              | ~ c1_1(X131)
              | ~ c0_1(X131) ) )
        | hskp3 )
      & ( hskp17
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c0_1(X68)
              | ~ c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | c3_1(X67)
              | ~ c2_1(X67) ) ) )
      & ( ~ hskp26
        | ( c1_1(a492)
          & ndr1_0
          & ~ c3_1(a492)
          & c2_1(a492) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c0_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | c1_1(X115)
              | ~ c3_1(X115) ) )
        | hskp13
        | hskp4 )
      & ( hskp10
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | c3_1(X112)
              | c2_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( c1_1(X111)
              | ~ c0_1(X111)
              | ~ c3_1(X111) ) ) )
      & ( ~ hskp16
        | ( ~ c2_1(a457)
          & ndr1_0
          & c3_1(a457)
          & c1_1(a457) ) )
      & ( hskp11
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) ) )
      & ( hskp30
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c3_1(X47)
              | c2_1(X47) ) )
        | hskp16 )
      & ( ~ hskp21
        | ( ~ c3_1(a474)
          & c0_1(a474)
          & c1_1(a474)
          & ndr1_0 ) )
      & ( hskp23
        | hskp17
        | hskp10 )
      & ( hskp18
        | hskp6
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c0_1(X74)
              | ~ c2_1(X74) ) ) )
      & ( hskp0
        | ! [X132] :
            ( ndr1_0
           => ( ~ c0_1(X132)
              | ~ c2_1(X132)
              | ~ c3_1(X132) ) )
        | hskp29 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | ~ c3_1(X25)
              | c0_1(X25) ) )
        | hskp7
        | hskp6 )
      & ( hskp25
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | c3_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | c1_1(X113)
              | ~ c3_1(X113) ) ) )
      & ( hskp7
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c2_1(X106)
              | c1_1(X106) ) )
        | hskp23 )
      & ( ~ hskp20
        | ( ~ c2_1(a472)
          & ndr1_0
          & c3_1(a472)
          & c0_1(a472) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | c3_1(X98)
              | ~ c1_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c3_1(X97)
              | c1_1(X97) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) ) )
      & ( hskp26
        | hskp30
        | ! [X126] :
            ( ndr1_0
           => ( c2_1(X126)
              | ~ c3_1(X126)
              | ~ c1_1(X126) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | c3_1(X49) ) )
        | hskp9 )
      & ( ~ hskp8
        | ( ~ c0_1(a444)
          & ndr1_0
          & c2_1(a444)
          & ~ c3_1(a444) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c0_1(X17)
              | c1_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c2_1(X18) ) )
        | hskp1 )
      & ( ~ hskp13
        | ( ~ c1_1(a451)
          & ndr1_0
          & c3_1(a451)
          & c2_1(a451) ) )
      & ( hskp15
        | hskp9
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c2_1(a466)
          & ~ c1_1(a466)
          & ~ c3_1(a466) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c3_1(X63)
              | c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) )
        | hskp13 )
      & ( hskp8
        | hskp9
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c3_1(X26)
              | c1_1(X26) ) ) )
      & ( hskp8
        | hskp10
        | hskp1 )
      & ( hskp3
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c0_1(X9)
              | c1_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c0_1(X10)
              | ~ c1_1(X10)
              | c2_1(X10) ) ) )
      & ( hskp22
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c3_1(X86)
              | c0_1(X86) ) )
        | hskp21 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | ~ c1_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | c3_1(X57) ) ) )
      & ( hskp5
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c3_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) ) )
      & ( hskp24
        | hskp8
        | ! [X129] :
            ( ndr1_0
           => ( ~ c3_1(X129)
              | ~ c1_1(X129)
              | ~ c0_1(X129) ) ) )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c3_1(X124)
              | c2_1(X124) ) )
        | ! [X125] :
            ( ndr1_0
           => ( ~ c0_1(X125)
              | ~ c1_1(X125)
              | ~ c3_1(X125) ) )
        | hskp25 )
      & ( ( c0_1(a463)
          & c2_1(a463)
          & ndr1_0
          & ~ c1_1(a463) )
        | ~ hskp17 )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | ~ c1_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | ~ c2_1(X14)
              | c0_1(X14) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c0_1(X16)
              | ~ c2_1(X16) ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c3_1(a434)
          & c0_1(a434)
          & ~ c1_1(a434) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c0_1(X46)
              | c2_1(X46) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | c0_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( ( ndr1_0
          & c0_1(a437)
          & c3_1(a437)
          & c2_1(a437) )
        | ~ hskp28 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | c2_1(X101)
              | ~ c0_1(X101) ) )
        | hskp3
        | ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( ( c0_1(a456)
          & c1_1(a456)
          & ndr1_0
          & c2_1(a456) )
        | ~ hskp30 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c0_1(X120)
              | c2_1(X120) ) )
        | hskp30 )
      & ( ( c1_1(a447)
          & c3_1(a447)
          & c2_1(a447)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c1_1(a452)
          & c0_1(a452)
          & ~ c2_1(a452)
          & ndr1_0 )
        | ~ hskp14 )
      & ( hskp19
        | hskp14
        | hskp13 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | c3_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c3_1(X95)
              | c1_1(X95) ) )
        | hskp1 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | hskp1
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c3_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( hskp24
        | hskp14
        | hskp30 )
      & ( hskp0
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp8 )
      & ( hskp28
        | hskp0
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | c0_1(X19)
              | ~ c2_1(X19) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1006,plain,
    ( ~ spl0_2
    | spl0_55
    | spl0_75
    | spl0_124 ),
    inference(avatar_split_clause,[],[f22,f807,f544,f448,f216]) ).

fof(f807,plain,
    ( spl0_124
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f22,plain,
    ! [X126,X125] :
      ( hskp3
      | c3_1(X126)
      | ~ c0_1(X126)
      | ~ c0_1(X125)
      | c1_1(X126)
      | c2_1(X125)
      | ~ c1_1(X125)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1002,plain,
    ( spl0_157
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f126,f807,f999]) ).

fof(f126,plain,
    ( ~ hskp3
    | c1_1(a435) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f994,plain,
    ( ~ spl0_46
    | spl0_156 ),
    inference(avatar_split_clause,[],[f135,f991,f406]) ).

fof(f406,plain,
    ( spl0_46
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f135,plain,
    ( c3_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f982,plain,
    ( spl0_154
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f188,f264,f979]) ).

fof(f264,plain,
    ( spl0_14
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f188,plain,
    ( ~ hskp17
    | c0_1(a463) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f977,plain,
    ( ~ spl0_2
    | spl0_124
    | spl0_7
    | spl0_64 ),
    inference(avatar_split_clause,[],[f10,f492,f236,f807,f216]) ).

fof(f492,plain,
    ( spl0_64
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f10,plain,
    ! [X78] :
      ( hskp12
      | ~ c3_1(X78)
      | ~ c0_1(X78)
      | hskp3
      | ~ c1_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_153
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f160,f357,f973]) ).

fof(f357,plain,
    ( spl0_36
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f160,plain,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f971,plain,
    ( ~ spl0_8
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f192,f968,f240]) ).

fof(f240,plain,
    ( spl0_8
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f192,plain,
    ( ~ c2_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f966,plain,
    ( spl0_27
    | spl0_36
    | spl0_80
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f15,f216,f567,f357,f320]) ).

fof(f320,plain,
    ( spl0_27
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f15,plain,
    ! [X107] :
      ( ~ ndr1_0
      | c1_1(X107)
      | hskp8
      | c0_1(X107)
      | hskp9
      | ~ c3_1(X107) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f965,plain,
    ( ~ spl0_151
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f127,f807,f962]) ).

fof(f127,plain,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f960,plain,
    ( ~ spl0_150
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f107,f305,f957]) ).

fof(f305,plain,
    ( spl0_24
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f107,plain,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_8
    | spl0_148 ),
    inference(avatar_split_clause,[],[f190,f946,f240]) ).

fof(f190,plain,
    ( c3_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_147
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f181,f260,f941]) ).

fof(f260,plain,
    ( spl0_13
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f181,plain,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( spl0_124
    | ~ spl0_2
    | spl0_68
    | spl0_55 ),
    inference(avatar_split_clause,[],[f43,f448,f509,f216,f807]) ).

fof(f43,plain,
    ! [X108,X109] :
      ( ~ c1_1(X109)
      | ~ c0_1(X109)
      | c1_1(X108)
      | ~ ndr1_0
      | c0_1(X108)
      | hskp3
      | c3_1(X108)
      | c2_1(X109) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( spl0_146
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f103,f288,f933]) ).

fof(f288,plain,
    ( spl0_20
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f103,plain,
    ( ~ hskp14
    | c0_1(a452) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( ~ spl0_145
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f98,f277,f928]) ).

fof(f277,plain,
    ( spl0_17
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f98,plain,
    ( ~ hskp11
    | ~ c1_1(a449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( ~ spl0_144
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f94,f411,f923]) ).

fof(f411,plain,
    ( spl0_47
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f94,plain,
    ( ~ hskp1
    | ~ c1_1(a433) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f919,plain,
    ( ~ spl0_64
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f111,f916,f492]) ).

fof(f111,plain,
    ( ~ c0_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f914,plain,
    ( spl0_142
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f104,f288,f911]) ).

fof(f104,plain,
    ( ~ hskp14
    | c1_1(a452) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_55
    | spl0_32 ),
    inference(avatar_split_clause,[],[f31,f340,f448,f236,f216]) ).

fof(f31,plain,
    ! [X50,X51,X52] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | c2_1(X51)
      | ~ c1_1(X50)
      | c3_1(X52)
      | ~ c3_1(X50)
      | ~ c0_1(X51)
      | ~ c0_1(X50)
      | ~ c1_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f908,plain,
    ( ~ spl0_76
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f120,f905,f548]) ).

fof(f548,plain,
    ( spl0_76
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f120,plain,
    ( ~ c2_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f898,plain,
    ( ~ spl0_139
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f167,f376,f895]) ).

fof(f376,plain,
    ( spl0_40
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f167,plain,
    ( ~ hskp5
    | ~ c2_1(a441) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_138
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f131,f616,f890]) ).

fof(f616,plain,
    ( spl0_90
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f131,plain,
    ( ~ hskp15
    | ~ c0_1(a454) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_76
    | spl0_136 ),
    inference(avatar_split_clause,[],[f117,f880,f548]) ).

fof(f117,plain,
    ( c1_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_23
    | spl0_134 ),
    inference(avatar_split_clause,[],[f142,f870,f300]) ).

fof(f300,plain,
    ( spl0_23
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f142,plain,
    ( c2_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f868,plain,
    ( spl0_133
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f193,f363,f865]) ).

fof(f363,plain,
    ( spl0_37
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f193,plain,
    ( ~ hskp28
    | c2_1(a437) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( spl0_2
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f199,f344,f216]) ).

fof(f344,plain,
    ( spl0_33
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f199,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_2
    | spl0_32
    | spl0_16
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f233,f273,f340,f216]) ).

fof(f18,plain,
    ! [X113,X111,X112] :
      ( c3_1(X112)
      | ~ c1_1(X111)
      | ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | c3_1(X113)
      | c2_1(X111)
      | ~ c3_1(X111)
      | c0_1(X113) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_3
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f85,f850,f221]) ).

fof(f221,plain,
    ( spl0_3
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f85,plain,
    ( ~ c1_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_2
    | spl0_34
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f80,f233,f230,f348,f216]) ).

fof(f80,plain,
    ! [X28,X26,X27] :
      ( ~ c0_1(X27)
      | c3_1(X27)
      | ~ c3_1(X28)
      | c1_1(X28)
      | ~ c1_1(X27)
      | ~ c2_1(X26)
      | c0_1(X26)
      | ~ ndr1_0
      | c2_1(X28)
      | c3_1(X26) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_23
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f141,f833,f300]) ).

fof(f141,plain,
    ( ~ c3_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_27
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f169,f828,f320]) ).

fof(f169,plain,
    ( ~ c3_1(a445)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( spl0_53
    | spl0_47
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f47,f252,f216,f411,f439]) ).

fof(f47,plain,
    ! [X102,X103] :
      ( c2_1(X103)
      | ~ ndr1_0
      | hskp1
      | ~ c0_1(X103)
      | ~ c2_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ c3_1(X103) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f125,f811,f807]) ).

fof(f125,plain,
    ( ~ c3_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( spl0_18
    | spl0_20
    | spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f78,f216,f221,f288,f281]) ).

fof(f78,plain,
    ! [X23] :
      ( ~ ndr1_0
      | hskp2
      | hskp14
      | ~ c1_1(X23)
      | c0_1(X23)
      | c2_1(X23) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( spl0_2
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f133,f406,f216]) ).

fof(f133,plain,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_12
    | spl0_121 ),
    inference(avatar_split_clause,[],[f90,f790,f256]) ).

fof(f256,plain,
    ( spl0_12
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f90,plain,
    ( c1_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_119
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f191,f240,f780]) ).

fof(f191,plain,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_2
    | spl0_22
    | spl0_6
    | spl0_34 ),
    inference(avatar_split_clause,[],[f19,f348,f233,f297,f216]) ).

fof(f19,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | ~ c1_1(X4)
      | ~ c1_1(X3)
      | c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c3_1(X3)
      | c3_1(X4) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( spl0_114
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f130,f616,f751]) ).

fof(f130,plain,
    ( ~ hskp15
    | c3_1(a454) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_46
    | spl0_113 ),
    inference(avatar_split_clause,[],[f136,f745,f406]) ).

fof(f136,plain,
    ( c1_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f742,plain,
    ( ~ spl0_112
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f185,f264,f739]) ).

fof(f185,plain,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( ~ spl0_109
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f184,f260,f723]) ).

fof(f184,plain,
    ( ~ hskp23
    | ~ c3_1(a484) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( spl0_34
    | spl0_27
    | ~ spl0_2
    | spl0_32 ),
    inference(avatar_split_clause,[],[f44,f340,f216,f320,f348]) ).

fof(f44,plain,
    ! [X101,X100] :
      ( ~ c1_1(X101)
      | ~ ndr1_0
      | hskp9
      | c3_1(X101)
      | c3_1(X100)
      | c0_1(X100)
      | ~ c2_1(X100)
      | c0_1(X101) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( spl0_20
    | spl0_48
    | spl0_33 ),
    inference(avatar_split_clause,[],[f208,f344,f415,f288]) ).

fof(f208,plain,
    ( hskp13
    | hskp19
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( spl0_107
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f108,f305,f709]) ).

fof(f108,plain,
    ( ~ hskp24
    | c2_1(a486) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f702,plain,
    ( ~ spl0_2
    | spl0_67
    | spl0_53
    | spl0_55 ),
    inference(avatar_split_clause,[],[f72,f448,f439,f506,f216]) ).

fof(f72,plain,
    ! [X120,X121,X119] :
      ( c2_1(X119)
      | ~ c1_1(X119)
      | ~ c0_1(X119)
      | ~ c2_1(X120)
      | ~ c3_1(X121)
      | c1_1(X120)
      | ~ ndr1_0
      | ~ c2_1(X121)
      | ~ c0_1(X121)
      | c0_1(X120) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_12
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f91,f688,f256]) ).

fof(f91,plain,
    ( ~ c2_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( spl0_102
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f122,f315,f683]) ).

fof(f315,plain,
    ( spl0_26
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f122,plain,
    ( ~ hskp25
    | c3_1(a489) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_27
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f171,f678,f320]) ).

fof(f171,plain,
    ( ~ c1_1(a445)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f676,plain,
    ( ~ spl0_100
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f93,f411,f673]) ).

fof(f93,plain,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f667,plain,
    ( spl0_7
    | spl0_26
    | spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f45,f216,f273,f315,f236]) ).

fof(f45,plain,
    ! [X118,X117] :
      ( ~ ndr1_0
      | c2_1(X117)
      | hskp25
      | ~ c3_1(X117)
      | ~ c0_1(X118)
      | ~ c1_1(X117)
      | ~ c1_1(X118)
      | ~ c3_1(X118) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f663,plain,
    ( ~ spl0_76
    | spl0_98 ),
    inference(avatar_split_clause,[],[f118,f660,f548]) ).

fof(f118,plain,
    ( c3_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f647,plain,
    ( spl0_95
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f183,f260,f644]) ).

fof(f183,plain,
    ( ~ hskp23
    | c1_1(a484) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f642,plain,
    ( ~ spl0_3
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f87,f639,f221]) ).

fof(f87,plain,
    ( ~ c3_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_90
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f129,f634,f616]) ).

fof(f129,plain,
    ( ~ c1_1(a454)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( spl0_64
    | ~ spl0_2
    | spl0_18
    | spl0_75 ),
    inference(avatar_split_clause,[],[f14,f544,f281,f216,f492]) ).

fof(f14,plain,
    ! [X63,X64] :
      ( c3_1(X63)
      | ~ c0_1(X63)
      | c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0
      | c1_1(X63)
      | hskp12
      | ~ c1_1(X64) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_80 ),
    inference(avatar_split_clause,[],[f30,f567,f252,f216]) ).

fof(f30,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ c0_1(X38)
      | c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( spl0_47
    | spl0_36
    | spl0_12 ),
    inference(avatar_split_clause,[],[f207,f256,f357,f411]) ).

fof(f207,plain,
    ( hskp10
    | hskp8
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f619,plain,
    ( spl0_27
    | spl0_90
    | ~ spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f25,f281,f216,f616,f320]) ).

fof(f25,plain,
    ! [X104] :
      ( c2_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | hskp15
      | c0_1(X104)
      | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_64
    | spl0_88 ),
    inference(avatar_split_clause,[],[f109,f605,f492]) ).

fof(f109,plain,
    ( c3_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_26
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f121,f582,f315]) ).

fof(f121,plain,
    ( ~ c0_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_81
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f96,f411,f571]) ).

fof(f96,plain,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( spl0_40
    | spl0_80
    | spl0_29
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f79,f216,f330,f567,f376]) ).

fof(f79,plain,
    ! [X114,X115] :
      ( ~ ndr1_0
      | c3_1(X114)
      | c1_1(X115)
      | hskp5
      | c0_1(X115)
      | c1_1(X114)
      | ~ c3_1(X115)
      | ~ c2_1(X114) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( spl0_16
    | spl0_23
    | ~ spl0_2
    | spl0_42 ),
    inference(avatar_split_clause,[],[f51,f388,f216,f300,f273]) ).

fof(f51,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | ~ ndr1_0
      | hskp6
      | ~ c1_1(X21)
      | ~ c1_1(X20)
      | ~ c2_1(X20)
      | c2_1(X21)
      | ~ c3_1(X21) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    ( spl0_55
    | spl0_46
    | ~ spl0_2
    | spl0_76 ),
    inference(avatar_split_clause,[],[f29,f548,f216,f406,f448]) ).

fof(f29,plain,
    ! [X66] :
      ( hskp16
      | ~ ndr1_0
      | hskp29
      | c2_1(X66)
      | ~ c1_1(X66)
      | ~ c0_1(X66) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( spl0_74
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f158,f357,f539]) ).

fof(f158,plain,
    ( ~ hskp8
    | c2_1(a444) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_72
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f194,f363,f528]) ).

fof(f194,plain,
    ( ~ hskp28
    | c3_1(a437) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f526,plain,
    ( ~ spl0_17
    | spl0_71 ),
    inference(avatar_split_clause,[],[f97,f523,f277]) ).

fof(f97,plain,
    ( c2_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_2
    | spl0_52
    | spl0_67
    | spl0_68 ),
    inference(avatar_split_clause,[],[f39,f509,f506,f435,f216]) ).

fof(f39,plain,
    ! [X8,X9,X7] :
      ( c0_1(X9)
      | ~ c3_1(X8)
      | c2_1(X7)
      | c0_1(X7)
      | ~ ndr1_0
      | c1_1(X7)
      | ~ c2_1(X8)
      | c3_1(X9)
      | ~ c0_1(X8)
      | c1_1(X9) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( ~ spl0_23
    | spl0_65 ),
    inference(avatar_split_clause,[],[f143,f497,f300]) ).

fof(f143,plain,
    ( c0_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f110,f492,f488]) ).

fof(f110,plain,
    ( ~ hskp12
    | c1_1(a450) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_36
    | ~ spl0_2
    | spl0_42
    | spl0_30 ),
    inference(avatar_split_clause,[],[f36,f334,f388,f216,f357]) ).

fof(f36,plain,
    ! [X44,X45] :
      ( ~ c3_1(X45)
      | ~ c2_1(X44)
      | c0_1(X45)
      | c0_1(X44)
      | ~ ndr1_0
      | hskp8
      | ~ c2_1(X45)
      | ~ c1_1(X44) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( spl0_61
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f106,f305,f477]) ).

fof(f106,plain,
    ( ~ hskp24
    | c1_1(a486) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( ~ spl0_60
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f102,f288,f472]) ).

fof(f102,plain,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( ~ spl0_12
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f89,f462,f256]) ).

fof(f89,plain,
    ( ~ c0_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( ~ spl0_57
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f157,f357,f457]) ).

fof(f157,plain,
    ( ~ hskp8
    | ~ c3_1(a444) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( ~ spl0_9
    | spl0_56 ),
    inference(avatar_split_clause,[],[f164,f452,f245]) ).

fof(f245,plain,
    ( spl0_9
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f164,plain,
    ( c0_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_2
    | spl0_14
    | spl0_34
    | spl0_55 ),
    inference(avatar_split_clause,[],[f61,f448,f348,f264,f216]) ).

fof(f61,plain,
    ! [X80,X79] :
      ( c2_1(X79)
      | ~ c1_1(X79)
      | c0_1(X80)
      | hskp17
      | ~ ndr1_0
      | c3_1(X80)
      | ~ c2_1(X80)
      | ~ c0_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_54
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f166,f376,f443]) ).

fof(f166,plain,
    ( ~ hskp5
    | c0_1(a441) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( ~ spl0_2
    | spl0_47
    | spl0_52
    | spl0_29 ),
    inference(avatar_split_clause,[],[f74,f330,f435,f411,f216]) ).

fof(f74,plain,
    ! [X132,X131] :
      ( c1_1(X132)
      | c2_1(X131)
      | c1_1(X131)
      | hskp1
      | ~ ndr1_0
      | c3_1(X132)
      | ~ c2_1(X132)
      | c0_1(X131) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f433,plain,
    ( spl0_51
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f163,f245,f430]) ).

fof(f163,plain,
    ( ~ hskp30
    | c1_1(a456) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_26
    | spl0_49 ),
    inference(avatar_split_clause,[],[f123,f420,f315]) ).

fof(f123,plain,
    ( c2_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f409,plain,
    ( spl0_45
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f134,f406,f402]) ).

fof(f134,plain,
    ( ~ hskp29
    | c2_1(a447) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f391,plain,
    ( ~ spl0_2
    | spl0_37
    | spl0_19
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f230,f284,f363,f216]) ).

fof(f27,plain,
    ! [X62,X61] :
      ( ~ c3_1(X61)
      | ~ c0_1(X62)
      | c2_1(X62)
      | hskp28
      | ~ ndr1_0
      | c1_1(X61)
      | c2_1(X61)
      | c1_1(X62) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( spl0_42
    | spl0_32
    | spl0_29
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f56,f216,f330,f340,f388]) ).

fof(f56,plain,
    ! [X18,X16,X17] :
      ( ~ ndr1_0
      | ~ c2_1(X17)
      | c0_1(X18)
      | c3_1(X17)
      | c0_1(X16)
      | c3_1(X18)
      | ~ c1_1(X16)
      | c1_1(X17)
      | ~ c1_1(X18)
      | ~ c2_1(X16) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_20
    | spl0_34
    | ~ spl0_2
    | spl0_30 ),
    inference(avatar_split_clause,[],[f50,f334,f216,f348,f288]) ).

fof(f50,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | ~ c2_1(X47)
      | hskp14
      | ~ c2_1(X46)
      | c3_1(X47) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f370,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f195,f367,f363]) ).

fof(f195,plain,
    ( c0_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f360,plain,
    ( ~ spl0_2
    | spl0_24
    | spl0_36
    | spl0_7 ),
    inference(avatar_split_clause,[],[f57,f236,f357,f305,f216]) ).

fof(f57,plain,
    ! [X116] :
      ( ~ c0_1(X116)
      | hskp8
      | hskp24
      | ~ ndr1_0
      | ~ c1_1(X116)
      | ~ c3_1(X116) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( ~ spl0_14
    | spl0_35 ),
    inference(avatar_split_clause,[],[f187,f352,f264]) ).

fof(f187,plain,
    ( c2_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f342,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_2
    | spl0_32 ),
    inference(avatar_split_clause,[],[f71,f340,f216,f337,f334]) ).

fof(f71,plain,
    ! [X72,X70,X71] :
      ( ~ c1_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X71)
      | c0_1(X70)
      | c2_1(X71)
      | c0_1(X71)
      | c3_1(X72)
      | ~ c3_1(X70)
      | c0_1(X72)
      | ~ c2_1(X70) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f332,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_13
    | spl0_29 ),
    inference(avatar_split_clause,[],[f21,f330,f260,f240,f216]) ).

fof(f21,plain,
    ! [X95] :
      ( ~ c2_1(X95)
      | hskp23
      | c3_1(X95)
      | hskp7
      | c1_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( ~ spl0_27
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f172,f324,f320]) ).

fof(f172,plain,
    ( ~ c0_1(a445)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f313,plain,
    ( ~ spl0_25
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f99,f277,f310]) ).

fof(f99,plain,
    ( ~ hskp11
    | ~ c3_1(a449) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f308,plain,
    ( spl0_24
    | spl0_9
    | spl0_20 ),
    inference(avatar_split_clause,[],[f206,f288,f245,f305]) ).

fof(f206,plain,
    ( hskp14
    | hskp30
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( spl0_2
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f101,f288,f216]) ).

fof(f101,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f286,plain,
    ( ~ spl0_2
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f38,f284,f281,f277,f216]) ).

fof(f38,plain,
    ! [X88,X87] :
      ( c1_1(X88)
      | c2_1(X87)
      | c2_1(X88)
      | c0_1(X87)
      | hskp11
      | ~ c1_1(X87)
      | ~ ndr1_0
      | ~ c0_1(X88) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f267,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f210,f264,f260,f256]) ).

fof(f210,plain,
    ( hskp17
    | hskp23
    | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f228,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f86,f225,f221]) ).

fof(f86,plain,
    ( c0_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN509+1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:13:36 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (31355)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48  % (31371)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.48  % (31358)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (31363)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (31366)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (31375)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50  % (31354)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  Detected maximum model sizes of [31]
% 0.20/0.50  % (31379)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.50  % (31367)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50  % (31374)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (31357)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (31356)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  % (31370)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (31359)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (31362)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (31359)Instruction limit reached!
% 0.20/0.52  % (31359)------------------------------
% 0.20/0.52  % (31359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (31359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (31359)Termination reason: Unknown
% 0.20/0.52  % (31359)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (31359)Memory used [KB]: 6012
% 0.20/0.52  % (31359)Time elapsed: 0.009 s
% 0.20/0.52  % (31359)Instructions burned: 7 (million)
% 0.20/0.52  % (31359)------------------------------
% 0.20/0.52  % (31359)------------------------------
% 0.20/0.52  % (31381)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52  % (31378)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (31352)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  TRYING [4]
% 0.20/0.52  % (31353)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (31380)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (31377)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (31360)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (31360)Instruction limit reached!
% 0.20/0.53  % (31360)------------------------------
% 0.20/0.53  % (31360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31360)Termination reason: Unknown
% 0.20/0.53  % (31360)Termination phase: Preprocessing 1
% 0.20/0.53  
% 0.20/0.53  % (31360)Memory used [KB]: 1151
% 0.20/0.53  % (31360)Time elapsed: 0.003 s
% 0.20/0.53  % (31360)Instructions burned: 2 (million)
% 0.20/0.53  % (31360)------------------------------
% 0.20/0.53  % (31360)------------------------------
% 0.20/0.53  % (31373)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (31369)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (31368)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (31372)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  % (31365)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (31361)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (31358)Instruction limit reached!
% 0.20/0.54  % (31358)------------------------------
% 0.20/0.54  % (31358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31376)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (31364)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56  % (31358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (31358)Termination reason: Unknown
% 0.20/0.56  % (31358)Termination phase: Finite model building SAT solving
% 0.20/0.56  
% 0.20/0.56  % (31358)Memory used [KB]: 6524
% 0.20/0.56  % (31358)Time elapsed: 0.128 s
% 0.20/0.56  % (31358)Instructions burned: 51 (million)
% 0.20/0.56  % (31358)------------------------------
% 0.20/0.56  % (31358)------------------------------
% 0.20/0.56  % (31354)Instruction limit reached!
% 0.20/0.56  % (31354)------------------------------
% 0.20/0.56  % (31354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (31354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (31354)Termination reason: Unknown
% 0.20/0.56  % (31354)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (31354)Memory used [KB]: 1663
% 0.20/0.56  % (31354)Time elapsed: 0.164 s
% 0.20/0.56  % (31354)Instructions burned: 38 (million)
% 0.20/0.56  % (31354)------------------------------
% 0.20/0.56  % (31354)------------------------------
% 0.20/0.56  Detected maximum model sizes of [31]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.57  % (31355)First to succeed.
% 1.69/0.59  Detected maximum model sizes of [31]
% 1.69/0.59  % (31362)Instruction limit reached!
% 1.69/0.59  % (31362)------------------------------
% 1.69/0.59  % (31362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (31362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  TRYING [1]
% 1.69/0.59  % (31362)Termination reason: Unknown
% 1.69/0.59  % (31362)Termination phase: Saturation
% 1.69/0.59  
% 1.69/0.59  % (31362)Memory used [KB]: 7036
% 1.69/0.59  % (31362)Time elapsed: 0.184 s
% 1.69/0.59  % (31362)Instructions burned: 51 (million)
% 1.69/0.59  % (31362)------------------------------
% 1.69/0.59  % (31362)------------------------------
% 1.69/0.59  TRYING [3]
% 1.69/0.59  % (31366)Instruction limit reached!
% 1.69/0.59  % (31366)------------------------------
% 1.69/0.59  % (31366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (31366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (31366)Termination reason: Unknown
% 1.69/0.59  % (31366)Termination phase: Saturation
% 1.69/0.59  
% 1.69/0.59  % (31366)Memory used [KB]: 6652
% 1.69/0.59  % (31366)Time elapsed: 0.038 s
% 1.69/0.59  % (31366)Instructions burned: 68 (million)
% 1.69/0.59  % (31366)------------------------------
% 1.69/0.59  % (31366)------------------------------
% 1.69/0.59  TRYING [2]
% 1.69/0.59  TRYING [3]
% 1.69/0.59  TRYING [4]
% 1.69/0.59  TRYING [4]
% 1.69/0.59  % (31363)Also succeeded, but the first one will report.
% 1.69/0.59  % (31355)Refutation found. Thanks to Tanya!
% 1.69/0.59  % SZS status Theorem for theBenchmark
% 1.69/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.60  % (31355)------------------------------
% 1.69/0.60  % (31355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60  % (31355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60  % (31355)Termination reason: Refutation
% 1.69/0.60  
% 1.69/0.60  % (31355)Memory used [KB]: 7419
% 1.69/0.60  % (31355)Time elapsed: 0.176 s
% 1.69/0.60  % (31355)Instructions burned: 44 (million)
% 1.69/0.60  % (31355)------------------------------
% 1.69/0.60  % (31355)------------------------------
% 1.69/0.60  % (31351)Success in time 0.247 s
%------------------------------------------------------------------------------