TSTP Solution File: SYN473+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN473+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 : n009.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 19:38:18 EDT 2022

% Result   : Theorem 2.19s 0.64s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  159
% Syntax   : Number of formulae    :  668 (   1 unt;   0 def)
%            Number of atoms       : 6293 (   0 equ)
%            Maximal formula atoms :  704 (   9 avg)
%            Number of connectives : 8350 (2725   ~;3853   |;1170   &)
%                                         ( 158 <=>; 444  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  112 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  195 ( 194 usr; 191 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  789 ( 789   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2268,plain,
    $false,
    inference(avatar_sat_refutation,[],[f230,f253,f272,f286,f291,f298,f302,f325,f334,f343,f355,f366,f371,f377,f382,f389,f398,f403,f408,f417,f429,f445,f446,f451,f457,f461,f466,f475,f484,f493,f503,f517,f518,f519,f525,f530,f537,f542,f547,f556,f561,f571,f583,f588,f592,f593,f598,f603,f612,f619,f620,f626,f632,f633,f634,f640,f641,f646,f651,f656,f661,f666,f675,f680,f685,f686,f694,f700,f706,f711,f717,f723,f724,f725,f730,f735,f737,f738,f740,f745,f751,f756,f757,f764,f770,f776,f787,f789,f790,f795,f804,f810,f811,f817,f822,f827,f832,f837,f838,f843,f848,f853,f857,f858,f865,f870,f875,f877,f883,f884,f894,f899,f905,f917,f922,f928,f929,f934,f935,f941,f946,f951,f956,f957,f958,f963,f968,f973,f978,f983,f984,f985,f1017,f1025,f1034,f1043,f1044,f1053,f1063,f1083,f1084,f1095,f1105,f1140,f1146,f1167,f1168,f1169,f1176,f1194,f1199,f1217,f1227,f1228,f1236,f1241,f1242,f1252,f1294,f1295,f1301,f1309,f1323,f1331,f1367,f1389,f1418,f1421,f1434,f1453,f1455,f1456,f1457,f1458,f1473,f1480,f1482,f1490,f1491,f1510,f1532,f1555,f1562,f1563,f1588,f1626,f1655,f1659,f1695,f1729,f1799,f1806,f1831,f1836,f1904,f1909,f1913,f1932,f2022,f2073,f2126,f2157,f2159,f2163,f2164,f2189,f2191,f2194,f2196,f2197,f2209,f2219,f2228,f2266]) ).

fof(f2266,plain,
    ( spl0_111
    | spl0_29
    | ~ spl0_42
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f2257,f1929,f384,f322,f727]) ).

fof(f727,plain,
    ( spl0_111
  <=> c1_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f322,plain,
    ( spl0_29
  <=> c2_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f384,plain,
    ( spl0_42
  <=> ! [X81] :
        ( c2_1(X81)
        | ~ c0_1(X81)
        | c1_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1929,plain,
    ( spl0_184
  <=> c0_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2257,plain,
    ( c2_1(a828)
    | c1_1(a828)
    | ~ spl0_42
    | ~ spl0_184 ),
    inference(resolution,[],[f385,f1931]) ).

fof(f1931,plain,
    ( c0_1(a828)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1929]) ).

fof(f385,plain,
    ( ! [X81] :
        ( ~ c0_1(X81)
        | c2_1(X81)
        | c1_1(X81) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f2228,plain,
    ( spl0_142
    | spl0_88
    | ~ spl0_85
    | spl0_174 ),
    inference(avatar_split_clause,[],[f2227,f1297,f590,f605,f914]) ).

fof(f914,plain,
    ( spl0_142
  <=> c0_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f605,plain,
    ( spl0_88
  <=> c1_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f590,plain,
    ( spl0_85
  <=> ! [X10] :
        ( c0_1(X10)
        | c1_1(X10)
        | c3_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1297,plain,
    ( spl0_174
  <=> c3_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f2227,plain,
    ( c1_1(a821)
    | c0_1(a821)
    | ~ spl0_85
    | spl0_174 ),
    inference(resolution,[],[f1298,f591]) ).

fof(f591,plain,
    ( ! [X10] :
        ( c3_1(X10)
        | c1_1(X10)
        | c0_1(X10) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f1298,plain,
    ( ~ c3_1(a821)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1297]) ).

fof(f2219,plain,
    ( spl0_92
    | spl0_168
    | ~ spl0_85
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2218,f896,f590,f1143,f623]) ).

fof(f623,plain,
    ( spl0_92
  <=> c0_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1143,plain,
    ( spl0_168
  <=> c1_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f896,plain,
    ( spl0_139
  <=> c3_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2218,plain,
    ( c1_1(a807)
    | c0_1(a807)
    | ~ spl0_85
    | spl0_139 ),
    inference(resolution,[],[f898,f591]) ).

fof(f898,plain,
    ( ~ c3_1(a807)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f2209,plain,
    ( spl0_113
    | spl0_118
    | ~ spl0_85
    | spl0_102 ),
    inference(avatar_split_clause,[],[f2208,f677,f590,f773,f742]) ).

fof(f742,plain,
    ( spl0_113
  <=> c0_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f773,plain,
    ( spl0_118
  <=> c1_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f677,plain,
    ( spl0_102
  <=> c3_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2208,plain,
    ( c1_1(a795)
    | c0_1(a795)
    | ~ spl0_85
    | spl0_102 ),
    inference(resolution,[],[f679,f591]) ).

fof(f679,plain,
    ( ~ c3_1(a795)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f2197,plain,
    ( spl0_129
    | spl0_156
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1923,f279,f240,f1001,f834]) ).

fof(f834,plain,
    ( spl0_129
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1001,plain,
    ( spl0_156
  <=> c3_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f240,plain,
    ( spl0_10
  <=> ! [X99] :
        ( c3_1(X99)
        | ~ c2_1(X99)
        | c0_1(X99) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f279,plain,
    ( spl0_19
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1923,plain,
    ( c3_1(a802)
    | c0_1(a802)
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(resolution,[],[f281,f241]) ).

fof(f241,plain,
    ( ! [X99] :
        ( ~ c2_1(X99)
        | c3_1(X99)
        | c0_1(X99) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f281,plain,
    ( c2_1(a802)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f2196,plain,
    ( spl0_68
    | ~ spl0_96
    | ~ spl0_59
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2054,f1027,f459,f648,f500]) ).

fof(f500,plain,
    ( spl0_68
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f648,plain,
    ( spl0_96
  <=> c2_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f459,plain,
    ( spl0_59
  <=> ! [X66] :
        ( ~ c1_1(X66)
        | c3_1(X66)
        | ~ c2_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1027,plain,
    ( spl0_160
  <=> c1_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f2054,plain,
    ( ~ c2_1(a798)
    | c3_1(a798)
    | ~ spl0_59
    | ~ spl0_160 ),
    inference(resolution,[],[f460,f1029]) ).

fof(f1029,plain,
    ( c1_1(a798)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f460,plain,
    ( ! [X66] :
        ( ~ c1_1(X66)
        | c3_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f2194,plain,
    ( spl0_175
    | spl0_46
    | ~ spl0_34
    | spl0_140 ),
    inference(avatar_split_clause,[],[f2036,f902,f345,f400,f1306]) ).

fof(f1306,plain,
    ( spl0_175
  <=> c0_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f400,plain,
    ( spl0_46
  <=> c2_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f345,plain,
    ( spl0_34
  <=> ! [X33] :
        ( c0_1(X33)
        | c2_1(X33)
        | c1_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f902,plain,
    ( spl0_140
  <=> c1_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2036,plain,
    ( c2_1(a808)
    | c0_1(a808)
    | ~ spl0_34
    | spl0_140 ),
    inference(resolution,[],[f346,f904]) ).

fof(f904,plain,
    ( ~ c1_1(a808)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f346,plain,
    ( ! [X33] :
        ( c1_1(X33)
        | c2_1(X33)
        | c0_1(X33) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f2191,plain,
    ( spl0_164
    | ~ spl0_108
    | ~ spl0_90
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2185,f919,f614,f708,f1080]) ).

fof(f1080,plain,
    ( spl0_164
  <=> c0_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f708,plain,
    ( spl0_108
  <=> c2_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f614,plain,
    ( spl0_90
  <=> ! [X96] :
        ( ~ c2_1(X96)
        | c0_1(X96)
        | ~ c1_1(X96) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f919,plain,
    ( spl0_143
  <=> c1_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2185,plain,
    ( ~ c2_1(a797)
    | c0_1(a797)
    | ~ spl0_90
    | ~ spl0_143 ),
    inference(resolution,[],[f615,f921]) ).

fof(f921,plain,
    ( c1_1(a797)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f615,plain,
    ( ! [X96] :
        ( ~ c1_1(X96)
        | ~ c2_1(X96)
        | c0_1(X96) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f2189,plain,
    ( spl0_101
    | ~ spl0_154
    | ~ spl0_38
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2176,f614,f363,f980,f672]) ).

fof(f672,plain,
    ( spl0_101
  <=> c0_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f980,plain,
    ( spl0_154
  <=> c2_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f363,plain,
    ( spl0_38
  <=> c1_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2176,plain,
    ( ~ c2_1(a809)
    | c0_1(a809)
    | ~ spl0_38
    | ~ spl0_90 ),
    inference(resolution,[],[f615,f365]) ).

fof(f365,plain,
    ( c1_1(a809)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f2164,plain,
    ( spl0_42
    | ~ spl0_43
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2154,f617,f387,f384]) ).

fof(f387,plain,
    ( spl0_43
  <=> ! [X82] :
        ( c2_1(X82)
        | c1_1(X82)
        | c3_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f617,plain,
    ( spl0_91
  <=> ! [X97] :
        ( c1_1(X97)
        | ~ c3_1(X97)
        | ~ c0_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2154,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_43
    | ~ spl0_91 ),
    inference(duplicate_literal_removal,[],[f2130]) ).

fof(f2130,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_43
    | ~ spl0_91 ),
    inference(resolution,[],[f618,f388]) ).

fof(f388,plain,
    ( ! [X82] :
        ( c3_1(X82)
        | c1_1(X82)
        | c2_1(X82) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f618,plain,
    ( ! [X97] :
        ( ~ c3_1(X97)
        | ~ c0_1(X97)
        | c1_1(X97) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f2163,plain,
    ( ~ spl0_131
    | spl0_171
    | ~ spl0_45
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2150,f617,f395,f1224,f845]) ).

fof(f845,plain,
    ( spl0_131
  <=> c0_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1224,plain,
    ( spl0_171
  <=> c1_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f395,plain,
    ( spl0_45
  <=> c3_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2150,plain,
    ( c1_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_45
    | ~ spl0_91 ),
    inference(resolution,[],[f618,f397]) ).

fof(f397,plain,
    ( c3_1(a796)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f2159,plain,
    ( ~ spl0_172
    | spl0_132
    | ~ spl0_91
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2142,f948,f617,f850,f1249]) ).

fof(f1249,plain,
    ( spl0_172
  <=> c0_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f850,plain,
    ( spl0_132
  <=> c1_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f948,plain,
    ( spl0_148
  <=> c3_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f2142,plain,
    ( c1_1(a817)
    | ~ c0_1(a817)
    | ~ spl0_91
    | ~ spl0_148 ),
    inference(resolution,[],[f618,f950]) ).

fof(f950,plain,
    ( c3_1(a817)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f2157,plain,
    ( spl0_150
    | ~ spl0_146
    | ~ spl0_30
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2135,f617,f327,f938,f960]) ).

fof(f960,plain,
    ( spl0_150
  <=> c1_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f938,plain,
    ( spl0_146
  <=> c0_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f327,plain,
    ( spl0_30
  <=> c3_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2135,plain,
    ( ~ c0_1(a799)
    | c1_1(a799)
    | ~ spl0_30
    | ~ spl0_91 ),
    inference(resolution,[],[f618,f329]) ).

fof(f329,plain,
    ( c3_1(a799)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f2126,plain,
    ( ~ spl0_128
    | spl0_60
    | ~ spl0_90
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2120,f1050,f614,f463,f829]) ).

fof(f829,plain,
    ( spl0_128
  <=> c2_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f463,plain,
    ( spl0_60
  <=> c0_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1050,plain,
    ( spl0_161
  <=> c1_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2120,plain,
    ( c0_1(a869)
    | ~ c2_1(a869)
    | ~ spl0_90
    | ~ spl0_161 ),
    inference(resolution,[],[f615,f1051]) ).

fof(f1051,plain,
    ( c1_1(a869)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f2073,plain,
    ( spl0_116
    | ~ spl0_183
    | ~ spl0_59
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2058,f720,f459,f1828,f761]) ).

fof(f761,plain,
    ( spl0_116
  <=> c3_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1828,plain,
    ( spl0_183
  <=> c2_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f720,plain,
    ( spl0_110
  <=> c1_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f2058,plain,
    ( ~ c2_1(a806)
    | c3_1(a806)
    | ~ spl0_59
    | ~ spl0_110 ),
    inference(resolution,[],[f460,f722]) ).

fof(f722,plain,
    ( c1_1(a806)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f2022,plain,
    ( spl0_142
    | spl0_88
    | ~ spl0_22
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2007,f1297,f293,f605,f914]) ).

fof(f293,plain,
    ( spl0_22
  <=> ! [X62] :
        ( c0_1(X62)
        | ~ c3_1(X62)
        | c1_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2007,plain,
    ( c1_1(a821)
    | c0_1(a821)
    | ~ spl0_22
    | ~ spl0_174 ),
    inference(resolution,[],[f294,f1299]) ).

fof(f1299,plain,
    ( c3_1(a821)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1297]) ).

fof(f294,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | c1_1(X62) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f1932,plain,
    ( spl0_29
    | spl0_184
    | ~ spl0_65
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1927,f595,f488,f1929,f322]) ).

fof(f488,plain,
    ( spl0_65
  <=> ! [X42] :
        ( c2_1(X42)
        | c3_1(X42)
        | c0_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f595,plain,
    ( spl0_86
  <=> c3_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1927,plain,
    ( c0_1(a828)
    | c2_1(a828)
    | ~ spl0_65
    | spl0_86 ),
    inference(resolution,[],[f597,f489]) ).

fof(f489,plain,
    ( ! [X42] :
        ( c3_1(X42)
        | c2_1(X42)
        | c0_1(X42) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f597,plain,
    ( ~ c3_1(a828)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f1913,plain,
    ( ~ spl0_146
    | spl0_176
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1878,f423,f327,f1328,f938]) ).

fof(f1328,plain,
    ( spl0_176
  <=> c2_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f423,plain,
    ( spl0_51
  <=> ! [X103] :
        ( ~ c3_1(X103)
        | ~ c0_1(X103)
        | c2_1(X103) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1878,plain,
    ( c2_1(a799)
    | ~ c0_1(a799)
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(resolution,[],[f424,f329]) ).

fof(f424,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | ~ c0_1(X103)
        | c2_1(X103) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f1909,plain,
    ( spl0_46
    | ~ spl0_175
    | ~ spl0_51
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1885,f527,f423,f1306,f400]) ).

fof(f527,plain,
    ( spl0_73
  <=> c3_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1885,plain,
    ( ~ c0_1(a808)
    | c2_1(a808)
    | ~ spl0_51
    | ~ spl0_73 ),
    inference(resolution,[],[f424,f529]) ).

fof(f529,plain,
    ( c3_1(a808)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1904,plain,
    ( ~ spl0_21
    | spl0_95
    | ~ spl0_51
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1887,f1585,f423,f643,f288]) ).

fof(f288,plain,
    ( spl0_21
  <=> c0_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f643,plain,
    ( spl0_95
  <=> c2_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1585,plain,
    ( spl0_181
  <=> c3_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1887,plain,
    ( c2_1(a816)
    | ~ c0_1(a816)
    | ~ spl0_51
    | ~ spl0_181 ),
    inference(resolution,[],[f424,f1587]) ).

fof(f1587,plain,
    ( c3_1(a816)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f1836,plain,
    ( spl0_127
    | spl0_114
    | ~ spl0_71
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1822,f1022,f515,f748,f824]) ).

fof(f824,plain,
    ( spl0_127
  <=> c3_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f748,plain,
    ( spl0_114
  <=> c2_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f515,plain,
    ( spl0_71
  <=> ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74)
        | c3_1(X74) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1022,plain,
    ( spl0_159
  <=> c1_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1822,plain,
    ( c2_1(a856)
    | c3_1(a856)
    | ~ spl0_71
    | ~ spl0_159 ),
    inference(resolution,[],[f516,f1024]) ).

fof(f1024,plain,
    ( c1_1(a856)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f516,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74)
        | c3_1(X74) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f1831,plain,
    ( spl0_116
    | spl0_183
    | ~ spl0_71
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1813,f720,f515,f1828,f761]) ).

fof(f1813,plain,
    ( c2_1(a806)
    | c3_1(a806)
    | ~ spl0_71
    | ~ spl0_110 ),
    inference(resolution,[],[f516,f722]) ).

fof(f1806,plain,
    ( ~ spl0_98
    | spl0_68
    | ~ spl0_66
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1782,f1027,f491,f500,f658]) ).

fof(f658,plain,
    ( spl0_98
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f491,plain,
    ( spl0_66
  <=> ! [X41] :
        ( ~ c0_1(X41)
        | c3_1(X41)
        | ~ c1_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1782,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_66
    | ~ spl0_160 ),
    inference(resolution,[],[f492,f1029]) ).

fof(f492,plain,
    ( ! [X41] :
        ( ~ c1_1(X41)
        | c3_1(X41)
        | ~ c0_1(X41) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1799,plain,
    ( ~ spl0_151
    | spl0_116
    | ~ spl0_66
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1785,f720,f491,f761,f965]) ).

fof(f965,plain,
    ( spl0_151
  <=> c0_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1785,plain,
    ( c3_1(a806)
    | ~ c0_1(a806)
    | ~ spl0_66
    | ~ spl0_110 ),
    inference(resolution,[],[f492,f722]) ).

fof(f1729,plain,
    ( spl0_115
    | spl0_152
    | ~ spl0_53
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1707,f553,f431,f970,f753]) ).

fof(f753,plain,
    ( spl0_115
  <=> c0_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f970,plain,
    ( spl0_152
  <=> c2_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f431,plain,
    ( spl0_53
  <=> ! [X71] :
        ( c0_1(X71)
        | ~ c3_1(X71)
        | c2_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f553,plain,
    ( spl0_78
  <=> c3_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1707,plain,
    ( c2_1(a794)
    | c0_1(a794)
    | ~ spl0_53
    | ~ spl0_78 ),
    inference(resolution,[],[f432,f555]) ).

fof(f555,plain,
    ( c3_1(a794)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f432,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f1695,plain,
    ( ~ spl0_135
    | spl0_147
    | ~ spl0_23
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1680,f438,f296,f943,f872]) ).

fof(f872,plain,
    ( spl0_135
  <=> c1_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f943,plain,
    ( spl0_147
  <=> c2_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f296,plain,
    ( spl0_23
  <=> ! [X63] :
        ( c2_1(X63)
        | ~ c3_1(X63)
        | ~ c1_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f438,plain,
    ( spl0_55
  <=> c3_1(a803) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1680,plain,
    ( c2_1(a803)
    | ~ c1_1(a803)
    | ~ spl0_23
    | ~ spl0_55 ),
    inference(resolution,[],[f297,f440]) ).

fof(f440,plain,
    ( c3_1(a803)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f297,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c2_1(X63)
        | ~ c1_1(X63) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f1659,plain,
    ( spl0_153
    | spl0_82
    | ~ spl0_10
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1646,f1358,f240,f576,f975]) ).

fof(f975,plain,
    ( spl0_153
  <=> c3_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f576,plain,
    ( spl0_82
  <=> c0_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1358,plain,
    ( spl0_177
  <=> c2_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1646,plain,
    ( c0_1(a814)
    | c3_1(a814)
    | ~ spl0_10
    | ~ spl0_177 ),
    inference(resolution,[],[f241,f1359]) ).

fof(f1359,plain,
    ( c2_1(a814)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f1655,plain,
    ( spl0_173
    | spl0_101
    | ~ spl0_10
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1645,f980,f240,f672,f1291]) ).

fof(f1291,plain,
    ( spl0_173
  <=> c3_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1645,plain,
    ( c0_1(a809)
    | c3_1(a809)
    | ~ spl0_10
    | ~ spl0_154 ),
    inference(resolution,[],[f241,f982]) ).

fof(f982,plain,
    ( c2_1(a809)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f1626,plain,
    ( ~ spl0_128
    | spl0_161
    | ~ spl0_36
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1622,f374,f353,f1050,f829]) ).

fof(f353,plain,
    ( spl0_36
  <=> ! [X6] :
        ( ~ c3_1(X6)
        | c1_1(X6)
        | ~ c2_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f374,plain,
    ( spl0_40
  <=> c3_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1622,plain,
    ( c1_1(a869)
    | ~ c2_1(a869)
    | ~ spl0_36
    | ~ spl0_40 ),
    inference(resolution,[],[f354,f376]) ).

fof(f376,plain,
    ( c3_1(a869)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f354,plain,
    ( ! [X6] :
        ( ~ c3_1(X6)
        | c1_1(X6)
        | ~ c2_1(X6) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f1588,plain,
    ( spl0_181
    | spl0_134
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1573,f288,f251,f867,f1585]) ).

fof(f867,plain,
    ( spl0_134
  <=> c1_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f251,plain,
    ( spl0_13
  <=> ! [X55] :
        ( ~ c0_1(X55)
        | c3_1(X55)
        | c1_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1573,plain,
    ( c1_1(a816)
    | c3_1(a816)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(resolution,[],[f252,f290]) ).

fof(f290,plain,
    ( c0_1(a816)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f252,plain,
    ( ! [X55] :
        ( ~ c0_1(X55)
        | c3_1(X55)
        | c1_1(X55) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1563,plain,
    ( ~ spl0_133
    | ~ spl0_103
    | ~ spl0_4
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1559,f1364,f216,f682,f862]) ).

fof(f862,plain,
    ( spl0_133
  <=> c2_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f682,plain,
    ( spl0_103
  <=> c0_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f216,plain,
    ( spl0_4
  <=> ! [X95] :
        ( ~ c0_1(X95)
        | ~ c3_1(X95)
        | ~ c2_1(X95) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1364,plain,
    ( spl0_178
  <=> c3_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f1559,plain,
    ( ~ c0_1(a829)
    | ~ c2_1(a829)
    | ~ spl0_4
    | ~ spl0_178 ),
    inference(resolution,[],[f1366,f217]) ).

fof(f217,plain,
    ( ! [X95] :
        ( ~ c3_1(X95)
        | ~ c0_1(X95)
        | ~ c2_1(X95) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f1366,plain,
    ( c3_1(a829)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1364]) ).

fof(f1562,plain,
    ( ~ spl0_103
    | ~ spl0_17
    | ~ spl0_12
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f1561,f1364,f248,f269,f682]) ).

fof(f269,plain,
    ( spl0_17
  <=> c1_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f248,plain,
    ( spl0_12
  <=> ! [X56] :
        ( ~ c3_1(X56)
        | ~ c1_1(X56)
        | ~ c0_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1561,plain,
    ( ~ c1_1(a829)
    | ~ c0_1(a829)
    | ~ spl0_12
    | ~ spl0_178 ),
    inference(resolution,[],[f1366,f249]) ).

fof(f249,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | ~ c1_1(X56)
        | ~ c0_1(X56) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f1555,plain,
    ( ~ spl0_38
    | spl0_101
    | ~ spl0_7
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1553,f1291,f228,f672,f363]) ).

fof(f228,plain,
    ( spl0_7
  <=> ! [X40] :
        ( ~ c3_1(X40)
        | ~ c1_1(X40)
        | c0_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1553,plain,
    ( c0_1(a809)
    | ~ c1_1(a809)
    | ~ spl0_7
    | ~ spl0_173 ),
    inference(resolution,[],[f1293,f229]) ).

fof(f229,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | ~ c1_1(X40)
        | c0_1(X40) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f1293,plain,
    ( c3_1(a809)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f1532,plain,
    ( spl0_97
    | ~ spl0_76
    | ~ spl0_7
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1527,f1196,f228,f544,f653]) ).

fof(f653,plain,
    ( spl0_97
  <=> c0_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f544,plain,
    ( spl0_76
  <=> c1_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1196,plain,
    ( spl0_170
  <=> c3_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1527,plain,
    ( ~ c1_1(a833)
    | c0_1(a833)
    | ~ spl0_7
    | ~ spl0_170 ),
    inference(resolution,[],[f1198,f229]) ).

fof(f1198,plain,
    ( c3_1(a833)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1510,plain,
    ( spl0_136
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1507,f1001,f353,f279,f880]) ).

fof(f880,plain,
    ( spl0_136
  <=> c1_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1507,plain,
    ( ~ c2_1(a802)
    | c1_1(a802)
    | ~ spl0_36
    | ~ spl0_156 ),
    inference(resolution,[],[f1003,f354]) ).

fof(f1003,plain,
    ( c3_1(a802)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1491,plain,
    ( ~ spl0_119
    | ~ spl0_112
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1485,f801,f248,f732,f778]) ).

fof(f778,plain,
    ( spl0_119
  <=> c0_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f732,plain,
    ( spl0_112
  <=> c1_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f801,plain,
    ( spl0_123
  <=> c3_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1485,plain,
    ( ~ c1_1(a867)
    | ~ c0_1(a867)
    | ~ spl0_12
    | ~ spl0_123 ),
    inference(resolution,[],[f803,f249]) ).

fof(f803,plain,
    ( c3_1(a867)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f1490,plain,
    ( ~ spl0_112
    | spl0_119
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1484,f801,f228,f778,f732]) ).

fof(f1484,plain,
    ( c0_1(a867)
    | ~ c1_1(a867)
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(resolution,[],[f803,f229]) ).

fof(f1482,plain,
    ( ~ spl0_120
    | spl0_57
    | ~ spl0_24
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1469,f1137,f300,f448,f784]) ).

fof(f784,plain,
    ( spl0_120
  <=> c0_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f448,plain,
    ( spl0_57
  <=> c3_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f300,plain,
    ( spl0_24
  <=> ! [X18] :
        ( ~ c2_1(X18)
        | c3_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1137,plain,
    ( spl0_167
  <=> c2_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1469,plain,
    ( c3_1(a862)
    | ~ c0_1(a862)
    | ~ spl0_24
    | ~ spl0_167 ),
    inference(resolution,[],[f301,f1139]) ).

fof(f1139,plain,
    ( c2_1(a862)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f301,plain,
    ( ! [X18] :
        ( ~ c2_1(X18)
        | c3_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f1480,plain,
    ( ~ spl0_98
    | spl0_68
    | ~ spl0_24
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1463,f648,f300,f500,f658]) ).

fof(f1463,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_24
    | ~ spl0_96 ),
    inference(resolution,[],[f301,f650]) ).

fof(f650,plain,
    ( c2_1(a798)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f1473,plain,
    ( ~ spl0_103
    | spl0_178
    | ~ spl0_24
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1472,f862,f300,f1364,f682]) ).

fof(f1472,plain,
    ( c3_1(a829)
    | ~ c0_1(a829)
    | ~ spl0_24
    | ~ spl0_133 ),
    inference(resolution,[],[f301,f864]) ).

fof(f864,plain,
    ( c2_1(a829)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f1458,plain,
    ( spl0_39
    | spl0_139
    | ~ spl0_71
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1442,f1143,f515,f896,f368]) ).

fof(f368,plain,
    ( spl0_39
  <=> c2_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1442,plain,
    ( c3_1(a807)
    | c2_1(a807)
    | ~ spl0_71
    | ~ spl0_168 ),
    inference(resolution,[],[f516,f1145]) ).

fof(f1145,plain,
    ( c1_1(a807)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f1457,plain,
    ( spl0_130
    | spl0_64
    | ~ spl0_71
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1441,f629,f515,f481,f840]) ).

fof(f840,plain,
    ( spl0_130
  <=> c3_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f481,plain,
    ( spl0_64
  <=> c2_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f629,plain,
    ( spl0_93
  <=> c1_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1441,plain,
    ( c2_1(a805)
    | c3_1(a805)
    | ~ spl0_71
    | ~ spl0_93 ),
    inference(resolution,[],[f516,f631]) ).

fof(f631,plain,
    ( c1_1(a805)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f1456,plain,
    ( spl0_65
    | ~ spl0_34
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1451,f515,f345,f488]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_34
    | ~ spl0_71 ),
    inference(duplicate_literal_removal,[],[f1440]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_71 ),
    inference(resolution,[],[f516,f346]) ).

fof(f1455,plain,
    ( spl0_153
    | spl0_177
    | ~ spl0_71
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1444,f714,f515,f1358,f975]) ).

fof(f714,plain,
    ( spl0_109
  <=> c1_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1444,plain,
    ( c2_1(a814)
    | c3_1(a814)
    | ~ spl0_71
    | ~ spl0_109 ),
    inference(resolution,[],[f516,f716]) ).

fof(f716,plain,
    ( c1_1(a814)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f1453,plain,
    ( spl0_107
    | spl0_170
    | ~ spl0_71
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1446,f544,f515,f1196,f703]) ).

fof(f703,plain,
    ( spl0_107
  <=> c2_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1446,plain,
    ( c3_1(a833)
    | c2_1(a833)
    | ~ spl0_71
    | ~ spl0_76 ),
    inference(resolution,[],[f516,f546]) ).

fof(f546,plain,
    ( c1_1(a833)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f1434,plain,
    ( spl0_130
    | ~ spl0_169
    | ~ spl0_66
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1423,f629,f491,f1191,f840]) ).

fof(f1191,plain,
    ( spl0_169
  <=> c0_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1423,plain,
    ( ~ c0_1(a805)
    | c3_1(a805)
    | ~ spl0_66
    | ~ spl0_93 ),
    inference(resolution,[],[f492,f631]) ).

fof(f1421,plain,
    ( spl0_177
    | spl0_82
    | ~ spl0_65
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1406,f975,f488,f576,f1358]) ).

fof(f1406,plain,
    ( c0_1(a814)
    | c2_1(a814)
    | ~ spl0_65
    | spl0_153 ),
    inference(resolution,[],[f489,f977]) ).

fof(f977,plain,
    ( ~ c3_1(a814)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f1418,plain,
    ( spl0_92
    | spl0_39
    | ~ spl0_65
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1405,f896,f488,f368,f623]) ).

fof(f1405,plain,
    ( c2_1(a807)
    | c0_1(a807)
    | ~ spl0_65
    | spl0_139 ),
    inference(resolution,[],[f489,f898]) ).

fof(f1389,plain,
    ( ~ spl0_143
    | spl0_164
    | ~ spl0_7
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1388,f819,f228,f1080,f919]) ).

fof(f819,plain,
    ( spl0_126
  <=> c3_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1388,plain,
    ( c0_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_7
    | ~ spl0_126 ),
    inference(resolution,[],[f229,f821]) ).

fof(f821,plain,
    ( c3_1(a797)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f1367,plain,
    ( ~ spl0_133
    | spl0_178
    | ~ spl0_17
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1353,f459,f269,f1364,f862]) ).

fof(f1353,plain,
    ( c3_1(a829)
    | ~ c2_1(a829)
    | ~ spl0_17
    | ~ spl0_59 ),
    inference(resolution,[],[f460,f271]) ).

fof(f271,plain,
    ( c1_1(a829)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f1331,plain,
    ( ~ spl0_176
    | spl0_150
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1324,f353,f327,f960,f1328]) ).

fof(f1324,plain,
    ( c1_1(a799)
    | ~ c2_1(a799)
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(resolution,[],[f329,f354]) ).

fof(f1323,plain,
    ( spl0_132
    | ~ spl0_33
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1315,f948,f353,f340,f850]) ).

fof(f340,plain,
    ( spl0_33
  <=> c2_1(a817) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1315,plain,
    ( ~ c2_1(a817)
    | c1_1(a817)
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(resolution,[],[f354,f950]) ).

fof(f1309,plain,
    ( spl0_175
    | spl0_140
    | ~ spl0_22
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1303,f527,f293,f902,f1306]) ).

fof(f1303,plain,
    ( c1_1(a808)
    | c0_1(a808)
    | ~ spl0_22
    | ~ spl0_73 ),
    inference(resolution,[],[f529,f294]) ).

fof(f1301,plain,
    ( spl0_82
    | spl0_153
    | ~ spl0_54
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1280,f714,f434,f975,f576]) ).

fof(f434,plain,
    ( spl0_54
  <=> ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1280,plain,
    ( c3_1(a814)
    | c0_1(a814)
    | ~ spl0_54
    | ~ spl0_109 ),
    inference(resolution,[],[f435,f716]) ).

fof(f435,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c3_1(X72)
        | c0_1(X72) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f1295,plain,
    ( spl0_139
    | spl0_92
    | ~ spl0_54
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1278,f1143,f434,f623,f896]) ).

fof(f1278,plain,
    ( c0_1(a807)
    | c3_1(a807)
    | ~ spl0_54
    | ~ spl0_168 ),
    inference(resolution,[],[f435,f1145]) ).

fof(f1294,plain,
    ( spl0_101
    | spl0_173
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1279,f434,f363,f1291,f672]) ).

fof(f1279,plain,
    ( c3_1(a809)
    | c0_1(a809)
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(resolution,[],[f435,f365]) ).

fof(f1252,plain,
    ( spl0_132
    | spl0_172
    | ~ spl0_22
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1246,f948,f293,f1249,f850]) ).

fof(f1246,plain,
    ( c0_1(a817)
    | c1_1(a817)
    | ~ spl0_22
    | ~ spl0_148 ),
    inference(resolution,[],[f950,f294]) ).

fof(f1242,plain,
    ( spl0_107
    | ~ spl0_76
    | ~ spl0_23
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1238,f1196,f296,f544,f703]) ).

fof(f1238,plain,
    ( ~ c1_1(a833)
    | c2_1(a833)
    | ~ spl0_23
    | ~ spl0_170 ),
    inference(resolution,[],[f1198,f297]) ).

fof(f1241,plain,
    ( spl0_97
    | spl0_107
    | ~ spl0_53
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1237,f1196,f431,f703,f653]) ).

fof(f1237,plain,
    ( c2_1(a833)
    | c0_1(a833)
    | ~ spl0_53
    | ~ spl0_170 ),
    inference(resolution,[],[f1198,f432]) ).

fof(f1236,plain,
    ( spl0_171
    | ~ spl0_144
    | ~ spl0_36
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1234,f395,f353,f925,f1224]) ).

fof(f925,plain,
    ( spl0_144
  <=> c2_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1234,plain,
    ( ~ c2_1(a796)
    | c1_1(a796)
    | ~ spl0_36
    | ~ spl0_45 ),
    inference(resolution,[],[f354,f397]) ).

fof(f1228,plain,
    ( ~ spl0_131
    | ~ spl0_144
    | ~ spl0_4
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1222,f395,f216,f925,f845]) ).

fof(f1222,plain,
    ( ~ c2_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_4
    | ~ spl0_45 ),
    inference(resolution,[],[f397,f217]) ).

fof(f1227,plain,
    ( ~ spl0_171
    | ~ spl0_131
    | ~ spl0_12
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1221,f395,f248,f845,f1224]) ).

fof(f1221,plain,
    ( ~ c0_1(a796)
    | ~ c1_1(a796)
    | ~ spl0_12
    | ~ spl0_45 ),
    inference(resolution,[],[f397,f249]) ).

fof(f1217,plain,
    ( ~ spl0_143
    | ~ spl0_108
    | ~ spl0_62
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1213,f819,f473,f708,f919]) ).

fof(f473,plain,
    ( spl0_62
  <=> ! [X89] :
        ( ~ c3_1(X89)
        | ~ c1_1(X89)
        | ~ c2_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1213,plain,
    ( ~ c2_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_62
    | ~ spl0_126 ),
    inference(resolution,[],[f474,f821]) ).

fof(f474,plain,
    ( ! [X89] :
        ( ~ c3_1(X89)
        | ~ c2_1(X89)
        | ~ c1_1(X89) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f1199,plain,
    ( spl0_170
    | spl0_97
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1184,f544,f434,f653,f1196]) ).

fof(f1184,plain,
    ( c0_1(a833)
    | c3_1(a833)
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(resolution,[],[f435,f546]) ).

fof(f1194,plain,
    ( spl0_169
    | spl0_130
    | ~ spl0_54
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1182,f629,f434,f840,f1191]) ).

fof(f1182,plain,
    ( c3_1(a805)
    | c0_1(a805)
    | ~ spl0_54
    | ~ spl0_93 ),
    inference(resolution,[],[f435,f631]) ).

fof(f1176,plain,
    ( spl0_106
    | ~ spl0_99
    | ~ spl0_51
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1172,f568,f423,f663,f697]) ).

fof(f697,plain,
    ( spl0_106
  <=> c2_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f663,plain,
    ( spl0_99
  <=> c0_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f568,plain,
    ( spl0_81
  <=> c3_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1172,plain,
    ( ~ c0_1(a838)
    | c2_1(a838)
    | ~ spl0_51
    | ~ spl0_81 ),
    inference(resolution,[],[f424,f570]) ).

fof(f570,plain,
    ( c3_1(a838)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1169,plain,
    ( spl0_167
    | spl0_94
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1162,f784,f384,f637,f1137]) ).

fof(f637,plain,
    ( spl0_94
  <=> c1_1(a862) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1162,plain,
    ( c1_1(a862)
    | c2_1(a862)
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f385,f786]) ).

fof(f786,plain,
    ( c0_1(a862)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f1168,plain,
    ( spl0_106
    | spl0_158
    | ~ spl0_42
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1160,f663,f384,f1014,f697]) ).

fof(f1014,plain,
    ( spl0_158
  <=> c1_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1160,plain,
    ( c1_1(a838)
    | c2_1(a838)
    | ~ spl0_42
    | ~ spl0_99 ),
    inference(resolution,[],[f385,f665]) ).

fof(f665,plain,
    ( c0_1(a838)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f1167,plain,
    ( spl0_134
    | spl0_95
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1158,f384,f288,f643,f867]) ).

fof(f1158,plain,
    ( c2_1(a816)
    | c1_1(a816)
    | ~ spl0_21
    | ~ spl0_42 ),
    inference(resolution,[],[f385,f290]) ).

fof(f1146,plain,
    ( spl0_39
    | spl0_168
    | ~ spl0_43
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1125,f896,f387,f1143,f368]) ).

fof(f1125,plain,
    ( c1_1(a807)
    | c2_1(a807)
    | ~ spl0_43
    | spl0_139 ),
    inference(resolution,[],[f388,f898]) ).

fof(f1140,plain,
    ( spl0_167
    | spl0_94
    | ~ spl0_43
    | spl0_57 ),
    inference(avatar_split_clause,[],[f1127,f448,f387,f637,f1137]) ).

fof(f1127,plain,
    ( c1_1(a862)
    | c2_1(a862)
    | ~ spl0_43
    | spl0_57 ),
    inference(resolution,[],[f388,f450]) ).

fof(f450,plain,
    ( ~ c3_1(a862)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f1105,plain,
    ( spl0_138
    | spl0_142
    | ~ spl0_34
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1102,f605,f345,f914,f891]) ).

fof(f891,plain,
    ( spl0_138
  <=> c2_1(a821) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1102,plain,
    ( c0_1(a821)
    | c2_1(a821)
    | ~ spl0_34
    | spl0_88 ),
    inference(resolution,[],[f346,f607]) ).

fof(f607,plain,
    ( ~ c1_1(a821)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f1095,plain,
    ( spl0_161
    | spl0_60
    | ~ spl0_22
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1093,f374,f293,f463,f1050]) ).

fof(f1093,plain,
    ( c0_1(a869)
    | c1_1(a869)
    | ~ spl0_22
    | ~ spl0_40 ),
    inference(resolution,[],[f294,f376]) ).

fof(f1084,plain,
    ( ~ spl0_164
    | ~ spl0_108
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1078,f819,f216,f708,f1080]) ).

fof(f1078,plain,
    ( ~ c2_1(a797)
    | ~ c0_1(a797)
    | ~ spl0_4
    | ~ spl0_126 ),
    inference(resolution,[],[f821,f217]) ).

fof(f1083,plain,
    ( ~ spl0_143
    | ~ spl0_164
    | ~ spl0_12
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1077,f819,f248,f1080,f919]) ).

fof(f1077,plain,
    ( ~ c0_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_12
    | ~ spl0_126 ),
    inference(resolution,[],[f821,f249]) ).

fof(f1063,plain,
    ( spl0_79
    | ~ spl0_121
    | ~ spl0_7
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1061,f585,f228,f792,f558]) ).

fof(f558,plain,
    ( spl0_79
  <=> c0_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f792,plain,
    ( spl0_121
  <=> c1_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f585,plain,
    ( spl0_84
  <=> c3_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1061,plain,
    ( ~ c1_1(a840)
    | c0_1(a840)
    | ~ spl0_7
    | ~ spl0_84 ),
    inference(resolution,[],[f587,f229]) ).

fof(f587,plain,
    ( c3_1(a840)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1053,plain,
    ( spl0_60
    | ~ spl0_161
    | ~ spl0_7
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1047,f374,f228,f1050,f463]) ).

fof(f1047,plain,
    ( ~ c1_1(a869)
    | c0_1(a869)
    | ~ spl0_7
    | ~ spl0_40 ),
    inference(resolution,[],[f376,f229]) ).

fof(f1044,plain,
    ( spl0_160
    | spl0_68
    | ~ spl0_26
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1041,f648,f308,f500,f1027]) ).

fof(f308,plain,
    ( spl0_26
  <=> ! [X83] :
        ( c1_1(X83)
        | c3_1(X83)
        | ~ c2_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1041,plain,
    ( c3_1(a798)
    | c1_1(a798)
    | ~ spl0_26
    | ~ spl0_96 ),
    inference(resolution,[],[f309,f650]) ).

fof(f309,plain,
    ( ! [X83] :
        ( ~ c2_1(X83)
        | c1_1(X83)
        | c3_1(X83) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f1043,plain,
    ( spl0_149
    | spl0_75
    | ~ spl0_26
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1040,f600,f308,f539,f953]) ).

fof(f953,plain,
    ( spl0_149
  <=> c1_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f539,plain,
    ( spl0_75
  <=> c3_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f600,plain,
    ( spl0_87
  <=> c2_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1040,plain,
    ( c3_1(a832)
    | c1_1(a832)
    | ~ spl0_26
    | ~ spl0_87 ),
    inference(resolution,[],[f309,f602]) ).

fof(f602,plain,
    ( c2_1(a832)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1034,plain,
    ( spl0_124
    | spl0_145
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1031,f405,f293,f931,f807]) ).

fof(f807,plain,
    ( spl0_124
  <=> c1_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f931,plain,
    ( spl0_145
  <=> c0_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f405,plain,
    ( spl0_47
  <=> c3_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1031,plain,
    ( c0_1(a800)
    | c1_1(a800)
    | ~ spl0_22
    | ~ spl0_47 ),
    inference(resolution,[],[f294,f407]) ).

fof(f407,plain,
    ( c3_1(a800)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f1025,plain,
    ( spl0_159
    | spl0_127
    | ~ spl0_13
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1018,f414,f251,f824,f1022]) ).

fof(f414,plain,
    ( spl0_49
  <=> c0_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1018,plain,
    ( c3_1(a856)
    | c1_1(a856)
    | ~ spl0_13
    | ~ spl0_49 ),
    inference(resolution,[],[f252,f416]) ).

fof(f416,plain,
    ( c0_1(a856)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1017,plain,
    ( ~ spl0_158
    | ~ spl0_99
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1012,f568,f248,f663,f1014]) ).

fof(f1012,plain,
    ( ~ c0_1(a838)
    | ~ c1_1(a838)
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(resolution,[],[f249,f570]) ).

fof(f985,plain,
    ( spl0_90
    | spl0_53
    | spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f12,f208,f300,f431,f614]) ).

fof(f208,plain,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,plain,
    ! [X80,X78,X79] :
      ( ~ ndr1_0
      | ~ c0_1(X78)
      | c0_1(X79)
      | ~ c1_1(X80)
      | ~ c2_1(X78)
      | ~ c3_1(X79)
      | ~ c2_1(X80)
      | c0_1(X80)
      | c3_1(X78)
      | c2_1(X79) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0
          | c1_1(X6) )
      | hskp28
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c1_1(X7)
          | ~ c3_1(X7)
          | ~ c0_1(X7) ) )
    & ( hskp4
      | ! [X10] :
          ( ~ ndr1_0
          | c0_1(X10)
          | c1_1(X10)
          | c3_1(X10) )
      | hskp3 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40) )
      | hskp18
      | hskp14 )
    & ( ! [X39] :
          ( ~ ndr1_0
          | c1_1(X39)
          | c3_1(X39)
          | c2_1(X39) )
      | hskp19
      | ! [X38] :
          ( ~ ndr1_0
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38) ) )
    & ( ( ndr1_0
        & ~ c1_1(a808)
        & ~ c2_1(a808)
        & c3_1(a808) )
      | ~ hskp11 )
    & ( ( c0_1(a856)
        & ~ c2_1(a856)
        & ndr1_0
        & ~ c3_1(a856) )
      | ~ hskp23 )
    & ( ! [X41] :
          ( c3_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0
          | c0_1(X42) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c0_1(X43)
          | ~ c1_1(X43) ) )
    & ( ( ~ c2_1(a794)
        & c3_1(a794)
        & ~ c0_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c2_1(X80)
          | c0_1(X80) ) )
    & ( ~ hskp27
      | ( c2_1(a796)
        & ndr1_0
        & c3_1(a796)
        & c0_1(a796) ) )
    & ( hskp5
      | ! [X99] :
          ( c0_1(X99)
          | c3_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X83] :
          ( ~ c2_1(X83)
          | c3_1(X83)
          | ~ ndr1_0
          | c1_1(X83) )
      | hskp0
      | hskp21 )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ ndr1_0
          | c2_1(X93)
          | c3_1(X93) )
      | hskp19
      | hskp28 )
    & ( hskp2
      | ! [X1] :
          ( c1_1(X1)
          | ~ ndr1_0
          | c2_1(X1)
          | c0_1(X1) )
      | hskp1 )
    & ( ( c0_1(a798)
        & c2_1(a798)
        & ndr1_0
        & ~ c3_1(a798) )
      | ~ hskp3 )
    & ( ~ hskp13
      | ( c1_1(a814)
        & ~ c0_1(a814)
        & ndr1_0
        & ~ c3_1(a814) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a817)
        & c2_1(a817)
        & ~ c1_1(a817) ) )
    & ( ! [X94] :
          ( ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0
          | c0_1(X94) )
      | hskp29
      | hskp9 )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a809)
        & ~ c0_1(a809)
        & c2_1(a809) ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp12
      | ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | c3_1(X11)
          | ~ c2_1(X11) ) )
    & ( hskp20
      | hskp30
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | hskp1
      | hskp13 )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a829)
        & c2_1(a829)
        & c0_1(a829) ) )
    & ( ( c2_1(a793)
        & ndr1_0
        & ~ c1_1(a793)
        & c0_1(a793) )
      | ~ hskp0 )
    & ( ! [X65] :
          ( ~ ndr1_0
          | c2_1(X65)
          | ~ c3_1(X65)
          | c0_1(X65) )
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0
          | c3_1(X66) )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0
          | ~ c1_1(X67) ) )
    & ( hskp27
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0
          | ~ c2_1(X89) )
      | hskp19 )
    & ( ! [X56] :
          ( ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ ndr1_0
          | ~ c0_1(X55) )
      | hskp22 )
    & ( hskp8
      | hskp28
      | hskp10 )
    & ( ! [X102] :
          ( c3_1(X102)
          | c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101) )
      | hskp4 )
    & ( ! [X32] :
          ( c1_1(X32)
          | ~ ndr1_0
          | c3_1(X32)
          | c0_1(X32) )
      | hskp28
      | hskp27 )
    & ( ( c0_1(a867)
        & c1_1(a867)
        & ndr1_0
        & c3_1(a867) )
      | ~ hskp30 )
    & ( hskp6
      | ! [X62] :
          ( c0_1(X62)
          | c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | c2_1(X63) ) )
    & ( ~ hskp6
      | ( ~ c0_1(a802)
        & c2_1(a802)
        & ~ c1_1(a802)
        & ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c2_1(X36)
          | ~ ndr1_0
          | ~ c1_1(X36)
          | c0_1(X36) )
      | ! [X35] :
          ( c3_1(X35)
          | ~ ndr1_0
          | c2_1(X35)
          | ~ c1_1(X35) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37) ) )
    & ( ! [X18] :
          ( ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0
          | c3_1(X18) )
      | hskp5
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ c3_1(X17) ) )
    & ( ! [X27] :
          ( ~ c1_1(X27)
          | ~ ndr1_0
          | ~ c0_1(X27)
          | ~ c2_1(X27) )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0
          | ~ c0_1(X28) )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0
          | c0_1(X26) ) )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ ndr1_0
          | c2_1(X70)
          | c3_1(X70) )
      | ! [X68] :
          ( c2_1(X68)
          | c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ ndr1_0
          | c3_1(X69)
          | c1_1(X69) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | c0_1(X76)
          | ~ c3_1(X76)
          | c1_1(X76) )
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | hskp7 )
    & ( hskp11
      | hskp26
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0
          | ~ c2_1(X95) ) )
    & ( ! [X48] :
          ( ~ ndr1_0
          | c0_1(X48)
          | ~ c3_1(X48)
          | ~ c1_1(X48) )
      | hskp17
      | hskp0 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ ndr1_0
          | c3_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( c1_1(X50)
          | ~ c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ ndr1_0
          | c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49) ) )
    & ( ~ hskp14
      | ( ~ c1_1(a816)
        & ~ c2_1(a816)
        & c0_1(a816)
        & ndr1_0 ) )
    & ( hskp11
      | hskp1
      | hskp22 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840) ) )
    & ( ! [X60] :
          ( ~ c1_1(X60)
          | ~ c3_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ ndr1_0
          | c3_1(X59)
          | c0_1(X59)
          | ~ c2_1(X59) ) )
    & ( ~ hskp4
      | ( c0_1(a799)
        & ndr1_0
        & ~ c1_1(a799)
        & c3_1(a799) ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ ndr1_0
          | c2_1(X86)
          | ~ c0_1(X86) )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ ndr1_0
          | c0_1(X84)
          | c1_1(X84) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | c1_1(X85) ) )
    & ( ( c1_1(a806)
        & ~ c3_1(a806)
        & ndr1_0
        & c0_1(a806) )
      | ~ hskp9 )
    & ( hskp29
      | ! [X74] :
          ( ~ ndr1_0
          | c2_1(X74)
          | ~ c1_1(X74)
          | c3_1(X74) )
      | ! [X73] :
          ( c2_1(X73)
          | c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ~ hskp7
      | ( c3_1(a803)
        & c1_1(a803)
        & ~ c2_1(a803)
        & ndr1_0 ) )
    & ( hskp11
      | hskp21
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c2_1(X29) ) )
    & ( hskp28
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c0_1(X57)
          | ~ c3_1(X57)
          | c2_1(X57) ) )
    & ( hskp27
      | hskp28
      | hskp21 )
    & ( ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ c1_1(X106) )
      | hskp25
      | hskp1 )
    & ( ! [X20] :
          ( ~ ndr1_0
          | ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20) )
      | hskp12
      | ! [X19] :
          ( c2_1(X19)
          | ~ ndr1_0
          | c3_1(X19)
          | ~ c1_1(X19) ) )
    & ( hskp4
      | hskp5
      | hskp26 )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp20
      | hskp9 )
    & ( ( ndr1_0
        & c1_1(a805)
        & ~ c2_1(a805)
        & ~ c3_1(a805) )
      | ~ hskp8 )
    & ( hskp4
      | hskp24
      | hskp5 )
    & ( hskp0
      | ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ ndr1_0
          | c1_1(X33) )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ ndr1_0
          | c3_1(X34)
          | ~ c0_1(X34) ) )
    & ( ! [X98] :
          ( ~ c0_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | hskp4
      | hskp28 )
    & ( hskp21
      | hskp18
      | ! [X100] :
          ( c2_1(X100)
          | ~ c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c0_1(X110)
          | ~ c2_1(X110)
          | c3_1(X110)
          | ~ ndr1_0 )
      | hskp15
      | ! [X109] :
          ( ~ c1_1(X109)
          | ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c3_1(X109) ) )
    & ( ( ~ c0_1(a833)
        & ~ c2_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0
          | ~ c3_1(X13) )
      | hskp10
      | hskp1 )
    & ( hskp14
      | hskp22
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ c0_1(X105) ) )
    & ( hskp14
      | hskp24
      | ! [X0] :
          ( ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c0_1(X90)
          | ~ c2_1(X90)
          | ~ c1_1(X90) )
      | ! [X91] :
          ( ~ ndr1_0
          | c1_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91) )
      | hskp14 )
    & ( ( ~ c3_1(a807)
        & ndr1_0
        & ~ c2_1(a807)
        & ~ c0_1(a807) )
      | ~ hskp10 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ ndr1_0
          | ~ c2_1(X87)
          | c0_1(X87) )
      | hskp16
      | hskp13 )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c3_1(X30) )
      | hskp3 )
    & ( hskp14
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | ~ c2_1(X8)
          | c0_1(X8) )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 ) )
    & ( ~ hskp17
      | ( ~ c2_1(a825)
        & ndr1_0
        & c0_1(a825)
        & c1_1(a825) ) )
    & ( hskp13
      | hskp6
      | ! [X88] :
          ( c3_1(X88)
          | c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ ndr1_0
          | ~ c0_1(X92)
          | ~ c1_1(X92) )
      | hskp13
      | hskp23 )
    & ( ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c0_1(X21)
          | ~ c3_1(X21)
          | c2_1(X21) )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a862)
        & ~ c3_1(a862)
        & ~ c1_1(a862) ) )
    & ( ( c1_1(a797)
        & ndr1_0
        & c3_1(a797)
        & c2_1(a797) )
      | ~ hskp28 )
    & ( hskp10
      | ! [X52] :
          ( ~ ndr1_0
          | c0_1(X52)
          | c2_1(X52)
          | c3_1(X52) )
      | hskp9 )
    & ( ! [X16] :
          ( c2_1(X16)
          | ~ ndr1_0
          | c1_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( c3_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | ~ ndr1_0
          | c2_1(X14)
          | c0_1(X14) ) )
    & ( hskp9
      | hskp3
      | hskp26 )
    & ( ~ hskp25
      | ( ~ c3_1(a865)
        & c2_1(a865)
        & ndr1_0
        & c1_1(a865) ) )
    & ( ( c3_1(a838)
        & c0_1(a838)
        & ~ c2_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ndr1_0
        & ~ c0_1(a795)
        & ~ c1_1(a795)
        & ~ c3_1(a795) )
      | ~ hskp2 )
    & ( hskp30
      | hskp28
      | hskp19 )
    & ( ( ~ c3_1(a828)
        & ndr1_0
        & ~ c2_1(a828)
        & ~ c1_1(a828) )
      | ~ hskp18 )
    & ( hskp15
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ c2_1(X104) )
      | hskp16 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c1_1(X64)
          | ~ ndr1_0
          | ~ c3_1(X64) )
      | hskp4
      | hskp8 )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c1_1(X4)
          | c2_1(X4)
          | ~ c0_1(X4) )
      | hskp20
      | hskp1 )
    & ( ! [X54] :
          ( ~ c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0
          | ~ c1_1(X54) )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0
          | ~ c2_1(X53) )
      | hskp8 )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ! [X47] :
          ( c3_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ ndr1_0
          | ~ c0_1(X46)
          | ~ c3_1(X46) )
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ ndr1_0
          | ~ c3_1(X45)
          | c1_1(X45) ) )
    & ( hskp13
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c2_1(X96)
          | c0_1(X96)
          | ~ c1_1(X96) ) )
    & ( hskp3
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44) )
      | hskp27 )
    & ( hskp11
      | ! [X71] :
          ( c0_1(X71)
          | ~ ndr1_0
          | ~ c3_1(X71)
          | c2_1(X71) )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | ~ ndr1_0
          | c0_1(X72) ) )
    & ( hskp17
      | hskp8
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c2_1(X2)
          | ~ c1_1(X2) ) )
    & ( ( c3_1(a800)
        & ~ c1_1(a800)
        & ~ c0_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ! [X25] :
          ( c0_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0
          | c1_1(X25) )
      | hskp5
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0
          | c0_1(X24) ) )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & ndr1_0
        & c2_1(a869) )
      | ~ hskp26 )
    & ( hskp29
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c1_1(X81)
          | c2_1(X81) )
      | ! [X82] :
          ( c3_1(X82)
          | ~ ndr1_0
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp2
      | hskp20
      | ! [X3] :
          ( c3_1(X3)
          | ~ ndr1_0
          | c1_1(X3)
          | c2_1(X3) ) )
    & ( ! [X108] :
          ( ~ c1_1(X108)
          | ~ c0_1(X108)
          | c2_1(X108)
          | ~ ndr1_0 )
      | hskp9
      | ! [X107] :
          ( ~ ndr1_0
          | c0_1(X107)
          | c2_1(X107)
          | ~ c3_1(X107) ) )
    & ( ( ndr1_0
        & ~ c1_1(a821)
        & ~ c2_1(a821)
        & ~ c0_1(a821) )
      | ~ hskp16 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X91] :
          ( ~ c0_1(X91)
          | ~ c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | hskp14
      | ! [X90] :
          ( c0_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c3_1(X8)
          | c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp14
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c1_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp8
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a817)
        & c2_1(a817)
        & ~ c1_1(a817) ) )
    & ( hskp12
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp21
      | hskp11 )
    & ( ~ hskp17
      | ( ~ c2_1(a825)
        & ndr1_0
        & c0_1(a825)
        & c1_1(a825) ) )
    & ( ~ hskp14
      | ( ~ c1_1(a816)
        & ~ c2_1(a816)
        & c0_1(a816)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a805)
        & ~ c2_1(a805)
        & ~ c3_1(a805) )
      | ~ hskp8 )
    & ( hskp0
      | hskp21
      | ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp11
      | hskp26 )
    & ( ! [X7] :
          ( ~ c0_1(X7)
          | ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | hskp28
      | ! [X6] :
          ( c1_1(X6)
          | ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a795)
        & ~ c1_1(a795)
        & ~ c3_1(a795) )
      | ~ hskp2 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840) ) )
    & ( hskp4
      | hskp24
      | hskp5 )
    & ( hskp2
      | hskp20
      | ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X25] :
          ( c0_1(X25)
          | ~ c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c1_1(X85)
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | ~ c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( c2_1(a796)
        & ndr1_0
        & c3_1(a796)
        & c0_1(a796) ) )
    & ( ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a794)
        & c3_1(a794)
        & ~ c0_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X108] :
          ( ~ c0_1(X108)
          | c2_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c0_1(X107)
          | c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a862)
        & ~ c3_1(a862)
        & ~ c1_1(a862) ) )
    & ( hskp18
      | hskp14
      | ! [X40] :
          ( ~ c3_1(X40)
          | c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X32] :
          ( c3_1(X32)
          | c1_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp9
      | hskp29 )
    & ( hskp10
      | hskp1
      | ! [X13] :
          ( c2_1(X13)
          | c0_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a809)
        & ~ c0_1(a809)
        & c2_1(a809) ) )
    & ( ( ndr1_0
        & ~ c1_1(a808)
        & ~ c2_1(a808)
        & c3_1(a808) )
      | ~ hskp11 )
    & ( hskp17
      | ! [X2] :
          ( c3_1(X2)
          | c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp27
      | hskp28
      | hskp21 )
    & ( hskp4
      | hskp5
      | hskp26 )
    & ( hskp0
      | ! [X48] :
          ( ~ c3_1(X48)
          | c0_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c1_1(a821)
        & ~ c2_1(a821)
        & ~ c0_1(a821) )
      | ~ hskp16 )
    & ( ( ~ c3_1(a807)
        & ndr1_0
        & ~ c2_1(a807)
        & ~ c0_1(a807) )
      | ~ hskp10 )
    & ( ( c0_1(a856)
        & ~ c2_1(a856)
        & ndr1_0
        & ~ c3_1(a856) )
      | ~ hskp23 )
    & ( ~ hskp4
      | ( c0_1(a799)
        & ndr1_0
        & ~ c1_1(a799)
        & c3_1(a799) ) )
    & ( ~ hskp25
      | ( ~ c3_1(a865)
        & c2_1(a865)
        & ndr1_0
        & c1_1(a865) ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | hskp5
      | ! [X18] :
          ( c3_1(X18)
          | ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X97] :
          ( ~ c0_1(X97)
          | c1_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | ~ c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c0_1(a798)
        & c2_1(a798)
        & ndr1_0
        & ~ c3_1(a798) )
      | ~ hskp3 )
    & ( ! [X93] :
          ( c3_1(X93)
          | ~ c1_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | hskp28
      | hskp19 )
    & ( hskp9
      | hskp10
      | ! [X52] :
          ( c2_1(X52)
          | c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp23
      | hskp13 )
    & ( ( c3_1(a800)
        & ~ c1_1(a800)
        & ~ c0_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( c0_1(a867)
        & c1_1(a867)
        & ndr1_0
        & c3_1(a867) )
      | ~ hskp30 )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp20
      | hskp9 )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp15
      | ! [X110] :
          ( ~ c2_1(X110)
          | c3_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | ~ c1_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | hskp29 )
    & ( hskp14
      | hskp22
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a797)
        & ndr1_0
        & c3_1(a797)
        & c2_1(a797) )
      | ~ hskp28 )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X12] :
          ( c2_1(X12)
          | ~ c3_1(X12)
          | c0_1(X12)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp4
      | ! [X10] :
          ( c1_1(X10)
          | c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( hskp29
      | ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | c1_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c3_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c2_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp25
      | ! [X106] :
          ( ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a829)
        & c2_1(a829)
        & c0_1(a829) ) )
    & ( hskp3
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp7
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c1_1(X43)
          | c0_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ~ hskp7
      | ( c3_1(a803)
        & c1_1(a803)
        & ~ c2_1(a803)
        & ndr1_0 ) )
    & ( hskp6
      | hskp13
      | ! [X88] :
          ( c0_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp19 )
    & ( hskp28
      | ! [X58] :
          ( c2_1(X58)
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c1_1(X33)
          | c0_1(X33)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ( c1_1(a806)
        & ~ c3_1(a806)
        & ndr1_0
        & c0_1(a806) )
      | ~ hskp9 )
    & ( hskp1
      | hskp2
      | ! [X1] :
          ( c2_1(X1)
          | c0_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp3
      | hskp26 )
    & ( hskp8
      | hskp28
      | hskp10 )
    & ( hskp11
      | hskp1
      | hskp22 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | c1_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c2_1(X21)
          | ~ c3_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c3_1(X23)
          | ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp28
      | hskp19 )
    & ( ( c3_1(a838)
        & c0_1(a838)
        & ~ c2_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a828)
        & ndr1_0
        & ~ c2_1(a828)
        & ~ c1_1(a828) )
      | ~ hskp18 )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X71] :
          ( ~ c3_1(X71)
          | c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & ndr1_0
        & c2_1(a869) )
      | ~ hskp26 )
    & ( hskp13
      | ! [X87] :
          ( c0_1(X87)
          | ~ c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ~ hskp13
      | ( c1_1(a814)
        & ~ c0_1(a814)
        & ndr1_0
        & ~ c3_1(a814) ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c3_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c0_1(X67)
          | ~ c1_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c2_1(X99)
          | c0_1(X99)
          | c3_1(X99)
          | ~ ndr1_0 )
      | hskp5
      | hskp0 )
    & ( ! [X0] :
          ( ~ c0_1(X0)
          | ~ c1_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 )
      | hskp24
      | hskp14 )
    & ( ! [X4] :
          ( c2_1(X4)
          | c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | hskp1
      | hskp20 )
    & ( ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | c3_1(X14)
          | c0_1(X14)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ~ c0_1(a802)
        & c2_1(a802)
        & ~ c1_1(a802)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a833)
        & ~ c2_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( hskp18
      | ! [X100] :
          ( c2_1(X100)
          | c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp22
      | ! [X55] :
          ( c3_1(X55)
          | c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | hskp3
      | ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | hskp6
      | ! [X62] :
          ( ~ c3_1(X62)
          | c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a793)
        & ndr1_0
        & ~ c1_1(a793)
        & c0_1(a793) )
      | ~ hskp0 )
    & ( hskp8
      | ! [X64] :
          ( c1_1(X64)
          | ~ c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | hskp4 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c3_1(X91)
            | c1_1(X91) ) )
      | hskp14
      | ! [X90] :
          ( ndr1_0
         => ( c0_1(X90)
            | ~ c1_1(X90)
            | ~ c2_1(X90) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c0_1(X8)
            | ~ c2_1(X8) ) )
      | hskp14
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c1_1(X9)
            | ~ c3_1(X9) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c1_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | c0_1(X47)
            | ~ c1_1(X47) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp8
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a817)
        & c2_1(a817)
        & ~ c1_1(a817) ) )
    & ( hskp12
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | ~ c3_1(X20)
            | ~ c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c2_1(X19)
            | c3_1(X19) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c2_1(X29)
            | ~ c3_1(X29) ) )
      | hskp21
      | hskp11 )
    & ( ~ hskp17
      | ( ~ c2_1(a825)
        & ndr1_0
        & c0_1(a825)
        & c1_1(a825) ) )
    & ( ~ hskp14
      | ( ~ c1_1(a816)
        & ~ c2_1(a816)
        & c0_1(a816)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c1_1(a805)
        & ~ c2_1(a805)
        & ~ c3_1(a805) )
      | ~ hskp8 )
    & ( hskp0
      | hskp21
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c2_1(X83) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c3_1(X95)
            | ~ c2_1(X95) ) )
      | hskp11
      | hskp26 )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | ~ c3_1(X7)
            | ~ c1_1(X7) ) )
      | hskp28
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | ~ c3_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ( ndr1_0
        & ~ c0_1(a795)
        & ~ c1_1(a795)
        & ~ c3_1(a795) )
      | ~ hskp2 )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840) ) )
    & ( hskp4
      | hskp24
      | hskp5 )
    & ( hskp2
      | hskp20
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c3_1(X3)
            | c1_1(X3) ) ) )
    & ( hskp4
      | hskp28
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | ~ c1_1(X98)
            | c2_1(X98) ) ) )
    & ( hskp5
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c3_1(X25)
            | c1_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c0_1(X24)
            | c3_1(X24) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c3_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c2_1(X85)
            | ~ c0_1(X85) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c2_1(X49)
            | ~ c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c1_1(X50)
            | ~ c2_1(X50) ) ) )
    & ( hskp4
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | ~ c2_1(X102)
            | c1_1(X102) ) ) )
    & ( ~ hskp27
      | ( c2_1(a796)
        & ndr1_0
        & c3_1(a796)
        & c0_1(a796) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | ~ c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c0_1(X37)
            | c2_1(X37) ) ) )
    & ( ( ~ c2_1(a794)
        & c3_1(a794)
        & ~ c0_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | c2_1(X108)
            | ~ c1_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c0_1(X107)
            | c2_1(X107)
            | ~ c3_1(X107) ) )
      | hskp9 )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a862)
        & ~ c3_1(a862)
        & ~ c1_1(a862) ) )
    & ( hskp18
      | hskp14
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c0_1(X40)
            | ~ c1_1(X40) ) ) )
    & ( hskp27
      | ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | c1_1(X32)
            | c0_1(X32) ) )
      | hskp28 )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c0_1(X94)
            | ~ c2_1(X94) ) )
      | hskp9
      | hskp29 )
    & ( hskp10
      | hskp1
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | c0_1(X13)
            | ~ c3_1(X13) ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a809)
        & ~ c0_1(a809)
        & c2_1(a809) ) )
    & ( ( ndr1_0
        & ~ c1_1(a808)
        & ~ c2_1(a808)
        & c3_1(a808) )
      | ~ hskp11 )
    & ( hskp17
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c2_1(X2)
            | ~ c1_1(X2) ) )
      | hskp8 )
    & ( hskp27
      | hskp28
      | hskp21 )
    & ( hskp4
      | hskp5
      | hskp26 )
    & ( hskp0
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c0_1(X48)
            | ~ c1_1(X48) ) )
      | hskp17 )
    & ( ( ndr1_0
        & ~ c1_1(a821)
        & ~ c2_1(a821)
        & ~ c0_1(a821) )
      | ~ hskp16 )
    & ( ( ~ c3_1(a807)
        & ndr1_0
        & ~ c2_1(a807)
        & ~ c0_1(a807) )
      | ~ hskp10 )
    & ( ( c0_1(a856)
        & ~ c2_1(a856)
        & ndr1_0
        & ~ c3_1(a856) )
      | ~ hskp23 )
    & ( ~ hskp4
      | ( c0_1(a799)
        & ndr1_0
        & ~ c1_1(a799)
        & c3_1(a799) ) )
    & ( ~ hskp25
      | ( ~ c3_1(a865)
        & c2_1(a865)
        & ndr1_0
        & c1_1(a865) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | ~ c1_1(X17) ) )
      | hskp5
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | ~ c0_1(X18)
            | ~ c2_1(X18) ) ) )
    & ( hskp13
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | c1_1(X97)
            | ~ c3_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c2_1(X96)
            | c0_1(X96) ) ) )
    & ( ( c0_1(a798)
        & c2_1(a798)
        & ndr1_0
        & ~ c3_1(a798) )
      | ~ hskp3 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c1_1(X93)
            | c2_1(X93) ) )
      | hskp28
      | hskp19 )
    & ( hskp9
      | hskp10
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | c0_1(X52)
            | c3_1(X52) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c1_1(X92)
            | ~ c0_1(X92) ) )
      | hskp23
      | hskp13 )
    & ( ( c3_1(a800)
        & ~ c1_1(a800)
        & ~ c0_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( c0_1(a867)
        & c1_1(a867)
        & ndr1_0
        & c3_1(a867) )
      | ~ hskp30 )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp20
      | hskp9 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | hskp15
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c3_1(X110)
            | c0_1(X110) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | ~ c3_1(X104)
            | ~ c2_1(X104) ) )
      | hskp16
      | hskp15 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | ~ c1_1(X74)
            | c2_1(X74) ) )
      | hskp29 )
    & ( hskp14
      | hskp22
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | ~ c0_1(X105) ) ) )
    & ( ( c1_1(a797)
        & ndr1_0
        & c3_1(a797)
        & c2_1(a797) )
      | ~ hskp28 )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c1_1(X38)
            | c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | c3_1(X39) ) )
      | hskp19 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | ~ c3_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c0_1(X11)
            | c3_1(X11) ) )
      | hskp12 )
    & ( hskp4
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | c0_1(X10)
            | c3_1(X10) ) )
      | hskp3 )
    & ( hskp29
      | ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | c3_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c1_1(X81)
            | c2_1(X81) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | ~ c3_1(X79)
            | c2_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | ~ c2_1(X78)
            | c3_1(X78) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp1
      | hskp25
      | ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | ~ c0_1(X106)
            | ~ c3_1(X106) ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a829)
        & c2_1(a829)
        & c0_1(a829) ) )
    & ( hskp3
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c0_1(X44)
            | ~ c2_1(X44) ) )
      | hskp27 )
    & ( hskp7
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c3_1(X77)
            | ~ c1_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c0_1(X76)
            | ~ c3_1(X76) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c0_1(X43)
            | ~ c3_1(X43) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) ) )
    & ( hskp30
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c3_1(X5)
            | ~ c0_1(X5) ) )
      | hskp20 )
    & ( ~ hskp7
      | ( c3_1(a803)
        & c1_1(a803)
        & ~ c2_1(a803)
        & ndr1_0 ) )
    & ( hskp6
      | hskp13
      | ! [X88] :
          ( ndr1_0
         => ( c0_1(X88)
            | c3_1(X88)
            | ~ c1_1(X88) ) ) )
    & ( hskp27
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c2_1(X89)
            | ~ c3_1(X89) ) )
      | hskp19 )
    & ( hskp28
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c1_1(X58)
            | ~ c0_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c0_1(X57)
            | c2_1(X57) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c0_1(X26) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c3_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | c1_1(X33)
            | c0_1(X33) ) )
      | hskp0 )
    & ( ( c1_1(a806)
        & ~ c3_1(a806)
        & ndr1_0
        & c0_1(a806) )
      | ~ hskp9 )
    & ( hskp1
      | hskp2
      | ! [X1] :
          ( ndr1_0
         => ( c2_1(X1)
            | c0_1(X1)
            | c1_1(X1) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | ~ c2_1(X59)
            | c0_1(X59) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( hskp9
      | hskp3
      | hskp26 )
    & ( hskp8
      | hskp28
      | hskp10 )
    & ( hskp11
      | hskp1
      | hskp22 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | c0_1(X70)
            | c3_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c1_1(X69)
            | c3_1(X69) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c3_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | ~ c0_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) ) )
    & ( hskp30
      | hskp28
      | hskp19 )
    & ( ( c3_1(a838)
        & c0_1(a838)
        & ~ c2_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a828)
        & ndr1_0
        & ~ c2_1(a828)
        & ~ c1_1(a828) )
      | ~ hskp18 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c1_1(X75) ) )
      | hskp13
      | hskp1 )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c0_1(X71)
            | c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c0_1(X72)
            | c3_1(X72) ) )
      | hskp11 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & ndr1_0
        & c2_1(a869) )
      | ~ hskp26 )
    & ( hskp13
      | ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | ~ c2_1(X87)
            | c3_1(X87) ) )
      | hskp16 )
    & ( ~ hskp13
      | ( c1_1(a814)
        & ~ c0_1(a814)
        & ndr1_0
        & ~ c3_1(a814) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c3_1(X65)
            | c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | ~ c1_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c1_1(X67)
            | ~ c3_1(X67) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c0_1(X99)
            | c3_1(X99) ) )
      | hskp5
      | hskp0 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c0_1(X0)
            | ~ c1_1(X0)
            | ~ c3_1(X0) ) )
      | hskp24
      | hskp14 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c1_1(X4)
            | ~ c0_1(X4) ) )
      | hskp1
      | hskp20 )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c1_1(X15)
            | c3_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | c3_1(X14)
            | c0_1(X14) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c2_1(X16) ) ) )
    & ( ~ hskp6
      | ( ~ c0_1(a802)
        & c2_1(a802)
        & ~ c1_1(a802)
        & ndr1_0 ) )
    & ( ( ~ c0_1(a833)
        & ~ c2_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( hskp18
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c1_1(X100)
            | ~ c3_1(X100) ) )
      | hskp21 )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | ~ c3_1(X56) ) )
      | hskp22
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c1_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) )
      | hskp3
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c2_1(X63) ) )
      | hskp6
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | c1_1(X62)
            | c0_1(X62) ) ) )
    & ( ( c2_1(a793)
        & ndr1_0
        & ~ c1_1(a793)
        & c0_1(a793) )
      | ~ hskp0 )
    & ( hskp8
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c3_1(X64)
            | c0_1(X64) ) )
      | hskp4 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c3_1(X91)
                | c1_1(X91) ) )
          | hskp14
          | ! [X90] :
              ( ndr1_0
             => ( c0_1(X90)
                | ~ c1_1(X90)
                | ~ c2_1(X90) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c0_1(X8)
                | ~ c2_1(X8) ) )
          | hskp14
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c1_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c0_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp8
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( ( ~ c3_1(a832)
            & ~ c1_1(a832)
            & c2_1(a832)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a817)
            & c2_1(a817)
            & ~ c1_1(a817) ) )
        & ( hskp12
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c3_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp21
          | hskp11 )
        & ( ~ hskp17
          | ( ~ c2_1(a825)
            & ndr1_0
            & c0_1(a825)
            & c1_1(a825) ) )
        & ( ~ hskp14
          | ( ~ c1_1(a816)
            & ~ c2_1(a816)
            & c0_1(a816)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & c1_1(a805)
            & ~ c2_1(a805)
            & ~ c3_1(a805) )
          | ~ hskp8 )
        & ( hskp0
          | hskp21
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c3_1(X95)
                | ~ c2_1(X95) ) )
          | hskp11
          | hskp26 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c3_1(X7)
                | ~ c1_1(X7) ) )
          | hskp28
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | ~ c3_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ( ndr1_0
            & ~ c0_1(a795)
            & ~ c1_1(a795)
            & ~ c3_1(a795) )
          | ~ hskp2 )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a840)
            & c3_1(a840)
            & c1_1(a840) ) )
        & ( hskp4
          | hskp24
          | hskp5 )
        & ( hskp2
          | hskp20
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) ) )
        & ( hskp4
          | hskp28
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp5
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c3_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c3_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c2_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c1_1(X50)
                | ~ c2_1(X50) ) ) )
        & ( hskp4
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( ~ hskp27
          | ( c2_1(a796)
            & ndr1_0
            & c3_1(a796)
            & c0_1(a796) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | c2_1(X37) ) ) )
        & ( ( ~ c2_1(a794)
            & c3_1(a794)
            & ~ c0_1(a794)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | c2_1(X108)
                | ~ c1_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c0_1(X107)
                | c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp9 )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a862)
            & ~ c3_1(a862)
            & ~ c1_1(a862) ) )
        & ( hskp18
          | hskp14
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c0_1(X40)
                | ~ c1_1(X40) ) ) )
        & ( hskp27
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c1_1(X32)
                | c0_1(X32) ) )
          | hskp28 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c0_1(X94)
                | ~ c2_1(X94) ) )
          | hskp9
          | hskp29 )
        & ( hskp10
          | hskp1
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c0_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a809)
            & ~ c0_1(a809)
            & c2_1(a809) ) )
        & ( ( ndr1_0
            & ~ c1_1(a808)
            & ~ c2_1(a808)
            & c3_1(a808) )
          | ~ hskp11 )
        & ( hskp17
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | ~ c1_1(X2) ) )
          | hskp8 )
        & ( hskp27
          | hskp28
          | hskp21 )
        & ( hskp4
          | hskp5
          | hskp26 )
        & ( hskp0
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c0_1(X48)
                | ~ c1_1(X48) ) )
          | hskp17 )
        & ( ( ndr1_0
            & ~ c1_1(a821)
            & ~ c2_1(a821)
            & ~ c0_1(a821) )
          | ~ hskp16 )
        & ( ( ~ c3_1(a807)
            & ndr1_0
            & ~ c2_1(a807)
            & ~ c0_1(a807) )
          | ~ hskp10 )
        & ( ( c0_1(a856)
            & ~ c2_1(a856)
            & ndr1_0
            & ~ c3_1(a856) )
          | ~ hskp23 )
        & ( ~ hskp4
          | ( c0_1(a799)
            & ndr1_0
            & ~ c1_1(a799)
            & c3_1(a799) ) )
        & ( ~ hskp25
          | ( ~ c3_1(a865)
            & c2_1(a865)
            & ndr1_0
            & c1_1(a865) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | ~ c1_1(X17) ) )
          | hskp5
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | ~ c0_1(X18)
                | ~ c2_1(X18) ) ) )
        & ( hskp13
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c1_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c2_1(X96)
                | c0_1(X96) ) ) )
        & ( ( c0_1(a798)
            & c2_1(a798)
            & ndr1_0
            & ~ c3_1(a798) )
          | ~ hskp3 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c1_1(X93)
                | c2_1(X93) ) )
          | hskp28
          | hskp19 )
        & ( hskp9
          | hskp10
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | c0_1(X52)
                | c3_1(X52) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) )
          | hskp23
          | hskp13 )
        & ( ( c3_1(a800)
            & ~ c1_1(a800)
            & ~ c0_1(a800)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( c0_1(a867)
            & c1_1(a867)
            & ndr1_0
            & c3_1(a867) )
          | ~ hskp30 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp20
          | hskp9 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp15
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c3_1(X110)
                | c0_1(X110) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c3_1(X104)
                | ~ c2_1(X104) ) )
          | hskp16
          | hskp15 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | hskp29 )
        & ( hskp14
          | hskp22
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( ( c1_1(a797)
            & ndr1_0
            & c3_1(a797)
            & c2_1(a797) )
          | ~ hskp28 )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | c3_1(X39) ) )
          | hskp19 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c3_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c0_1(X11)
                | c3_1(X11) ) )
          | hskp12 )
        & ( hskp4
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c0_1(X10)
                | c3_1(X10) ) )
          | hskp3 )
        & ( hskp29
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c1_1(X81)
                | c2_1(X81) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c3_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c2_1(X78)
                | c3_1(X78) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp1
          | hskp25
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | ~ c3_1(X106) ) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a829)
            & c2_1(a829)
            & c0_1(a829) ) )
        & ( hskp3
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c0_1(X44)
                | ~ c2_1(X44) ) )
          | hskp27 )
        & ( hskp7
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c3_1(X77)
                | ~ c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c0_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c0_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) ) )
        & ( hskp30
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c3_1(X5)
                | ~ c0_1(X5) ) )
          | hskp20 )
        & ( ~ hskp7
          | ( c3_1(a803)
            & c1_1(a803)
            & ~ c2_1(a803)
            & ndr1_0 ) )
        & ( hskp6
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( c0_1(X88)
                | c3_1(X88)
                | ~ c1_1(X88) ) ) )
        & ( hskp27
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp19 )
        & ( hskp28
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c1_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | c2_1(X57) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c3_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) )
          | hskp0 )
        & ( ( c1_1(a806)
            & ~ c3_1(a806)
            & ndr1_0
            & c0_1(a806) )
          | ~ hskp9 )
        & ( hskp1
          | hskp2
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c0_1(X1)
                | c1_1(X1) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( hskp9
          | hskp3
          | hskp26 )
        & ( hskp8
          | hskp28
          | hskp10 )
        & ( hskp11
          | hskp1
          | hskp22 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c0_1(X70)
                | c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c1_1(X69)
                | c3_1(X69) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c3_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | ~ c0_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) ) )
        & ( hskp30
          | hskp28
          | hskp19 )
        & ( ( c3_1(a838)
            & c0_1(a838)
            & ~ c2_1(a838)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a828)
            & ndr1_0
            & ~ c2_1(a828)
            & ~ c1_1(a828) )
          | ~ hskp18 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | hskp13
          | hskp1 )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c0_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c0_1(X72)
                | c3_1(X72) ) )
          | hskp11 )
        & ( ( ~ c0_1(a869)
            & c3_1(a869)
            & ndr1_0
            & c2_1(a869) )
          | ~ hskp26 )
        & ( hskp13
          | ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | ~ c2_1(X87)
                | c3_1(X87) ) )
          | hskp16 )
        & ( ~ hskp13
          | ( c1_1(a814)
            & ~ c0_1(a814)
            & ndr1_0
            & ~ c3_1(a814) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c3_1(X65)
                | c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c1_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c0_1(X99)
                | c3_1(X99) ) )
          | hskp5
          | hskp0 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | ~ c1_1(X0)
                | ~ c3_1(X0) ) )
          | hskp24
          | hskp14 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | ~ c0_1(X4) ) )
          | hskp1
          | hskp20 )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c3_1(X14)
                | c0_1(X14) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c2_1(X16) ) ) )
        & ( ~ hskp6
          | ( ~ c0_1(a802)
            & c2_1(a802)
            & ~ c1_1(a802)
            & ndr1_0 ) )
        & ( ( ~ c0_1(a833)
            & ~ c2_1(a833)
            & c1_1(a833)
            & ndr1_0 )
          | ~ hskp20 )
        & ( hskp18
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c1_1(X100)
                | ~ c3_1(X100) ) )
          | hskp21 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | ~ c3_1(X56) ) )
          | hskp22
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c1_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | hskp3
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) )
          | hskp6
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c1_1(X62)
                | c0_1(X62) ) ) )
        & ( ( c2_1(a793)
            & ndr1_0
            & ~ c1_1(a793)
            & c0_1(a793) )
          | ~ hskp0 )
        & ( hskp8
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c3_1(X64)
                | c0_1(X64) ) )
          | hskp4 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp24
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c3_1(X103)
                | ~ c0_1(X103) ) )
          | hskp14 )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | hskp1 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | ~ c1_1(X92) ) )
          | hskp8
          | hskp17 )
        & ( hskp2
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c1_1(X77)
                | c2_1(X77) ) )
          | hskp20 )
        & ( ( ~ c0_1(a869)
            & c3_1(a869)
            & ndr1_0
            & c2_1(a869) )
          | ~ hskp26 )
        & ( hskp20
          | hskp1
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | ~ c2_1(X106) ) )
          | hskp20
          | hskp30 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c3_1(X85)
                | ~ c2_1(X85) ) )
          | hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | ~ c0_1(X86) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c0_1(X50)
                | ~ c3_1(X50) ) )
          | hskp14 )
        & ( hskp4
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c0_1(X10)
                | c3_1(X10) ) )
          | hskp3 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) )
          | hskp12
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c0_1(X32)
                | ~ c3_1(X32) ) ) )
        & ( hskp11
          | hskp1
          | hskp22 )
        & ( ~ hskp6
          | ( ~ c0_1(a802)
            & c2_1(a802)
            & ~ c1_1(a802)
            & ndr1_0 ) )
        & ( hskp10
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp1 )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a862)
            & ~ c3_1(a862)
            & ~ c1_1(a862) ) )
        & ( ( ~ c3_1(a807)
            & ndr1_0
            & ~ c2_1(a807)
            & ~ c0_1(a807) )
          | ~ hskp10 )
        & ( ( ~ c3_1(a828)
            & ndr1_0
            & ~ c2_1(a828)
            & ~ c1_1(a828) )
          | ~ hskp18 )
        & ( ( c2_1(a793)
            & ndr1_0
            & ~ c1_1(a793)
            & c0_1(a793) )
          | ~ hskp0 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c0_1(X0)
                | c1_1(X0) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c3_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | hskp5 )
        & ( ( ~ c0_1(a833)
            & ~ c2_1(a833)
            & c1_1(a833)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ~ hskp27
          | ( c2_1(a796)
            & ndr1_0
            & c3_1(a796)
            & c0_1(a796) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | hskp12
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c3_1(X91)
                | ~ c1_1(X91) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a821)
            & ~ c2_1(a821)
            & ~ c0_1(a821) )
          | ~ hskp16 )
        & ( hskp9
          | hskp3
          | hskp26 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c3_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) ) )
        & ( ( c0_1(a798)
            & c2_1(a798)
            & ndr1_0
            & ~ c3_1(a798) )
          | ~ hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | ~ c3_1(X11)
                | c1_1(X11) ) )
          | hskp5 )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c3_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | ~ c1_1(X71) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) )
          | hskp21
          | hskp11 )
        & ( ( ndr1_0
            & ~ c0_1(a795)
            & ~ c1_1(a795)
            & ~ c3_1(a795) )
          | ~ hskp2 )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c2_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) )
          | hskp3 )
        & ( ( ~ c2_1(a794)
            & c3_1(a794)
            & ~ c0_1(a794)
            & ndr1_0 )
          | ~ hskp1 )
        & ( hskp28
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) )
          | hskp27 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c0_1(X3)
                | c2_1(X3) ) )
          | hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c3_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a809)
            & ~ c0_1(a809)
            & c2_1(a809) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) ) )
        & ( hskp19
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c3_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp14
          | hskp18
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c0_1(X68)
                | ~ c3_1(X68) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | ~ c0_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp4
          | hskp5
          | hskp26 )
        & ( hskp27
          | hskp3
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | ~ c0_1(X102) ) ) )
        & ( ~ hskp14
          | ( ~ c1_1(a816)
            & ~ c2_1(a816)
            & c0_1(a816)
            & ndr1_0 ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c1_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c3_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c1_1(X43)
                | c3_1(X43) ) ) )
        & ( ( c1_1(a806)
            & ~ c3_1(a806)
            & ndr1_0
            & c0_1(a806) )
          | ~ hskp9 )
        & ( hskp0
          | ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c3_1(X67)
                | ~ c1_1(X67) ) )
          | hskp17 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | ~ c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp10
          | hskp9
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c3_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) )
          | hskp8 )
        & ( hskp8
          | hskp28
          | hskp10 )
        & ( ( ~ c3_1(a832)
            & ~ c1_1(a832)
            & c2_1(a832)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ndr1_0
            & c1_1(a805)
            & ~ c2_1(a805)
            & ~ c3_1(a805) )
          | ~ hskp8 )
        & ( hskp22
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c3_1(X83)
                | ~ c1_1(X83) ) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a817)
            & c2_1(a817)
            & ~ c1_1(a817) ) )
        & ( hskp28
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | c2_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a840)
            & c3_1(a840)
            & c1_1(a840) ) )
        & ( hskp4
          | hskp24
          | hskp5 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c3_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c0_1(X18)
                | c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp6 )
        & ( hskp4
          | hskp8
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c3_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ( ndr1_0
            & ~ c1_1(a808)
            & ~ c2_1(a808)
            & c3_1(a808) )
          | ~ hskp11 )
        & ( hskp30
          | hskp28
          | hskp19 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | c2_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c1_1(X28)
                | c3_1(X28) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | c0_1(X26)
                | c3_1(X26) ) ) )
        & ( ( c1_1(a797)
            & ndr1_0
            & c3_1(a797)
            & c2_1(a797) )
          | ~ hskp28 )
        & ( hskp11
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c0_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) )
          | hskp29
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c2_1(X79)
                | c3_1(X79) ) ) )
        & ( ( c0_1(a867)
            & c1_1(a867)
            & ndr1_0
            & c3_1(a867) )
          | ~ hskp30 )
        & ( hskp13
          | hskp1
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | c3_1(X94) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c3_1(X20)
                | c0_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) )
          | hskp7 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c3_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) ) )
        & ( hskp29
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c1_1(X73)
                | c2_1(X73) ) ) )
        & ( ~ hskp13
          | ( c1_1(a814)
            & ~ c0_1(a814)
            & ndr1_0
            & ~ c3_1(a814) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c1_1(X84)
                | c3_1(X84) ) )
          | hskp21
          | hskp0 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c0_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c0_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | ~ c0_1(X17)
                | ~ c1_1(X17) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c0_1(X57)
                | c3_1(X57) ) )
          | hskp16
          | hskp13 )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a829)
            & c2_1(a829)
            & c0_1(a829) ) )
        & ( ~ hskp17
          | ( ~ c2_1(a825)
            & ndr1_0
            & c0_1(a825)
            & c1_1(a825) ) )
        & ( hskp6
          | hskp13
          | ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) ) )
        & ( ~ hskp7
          | ( c3_1(a803)
            & c1_1(a803)
            & ~ c2_1(a803)
            & ndr1_0 ) )
        & ( hskp27
          | hskp19
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c3_1(X109)
                | ~ c1_1(X109) ) ) )
        & ( hskp14
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c0_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c1_1(X59)
                | ~ c0_1(X59) ) ) )
        & ( ( c0_1(a856)
            & ~ c2_1(a856)
            & ndr1_0
            & ~ c3_1(a856) )
          | ~ hskp23 )
        & ( hskp13
          | hskp23
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c1_1(X93)
                | c2_1(X93) ) )
          | hskp28
          | hskp19 )
        & ( hskp29
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c0_1(X72) ) )
          | hskp9 )
        & ( hskp11
          | hskp26
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) ) )
        & ( hskp13
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c1_1(X61)
                | ~ c0_1(X61) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | hskp4
          | hskp28 )
        & ( ~ hskp4
          | ( c0_1(a799)
            & ndr1_0
            & ~ c1_1(a799)
            & c3_1(a799) ) )
        & ( hskp0
          | hskp5
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( ( c3_1(a838)
            & c0_1(a838)
            & ~ c2_1(a838)
            & ndr1_0 )
          | ~ hskp21 )
        & ( hskp27
          | hskp28
          | hskp21 )
        & ( hskp21
          | hskp18
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp4
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c0_1(X13)
                | c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c3_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp20
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | hskp9 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | ~ c3_1(X108) ) )
          | hskp15
          | hskp16 )
        & ( hskp22
          | hskp14
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c3_1(X104)
                | ~ c1_1(X104) ) ) )
        & ( ( c3_1(a800)
            & ~ c1_1(a800)
            & ~ c0_1(a800)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) )
          | hskp25
          | hskp1 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c0_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | hskp9 )
        & ( ~ hskp25
          | ( ~ c3_1(a865)
            & c2_1(a865)
            & ndr1_0
            & c1_1(a865) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp15
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp24
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c3_1(X103)
              | ~ c0_1(X103) ) )
        | hskp14 )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) )
        | hskp1 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | c2_1(X92)
              | ~ c1_1(X92) ) )
        | hskp8
        | hskp17 )
      & ( hskp2
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c1_1(X77)
              | c2_1(X77) ) )
        | hskp20 )
      & ( ( ~ c0_1(a869)
          & c3_1(a869)
          & ndr1_0
          & c2_1(a869) )
        | ~ hskp26 )
      & ( hskp20
        | hskp1
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c0_1(X80) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | ~ c2_1(X106) ) )
        | hskp20
        | hskp30 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c3_1(X85)
              | ~ c2_1(X85) ) )
        | hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c1_1(X86)
              | ~ c0_1(X86) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c0_1(X50)
              | ~ c3_1(X50) ) )
        | hskp14 )
      & ( hskp4
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c0_1(X10)
              | c3_1(X10) ) )
        | hskp3 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) )
        | hskp12
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c0_1(X32)
              | ~ c3_1(X32) ) ) )
      & ( hskp11
        | hskp1
        | hskp22 )
      & ( ~ hskp6
        | ( ~ c0_1(a802)
          & c2_1(a802)
          & ~ c1_1(a802)
          & ndr1_0 ) )
      & ( hskp10
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | hskp1 )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a862)
          & ~ c3_1(a862)
          & ~ c1_1(a862) ) )
      & ( ( ~ c3_1(a807)
          & ndr1_0
          & ~ c2_1(a807)
          & ~ c0_1(a807) )
        | ~ hskp10 )
      & ( ( ~ c3_1(a828)
          & ndr1_0
          & ~ c2_1(a828)
          & ~ c1_1(a828) )
        | ~ hskp18 )
      & ( ( c2_1(a793)
          & ndr1_0
          & ~ c1_1(a793)
          & c0_1(a793) )
        | ~ hskp0 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | ~ c2_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c0_1(X0)
              | c1_1(X0) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c3_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | hskp5 )
      & ( ( ~ c0_1(a833)
          & ~ c2_1(a833)
          & c1_1(a833)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ~ hskp27
        | ( c2_1(a796)
          & ndr1_0
          & c3_1(a796)
          & c0_1(a796) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) )
        | hskp12
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c3_1(X91)
              | ~ c1_1(X91) ) ) )
      & ( ( ndr1_0
          & ~ c1_1(a821)
          & ~ c2_1(a821)
          & ~ c0_1(a821) )
        | ~ hskp16 )
      & ( hskp9
        | hskp3
        | hskp26 )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c3_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c1_1(X87)
              | c2_1(X87) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) ) )
      & ( ( c0_1(a798)
          & c2_1(a798)
          & ndr1_0
          & ~ c3_1(a798) )
        | ~ hskp3 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c3_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | ~ c3_1(X11)
              | c1_1(X11) ) )
        | hskp5 )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c3_1(X69)
              | c0_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | ~ c0_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c0_1(X71)
              | ~ c1_1(X71) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) )
        | hskp21
        | hskp11 )
      & ( ( ndr1_0
          & ~ c0_1(a795)
          & ~ c1_1(a795)
          & ~ c3_1(a795) )
        | ~ hskp2 )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c2_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) )
        | hskp3 )
      & ( ( ~ c2_1(a794)
          & c3_1(a794)
          & ~ c0_1(a794)
          & ndr1_0 )
        | ~ hskp1 )
      & ( hskp28
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) )
        | hskp27 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c0_1(X3)
              | c2_1(X3) ) )
        | hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | c3_1(X4)
              | ~ c0_1(X4) ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a809)
          & ~ c0_1(a809)
          & c2_1(a809) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | ~ c1_1(X64)
              | ~ c0_1(X64) ) ) )
      & ( hskp19
        | ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c3_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp14
        | hskp18
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | c0_1(X68)
              | ~ c3_1(X68) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | ~ c0_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp4
        | hskp5
        | hskp26 )
      & ( hskp27
        | hskp3
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | c3_1(X102)
              | ~ c0_1(X102) ) ) )
      & ( ~ hskp14
        | ( ~ c1_1(a816)
          & ~ c2_1(a816)
          & c0_1(a816)
          & ndr1_0 ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c1_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c3_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c1_1(X43)
              | c3_1(X43) ) ) )
      & ( ( c1_1(a806)
          & ~ c3_1(a806)
          & ndr1_0
          & c0_1(a806) )
        | ~ hskp9 )
      & ( hskp0
        | ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c3_1(X67)
              | ~ c1_1(X67) ) )
        | hskp17 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | ~ c2_1(X7)
              | ~ c1_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c0_1(X6)
              | c3_1(X6) ) ) )
      & ( hskp10
        | hskp9
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c3_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) )
        | hskp8 )
      & ( hskp8
        | hskp28
        | hskp10 )
      & ( ( ~ c3_1(a832)
          & ~ c1_1(a832)
          & c2_1(a832)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ndr1_0
          & c1_1(a805)
          & ~ c2_1(a805)
          & ~ c3_1(a805) )
        | ~ hskp8 )
      & ( hskp22
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c3_1(X83)
              | ~ c1_1(X83) ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a817)
          & c2_1(a817)
          & ~ c1_1(a817) ) )
      & ( hskp28
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c3_1(X96)
              | c2_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a840)
          & c3_1(a840)
          & c1_1(a840) ) )
      & ( hskp4
        | hskp24
        | hskp5 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c3_1(X52)
              | ~ c1_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c0_1(X18)
              | c1_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | ~ c3_1(X19) ) )
        | hskp6 )
      & ( hskp4
        | hskp8
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | ~ c2_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c3_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( ( ndr1_0
          & ~ c1_1(a808)
          & ~ c2_1(a808)
          & c3_1(a808) )
        | ~ hskp11 )
      & ( hskp30
        | hskp28
        | hskp19 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | c2_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c1_1(X28)
              | c3_1(X28) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | c0_1(X26)
              | c3_1(X26) ) ) )
      & ( ( c1_1(a797)
          & ndr1_0
          & c3_1(a797)
          & c2_1(a797) )
        | ~ hskp28 )
      & ( hskp11
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c0_1(X30)
              | c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) )
        | hskp29
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | c2_1(X79)
              | c3_1(X79) ) ) )
      & ( ( c0_1(a867)
          & c1_1(a867)
          & ndr1_0
          & c3_1(a867) )
        | ~ hskp30 )
      & ( hskp13
        | hskp1
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c2_1(X94)
              | c3_1(X94) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c3_1(X20)
              | c0_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c2_1(X21)
              | ~ c3_1(X21) ) )
        | hskp7 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | ~ c2_1(X36)
              | ~ c0_1(X36) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c3_1(X34)
              | c2_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) ) )
      & ( hskp29
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | c1_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | c1_1(X73)
              | c2_1(X73) ) ) )
      & ( ~ hskp13
        | ( c1_1(a814)
          & ~ c0_1(a814)
          & ndr1_0
          & ~ c3_1(a814) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c1_1(X84)
              | c3_1(X84) ) )
        | hskp21
        | hskp0 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c0_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | ~ c0_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | ~ c0_1(X17)
              | ~ c1_1(X17) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c0_1(X57)
              | c3_1(X57) ) )
        | hskp16
        | hskp13 )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a829)
          & c2_1(a829)
          & c0_1(a829) ) )
      & ( ~ hskp17
        | ( ~ c2_1(a825)
          & ndr1_0
          & c0_1(a825)
          & c1_1(a825) ) )
      & ( hskp6
        | hskp13
        | ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) ) )
      & ( ~ hskp7
        | ( c3_1(a803)
          & c1_1(a803)
          & ~ c2_1(a803)
          & ndr1_0 ) )
      & ( hskp27
        | hskp19
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c3_1(X109)
              | ~ c1_1(X109) ) ) )
      & ( hskp14
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c0_1(X58)
              | ~ c1_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c1_1(X59)
              | ~ c0_1(X59) ) ) )
      & ( ( c0_1(a856)
          & ~ c2_1(a856)
          & ndr1_0
          & ~ c3_1(a856) )
        | ~ hskp23 )
      & ( hskp13
        | hskp23
        | ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c1_1(X93)
              | c2_1(X93) ) )
        | hskp28
        | hskp19 )
      & ( hskp29
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c0_1(X72) ) )
        | hskp9 )
      & ( hskp11
        | hskp26
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) ) )
      & ( hskp13
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | c1_1(X61)
              | ~ c0_1(X61) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | hskp4
        | hskp28 )
      & ( ~ hskp4
        | ( c0_1(a799)
          & ndr1_0
          & ~ c1_1(a799)
          & c3_1(a799) ) )
      & ( hskp0
        | hskp5
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) ) )
      & ( ( c3_1(a838)
          & c0_1(a838)
          & ~ c2_1(a838)
          & ndr1_0 )
        | ~ hskp21 )
      & ( hskp27
        | hskp28
        | hskp21 )
      & ( hskp21
        | hskp18
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c2_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp4
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c0_1(X13)
              | c1_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c3_1(X14)
              | c1_1(X14) ) ) )
      & ( hskp20
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | hskp9 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | ~ c3_1(X108) ) )
        | hskp15
        | hskp16 )
      & ( hskp22
        | hskp14
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c3_1(X104)
              | ~ c1_1(X104) ) ) )
      & ( ( c3_1(a800)
          & ~ c1_1(a800)
          & ~ c0_1(a800)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c3_1(X105) ) )
        | hskp25
        | hskp1 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c0_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c1_1(X41)
              | ~ c0_1(X41) ) )
        | hskp9 )
      & ( ~ hskp25
        | ( ~ c3_1(a865)
          & c2_1(a865)
          & ndr1_0
          & c1_1(a865) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | hskp15
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f984,plain,
    ( spl0_44
    | spl0_85
    | ~ spl0_2
    | spl0_35 ),
    inference(avatar_split_clause,[],[f25,f349,f208,f590,f391]) ).

fof(f391,plain,
    ( spl0_44
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f349,plain,
    ( spl0_35
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f25,plain,
    ! [X32] :
      ( hskp28
      | ~ ndr1_0
      | c3_1(X32)
      | c0_1(X32)
      | hskp27
      | c1_1(X32) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f983,plain,
    ( spl0_154
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f100,f359,f980]) ).

fof(f359,plain,
    ( spl0_37
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f100,plain,
    ( ~ hskp12
    | c2_1(a809) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f978,plain,
    ( ~ spl0_83
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f92,f975,f580]) ).

fof(f580,plain,
    ( spl0_83
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f92,plain,
    ( ~ c3_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f973,plain,
    ( ~ spl0_152
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f83,f549,f970]) ).

fof(f549,plain,
    ( spl0_77
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f83,plain,
    ( ~ hskp1
    | ~ c2_1(a794) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( ~ spl0_52
    | spl0_151 ),
    inference(avatar_split_clause,[],[f132,f965,f426]) ).

fof(f426,plain,
    ( spl0_52
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f132,plain,
    ( c0_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f963,plain,
    ( ~ spl0_31
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f129,f960,f331]) ).

fof(f331,plain,
    ( spl0_31
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f129,plain,
    ( ~ c1_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f958,plain,
    ( spl0_14
    | spl0_9
    | spl0_31 ),
    inference(avatar_split_clause,[],[f200,f331,f236,f255]) ).

fof(f255,plain,
    ( spl0_14
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f236,plain,
    ( spl0_9
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f200,plain,
    ( hskp4
    | hskp5
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( ~ spl0_61
    | spl0_2 ),
    inference(avatar_split_clause,[],[f180,f208,f469]) ).

fof(f469,plain,
    ( spl0_61
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f180,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f956,plain,
    ( ~ spl0_61
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f182,f953,f469]) ).

fof(f182,plain,
    ( ~ c1_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f951,plain,
    ( spl0_148
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f98,f336,f948]) ).

fof(f336,plain,
    ( spl0_32
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f98,plain,
    ( ~ hskp15
    | c3_1(a817) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f946,plain,
    ( ~ spl0_147
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f137,f442,f943]) ).

fof(f442,plain,
    ( spl0_56
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f137,plain,
    ( ~ hskp7
    | ~ c2_1(a803) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f941,plain,
    ( spl0_146
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f131,f331,f938]) ).

fof(f131,plain,
    ( ~ hskp4
    | c0_1(a799) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f935,plain,
    ( spl0_83
    | spl0_48
    | spl0_66
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f55,f208,f491,f410,f580]) ).

fof(f410,plain,
    ( spl0_48
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f55,plain,
    ! [X92] :
      ( ~ ndr1_0
      | ~ c0_1(X92)
      | hskp23
      | hskp13
      | ~ c1_1(X92)
      | c3_1(X92) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( ~ spl0_9
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f185,f931,f236]) ).

fof(f185,plain,
    ( ~ c0_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f929,plain,
    ( ~ spl0_2
    | spl0_83
    | spl0_71
    | spl0_77 ),
    inference(avatar_split_clause,[],[f20,f549,f515,f580,f208]) ).

fof(f20,plain,
    ! [X75] :
      ( hskp1
      | ~ c1_1(X75)
      | c3_1(X75)
      | c2_1(X75)
      | hskp13
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_44
    | spl0_144 ),
    inference(avatar_split_clause,[],[f87,f925,f391]) ).

fof(f87,plain,
    ( c2_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( spl0_143
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f163,f349,f919]) ).

fof(f163,plain,
    ( ~ hskp28
    | c1_1(a797) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_142
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f192,f609,f914]) ).

fof(f609,plain,
    ( spl0_89
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f192,plain,
    ( ~ hskp16
    | ~ c0_1(a821) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_1
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f74,f902,f204]) ).

fof(f204,plain,
    ( spl0_1
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f74,plain,
    ( ~ c1_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_139
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f151,f312,f896]) ).

fof(f312,plain,
    ( spl0_27
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f151,plain,
    ( ~ hskp10
    | ~ c3_1(a807) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_89
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f193,f891,f609]) ).

fof(f193,plain,
    ( ~ c2_1(a821)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_2
    | spl0_32
    | spl0_62
    | spl0_10 ),
    inference(avatar_split_clause,[],[f46,f240,f473,f336,f208]) ).

fof(f46,plain,
    ! [X109,X110] :
      ( c3_1(X110)
      | ~ c3_1(X109)
      | hskp15
      | ~ c2_1(X110)
      | c0_1(X110)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | ~ c2_1(X109) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_20
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f117,f880,f283]) ).

fof(f283,plain,
    ( spl0_20
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f117,plain,
    ( ~ c1_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( spl0_52
    | spl0_3
    | spl0_67 ),
    inference(avatar_split_clause,[],[f201,f495,f212,f426]) ).

fof(f212,plain,
    ( spl0_3
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f495,plain,
    ( spl0_67
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f201,plain,
    ( hskp3
    | hskp26
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( spl0_135
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f138,f442,f872]) ).

fof(f138,plain,
    ( ~ hskp7
    | c1_1(a803) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( ~ spl0_5
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f123,f867,f220]) ).

fof(f220,plain,
    ( spl0_5
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f123,plain,
    ( ~ c1_1(a816)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f865,plain,
    ( ~ spl0_16
    | spl0_133 ),
    inference(avatar_split_clause,[],[f105,f862,f265]) ).

fof(f265,plain,
    ( spl0_16
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f105,plain,
    ( c2_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( spl0_69
    | ~ spl0_2
    | spl0_34
    | spl0_77 ),
    inference(avatar_split_clause,[],[f16,f549,f345,f208,f505]) ).

fof(f505,plain,
    ( spl0_69
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f16,plain,
    ! [X1] :
      ( hskp1
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | hskp2
      | c1_1(X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_25
    | spl0_62 ),
    inference(avatar_split_clause,[],[f38,f473,f304,f208,f204]) ).

fof(f304,plain,
    ( spl0_25
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f38,plain,
    ! [X29] :
      ( ~ c2_1(X29)
      | hskp21
      | ~ ndr1_0
      | ~ c1_1(X29)
      | hskp11
      | ~ c3_1(X29) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_32
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f96,f850,f336]) ).

fof(f96,plain,
    ( ~ c1_1(a817)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( spl0_131
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f84,f391,f845]) ).

fof(f84,plain,
    ( ~ hskp27
    | c0_1(a796) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f843,plain,
    ( ~ spl0_130
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f140,f477,f840]) ).

fof(f477,plain,
    ( spl0_63
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f140,plain,
    ( ~ hskp8
    | ~ c3_1(a805) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f838,plain,
    ( spl0_65
    | spl0_27
    | ~ spl0_2
    | spl0_52 ),
    inference(avatar_split_clause,[],[f57,f426,f208,f312,f488]) ).

fof(f57,plain,
    ! [X52] :
      ( hskp9
      | ~ ndr1_0
      | hskp10
      | c0_1(X52)
      | c2_1(X52)
      | c3_1(X52) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_129
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f119,f283,f834]) ).

fof(f119,plain,
    ( ~ hskp6
    | ~ c0_1(a802) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_3
    | spl0_128 ),
    inference(avatar_split_clause,[],[f188,f829,f212]) ).

fof(f188,plain,
    ( c2_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_127
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f76,f410,f824]) ).

fof(f76,plain,
    ( ~ hskp23
    | ~ c3_1(a856) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( spl0_126
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f161,f349,f819]) ).

fof(f161,plain,
    ( ~ hskp28
    | c3_1(a797) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f817,plain,
    ( spl0_31
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f199,f236,f212,f331]) ).

fof(f199,plain,
    ( hskp5
    | hskp26
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f811,plain,
    ( spl0_61
    | spl0_23
    | spl0_43
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f10,f208,f387,f296,f469]) ).

fof(f10,plain,
    ! [X38,X39] :
      ( ~ ndr1_0
      | c1_1(X39)
      | ~ c3_1(X38)
      | ~ c1_1(X38)
      | c2_1(X39)
      | hskp19
      | c2_1(X38)
      | c3_1(X39) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_124
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f186,f236,f807]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c1_1(a800) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f804,plain,
    ( spl0_123
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f112,f379,f801]) ).

fof(f379,plain,
    ( spl0_41
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f112,plain,
    ( ~ hskp30
    | c3_1(a867) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_11
    | spl0_121 ),
    inference(avatar_split_clause,[],[f124,f792,f244]) ).

fof(f244,plain,
    ( spl0_11
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f124,plain,
    ( c1_1(a840)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_2
    | spl0_71
    | spl0_12
    | spl0_37 ),
    inference(avatar_split_clause,[],[f41,f359,f248,f515,f208]) ).

fof(f41,plain,
    ! [X19,X20] :
      ( hskp12
      | ~ c3_1(X20)
      | c3_1(X19)
      | ~ c0_1(X20)
      | ~ c1_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | c2_1(X19) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( spl0_44
    | spl0_35
    | spl0_25 ),
    inference(avatar_split_clause,[],[f198,f304,f349,f391]) ).

fof(f198,plain,
    ( hskp21
    | hskp28
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_14
    | spl0_120 ),
    inference(avatar_split_clause,[],[f158,f784,f255]) ).

fof(f158,plain,
    ( c0_1(a862)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f776,plain,
    ( ~ spl0_69
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f173,f773,f505]) ).

fof(f173,plain,
    ( ~ c1_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f770,plain,
    ( ~ spl0_2
    | spl0_24
    | spl0_51
    | spl0_71 ),
    inference(avatar_split_clause,[],[f56,f515,f423,f300,f208]) ).

fof(f56,plain,
    ! [X21,X22,X23] :
      ( ~ c1_1(X22)
      | c2_1(X21)
      | ~ c0_1(X21)
      | ~ c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c3_1(X21)
      | c3_1(X22)
      | c2_1(X22)
      | ~ c0_1(X23) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f764,plain,
    ( ~ spl0_116
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f134,f426,f761]) ).

fof(f134,plain,
    ( ~ hskp9
    | ~ c3_1(a806) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( spl0_22
    | ~ spl0_2
    | spl0_56
    | spl0_62 ),
    inference(avatar_split_clause,[],[f31,f473,f442,f208,f293]) ).

fof(f31,plain,
    ! [X76,X77] :
      ( ~ c3_1(X77)
      | hskp7
      | ~ ndr1_0
      | c1_1(X76)
      | c0_1(X76)
      | ~ c1_1(X77)
      | ~ c3_1(X76)
      | ~ c2_1(X77) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( ~ spl0_115
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f81,f549,f753]) ).

fof(f81,plain,
    ( ~ hskp1
    | ~ c0_1(a794) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( ~ spl0_114
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f78,f410,f748]) ).

fof(f78,plain,
    ( ~ hskp23
    | ~ c2_1(a856) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_69
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f174,f742,f505]) ).

fof(f174,plain,
    ( ~ c0_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( spl0_50
    | spl0_77
    | ~ spl0_2
    | spl0_42 ),
    inference(avatar_split_clause,[],[f61,f384,f208,f549,f419]) ).

fof(f419,plain,
    ( spl0_50
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f61,plain,
    ! [X4] :
      ( ~ c0_1(X4)
      | c2_1(X4)
      | ~ ndr1_0
      | c1_1(X4)
      | hskp1
      | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( ~ spl0_2
    | spl0_90
    | spl0_85
    | spl0_26 ),
    inference(avatar_split_clause,[],[f34,f308,f590,f614,f208]) ).

fof(f34,plain,
    ! [X50,X51,X49] :
      ( c3_1(X50)
      | c1_1(X51)
      | ~ c2_1(X50)
      | ~ c2_1(X49)
      | c3_1(X51)
      | c0_1(X51)
      | c0_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | c1_1(X50) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f737,plain,
    ( spl0_20
    | spl0_83
    | spl0_54
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f54,f208,f434,f580,f283]) ).

fof(f54,plain,
    ! [X88] :
      ( ~ ndr1_0
      | c0_1(X88)
      | hskp13
      | c3_1(X88)
      | ~ c1_1(X88)
      | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_41
    | spl0_112 ),
    inference(avatar_split_clause,[],[f114,f732,f379]) ).

fof(f114,plain,
    ( c1_1(a867)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_111
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f176,f224,f727]) ).

fof(f224,plain,
    ( spl0_6
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f176,plain,
    ( ~ hskp18
    | ~ c1_1(a828) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( spl0_2
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f162,f349,f208]) ).

fof(f162,plain,
    ( ~ hskp28
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( spl0_31
    | spl0_63
    | ~ spl0_2
    | spl0_22 ),
    inference(avatar_split_clause,[],[f60,f293,f208,f477,f331]) ).

fof(f60,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ ndr1_0
      | hskp8
      | hskp4
      | c1_1(X64)
      | ~ c3_1(X64) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_52
    | spl0_110 ),
    inference(avatar_split_clause,[],[f135,f720,f426]) ).

fof(f135,plain,
    ( c1_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_83
    | spl0_109 ),
    inference(avatar_split_clause,[],[f95,f714,f580]) ).

fof(f95,plain,
    ( c1_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f711,plain,
    ( spl0_108
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f160,f349,f708]) ).

fof(f160,plain,
    ( ~ hskp28
    | c2_1(a797) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( ~ spl0_107
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f146,f419,f703]) ).

fof(f146,plain,
    ( ~ hskp20
    | ~ c2_1(a833) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_106
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f169,f304,f697]) ).

fof(f169,plain,
    ( ~ hskp21
    | ~ c2_1(a838) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f694,plain,
    ( ~ spl0_2
    | spl0_35
    | spl0_61
    | spl0_71 ),
    inference(avatar_split_clause,[],[f15,f515,f469,f349,f208]) ).

fof(f15,plain,
    ! [X93] :
      ( c3_1(X93)
      | hskp19
      | hskp28
      | ~ ndr1_0
      | ~ c1_1(X93)
      | c2_1(X93) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( spl0_35
    | spl0_61
    | spl0_41 ),
    inference(avatar_split_clause,[],[f202,f379,f469,f349]) ).

fof(f202,plain,
    ( hskp30
    | hskp19
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f685,plain,
    ( ~ spl0_16
    | spl0_103 ),
    inference(avatar_split_clause,[],[f104,f682,f265]) ).

fof(f104,plain,
    ( c0_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_102
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f172,f505,f677]) ).

fof(f172,plain,
    ( ~ hskp2
    | ~ c3_1(a795) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_101
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f101,f359,f672]) ).

fof(f101,plain,
    ( ~ hskp12
    | ~ c0_1(a809) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_25
    | spl0_99 ),
    inference(avatar_split_clause,[],[f170,f663,f304]) ).

fof(f170,plain,
    ( c0_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_67
    | spl0_98 ),
    inference(avatar_split_clause,[],[f91,f658,f495]) ).

fof(f91,plain,
    ( c0_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_97
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f147,f419,f653]) ).

fof(f147,plain,
    ( ~ hskp20
    | ~ c0_1(a833) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_67
    | spl0_96 ),
    inference(avatar_split_clause,[],[f90,f648,f495]) ).

fof(f90,plain,
    ( c2_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f646,plain,
    ( ~ spl0_5
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f122,f643,f220]) ).

fof(f122,plain,
    ( ~ c2_1(a816)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f641,plain,
    ( spl0_11
    | spl0_12
    | spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f48,f208,f220,f248,f244]) ).

fof(f48,plain,
    ! [X105] :
      ( ~ ndr1_0
      | hskp14
      | ~ c3_1(X105)
      | ~ c1_1(X105)
      | hskp22
      | ~ c0_1(X105) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( ~ spl0_94
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f156,f255,f637]) ).

fof(f156,plain,
    ( ~ hskp24
    | ~ c1_1(a862) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_2
    | spl0_54
    | spl0_4
    | spl0_36 ),
    inference(avatar_split_clause,[],[f63,f353,f216,f434,f208]) ).

fof(f63,plain,
    ! [X46,X47,X45] :
      ( ~ c2_1(X45)
      | ~ c2_1(X46)
      | ~ c3_1(X45)
      | ~ c1_1(X47)
      | ~ c3_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c3_1(X47)
      | c1_1(X45) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f633,plain,
    ( spl0_27
    | spl0_63
    | spl0_35 ),
    inference(avatar_split_clause,[],[f196,f349,f477,f312]) ).

fof(f196,plain,
    ( hskp28
    | hskp8
    | hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f632,plain,
    ( spl0_93
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f142,f477,f629]) ).

fof(f142,plain,
    ( ~ hskp8
    | c1_1(a805) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl0_27
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f148,f623,f312]) ).

fof(f148,plain,
    ( ~ c0_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f620,plain,
    ( spl0_89
    | spl0_32
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f59,f208,f216,f336,f609]) ).

fof(f59,plain,
    ! [X104] :
      ( ~ ndr1_0
      | ~ c3_1(X104)
      | hskp15
      | hskp16
      | ~ c0_1(X104)
      | ~ c2_1(X104) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f619,plain,
    ( ~ spl0_2
    | spl0_83
    | spl0_90
    | spl0_91 ),
    inference(avatar_split_clause,[],[f64,f617,f614,f580,f208]) ).

fof(f64,plain,
    ! [X96,X97] :
      ( c1_1(X97)
      | ~ c0_1(X97)
      | ~ c2_1(X96)
      | hskp13
      | ~ c1_1(X96)
      | ~ c3_1(X97)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f194,f609,f605]) ).

fof(f194,plain,
    ( ~ hskp16
    | ~ c1_1(a821) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f603,plain,
    ( ~ spl0_61
    | spl0_87 ),
    inference(avatar_split_clause,[],[f181,f600,f469]) ).

fof(f181,plain,
    ( c2_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f598,plain,
    ( ~ spl0_86
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f179,f224,f595]) ).

fof(f179,plain,
    ( ~ hskp18
    | ~ c3_1(a828) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f593,plain,
    ( spl0_54
    | ~ spl0_2
    | spl0_71
    | spl0_67 ),
    inference(avatar_split_clause,[],[f52,f495,f515,f208,f434]) ).

fof(f52,plain,
    ! [X31,X30] :
      ( hskp3
      | c2_1(X30)
      | ~ ndr1_0
      | c3_1(X30)
      | ~ c1_1(X31)
      | ~ c1_1(X30)
      | c0_1(X31)
      | c3_1(X31) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( spl0_31
    | spl0_85
    | spl0_67
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f8,f208,f495,f590,f331]) ).

fof(f8,plain,
    ! [X10] :
      ( ~ ndr1_0
      | hskp3
      | c0_1(X10)
      | c3_1(X10)
      | hskp4
      | c1_1(X10) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f588,plain,
    ( ~ spl0_11
    | spl0_84 ),
    inference(avatar_split_clause,[],[f125,f585,f244]) ).

fof(f125,plain,
    ( c3_1(a840)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f583,plain,
    ( ~ spl0_82
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f94,f580,f576]) ).

fof(f94,plain,
    ( ~ hskp13
    | ~ c0_1(a814) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f571,plain,
    ( ~ spl0_25
    | spl0_81 ),
    inference(avatar_split_clause,[],[f171,f568,f304]) ).

fof(f171,plain,
    ( c3_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f561,plain,
    ( ~ spl0_79
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f126,f244,f558]) ).

fof(f126,plain,
    ( ~ hskp22
    | ~ c0_1(a840) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f556,plain,
    ( ~ spl0_77
    | spl0_78 ),
    inference(avatar_split_clause,[],[f82,f553,f549]) ).

fof(f82,plain,
    ( c3_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f547,plain,
    ( spl0_76
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f145,f419,f544]) ).

fof(f145,plain,
    ( ~ hskp20
    | c1_1(a833) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( ~ spl0_61
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f183,f539,f469]) ).

fof(f183,plain,
    ( ~ c3_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f537,plain,
    ( ~ spl0_2
    | spl0_36
    | spl0_7
    | spl0_63 ),
    inference(avatar_split_clause,[],[f62,f477,f228,f353,f208]) ).

fof(f62,plain,
    ! [X54,X53] :
      ( hskp8
      | ~ c3_1(X54)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ c1_1(X54)
      | ~ c2_1(X53)
      | c1_1(X53)
      | c0_1(X54) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( ~ spl0_1
    | spl0_73 ),
    inference(avatar_split_clause,[],[f72,f527,f204]) ).

fof(f72,plain,
    ( c3_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( spl0_23
    | spl0_10
    | ~ spl0_2
    | spl0_66 ),
    inference(avatar_split_clause,[],[f35,f491,f208,f240,f296]) ).

fof(f35,plain,
    ! [X59,X60,X61] :
      ( ~ c0_1(X61)
      | ~ ndr1_0
      | c0_1(X59)
      | c3_1(X61)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | c2_1(X60)
      | ~ c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X61) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f519,plain,
    ( spl0_34
    | spl0_59
    | spl0_65
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f58,f208,f488,f459,f345]) ).

fof(f58,plain,
    ! [X16,X14,X15] :
      ( ~ ndr1_0
      | c0_1(X14)
      | c3_1(X14)
      | ~ c1_1(X15)
      | ~ c2_1(X15)
      | c3_1(X15)
      | c2_1(X16)
      | c0_1(X16)
      | c1_1(X16)
      | c2_1(X14) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( ~ spl0_2
    | spl0_37
    | spl0_10
    | spl0_53 ),
    inference(avatar_split_clause,[],[f18,f431,f240,f359,f208]) ).

fof(f18,plain,
    ! [X11,X12] :
      ( ~ c3_1(X12)
      | c3_1(X11)
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X11)
      | c0_1(X11)
      | c2_1(X12)
      | c0_1(X12) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( spl0_42
    | ~ spl0_2
    | spl0_71
    | spl0_16 ),
    inference(avatar_split_clause,[],[f37,f265,f515,f208,f384]) ).

fof(f37,plain,
    ! [X73,X74] :
      ( hskp29
      | ~ c1_1(X74)
      | c3_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f503,plain,
    ( ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f88,f500,f495]) ).

fof(f88,plain,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( spl0_65
    | spl0_7
    | spl0_66
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f11,f208,f491,f228,f488]) ).

fof(f11,plain,
    ! [X41,X42,X43] :
      ( ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | c2_1(X42)
      | ~ c1_1(X41)
      | c0_1(X42)
      | c3_1(X42)
      | c3_1(X41)
      | c0_1(X43) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f141,f481,f477]) ).

fof(f141,plain,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( spl0_61
    | ~ spl0_2
    | spl0_44
    | spl0_62 ),
    inference(avatar_split_clause,[],[f22,f473,f391,f208,f469]) ).

fof(f22,plain,
    ! [X89] :
      ( ~ c3_1(X89)
      | ~ c2_1(X89)
      | hskp27
      | ~ ndr1_0
      | hskp19
      | ~ c1_1(X89) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( ~ spl0_3
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f191,f463,f212]) ).

fof(f191,plain,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_59
    | spl0_53 ),
    inference(avatar_split_clause,[],[f21,f431,f459,f228,f208]) ).

fof(f21,plain,
    ! [X65,X66,X67] :
      ( c0_1(X65)
      | ~ c1_1(X66)
      | ~ c2_1(X66)
      | c0_1(X67)
      | ~ c3_1(X65)
      | c2_1(X65)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | ~ c3_1(X67)
      | c3_1(X66) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( spl0_41
    | spl0_50
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f19,f208,f216,f419,f379]) ).

fof(f19,plain,
    ! [X5] :
      ( ~ ndr1_0
      | ~ c0_1(X5)
      | hskp20
      | ~ c3_1(X5)
      | ~ c2_1(X5)
      | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( ~ spl0_14
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f157,f448,f255]) ).

fof(f157,plain,
    ( ~ c3_1(a862)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_31
    | spl0_22
    | ~ spl0_2
    | spl0_26 ),
    inference(avatar_split_clause,[],[f24,f308,f208,f293,f331]) ).

fof(f24,plain,
    ! [X101,X102] :
      ( c1_1(X102)
      | ~ ndr1_0
      | c3_1(X102)
      | c1_1(X101)
      | ~ c3_1(X101)
      | c0_1(X101)
      | ~ c2_1(X102)
      | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( spl0_55
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f139,f442,f438]) ).

fof(f139,plain,
    ( ~ hskp7
    | c3_1(a803) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f429,plain,
    ( ~ spl0_2
    | spl0_50
    | spl0_51
    | spl0_52 ),
    inference(avatar_split_clause,[],[f42,f426,f423,f419,f208]) ).

fof(f42,plain,
    ! [X103] :
      ( hskp9
      | ~ c3_1(X103)
      | hskp20
      | ~ ndr1_0
      | c2_1(X103)
      | ~ c0_1(X103) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_48
    | spl0_49 ),
    inference(avatar_split_clause,[],[f79,f414,f410]) ).

fof(f79,plain,
    ( c0_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_47
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f187,f236,f405]) ).

fof(f187,plain,
    ( ~ hskp5
    | c3_1(a800) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_46
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f73,f204,f400]) ).

fof(f73,plain,
    ( ~ hskp11
    | ~ c2_1(a808) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( ~ spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f85,f395,f391]) ).

fof(f85,plain,
    ( c3_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_16
    | ~ spl0_2
    | spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f69,f387,f384,f208,f265]) ).

fof(f69,plain,
    ! [X82,X81] :
      ( c2_1(X82)
      | c2_1(X81)
      | ~ ndr1_0
      | c1_1(X81)
      | c3_1(X82)
      | c1_1(X82)
      | hskp29
      | ~ c0_1(X81) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f382,plain,
    ( spl0_2
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f113,f379,f208]) ).

fof(f113,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f377,plain,
    ( spl0_40
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f190,f212,f374]) ).

fof(f190,plain,
    ( ~ hskp26
    | c3_1(a869) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_39
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f149,f312,f368]) ).

fof(f149,plain,
    ( ~ hskp10
    | ~ c2_1(a807) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( ~ spl0_37
    | spl0_38 ),
    inference(avatar_split_clause,[],[f102,f363,f359]) ).

fof(f102,plain,
    ( c1_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f355,plain,
    ( spl0_35
    | ~ spl0_2
    | spl0_36
    | spl0_12 ),
    inference(avatar_split_clause,[],[f7,f248,f353,f208,f349]) ).

fof(f7,plain,
    ! [X6,X7] :
      ( ~ c0_1(X7)
      | ~ c3_1(X6)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | ~ c2_1(X6)
      | ~ c1_1(X7)
      | c1_1(X6)
      | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f343,plain,
    ( ~ spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f97,f340,f336]) ).

fof(f97,plain,
    ( c2_1(a817)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f334,plain,
    ( spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f128,f331,f327]) ).

fof(f128,plain,
    ( ~ hskp4
    | c3_1(a799) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f325,plain,
    ( ~ spl0_29
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f177,f224,f322]) ).

fof(f177,plain,
    ( ~ hskp18
    | ~ c2_1(a828) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f302,plain,
    ( ~ spl0_2
    | spl0_24
    | spl0_9
    | spl0_12 ),
    inference(avatar_split_clause,[],[f28,f248,f236,f300,f208]) ).

fof(f28,plain,
    ! [X18,X17] :
      ( ~ c0_1(X17)
      | hskp5
      | ~ c2_1(X18)
      | ~ c0_1(X18)
      | ~ c1_1(X17)
      | c3_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X17) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f298,plain,
    ( ~ spl0_2
    | spl0_22
    | spl0_23
    | spl0_20 ),
    inference(avatar_split_clause,[],[f26,f283,f296,f293,f208]) ).

fof(f26,plain,
    ! [X62,X63] :
      ( hskp6
      | c2_1(X63)
      | c0_1(X62)
      | c1_1(X62)
      | ~ c3_1(X62)
      | ~ c1_1(X63)
      | ~ ndr1_0
      | ~ c3_1(X63) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( ~ spl0_5
    | spl0_21 ),
    inference(avatar_split_clause,[],[f121,f288,f220]) ).

fof(f121,plain,
    ( c0_1(a816)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f286,plain,
    ( spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f118,f283,f279]) ).

fof(f118,plain,
    ( ~ hskp6
    | c2_1(a802) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f272,plain,
    ( ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f106,f269,f265]) ).

fof(f106,plain,
    ( c1_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f253,plain,
    ( spl0_11
    | ~ spl0_2
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f23,f251,f248,f208,f244]) ).

fof(f23,plain,
    ! [X56,X55] :
      ( ~ c0_1(X55)
      | ~ c3_1(X56)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c0_1(X56)
      | hskp22
      | c3_1(X55)
      | ~ c1_1(X56) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f230,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f228,f208,f224,f220]) ).

fof(f9,plain,
    ! [X40] :
      ( ~ c3_1(X40)
      | ~ ndr1_0
      | hskp18
      | c0_1(X40)
      | hskp14
      | ~ c1_1(X40) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN473+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 21:55:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (679)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (673)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (650)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51  % (670)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51  % (646)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (639)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (632)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (631)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (648)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (639)Instruction limit reached!
% 0.19/0.52  % (639)------------------------------
% 0.19/0.52  % (639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (639)Termination reason: Unknown
% 0.19/0.52  % (639)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (639)Memory used [KB]: 6140
% 0.19/0.52  % (639)Time elapsed: 0.010 s
% 0.19/0.52  % (639)Instructions burned: 8 (million)
% 0.19/0.52  % (639)------------------------------
% 0.19/0.52  % (639)------------------------------
% 0.19/0.53  % (678)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53  % (672)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (637)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (635)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (636)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (671)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (640)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (638)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (642)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (641)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (640)Instruction limit reached!
% 0.19/0.53  % (640)------------------------------
% 0.19/0.53  % (640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (640)Termination reason: Unknown
% 0.19/0.53  % (640)Termination phase: shuffling
% 0.19/0.53  
% 0.19/0.53  % (640)Memory used [KB]: 1151
% 0.19/0.53  % (640)Time elapsed: 0.002 s
% 0.19/0.53  % (640)Instructions burned: 2 (million)
% 0.19/0.53  % (640)------------------------------
% 0.19/0.53  % (640)------------------------------
% 0.19/0.53  % (680)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (630)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54  % (649)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (669)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (677)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (676)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (675)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (652)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (643)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (668)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (653)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55  Detected maximum model sizes of [31]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.56  Detected maximum model sizes of [31]
% 0.19/0.56  TRYING [3]
% 0.19/0.56  TRYING [1]
% 0.19/0.56  TRYING [2]
% 0.19/0.56  TRYING [4]
% 0.19/0.56  TRYING [3]
% 0.19/0.57  Detected maximum model sizes of [31]
% 0.19/0.58  TRYING [4]
% 0.19/0.58  % (632)Instruction limit reached!
% 0.19/0.58  % (632)------------------------------
% 0.19/0.58  % (632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (632)Termination reason: Unknown
% 0.19/0.58  % (632)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (632)Memory used [KB]: 1535
% 0.19/0.58  % (632)Time elapsed: 0.169 s
% 0.19/0.58  % (632)Instructions burned: 38 (million)
% 0.19/0.58  % (632)------------------------------
% 0.19/0.58  % (632)------------------------------
% 0.19/0.59  TRYING [1]
% 0.19/0.59  TRYING [2]
% 0.19/0.59  TRYING [3]
% 0.19/0.59  TRYING [4]
% 1.96/0.61  % (631)Refutation not found, incomplete strategy% (631)------------------------------
% 1.96/0.61  % (631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61  % (631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61  % (631)Termination reason: Refutation not found, incomplete strategy
% 1.96/0.61  
% 1.96/0.61  % (631)Memory used [KB]: 6780
% 1.96/0.61  % (631)Time elapsed: 0.196 s
% 1.96/0.61  % (631)Instructions burned: 48 (million)
% 1.96/0.61  % (631)------------------------------
% 1.96/0.61  % (631)------------------------------
% 1.96/0.61  % (635)First to succeed.
% 1.96/0.61  % (638)Instruction limit reached!
% 1.96/0.61  % (638)------------------------------
% 1.96/0.61  % (638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61  % (641)Instruction limit reached!
% 1.96/0.61  % (641)------------------------------
% 1.96/0.61  % (641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62  % (638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62  % (638)Termination reason: Unknown
% 1.96/0.62  % (638)Termination phase: Finite model building SAT solving
% 1.96/0.62  
% 1.96/0.62  % (638)Memory used [KB]: 6396
% 1.96/0.62  % (638)Time elapsed: 0.177 s
% 1.96/0.62  % (638)Instructions burned: 51 (million)
% 1.96/0.62  % (638)------------------------------
% 1.96/0.62  % (638)------------------------------
% 1.96/0.62  % (636)Instruction limit reached!
% 1.96/0.62  % (636)------------------------------
% 1.96/0.62  % (636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62  % (636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62  % (636)Termination reason: Unknown
% 1.96/0.62  % (636)Termination phase: Saturation
% 1.96/0.62  
% 1.96/0.62  % (636)Memory used [KB]: 7164
% 1.96/0.62  % (636)Time elapsed: 0.200 s
% 1.96/0.62  % (636)Instructions burned: 51 (million)
% 1.96/0.62  % (636)------------------------------
% 1.96/0.62  % (636)------------------------------
% 2.14/0.62  % (650)Instruction limit reached!
% 2.14/0.62  % (650)------------------------------
% 2.14/0.62  % (650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.62  % (650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.62  % (650)Termination reason: Unknown
% 2.14/0.62  % (650)Termination phase: Saturation
% 2.14/0.62  
% 2.14/0.62  % (650)Memory used [KB]: 1663
% 2.14/0.62  % (650)Time elapsed: 0.175 s
% 2.14/0.62  % (650)Instructions burned: 76 (million)
% 2.14/0.62  % (650)------------------------------
% 2.14/0.62  % (650)------------------------------
% 2.19/0.63  % (637)Instruction limit reached!
% 2.19/0.63  % (637)------------------------------
% 2.19/0.63  % (637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63  % (637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63  % (637)Termination reason: Unknown
% 2.19/0.63  % (637)Termination phase: Saturation
% 2.19/0.63  
% 2.19/0.63  % (637)Memory used [KB]: 7164
% 2.19/0.63  % (637)Time elapsed: 0.220 s
% 2.19/0.63  % (637)Instructions burned: 48 (million)
% 2.19/0.63  % (637)------------------------------
% 2.19/0.63  % (637)------------------------------
% 2.19/0.63  TRYING [5]
% 2.19/0.63  % (641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63  % (641)Termination reason: Unknown
% 2.19/0.63  % (641)Termination phase: Saturation
% 2.19/0.63  
% 2.19/0.63  % (641)Memory used [KB]: 1535
% 2.19/0.63  % (641)Time elapsed: 0.216 s
% 2.19/0.63  % (641)Instructions burned: 51 (million)
% 2.19/0.63  % (641)------------------------------
% 2.19/0.63  % (641)------------------------------
% 2.19/0.63  % (653)Instruction limit reached!
% 2.19/0.63  % (653)------------------------------
% 2.19/0.63  % (653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63  % (653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63  % (653)Termination reason: Unknown
% 2.19/0.63  % (653)Termination phase: Finite model building SAT solving
% 2.19/0.63  
% 2.19/0.63  % (653)Memory used [KB]: 6524
% 2.19/0.63  % (653)Time elapsed: 0.210 s
% 2.19/0.63  % (653)Instructions burned: 60 (million)
% 2.19/0.63  % (653)------------------------------
% 2.19/0.63  % (653)------------------------------
% 2.19/0.64  % (680)Also succeeded, but the first one will report.
% 2.19/0.64  % (635)Refutation found. Thanks to Tanya!
% 2.19/0.64  % SZS status Theorem for theBenchmark
% 2.19/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.64  % (635)------------------------------
% 2.19/0.64  % (635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64  % (635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.64  % (635)Termination reason: Refutation
% 2.19/0.64  
% 2.19/0.64  % (635)Memory used [KB]: 7291
% 2.19/0.64  % (635)Time elapsed: 0.228 s
% 2.19/0.64  % (635)Instructions burned: 41 (million)
% 2.19/0.64  % (635)------------------------------
% 2.19/0.64  % (635)------------------------------
% 2.19/0.64  % (629)Success in time 0.289 s
%------------------------------------------------------------------------------